Which expression gives the area of triangle QRS?

s

15

20°

R

9

O A £19)(15)cos(209)

O B. (11)(15)cos(209)

oc. (9)(15)sin(20°)

OD. £(11)(15)sin(209)

**Area** of **ΔQRS** is **1/2×9×15×sin20° **which is correct **option (C)**

** **

**Area of triangle** is **half** the** product** of **any two sides** and the **sine** of the **included angle.**

**Area **=** 1/2.ab.sinC**

**Area **of **ΔQRS** = 1/2×9×15×sin∅

∵ ∅ = 20°

**Area** of **ΔQRS** = **1/2×9×15×sin20°**

**Hence, area** of **ΔQRS** is **1/2×9×15×sin20°**

Learn more about **area of triangle**

https://brainly.com/question/27683633

#SPJ2

If 50 students were surveyed about their after-school sports, how many students play soccer?

**Answer:**

15

**Step-by-step explanation:**

30% is equal to 0.3 as a proportion

Multiply 50 by 0.3 to get the number of students who play soccer.

50 X 0.3 = 15

**Answer:**

15

**Step-by-step explanation:**

football and track =50% =25 students

20% of 50 is =10 students then 25 +10 =35-50=15 students which is how many plays soccer

11. Find the diameter of a circle with an area of 240.257 square millimeters. Round the answer to the nearesttenth.

**Answer:**

17.49

**Step-by-step explanation:**

A=πr2

d=2r

d=2A

π=2·240.26

π≈17.49013

The circumference of the tire of Melvin’s cycle is 2.5m. He took part in a race of 2km. When

he had covered 1.2km, the tire burst. To finish the race, how many more times should the wheel go

round?

**Answer:**

**320**

**Step-by-step explanation:**

Distance to go

2km - 1.2 km = 0.8km = 800m

Revolutions needed

800/2.5 = **320**

Find the missing side length. Leave your answer as a radical in the simplest form￼

Please help...no links

9514 1404 393

**Answer:**

x = y = 12

**Step-by-step explanation:**

A right triangle with a 45° angle is an isosceles right triangle. That means the legs are both the same length. The side ratios of such a triangle are ...

1 : 1 : √2

Multiplying these ratios by 12 gives ...

12 : 12 : 12√2 = x : y : 12√2

**The side lengths x and y are both 12 units**.

Nine people in a square

If there are nine people in a square, then there will be 3 rows and 3 columns.

Because 3² = 9 or √9 = 3

3 rows and 3 columns

what is 2/5 of 2/3 =

**Answer:**

**Step-by-step explanation:**

Answer:

.266666... or [tex]\frac{4}{15}[/tex]

Step-by-step explanation:

Multiply the numerator by the other numerator, in this case it would be 2 * 2, to get 4. This is your numerator for the answer.

Then do the same for the denominators. 5 * 3 is 15.

Therefore, your answer is [tex]\frac{4}{15}[/tex]

**Hope that this helps!**

Francesco built a box to store his baseball cards. The box is shown below.

Francesco needed more storage and built a similar box that was one-half of each the length, the width,

and the height of the first box. By what factor does the change in dimension between the two boxes

affect the volume?

ILL GIVE BRAINLIEST

**Answer:**

**Option B**

**Step-by-step explanation:**

Scale factor by which the dimensions of the new box was dilated = [tex]\frac{1}{2}[/tex]

In other words, dimension scale factor = [tex]\frac{1}{2}[/tex]

Relation between volume scale factor and dimension scale factor is,

Volume scale factor = (Dimension scale factor)³

Therefore, volume scale factor of the smaller box = [tex](\frac{1}{2})^3[/tex]

= [tex]\frac{1}{8}[/tex]

Since, volume scale factor = [tex]\frac{\text{Volume of the dilated figure}}{\text{Volume of the original figure}}[/tex] = [tex]\frac{1}{8}[/tex]

Therefore, volume of the smaller box = Volume of the larger box

**Option B** will be the answer.

7≥12−g solve for inequality

Plzz help me Its from khan academy

**Answer:**

g= 4 and g =5

**Step-by-step explanation:**

Answer: g = 5 and g = 6

Step-by-step explanation:

trust me </3

Show the number of 76 at least 2 ways?

76.000, 76, 76.0, 76.0000000, 76/1 (as a fraction)

NEED HELP ON MATH TEST ASAP!! Will give BRAINLY

Must show work on all problems!!

18. Area Of triangle is a=1/2bh

a=1/2 17*6

a= 1/2 102

a= 51

Area of rectangle

a=bh

a= 17*12

a= 204

Now add both together which is 255 and should be the answer

a=1/2 17*6

a= 1/2 102

a= 51

Area of rectangle

a=bh

a= 17*12

a= 204

Now add both together which is 255 and should be the answer

Two of the statements are true; one is a lie.

Select the one that is a lie.

Then explain your reasoning.

The measure of ∠CAF is 25 degrees.

∠DAE ≌ ∠FAB.

∠BAF and ∠EAB are complementary.

**Answer:**

The statement "[tex]\angle BAF[/tex] and [tex]\angle EAB[/tex] are complimentary" is **false**.

**Step-by-step explanation:**

Complimentary angles are defined by angles that add up to [tex]90^{\circ}[/tex]. Angles BAF and EAB represent one side of a line, which is [tex]180^{\circ}[/tex]. Therefore, they are actually supplementary and not complimentary. Thus, the statement "[tex]\angle BAF[/tex] and [tex]\angle EAB[/tex] are complimentary" is **false**.

Ardem collected data from a class survey he then randomly selected samples of five responses to generate for samples

**Answer:**

**Step-by-step explanation:**

look at picture

**Answer:**

i dont frickin know the answer

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the

time after launch, x in seconds, by the given equation. Using this equation, find the

time that the rocket will hit the ground, to the nearest 100th of second.

y = -16x^2+ 181x + 59

**Answer:**

The rocket will hit the ground after about 11.63 seconds.

**Step-by-step explanation:**

A rocket is launched from a tower. Its height *y* in feet after *x* seconds is modeled by the equation:

[tex]y=-16x^2+181x+59[/tex]

We want to determine the time at which the rocket will hit the ground.

If it hits the ground, its height *y* above the ground will be 0. So, we can set *y* = 0 and solve for *x:*

[tex]0=-16x^2+181x+59[/tex]

Solve the quadratic. Factoring is too tedious or impossible, and completing the square is also very tedious. So, we can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, *a* = -16, *b* = 181, and *c* = 59. Substitute:

[tex]\displaystyle x=\frac{-(181)\pm\sqrt{(181)^2-4(-16)(59)}}{2(-16)}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{-181\pm\sqrt{36537}}{-32}[/tex]

Simplify:

[tex]\displaystyle x=\frac{181\pm\sqrt{36537}}{32}[/tex]

Hence, our solutions are:

[tex]\displaystyle x=\frac{181+\sqrt{36537}}{32}\approx 11.63\text{ or } x=\frac{181-\sqrt{36537}}{32}\approx-0.32[/tex]

Since time cannot be negative, we can ignore the second solution.

So, the rocket will hit the ground after about 11.63 seconds.

x + 2y = 4

4x + 8y = 64

find how many solutions there is

**Answer:**

**No solutions**

**Step-by-step explanation:**

Multiply the top equation by 4

4x + 8y = 16

now both equations have the same left hand side

4x + 8y

but one equals 16 the other 64

Therefor: no solutions

**Answer:**

**Step-by-step explanation:**

Multiply the top equation by 4

4x + 8y = 16

now both equations have the same left hand side

4x + 8y

but one equals 16 the other 64

( simultaneous equations )

A patient has been instructed to drink a gallon of water each day. How many cups does the patient

need to drink?

Thank

**Answer:**

16 cups a day

**Step-by-step explanation:**

In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generates a random integer between 1 and 50. Explain how you could use this number to simulate the weather in the video game.

explain

**Answer: 35**

**Step-by-step explanation:**

It took lan three years to collect 25,413 aluminum cans to recycle. In the first year he collected 8,917 cans, and in the second year he collected 7.639 cans Which equation can be used to find x, the number of cans tan collected in the third year? A X = 25,413-8,917 - 7,639 B X = 25,413 +8,917 + 7,639 CX-8,917 +7,639 D 8,917-7,639

Answers:

1. 24 cans/lb x 15,000 lb/trailer = 360,000 cans/trailer

2. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 15,000 lb = $9,000

3. 15,000 lbs/trailer / 30 lbs/collector = 500 can collectors/trailer

4. 15,000 lbs/trailer / 800 lbs/bale = 18 complete bales (and 3/4 of another bale)/trailer

5. 24 cans/lb x 800 lb/bale = 19,200 cans / bale

6. 100 bales/boxcar x 800 lbs/bale = 80,000 lb. cans / boxcar

7. 100 bales/boxcar x 19,200 cans/bale = 1,920,000 cans / boxcar

8. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 80,000 lb/boxcar = $48,000/boxcar

Pick the right one.

Write an equation and solve:

Kiran is trying to save $144 to buy a new guitar. she has $34 and is going to save $10 a week from money she earns mowing lawns. she wants to know how money weeks it will take her to have enough money to purchase the guitar.

**Answer:**

11 weeks

**Step-by-step explanation:**

34+10x=144 equation

10x=110

x=11

check answer

11*$10=$110 money after 11 weeks at $10/week

+. 34 money saved

=. 144 money needed.

Convert the measurement indicated.

96 in to feet

96 in = 11 ft

foot ×12 =inch

here,

inch=96

foot=?

now

foot = inch /12

foot = 96/12

foot= 8 ft

Helpp plzz will mark brainleast

Answer:

It’s the second one

It’s the second one

**Answer:**

a d e

**Step-by-step explanation:**

hope this helps mark me brainleast :)

The spray from a spinning lawn sprinkler makes

a circle with a 40 foot radius. If Ben and his

friends what to play and get wet, how much

space do they have?

**Answer: **[tex]5027.2\ ft^2[/tex]

**Step-by-step explanation:**

Given

The radius of the circle is [tex]r=40\ ft[/tex]

The area of the circle is given by [tex]\pi r^2[/tex]

Insert the value of radius and get the area to play

[tex]\Rightarrow \text{Area A=}\pi \times 40^2\\\\\Rightarrow A=3.142\times 1600\Rightarrow A=5027.2\ ft^2[/tex]

Thus, the area to play is [tex]5027.2\ ft^2[/tex]

There are 6 blue marbles, 7 black marbles, 4 orange marbles, and 3 green marbles in a bag. Once a marble is drawn, it is replaced. Find

the probability of the outcome.

Find P(Blue, Orange, and then Green)

which one is the right answer:

9/1000

3/500

6/35

0

**Answer:**

Hello! answer 9/1000

**Step-by-step explanation:**

All you have to do is multiply the probability of each then you will get your answer so...

6/20 × 4/20 × 3/20 = 9/1000 So thats your probability. Hope that helps!

Help please ASAP thank you!! your awesome if you help

**Answer:**

Perimeter=56 units

Area =196 square unites

**Step-by-step explanation:**

The diagonal would be 14√2.

The formula for area using the diagonal is 1/2d².

1/2x(14√2)²=1/2x196x2=196

For perimeter, s²+s²=392

2s²=392

s²=196

s=√196

s=14

14x4=56

You try to explain the number of IBM shares traded in the stock market per day in 2005. As an independent variable you choose the closing price of the share. This is an example of A. invalid inference due to a small sample size. B. sample selection bias since you should analyze more than one stock. C. simultaneous causality.

**Answer:**

This is an example of

**C. simultaneous causality.**

**Step-by-step explanation:**

Simultaneous causality eliminates the conclusion that is often taken for granted to the effect that one variable is a response variable while the other is an explanatory variable because the two variables, the price and the number of shares, influence each other at the same time. When more shares are traded than demanded in the stock market in any day, the price tends to go down, and vice versa.

Q11. What should be subtracted from -5/3 to get -2/7?

0 29/21

O o C

- 21/29

- 29/21

O 21/29

-29/21 is the correct answer

i will give Brainiest if you are right

the area of the parallelogram is 80in

A =bh

A= 10(8)

A= 80 in^2

A =bh

A= 10(8)

A= 80 in^2

What is the probability of choosing a gray button replacing it and choosing a gray button ?

the answer is that you get the same outcome

Hey guys can you please help me?? Thank you!

The answer is 5 :)

44+51=95

180-95=85

85/17=5

answer: 5

44+51=95

180-95=85

85/17=5

answer: 5

**Answer:**

17x+44+51 = 180

x=5

**Step-by-step explanation:**

The angles in a triangle add to 180, so set up the equation by adding the measures of each angle on one side and putting 180 on the other side, then solve:

17x+44+51 = 180

17x+95=180

17x=85

x=85/17=5

Hope this helps :)

How many shapes can you make by taking plane sections from a sphere?

**Answer:**

One.

**Step-by-step explanation:**

Every possible plane section of a sphere will produce a circle.

Select the correct answer.

What is the value of this expression if a = -7 and b = -3?

a3 – b2

Α.

-352

B.

-30

C.

-334

D.

-12

The** value o**f this expression if a** = -7 and b = -3** is -**352**

Equation is an **expression** used to show the relationship between two or more **numbers or variables**.

Given that a = -7 and b = -3

Hence:

**a³ - b²**

Substituting the values of a and b:

= (-7)³ - (-3)²

**= -343 - 9**

Simplifying the equation:

**= -352**

a³ - b² = -352

The** value o**f this expression if a** = -7 and b = -3** is -**352**

Find out more on **Equation **at: https://brainly.com/question/13763238

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