and side q has a
In the 30-60-90 triangle below, side s has a length of
length of
30°
g
10
90°
60°
S
A. 5.10.15
B. 10.13.20
C. 105: 105

And Side Q Has AIn The 30-60-90 Triangle Below, Side S Has A Length Oflength Of30g109060SA. 5.10.15B.

Answers

Answer 1

Answer:

E

Step-by-step explanation:

Using the cosine and sine ratios in the right triangle and the exact values

cos60° = [tex]\frac{1}{2}[/tex] , sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2s = 10 ( divide both sides by 2 )

s = 5

------------------------------

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{10}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2q = 10[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

q = 5[tex]\sqrt{3}[/tex]


Related Questions

3 feet + 7 inches = ___ inches

Answers

Answer:

10

because when you plus 3+7 is 10

There are 12 inches in one foot
12 inches x 3 feet = 36 inches
36 + 7 = 41 inches
Answer: 41 inches

Write a word problem that
could represent the equation
below. Then solve the
equation
7y + 3 = 101

-PLEASE HELP IM FR HALF ASLEEP-

Answers

Answer:

y = 14

You have to travel 101 miles. On the first day, you traveled 3 miles. How many miles do you need to travel each day after that to reach your destination in 7 days?

Step-by-step explanation:

You have to travel 101 miles. On the first day, you traveled 3 miles. How many miles do you need to travel each day after that to reach your destination in 7 days?

7y=98

y=14

Answer: 14

Step-by-step explanation:

First you do 3 - 3 which cancels each other out.

2nd step :

you do 101 - 3 which equals 98

3rd step :

Divide 98 by 7 and your final answer is 14 !! <3

Please help if you can! How many possible combinations of two number cubes, numbered 1 through 6, would add up to exactly 7?

Answers

Answer:

1. 1+6

2. 2+5

3. 3+4

4. 4+3

5. 5+2

6. 1+6

Step-by-step explanation:


AB - x^2 - 18, CD=3x, m

Answers

Answer:

13

Step-by-step explanation:

Jagdish dj dj dj dj dj hahaha

HELP AWARDING BRAINLIEST

Answers

Answer:

Either 2.34 or 2.345

Step-by-step explanation:

Slope is represented by the letter ____________ and the y-intercept is represented by the letter _______________ and is where the graph ________________________________

Answers

Answer:

Slope is represented by the letter M and the y-intercept is represented by the letter B and is where the graph intersects the y axis.

Step-by-step explanation:

y = mx+b, where y and x are variables and m is the slope and b is the y-intercept

Hope that helps

Help needed! Please and thanks

Answers

Answer:

8.125 inches

Step-by-step explanation:

Ok so basically what you needed to do was this

Find out what was the value like this 3 1/4 = 3.25 and 2 1/2 = 2.5

Then you will do

3.25 x 2.5 and get your answer

8.125

There you go! Have a Wonderful Day

Problem 2
A recipe for sparkling grape juice calls for 112 quarts of sparkling water and 34 quart of grape juice.
How much sparkling water would you need to mix with 9 quarts of grape juice? Response area of sparkling water.
How much grape juice would you need to mix with 154quarts of sparkling water? -- area of grape juice.
How much of each ingredient would you need to make 100 quarts of punch? ---- area of sparkling water and Response area of grape jui

Answers

Answer:

m

Step-by-step explanation:

Jemina has 4 dogs, 8 cats and 12 fish as pets at her house.
What is the ratio of cats to all of her pets?

Answers

Answer:

8:16

Step-by-step explanation:

Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amounts of
time that she worked.

Answers

Constant rates are used to illustrate linear functions.

The average rate of change is $9.0 per hourThe function that models the table is: [tex]\mathbf{f(x) = 9x }[/tex]The amount earned in 7.5 hours is $67.5

(a) The average rate of change

This is calculated using:

[tex]\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}[/tex]

So, we have:

[tex]\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}[/tex]

[tex]\mathbf{Rate = \frac{9}{1.0}}[/tex]

[tex]\mathbf{Rate = 9.0}[/tex]

Hence, the average rate of change is $9.0 per hour

(b) A function that models the table of values

Let x represent hours, and y represent the earnings.

So, we have:

[tex]\mathbf{y =m (x - x_1) + y_1}[/tex]

Where:

m =Rate = 9.0

So, we have:

[tex]\mathbf{y = 9(x - 2.5) + 22.5}[/tex]

Expand

[tex]\mathbf{y = 9x - 22.5 + 22.5}[/tex]

[tex]\mathbf{y = 9x }[/tex]

Represent as a function

[tex]\mathbf{f(x) = 9x }[/tex]

Hence, the function that models the table is: [tex]\mathbf{f(x) = 9x }[/tex]

(c) Amount earned for 7.5 hours

This means that x = 7.5

So, we have:

[tex]\mathbf{f(7.5) = 9 \times 7.5 }[/tex]

[tex]\mathbf{f(7.5) = 67.5}[/tex]

Hence, the amount earned in 7.5 hours is $67.5

Read more about constant rates at:

https://brainly.com/question/23184115

A planee is flying at a speed of 250 miles per hour. How long does it take to fly 250 (show steps)

Answers

Answer:

1

Step-by-step explanation:

If the plane goes 250 per HOUR, then it will take that one hour to get to 250

Which graph has exactly one y-intercept

Answers

Been a long time since I’ve done intercepts but I believe it is b sorry if it’s wrong

Answer:

B

Step-by-step explanation:

It touches the y-axis (one y - intercept)

It also touches the x-axis( one x-intercept)

-Chetan K

Which is equivalent to the expression below?

5(x + 5)

Group of answer choices

x + 25

5x + 25

5x + 10

x + 10

Answers

Answer:

The answer is 5x + 25

Explanation:

Apply distribution

distribute 5 to the equation inside the parenthesis

5x + 5 × 5

5x + 25

Please help it’s so hard for me

Answers

Answer:

Answer is d

Step-by-step explanation:

he directions for Grow Better fertilizer say that the 25-pound bag covers a 1,000-foot row of vegetables Which brand would Cala need more of to fertilize her vegetables? Explain

Answers

Using the principle of proportional relationship, the amount in pounds of Grow better Fertilizer exceeds the required amount of Feed all Fertilizer. Hence, more of Grow better Fertilizer would be needed.

Feed - All Fertilizer :

2 pounds = 100 foot row

x pounds = 450 foot row

Cross multiply

100x = 900

Divide both sides by 100

x = 900 / 100

x = 9 pounds

Grow better Fertilizer :

25 pounds = 1000 foot rows

x pounds = 450 foot rows

Cross multiply

1000x = 450 × 25

1000x = 11250

Divide both sides by 1000

x = 11250 / 1000

x = 11.25 pounds

Hence, Cala will need more of Grow better Fertilizer.

Learn more : https://brainly.com/question/25677544

5. Do you find similarities between the rules of adding & subtracting dissimilar fractions and
adding & subtracting dissimilar rational algebraic expressions?​

Answers

Answer:

First, we will change dissimilar fractions into similar fractions by finding the least common denominator. Second, add them like similar fractions. And then finally, convert the answer in the lowest term. Example No.6 Subtract 3/4 from 4/5. What will be our least common denominator? The least common multiple of 5 and 4 is 20. That was an Example

Step-by-step explanation:

Please help, will mark brainliest!!! :D
btw, you can just answer in A B C D; A is upper left, B is upper right, C is lower left, D is lower right.
THANK YOUUUUUUUUUUUUU

Answers

Answer:

D because that the only that make sense

Step-by-step explanation:


If the side lengths are
doubled, then which of
the following
statements about its
perimeter will be true?
The new perimeter will be
times the old

Answers

Answer:

It would be 2 times the old perimeter.

A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of B. Calculate the bearing of D from B

ONLY ANSWER QUESTION B PLEASE
Giving lots of points
I will give brainlist
NO FRAUDS

Answers

Answer:

213.7°

Step-by-step explanation:

The bearing of B from D is angle ADB,  Thus, ∠ADB = arctan(30/45) ≈ 33.7°

The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°

-----------------------------------------------------------------------------------------------------------

Part A: 135

Part B: 213.7  

------------------------------------------------------------------------------------------------------------

[RevyBreeze]

MATE!

213.7°

The bearing of B from D is angle ADB,  Thus, ∠ADB = arctan(30/45) ≈ 33.7°

The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°

Part A: 135

Part B: 213.7  

The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must transfer from Class Y to Class X so that both classes have equal number of students?

Answers

Answer: 12 students

Step-by-step explanation:

Let X and Y stand for the number of students in each respective class.

We know:

X/Y = 2/5, and

Y = X+24

We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:

(Y-x)/(X+x) = 1

---

We can rearrange X/Y = 2/5 to:

X = 2Y/5

The use this value of X in the second equation:

Y = X+24

Y =2Y/5+24

5Y = 2Y + 120

3Y = 120

Y = 40

Since Y = X+24

40 = X + 24

X = 16

--

Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:

(Y-x)=(X+x)

(40-x)=(16+x)

24 = 2x

x = 12

12 students must transfer to the more difficult, very early morning, class.

What is the discriminant of the quadratic equation 9x^2+5x-9=0

Answers

Answer:

Δ = 349

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 ) , then the discriminant is

Δ = b² - 4ac

9x² + 5x - 9 = 0 ← is in standard form

with a = 9, b = 5 , c = - 9 , then

b² - 4ac

= 5² - (4 × 9 × - 9)

= 25 - (- 324)

= 25 + 324

= 349

If Rick buys a remote control car for $33.00, what is his selling price?

Answers

Answer:

a

Step-by-step explanation:

y = - 4x + 3 & x - 4y = 8 : parallel or perpendicular or neither​

Answers

Answer:

perpendicular

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 3 ← is in slope- intercept form

with slope m = - 4

x - 4y =  8 ( subtract x from both sides )

- 4y = - x + 8 ( divide through by - 4 )

y = [tex]\frac{1}{4}[/tex] x + 2 ← in slope- intercept form

with slope m = [tex]\frac{1}{4}[/tex]

Since the slopes are not equal the lines are not parallel

- 4 × [tex]\frac{1}{4}[/tex] = - 1

Then the lines are perpendicular

what is the pathgoren therem

Answers

a^2 + b^2=c^2 Pythagorean theorem the well-known geometric theorem the the sun of the square on the legs of a right triangle is equal to a square on the hypotenuse

HELPPP ASAP

A:60
B:75
C:10
D:30

Answers

Answer:

look at the photo...............

Ms. Suzuki is buying soda for the pizza party her class earned. She estimates that each of her
24 students will drink 250 milliliters of soda on average. How many 2-liter bottles of soda
should she buy?

Answers

Answer: 3

Step-by-step explanation:

There are 24 students

1 student = 250 ml

24 students = 250ml x 24

= 6000 ml

To convert from millilitres to litres, divide by 1000

6000ml = 6000/1000l = 6 litres

2litres = 1 bottle

6 litres = 6/2 = 3 bottles

Therefore, she will need 3 2-litre bottles of soda

Answer:

The answer is 3

Step-by-step explanation:

I need assistance on this question please
X-3y=24

Answers

Answer:

x = -24 + 3y

Step-by-step explanation:

At 1:40 PM, the temperature is 99˚F. For the rest of the evening, the temperature drops an average of 4˚F per hour. Write an equation in slope-intercept form to represent the temperature y after x hours.

Answers

Answer:

Y=-4x+99

Step-by-step explanation:

Your y intercept is always the last number in the equation

The equation in slope-intercept form to represent the temperature y after x hour is Y=-4x+99

What is the slope?

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

The slope of the line is calculated as follows:

m = Δy/Δx

Given that At 1:40 PM, the temperature is 99˚F. For the rest of the evening, the temperature drops an average of 4˚F per hour.

Therefore, the slope of the line is;

m = Δy/Δx

m = 4

The equation in slope-intercept form is;

Y=-4x+99

To know more about the Slope of the line here;

brainly.com/question/14511992

#SPJ2

Hey can someone please help me in this question? ​

Answers

Answer:

£48

Step-by-step explanation:

Area of walls = area of four rectangular walls + area of two triangular shape at front and back

Area of a rectangular wall = l *w = 8 * 4 = 32 m²

Area of 4 rectangular walls = 4 *32 = 128 m²

Triangle:

Base = 6m

height = h = 7 - 4 = 3 m

Area of triangle = (1/2)*b*h

                          [tex]= \dfrac{1}{2}*6*3 = 3*3 = 9 \ m^{2}[/tex]

Area of 2 triangles = 2*9 = 18 m²

Area of four walls = 128 + 18 = 146 m²

Number of paint tins required = 146 ÷ 25 = 5.84 = 6

6 tins are required.

Cost of 6 tins = 8 * 6 = £48

Mr. Green is still repairing that old, rundown house he recently purchased. He finally fixed that leaky faucet in the kitchen, but now the bathroom faucet is leaking. He’s wondering if the dripping rate is the same as the kitchen, so again he starts his observations. However, this time he notes that for the bathroom faucet, 8 ounces of water dripped in 12 minutes.
A) At this rate, how many ounces of water will drip in a day?

Answers

Answer:

960 ounces in 1 day

(Sorry for a late response, I just logged on)

Step-by-step explanation:

Most of that information is negligable (not important) besides 8 ounces in 12 minutes.

so an hour is 60 minutes, if we multiply both parts of the problem by 5 we get

40 ounces in 1 hour

a day is 24 hours, so if we multiply both sides by 24 well get our answer

960 ounces a day

-- Gage Millar, Algebra 1/2 tutor

Answer:

960 ounces

Step-by-step explanation:

First, let's find how much water will drip in an hour (60 minutes), so we can make an equation:

8/12 = x/60

And if you multiply both sides of the equation by 60 you will get 8*5 = x which is 40. So, we know that in one hour, 40 ounces of water will drip from the bathroom faucet. To find how much water will drip in a day, just multiply 40 by 24 (since there are 24 hours in a day). That would result in 960.

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