Answers
Base = 17 inches
Height = 12 inches
In the given figure, the shaded region is a triangle,
So, Area of a Triangle = 1/2 x base x Height
⇒ Area of a Triangle = 1/2 x 17 x 12
⇒ Area of a Triangle = 17 x 6
⇒ Area of a Triangle = 102 square inches.
What is a Triangle?Having three straight sides and three angles, a triangle is a flat figure.In Euclidean space, the total of a triangle's internal angles is always 180 degrees. The parallel postulate of Euclid is comparable to this fact. By using the measurements of the first two angles, it is possible to calculate the size of the third angle in any triangle. An angle that is a linear pair (and thus supplementary) to an interior angle is the outside angle of a triangle. The exterior angle theorem states that the measures of two inner angles that are not contiguous to each other add up to the measure of an exterior angle of a triangle. Any triangle's three outside angles, one for each vertex, add up to a total of 360 degrees.To learn more about Triangles, refer to:
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Related Questions
e. Write an equation for the line containing all possible images of point C.
Answers
Following a dilation with a scale factor of s, the coordinates of point C are 3.s +2,s. The line's equation is 3y = x - 2
What is the slope intercept equation for this line?When you know the slope of the line to be examined and the point given is also the y intercept, you can use the slope intercept formula
y = mx + b. (0, b).
The y value of the y intercept point is represented by b in the formula.
First part
The scale factor of dilation = 2
Given that the center of dilation is the point (2, 0) on the preimage, we have;
The coordinates of the image are;
(2, 0), (2 ×(5 - 2) + 2, (2 × (1 - 0)), (2 × (5 - 2) + 2, 0)
Which gives;
The coordinates of the vertices of the image are; (2, 0), (8, 2), (8, 0)
Please find the drawing of the image of the dilation of triangle ΔABC with a scale factor of 2 attached.
Second [part;
The scale factor = 3
Center of dilation = (2, 0)
The coordinates of the image are therefore;
(2, 0), (3 × (5 - 2) + 2, (3 × (1 - 0)), (3 × (5 - 2) + 2, 0)
Which gives;
(2, 0), (11, 3), and (11, 0)
Please find attached the drawing of the image of the dilation of triangle ΔABC with a scale factor of 3
Third part;
The scale factor = 12
Center of dilation = (2, 0)
The coordinates of the image are;
(2, 0), (12 × (5 - 2), 12 × (1 - 0)), (12 × (5 - 2), 0)
Which gives;
(2, 0), (36, 12), (36, 0)
Please discover connected the drawing of the image of ΔABC having a scale factor of 12
Fourth part
Center of dilation = (2, 0)
Scale factor of dilation = s
The coordinates of the image are;
A(2, 0), C(s × (5 - 2) + 2), s × (1 - 0)), B(s × (5 - 2) + 2, 0)
Which gives;
The coordinate of point C is 3.s +2,s.
Fifth part
The slope of the line is m, which is equal to the slope of the side AC of Δ A B C, which is given as follows;
[tex]$m=\frac{1-0}{5-2}=\frac{1}{3}[/tex]
The equation of the line in point and slope form is therefore;
[tex]$y=\frac{1}{3} \times(\mathrm{x}-2)[/tex]
Which gives;
3y = x - 2
- The equation of the line is 3y = x - 2
The complete question is:
Here is triangle ABC. Draw the dilation of triangle ABC with center (2,0) and scale factor 2. Draw the dilation of triangle ABC with center (2,0) and scale factor 3. Draw the dilation of triangle ABC with center (2,0) and scale factor 12. What are the coordinates of the image of point C when triangle ABC is dilated with center (2,0) and scale factor s? Write an equation for the line containing all possible images of point C.
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Suppose that ab = 5 cm. If we continually duplicated segment ab, what are the lengths of the first four segments you would be able to construct?
Answers
After solving the arithmetic sequences, he lengths of the first four segments will be 20 cm.
What is arithmetic sequences?Arithmetic sequences take the following format: a, a+d, a+2d, a+3d, etc. up to n terms. A is the first term; d is a frequent difference; and n is the total number of terms.
Find the AP, the number of terms, and the common difference for the calculation using the arithmetic sequence formulas. To determine the nth term, sum, or common difference of a given arithmetic sequence, various arithmetic series formulas are used.
To find the lengths of the first four segments we use the Arithmetic progression formula that is
[tex]a_n =[/tex] a₁ + (n - 1)d
Where
an = the nᵗʰ term in the sequence
a₁ = the first term in the sequence
d = the common difference between terms
We have a₁ as 5 cm and as it is being duplicated the common ration d is 5
and we have been asked the length of the first four segments, so n = 4
Lets substitute the given information
[tex]a_n =[/tex] 5 + (4 - 1)5
= 5 +(3)5
= 5 + 15
= 20
Thus, after continually duplicated segment ab, the lengths of the first four segments will be 20Cm
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A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint
A. how many cups of red paint should be added to one cup of white paint?
B. What is the consistent of proportionality?
Answers
A) One cup of white paint requires 3/7 cups of red paint.
B) The constant of proportionality is 7/3.
What is the Constant of Proportionality?The proportionality constant is the ratio that connects two given values in a proportional relationship. The constant of proportionality is also known as the constant ratio, constant rate, unit rate, constant of variation, and even the rate of change.
Given:
A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint.
So,
7 cups of white paint are needed for every 3 cups of red paint
One cup of white paint requires 3/7 cups of red paint.
To calculate the constant of proportionality, we find the ratio of the white and red paints which is
Cups of white paint: Cups of red paint = 1: 3/7 = 7/3
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The domain for f(x) and g(x) is the set of all real numbers.
Let fix)=x²+1 and g(x) = 3x.
Find f-g-
A. x²+3x+1
B. 3x³ +3x+1
C. x² + 3x
D. x²-3x+1
Answers
The value of the composite function (f - g)(x) is x² - 3x + 1
How to evaluate the function?The functions are given as
f(x) = x² + 1
g(x) = 3x
The composite function definition is given as
(f - g)(x)
This composite function is calculated using the following composite function formula
(f - g)(x) = f(x) - g(x)
Substitute the known values in the above equation
So, we have the following equation
(f - g)(x) = x² + 1 - 3x
Evaluate the like terms
(f - g)(x) = x² - 3x + 1
Hence, the composite function is (f - g)(x) = x² - 3x + 1
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divide to get the answer
Answers
105 4/61 105 with a remainder of 4
Need help asap, 30 points
Answers
Answer:
Combining like terms
Step-by-step explanation:
Answer: Combing like terms
The answer to the math problem is 76.2 if the r means remainder
Step-by-step explanation: Hope this helps
Thanks for the points:)
y=-4x+12
6x+ 5y = 11
Answers
The value of x = 7/2 and y = -2, Given equation are linear.
What is a linear equation?
When the greatest power of the variable is consistently 1, an equation is considered to be linear. A one-degree equation is another name for it. The typical form of a linear equation with one variable is Ax + B = 0.
The equation are,
y=-4x+12 --------(i)
6x+ 5y = 11 --------(ii)
for eq(i),
y + 4x = 12
4x + y = 12
Now, put together both the equation and multiply with coefficient of x to make common value of x so that we can cut by opposite signs,
(4x + y = 12) * 6
(6x+ 5y = 11) * 4
After multiplying, we get
24x + 6y = 72
24x + 20y = 44
Now change the signs with + to - and - to +, like that
24x + 6y = 72
24x + 20y = 44
- - -
-----------------------
0 + 6y - 20y = 72 - 44
=> -14y = 28
=> y = 28/(-14)
=> y = -2
Put y = -2 in eq(i),
4x + y = 12
4x - 2 = 12
4x = 12 + 2
x = 14/4
x = 7/2
Hence, the values we get after solving given equation is x=7/2 and y= -2.
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What is output by the following code? Select all that apply.
c = 0
while (c < 11):
c = c + 6
print (c)
Answers
The answer is
6, 12
hope this helps!
The sides of a triangle are 7 cm, 18 cm, and 16 cm. Find the length of the longest side of a similar triangle whose shortest side is 14.7 cm.
Answers
The longest side of the other triangle is 37.8 cm
How to determine the longest side of the other triangle?From the question, the sides of the triangle are given as
Sides of a triangle = 7 cm, 18 cm, and 16 cmThe shortest side on a similar triangle is 14.7 cm.This means that
Ratio = Corresponding sides of the triangles
So, we have
Ratio = Longest sides : Shorters sides
Substitute the known values in the above equation
So, we have the following equation
18 : 7 = Longest side : 14.7
Multiply 18 : 7 by 2.1
So, we have
37.8 : 14.7 = Longest side : 14.7
So, we have
Longest side = 37.8
Hence, the longest side is 37.8 cm
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The digits in the product of 0.48 and a decimal number between 350 and 400 are 182136. explain how to correctly place the decimal point without knowing the other factor. then place the decimal point in the product
Answers
The right way to write digit 182136 without knowing the other factor is by; moving the decimal points 3 places to the left.
What is the explanation for the above?It is given that the digits in the product of 0.48 and a decimal number between 350 and 400 are 182136. Note that 0.48 is simply 48/100.
Hence, consider the decimal number between 350 and 400. The number will include one decimal place, so if it's 350.1, we may express it as 3501/10.
When we multiply 48/100 by 3501/10, the denominator is 1000, which is three decimal points to the left of the result.
As a result, the right method to express the answer supplied to us is 182.136, which was accomplished by shifting the decimal point three spaces to the left.
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Write an equation of the line that passes through the given point and is (a) parallel and b) perpendicular to the given line.
a. y =
b. y=
Answers
(a) The equation of the parallel line is y = 3x - 11.
(b) The equation of the perpendicular line is y = - x/3 - 1.
Consider the line graphed,
The two points on the line are ( 1, - 4 ) and ( 2, - 1 ).
Now, the slope of the line with two points ( x₁, y₁ ) and ( x₂, y₂ ) is:
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Then,
m = ( - 1 - (-4) ) / ( 2 - 1 )
m = 3
(a) The lines which are parallel have the same slope.
Now, the parallel line passes through ( 3, - 2 ).
Therefore, the equation of the line is y = mx + b where b is the y-intercept.
y = mx + b
- 2 = 3 × 3 + b
- 2 = 9 + b
b = - 11
Therefore, the equation of the line is y = 3x - 11.
(b) The slope of the line perpendicular to the line with slope m is equal to - 1/m.
Then the slope of the perpendicular line is - 1/3.
The line passes through the point ( 3, - 2 ).
y = mx + b
- 2 = ( - 1/3 ) × 3 + b
- 2 = - 1 + b
b = - 1
Then the equation of the perpendicular line is:
y = - x/3 - 1
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what are the appropriate tools to measure the lengths of the sides and the angles of a trapizoid
Answers
Answer: A ruler and a protracor
Step-by-step explanation:
What is the answer to (6x²)(-3x5)
Answers
Answer:6x² - 5x + 3 - (3x² + 8x - 4) = 3x² - 13x + 7
i hope this helped
〒▽〒
- Without looking, Jeff threw a small beanbag on a target with a radius of 20 cm. Adiagram of the target is shown below.10 cm 10 cmcIf the beanbag lands on the target, what is the probability it will land on the shadedarea?
Answers
To find the probability, we will need to first find the area of the whole circle and the area of the shaded part.
Area of the Big Circle
Given that the radius, R, is 20cm, the area is
[tex]\begin{gathered} A=\pi R^2 \\ =\pi\times20^2 \\ =400\pi \end{gathered}[/tex]Area of the Shaded Part
We can find the area of the shaded part by calculating the area of the small circle (r = 10cm) and subtract it from the big circle.
Hence
[tex]\begin{gathered} a=\pi r^2 \\ a=\pi\times10^2 \\ a=100\pi \end{gathered}[/tex]The area of the shaded portion is
[tex]\begin{gathered} A_s=A-a \\ A_s=400\pi-100\pi \\ A_s=300\pi \end{gathered}[/tex]Probability of landing on the shaded portion:
The probability is calculated by
[tex]\begin{gathered} P(A_s)=\frac{A_s}{A} \\ =\frac{300\pi}{400\pi} \\ P(A_s)=\frac{3}{4} \end{gathered}[/tex]Therefore, the probability that the ball will land on the shaded area is 3/4.
The FOURTH OPTION is correct.
Graph the equation y-2=1/5(x-5)
Answers
The points to be graphed are (0, 1) and (-0.2, 0). The graph of the equation is shown in the attached image
How to graph the equation of a line?
Given y-2=1/5(x-5)
In order to graph the equation of the line:
First, find the value of x when y = 0:
y-2=1/5(x-5), when y = 0:
0 -2 = 1/5(x-5)
-2 = 1/5x - 1
1/5x = -2 + 1
1/5x = -1
-5x = 1
x = -1/5 = -0.2
Also, find the value of y when x = 0:
y-2= 1/5(x-5), when x = 0:
y-2= 1/5(0-5)
y-2 = 1/5(-5)
y-2 = -1
y = 1
Therefore, the values to be plotted on our graph are (0, 1) and (-0.2, 0). The image of the graph is attached
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4 of 4
A notebook costs £1.10, a pen costs 43p, a pencil costs 24p and a sharpener costs 88p.
Remi buys 2 pencils, 2 pens, 3 sharpeners and some notebooks.
He pays with £7 and receives 82p change.
How many notebooks did he buy?
Answers
Answer:
He bought 2 notebooks
Step-by-step explanation:
Add up the cost of the pens, pencils, sharpeners, and the change.
This will give you £4.80, subtract that from £7.00 and you get £2.20
Since the notebooks are only £1.10, he could've only bought 2.
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Marissa is selling paintings for $15 each and bracelets for $7 each. Her goal is to sell at least $800 in products, and she must sell at least 60 bracelets. Which of the
following combinations will satisfy these constraints?
O20 paintings and 65 bracelets
O25 paintings and 60 bracelets
O26 paintings and 61 bracelets
014 paintings and 45 bracelets
Answers
Answer:
the answer is: 026 paintings and 61 bracelets
Step-by-step explanation:
20•15=300+65•7=755
25•15=375+60•7=795
26•15= 390+61•7=817
14•15= 210+41•7=497
Answer: 26 paintings and 61 bracelets
Step-by-step explanation:
Helps me please I’m having trouble
Answers
a) The slope of the equation is m = 291.5
b) The y intercept is y = 2944.01
What is y- intercept ?An intercept in mathematics is a location on the y-axis through which the line's slope passes. It is a place on the y-axis where a straight line or a curve crosses. This is reflected in the equation for a line, which is written as y = mx+c, where m denotes slope and c denotes the y-intercept.
Given : y = 291.5x + 2944.01
and x = number of years after 2000
y = total cost
a) The given equation is of the form y = mx + c
On comparing these two equations , we get that the slope m = 291.5
b) The y intercept is y = 2944.01
The y intercept means the value of the y when x = 0 .
Thu when we substitute the value of x as 0
we get y = 2944.01
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Two linear functions are displayed. Function One is represented by the graph:
A linear function is graphed in the coordinate plane with a slope of two and a y-intercept of zero.
The second linear function is y = -4x. Which statement is true about the slope of the two functions?
Answers
The statement that is true about linear functions is the slope of function one is positive and the slope of function two is negative. The correct option is A.
What is a linear function?A graph that has a straight line is called a linear function.
Given:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Given that the 1st graph has a positive slope; as x increases, the y-value also increases. So, the 1st graph should have a positive slope.
The given equation is our second line;
y = -4x
Using,
y = mx + b
We see that our slope m = -4. Therefore, the 2nd graph has a negative slope.
Therefore, the correct option is A.
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The question is incomplete. Your most probably complete question is given below:
A) The slope of function one is positive and the slope of function two is negative.
B) Both functions have a negative slope.
C) Both functions have a positive slope.
D) Both functions have the same slope.
Please help need it now!
Angela took 104 selfies last week. 1/4 of the selfies taken include her BFF Brianna. How many selfies include Brianna?
Answers
Answer:
26 selfies included Brianna
Step-by-step explanation:
Simply multiply the total amount of selfies (104) by the fraction of which included her BFF Brianna (1/4):
[tex]104*\frac{1}{4} =26[/tex]
Tony rounded each of the numbers 1,183 and 1,145 to the nearest hundred. Which choice correctly compares the rounded numbers?
Answers
Answer: 1,200 and 1,100
Step-by-step explanation:
For to the nearest hundred
1,183 = 1,200
1,145 = 1,100
True or false, this is not a proportional graph
Answers
Answer:
True
Step-by-step explanation:
The line doesn't go through the origin (0, 0). Therefore, it does not have a constant of proportionality. (even though it has a constant slope)
Also, it's a trick question. The answer is false because the statement is a negative.
True! all proportional graphs must go through 0,0 (origin point) and go a steady direction!
200 chapattis is 50cm high how high will 10 chapattis be?
Answers
Answer:
5
Step-by-step explanation:
im not sure
Calculate the value of a in the triangle below.
15 cm
12 cm
a cm
Answers
Answer:
a = 9 cm
Step-by-step explanation:
Calculate the value of a in the triangle below.15 cm12 cma cmit is a right triangle and we use the Pythagorean theorem
a = √(15²-12²)
a = √(225 - 144)
a = √81
a = 9 cm
Triangles worksheet
Answers
We can tell if the components on each side of the equation are congruent when you see the equals sign with a squiggly line on top. Name the corresponding sides after that. Two triangles with corresponding sides have matching sides. Congruent triangles will have the same length.
How did you recognize the triangles' matching sides?The same two angle pairs are touched by corresponding sides. When the sides are equivalent, you can multiply each side by the same value to move from one triangle to another. The corresponding sides of the triangles in the similar triangles diagram are the same color.The side a (next to b) must match either v or x, for instance, if one polygon has the sequential sides a, b, c, d, and e and the other has the sequential sides v, w, x, y, and z. (both adjacent to w).If two triangles have sides A,B,C and a,b,c, respectively, and they are similar, then the pair of matching sides are proportionate, meaning that A: a = B: b = C.The relationship between the sides and angles of two congruent triangles is referred to as "corresponding parts of congruent triangles," or cpct.To learn more about Triangles refer to:
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Find the median number of points.
4
5
5
8
8
8
9
12
13
Answers
Answer:
8
Step-by-step explanation:
Hello, no worries! It's a pleasure to meet and help you out today.
Median refers to the number that is in the middle of a data set.
The data set you provided has the numbers listed in order, which is great! However, if it's not listed in order, then you must list it in order by yourself.
Data Set: 4, 5, 5, 8, 8, 8, 9, 12, 13
As I said previously, we must find the middle value in the data set.
Data Set: 4, 5, 5, 8, 8, 8, 9, 12, 13
Clearly, the middle value in the data set is 8, so that's the median.
I hope my work has helped you in a way, and I wish you the best of luck with the rest of your assignment! (:
Which value is not equivalent to the others two to the fifth power or two to the second power times two to the third power or 2+2+2+2+2 or 2×2×2×2×2
Answers
2 to the power of 5 can be written as
[tex]$2^{5}[/tex] = 2 2 2 2 2 2 = 32. Power is defined as a base number multiplied by its exponent, where the base number is the factor multiplied by itself and the exponent is the number of times the same base number is multiplied.
What is meant by second power?The number 5³ is pronounced as "five to the third power," "five to the power three," or "five to the third." There are two special powers: "to the second power" is commonly pronounced "squared," and "to the third power" is commonly pronounced "cubed."To find ax, simply multiply a by itself x times. To compute two to the second power, multiply two by itself two times. The exponent of a number indicates how many times the number should be multiplied. The "2" in 8² tells us to multiply 8 twice, so 8² = 8 × 8 = 64. In other words, 8² could be referred to as "8 to the power 2," "8 to the second power," or simply "8 squared."To learn more about exponent, refer to:
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How do I get the volume of a cuboid of length 6.2cm, width 3.4cm, and height 5cm?
Answers
Considering the provided information and that the volume of a cuboid is the result of multiplying the width by the length by the height, we obtain the following:
Volume of a cuboid= Width * Length * Height
Volume of a cuboid= 3.4cm * 6.2cm * 5cm
Volume of a cuboid= 105.4 cm³
Finally we obtain that the volume of the cuboid is 105.4 cm³
I need help pls and thank u
vertical angles are a pair of _____ angles formed by two intersectin lines.
Answers
Answer:
Vertical acute angles are a pair of acute angles formed by two intersectin lines.
On a coordinate plane, a curved line with a minimum value of (negative 1.25, negative 3.25) and a maximum value of (0.25, negative 1.75), crosses the x-axis at (negative 2.25, 0), and crosses the y-axis at (0, negative 2). The line exits the plane at (negative 2.75, 6) and (1.5, 6).
Which statement is true about the end behavior of the graphed function?
As the x-values go to positive infinity, the function's values go to negative infinity.
As the x-values go to zero, the function's values go to positive infinity.
As the x-values go to negative infinity, the function's values are equal to zero.
As the x-values go to positive infinity, the function's values go to positive infinity.
Answers
The true statement about the end behaviour of the described function is the fourth option;
As the x–values go to positive infinity, the function's value go to positive infinity What is the end behaviour of a function?The end behaviour of a function is the description of the shape of the function's graph towards the left and right extremities of the x–axis
The points on the graphed function, obtained from the description are;
Minimum point; (-1.25, -3.25)
Maximum point; (0.25, -1.75)
x–intercept; (-2.25, 0)
y–intercept; (0, -2)
Exit points of the graph on the plane; (-2.75, 6), and (1.5, 6)
Arranging the above points with respect to their location on the x–axis gives;
(-2.75, 6), (-2.25, 0), (-1.25, -3.25), (0, -2), (0.25, -1.75), (1.5, 6)
Observing the y–values indicates that the y–values decreases in the region; -2.75 ≤ x < -1.25, and the y–values increases in the region; -1.25 < x ≤ 1.5
Which gives;
The turning point on the graph are the points (-1.25, -3.25) and (0.25, -1.75)
However, as the x–values increases towards+1.5, the y–value increases to 6
The correct option is therefore;
As the x–value go to positive infinity, the function value goes to positive infinity
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Answer:
its A
Step-by-step explanation:
