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2 years ago

6

Unknown angle problems (with algebra)

1 answer:

lubasha [3.4K]2 years ago

7 0

Answer: x = 20 degree
3x = 3×20 which is 60 degree
And the other one is 100 degree
Add all the number 100+60+20 degree is 180 degree

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Hiba has 30 cupcakes. How many pieces will she have if she divides them into fourths?

Alex_Xolod [135]

Answer:

7.5

Step-by-step explanation:

fourths mean 1/4

We will have to multiply the initial value with the 1/4

30 * 1/4 = 7.5

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3 years ago

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A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the numb

Ugo [173]

To answer this item, we take the differential of the equation and equate to zero.

C(x) = 0.8x² - 256x + 25939

Differentiation,
dC(x) = 1.6x - 256
dC(x) = 1.6x - 256 = 0

The value of x from the derived equation above is 160.

Thus, the number of machine to be made in order to minimize the cost should be 160.

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3 years ago

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Peter plans to build a tree house in his back yard. He needs to know how many square feet of lumber he should buy for the floor.

11Alexandr11 [23.1K]

Answer:

20n

Step-by-step explanation:

Multiply square feet per person times the number of persons to find square feet.

The units analysis looks like this:

$\dfrac{\text{ft}^2}{\text{person}}\times \text{persons}=\text{ft}^2\\\\20\dfrac{\text{ft}^2}{\text{person}}\times n\,\text{persons}=20n\,\text{ft}^2$

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2 years ago

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The quadrilaterals ABCD and PQRS are similar. Find the length X of SP.

BaLLatris [955]

Answer:

$x = 3.6$

Step-by-step explanation:

Since Quadrilateral ABCD ~ PQRS, therefore:

$\frac{AB}{PQ} = \frac{BC}{QR} = \frac{CD}{RS} = \frac{DA}{SP}$

Let's find the value of x by using the ratio of two corresponding sides of both quadrilaterals. Let's use:

$\frac{CD}{RS} = \frac{DA}{SP}$

CD = 5

RS = 4.5

DA = 4

SP = x

$\frac{5}{4.5} = \frac{4}{x}$

Cross multiply

$5*x = 4.5*4$

$5x = 18$

Divide both sides by 5

$x = \frac{18}{5}$

$x = 3.6$

6 0

3 years ago

A machine that produces ball bearings has initially been set so that the true average diameter of the bearings it produces is .5

Elodia [21]

Answer:

7.3% percentage of the bearings produced will not be acceptable.

Step-by-step explanation:

Consider the provided information.

Average diameter of the bearings it produces is .500 inches. A bearing is acceptable if its diameter is within .004 inches of this target value.

Let X is the normal random variable which represents the diameter of bearing.

Thus, 0.500-0.004<X<0.500+0.004

0.496<X<0.504

The bearings have normally distributed diameters with mean value .499 inches and standard deviation .002 inches.

Use the Z score formula: $\frac{X-\mu}{\sigma}$

Therefore

$\frac{0.496-0.499}{0.002}\leq z\leq \frac{0.504-0.499}{0.002}$

$\frac{-0.003}{0.002}\leq z\leq \frac{0.005}{0.002}$

$-1.5\leq z\leq 2.5$

Now use the standard normal table and determine the probability of that a ball bearing will be acceptable.

$P(-1.5\leq z\leq 2.5)=0.9938-0.0668=0.9270$

We need to find the percentage of the bearings produced will not be acceptable.

So subtract it from 1 as shown.

1-0.9270=0.073

Hence, 7.3% percentage of the bearings produced will not be acceptable.

3 0

3 years ago