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3 years ago

Solve the questions below

Mathematics

1 answer:

Stells [14]3 years ago

7 0

Answer:

4. 50.19°

5. 25.19°

Step-by-step explanation:

4. Reference angle = x°

Opposite = 6 units

Adjacent = 5 units

Thus,

$tan(x) = \frac{6}{5}$

$tan(x) = 1.2$

$x = tan^{-1}(1.2)$

$x = 50.19$ (nearest hundredth)

5. Reference angle = x°

Opposite = 48 - 5.2 = 42.8 ft

Adjacent = 91 ft

Thus,

$tan(x) = \frac{42.8}{91}$

$tan(x) = 0.47032967$

$x = tan^{-1}(0.47032967)$

$x = 25.19$ (nearest hundredth)b

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If 4 tomatoes are needed to make 7 cups of salsa, exactly how many cups of salsa can be made with 18 tomatoes.

bezimeni [28]

Answer:

31.5 cups of salsa can be made

Step-by-step explanation:

4 x 4.5 =18

7 x4.5=31.5

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3 years ago

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The length of the base of a triangle is 6.6 cm and its height is 4.9 cm. If the area of the triangle is half of the product of i

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So you know that the area is (b*h)/2

A = (6,6*4,9)/2 = 32,34/2 = 16,17 cm^2

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3 years ago

Suppose the number of residents within five miles of each of your stores is asymmetrically distributed with a mean of 25 thousan

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Answer:

$P(\bar X\:>27.8\:thousand)=3.07\%$

Step-by-step explanation:

Since the number of residents within five miles of each of your stores is asymmetrically distributed, the distribution of the sample means will be approximately normal with a mean of 25 thousand.

The standard deviation of the sample means is:

$\sigma_X=\frac{\sigma}{\sqrt{n} }$

$\implies \sigma_X=\frac{10.6}{\sqrt{50} }=1.4991$

The z value is $z=\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n}} }$

We plug in the values to get:

$z=\frac{27.8-25}{1.4991}=\frac{2.8}{1.4991}=1.87$

The area to the right of 1.87 is $1-0.96926=0.03074$ .

The probability that the average number of residents within five miles of each store in a sample of 50 stores will be more than 27.8 thousand is 3.07%

See attachment.

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4 years ago

The Nolansky family has saved $360 as a down payment for a new computer. If x is the monthly payment for one year, the expressio

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Answer:

$504

Step-by-step explanation:

since there is 12 months in a year , the family would pay 12$ a year.

12x12= 144

then since they paid a down payment of $360

360+144=504

so they would have paid $504

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3 years ago

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A baby pool is shaped like a short, wide cylinder and holds 52 ft3 of water. A medium pool measures 4 times the height and width

otez555 [7]

The volume of a cylinder is the area of the base, times the height.
The area of the circular base is, of course, π times the square of its radius. 
So the volume of a cylinder, V, is 
V = π h r^2 
where h is the height and r is the radius. 

If we multiply the height by 3, the new height is 3h. 
If we multiply the width by 3, that multiplies the radius (which is half the width) by 3 also. 
So the new volume would be 
π (3h) (3r)^2 = π (3h) (9r^2) = 27π h r^2 
which is 27 times π h r^2, the volume of the smaller pool. But we know that volume is 37 cubic feet. 

So the volume of the larger pool is 
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This is an instance of a general rule: 
If we multiply ALL the linear dimensions of an object by a factor F, 
while keeping the shape the same (often termed "similar" in geometry), 
that multiplies the volume by F^3 (the cube of F). 

It also multiplies the surface area by F^2. 

These rules are very useful, especially when you hit these questions on an exam under time constraints. If you know them, you'll save time you can use to work other questions.

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3 years ago