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3 years ago

13

it was debbies job to make the popcorn at the school fair she poped corn for 8 hours debbie ended up with 2 160 bags of corn how

many bags did she pop in an hour

2 answers:

solniwko [45]3 years ago

8 0

2160/8= 270/hr
the answer is 270/hr

son4ous [18]3 years ago

7 0

She popped 270 bags an hour

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In triangle ABC, angle a and b are complementary, where the cos A= 0.5. What is the angle measure of B in degrees?

aleksley [76]

Angle B measures 30 degrees.

Step-by-step explanation:

Step 1:

If two angles are complementary, the sum of the two angles will equal 90°.

So if angles A and B are complementary, the sum of the angles A and B will equal 90°.

It is given that cos A = 0.5, we can determine the value of A by taking the cos inverse of the value 0.5.

Step 2:

If cos A = 0.5, A = $cos^{-1} (0.5) = 60^\circ.$ So angle A is 60°.

As A and B are complementary, angle A + angle B = 90°.

So 60° + angle B = 90°, angle B = 90° - 60° = 30°.

So angle B measures 30° while angle A measures 60°.

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Step-by-step explanation:

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3 years ago

A rectangle is inscribed in a right isosceles triangle, such that two of its vertices lie on the hypotenuse, and two other on th

Ronch [10]

Refer to the attachment for the diagram of the problem.

Let us call the two identical sides of the isosceles triangle with s. Since we know that the hypotenuse measures 45 inches, we can find s by using the Pythagorean Theorem:
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We can notice that the figure will have similar triangles with the smaller triangle having one length equal to 5x. We then compute for the equivalent hypotenuse of the smaller triangle (denoted as y).
$\frac{31.82}{5x} = \frac{45}{y}$
$y=7.07x$

We can then solve for the value of x by applying the Pythagorean Theorem in the smaller triangle.
$(7.07x)^{2} = (5x)^{2}+ (31.82-2x)^{2}$
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We ignore the negative value since there is no negative side. x is therefore 4.55 thus the dimensions of the rectangle would be 22.75 and 9.1. For the other case, the dimensions would simply be inverted since we would be dealing with a rectangle with its width longer than its length.

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(-5, -1, 10, -9)<br> on the number line.

lbvjy [14]

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trapecia [35]

Answer:

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Step-by-step explanation:

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