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2 years ago

What value of x will make the angle between the pottery and the arrowhead measure 57

Mathematics

1 answer:

Angelina_Jolie [31]2 years ago

3 0

Answer:

x = 9

Step-by-step explanation:

Take the angle of LOJ (3x) and JOK (2x+12).

LOJ + JOK = LOK.

LOK = 57.

So, 3x + 2x + 12 = 57

3x + 2x = 5x

5x + 12 = 57

57 - 12 = 45

5x = 45

x= 9

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A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi

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The area of the cross section of the column is $18 \pi \ m^2$

Explanation:

Given that a building engineer analyzes a concrete column with a circular cross section.

Also, given that the circumference of the column is $18 \pi$ meters.

We need to determine the area of the cross section of the column.

The area of the cross section of the column can be determined using the formula,

$Area= \pi r^2$

First, we shall determine the value of the radius r.

Since, given that circumference is $18 \pi$ meters.

We have,

$2 \pi r=18 \pi$

$r=9$

Thus, the radius is $r=9$

Now, substituting the value $r=9$ in the formula $Area= \pi r^2$ , we get,

$Area = \pi (9)^2$

$Area = 81 \pi$

Thus, the area of the cross section of the column is $18 \pi \ m^2$

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2 years ago

Emma earns a $39,000 salary in the first year of her career. Each year, she gets a 5% raise. How much does Emma earn in total in

jeyben [28]

Answer: 21

Step-by-step explanation: like basically

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2 years ago

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Geoffrey is evaluating the expression StartFraction (negative 3) cubed (2 Superscript 6 Baseline) Over (Negative 3) Superscript

makkiz [27]

The mathematical expression does not seem clear but I have made an attempt to make sense of what is implied.

Answer:

a = 4, b = 2, c = 16, d = 9

Step-by-step explanation:

$\dfrac{(-3)^3(2^6)}{(-3)^5(2^2)} = \dfrac{(2)^a}{(-3)^b} = \dfrac{c}{d}$

Solving the first part of the question by indices,

$\dfrac{(-3)^3(2^6)}{(-3)^5(2^2)} = (-3)^{3-5}(2)^{6-2} = (-3)^{-2}(2)^{4} = \dfrac{(2)^4}{(-3)^2}$

Comparing the rightmost term with the second term in the question,

a = 4, b = 2

Solving on,

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Comparing with the final term in the question,

c = 16 and d = 9

Therefore,

a = 4, b = 2, c = 16, d = 9

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2 years ago

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Is y=17 a linear function ?

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2 years ago

The function p(x) = _2(x _ 9)2 + 100 is used to determine the profit on T-shirts sold for x dollars. What would the profit from

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Answer:

Option (b) is correct.

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Step-by-step explanation:

Given : The function $p(x)=-2(x-9)^2+100$ is used to determine the profit on T-shirts sold for x dollars.

We have to find the profit from sales if the price of the T-shirts were $15 a pieces.

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2 years ago

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