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puteri [66]
3 years ago
14

Cory is building an enclosure with recycled cardboard for her collection of model cars. Her design is a shown below.

Mathematics
2 answers:
fomenos3 years ago
8 0

The 2 figures are similar so corresponding sides are in smae ratio

Note that similar sides CD and ML are in ratio 40:8 which is 5 : 1.

So EF = 5 * NH = 5*5 = 25 answer

Its choice B

UkoKoshka [18]3 years ago
5 0

Answer:

B.25

Explanation:

The figures are similar.  This means that corresponding sides have the same ratio.

This helps us set up a proportion.

We know that ML corresponds with DC, which gives us the ratio

8/40

EF will correspond with NH; this gives us the ratio

5/x

The proportion is then

8/40 = 5/x

Cross multiplying, we have

8(x) = 40(5)

8x = 200

Divide both sides by 8:

8x/8 = 200/8

x = 25

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Can someone help walk me through this? Any help would be greatly appreciated! ..... (a) Find an angle between 0 and 2π that is c
adelina 88 [10]

Answer:

a) 3π/2

b) 135°

Step-by-step explanation:

Coterminal angles are angles in standard position that end at the same place (their terminal sides).

Think of the angle 60° on the unit circle. If you wanted to find a coterminal angle to 60°, then you would just have to add 360° or some multiple of 360 (ie; 720°, 1080°, 1440°, etc. would all work too). Or you could go the opposite direction and subtract 360°(aka adding -360°) or some multiple of that. The only difference for radian measures is that you add or subtract a multiple of 2π. If you, again, think of the unit circle, then it'd be like rotating the angle around until you reach the same spot.

So for your problems, you're given two angles that are outside the domain of 0 to 360°(or 2π). Essentially you just need to add or subtract 360°(or 2π) until you're within the desired domain:

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For these two you only need to do each one once to give you the coterminal angles above.

7 0
3 years ago
Answer the Following problem about derivatives.
White raven [17]

The derivatives for the given functions are as follows:

a) -3.

b) -1.

c) 1.

d) 0.

<h3>What is the product rule for a derivative?</h3>

The product rule for a derivative is given as follows:

[f(x)g(x)]' = f'(x)g(x) + g'(x)f(x).

Hence, at x = 6, we have that:

[f(x)g(x)]'(6) = f'(6)g(6) + g'(6)f(6).

Replacing the values given in this problem, we have that the answer for item a is:

[f(x)g(x)]'(6) = f'(6)g(6) + g'(6)f(6) = 2(-1) - 1(1) = -2 - 1 = -3.

<h3>What is the quotient rule for a derivative?</h3>

The quotient rule for a derivative is given as follows:

\left(\frac{f(x)}{g(x)}\right)^{\prime} = \frac{f^{\prime}(x)g(x) - g^{\prime}(x)f(x)}{g(x)^2}

Hence, at x = 6, we have that:

\left(\frac{f(x)}{g(x)}\right)^{\prime}(6) = \frac{f^{\prime}(6)g(6) - g^{\prime}(6)f(6)}{g(6)^2}

Then the derivative in item b is:

[2(-1) - (-1)(1)]/[(-1)^2] = -1/1 = -1.

<h3>What is the derivative for the square root of a function?</h3>

Applying the chain rule, the derivative is given by:

(\sqrt{f(x)})^{\prime} = \frac{1}{2\sqrt{f(x)}}f^{\prime}(x)

Replacing at x = 6, the derivative for item c is given by:

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<h3>What is the derivative of a constant?</h3>

The derivative of a constant is of 0. In item d, the multiplication of f(6) by g'(6) results in a constant, hence the derivative is of 0.

More can be learned about derivative rules at brainly.com/question/25081524

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4 0
2 years ago
If ON = OL find mOML
saveliy_v [14]

Answer:

A. 26°

Step-by-step explanation:

If ON =OL, then the two triangles are are similar.

The base angles must be equal.

(9x-8)\degree=(7x+8)\degree

We group the similar terms to obtain:

9x-7x=8+8

2x=16

Divide through by 2 to get:

x=8

m\angle OML=90-(7x+8)

Substitute x=8

m\angle OML=90-(7(8)+8)

m\angle OML=90-(56+8)

m\angle OML=26\degree

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