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3 years ago

Find the value of x in the triangle shown below.

Mathematics

1 answer:

MrMuchimi3 years ago

5 0

Answer: 102 degrees

Step-by-step explanation:

This is an isosceles triangle because two of the sides are the same length which means that two angles are congruent as well.

180-(2(39))

=180-(78)

=102

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A new technology for the production of integrated circuits is being mastered. The technology will be rejected if the percentage

max2010maxim [7]

Answer:

5901

Step-by-step explanation:

The margin of error is the critical value times the standard error.

ME = CV × SE

For α = 0.05, the critical value is z = 1.96.

The standard error of a proportion is √(pq/n). Given p = 0.04, then q = 1−p = 0.96.

The margin of error is 0.5% or 0.005.

Plugging in:

0.005 = 1.96 √(0.04 × 0.96 / n)

n ≈ 5901

8 0

3 years ago

What pair of factors of -42 has a sum of 1?

Kaylis [27]

Answer:

-6 and 7

Step-by-step explanation:

-6 * 7 = -42 and -6 + 7 = 1, so they are factors and have a sum of 1.

6 0

3 years ago

Read 2 more answers

Each side of a square is (7 + 3x) units. Which is the perimeter of the square?

storchak [24]

The perimeter is 4(7+3x) which is
= to 12x+28

3 0

3 years ago

I need help with the area of this figure

Ahat [919]

Answer:

31.63

Step-by-step explanation:

19.63 plus 12

3 0

4 years ago

A cup manufacturing company makes small and large snow cone cups with the dimensions shown in the diagram. Which statement

hoa [83]

C) The volume of the large cone is 3 times the volume of the small cone.

Step-by-step explanation:

Step 1:

The volume of a cone is determined by multiplying $\frac{1}{3}$ with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.

The radius of the large cone is 1.5 inches and the height is 4 inches.

The volume of the larger cone $= \frac{\pi r^{2} h}{3} = \frac{(3.1415)(1.5^{2} )(4)}{3} = \frac{28.2735}{3} = 9.4245.$

So the volume of the larger cone is 9.4245 cubic inches.

Step 2:

Now, we determine the volume of the small cone.

The radius of the small cone is 1 inch and the height is 3 inches.

The volume of the small cone $= \frac{\pi r^{2} h}{3} = \frac{(3.1415)(1^{2} )(3)}{3} = \frac{9.4245}{3} = 3.1415.$

So the volume of the smaller cone is 3.1415 cubic inches.

Step 3:

Now we divide the values on the volume of the large cone by the volume of the small cone.

The volume of the large cone by the volume of the small cone $= \frac{9.4245}{3.1415} = 3.$

So the volume of the large cone is 3 times the volume of the small cone which is option C.

8 0

4 years ago