Solve the right triangle shown in the figure. (Round your answers to two decimal places.)

Solve The Right Triangle Shown In The Figure. (Round Your Answers To Two Decimal Places.)

Answers

Answer 1

Answer:

Step-by-step explanation:

sin A = [tex]\frac{a}{c}[/tex]

sin 9.4° = [tex]\frac{20.5}{c}[/tex] ⇒ c = (20.5) / (sin 9.4°) ≈ 125.52

tan A = [tex]\frac{a}{b}[/tex]

tan 9.4° = [tex]\frac{20.5}{b}[/tex] ⇒ b = (20.5) / (tan9.4°) ≈ 123.83

m∠B = 90° - 9.4° = 80.6°

m∠C = 90°


Related Questions

what is the percintage change of 36 to 24

Answers

Answer:

if its 24 by 36 then its 150%. If it was 36 by 24 then it would be 66.6

Step-by-step explanation:

The greatest number of bags ? can fill is ?

bags because the GCF of 34 and 51 is ?

. Each bag can have ?

blueberry and ?

raspberry scones.

Answers

Im so sorry. Your question is very poorly formatted I do not understand what you are saying.

The GCF of 34 and 51 is 17

If the function h(x) is defined by h(x) = 2x? - 7x-12 then which of the following values of x solves the
equation h(x) = 10?
(1) x = -2
(3) x = 48
(2) x = 5
(4) x = 118

Answers

Answer:

x=-2 solves the equation h(x)=10.

Step-by-step explanation:

Given the function

[tex]h\left(x\right)\:=\:2x^2\:-\:7x-12[/tex]

Putting [tex]h(x)=10[/tex] in the function

[tex]10=2x^2-7x-12[/tex]

switch both sides

[tex]2x^2-7x-12=10[/tex]

add 12 to both sides

[tex]2x^2-7x-12+12=10+12[/tex]

[tex]2x^2-7x=22[/tex]

Divide both sides by 2

[tex]\frac{2x^2-7x}{2}=\frac{22}{2}[/tex]

[tex]x^2-\frac{7x}{2}=11[/tex]

Rewriting in the form x²+2ax+a²

[tex]\mathrm{Add\:}\left(-\frac{7}{4}\right)^2\mathrm{\:to\:both\:sides}[/tex]

[tex]x^2-\frac{7x}{2}+\left(-\frac{7}{4}\right)^2=11+\left(-\frac{7}{4}\right)^2[/tex]

[tex]x^2-\frac{7x}{2}+\left(-\frac{7}{4}\right)^2=\frac{225}{16}[/tex]

[tex]\left(x-\frac{7}{4}\right)^2=\frac{225}{16}[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

slove

[tex]x-\frac{7}{4}=\sqrt{\frac{225}{16}}[/tex]

[tex]x-\frac{7}{4}=\frac{\sqrt{225}}{\sqrt{16}}[/tex]

[tex]x-\frac{7}{4}=\frac{15}{4}[/tex]

[tex]\mathrm{Add\:}\frac{7}{4}\mathrm{\:to\:both\:sides}[/tex]

[tex]x-\frac{7}{4}+\frac{7}{4}=\frac{15}{4}+\frac{7}{4}[/tex]

[tex]x=\frac{11}{2}[/tex]

solving

[tex]x-\frac{7}{4}=-\sqrt{\frac{225}{16}}[/tex]

[tex]x-\frac{7}{4}=-\frac{15}{4}[/tex]

[tex]\mathrm{Add\:}\frac{7}{4}\mathrm{\:to\:both\:sides}[/tex]

[tex]x-\frac{7}{4}+\frac{7}{4}=-\frac{15}{4}+\frac{7}{4}[/tex]

[tex]x=-2[/tex]

The solutions to the quadratic equation are:

[tex]x=\frac{11}{2},\:x=-2[/tex]

Therefore, x=-2 solves the equation h(x)=10.

Felix has a bucket of golf balls. The table shows the number of times each color of golf ball was drawn. Based on the information in the table, in how many of the next 180 draws should the outcome be expected to be white? Round your answer to the nearest whole number if needed

Answers

Answer: 47



Explanation: The total number of draws is 42 and the probability of drawing white is 11/42.

Thus, we can simply multiply this probability by 180 to get 47.1 which becomes 47.

What equation of the line is parallel to y=4x-9

Answers

Answer:

y= 4x (any number negative or positive except -9)

Write this on your paper:

y = 4x +1

Jordan is using his birthday money to buy baseball cards. Danny's Downtown Shop sells boxes of 80 cards for $23.20. The General Store sells boxes of 120 cards for $28.80. Which store offers the better deal?

Answers

Answer:

I believe that the general store offers a better deal.

Answer:

I believe that the general store offers a better deal

Step-by-step explanation:

Drag the tiles to the boxes to form correct pairsMatch the expressions with the property used to generate

Answers

Answer:

wheres the question??

which of the following represents an exponential function

Answers

Answer:

what are the options

Step-by-step explanation:

Ana runs 3/4 miles in 6 minutes, or 1/10 hour. Assuming she runs a constant rate what is er speed, in miles per hour?

Answers

Answer:

Ana runs at a speed of 7.5 miles per hour

Step-by-step explanation:

Speed

Is the rate at which the distance changes in time.

The formula to calculate the speed is:

[tex]\displaystyle v=\frac{d}{t}[/tex]

Where d is the distance traveled in time t.

We know Ana runs a distance of d=3/4 miles in 6 minutes, already converted to t=1/10 hours.

Thus, the speed is calculated as follows:

[tex]\displaystyle v=\frac{\frac{3}{4}}{\frac{1}{10}}[/tex]

Multiplying by the reciprocal of the denominator:

[tex]\displaystyle v=\frac{3}{4}\cdot \frac{10}{1}=\frac{30}{4}[/tex]

v=7.5 mile/h

Ana runs at a speed of 7.5 miles per hour

Can someone help me with this question

Answers

Answer:

It’s c my fren its 40 because you are doing the math as in adding and multiplying..... I tried to help lol tell me if I’m wrong.

Step-by-step explanation:

Please help me with this

Answers

Answer:

30

Step-by-step explanation:

x+2x+3x=180

6x=180

x=30

4(5c+3) and 9c+7 is it equivilent

Answers

Answer:

why are you cheating

Step-by-step explanation:

whats your reputation

Answer:

Step-by-step explanation:

Yes

Please answer this!!

Answers

Answer:

3,724 cubic inches

Step-by-step explanation:

All you have to do is multiply 19•14•14

please help me :////

Answers

Answer:

34

Step-by-step explanation:

Answer:

2i

Step-by-step explanation:

if the root is at -2i it's other root is the conjugate at 2i

When a rock is dropped on Earth, the time in seconds it takes the rock to fall d meters is modeled by √0.45d. When a rock is dropped on the moon, the time in seconds it takes the rock to fall d meters is modeled by √1.11d. Does it take more time on Earth or on the moon for a rock to fall 50 meters? Show your work.

Answers

Answer:

It takes more time on moon for the rock to fall.

Step-by-step explanation:

Given that:

Time it takes for rock to fall d meters on earth = √0.45d

Time it takes for rock to fall d meters on moon = √1.11d

For a rock to fall 50 meters:

On earth :

Time = √0.45*50 = 4.7434164 seconds

On moon :

Time = √1.11*50 = 7.4498322 seconds

Time on moon > Time on earth

Hence, It takes more time on moon for the rock to fall.

Hurry pleaseeee taking a test Which expression is equivalent to 30°? Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Inverse of sine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Sine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)

Answers

Answer:

Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)

Step-by-step explanation:

According to trigonometry identity;

Cos 30° = √3/2

To get the expression equivalent to 30°, we will take the inverse of both sides as shown;

Cos^-1(cos 30°) = cos^-1(√3/2)

The arccos will cancel out the cos on the left hand side of the equation to have;

30° = cos^-1(√3/2)

Hence 30° is equivalent to inverse of cosine of √3/2 or Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)

Answer:

the Answer is A

Step-by-step explanation:

Edge 2020

9(3x - 5) = -9(-5x - 3)
how many solutions do you get when you solve ?

Answers

Answer:

one solution

Step-by-step explanation:

Given

9(3x - 5) = - 9(- 5x - 3) ← distribute parenthesis on both sides )

27x - 45 = 45x + 27 ( subtract 45x from both sides )

- 18x - 45 = 27 ( add 45 to both sides )

- 18x = 72 ( divide both sides by - 18 )

x = - 4

Just in case you can't see what is says it says Which point has coordinates (1,-5)
A B C D please help me

Answers

Answer:

D

Step-by-step explanation:

the x value = 1 so move to the right 1 mark on the graph and since y = -5 you move down 5 marks on the graph and you get you answer

hope this helps!

plz mark me brainliest if this helped!

have a great day!

Solve for x
-2x+8y=20

Answers

Answer:

X=-6

Step-by-step explanation:

-2 times -6= 12          12+8=20

Find the slope of the line that passes through the given points.
(-1, 4) and (-3, 8)

Answers

Answer:

-2

Step-by-step explanation:

4-8 = -4

-1 - -3 = 2

-4/2= -2

Use the order of operations to simplify 4(3.5-1.5)-1/2

Answers

Answer:

7.5

Step-by-step explanation:

4*3.5 = 14

4*-1.5 = -6

14 + -6 = 8

8-1/2 = 7.5

Answer:

7.5

Step-by-step explanation:

I really need help plz ok

Answers

Answer:

n = 12

Ava has 12 times as many eggs as Cole

Step-by-step explanation:

May I have brainliest please? :)

Please help !!!!! Don’t answer if you just want to scribble . Imagine how you would feel if it were you .

Answers

Answer:

m= -3

b= 4

Step-by-step explanation:

whatever number has x next to it is always slope, that is how you find slope in a equation. To find y-intercept (b) you can just use the other number that doesn't have x to it.

Hope this helps!!!

d. 15 times the sum of 14 and 6
expression and the value of the expression

Answers

The answer is to the question is 134

will give brainly if you help

Answers

Answer:

I think it is 0

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

To find the y-intercept from a table all you have to do is find when x is 0 because the y-intercept is (0,5) on a graph

Lisa runs 3 miles in 28 minutes. At the same rate, how many miles would she run in 42 minutes? How do I solve???

Answers

Answer:

About 4.5

Step-by-step explanation:

First, divide 28 by 3, round to closest number (2 numbers after the decimal) then take 42 divided by that number (9.33), and you get about 4.5

Hope this helped!

Two swim clubs are having a membership sale. Aqua Plus is offering a two-year membership for $479.76. Water World is offering an 18-month membership for $350.00. Which describes the swim club that has the lower-priced offer?
Aqua Plus has the lower cost of $239.88 per year.
Water World has the lower cost of $239.88 per year.
Aqua Plus has the lower cost of $19.44 per month.
Water World has the lower cost of $19.44 per month.

Answers

Answer:

water world give lower priced offer

Step-by-step explanation:

Offer given by Aqua Plus

two-year membership for $479.76

it means,

for 24 month=$479.76

For 1 month=$

For 1 month membership Aqua Plus  take $19.99

Now Offer given by Water World

18-month membership for $350.00

it means for 18 month=$350.00

and For 1 month=$

For 1 month membership water world takes $19.44

it means amount taken by water world for 1 month membership is less than the amount taken for 1 month by Aqua plus

Therefore, water world give lower priced offer.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

solve for x 3(-5x+4)+5x-1=-39

Answers

Answer:

2

Step-by-step explanation:

x3(−5x+4)+5x−1=−39

−5x4+4x3+5x−1=−39

Step 1: Subtract -39 from both sides.

−5x4+4x3+5x−1−(−39)=−39−(−39)

−5x4+4x3+5x+38=0

Step 2: Factor left side of equation.

(−x+2)(5x3+6x2+12x+19)=0

Step 3: Set factors equal to 0.

−x+2=0 or 5x3+6x2+12x+19=0

x=2 or x=−1.409699

can someone help me with this please
The midpoint of AB with line above it is M(-2, 1). If the coordinates of A are (1, -2) what are the coordinates of B?

Answers

The coordinates of B are (-5, 4)

There is a contest at school where students guess how many dimes are in a jar. The person whose guess is closest to the actual value wins the jar. Jeffrey guessed 470 dimes. The actual value is 510. What is Jeffrey's percent error?

Answers

Answer:

to go yes back

Step-by-step explanation:

Other Questions
Pls help me and thank you Im mark brainliesg PLS ANSWER FAST THANK YOUU Based on the graph, which inequality is correct for a number that is to the right of -3?A number line is shown from negative 8 to 8 at increments of 1. A circle is shown at negative 3. The entire portion of the number line to the right of negative 3 is shaded. a4 > 3 b3 > 4 c2 < 3 d3 < 6 Read the sentence below and answer the question that follows. This country severely restricted the rights of its nonwhite citizens under a policy called apartheid, but since 1994 has made progress towards equality. The country described in the sentence above is __________. A. Kenya B. Somalia C. South Africa D. Sudan Please select the best answer from the choices provided A B C D In 2011, pedestrian deaths accounted for ___% of all traffic fatalities Please please help I dont know what the answer is What happened on April 19, 1775 in Lexington and Concord. The gas-phase reaction between nitrogen and oxygen was carried out in a device designed to maintain constant pressure. There are two cylinders of equal volume with a reaction arrow between them. The cylinder on the left has two molecules of O 2 and two molecules of N 2. The cylinder on the right has four molecules of N O. A constant pressure is applied to both cylinders Write the balanced chemical equation for the reaction between nitrogen oxygen. Include physical states. what segment is the diameter Is this a Right scalene, right isosceles, Obtuse Scalene, acute isosceles? Someone help, please Please tell me if my answer is correct.Simple Interest Jason runs at a pace of 7 miles per hour and his friend runs at a pace represented bythe equation y = 6x where y is distance in miles and x is time in hours. Who runsfaster? What is the value of x 1:rosalie is refinishing her basement. 4m by 6m are the dimentions of rosalies rectangular basement.how much tile would she need to cover the floor? 2: if the hight of the basment is 7m,how much wall area is there to paint? first answer is 24m In the light-I defendant reactions of photosynthesis 9 ft=_____ in Do y'all know the answer to this plz help me out plz and thanks Find the slope using the formula.(-2, -8) and (4, -6)I WILL GIVE BRAINLIEST I NEED HELPAccording to Aztec legend, why was Lake Texcoco chosen for settlement?The priests had foreseen the spot in the 365 day calendarThe priests were visited on that spot by the sun and moon godsThe people were given a sign when they witnessed an eagle perched on a cactus and eating a snakeThe people were given a sign when they witnessed the lake sink away, leaving behind nothing but the island, A motorcycle has a mass of 240 kg and accelerates at a rate of 4 m/s2Work out the driving force of the motorcycle.Solution:UsingF = m aF = 240 x 4F = 960 N