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2 years ago

Triangles ABD and ACE are similar right triangles. which ratio best explains why the slope of AB is the same as the slope of AC

Mathematics

1 answer:

IgorC [24]2 years ago

8 0

slope is rise over run.

Which segments from each triangle represent rise and which represent run?

little triangle: rise is BD and run is DA

big triangle: rise is CE and run is EA

Answer: D $\frac{BD}{DA} = \frac{CE}{EA}$

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write and solve an equation to find the width of the box if it's volume is 96 cubic centimeters. then find its surface area

Alex73 [517]

There's not enough given information in the question to calculate an answer.

If we only know that the volume of the box is 96 cm³, then there are an infinite
number of different lengths, widths, and surface areas that it could have.

8 0

2 years ago

Yesterday's World Cup final had viewing figures of 138,695,157. What is the value of the 3?

crimeas [40]

Answer:

The value of the 3 is 30,000,000.

Step-by-step explanation:

From the digit at the right, you go multiplying each element by 10 powered to a counter that starts at zero and increases at every digit. So:

Our counter is i

i = 0;

v(7) is the value of the 7

$v(7) = 7*10^{0} = 7$

i = 1;

v(5) is the value of the 5

$v(5) = 5*10^{1} = 50$

i = 2;

v(1) is the value of the 1

$v(1) = 1*10^{2} = 100$

i = 3;

v(5) is the value of the 5

$v(5) = 5*10^{3} = 5,000$

i = 4;

v(9) is the value of the 9

$v(9) = 9*10^{4} = 90,000$

i = 5;

v(6) is the value of the 6

$v(6) = 6*10^{5} = 600,000$

i = 6;

v(8) is the value of the 8

$v(8) = 8*10^{6} = 8,000,000$

i = 7;

v(3) is the value of the 3

$v(3) = 3*10^{7} = 30,000,000$

The value of the 3 is 30,000,000.

8 0

2 years ago

An entrepreneur estimates that the total profit (profit = total revenue minus total cost) from his proposed company will be give

SOVA2 [1]

No profit means P(x)=0: x³-4x²+3x-12=0
factor by regrouping: x²(x-4)+3(x-4)=0
take out (x-4): (x-4)(x²+3)=0
x=4 or x²=-3
x² is not a negative number, so x=4 is the only answer.

4 0

2 years ago

Read 2 more answers

A group of college DJs surveyed students to find out what music to plan for their upcoming parties. Thirty percent of the studen

Sindrei [870]

Answer:

A - The proportion of students that like trance music but not dubstep is 10%

B - The proportion of students that like either dubstep or trance is 40%

C - The proportion of students that like neither trance music nor dubstep is 60%

D - The proportion of students that didn’t select any of the music options available on the survey was 40%

E - The proportion of students that preferred either dubstep or trance is calculated by: P(D) + P(T) - P(D and T)

F - The conditional probability that a student likes dubstep, given that he or she likes trance music, is 60%

Step-by-step explanation:

P(D)=the students preferred dubstep=30%

P(T)=the students selected trance music=25%

P(H)=the students selected house music=20%

P(D and T)=the students liked both dubstep and trance=15%

A - The proportion of students that like trance music but not dubstep is:

P(T) - P(D and T)=25%-15%=10%

B - The proportion of students that like either dubstep or trance is:

P(D) + P(T) - P(D and T) =30%+25%-15% = 40%

C - The proportion of students that like neither trance music nor dubstep is

100% - (P(D) + P(T) - P(D and T) ) =60%

D - The proportion of students that didn’t select any of the music options available on the survey was:

100% - (P(H)+P(D) + P(T) - P(D and T) ) =40%

F - The conditional probability that a student likes dubstep, given that he or she likes trance music, is:

$\frac{P(D and T)}{P(T)}$ = $\frac{0.15}{0.25} =0.60$

6 0

2 years ago

Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?

Ber [7]

So first you have to find the perfect square that matches up with x^2 + 6x

so half of 6, and square it. your perfect square is 9

x^2 + 6x + 9 = 7 + 9

then, condense the left side of the equation into a squared binomial:

(x + 3)^2 = 16

take the square root of both sides:

x + 3 = ± √16

therefore:

x + 3 = ± 4

x = - 3 ± 4

so your solution set is:

x = 1, -7

7 0

2 years ago

Read 2 more answers