In the figure below, triangle ABC is similar to triangle PQR:
A right triangle ABC with right angle at B and base BC is drawn. Length of AB is 4, length of BC is 2. A similar right triangle; triangle PQR, which is triangle ABC enlarged and reflected across a horizontal line, is drawn near it. The right angle is at Q. Angle A is congruent to angle P and angle C is congruent to angle R. The length of QR is 12.
What is the length of side PQ?
48
24
40
18
Answer:
24
Step-by-step explanation:
Since the triangles are similar the side lengths must be proportional
2/12 = 4/PQ cross multiply expressions
2PQ = 48 divide both sides by 2
PQ = 24
the x-intercept of the function f(x)=x^2-81
Answer:
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Answer:
x=9
x=-9
Step-by-step explanation:
The x intercept or roots are x values that makes the f(x) equal 0. So in order words, to find the x intercept. Set the equation equal 0.
[tex] {x}^{2} - 81 = 0[/tex]
We can approach this problem 2 ways
Way 1: Differnece of Squares
Recall that
[tex]a {}^{2} - {b}^{2} = (a + b)(a - b)[/tex]
Since x^2 and 81 are both perfect squares and 81 is negative, we can say that
[tex](x + 9)(x - 9) = 0[/tex]
Set each equation to zero
[tex]x = 9[/tex]
[tex]x = - 9[/tex]
Way 2: Take square root of both sides
[tex] {x}^{2} - 81 = 0[/tex]
[tex] {x}^{2} = 81[/tex]
Next step, take square root of both sides. Square root produce negative and positive solutions so
[tex]x = 9[/tex]
or
[tex]x = - 9[/tex]
A taxi cab company charges a flat rate of $2.00 per trip plus $0.25 per mile of the trip. If m is the number of miles traveled on a particular trip, interpret the following expressions: a) 0.25m b) 2.00 + 0.25m
Answer:
b) 2.00 + 0.25m
Step-by-step explanation:
2.00per trip and $0.25 per mile = 2.00 + 0.25m
Answer:
see below
Step-by-step explanation:
a) 0.25m
This is the cost of the mileage alone
The cost is 25 cents per mile times m miles
b) 2.00 + 0.25m
This is the total cost of the trip
There is a 2 dollar flat rate fee plus the cost of the miles
2 dollars plus m miles at 25 cents per mile
The question is in the picture
Answer:
[tex]10^{19}[/tex]
[tex]10^{-6} * 10^{25} = 10^{19}[/tex]
Step-by-step explanation:
10^46/ 10^-4 = [tex]10^{50}[/tex]
[tex]\sqrt{10^{50} } = 10^{25}[/tex]
write 9/10 as a percentage
Answer:
90%
Step-by-step explanation:
Percent means out of 100
9/10 *10/10
90/100
90%
A square has a perimeter of 32 and one vertex at (6,8). what could be the location of another vertex of this shape?
PLEASE HELP I AM IN A RUSH!!!
Answer:
6,5
Step-by-step explanation:
Answer:
(6,0),(-2,8),(-2,0)
What number could be added to 0.40 mL for the level pf precision to be 0.01mL?
Answer:
-0.39mL
Step-by-step explanation:
Let x be the number.
The expression would be: 0.40 + x = 0.01
Apply algebra to the equation to solve for x. You can subtract 0.40 from each side to simplify the expression. Here's what it should look like after applying algebra: x = -0.39
Therefore the answer is -0.39mL
Look at this graph:
10
9
8
7
6
5
4
3
2
X
0
1
2
3
4
5
6
8
9
10
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit
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Answer:
3/5
Step-by-step explanation:
The rise is 3 while the run is 5, so the slope = rise over run = 3/5.
Answer:
5/6
Step-by-step explanation:
slope = change in y over change in x
Write as an equation: Sara spent $2 more than Lauren, and together they spent $19.
Answer:
Equations:
a + b = 19
a = b + 2
a = Money that spent Laura
b = Money that spent Laureen
then:
(b+2) + b = 19
2b + 2 = 19
2b = 19-2
2b = 17
b = 17/2
b = 8.5
a = b + 2
a = 8.5 + 2
a = 10.5
Check:
10.5 + 8.5 = 19
The city soccer club has thirteen new members and fifty-two returning members. If they break up into teams of eleven players, how many complete teams would there be?
Answer:
5
Step-by-step explanation:
The easiest way to do this is to add the new members to the old and then divide by 11. Ignore the remainder.
13 + 52 = 65
65 / 11 = 5 with 10 left over. Ignore the 10. That's not a complete team.
The answer is 5
Find the magnitude of the vector. Write your answer in simplified form.
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8
6
4
NO
Х
-10
-8
-6
-4
-2
0
2
4
6
8
10
-2
-4
-6
-8
-10
look
[tex] \sqrt{117} [/tex]
I am an odd two-digit number. The sum of my two digits is 10 and the difference of my two digits is 0. What number am I?
A plumber’s apprentice needs to cut a 54-inch length of pipe so that one piece is twice the length of the other piece. How far from the endpoint should the apprentice cut the pipe?
Answer:
18 inches
Step-by-step explanation:
To to this you would just divide 54 by 3 and you would get how far away from the endpoint which is 18 inches
I order 700 notebooks by accident. I only need 3⁄7 of my order. How many notebooks do I return?
I have to return 400 notebooks.
Here, we have,
given that,
I order 700 notebooks by accident. I only need 3⁄7 of my order.
To determine how many notebooks you need to return, you can calculate 4/7 of your order, which represents the portion you don't need.
Let's calculate it step by step:
Calculate the number of notebooks you don't need:
4/7 * 700 = 400
we have,
I only need 3⁄7 of my order.
so, i need = 3/7 * 700
= 300
Subtract the number of notebooks you need from the total order to find the number of notebooks you should return:
700 - 300 = 400
Therefore, you should return 400 notebooks.
To learn more on subtraction click:
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Find the arc length of the partial circle.
Answer:
arc length = 4π units
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{90}{360}[/tex]
= 2π × 8 × [tex]\frac{1}{4}[/tex]
= 2π × 2
= 4π units ← exact answer
The fuel efficiency of one type of car is recorded in a scatterplot where the amount of gas used, x (in gallons), is paired with the distance traveled, y (in miles), for various trips. The equation for the line of best fit for the data is y = 28x. How can the y-intercept and slope of this line be interpreted
Answer:
The answer can be interpreted by the distance moved by each gallon :))
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
Mathhhhhhhhhhhhhhhhhhhhhhhh Algebraaaaaaaa
Answer:
m=5/3
Step-by-step explanation:
Answer:
5/3 or 1 2/3
Step-by-step explanation:
First you subtract 4/3 from the left side. 23/6-4/3= 2 1/2
Then you multiply 2 on both sides, this simplifies the left side to be 3m and the right side 5.
Lastly, you divide by 3 to isolate the variable m.
And you get 5/3, which also equals 1 2/3
3) Suppose Sandra makes credit card purchase for $4,000 that compounds interest daily. The APR is 3%. How much interest is earned on Sandra’s card after 1 year if Sandra makes no payments? (Use the formula below for help).
A=P(1+r/n)nt
Answer:
$121.81
Step-by-step explanation:
A= 4000(1+.03/365)^365
[tex]4000\left(1+\frac{0.03}{365}\right)^{365}=4121.81305\dots[/tex]
Total interest earned on Sandra’s card after 1 year is $4,121.81
What is compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A=P(1+r/n[tex])^{nt}[/tex]
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
Given,
A=P(1+r/n[tex])^{nt}[/tex]
Sandra makes a credit card purchase for $4,000 that compounds interest daily.
P = $4,000
r =3%
t = 1 year
A=P(1+r/n[tex])^{nt}[/tex]
Substitute the values of P, r and t in the formula,
First, convert R as a percent to r as a decimal
r = R/100
r = 3/100
r = 0.03 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 4,000.00(1 + 0.03/365)(365)(1)
A = 4,000.00(1 + 8.2191780821918E-5)(365)
A = $4,121.81
Therefore, total interest earned on Sandra’s card after 1 year is $4,121.81.
To learn more about the compound interest rate;
https://brainly.com/question/13307568
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What is the value of this expression when g = -3.5?
8 − |2g − 5|
A. 20
B. 10
C. 6
D. -4
g = -3,5
8 - |2g - 5| = 8 - |2 · (-3,5) - 5| =
= 8 - |-7 - 5| = 8 - |-12| = 8 - 12 = -4
1. In rhombus ABCD, the length of OC is 4.25 com. What is the length of OA?
A. 4.25 cm
B. 2.13 cm
C. 10.0 cm
D. 8.5cm
Answer: OA = 4.25cm
Step-by-step explanation:
As the diagonals of Rhombus bisects and divides the diagonal into two equal parts OA = OC
OA = 4.25 cm
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SUPER URGENT HELP NEEDED! BRAINLIEST AVAILABLE!
HELP IN NEED THESE ANSWERED ASAP! WILL GIVE BRAINLIEST TO THE PERSON WHO CAN ANSWER THESE QUICKEST AND I NEED ANSWERS TO ALL 4, BUT DON'T NEED ANY WORKING OUT, BUT IF YOU WANT TO YOU CAN! ALSO IF YOU ONLY KNOW THE ANSWER TO 1 OR 2 OF THEM, JUST SEND THAT, AND I WILL STILL GIVE YOU BRAINLIEST!
Answer:
1B)[tex] 11[/tex]
1C)$ 5104$
1D) $A=3 B=-51$
1E) [tex] \frac{1}{8}[/tex]
Step-by-step explanation:
The above answer!
if f(x) =7x+5/3-x, then show that fof power -1(x) is an identity function
Answer:
please see the steps in the picture
Can someone plz help me ASAP!!!!!!!!
Answer:
A) The number halfway between -2 and 6 is 2.
B) -10 is halfway between -18 and 8
Determine the vertex of the function f(x) = 3(x - 2)^2 + 1.
(2, 1)
(-2, 1)
(1,2)
(1,-2)
Answer:
The vertex is at (2,1)
Step-by-step explanation:
The vertex form of a quadratic is
y = a(x-h)^2 +k where (h,k) is the vertex
f(x) = 3(x - 2)^2 + 1.
The vertex is at (2,1)
Hassan built a fence around a square yard. It took 48\text{ m}^248 m 2 48, start text, space, m, end text, squared of lumber to build the fence. The fence is 1.51.51, point, 5 meters tall. What is the area of the yard inside the fence? \text{m}^2m 2
Answer:
64
Step-by-step explanation:
khan acadamy
Answer:
64
Step-by-step explanation:
If Tan A=5/12 then find cot A, cos A and Sin A
Cot A=1/tan A=12/5
cos A= 12/13
sin A=5/13
Draw a right angled triangle
the hypotenuse is the longest side which is 13 using Pythagoras theorem
the side opposite the angle A is 5
the side closest to the angle A which is called the adjacent is 12
sinA =opp/hyp
cos A= adj/hyp
cotA =1/tanA=cos A/sinA
Note: Pythagoras theorem is
hyp²=opp²+adj²
Answer:
Step-by-step explanation:
[tex]tan \ A = \frac{5}{12}=\frac{opposite \ site}{adjacent \ side}[/tex]
hypotenuse² = (opposite side)² + (adjacent side)²
= 5² + 12²
= 25 + 144
= 169
hypotenuse = √169 = √13*13 = 13
[tex]Cot \ A = \frac{adjacent \ side}{opposite \ side}=\frac{12}{5}\\\\Cos \ A = \frac{adjacent \ side}{hypotenuse}=\frac{12}{13}\\\\Sin \ A = \frac{opposite \ side}{hypotenuse}=\frac{5}{13}[/tex]
What is the value of m that makes the equation true? 18m- 2+ 7m- 8= -60
Answer:
m = -2
Step-by-step explanation:
First, let's move all variables to one side of the equation. (Don't forget to change the signs when you move the numbers to the other side.)
18m + 7m = -60 + 2 + 8
Now we simplify to get this:
25m = -50
Now we divide -50 by 25 which gets us -2.
Therefore, m = -2
Hope this helps!
Please help explanation if possible
that's the answer pls mark as brainliest
Answer:
x = 71 and y = 19
Step-by-step explanation:
Given the 2 equations
x + y = 90 → (1)
x = 14 + 3y → (2)
Substitute x = 14 + 3y into (1)
14 + 3y + y = 90 ( subtract 14 from both sides )
4y = 76 ( divide both sides by 4 )
y = 19
Substitute y = 19 into (1) for value of x
x + 19 = 90 ( subtract 19 from both sides )
x = 71
Larger number x = 71 ; Smaller number y = 19
1. What is the solution to 6m – 10 = 22 – 2m ?
Answer:
The value of m in the given equation is 4.
Step-by-step explanation:
6m - 10 = 22 - 2m
Add 2m on both sides of the equation.
8m - 10 = 22
Add 10 to both sides of the equation.
8m = 32
Divide by 8 on both sides of the equation.
m = 4
The value of m is 4.
Can someone help me on this math question its confusing ill give brainly when right!!!