The vertex of the equation (x - 1)^2 - 9 = 0 is (1. 9)
How to determine the vertex of the equationThe vertex of a quadratic equation is the point at which the graph of the equation reaches its maximum or minimum value.
For a quadratic equation in standard form, y = ax^2 + bx + c, the vertex is located at the point (-b/2a, f(-b/2a))
From the question, we have the following parameters that can be used in our computation:
(x - 1)^2 - 9 = 0
A quadratic equation is represented as
a(x - h)^2 + k = 0
Where the vertex is
Vertex = (h, k)
Using the above as a guide, we have the following:
Vertex = (h, k) = (1, 9)
Hence, the vertex is (1, 9)
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Complete question
How do I find the vertex of the equation
(x - 1)^2 - 9 = 0
Which of the following is equal to 4/7 x 11/15
A. 4 x 7/11 x 15
B. 4 x 15/ 7 x 11
C. 4 x 11/ 7 x 15\
D. 7 x 15/4 x 11
The correct answer is option C: 4 x 11/ 7 x 15.
What is the fractions?
A fraction is a numerical quantity that represents a part of a whole. It is expressed as one number, called the numerator, written above a line, and a second number, called the denominator, written below the same line.
The product of 4/7 and 11/15 is:
(4/7) x (11/15)
= (4 x 11)/(7 x 15) (Multiplying the numerators and denominators separately)
Hence, the correct answer is option C: 4 x 11/ 7 x 15.
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What number a is 24% of 25?
Answer: 24 percent of 25 is 6.
Step-by-step explanation: The output of 24 percent of 25 is 6. To obtain this answer, we multiply 0.24 by 25.
Find the sum of the following arithmetic series:
Answer:
19107
Step-by-step explanation:
First, we need to find the common difference (d), which we can find by subtracting two consecutive terms. Thus, we can do d = 1 - (-3) = 4.
Now, we need to know how many terms are in the arithmetic series. We can find the number using nth term formula, which is
[tex]a_{n}=a_{1}+(n-1)*d[/tex], where a1 is the first term, n is the term position (e.g., 1st, 2nd).
Although we don't know the term position of 389, we can still plug it into the formula and solving for n will reveal it's term number and the total number of sums in the sequence:
[tex]389=-3+(n-1)*4\\392=(n-1)*4\\392=4n-4\\396=4n\\99=n[/tex]
Now, we can find the sum using the sum formula, which is
[tex]S_{n}=n/2*(a_{1}+a_{n})[/tex]
Sn can become S99 since there are 99 terms and we can let an = a99, which we know is 389.
Now, we must solve for S99:
[tex]S_{99}=\frac{99}{2}*(-3+389)\\ S_{99}=\frac{99}{2}*(386)\\ S_{99}=19107[/tex]
if x = 5 what is the value of 2x - 5
Answer:
answer is 5
Step-by-step explanation:
2x=5×2
so 2x=10
10-5=5
so 2x-5=5
Answer:
5
Step-by-step explanation:
2x - 5 first, substitute
2(5) - 5 then, multiply
10 - 5 = 5
What is w, m, and n? please show your work and/or explain
Answer:
w = 102
m = 78
n = 58
Step-by-step explanation:
∠m is an exterior angle of the triangle on the left
exterior angle = sum of alternate interior angles
m° = 36° + 42°
m = 78
m and w are supplementary angles
m + w = 180
78 + w = 180
w = 180 - 78
w = 102
w is an exterior angle of the triangle on the right
w = n + 44
102 = n + 44
102-44 = n
n = 58
if α and β are the roots of the equation x²+x-6=0, where α<β, evaluate 2β²-3α²
Using the roots of the given equation, x²+x-6=0, the value of the expression, 2β²-3α², is -19
Determining the roots of a quadratic equation and evaluating an expressionFrom the question, we are to evaluate the given expression.
In order, to evaluate the expression, we will solve the given quadratic equation
To solve x²+x-6=0, we can use factoring method
Solving the equation
x² + x - 6 = 0
(x + 3)(x - 2) = 0
Setting each factor equal to zero, we get:
x + 3 = 0 or x - 2 = 0
Solving for x in each case, we get:
x = -3 or x = 2
So the solutions to the equation are x=-3 and x=2.
Since α<β
Thus,
α = -3 and β = 2
Then,
2β²-3α²
= 2(2)² -3(-3)²
= 2(4) -3(9)
= 8 - 27
= -19
Hence, the value is -9
Here is the correct question:
If α and β are the roots of the equation x²+x-6=0, where α<β, evaluate 2β²-3α²
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Mr. Perez ask Monica to measure the dimensions of the aquarium to see whether it could fit on the table S applied Michael measured the aquarium's left hand with angle at 96CM and 60CM respectively what is the area of the base of the aquarium
Therefore, the area of the base of the aquarium is 5760 square centimeters.
What is area?Area is a measure of the amount of space inside a two-dimensional (2D) shape or figure. It is usually measured in square units, such as square meters (m²) or square centimeters (cm²). The area of a shape is calculated by multiplying the length of one side or dimension of the shape by the length of another side or dimension. The resulting value represents the total number of square units that are contained within the shape. Area is an important concept in mathematics and is used in various fields, such as geometry, physics, and engineering. It helps in measuring and comparing the sizes of shapes and figures, and in determining how much material is needed to cover or fill a certain area.
Here,
The area of the base can be calculated using the dimensions of the aquarium.
Let's assume that the aquarium has a rectangular base with length L, width W, and height H. Then, the area of the base of the aquarium can be calculated as:
Area of base = Length x Width = L x W
If Monica measured the length and width of the base, we can use those measurements to calculate the area of the base. If not, we'll need to make additional assumptions or measurements.
Assuming we have the length and width of the base, we can calculate the area as follows:
Area of base = Length x Width
Area of base = 96 cm x 60 cm
Area of base = 5760 cm²
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Whats the answer i dont know it
Answer:wth
uhhhhh 5 -7 -8 5
Step-by-step explanation:
the cost of four popcorns (p) and twenty dollars worth of movie tickets
A statement with more than two variables or numbers can be written as an expression using addition, subtraction, multiplication, and division operations. Tickets for the film are $16 each.
What is an expression?A combination of symbols and/or numbers that infers a quantity or a mathematical relationship between two quantities is known as an expression in mathematics. Variables, constants, and operators like addition, subtraction, multiplication, and division can all be found in expressions.
Given that,
Total amount spent = $24.
Cost of the movie ticket = m
Cost of popcorn and soft drinks = 1/2 x m = $(m/2)
The cost of the movie will be calculated as,
Cost of popcorn + Cost of soft drinks + Cost of the movie = $24
[tex]\dfrac{m}{2} + m = 24[/tex]
[tex]\dfrac{(m + 2m)} { 2} = 24[/tex]
[tex]\dfrac{3m}{2} = 24[/tex]
3m = 24 x 2
m = 8 x 2
m = $16
The cost of the movie ticket is $16.
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The complete question is given below.
Rafael spent 24 dollars on a movie ticket, popcorn, and a soft drink. if the combined cost of the popcorn and soft drink was 1/2 the boost of the movie ticket, what was the cost of the movie ticket?
Question 3
Mr Dladla wants to open a training company, he will be training Learnerships and
ABET. He plans to operate at South Gate Mall with the total Market share of 4500
customers per month. He knows that he can only expect 50% of the market share for
the year.
His selling price will be R500 and the cost of running his course in R300. His training
company opens 20 days per month.
(10)
3.1 Calculate his gross profit per day and thereafter
Answer:
To calculate Mr. Dladla's gross profit per day, we first need to calculate his total revenue and total cost per month:
Total revenue per month = Selling price x Expected market share per month
Total revenue per month = R500 x (50% of 4500 customers) = R112,500
Total cost per month = Cost per course x Number of courses per month
Total cost per month = R300 x 20 days = R6,000
Gross profit per month = Total revenue per month - Total cost per month
Gross profit per month = R112,500 - R6,000 = R106,500
To calculate his gross profit per day, we can divide the gross profit per month by the number of days the training company opens per month:
Gross profit per day = Gross profit per month / Number of days per month
Gross profit per day = R106,500 / 20 days = R5,325 per day
Therefore, Mr. Dladla's gross profit per day is R5,325.
Step-by-step explanation:
15. Complete the table showing cost price, selling price and profit or loss. SP Profit Loss R320 CP R850
The selling price is the cost a customer pays for a good or service.
(1) Profit % = 25% . (2) Profit % = 6% . (3) Profit = Rs.9712 .
(4) Profit = Rs.9712 . (5) Loss % = 7.5% .
What is the selling price?The amount a buyer pays for a good or service is known as the selling price.
It may differ based on the price that buyers are prepared to pay, the seller's acceptance threshold, and how competitive the price is in relation to those of other companies in the market.
The cost price of an item is the sum paid for it or the cost at which it was produced. C.P. stands for "cost price." Selling Price: The selling price of a good is the price at which it is sold.
So, the table would be:
(1)
CP = Rs.8000 , SP = Rs.10000
if SP > CP, we have profit.
Profit = SP - CP = 10000 - 8000 = Rs.2000 .
Profit % = (Profit * 100) / CP = (2000 * 100) / 8000 = 25% .
(2)
SP = Rs.6890 , Profit = Rs.390 .
CP = SP - Profit = 6890 - 390 = Rs.6500 .
Profit % = (Profit * 100) / CP = (390 * 100) / 6500 = 6% .
(3)
CP = Rs.25000 , Loss = Rs.1000 .
SP = CP - Loss = 25000 - 1000 = Rs.24000 .
Loss % = (Loss * 100) / CP = (1000 * 100) / 25000 = 4% .
(4)
CP = Rs.48560 , Profit = 20% .
SP = CP * (100 + Profit%) / 100 = (48560 * 120) / 100 = Rs.58272 .
Profit = SP - CP = 58272 - 48560 = Rs.9712 .
(5)
CP = Rs.28320 , SP = Rs.26196 .
CP > SP, we have a Loss.
Loss = CP - SP = 28320 - 26196 = Rs.2124 .
Loss % = (Loss * 100) / CP = (2124 * 100) / 28320 = 7.5% .
Therefore, the selling price is the cost a customer pays for a good or service.
(1) Profit % = 25% . (2) Profit % = 6% . (3) Profit = Rs.9712 .
(4) Profit = Rs.9712 . (5) Loss % = 7.5% .
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Complete question:
Find the profit or loss and complete the table.
Cost Price Selling Price Profit () Loss
Profit Loss
Percentage Percentage
6000
1000
6000
(a) 5000
(b) 6200
(c) 2400
(d) 1900
400
300
1590
190
Levi wants to build a rectangular pen for his animals. One side of the pen will be against the barn; the other three sides will be enclosed with wire fencing. If Levi has 400 feet of fencing, what dimensions would maximize the area of the pen? (a) Let w be the length of the pen perpendicular to the barn. Write an equation to model the area of the pen in terms of w
Answer:
Step-by-step explanation:
Let's call the length of the pen perpendicular to the barn "w", and the length parallel to the barn "l".
The total amount of fencing available is 400 feet. The side against the barn will be of length l, and the other two sides will each be of length w. Therefore, the total length of fencing required is:
l + 2w
This length of fencing must equal 400 feet:
l + 2w = 400
We want to maximize the area of the pen. The area of a rectangle is given by:
A = lw
We can use the equation l + 2w = 400 to solve for l:
l = 400 - 2w
Substituting this expression for l into the equation for the area, we get:
A = w(400 - 2w)
Simplifying:
A = 400w - 2w^2
So the equation to model the area of the pen in terms of w is:
A = 400w - 2w^2
In a certain weather forecast, the chances of a thunderstorm are stated as "4 in 19." Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.
It’s not 0.210 or 0.21052632 ik you need to do 4 divided by 19
So, by resolving the given, we obtain the result: The probability value for probability this ranges from 0 to 1 inclusive.
What is probability?Calculating the chance that an event will occur or a statement will be true is the subject of probability theory, a branch of mathematics. A risk is a number between 0 and 1, where 1 denotes certainty and a probability of about 0 denotes the likelihood that an event will occur. The likelihood that an event will take place is mathematically expressed as probability. Probabilities can also be expressed as percentages ranging from 0% to 100% or as integers between 0 and 1. the proportion of equally plausible possibilities that actually happen in relation to all possible outcomes when a certain event occurs.
It is necessary to divide the number of desired outcomes by the total number of potential outcomes in order to describe the specified degree of possibility as a probability value between 0 and 1 inclusive.
When the likelihood of a thunderstorm is expressed as "4 in 19," it suggests that out of the 19 potential outcomes, 4 of them (a thunderstorm) are desirable (weather conditions).
Hence, the likelihood of a thunderstorm is represented as:
4/19
The probability value for this ranges from 0 to 1 inclusive.
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Triangle ABC, below, is a right triangle with the right angle at C. The measure of angle A is 34°. What is the measure of angle B?
15 POINTS!!! PLEASE HELPPP!!!
Using the graph determine the coordinates of the zeros of the parabola
Answer:
-5 and -The zeros of a parabola are the points on the parabola that intersect the line y = 0 (the horizontal x-axis). Since these points occur where y = 0,
Part 1 The height of a ball (in feet) after t seconds is given by the quadratic function h = -16(t-5)^2 + 119.
A. When does the ball reach its maximum height?
B. What is the maximum height?
The ball may rise height a maximum of [tex]119[/tex] feet.
How is height defined?Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or its base but something above it. Anything that can be measured vertically, whether it is high or low, is referred to as having height.
As the ball hits the quadratic function's vertex, it has grown to its highest point. The position (b, c), wherein b is the vertex's x-coordinate, is where a quadratic function of the type is said to have its vertex.
As the quadratic function in this instance is, the point serves as the vertex (5, 119). The ball therefore reaches its highest point after 5 seconds.
[tex]h=-16(5-5)^{2}+119[/tex]
[tex]h=119[/tex]
Therefore, the maximum height of the ball is [tex]119[/tex] feet.
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A roll has 12 yards of ribbon. Haley uses 6 feet of the ribbon for a swing project. How many feet of ribbon are left on the roll? Show your work?
A roll has 12 yards of ribbon. Haley uses 6 feet of the ribbon for a swing project. There are 30 feet of ribbon are left on the roll.
What is feet?The foot is a unit of measurement. Length is measured by feet.
First, confirm that the numbers use the same measuring units. We can see that Haley used 6 feet out of the roll's 12 yards.
Three feet make up a yard.
Because 6 is equivalent to twice as much as 3 feet and 2 is equal to twice as much as 1, 6 feet would be equal to 2 yards.
So, we must take away 2 from 12; 12-2 equals 10.
Recall that the question asks for feet, therefore we may multiply 10 by 3 to get how many feet are still available.
10 x 3 = 30,
So, 30 feet of ribbon is left on the roll.
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If x = 3 and y = 4, find the value of: 2x-y
Please answer ASAP
Please
A parabola can be drawn given a focus of (1, 11)(1,11) and a directrix of y=3y=3. Write the equation of the parabola in any form.
The result of simplifying this answer is (x - 1)2 = 16(y - 7) (y - 7) The equation for the parabola is presented here in vertex form.
what is parabola ?A parabola is a U-shaped curve in mathematics that is produced by the graph of a quadratic function. It is a particular kind of conic section, which is a circle made when a plane and a cone cross each other. A quadratic function with the following standard form can depict a parabola: Y = ax2+bx+c where are constants a, b, and c. Which way the parabola expands depends on the sign of the coefficient a.
given
We can use the following formula to express the equation of a parabola given a focus and a directrix:
where (h,k) is the parabola's vertex, p is the separation between it and the centre, and the directrix is represented by the horizontal line y = k - p.
The centre in this instance is (1,11), and the directrix is y=3.
We also understand that p is the distance, in this instance 4 units, between the vertex and the focus (since the focus is 4 units above the vertex). Therefore, we can enter the numbers into the formula to obtain:
(x - 1)^2 = 4(4)(y - 7) (y - 7)
The result of simplifying this answer is (x - 1)2 = 16(y - 7) (y - 7) The equation for the parabola is presented here in vertex form.
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7/25 equivalent in percents
1.1 Measure the diameter of the tin in mm and write down the real diameter in mm 1.2 Hence, determine the circumference of the base of the tin in mm. You may us the formula: C = 2лr π = 3,142 Hint: radius = half of diameter 1.3 Measure the height of the tin in mm and write down the real height in mm. MATHEMATICAL LITERACY GRADE 11, 2023 SBA GUIDELINE
We can write the diameter and circumference of the base as -
D = 2√(750ρ/πh)
C = 2π√(750ρ/πh)
What is a circle?A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.
Mathematically, we can write,
y = f(x) = ax + b.
Given is to find the diameter and height of the tin can.
Assume the density of coffee as {ρ}. We can write the volume of the tin can as -
Volume = mass x density
Volume = 750ρ
We can write -
πr²h = 750ρ
r = √(750ρ/πh)
D = 2r
D = 2√(750ρ/πh)
Now, we can write the circumference as -
C = 2πr
C = 2π√(750ρ/πh)
Therefore, we can write the diameter and circumference of the base as -
D = 2√(750ρ/πh)
C = 2π√(750ρ/πh)
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the the percent change from 50 to 22
Answer:
227.27%
Step-by-step explanation:
Please I need help. I don’t understand this.
Answer: πr2h
= π×282×34
= 26656π
= 83742.29377409 centimeters3
Step-by-step explanation:
Answer:
The volume of the composite figure is 12,719 cm³ to the nearest whole number.
Step-by-step explanation:
The composite figure is composed of a cone and a half-sphere.
To calculate the volume of the figure, sum the volume of the cone and the volume of the half-sphere.
[tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex] [tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a half-sphere}\\\\$V=\dfrac{2}{3} \pi r^3$ \\\\ where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\\end{minipage}}[/tex]
Therefore, the equation for the volume of the composite figure is:
[tex]V=\dfrac{1}{3} \pi r^2 h+\dfrac{2}{3} \pi r^3[/tex]
From inspection of the given diagram:
d = 28 cmh = 34 cmπ ≈ 3.14As the diameter of a circle is twice its radius, r = 14 cm.
Substitute the values of r, h and π into the equation and solve for V:
[tex]\begin{aligned}\implies V&=\dfrac{1}{3} \pi r^2 h+\dfrac{2}{3} \pi r^3\\\\&=\dfrac{1}{3} (3.14) (14)^2 (34)+\dfrac{2}{3} (3.14) (14)^3\\\\&=\dfrac{1}{3} (3.14) (196) (34)+\dfrac{2}{3} (3.14) (2744)\\\\&=6974.98666...+5744.10666...\\\\&=12719.09333...\\\\&=12719\;\sf cm^3\;\;(nearest\;whole\;number)\end{aligned}[/tex]
Therefore, the volume of the composite figure is 12,719 cm³ to the nearest whole number.
Suppose you got these results from a survey that was taken to determine the percentage of people in a nearby city who visited a food pantry last month.
Calculate the percentage of people who visited the food pantry last month. Be sure to show your work.
15% of the people in the city visited the food pantry last month.
What is the percentage?
A percentage is a way of expressing a number as a fraction of 100. It is a ratio that compares a number to 100, and it is often denoted using the % symbol. For example, if there are 25 blue marbles in a jar of 100 marbles, we can say that 25% of the marbles are blue. This means that 25 out of every 100 marbles are blue.
To calculate the percentage of people who visited the food pantry last month, we can use the following formula:
Percentage = (Part / Whole) x 100%
where "Part" is the number of people who visited the food pantry last month, and "Whole" is the total number of people in the city.
Plugging in the given values, we get:
Percentage = (150 / 1,000) x 100%
Percentage = 0.15 x 100%
Percentage = 15%
Therefore, 15% of the people in the city visited the food pantry last month.
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Given the linear equation y = 2 x + 5 , evaluate y when x = 9 .
Solve 9x^2-6x+1=2 using the square root property. Round to the nearest hundredth if necessary.
[tex]9x^2-6x+1=2 \iff (3x)^2-2(3x)+1=2\\[/tex]
[tex](3x - 1)^2 = 2[/tex]
[tex]3x-1=-\sqrt{2} \iff 3x = 1 - \sqrt{2} \implies x_{1} = \dfrac{1-\sqrt{2} }{3}\\[/tex]
[tex]3x-1=\sqrt{2} \iff 3x = 1 + \sqrt{2} \implies x_{2} = \dfrac{1+\sqrt{2} }{3}\\[/tex]
[tex](-0.14, \ 0.8)[/tex]
Purchased 1400 units of product at a cost of $40 per unit. Terms of the sale are 5/10, n/60; the invoice is dated November 5
Answer
November 5 - Purchase = 1100Unit cost = $40Payable = (1,100*40) 44000 November 7Returns - 25 defective units = 25*40 =1000Terms of sale = 5/10 , n/60If invoices are paid within 10 days , a discount of 5% is given.Therefore payment on November 15 attracts a discount of 5% of the net purchase Journal entries
Step-by-step explanation:
The data below shows the colors preferred by a group of people. We want to plot this on a pie chart. What will be the central angles of each of these categories?
Red=
blue=
green=
purple=
The central angles for each category are approximately: Red: 100°, Blue: 150°, Green: 50° and Purple: 60°
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
To find the central angle of each category, we first need to calculate the total number of people:
Total = 20 + 30 + 10 + 12 = 72
Next, we can calculate the percentage of people who prefer each color:
Red: 20/72 = 0.278, or 27.8%
Blue: 30/72 = 0.417, or 41.7%
Green: 10/72 = 0.139, or 13.9%
Purple: 12/72 = 0.167, or 16.7%
To find the central angle for each category, we can multiply the percentage by 360°:
Red: 0.278 × 360° = 100.08°
Blue: 0.417 × 360° = 150.12°
Green: 0.139 × 360° = 50.04°
Purple: 0.167 × 360° = 60.48°
Therefore, the central angles for each category are approximately:
Red: 100°, Blue: 150°, Green: 50° and Purple: 60°
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Tebogo pays a R4350 a month for house that she is renting.calculate the amount she will pay after a year.
Answer:
R52200
Step-by-step explanation:
I'm making the assumption that R is a currency symbol.
There are 12 months in a year. Simply multiply the cost for one month by 12 to find the total cost for a year:
4350 * 12 = 52200
-1) cm 23 The diagram shows triangle POR P 4.2 cm 1.6 cm PQ = 1.6 cm Given that angle PQR is obtuse, work out the area of triangle PQR Give your answer correct to 3 significant figures. PR= = 4.2 cm Q 18° R Angle PRO = 18° Diagram NOT accurately drawn
The area of the triangle is approximately 1.987 square units.
What are the properties of Triangle?The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.
Using sin rule of a triangle,
[tex]\frac{Sin A}{a} = \frac{Sin C}{c} = \frac{Sin B}{b}[/tex]
In our case,
[tex]\frac{Sin 18}{1.6} = \frac{Sin Q}{4.2} = \frac{Sin P}{QR}[/tex]
From equation 1
[tex]\frac{Sin 18}{1.6} = \frac{Sin Q}{4.2} \\\frac{(Sin 18)*4.2}{1.6} = {Sin Q}\\Sin \ Q =21/8* sin\ 18\\[/tex]
Thus,
∠Q = 125.79 degrees
since sum of all angles is 180 degrees
so,
∠P = 180-125.79-18
∠P = 36.21
So From the equation 1
[tex]\frac{Sin 18}{1.6} = \frac{Sin P}{QR}\\\frac{Sin 18}{1.6} = \frac{Sin 36.2}{QR}\\QR = \frac{Sin 36.2}{\frac{Sin 18}{1.6}}[/tex]
QR = 3.06 cm
To find the area of the triangle, we can use Heron's formula:
Area = √(s(s-a)(s-b)(s-c))
where a, b, and c are the side lengths and s is the semi perimeter:
s = (a + b + c)/2
Plugging in the values we get:
s = (4.2 + 1.6 + 3.052)/2
s ≈ 4.426
Now we can use Heron's formula:
Area = √(4.426(4.426-4.2)(4.426-1.6)(4.426-3.052))
Using a calculator, we find:
Area ≈ 1.987 square units
Therefore, the area of the triangle is approximately 1.987 square units.
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Complete question:
The diagram shows triangle PQR, PR = 4.2 cm, PQ = 1.6 cm Given that angle PQR is obtuse triangle, work out the area of triangle PQR Give your answer correct to 3 significant figures. Angle PRQ = 18° Diagram NOT accurately drawn
