BRAINLIEST***

How would i find the length of g?

klasskru [66]

Answer:

$g=28.8\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle BDC

Find the value of j

Applying the Pythagorean Theorem

$j^2=5^2+12^2$

$j^2=169\\j=13\ units$

step 2

In the right triangle ABD

Applying the Pythagorean Theorem

$h^2=12^2+g^2$ ----> equation A

step 3

In the right triangle ABC

Applying the Pythagorean Theorem

$(g+5)^2=h^2+13^2$ ----> equation B

step 4

Substitute equation A in equation B

$(g+5)^2=(12^2+g^2)+13^2$

solve for g

$g^2+10g+25=144+g^2+169\\10g=288\\g=28.8\ units$

4 0

3 years ago

Unit rate 232 miles in 4 hours

Norma-Jean [14]

Answer:

58 miles per hour

Step-by-step explanation:

leave a heart please :D

7 0

3 years ago

What is the equation of the line that passes through (-2,-3) and is perpenicular to 2X -3Y= 6

Rufina [12.5K]

You should first of all rewrite the equation in slope intercept form. You should get y=2/3x-2. The perpendicular slope is the opposite reciprocal, in this case -3/2. You will use this slope and the point to write your equation in point slope form and then clean this up to get it into slope intercept form. You should get y=-3/2x-6

5 0

3 years ago

A contractor has been hired to install flooring for a bandstand in the shape of a circle that is 21 feet across. How many square

SOVA2 [1]

Answer:

A. 346.19 square feet.

Step-by-step explanation:

We have been given that a contractor has been hired to install flooring for a bandstand in the shape of a circle that is 21 feet across.

To find the square feet of flooring required, we will find area of circle.

Since the length across the circle is 21 feet, so radius of circle will be half of 21 feet.

$\text{Radius}=\frac{\text{21 feet}}{2}$

$\text{Radius}=\text{10.5 feet}$

$\text{Area of circle}=\pi r^2$

$\text{Area of circle}=\pi (\text{10.5 feet})^2$

$\text{Area of circle}=3.14*110.25\text{ feet}^2$

$\text{Area of circle}=346.185\text{ feet}^2$

$\text{Area of circle}\approx 346.19\text{ feet}^2$

Therefore, 346.19 square feet of flooring will be required.

3 0

3 years ago

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Ruthie wants to construct a line that passes through point P and is perpendicular to AB. What should Ruthie do first?

borishaifa [10]

Ruthie wants to construct a line that passes through point P and is perpendicular to AB. What should Ruthie do first?

A) measure the length of segment AB with her compass
B) construct two intersecting arcs with centers A and B
C) use her straight-edge to draw a line from point P to point A
☆☆☆D) construct an arc with center P that intersects segment AB in two points

8 0

4 years ago

Read 2 more answers