Can someone help me find the length of b of the unknown side in this triangle? Thanks! :)
Answer: 4
Step-by-step explanation:
Using pythagoras theorem =>
b=[tex]\sqrt{c^2-a^2[/tex]
b=[tex]\sqrt{5^2-3^2}[/tex]
b=[tex]\sqrt{25-9}[/tex]
b=[tex]\sqrt{16}[/tex]
b=4
Answer:
4
Step-by-step explanation:
Use the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
The measure of the hypotenuse is 5. The measure of the given leg is 3.
[tex]3^2+b^2=5^2\\\rightarrow 3^2 = 9; 5^2=25\\9+b^2=25\\9-9+b^2=25-9 \leftarrow \text {Subtraction Property of Equality} \\b^2=16\\\sqrt{b^2}=\sqrt{16} \leftarrow \text {Square Root Property of Equality}\\\boxed {b=4}[/tex]
The unknown side of the triangle should be four units.
What is the equation to the quadratic function that has zeros at -12 and 7?
Group of answer choices
x2 - 19x + 84 = 0
x2 - 5x - 84 = 0
x2 + 19x + 84 = 0
x2 + 5x - 84 = 0
Which expression is equivalent to 36a minus 27?
9 (4a minus 3)
3 (18a minus 9)
9 (4a minus 27)
3 (12a minus 6)
Answer:
It's the first expression
Step-by-step explanation:
9 (4a minus 3)
(9x4a)-(9x3)
36a minus 27
The correct expression equivalent to 36a minus 27 is 9(4a minus 3)
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, an expression is 36a minus 27, we need to find an expression equivalent to the given expression,
So, converting the expression into mathematical expression,
36a minus 27
= 36a-27
HCF of 36 and 27 is 9, so taking 9 common,
Therefore,
36a-27 = 9(4a-9)
We can write 9(4a-9) in statement,
9(4a-9) = 9(4a minus 3)
Hence, the correct expression equivalent to 36a minus 27 is 9(4a minus 3)
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A land bridge from Asia to the Americas was made possible by which of the following?
A) archaeologists
B) the development of stone tools
C) last Ice Age
D) prehistoric people
Answer:
C, Last Ice Age
Step-by-step explanation:
A land bridge wouldn't be developed by humans. The only reasonable explanation would be the last Ice Age
A land bridge from Asia to the Americas was made possible by the last Ice Age. So, the correct answer is C.
What is Land Bridge?A land bridge is an isthmus or wider land connection between otherwise separate areas, over which animals and plants are able to cross and colonize new lands.
A land bridge from Asia to the Americas was made possible by the last Ice Age.
During the last Ice Age, much of the Earth's water was locked up in glaciers, causing sea levels to drop and exposing a land bridge between Asia and North America.
This allowed prehistoric people to migrate from Asia to the Americas, a journey that would not have been possible without the land bridge created by the last Ice Age.
Hence, A land bridge from Asia to the Americas was made possible by the last Ice Age. So, the correct answer is C.
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Find area of trapezoid
Answer:
The area of the trapezoid would be 115 inches.
math question screen shot down below
Answer:
B. 1/2
It will always be a 50/50 probability cause there are only 2 sides
Which of the following rational functions is graphed below?
Answer:
the answer is A, u can try graphing it if u need to verify
Considering it's asymptotes, it is found that the rational function graphed below is given by:
A. [tex]F(x) = \frac{1}{(x - 6)(x + 6)}[/tex]
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.In this question, looking at the graph, it is found that there are vertical asymptotes at x = -6 and x = 6, and an horizontal asymptote at y = 0, hence the function is given by:
A. [tex]F(x) = \frac{1}{(x - 6)(x + 6)}[/tex]
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20points. please help once again
Answer:
325 adults and 612 children
A total of 937 people attended the play. Admission was $2.00 for adults and $0.75 for students. The total ticket sales amounted to $1,109. How many students and adults attended the school play? First complete the equations below, where A stands for Adults and S stands for Students.
[325]A + [612]S = 1,109; A + S = [2.75]
325 (amount of adults) x 2 (2 is the amount of money for each adult ticket)
= $650
937 (amount of people total in the play) - 325 (adults)
= 612 (kids)
612 x 0.75 (amount for each child)
= $459
$459 + 650 = $1109
325 + 612 = 937
ASAP!!
consider the diagram below.
which of the following is the value of x?
a- 2
b- 11
c- 20
d- 29
Answer:
(CHOICE C)
X= 20
Step-by-step explanation:
SOLVE FOR X AND USE 45* ANGLE FOR HELP.
What is the area of the triangle?
A right triangle with side lengths 3 inches, 4 inches, and 5 inches.
A.6 square inches
B.7 and one-half square inches
C.10 square inches
D.12 square inches
Answer:
The answer is A. 6 square inches
Step-by-step explanation:
The area of a triangle is half the product of the height and base
Which of the following describes how to translate the graph of y = Ixl to obtain the graph of y = lx + 1l - 2?
shift right 1 and down 2
shift left 1 and down 2
shift right 1 and up 2
Answer:
Shift left 1 and down 2
Step-by-step explanation:
Use the quadratic formula to solve the equation
X^2+9X+20=0
Answer:
x=-4
x=-5
Step-by-step explanation:
Answer:
-4 or -5
Step-by-step explanation:
Well, you have to first understand variables a, b, and c. A in this equation is 1, b is 9, and c is 20. Then you plug those into -b ± sqrt (b^2-4ac)/2a and find that the discriminant, or what is under the square root, is one. Your two roots will be -4 and -5.
A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 4 had a mispriced item. If 1,600 people go to this store each day, how many people would you expect to have a mispriced item?
Answer:
128
Step-by-step explanation:
There are 32 50's in 1600.
So 32x4=128
Solve for x. Explain the steps taken to find the solution.
3/2 + 3x/5 = 9/2 4x/5
Answer:
iymb usy,jikdokjjjzkkjzjkjhhg6993
f(x)= 20 + 12(x - 2)
Answer:
f(x) = 12x - 4
Step-by-step explanation:
f(x)= 20 + 12(x - 2)
Distribute
f(x) =20 +12x - 24
Combine like terms
f(x) = 12x+20-24
f(x) = 12x - 4
Answer:
y=12x-6
Step-by-step explanation:
y=20+12x-24
y=12x-4
let g(x) = 2x and h(x) = x^2+4. Evaluate (h x g)(-3).
Answer:
Step-by-step explanation:
Use math-way!
Find the arc length of the partial circle.
Either enter an exact answer in terms of t or use 3.14 for it and enter your answer as a decimal.
Answer:
9.42 Units
Step-by-step explanation:
Either enter an exact answer in terms of pi or us 3.14 for pi and enter your answer as a decimal.
The arc length of a partial circle whose radius is 8 and measure of the central angle is 90 degrees is 12.
To find the arc length of a partial circle, we can use the formula:
Arc Length (L) = θ × r,
where L is the arc length, θ is the central angle in radians (or degrees), and r is the radius of the circle.
In this case, the radius (r) is given as 8 units, and the measure of the central angle (θ) is given as 90 degrees. However, we need to convert the central angle from degrees to radians before plugging it into the formula, as trigonometric functions work with radians.
To convert degrees to radians, we use the conversion factor: π radians = 180 degrees.
θ (in radians) = 90 degrees × (π radians / 180 degrees) ≈ 1.57 radians.
Now, we can calculate the arc length:
Arc Length (L) = 1.57 radians × 8 units ≈ 12.
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What is the equation to the quadratic function that has zeros at -6 and 16?
Group of answer choices
x2 + 22x + 96 = 0
x2 + 10x - 96 = 0
x2 - 22x + 96 = 0
x2 - 10x - 96 = 0
Answer:
x^2 -10x -96 =0
Step-by-step explanation:
Subtract the zeros from x in factors
(x - -6) (x-16)
(x+6) (x-16)
Set these equal to zero since they are zeros
(x+6) (x-16) =0
FOIL
x^2 -16x+6x -96 =0
x^2 -10x -96 =0
Adding and subtracting radicals
Explain why the amount of money in the account at the end of tyears is given by the formula:
Answer:
P_1st year = P0 x (1 + r/n) = P0 x (1 + r/n)^1
P_2nd year = P0 x (1 + r/n) (1 + r/n) = P0 x (1 + r/n)^2
...
P_n year = P0 x (1 + r/n)^n
Hope this helps!
:)
which of the following is a point on the graph of y=(1/2) ^x
Answer:
The answer is (2, 1/4)
Step-by-step explanation:
I inputted the equation on a graphing calculator
math question down below
Answer:
whats the question i dont see the link
Step-by-step explanation:
The radius of a circle is 12.1 in. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Answer:
76.03
Step-by-step explanation:
Answer:
the circumference is 76.027 but it rounded to the nearest tenth is 76.030
Step-by-step explanation:
What number should both sides of the following equation be multiplied by to solve for x?
x/7.25 = 4
4
7.25
7
29
Answer:
[tex] \frac{x}{7.25} = 4 \\ x = 4 \times 7.25 \\ x = 29[/tex]
Miche found that most helicopters fly at speeds of less than 270 kilometers per hour. Her work is shown below. s > 270 A number line going from 260 to 285. An open circle is at 270. Everything to the right of the circle is shaded. Which mistakes did she make? Check all that apply.
Answer:
The inequality should be s<270.The number line should be shaded to the left.Step-by-step explanation:
Miche found that most helicopters fly at speeds of less than 270 kilometers per hour.
If s=speed of the helicopters
Then: s<270Representing this on a number line:
We have an open circle at 270.Everything to the left of the circle is shaded.Since the options are not given, I would list the mistakes made by Miche.
The inequality should be s<270.The number line should be shaded to the left.Answer:
A and D
Step-by-step explanation:
I hope this helped <3 ·ω·
what's 30x-9=900????????
Answer:
30.3
Step-by-step explanation:
909/30 = 30.3
x = 30.3
Answer: 300.3
Step-by-step explanation
30x-9=9000
30x=9009
x= 300.3
What is the center and radius of the following circle (x - 5) ^ 2 + (y + 2) ^ 2 = 16
Answer:
Step-by-step explanation:
if center=(h,k)
radius=r
eq. of circle is (x-h)^2+(y-k)^2=r^2
given eq. is (x-5)^2+(y+2)^2=16=4^2
comparing
center =(5,-2)
radius r=4
Write an equation in slope-intercept form for the line that passes through (−2,−5) and is parallel to the line described by y=2x+5 .
Answer:
Step-by-step explanation:
y + 5 = 2(x + 2)
y + 5 = 2x + 4
y = 2x - 1
Finding a Linear Regression Model
Warm-Up
Find a linear function that models the data in the table
2
y
f(x) =
-4
-6
-1
-1
0
1
2
4
3
7
Answer:
f(x) = 1.8x + 1
Step-by-step explanation:
I graphed the table on the graph below and found the equation of the line.
If this answer is correct, please make me Brainliest!
The data below show the weights, in pounds, of a group of professional football players.
325, 310, 289, 288, 285, 285, 285, 280, 280, 273
The mean of the data set is 290 pounds. What is the mean absolute deviation of the data
set, to the nearest whole number?
26
18
11
5
Answer:
26
Step-by-step explanation:
The mean absolute deviation of the data is 11.
The mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean.
To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values.
Given: The data below show the weights, in pounds, of a group of professional football players.
325, 310, 289, 288, 285, 285, 285, 280, 280, 273
The mean of the data set is 290 pounds.
How to find the mean absolute deviation of the data
set, to the nearest whole number?
The average absolute deviation is
[(325-290)+(310-290)+|(289-290)|+|(288-290)|+3|(280-290)|+21(280-290)|+|(273-290)|]/10
=> (35+20+1+2+5+5+5+10+10+17)/10
=> 11.
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