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3 years ago

NEED DONE NOW!!!!!!

Mathematics

2 answers:

dem82 [27]3 years ago

4 0

You need to find the circumcenter of the triangle.

jek_recluse [69]3 years ago

4 0

Sample response: For the tower to be the same distance from each of the centers, the company must find the point that is equidistant from the vertices of the triangle. This is the circumcenter of the triangle and can be found by constructing the point of concurrency of the perpendicular bisectors of the triangle.

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(06.04 MC)

Andru [333]

$\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}$

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$\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}$

Before performing any calculation it's good to recall a few properties of integrals:

$\small\longrightarrow \sf{\int_{a}^b(nf(x) + m)dx = n \int^b _{a}f(x)dx + \int_{a}^bmdx}$

$\small\sf{\longrightarrow If \: a \angle c \angle b \Longrightarrow \int^{b} _a f(x)dx= \int^c _a f(x)dx+ \int^{b} _c f(x)dx }$

So we apply the first property in the first expression given by the question:

$\small \sf{\longrightarrow\int ^3_{-2} [2f(x) +2]dx= 2 \int ^3 _{-2} f(x) dx+ \int f^3 _{2} 2dx=18}$

And we solve the second integral:

$\small\sf{\longrightarrow2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} f(x)dx = 2 \int ^3_{-2} f(x)dx + 2 \cdot(3 - ( - 2)) }$

$\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} 2dx = 2 \int ^3_{-2} f(x)dx + 2 \cdot5 = 2 \int^3_{-2} f(x)dx10 = }$

Then we take the last equation and we subtract 10 from both sides:

$\sf{{\longrightarrow 2 \int ^3_{-2} f(x)dx} + 10 - 10 = 18 - 10}$

$\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx = 8}$

And we divide both sides by 2:

$\small\longrightarrow \sf{\dfrac{2 { \int}^{3} _{2} }{2} = \dfrac{8}{2} }$

$\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx=4}$

Then we apply the second property to this integral:

$\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} f(x)dx = 4}$

Then we use the other equality in the question and we get:

$\small\sf{\longrightarrow 2 \int ^3_{-2} f(x)dx = 2 \int ^3_{-2} f(x)dx = 8 + 2 \int ^3_{-2} f(x)dx = 4}$

$\small\longrightarrow \sf{2 \int ^3_{-2} f(x)dx =4}$

We substract 8 from both sides:

$\small\longrightarrow \sf{2 \int ^3_{-2} f(x)dx -8=4}$

• $\small\longrightarrow \sf{2 \int ^3_{-2} f(x)dx =-4}$

7 0

1 year ago

Find the length of arc JM

hoa [83]

Answer:

JM ≈ 12.9 miles

Step-by-step explanation:

The length of the arc is calculated as

arc = circumference × fraction of circle

= πd × $\frac{90}{360}$

JM = π × 16.4 × $\frac{1}{4}$

= $\frac{16.4\pi }{4}$ ≈ 12.9

4 0

3 years ago

Gcf of 6x^3, 8x^5, 10x^7

Art [367]

Answer: 2x^3

Step-by-step explanation: Find the prime factors of each term in order to find the GCF (Greatest Common Denominator).

Hope this helps you out! ☺

5 0

2 years ago

mrs. robinson bought a novel at bookstore on sale for 20% off its regular price of $ 29.99.mr. chang bougth the same novel at a

agasfer [191]

29.99-20%= 23.99
25.00-10%= 22.50 so, Mr.chang got the better deal ( but not by much.)

4 0

3 years ago

Read 2 more answers

How do I calculate 1/4-1/10 ?

Viktor [21]

Answer:

Hello there! I'm Ashlynn I'm always ready to help anyone in need of it!

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(1 / 4) - (1 / 10) = 0.15

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Calculate definition, to determine or ascertain by mathematical methods; compute: to calculate the velocity of light.

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“It makes a big difference in your life when you

stay positive.”

- Ellen DeGeneres

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 Have a great day!! 

  - Ashlynn

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8 0

2 years ago