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2 years ago

A. Find the slope of the roof of a home that rises 8 feet for every horizontal change of 24 feet.

1 answer:

7 0

A. rise over run. 8/24=1/3
slope:1/3

b. find the cost per pound 11.60/4=2.90
then multiply by the amount of pounds 2.90*3.5=10.15

$10.15

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Julie has 5 times as many red beads as green beads. She has half as many yellow beads as red beads. She has 12 green beads.

ANEK [815]

12 green beads
60 red beads
30 yellow beads.
102 beads in all.

I hope this helped:)

8 0

2 years ago

Sylvester says that 0.000002015 written in scientific notation is 2.015 x 10 by the power of 6. Do you agree with him? Explain w

Marrrta [24]

Answer:

$0.000002015$ is not equal to $2.015x10^6$

Step-by-step explanation:

When a power of 10 is positive the dot must be moved to the right, and when the power of 10 is negative, the dot must be moved to the left.

For example $50.000x10^3=50000$ and $45.00x10^{-3}=0.045$

$2.015x10^6=2,015,000$

wich is clearly not equal to 0.000002015

the correct scientific notation for 0.000002015 must be:

$2.015x10^{-6}$

With a negative in the power of 10, referring to a small quantity.

3 0

2 years ago

Determine the value of $a$. [asy] pair w=(0,4); pair x=(0,0); pair y=(4,0); pair z=y+7/sqrt(2)*(1,1); dot(w); dot(x); dot(y); do

grandymaker [24]

Answer:

a=7

Step-by-step explanation:

The image is rendered and attached below.

Triangle WXY is an Isosceles right triangle, since WX=XY.

First, we determine the length of WY using Pythagoras Theorem.

$WY=\sqrt{4^2+4^2}\\WY=\sqrt{32}$

Since triangle WXY is Isosceles, $\angle XYW=45^\circ$

$\angle XYZ=\angle XYW+\angle WYZ\\135^\circ=45^\circ+\angle WYZ\\\angle WYZ=135^\circ-45^\circ=90^\circ$

Therefore:

Triangle WYZ is a right triangle with WZ as the hypothenuse.

Applying Pythagoras Theorem

$WZ^2=WY^2+YZ^2\\9^2=(\sqrt{32})^2+a^2\\a^2=81-32\\a^2=49\\a^2=7^2\\$Therefore: a=7$

3 0

2 years ago

Age c) The group is planning to build a fence around the garden. How many yards of fencing materials do they need for the fence?

FromTheMoon [43]

Answer:

Step-by-step explanation:

The perimeter is obtained by taking the sun of the fence :

Outer fencing :

Let's obtain b :

From Pythagoras :

b² = 15² - 12²

b = sqrt(225 - 144)

b = 9

Outer fencing = 2(12+6) + 2(8+9)

= 2(18) + 2(17)

= 36 + 34

= 70

Inner fencing :

(8 + 9 + 12 + 6 + 15 + 10) = 60

(70 + 60) = 130 yards

3 0

2 years ago

How do I work out the problem 44,756÷167

ArbitrLikvidat [17]

Eazy 44,756
then you do 167 not take 447 the first part of the first number now can 167 go into 447 yes it can then from there wants you have leftover numbers then add 5 to the leftover and see if 167 can go into it from there take the last digit from 44,756 and there you go

8 0

3 years ago