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3 years ago

Find the value of x. Round the length to the nearest tenth.

Mathematics

2 answers:

krek1111 [17]3 years ago

8 0

Answer:

Answer is option d)7.9

Step-by-step explanation:

$by \: trignometric \: rule \\ we \: know \: \cos(theta) = \frac{adjacent \: side}{hypotenuse} \\ here \: theta = 44 \: degrees \: \: \\ hypotenuse = 11 \: ft \: and \: \: \: adjacent \: = x \\ on \: substituting \: the \: values \: in \: formula \\ \cos(44) = \frac{x}{11} \\ x = 11 \times \cos(44) \\ x = 11 \times 0.7193 \\ x = 7.91 \\ then \: adjacent \: value \: (x) = 7.9 \: ft \\$

For the value of cos(44) you may use your calculator or log book.

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

larisa [96]3 years ago

3 0

Answer:

x = 7.9

Step-by-step explanation:

Given:

Angle - 44

Hypotenuse - 11 ft

adjacent side - x

having adjacent and hypotenuse use Cosine to solve the problem from

S-oh C-ah T-oa

cos (angle) = adjacent / hypotenuse

**Make sure your calculator is in degree mode**

cos 44 = x/11

if you cross multiply, you get

11 cos 44 = x

or to solve for x you would multiply both sides by 11 and get

11 cos 44 = x

x = 7.9

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just olya [345]

Answer:

${( \sqrt{ {x}^{ - 3} }) }^{5} = ({( {x}^{ - 3}) }^{ \frac{1}{2} } ) ^{5} \\ \\ = {x}^{ - 3 \times \frac{1}{2} \times 5} = {x}^{ - \frac{15}{2} } = \frac{1}{ {x}^{ \frac{15}{2} } }$

Or ;

${( \sqrt{ {x}^{ - 3} } )}^{5} = {( \sqrt{ \frac{1}{ {x}^{3} }} })^{5} = ( { \frac{ \sqrt{1} }{ \sqrt{ {x}^{3} } } })^{5} \\ \\ = ( { \frac{1}{ \sqrt{x} \sqrt{ {x}^{2} } } })^{5} = ({ \frac{1}{ x\sqrt{x} }})^{5} \\ \\ = ( \frac{ {(1)}^{5} }{ {x}^{5} ( \sqrt{x} )^{5} } ) = \frac{1}{ {x}^{5} \times {x}^{ \frac{1}{2} \times 5 } } \\ \\ = \frac{1}{ {x}^{5} \times {x}^{ \frac{5}{2} } } = \frac{1}{ {x}^{5} \sqrt{ {x}^{5} } } \\ \\ = \frac{1}{ {x}^{5} \sqrt{ {x}^{4} {x}^{1} } } = \frac{1}{ {x}^{5} \sqrt{x} \sqrt{( { {x}^{2} })^{2} } } \\ \\ = \frac{1}{ {x}^{5} {x}^{2} \sqrt{x} } = \frac{1}{ {x}^{7} \sqrt{x} } = \frac{ \sqrt{x} }{ {x}^{8} }$

3 0

2 years ago

Suppose that 43% of a town's population have blue eyes, 46% have blonde hair, and 24% have both blue eyes and blonde hair. What

Varvara68 [4.7K]

We need to find the probability of the event:

having blue eyes or blond hair

This event is the union of the events:

A: having blue eyes.

B: having blond hair.

So, we need to find the probability P(A ∪ B). In order to do so, we can use the following formula:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

We know that the probability of the intersection of A and B (having both) is

P(A ∩ B) = 24%

Also:

P(A) = 43%

P(B) = 46%

Then, using those values into the above formula, we find:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

P(A ∪ B) = 43% + 46% - 24%

P(A ∪ B) = (43 + 46 - 24)%

P(A ∪ B) = 65%

3 0

1 year ago

An HMO pamphlet contains the following recommended weight for women: "Give yourself 100 pounds for the first 5 feet plus 5 pound

fenix001 [56]

Answer: 5 feet and 7 inches

Step-by-step explanation:

"Give yourself 100 pounds for the first 5 feet plus 5 pounds for every inch over 5 feet tall"

100 pounds for 5 feet + 5 pounds/inch [over 5 feet]

We can separate 135 pounds into two parts: the first 100 pounds and the other 35 pounds: 135 = 100 + 35

100 = 5 feet

35 pounds/5 pounds/inch = 7 inches

So, the height is 5 feet and 7 inches

7 0

3 years ago

A water tank is in the shape of a right circular Austin simulato water tank is in the shape of a right circular Cylinder with a

Burka [1]

⓵ To calculate the volume of a right circular cylinder, the formula is π times the radius of the circular base² time the height of the cylinder.

⓶ Now that we know that the equation to calculate the volume of a right circular cylinder is :

V = π x (r²) x h

You need to find the numbers to replace the volume (V) and the height (h) in the formula.

We already know that the volume is 320 square feet and that the height is 20 feet.

So we are left with a formula looking like this :

320 = π x (r²) x 20

⓷ Now we need to find the radius of the circular base! To do so, you need to solve this equation and isolate the “r”. Start by simplifying the right side :

320 = π x (r²) x 20
÷20 ÷20

↓

16 = π x r²
÷π ÷π

↓

5,09 ⋍ r²
√ √

↓

2,26 feet ⋍ r

⓸ Now that we knoe the value of the radius of the circular base, all there’s left to do is multiply this number by two in order to find the diameter of the water tank :

2,26 x 2 = d

↓

4,51 feet ⋍ d

So your final answer is : the diameter of the water tank is about 4,51 feet.

** Since I devided by “π”, all the answers I wrote from that point are rounded to the nearest hundredths just to make things easier to visualize, but I kept all of the decimals when doing the calculations. So it is possible that your answer might differ slightly from mine if you use the rounded numbers to calculate everything. Just keep that in mind!

I hope this helped, if there’s anything just let me know! ☻

4 0

4 years ago

How do you decide where to put a point when you are graphing?

elena55 [62]

Step-by-step explanation:

When deciding where to put an ordered pair on a graph its important to understand how ordered pairs work.

An ordered pair is split up into to pieces

(x,y) or number example (3,5)

When graphing the x coordinate will fall on your horizontal line or the line that looks like the horizon.

When graphing the y coordinate it will fall on your vertical line or the line that goes right up into the sky like a rocket.

To graph (3,5)

Go to the right 3 and up 5

Sometimes helps to use both fingers to keep your spot. Slide both fingers until they collide and that's where you would plot your point!

Hope this helps if you have an questions just comment and ill try to explain further.

4 0

3 years ago