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3 years ago

Solve each inequality and graph its solution

Mathematics

1 answer:

mariarad [96]3 years ago

7 0

Answer:

Step-by-step explanation:

1) 11v > -66

divide by 11

V > -6

all of them are done like this

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If TR = 11 ft, find the length of PS. Round to the nearest hundredth.PTR16°Sarc PS =ft

NeX [460]

Given:

TR = 11 Ft

∠RTS = 16°

Let's determine the length of Arc PS,

Step 1: Let's first determine the angle of Arc PS.

∠RTS = 16°

∠PTQ = 16° ; Vertical angle pair of ∠RTS

Since ∠QTR = ∠PTS under the rule of vertical angles, we can now determine the measure of ∠PTS or Arc PS.

We get,

$\angle RTS\text{ + }\angle PTQ\text{ + }\angle QTR\text{ + }\angle PTS=360$ $16\text{ + }16\text{ + }\angle PTS\text{ + }\angle PTS=360$ $32\text{ + }2\angle PTS=360^{}$ $\angle PTS=\frac{360^{}\text{ - 32}}{2}$ $\angle PTS=\frac{328}{2}$ $\angle PTS=164^{\circ}$

Step 2: Let's determine the perimeter of the circle.

$\text{ Perimeter = }2\pi r$ $\text{ = 2}\pi(11)$ $\text{ Perimeter = 22}\pi$

Step 3: Let's determine the length of Arc PS.

$\text{ Arc Length = (}\frac{\theta}{360})(\text{Perimeter of the Circle)}$ $\text{ = (}\frac{164}{360})(22)(3.14)$ $\text{ Arc Length = }31.469777\ldots\text{ }\approx\text{ 31.47 ft.}$

Therefore, the length of Arc PS is 31.47 ft.

3 0

1 year ago

Which equation in standard form has a graph that passes through the point (-4,-3) and has a slope of 3/8?

Sidana [21]

Answer:

y = 3/8x - 1.5

Step-by-step explanation:

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4 years ago

Use the intercepts to graph the equation.<br><br> 7x-5y=35

Zielflug [23.3K]

Answer:

Step-by-step explanation:

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3 years ago

if $5,000,000 isinvested at 4% interest compunded continuously, how much willl the investment be worth in 30 years

Katarina [22]

The answer is $16216987.55 (IMPORTANT: This is the answer assuming that the interest rate is annually. The quesiton says 'continuously' so I was a bit confused)

To solve this problem, you can use the compound interest formula.

Here it is once you plug in the numbers: A = 5,000,000 ( 1 + .04) ^30

Just solve the equation to find the solution.

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3 years ago

What is 5 and 2/3 equivalent to

tino4ka555 [31]

Answer:

17/3

Step-by-step explanation:

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3 years ago