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3 years ago

Find x. Give reasons to justify your solution

Mathematics

1 answer:

katrin [286]3 years ago

7 0

Answer: x = 28

===================================================

Explanation:

The angles COE, EOF, and FOB combine to form angle COB

angle COB = (angleCOE)+(angleEOF)+(angleFOB)

angle COB = (3x)+(x)+(x+12)

angle COB = 5x+12

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Angles AOD and COB are vertical angles, so they are congruent

angle COB = angle AOD

5x+12 = 152

5x = 152-12

5x = 140

x = 140/5

x = 28

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What decimal is equal to 31/100

BlackZzzverrR [31]

Answer:

0.31

Step-by-step explanation:

So if you divide 31 by 100 all you have to do is move the decimal from right to left the number of zeros you have. Here we have 2 zeros so we move from right to left twice.

0.31

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3 years ago

the half-life of strontium-90 is approximately 29 years. how much of a 500 g sample of strontium-90 will remain after 58 years

Yuliya22 [10]

Answer: 125 g

<u>Step-by-step explanation:</u>

$A = P_o\cdot e^{kt}\\\\\text{First, use the given information to find k:}\\\\\bullet A=\dfrac{1}{2}P_o\\\\\bullet k = unknown\\\\\bullet t=29\text{ years}\\\\\dfrac{1}{2}P_o=P_o\cdot e^{k(29)}\\\\\\\dfrac{1}{2}=e^{k(29)}\qquad divided\ both\ sides\ by\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=ln\bigg(e^{k(29)}\bigg)\qquad applied\ ln\ to\ both\ sides\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=29k\qquad simplified-ln\ and\ e\ cancel\ out\\\\\\\dfrac{ln\bigg(\dfrac{1}{2}\bigg)}{29}=k\qquad divided\ 29\ from\ both\ sides\\\\\\-0.0239=k$

$\text{Now, use the following in the equation to solve for A:}\\\\\bullet A=unknown\\\bullet P_o=500\\\bullet k=-0.0239\\\bullet t=58\text{ years}\\\\A=500\cdot e^{(-0.0239)(58)}\\\\.\quad=500\cdot e^{-1.386}\\\\.\quad=125$

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3 years ago

3.4-2.8d+2.8d-1.3 Combine like terms

vovikov84 [41]

Answer: 2.1

Step-by-step explanation:

3.4 - 2.8d + 2.8d - 1.3

add the variables together and the coefficients or add the d's with d's and 3.4 with 1.3

= 3.4 - 1.3 = 2.1

=2.8d - 2.8d = 0

The final answer would be 2.1

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3 years ago

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vladimir2022 [97]

Answer:

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Step-by-step explanation:

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3 years ago

Sharon presently earns $262 per wk. She is offered another job which pays $16,200 per year. Which has the better pay?

ANEK [815]

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3 years ago