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3 years ago

Find all the missing measurement

Mathematics

1 answer:

kogti [31]3 years ago

7 0

Answer:

Hello,

|FD|=15

Step-by-step explanation:

Since the triangles are similar, the bissects are also.

k*35=21 ==> k=21/35

k*25=|FD|

|FD|=(21/35)*25=15

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Please answer fast!!!

blsea [12.9K]

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3 years ago

At the park there a pool shaped like a circle. A - shaped path goes around the pool. Its inner diameter is 18 yd and its outer d

Hoochie [10]

Answer:

46 gallons

Explanation:

First, we need to calculate the area of the path. This area can be calculated as the difference between the area of the outer circle and the area of the inner circle. The area of a circle is equal to

$A=\pi r^2$

Where r is the radius. For the outer circle, the diameter is 28 yd, so the radius is equal to

radius = diameter/2

radius = 28 yd/2

radius = 14 yd

Then, the area of the outer circle is

$\begin{gathered} A=(3.14)(14\text{ yd\rparen}^2 \\ \text{ A = \lparen3.14\rparen\lparen196 yd}^2) \\ A=615.44\text{ yd}^2 \end{gathered}$

In the same way, the radius of the inner circle is

radius = diameter/2

radius = 18 yd/2

radius = 9 yd

Then, the area is

$\begin{gathered} A=(3.14)(9\text{ yd\rparen}^2 \\ A=(3.14)(81\text{ yd}^2) \\ A=254.34\text{ yd}^2 \end{gathered}$

So, the area of the path is

Area path = 615.44 yd² - 254.34 yd²

Area path = 361.1 yd²

Now, we know that one gallon can cover 8 yd², so we can calculate the number of gallons as

$361.1\text{ yd}^2\times\frac{1\text{ gallon}}{8\text{ yd}^2}=45.14\text{ gallons}$

Therefore, the number of gallons is 46 because we need to round the result to a whole number.

8 0

2 years ago

The expression 3xy-(2x+4xy) is equivalent to

Goryan [66]

There are no answer options so I will just simplify the expression:
3xy-(2x+4xy)
3xy-2x-4xy
-2x-xy

3 0

3 years ago

Can someone please help me solve for x? i already have y

Scrat [10]

Step-by-step explanation:

$\frac{3}{9} = \frac{5}{y} = \frac{x}{12} \\ \frac{3}{9} = \frac{5}{y} \\ 3y = 45 \\ y = 15 \\ \\ \frac{3}{9} = \frac{x}{12} \\ 9x = 36 \\ x = 4$

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3 years ago

Let f(x)=x^2+3 and g(x)= x+2/x . Find(fog)(2).

Bingel [31]

$\bf \begin{cases} f(x)=&x^2+3\\\\ g(x)=&\cfrac{x+2}{x}\\\\ (f\circ g)(x)=&f(~~g(x)~~) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ g(2)=\cfrac{(2)+2}{(2)}\implies g(2)=\cfrac{4}{2}\implies g(2)=\boxed{2} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{x=2}{f(~~g(2)~~)}=\left( \boxed{2} \right)^2+3\implies f(~~g(2)~~)=4+3\implies \stackrel{(f\circ g)(2)}{f(~~g(2)~~)}=7$

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3 years ago

Find all the missing measurement​

Find all the missing measurement