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3 years ago

7

Question is link so do that.

1 answer:

labwork [276]3 years ago

7 0

Answer:

90

Step-by-step explanation:

180 divided by 2 is 90

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Solve the equation.<br> a/4 − 5/6= −1/2

Masteriza [31]

Answer: a = 4/3

Step-by-step explanation:

1. a/4 − 5/6= −1/2 convert -1/2 to -3/6

2. a/4 = 5/6 - 3/6 = 2/6 = 1/3

3. a = 4*2/6 = 4*1/3

4. a = 4/3

4 0

3 years ago

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The height of a building is proportional to the number of floors. The figure shows the height of a building with 7 floors. Compl

VladimirAG [237]

Can't give you an answer without a picture of the figure.

6 0

3 years ago

the equation of line k is y=-1/5x-1/8. what is the equation of the line k that is perpendicular to line k and passes through (0,

Svetach [21]

y=5x is the equation

7 0

3 years ago

Do you hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg the longer leg is 7 feet longer than the

Lera25 [3.4K]

Answer:

Shorter leg: 8 units

Longer leg: 15 units

Hypotenuse: 17 units

Step-by-step explanation:

We are given $h=1+2s$ where $h$ is the hypotenuse and $s$ is the length of the shorter leg.

We got this equation from reading that the "hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg". I replaced the "hypotenuse of a triangle" with $h$ , "is" with $=$ , "1 foot more than" with $1+$ and finally "twice the length of the shorter leg" with $2s$ .

We also have "longer leg is 7 feet longer than the shorter leg".

I'm going to replace "longer leg" with $L$ .

I'm going to replace "is" with $=$ .

I'm going to replace "7 feet longer than the shorter leg" with $7+s$ .

So we have the equation $L=7+s$ .

So we have a right triangle since something there is a side being referred to as the hypotenuse. We can use Pythagorean Theorem to find a relation between all these sides.

So by Pythagorean Theorem, we have: $s^2+L^2=h^2$ .

Let's make some substitutions from above:

$s^2+(7+s)^2=(1+2s)^2$

Let's expand the powers using:

$(a+b)^2=a^2+2ab+b^2$

Applying this now:

$s^2+(49+2(7)s+s^2)=(1+2(1)(2s)+(2s)^2)$

$s^2+49+14s+s^2=1+4s+4s^2$

Combine like terms on right hand side:

$2s^2+49+14s=1+4s+4s^2$

Subtract everything on left hand side to get 0 on that side:

$0=(1-49)+(4s-14s)+(4s^2-2s^2)$

Simplify:

$0=(-48)+(-10s)+(2s^2)$

Reorder into standard form for a quadratic:

$0=2s^2-10s-48$

Every term is even and therefore divisible by 2. I will divide both sides by 2:

$0=s^2-5s-24$

I'm going to see if this is factoroable.

We need to see if we can come up with two numbers that multiply -24 and add up to be -5.

Those numbers are -8 and 3.

So the factored form is:

$0=(s-8)(s+3)$

This implies that either $s-8=0$ os $s+3=0$ .

The first equation can be solved by adding 8 on both sides: $s=8$ .

The second equation can be solved by subtracting 3 on both sides: $s=-3$ .

The only solution that makes sense for $s$ is 8 since it can't the shorter length cannot be a negative number.

$s=8$

$L=7+s=7+8=15$

$h=1+2s=1+2(8)=1+16=17$

So the dimensions of the right triangle are:

Shorter leg: 8 units

Longer leg: 15 units

Hypotenuse: 17 units

6 0

4 years ago

Find the volume. Please

Lelu [443]

Answer:

Step-by-step explanation:

the figure is divided into a cube and a cuboid

for the cube,

volume = a^3

= 6^3 = 216 cm^3

for the cuboid,

volume = l × b × h

= 13 × 6 × 6

=468 cm^3

so total volume = volume of the cube + volume of the cuboid

= 216 + 468

=684 cm^3

hope this helps

plz mark it as brainliest!!!!!!!!

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3 years ago

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