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2 years ago

This is a similar triangle please find the missing length. (?)

Mathematics

1 answer:

stira [4]2 years ago

3 0

Answer:

Step-by-step explanation:

Set up as a proportion:

$\frac{QR}{QP}=\frac{BA}{BC}$ , insert given values

$\frac{?}{12}=\frac{30}{36}$ , cross multiple

36*?=30*12

36*?=360, divide both sides by 36 to get the missing side (?) by itself

?=10

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Factor −1/4 out of −1/2x−5/4y. The factored expression is .

Olegator [25]

Answer:

(-1/4)(2x +5y)

Step-by-step explanation:

Multiply and divide by -1/4:

$-\frac{1}{2}x-\frac{5}{4}y=\dfrac{(-\frac{1}{4})(-\frac{1}{2}x-\frac{5}{4}y)}{-\frac{1}{4}}=\left(-\dfrac{1}{4}\right)(-4)\left(-\dfrac{1}{2}x-\dfrac{5}{4}y\right)\\\\=\left(-\dfrac{1}{4}\right)\left(2x+5y)$

7 0

3 years ago

Mrs. Palma took her coworkers out to dinner yesterday and their subtotal was $72.39

vazorg [7]

Answer:

C) $90.48

Step-by-step explanation:

72.39*.2=14.478

72.39*.05=3.6195

14.478+3.6195=18.0975

18.0975+72.39=90.4875

6 0

2 years ago

A circular swimming pool has a radius of 15 ft. There is a path all the way around that pool that is three feet wide. A circle h

LuckyWell [14K]

The circumference of the outer edge of the path around the pool is 113.04 ft.

<h3>What is the circumference?</h3>

The Circumference (or) perimeter of circle = 2πR. where, R is the radius of the circle.

Given

A circular swimming pool has a radius of 15 ft.

There is a path all the way around that pool that is three feet wide.

A circle has a radius of 15 feet.

A larger circle goes around the smaller circle that is 3 feet wide.

The radius of the outer edge of the path around the pool = Radius of circle + width of outer circle.

The radius of the outer edge of the path around the pool = 15 + 3

The radius of the outer edge of the path around the pool = 18ft

The circumference of the outer edge of the path around the pool is;

$\rm Circumference=2\pi r\\\\Circumference = 2\times 3.14 \times 18\\\\Circumference=113.04 \ ft$

Hence, the circumference of the outer edge of the path around the pool is 113.04 ft.

To know more about circumference click the link given below.

brainly.com/question/5023328

8 0

1 year ago

How do you solve this 2x +5 - 7x = 15

Serga [27]

1. combine like terms (2x and -7x) to create -5x
2. subtract 5 from each side to create: -5x=10
3. divide both sides by -5
4. x=-2

7 0

2 years ago

5. How many solutions does this system of equations have?

Diano4ka-milaya [45]

Answer:

$\text{\boxed{\sf{D. \ No\ solution}}}$

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

First, you have to substitute of y=-4x-1.

$\Longrightarrow: \sf{[-4x-1=-4x-9]}$

<u>Add by 4x from both sides.</u>

$\Longrightarrow: \sf{-4x-1+4x=-4x-9+4x}$

<u>Solve.</u>

$\Rightarrow:\sf{-1=-9}\\\\\Rightarrow: \sf{(-9)-(-1)=-9+1=-8}\\\\\Rightarrow: \sf{8=0}$

<u>Therefore, the correct answer is "D. No solution".</u>

I hope this helps. Let me know if you have any questions.

8 0

1 year ago