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2 years ago

13

Determine the area and perimeter

1 answer:

frosja888 [35]2 years ago

4 0

Answer:

Area is the total surface covered by the shape and perimeter is the total length of the shape.

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Which expression is equivalent to 2(x + 7) - 2(9x - 0.4)?

Black_prince [1.1K]

Answer:

-16x+14.8

Step-by-step explanation:

2(x+7)-2(9x-0.4)

2x+14-18x+0.8

-2x+14-18x+0.8

14-16x+0.8

14+0.8-16x

14.8+-16x

8 0

2 years ago

Let f(x) = x + 8 and g(x) = x2 - 6x - 7. Find f(g(2)).

Alex

We are given with two functions: f(x) = x + 8 and g(x) = x2 - 6x - 7. In this problem, the value of f(g(2)) is asked. We first substitute g(x) to f(x) resulting to f(x2 - 6x - 7) = x2 - 6x - 7 + 8 = x2 - 6x + 1. If x is equal to 2, then <span>f(g(2)) = 2^</span>2 - 6*2 + 1 equal to -7.

6 0

2 years ago

Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.

dmitriy555 [2]

see the attached figure to better understand the problem

we have that

$cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units$

Step 1

<u>Find the value of AC</u>

we know that

in the right triangle ABC

$cos (A)=(AC/AB)\\AC=AB*cos(A)$

substitute the values in the formula

$AC=12*(1/5)\\ AC=2.4\ units$

Step 2

<u>Find the value of BC</u>

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

$AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}$

substitute the values

$BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units$

Step 3

<u>Find the value of BD</u>

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

$BD^{2} =DC^{2}+BC^{2}$

substitute the values

$BD^{2} =2^{2}+11.76^{2}$

$BD=11.93\ units$

therefore

<u>the answer is</u>

the length of BD is 11.93 units

8 0

3 years ago

Read 2 more answers

Solve: 3/5y + 3 = 11 + 1/5y

ale4655 [162]

Answer:

Y=20

Step-by-step explanation:

y equals 20 because you simplify both sides of the equation then you have an isolated variable

7 0

2 years ago

Read 2 more answers

The population of medfield is 7000 Capitol City's population is 8/25 of Medfields what is capitol city's population

Dmitry_Shevchenko [17]

8/25 of medfield....." of " means multiply

8/25(7000) = 56,000/25 = 2240 <== capital city's population

5 0

3 years ago