In the 30-60-90 triangle below, side s has a length of ___ and side q has a length of ___.

In The 30-60-90 Triangle Below, Side S Has A Length Of ___ And Side Q Has A Length Of ___.

Answers

Answer 1

Answer:

The answer is D.

Step-by-step explanation:

The side lengths for this special triangle is represented with x, x[tex]\sqrt{3}[/tex] , and 2x

if the side length that sees 90 degrees is 10 (2x and x = 5 in this case)

so s (the side length that sees 30 degrees) is = 5

and q (the side length that sees 60 degrees) = 5[tex]\sqrt{3}[/tex]


Related Questions

this distance-time graph represents a journey made by Jo

Answers

a) At 10 minutes the line is at y - 1, which means she reached 1 km in 10 minutes.

b) The last 30 minutes would be 30 minutes to 60 minutes.

at 30 minutes she was at 0km at 60 minutes she was at 4 km, so in 30 minutes she traveled 4 km.  30 minutes is a half hour, so multiply distance by 2: 4 x 2 = 8, she was traveling at 8 km per hour.

When draining her hot tub, the height of the water in Brittany’s hot tub decreases at a rate of 2 inches per minute. After 9 minutes there are 11 inches of water in the tub. Assume that the height is decreasing at a constant rate.

a. Write an equation for the height of water left in the tub (h) as a function of the number of the minutes (t) that have elapsed.

b. What values of the domain, t, make sense? Why?

c. What values of the range, h, make sense? Why?

Answers

Step-by-step explanation:

a.

Let's give the starting amount of water as s. Every minute, 2 inches of water are lost, meaning that given the starting amount, s, we subtract 2 inches from s every minute, so s - 2 every minute = height of water left, so s - 2t (t representing minutes) = h

To figure out s, we simply plug our known value -- 9 minutes in and 11 inches left. s - 2(9) = 11, s-18=11, s= 29

29 - 2t = h

b. We know that we cannot have negative minutes, so the minimum amount of time that makes sense is 0. To figure out the maximum, we stop counting how much time has occurred when there is no water left, so we have to figure out when h = 0

29-2t = h = 0

t=14.5

Therefore, anything between 0 and 14.5 minutes makes sense

c. Anything between 0 and 29 makes sense because the height of water cannot be negative and we cannot get higher than the starting amount

Assume X is normally distributed with a mean of 5 and a standard deviation of 2. Determine the value for x that solves each of the following.

a. P(X > x) = 0.5
b. P(X > x) = 0.95
c. P(x < X < 9) = 0.2
d. P(3 < X < x) = 0.95
e. P(-x < X - 5 < x) =0.99

Answers

Answer:

U = 5

S = 4

1.) P(X>x) = 0.5

Prob = 1-0.5 = 0.5

We have z = 0, that is the z score with the probability of 0.5

X = u + z(s)

= 5+0*4

= 5

2.) 1-0.95 = 0.05

Z score having this probability

Z = -1.64

X = 5-1.64*4

= 5-6.56

= -1.56

3.) P(z<1.0) - p(X<x) = 0.2

0.841345-0.2 = .641345

We find the z score given this probability

Z= 0.36

X = 5+0.36*4

= 5+1.44

= 6.44

4.) P(X<x)-P(Z<-.5)

0.95 = p(X<x)-0.308538

p(X<x) = 0.308538 + 0.95

= 1.258538

There is no x value here, given that the probability is more than 1.

5. 1-0.99/2 = 0.005

We get the z score value

= -2.58

U - 5 = 5-5 = 0

-x = 0-2.58(4)

X = 10.32

Hi :), im really struggling with this. Just wanted to know if anyone can explain step by step for me please?

Answers

Answer:

314 m²

Step-by-step explanation:

the surface area of a sphere (As) = 4×pi×r²

our radius r (half the diameter) here is 5m.

=>

As = 4×pi×5² = 4×3.14×25 = 100×3.14 = 314 m²

Given the equation Y-4=3/4(x+8) in point-slope form, identify the equation of the same line in standard form

Answers

Answer:

3x-4y=-40

Step-by-step explanation:

Hi there!

We're given the equation of the line, y-4=3/4(x+8) in point-slope form (y-[tex]y_{1}[/tex]=m(x-[tex]x_{1}[/tex]), where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) is a point and m is the slope)

We need to convert y-4=3/4(x+8) into standard form (ax+by=c, where a, b, and c are integer coefficients; a CANNOT be 0, and CANNOT be negative).

So we need to get y-4=3/4(x+8) out of point-slope form

We can do this by converting the equation into slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

to do this, we need to isolate y by itself in the equation

first, do the distributive property and distribute 3/4 on the right side

y-4=3/4x+6

add 4 to both sides

y=3/4x+10

now the equation is in slope-intercept form, but remember, we want it in standard form

x and y are on the same side in standard form, so let's subtract 3/4 x from both sides

-3/4x+y=10

however we aren't done; in standard form, the coefficients need to be integers (whole numbers), and a (the coefficient in front of x) CANNOT be negative

so let's multiply both sides by -4 to clear the fraction and change the sign of a

-4(-3/4x+y)=-4(10)

do the distributive property

3x-4y=-40

Hope this helps! :)

Item 21
Subtract.

7,342−2,667

Answers

Answer:

4675

Step-by-step explanation:

Balu had a collection of coins1/2 of the coins were from Asian countries,1/3

of them from European countries and the remaining 36 from America.

How many coins were from ASIAN countries?

A)18

B)30

C)108

D)216 step by step explanation please​

Answers

Step-by-step explanation:

[tex] \frac{1}{2} = asian \\ \frac{1}{3} = european \\ 36 = american \\ \frac{1}{2} + \frac{1}{3} = \frac{3 + 2}{6} = \frac{5}{6} \\ \frac{6}{6} - \frac{5}{6} = \frac{1}{6} = 36 \\ \frac{1}{6} = 36 \: so \\ \frac{6}{6} =6 \times 36 = 216 \\ \frac{1}{2} \times 216 = asian \\ \frac{1}{2} \times 216 = 108asian \\ please \: mark \: brainliest[/tex]

There are total 108 coins belonging to Asian countries.

What is equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Balu had a collection of coins 1/2 of the coins were from Asian countries, 1/3 of them from European countries and the remaining 36 from America.

Let the total number of coins be x,

Establishing the equation, we get,

x/3+x/2+36 = x

Multiplying the equation by 6, we get,

2x+3x+216 = 6x

6x-5x = 216

x = 216

Therefore, the total numbers of coins are 216,

Since, there are 1/2 of total coins are Asian coins,

Therefore, number of Asian coins = 216 / 2 = 108

Hence, There are total 108 coins belonging to Asian countries.

For more references on equations, click;

https://brainly.com/question/29657983

#SPJ2

What is the gradient of the blue line

Answers

Answer:

Up 2 to the right 1

Step-by-step explanation:

that would be i think

A driver works 40 hours a week for the first two months on the job. How much more per week does the driver make after 28 days?

Answers

Answer:

is there something missing in this question. i cant understand

Step-by-step explanation:

please tell me if there is more to this

Which pair of expressions below are equivalent?

a. 7(2n) and 9
b. 3n + 5n and 15n
c. 4(2n-6) and 8n - 24
d. 7(2n) and 72n​

Answers

Answer:

The answer is C

Hope this helped!

Classify each angle of the degrees

Answers

Answer:

acute

right angle or obtuse

obtuse

Step-by-step explanation:

those are the answers

Why is it useful to factor out the GCF first when factoring?

Answers

it makes the problem simpler and earlier to solve

Answer:

Because it makes factoring easier because the coefficient are smaller requiring less step

170 lbs to kg round to nearest tenth​

Answers

Answer:

77.1 kg

Explanation:

Help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

9

Step-by-step explanation:

Length * Width = 43 * 36 = 1548 sq ft

1548 / 172 (sq ft per can of wood stain covered) = 9

determine the missing angle.

Answers

Answer: 130 degrees

Explanation: 180-50=130

Three airlines serve a small town in Ohio. Airline A has 48% of all scheduled flights, airline B has 26% and airline C has the remaining 26%. Their on-time rates are 81%, 61%, and 40%, respectively. A flight just left on-time. What is the probability that it was a flight of airline A?

Answers

Answer:

0.5969 = 59.69% probability that it was a flight of airline A

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Left on time.

Event B: From airline A.

Probability of a flight leaving on time:

81% of 48%(airline A).

61% of 26%(airline B)

40% of 26%(airline C). So

[tex]P(A) = 0.81*0.48 + 0.61*0.26 + 0.40*0.26 = 0.6514[/tex]

Probability of leaving on time and being from airline A:

81% of 48%. So

[tex]P(A \cap B) = 0.81*0.48 = 0.3888[/tex]

What is the probability that it was a flight of airline A?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3888}{0.6514} = 0.5969[/tex]

0.5969 = 59.69% probability that it was a flight of airline A

Need help quick! Will give brainliest

Answers

The answer is A for sure

ill give 30 points plz asnwer ( there are multiple answers btw) tyyy

There are four points on a line: A, B, C and D, so that (segments) AB=1, BC=2, CD=4. Find the length of segment AD. Consider all possibilities and draw a picture for each one of them.
All possible answers for the length of AD are, _, _, _, _, _.

Answers

Answer:

7,13,

Step-by-step explanation:

that's just what I think

Answer:i believe the answer is infinite.

Step-by-step explanation:

As we are free to decide what A is then all that has to be done is add the remaining answer to achieve the difference. Example i pick .25 as A which leaves 0.75 to equal 1. Then i use 0.75 and add 1.25 to equal 2. Then again 1.25 plus 2.75 to get 4. A is .25 and D is 2.75 equals 3.

What’s the answer?!!

Answers

Answer:

6x+10mm=p is the answer

brainlest plz

WILL GIVE BRAINLIEST
4
3
2x + 4
x+7

Answers

Answer:

x = 8

Step-by-step explanation:

[tex]\frac{x+7}{3} =\frac{2x+4}{4}[/tex]

do cross multiplication

[tex]3(2x+4) = 4(x+7)\\6x + 12 = 4x + 28\\6x - 4x = 12 - 16\\2x = 16\\x = 16/2\\x = 8[/tex]

What’s the value of X????

Answers

Answer:
137

Step-by-step explanation:

Sum of opposite angles in a quadrilateral embedded in a circle=180

43+x=180

X=180-43

X=137

Canesha and five of her friends went to the movie theater and found that there were only six seats left in the theater. How many different ways can Canesha and her friend sit in these six seats?



A. 120
B. 240
C. 720
D. 840

Answers

Answer:

Step-by-step explanation:

tis permutation - 6P6 = 6!/0! = 720/1=720

ans is C

There are total 720 ways that Canesha and her friend sit in these six seats.

what are combinations ?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

Here, we have,

For the first seat, Canesha and 5 of her friends can all sit in. So there are a possible of 6 different persons.

For the second seat, because one has already sat down, there are a possible of 5 different persons sitting in the second seat.

Continuing on, the total number of different ways Canesha and her friends can sit in those 6 seats are:

= 6*5*4*3*2*1

= 720

Hence, There are total 720 ways that Canesha and her friend sit in these six seats.

To learn more about combinations from the given link

brainly.com/question/11732255

#SPJ3

NO LINKS NO FILES. Write the next two integers: -48, -24, -12, _, _

Answers

Answer:

-6,-3

hope this helps

have a good day :)

Step-by-step explanation:

12(5x+10x^2)=480+60x




(^ = exponents)(show work)

Answers

x=−2 is the aswer to this problem i was wrong before

X=2 or X=-2 is the answer

Laura, David, and Carlos served a total of 115 orders Monday at the school cafeteria. David served 3 times as many orders as Carlos. Laura served 10 more orders than Carlos. How many orders did they each serve?

Answers

Answer:

Step-by-step explanation:    ts  6  11    19    56

Laura, David, and Carlos served a total of 115 orders

David served 3 times as many orders as Carlos.                 David = 3x

Laura served 10 more orders than Carlos.                      let Carlos = x

How many orders did they each serve?                           Laura  =  x + 10

     Carlos  +  David  +  Laura  = 115

          x  +     3x    +    x+10       = 115

                        5x + 10     =  115

                               5x   =  115 - 10

                               5x   =  105

                                x   =   21    Carlos

                                          63   Davide

                                          31    Laura

                 add then up    115  Total

A children's inflatable pool takes 17 minutes to fill with an electric air pump. It takes 53 minutes to let the air out of the pool. If the pool's vale is accidentally left open, how long will ot take to fill the pool?

Answers

Answer:

less than 17 minutes

Step-by-step explanation:

(05.01 MC) choose the systems of equations which matches the following graph​

Answers

Answer:

a

Step-by-step explanation:

x+2y=-10

-x       -x

2y=-10-x

y=(1/2)x-5

This is one of the lines and reduces the options to a or c.

3x-y=12

-3x    -3x

-y=12-3x

y=3x-12

This is the line with the positive slope and since both lines match, the answer is a.

ABCD is a quadrilateral such that the measures of three of its interior angles are given as B=122 degrees, C= 75 degrees, D= 51 degrees, find m=A

please help me with explanation ​

Answers

Answer:

angle A is 112 degree.

Step-by-step explanation:

quadilateral have 4 angles .

sum of the interior angles of a quadilateral is 360 degree

Here,

angle A = be x

angle B = 122

angle C = 75

angle D = 51

Now,

angle A + angle B + angle C + angle D =360 degree

x + 122 + 75 + 51 = 360

x + 248 = 360

x = 360 - 248

x = 112

NEED HELP ASAP!!! please!!


Is the graph of the function shown in the graph below one-to-one? why?

Answers

It’s not because if you draw a horizontal line it will pass through two points, if you draw a horizontal line and it only passes through one point then it’s a one to one function

Determine which data are qualitative and which data are quantitative. Explain your reasoning
a. The yearlysalaries of the employees at aschool district.(2pts)
b. The employeenumbers of the employees at an accounting firm.(2pts)
c. The areacodes of a sample of 350 residents of nursing homes.(2pts)
d. The ages of a sample of 350 residents of nursing home. (2pts)
e. The answers to a survey of 5000 people about how likely is it that the US will enter a 1930s-like depression. The answers are: Very likely, somewhat likely, not very likely, not at all likely. (2pts)
f. The IQ index of the students in a statistics class.(2pts)

Answers

Answer:

a. Quantitative

b. Qualitative

c. Qualitative

d. Quantitative

e. Qualitative

f. Quantitative

Step-by-step explanation:

Qualitative measures:

Answers are labels, that is, yes/no, good/bad, or numbers in which comparisons or operations cannot be made.

Quantitative measures:

Answers are numbers in which comparisons are made, or possible operations.

a. The yearly salaries of the employees at a school district.(2pts)

Salaries are numbers, in which comparisons can be made(more or less), so quantitative.

b. The employee numbers of the employees at an accounting firm.(2pts)

Number, but comparisons aren't made with these numbers, so qualitative.

c. The area codes of a sample of 350 residents of nursing homes.(2pts)

Number, but comparisons aren't made with these numbers, so also qualitative.

d. The ages of a sample of 350 residents of nursing home. (2pts)

Number, comparisons made, you can rank by age for example, so quantitative.

e. The answers to a survey of 5000 people about how likely is it that the US will enter a 1930s-like depression. The answers are: Very likely, somewhat likely, not very likely, not at all likely. (2pts)

Labels, so qualitative.

f. The IQ index of the students in a statistics class.(2pts)

Students can be ranked by IQ, so quantitative.

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This was more than the king would have dared say about England; for there, if he wanted money to spend, he had to ask the people for it, and they coul give it or not as they thought best. The Americans sald, We have the same rights as our brothers In England, and the king cannot force us to give a single copper against our will. If he tries to take it from us, we will fight" The "Boston Tea Party However, George the Third did not really know the Americans, and he did not think that they meant what they said. He tried to make them pay the money, but they would not and from Maine to Georgia, all the people were of one mind. Then the king thought of an alternate plan and arranged for shiploads of tea to be sent over to New York, Boston, Philadelphia, and Charleston. He ordered, "If the tea should be landed and sold, then every man who bought a pound of it would have to pay six cents more than the regular price." That six cents was a tax, which the people refused to pay. When the tea reached New York, the citizens sent it back again to England. They did the same thing at Philadelphla. At Charleston, they let it be landed, but it was stored in damp cellars. People would not buy any of it anymore, so It all rotted and spoiled. In Boston, they had a grand "tea party." A number of men dressed themselves up like Native Americans, went on board the tea ships at night broke open all the chests, and emptied the tea Into the harbor. A mechanism by which cancer cells can evade an immune response involves an alteration in the amount of MIC on the cell surface by _________. Group of answer choices cleavage of MIC at the cell surface by a protease decreasing the level of MIC transcription switching from a transmembrane form of MIC to a secreted form cytosolic degradation of MIC in proteasomes alternative mRNA splicing resulting in a truncated form of MIC that is no longer able to bind to NKG2D