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4 years ago

If arc SQ = 92° and arc QR = 86°, what is the measure of ∠RPS?

Mathematics

2 answers:

svlad2 [7]4 years ago

5 0

Answer: 45

Step-by-step explanation: cause it’s the answer

Serga [27]4 years ago

3 0

I think it is (RS-QS)/2

RS=360-(92+86)=360-178=182

<SPQ =(182-92)/2=90/2=45 grades

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What is the simplified value of the exponential expression 27}? оооо 3 9 1/3 1/9

iVinArrow [24]

Note: Your exponential expression seems a little unclear. Because 27 is not an exponential expression.

But, I am assuming that your exponential expression is:

$\:27^{\frac{1}{3}}$

The reason is that my solution would still clear your concept about this topic, no matter what the question is.

Answer:

The simplified value of the exponential expression is:

$27^{\frac{1}{3}}=3$

Step-by-step explanation:

Assuming the exponential expression

$\:27^{\frac{1}{3}}$

$\mathrm{Factor\:the\:number:\:}\:27=3^3$

$=\left(3^3\right)^{\frac{1}{3}}$

$\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0$

$\left(3^3\right)^{\frac{1}{3}}=3^{3\cdot \frac{1}{3}}$

$=3^{3\cdot \frac{1}{3}}$

$=3^1$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^1=a$

$=3$

Therefore, the simplified value of the exponential expression is:

$27^{\frac{1}{3}}=3$

4 0

3 years ago

The number one is an example of an element in the set of natural numbers true or false

GrogVix [38]

This is a true statement.

8 0

3 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449 gram setting. It is

stealth61 [152]

Answer:

We accetp H₀

Step-by-step explanation:

Information:

Normal distribution

Population mean = μ₀ = 449

Population standard deviation σ unknown

Sample size n = 23 n < 30 we use t-student test

so n = 23 degree of fredom df = n - 1 df = 23- 1 df = 22

Sample mean μ = 448

Sample standard deviation s = 20

Significance level α = 0,05

1.-Hypothesis Test

Null hypothesis H₀ μ₀ = 449

Alternative hypothesis Hₐ μ₀ ≠ 449

Problem statement ask for determine decision rule for rejecting the null hypothesis. For rejecting the null hypothesis we have to get an statistic parameter wich implies that μ is bigger or smaller than μ₀

2.-Significance level α = 0,05 ; as we have a two tail test

α/2 = 0,025

Then from t - student table for df = 22 and 0,025 (two tail-test)

t(c) = ± 2.074

3.- Compute t(s)

t(s) = ( μ - μ₀ ) / s /√n

plugging in values

t(s) = (448 - 449) / 20 /√23 ⇒ t(s) = - 1*√23 /20

t(s) = - 0.2398

4.-Compare t(c) and t(s)

t(s) < t(c) - 0.2398 < - 2.074

Therefore t(s) in inside acceptance region. We accept H₀

7 0

4 years ago

What is the missing length???

Neporo4naja [7]

28 + 53 = 81.

180 - 81 = 99.

Your missing length is 99 degrees.

( Just remember that all triangles add up to 180 degrees )

If you need more help just message me

6 0

3 years ago

Hi, I am new to this website :) I'm currently taking an online trig class on De Moivre's theorem and I don't understand it at al

Vladimir [108]

De Moivre's theorem uses this general formula z = r(cos α + i sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.

For 1) [3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes

[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]

it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/√2 i
and that is the answer.

For 2) [2(cos(40))+isin(40)]^6, we apply the same steps in 1)

[2^6(cos(40*6))+isin(40*6)],

[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)

And the answer is -32 -32 √3 i

Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i

7 0

3 years ago