1) Find the missing side. Give your
answer in simplest radical form.

1) Find The Missing Side. Give Youranswer In Simplest Radical Form.

Answers

Answer 1

Answer:

x = 4

y = 4√3

Step-by-step explanation:

Reference angle = 30°

Hypotenuse = 8

Adjacent = y

Opposite = x

Recall: SOHCAHTOA

✔️To find x, apply SOH:

Sin 30 = Opp/Hyp

Sin 30 = x/8

x = 8 × sin 30

x = 8 × ½ (sin 30 = ½)

x = 4

✔️To find y, apply CAH:

cos 30 = Adj/Hyp

Cos 30 = y/8

y = 8 × Cos 30

y = 8 × √3/2 (cos 30 = √3/2)

y = 4 × √3

y = 4√3


Related Questions

A trapezoid has a height of 6 inches, an area of 120 square inches, and one base measuring 13 inches. Find the length of the other base. ​

Answers

Answer:

27

Step-by-step explanation:

Givens

b1 = 13

b2 = ?

h = 6

Area = 120

Formula

Area = (b1 + b2) * h/2         Multiply by 2

2Area = (b1 + b2)*h           Divide by h

2Area/h = b1 + b2              Subtract b1 from both sides

2Area/h - b1 = b2

Solution

2*120 / 6 - 13 = b2

40 - 13 = b2

b2 = 27

It is always handy to solve an equation in the form that finds the unknown on one side. It makes the solution much easier.

What is 2x times 3x............................

Answers

Answer:

What is 2x times 3x

6x

Step-by-step explanation:

3•2=6

PLEASE HELP SURFACE AREA TRIANGULAR

Answers

Answer:

Step-by-step explanation:

i attached some screen shots that have the formula and the answer lol. I hope these answer your questions!

Noha rides his bike 4 miles and andrew rides his bike 2 miles how long dose it take for them to meet up( there 15 miles away

Answers

Step-by-step explanation:

Considering speed of Noha = 4miles per hour

and speed of andrew = 2 miles/hour

The distance between Noha and andrew = 15 miles

Case 1: when they are travelling towards each other( opposite direction)

Then their relative speed becomes = 4+2 = 6miles/hour

Time taken to meet = Distance/relative speed = 15/6 = 2.5 hours

Case2: When they are travelling same direction

Then their relative speed becomes = 4-2 = 2 miles/hour

Time taken to meet = Distance/ relative speed = 15/2 = 7.5 hours

What is the slope of the line represented by -3x + 5y = 20 ?

Answers

The slope would be 3/5x
3/5 is the right one

Help help help help help help help

Answers

Answer:

Negative

Positive

Negative

Positive

Step-by-step explanation:

AnswerNegative ,Positive, Negative, Positive

Step-by-step explanation:

Arjay records the number of chirps per minute (x) that crickets make at
different temperatures (™) in degrees Fahrenheit.
He determines that the association is linear and that the line of best fit is
y= *x + 40
What is the interpretation of the slope and y-intercept of this equation?
Temperature (°F)
90
80
70
60
50
40
30
20
10
5 10 15 20 25 30 35 40 45
Chirps per minute

Answers

Answer: B

Step-by-step explanation:

PLEASE ANSWER ILL TRY AND MARK BRAINKIEST IF YOH GIVE ME CORRECT ANDWER

Answers

Answer:

option 3

Step-by-step explanation:

Your answer would be option 3

does anyone know how to do this or could explain how they got their answer?

Answers

Answer:

c

Step-by-step explanation:

Answer:

using trigonometric ratio sin, which is

sin[tex]\alpha[/tex]=opp/hyp to mean opposite/ hypotenuse

sin 40°= x/9

multiply both sides of this by 9 to remove the 9 in the side we have x, we will have

sin 40°/9=x

sin° 40 =0.7451

so x= 0.7451/9

which is

x= 0.0827888888

to give it in 3 decimal places, the answer will be 0.083 since 7 is the fourth number and is more than five, we add 1 to the 2 making it 3

Hope this helps, and please mark brainiest

Step-by-step explanation:

please help i need to turn it in

Answers

Answer:

978 in

Step-by-step explanation:

(9x6)+(18x18)+(25x24)=978

Answer:

978

Step-by-step explanation:

Make into 3 smaller rectangles and add the area

PLEASE HELP 20+ POINTS!!!! VERY VERY IMPORTANT

Answers

Answer:C

Step-by-step explanation:30 percent of 7500 is 5250

7/9+5/9 as a fraction in simplest form

Answers

Step 1

Write all numerators above the common denominator
7+5/9

Step 2

Add the numbers
12/9

Step 3

Reduce the fraction with 3

4/3

Your answer should be 4/3

Or 1 1/3 , 1.3

1 3/9 is da answerrr

HELP ASAP!!! No links please!! Add explanation! And I will give brainliest to whoever answers first!!!

Answers

Area: ½ x (sum of the lengths of the parallel sides) x perpendicular distance between parallel sides

Area = 1/2( 8 + 14) 5 = 1/2× 22 × 5 = 55 ft^2

Each week, Darin's Lawn Service mows 90 lawns in 45 hours at a housing c
The lawns in the complex are the same size.
At this rate, how many hours will it take Darin to mow 12 lawns?
Complete the table.

Answers

9514 1404 393

Answer:

  6 h

Step-by-step explanation:

The bottom number in the table is half the top number. The missing value is 6 (hours).

__

I like to put the variable in the numerator of a proportion. Here, we can write it as ...

  t/12 = 45/90

Multiplying by 12 gives ...

  t = 12(45/90) = 12(1/2) = 6

It will take Darin 6 hours to mow 12 lawns.

Answer: 6 is going to be the answer!

Step-by-step explanation: hope this helps

Please answer I really need help due at 11:50

Answers

Answer:

|-3| = 3

|3| = 3

Step-by-step explanation:

What is the absolute maximum or minimum of f(x) = 3x^2-5x-9

Answers

Answer:

Absolute minimum / vertex = (5/6,-133/12)

Step-by-step explanation:

Since a is positive, then the absolute maximum is ∞. The absolute minimum would be the vertex of the parabola, meaning x=-b/2a=-(-5)/2(3)=5/6, and y=3(5/6)^2-5(5/6)-9 = -133/12. Therefore, your absolute minimum / vertex is (5/6,-133/12)

(5/6,-133/12) You have to use the formula x=-b/2a

convert 0.0008 as a fraction in its simplest form​

Answers

1/1250 is the answer I think

HELP.
Which equation is represented by the graph below?
Y=In x-3
Y=In x-4
Y=e^x-3
Y=e^x-4

Answers

Not able to see the graph

Diego predicts that his basketball team has a 23 probability of winning each of their next 7 games. Select two ways Diego could accurately simulate the number of games his team will win.

Answers

Answer:

(c) and (e)

Step-by-step explanation:

Given

[tex]Pr = \frac{2}{3}[/tex]

Required

Which 2 options can be used to simulate the given probability.

The two options are (c) and (e)

The proof is as follows;

Option (c)

We have:

[tex]Rolls = 7[/tex]

A cube has 6 faces. So:

[tex]S = \{1,2,3,4,5,6\}[/tex]

[tex]n(S)=6[/tex]

The probability of getting ones, twos, threes, and fours is:

[tex]Pr = \frac{n(1,2,3,4)}{n(S)}[/tex]

In: [tex]S = \{1,2,3,4,5,6\}[/tex]

[tex]n(1,2,3,4) = 4[/tex]

So:

[tex]Pr = \frac{4}{6}[/tex]

Simplify

[tex]Pr = \frac{2}{3}[/tex]

Option (e)

We have:

[tex]White = 10[/tex]

[tex]Red = 5[/tex]

[tex]Count = 7[/tex]

Record the probability of white.

This is calculated as:

[tex]Pr = \frac{White}{Total}[/tex]

[tex]Pr = \frac{White}{White + Red}[/tex]

[tex]Pr = \frac{10}{10+5}[/tex]

[tex]Pr = \frac{10}{15}[/tex]

Simplify

[tex]Pr = \frac{2}{3}[/tex]

Please answer correctly !!!!!
Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer: 30 boys 45 girls

Step-by-step explanation:

0.1 divided by 7 pls answer I need this by tomorrow

Answers

Answer:

0.014286

Step-by-step explanation:

Riley invested $8,500 in an account paying an interest rate of 3.8% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $18,040?

Answer:

Answers

Answer:

First we subtract 8,500 from the 18,040. What we get from that is 9540. Now we divide 9,540 by 3.8 and see what we get. What we get is 2510.52631579 which means it would take around 2510.52631579 days to pay 18,040. In total that rounds to 7 years. Rounding up by the way

Step-by-step explanation:

Four friends are told that the average (mean) of their grades for their favorite class is 84.5%.



Anthony got 86%, Jasmine got 92%, and Kaitlyn got 70%.

Jonathan's grade was not revealed.
What grade did Jonathan get?
PLEASE HELP SOON

Answers

Multiply the average by number of people:

84.5 x 4 = 338

This means the total of the 4 grades need to equal 338

To find Jonathan’s grade subtract the other 3 grades from 338:

338 - 86 - 92 -70 = 90

Jonathan’s grade was 90

What number am I? All of my digits are even. My tens digit is equal to two more than my hundreds digit. My ones digit is equal to two more than my tens digit.

Answers

Answer:

246 or 468.

Step-by-step explanation:

The only possible even digits are 2, 4, 6, and 8 (0 is neither even nor odd).

Therefore, your possible numbers are 246 and 468.

Are the 2 triangles congruent? *
2 points
e) Yes or No
REASON:
A

Answers

Answer:

no

Step-by-step explanation:

because they are struggling with their identity

A westbound train travels 16 miles per hour slower than the eastbound train. If two trains are 800 miles apart after 5 hours what is the rate of the westbound train?

Answers

Answer:

6

Step-by-step explanation:

The rate can be calculated as follows

x + x -16

2x-16

(2x-16)×5

10x - 80= 800

10x = 300-80

10x, = 220

x = 220/10

= 22

22-16

= 6 mph

Hence the rate of the west bound tsin is 6mph

Help!! I’ll give brainliest!

Answers

Answer:

d

Step-by-step explanation:

stat edit but just use the formula y2-y1/x2-x1

HELP!!! answer quickly pls

Answers

Answer:

the first option

Step-by-step explanation:

hope it helps!!!

Answer:

it is y=2x+5 because replacing a point such as (-2;1) the remaining equation is 1=1, which is right

Step-by-step explanation:

SOMEONE PLZ HELP ME

Answers

(0, infinity)

                                   I hope it helps

Someone help me please-

Answers

Answer:

Rectangle 11.59 sqft

Rectangle 36 sqft

Polygon 47.59 sqft

Step-by-step explanation:

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