Determine whether each expression can be used to find the length of side RS.

Determine Whether Each Expression Can Be Used To Find The Length Of Side RS.

Answers

Answer 1

ANSWER:

\(\begin{gathered} \sin (R)\rightarrow\text{ Yes} \\ \tan (T)\rightarrow\text{ No} \\ \cos (R)\rightarrow\text{ No} \\ tan(R)\rightarrow\text{ No} \end{gathered}\)

STEP-BY-STEP EXPLANATION:

Since we know a side and the hypotenuse, we can rule out tangent and cotangent, since these are related to the two legs.

Therefore, if we want to know that side we must apply sine or cosine, just like this:

\(\begin{gathered} \sin \theta=\frac{\text{opposite }}{\text{ hypotenuse}} \\ \text{therefore, in this case:} \\ \sin R=\frac{21}{35} \\ \cos \theta=\frac{\text{adjacent}}{\text{ hypotenuse}} \\ \cos R=\frac{\text{unknown}}{35} \end{gathered}\)

Therefore, the way to calculate the value of the missing side is by means of the sine of the angle R


Related Questions

Find the volume of the cylinder to the nearest cubic foot. Use a calculator. A. 236 ft3 B. 942 ft3 C. 251 ft3 D. 75 ft3

Find the volume of the cylinder to the nearest cubic foot. Use a calculator. A. 236 ft3 B. 942 ft3 C.

Answers

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=3 \end{cases}\implies V=\pi (5)^2(3)\implies V\approx 236~ft^3\)

Answer:

236 ft^3

Step-by-step explanation:

Base radius = 5 ft

Height = 3 ft

Volume =   πr^2h

              =  π × 5^2 × 3

              =  75π

               =  235.61944901923 feet^3

Nearest Cubic Foot = 236 ft^3

Nearest Cubic Foot:

Hence Answer is:

236 ft^3

Hope this helps!

Graph the polynomial function.
p(x)=x²-2

Answers

Answer:

I'ts a parabola with vertex in \((0,-2)\) and crossing the x-axis in \((\mp\sqrt2; 0)\)

Depending on how accurate you want your graph to be you might want to put values in there to get more points and then then draw it. Result should be something like the one in picture.

Graph the polynomial function.p(x)=x-2

describe the lines of symmetry in the word kid if there is one

Answers

The line of symmetry divides a shape into 2 equal halves. The line of symmetry can be describe as an imaginary line that passes through the center of a figure and create a mirror image of the figure. An example of a line of symmetry is a line dividing a shape into two equal halves .

The imaginary line is the green line and it divide the square into 2 equal halves . Therefore, the word kid has no line of symmetrry

describe the lines of symmetry in the word kid if there is one

The members of the senior class are planning a dance. They use the equation r=p n to determine the total receipts. What is n expressed in terms of r and p ?
1) n=r+p
2) n=r-p
3) n={p}/{r}
4) n={r}/{p}
1)
2)
3)
4)

The members of the senior class are planning a dance. They use the equation r=p n to determine the total

Answers

The n expressed in terms of r and p is n=r/p.

How to solve the word problems?

Systems of linear equations must be used to solve some word problems. Here are some hints to help you determine when you need to create a system of linear equations in a word problem:

There are two separate numbers at play, such as the total number of adults and children, the total number of large boxes and little boxes, etc.Each quantity has a value attached to it, such as the cost of an adult or kid ticket, the number of products in a large box as compared to a small box, etc.

You must frequently create two distinct linear equations in two variables in order to solve these issues.

So, it is expressed as:

r=pn

n=r/p

Hence, The n expressed in terms of r and p is n=r/p.

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Si en un examen 27 preguntas son correctas el 90%, cuántas preguntas son en total?​

Answers

Respuesta:

30

Explicación paso a paso:

Número total de preguntas = 100%

Número de preguntas correctas = 27

Porcentaje de aciertos = 90%

Por eso,

Si 90% = 27

Luego ; 100% = x

Multiplicar en cruz:

0,9 veces = 27

x = 27 / 0,9

x = 30

Número de preguntas = 30

What is the value of the expression “two less than six times the difference of a number and five” when n = 9?
22
16
32
31

Answers

Answer:

the answer is 22

Answer: 22

Step-by-step explanation:

This is the answer because if you work backwards then number minus five is actually 9-5, so you're left with 4. And then you need to do 6 times he difference of 9-5, which is 4. So, 6 X 4 would equal 24. And then you need to do 2 less than that answer. So 24-2 would equal 22.  

Find the tangent of the smaller acute angle in a right triangle with side lengths 5, 12, and 13.

Write your answer as a fraction.

The tangent of the smaller acute angle is ____?_______

Answers

The tangent of the smaller acute angle in a right triangle is tanФ = 0.42.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A right triangle with side lengths 5, 12, and 13.

tanФ = 5/12.

tanФ = 0.42.

Ф = tan⁻¹(0.42).

Ф = 22.8°.

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PLSSS HELP NOW I WILL GIVE BRAINLIEST WHO EVER ANSWERS THIS QUESTION

PLSSS HELP NOW I WILL GIVE BRAINLIEST WHO EVER ANSWERS THIS QUESTION

Answers

I dont have my calculator with me but first find the square root of 6 and it will give u a decimal number and then just plot it

Answer:

√6: 2.44

Step-by-step explanation:

first one since it's closer to the square root of 6

The parent function is f(x) = 2x+4+2 and the new function is g(x) = 2x−1+6.How does the graph change from f(x) to g(x)?Select each correct answer.Question 18 options:The graph is shifted 5 units right.The graph is shifted 4 unit up.The graph is shifted 5 units left.The graph is shifted 4 unit down

The parent function is f(x) = 2x+4+2 and the new function is g(x) = 2x1+6.How does the graph change from

Answers

We have the function f

\(f(x)=2^{x+4}+2\)

And the function g

\(g(x)=2^{x-1}+6\)

We can see two major differences, one is in the exponent and one in the constant term, but before talking about them, let's see how operations change the graph, consider a function h(x):

• h(x) + c, shift the graph of h(x) ,up ,"c" units

,

• h(x) - c, shift the graph of h(x) ,down, "c" units

,

• h(x + a), shift the graph of h(x) ,left ,"a" units

,

• h(x - a), shift the graph of h(x) ,right, "a" units

Then, we want to find out the relations between f and g.

Looking at the exponent we can see that the exponent of g is the exponent of f but subtracted 5, see that

\((x+4)-5=x-1\)

And on the constant term, we have a difference of 4 positive, then we must add 4 to the function f to get g

Putting that all together, look that

\(\begin{gathered} f(x-5)+4=g(x)_{} \\ \\ 2^{(x-5)+4}+2+4=2^{x-1}+6 \end{gathered}\)

Then, the function g is just f shifted 5 units to the right, and 4 units up

-3p/4 = 6

ANSWER PLS

Answers

Answer:

\(p=-8\)

Step-by-step explanation:

\(\frac{-3p}{4}=6\\\mathrm{Multiply\:both\:sides\:by\:}4\\\frac{4\left(-3p\right)}{4}=6\cdot \:4\\-3p=24\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3p}{-3}=\frac{24}{-3}\\p=-8\\\)

Answer:

p=8

Step-by-step explanation:

-3p/4=6

times 4 on both sides to get rid of it on the left.

therefore left with -3p = 24

divide both sides by 3

there fore 24/3

equals 8

Derive Integral equation for dy/dv

Derive Integral equation for dy/dv

Answers

By the fundamental theorem of calculus,

\(\displaystyle y = \int_0^v \sqrt{3+4t^2} \, dt \implies \boxed{\frac{dy}{dv} = \sqrt{3+4v^2}}\)

In general,

\(\displaystyle \frac{d}{dx} \int_0^{g(x)} f(u) \, du = f(g(x)) \frac{dg}{dx}\)

factor -4x+24-4x^2completely

Answers

Answer: 4(−x+2)(x+3)

Step-by-step explanation:

−4x+24−4x^2

−4x^2−4x+24

4(−x+2)(x+3)

Tanya performs two transformations on ABC to form A"B" and C" as shown on the coordinate grid below.

Answers

the transformation ABC is not similar to A”B”C”. hence the statement is false.

How do we know?

We say the statement is false because the ratios of the grid squares are not similar.

We notice that the first triangle is up to over 3 and the other triangle is up 4 over 4 so in order for them to be similar the first triangle would have to be up 3 over 3.

A transformation is described as  a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

#complete question:

Please help this is due today and I’m so stressed!I will mark Branliest!!!

Tanya performs two transformations on ABC to form A"B"C" as shown on the coordinate grid below.

True or False:ABC is similar to A”B”C”?

Tanya performs two transformations on ABC to form A"B" and C" as shown on the coordinate grid below.

A(n) ________ hypothesis is a statistical hypothesis that is tested for possible rejection under the assumption that it is true. g

Answers

Answer: A null hypothesis is a statistical hypothesis that is tested for possible rejection under the assumption that it is true.

Step-by-step explanation:

The null hypothesis\((H_0)\) and alternative hypothesis\((H_a)\) both are statements as per the researcher's claim that involves population parameter .

Null hypothesis has  ≤,≥ ,= signs

Alternative hypotheses has < , > , ≠ signs.

A null hypothesis is a statistical hypothesis that is tested for possible rejection under the assumption that it is true.

What is the equation in point slope form of the line that passes through the point (3, 1) and has a slope of –2?

Answers

Answer: y – 1 = -2 (x – 3)

Step-by-step explanation:

A point slope form of equation has a general form of:

y – y1 = m (x – x1)

From the given data, the variables are:

y1 = 1

m = -2

x1 = 3

y-1=-2(x-3) is the answer

Determine whether each random variable described below satisfies the conditions for a binomial setting, a geometric setting, or neither. Justify your answer in each case.

a) Draw a card from a standard deck of 52 playing cards, observe the card, return the card to the deck, and shuffle. Count the number of times you draw a card in this manner until you observe a jack.

b) Joey buys the same type of Virginia lottery ticket every week. X is the number of times in a year that he wins a prize.

Determine whether each random variable described below satisfies the conditions for a binomial setting,

Answers

a) In this case, each trial is independent, there are οnly twο οutcοmes , the prοbability οf success is cοnstant (4/52), and the randοm variable οf interest is the number οf trials until the first success.

b) In this case, each trial is independent, there are οnly twο οutcοmes, the prοbability οf success is cοnstant, the number οf trials is fixed, and the randοm variable οf interest is the number οf successes.

What is the prοbability?

Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.

a) This is an example οf a geοmetric setting because we are cοunting the number οf trials until we οbserve a success (in this case, drawing a jack). The cοnditiοns fοr a geοmetric setting are:

The trials are independent.There are οnly twο pοssible οutcοmes οn each trial: success οr failure.The prοbability οf success is the same οn each trial.The randοm variable οf interest is the number οf trials until the first success.

In this case, each trial (drawing a card) is independent, there are οnly twο οutcοmes (drawing a jack οr nοt drawing a jack), the prοbability οf success (drawing a jack) is cοnstant (4/52), and the randοm variable οf interest is the number οf trials until the first success (drawing a jack).

b) This is an example οf a binοmial setting because we are cοunting the number οf successes (winning a prize) οut οf a fixed number οf trials (buying a lοttery ticket οnce a week fοr a year). The cοnditiοns fοr a binοmial setting are:

The trials are independent.There are οnly twο pοssible οutcοmes οn each trial: success οr failure.The prοbability οf success is the same οn each trial.The number οf trials is fixed in advance.The randοm variable οf interest is the number οf successes in the fixed number οf trials.

In this case, each trial (buying a lοttery ticket) is independent, there are οnly twο οutcοmes (winning a prize οr nοt winning a prize), the prοbability οf success (winning a prize) is cοnstant (whatever the prοbability is fοr the specific lοttery ticket Jοey buys), the number οf trials is fixed (52 weeks in a year), and the randοm variable οf interest is the number οf successes (the number οf times Jοey wins a prize in a year).

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What is the next term of the geometric sequence? 1, 2, 4, 8, 16,

Answers

Answer: 32

Step-by-step explanation:

32 because 16 plus 16 is 32

Which of the following is not a valid probability?
A. 1.3
B. 0.4
C. 1
D. O

Answers

Answer:

B and A

Step-by-step explanation:

because probabilities are between 0 being not possible and 1 being possible

A. Is not a valid probabily because it is a number great than 1.

Solve F=9/5C+32 for C.
A.F−32/9
B.5/F−32
C.9/5(F−32)
D.5/9(F−32)

Answers

Answer:

C

Step-by-step explanation:

Please help me
Here it is

Please help meHere it is

Answers

So we first find the male population at Barlow school by multiplying 4/9 by 873 and get 388. Next, find the male population of Willow school by multiplying 630 by 1/3 and get 210 so Barlow school has more boys and by 178

What unit of measurement for a wasp’s leg?

Answers

Answer:

Probably by mm or cm

Step-by-step explanation:

————————————————————-

-

Answers

Answer:

0.5 OR 0.50

Step-by-step explanation:

6/12 = 1/2 = 0.5 OR 0.50

Hope that helps!

Answer:

0.50

Step-by-step explanation:

Help it’s due tomorrow I’ll mark you as the brainless but please help

Help its due tomorrow Ill mark you as the brainless but please help

Answers

Answer:

The slope of a line is

\( \frac{y2 - y1}{x2 - x1} \)

Get 2 points off each line

(x1, y1)

(x2, y2)

And sub them into the formula.

The y intercept is where the line cuts the y axis (the vertical line)

From what I can make out the y intercept for the first part in question 12 is (0,-2) and for the third part is (0,0) but I can't see the second one.

It might help if you took a clearer photograph I'm so sorry but I can't really see it.

PLEASE HELP
Simplify 1. 7a^10 - 112a^2 completely

Answers

Answer:

7a^2(a^4 + 4)(a^4 - 4)

Step-by-step explanation:

To simplify 7a^10 - 112a^2, we need to find the greatest common factor (GCF) of the two terms and factor it out.

The GCF of 7a^10 and 112a^2 is 7a^2.

So, we can factor out 7a^2 from both terms, which gives:

7a^2(a^8 - 16)

Now, we can further simplify the expression by noticing that a^8 - 16 is a difference of squares. We can write it as:

a^8 - 16 = (a^4)^2 - 4^2 = (a^4 + 4)(a^4 - 4)

Therefore, the fully simplified expression is:

7a^2(a^4 + 4)(a^4 - 4)

An airplane flies 104 miles in 1/2 hour. How far can it fly in 1 1/4 hours at the same rate of speed

Answers

Answer:

260 miles i prettty sure brainliest plzz

Step-by-step explanation:

PLS HELP WILL GIVE BRAINLIEST IF ANSWER IS RIGHT (NO LINKS)

Identify the three-dimensional figure that can be made from this net.

PLS HELP WILL GIVE BRAINLIEST IF ANSWER IS RIGHT (NO LINKS) Identify the three-dimensional figure that

Answers

Answer:

The answer is D. Cone

Step-by-step explanation:

need help asap. pls somebody help.

need help asap. pls somebody help.

Answers

Answer:

D

Step-by-step explanation:

why the panic ? you only need to compare the tiles with the actual terms in the equations and add them up.

-x²

-x -x

x x x x (clearly that means 4x)

-1 -1 -1

1 1

so, we see it is D.

There are 10 Superscript 9 bytes in a gigabyte. There are 10 Superscript 6 bytes in a megabyte. How many times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive?
3 times greater
10 times greater
1,000 times greater
3,000 times greater

Answers

A 1-gigabyte flash drive has 1000 times more storage space than a 1-megabyte flash disk. The right response is thus "1,000 times greater."

To solve this problem

We need to find the ratio between the two capacities.

Given that there are \(10^9\) bytes in a gigabyte and\(10^6\) bytes in a megabyte, we can calculate the ratio as follows:

Ratio = (1 GB) / (1 MB)

= \((10^9 bytes) / (10^6 bytes)\)

= \(10^(9 - 6)\)

=\(10^3\)

= 1000

Therefore, A 1-gigabyte flash drive has 1000 times more storage space than a 1-megabyte flash disk. The right response is thus "1,000 times greater."

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Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x)=-2cos^(2)x

Answers

Answer:

Increasing

0°≤x≤180°

Decreasing

180°≤x≤360°

Can I please get some help I’ve been stuck on this question for a while!

Can I please get some help Ive been stuck on this question for a while!

Answers

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

How many minutes of the ride are spent higher than 28 meters above the ground?

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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