What is the area of triangle QRS?
7 square units
9 square units
10 square units
13 square units

Answers

Answer 1
Circumscribing a rectangle around the triangle SQR, as shown in the figure, we see that the rectangle has dimensions 3 by 6, so its area is 18 square units.


We can also see that the area between the rectangle and the triangle SQR consists of 3 right triangles with dimensions 2 by 3; 6 by 2, and 1 by 4.

The area of there 3 triangles is (2*3)/2 + (6*2)/2 +(1*4)/2 = 3+6+2=11. 


Thus, the area of the triangle is what is left from removing the areas of the 3 surrounding triangles from the area of the rectangle:

A(SQR)=18-11=7 (square units).


Answer: 7 square units

Answer 2

Answer:

A 7

Step-by-step explanation:


Related Questions

Please help me!!!!!

Answers

Answer: is answer b

Step-by-step explanation:

Answer: The answer is B

Step-by-step explanation:I did the quiz

Noah paid off a loan with a simple interest rate of 9.7% in 4 months. What was the APR?
29.1%
3.23%
2.43
15.5%
9.7%

Answers

Answer:

9.7% for 4 months = 9.7 * 3 = 29.1% for the year.

Step-by-step explanation:

What’s the correct answer for this?

Answers

Answer:

2 is the answer according to me

Please solve this !!! ASAP !!!

Answer the picture below.Please ignore the blue dot that was a miss click.

Answers

the answer is

48 2/9 ft.

I did the equation for it

Which is not an example of a triangular prism?
Camping tents
Roofs
a shoebox
a skateboard ramp

Answers

Answer:

a shoe box

Step-by-step explanation:

i'm not 100% sure but isn't a shoe box rectangular?

Use the graph to estimate the solution of the system.
x + 2y = 5,
-x + 3y = 6
Which integers is the x-value between?
What is the x-value to the nearest tenth?
Which integers is the y-value between?
What is the y-value to the nearest tenth?

Answers

Answer:

x is between 0 and 1

x is almost 0.5

y is between 2 and 3

y is almost 0.2

Answer:

1st answer: 0 and 1

2nd answer: about 0.6

3rd answer: 2 and 3

4th answer: about 2.2

Step-by-step explanation:

I got it correct! Edge 2021:)

Mr. Suárez wants to paint his storage shed. He needs to calculate the lateral surface area of the shed so that he will know how much paint to buy. The shed is in the shape of a rectangular prism with the dimensions shown below. Including the doors, what is the lateral surface area of the storage shed in square feet? 784 ft2 266 ft2 532 ft2 336 ft2

Answers

Answer:

Lateral surface area of the storage shed = 336 ft²

Step-by-step explanation:

The picture is the complete question.

The shed is in the shape of a rectangular prism. The lateral surface area of the storage shed can be calculated below. The lateral area is the sides of the prism.

lateral area of a rectangular prism = 2h (l + w)

where

l = length

h = height

w = width

h = 8 ft

l = 14 ft

w = 7 ft

lateral area of a rectangular prism = 2h (l + w)

lateral area of a rectangular prism = 2 × 8 × (14 + 7)

lateral area of a rectangular prism = 16 (21)

lateral area of a rectangular prism = 336 ft²

Lateral surface area of the storage shed = 336 ft²

Least multiple of 5 and 25

Answers

Answer:

  25

Step-by-step explanation:

25 is a multiple of 5, so is the least multiple of both 5 and 25.

Answer:

Hey there!

That would be 25.

Hope this helps :)

which list orders the anglesof trangle abc smallest to largest...ab=130 and ac=120 and bc=180

Answers

Answer:

I think goes 130 and then  180 then 120 it's need to be to have an angle i think.  

Step-by-step explanation:

Because it's a-c so abc is 120  

a-b is 130 and b-c it's gona be 180  

I might be wrong but i have 2 answer 120 130 180 or

130 180 120.

Solve:
[tex]{2x}^{2} + x - 3 = [/tex]

Answers

Actually it has 3 method to solve this question, but I just show 2 method . Method 1 is just pressing your calculator. Method 2 is using the formula. The method that I didn’t show is completing the square method(CTS method)

What is the median number of carrots in a one-pound bag?

Answers

Answer:

To find the medium order the numbers from least to greatest. Then each time cross off one number from the left side and the right. When you get down to 1 or you have 2 left those are your medians. If you have 2 numbers add them up and divide them by 2. If you have 1 that is your medium. Hope this helps. The median is 70.

Step-by-step explanation:

Write the equation in standard form and then find the center (h, k) and
x^2+8x+ y2 + 4y - 5= 0

Answers

Answer:

Center is at (-4, -2) and the radius = 5.

Step-by-step explanation:

Convert to Standard form:

x^2 + 8x + y2 + 4y - 5= 0  

Completing the square:

(x + 4)^2 - 16 + (y + 2)^2 - 4 = 5

(x + 4)^2 + (y + 2)^2  = 5 + 16 + 4

(x + 4)^2 + (y + 2)^2  = 25

(x - h)^2 + (y - k)^2 = r^2     Comparing:-

The center is at (-4, -2) and the radius = 5.

Convert the angle θ = 3 π 5 θ= 5 3π ​ theta, equals, start fraction, 3, pi, divided by, 5, end fraction radians to degrees.

Answers

Answer: 3pi/5 and 5/3pi?

Step-by-step explanation:

Answer:

Step-by-step explanation:

3pi/5 * 180/pi

3/5 * 180/1

3/1 * 36

3*36

108 degrees

5/3pi * pi/180

5/3 * 1/180

1/3 * 1/36

1/108

200 students, which was 40% of the 7th graders said that the dress code was an important issue at school. How many students are in the 7th grade?

Answers

Answer:

there are 80 students

Step-by-step explanation:

Negative numbers have positive square roots.
O A. True
B. False

Answers

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

negative numbers can't have square roots

The president of a university claimed that the entering class this year appeared to be larger than the entering class from previous years but their mean SAT score is lower than previous years. He took a sample of 20 of this year's entering students and found that their mean SAT score is 1,501 with a standard deviation of 53. The university's record indicates that the mean SAT score for entering students from previous years is 1,520. He wants to find out if his claim is supported by the evidence at a 5% level of significance. Referring to Scenario 9-9, what is the critical value

Answers

Answer:

Step-by-step explanation:

To test the hypothesis is the mean SAT score is less than 1520 at 5% significance level

The nul hypothesis is

[tex]H_0; \mu \geq 1520[/tex]

The alternative hypothesis is

[tex]H_0 ; \mu\leq 1520[/tex]

The test statistic is

[tex]t=\frac{\bar x- \mu}{(\frac{s}{\sqrt{n} } )}[/tex]

[tex]t= \frac{1501-1520}{(\frac{53}{\sqrt{20} } )} \\\\=-1.603[/tex]

The t - test statistics is -1.603

The t - critical value is,

The small size is small and left tail test.

Look in the column headed [tex]\alpha = 0.05[/tex] and the row headed in the t - distribution table by using degree of freedom is,

d.f = n - 1

= 20 - 1

= 19

The t - critical value is -1.729

The conclusion is that the t value corresponds to sample statistics is not fall in the critical region, so the null hypothesis is not rejected at 5% level of significance.

there is insignificance evidence ti indicate that the mean SAT score is less than 1520. The result is not statistically significant

Answer:

Critical value = -1.729

Step by Step explanation:

Given:

n = 20

X' = 1501

Standard deviation = 53

Mean, u = 1520

Level of significance, a = 0.05

The null and alternative hypotheses:

H0 : u = 1520

H1 : u < 1520

This is a lower tailed test.

Degrees of freedom, df = 20 - 1 = 19

For critical value:

[tex]t critical = - t_a, _d_f [/tex]

From t table df = 19, one tailed

[tex]t critical = -t _0._0_5, _1_9 = -1.729[/tex]

Critical value = -1.729

Decision: Reject null hypothesis H0, if test statistic Z, is less than critical value.

Test statistic Z =

[tex] Z = \frac{X' - u}{\sigma / \sqrt{n}} [/tex]

[tex] Z = \frac{1501 - 1520}{53/ \sqrt{20}}= -1.603[/tex]

Z = -1.603

For p-value:

From excel,

P(t< -1.603) = t.dist( -1.603, 19, 1)

= 0.06269

≈ 0.0627

P value = 0.0627

Since test statistic Z, -1.603, is greater than critical value, -1.729, we fail to reject the null hypothesis H0.

There is not enough statistical evidence to conclude that mean is less than 1520.

Question 2(Multiple Choice Worth 5 points)
(03.09 LC)
What is the default view in a Word document?
O Copy View
O Editing View
O Paste View
O Reading View​

Answers

Answer:

EDITING VIEW

Step-by-step explanation:

What is the volume of a box with length
1 m, width 8 m, and depth 6 m?

Answers

Answer:

Here is the answer mate. Hope it helps. Please rate my answer and mark as brainlist if you find it helpful.

Answer:

[tex] = 48 {m}^{3} [/tex]

Step-by-step explanation:

[tex]volume = l \times w \times b \\ = 1 \times 8 \times 6 \\ = 48 {m}^{3} [/tex]

Ty’s experimental probability of winning a certain game is 1/3. Jana’s expiremental probability of winning the same game is 3/4. If Ty and Jana each played the game 120 times, how many more games would Jana expect to win over Ty?

Answers

Answer:

Jana is expected to win 40 more games over Ty.

Step-by-step explanation:

If Ty plays the game 120 times, he is expected to win in 1/3 part of 120 games, which is ( 1/3 * 120 =) 40 games.

If Jana plays the game 120 times, she is expected to win in 2/3 part of 120 games, which is ( 2/3 * 120 =) 80 games.

If Jana is expected to win 80 times an Ty is expected to 40 times, then Jana is expected to win ( 80 - 40 =) 40 more games over Ty.



4 number lines. Graph A goes from 95 to 100. An open circle is at 98 and everything to the right is shaded. Graph B goes from negative 74 to negative 69. An open circle is at negative 72 and everything to the right is shaded. Graph C goes from negative 100 to negative 95. An open circle is at negative 98 and everything to the left is shaded. Graph D goes from negative 74 to negative 69. An open circle is at negative 72 and everything to the left is shaded.

Which graph is the solution to the inequality?

y - 13 > -85

13 < -85 + y

y + 13 < -85

Answers

Answer:

B A C

Step-by-step explanation:

It is what it is

Answer:

4 number lines. Graph A goes from 95 to 100. An open circle is at 98 and everything to the right is shaded. Graph B goes from negative 74 to negative 69. An open circle is at negative 72 and everything to the right is shaded. Graph C goes from negative 100 to negative 95. An open circle is at negative 98 and everything to the left is shaded. Graph D goes from negative 74 to negative 69. An open circle is at negative 72 and everything to the left is shaded.

Which graph is the solution to the inequality?

y - 13 > -85

✔ B

13 < -85 + y

✔ A

y + 13 < -85

✔ C

Step-by-step explanation: edgunity!

hope this helps! :)

In how many different ways can a person select one book from 3 novels, one book from 5 biographies and one book from 7 self-help books?

a). 15

b). 105

c). 3

d). 22

Answers

Answer:

[tex] Ways = 3*5*7= 105[/tex]

And that's equivalent to:

[tex] Ways= (3C1) (5C1) (7C1) =3*5*7=105[/tex]

Where C represent the term combinatory defined as:

[tex] nCx = \frac{n!}{x! (n-x)!}[/tex]

And then the number of ways to select the three books are 105, and the best option would be:

b). 105

Step-by-step explanation:

For this case we can use the multplication principle of counting or sometimes called the product rule.

We have a total of 3 novels, 5 biographies and 7 self-help books. And we can find the number of ways that a person can select the three books with theis product:

[tex] Ways = 3*5*7= 105[/tex]

And that's equivalent to:

[tex] Ways= (3C1) (5C1) (7C1) =3*5*7=105[/tex]

Where C represent the term combinatory defined as:

[tex] nCx = \frac{n!}{x! (n-x)!}[/tex]

And then the number of ways to select the three books are 105, and the best option would be:

b). 105

We want to see in how many different ways a person can select one book from 3 novels, one book from 5 biographies and one book from 7 self-help books, the correct option is b: 105.

To get the numbe of different ways, the first thing we need to do is find the selections.

Here we have 3 selections:

Novel selection.Biography selectionSelf-help selection.

Now we need to find the number of options for each of these selections, and just multiply the numbers of options.

we have:

Novel selection: 3 optionsBiography selection: 5 optionsSelf-help selection: 7 options

Number of different ways of selecting = 3*5*7 = 105

So the correct option is b.

If you want to learn more, you can read:

https://brainly.com/question/3349431

The sum of four consecutive integers is -10. What are the integer

Answers

Answer:

see below

Step-by-step explanation:

Let x be the first integer

x+1 is the next integer

x+2 = next integer

x+3 = last integer

The sum of the 4 integers is -10

x+ x+1 + x+2  + x+3 = -10

Combine like terms

4x+6 = -10

Subtract 6 from each side

4x+6-6 = -10-6

4x = -16

Divide each side by 4

4x/4 = -16/4

x = -4

x+1 = -3

x+2 = -2

x+1  =-1

The integers are -4, -3, -2 ,-1

a man owned 75 shares of stock worth $50 each the corporation declared a dividend of 8% payable in stock how many shares did he then own

Answers

Answer:

81 shares

Step-by-step explanation:

Data provided in the question

Number of shares owned = 75 shares of stock

Per share value = $50

Dividend declared = 8%

Based on the above information. the number of shares owned is

[tex]= Number\ of \ shares\ owned \times dividend\ declared\ percentage + Number\ of \ shares\ owned[/tex][tex]= 75\shares \times 8\% + 75\shares[/tex]

= 81 shares

We simply added the number of shares owned and the number of shares owned after considered the dividend declared percentage so that the correct shares owned could arrive

This test is gonna be the end of me lol

Answers

Answer:

WC

Step-by-step explanation:

Write an equation that best represents the line

Answers

Make a equation by looking at the y axis and the x axis and make a problem up

Use the drop-down menus to answer the questions.


What is the probability that a randomly chosen tenth-grader is male?

Answers

Answer:

Step-by-step explanation:

The information given is not enough to determine the probability.

Given the number of male tenth-grader, and the number of all tenth-grader, the probability will then be: (number of male tentg-grader) divided by (the total number of students).

Answer:

What is the probability that a randomly chosen tenth-grader is male?  

✔ 80/154

What is the probability that a randomly chosen tenth-grader is male given that the tenth-grader prefers geometry?  

✔ 47/87

Are the events “male” and “geometry” independent?  

✔ no, P(male) does not equal P(male | geometry)

Step-by-step explanation: These are the answers for edge 2020

A car manufacturer has a failure rate in their oil gasket of 2%. What is the probability that , of 1200 cars built, 50 will develop a failure in the gasket?

Answers

Answer:

4%

Step-by-step explanation:

4% hope this helps

Please give me Brainly

If f(x)=x^3 and g(x) = 2x+7, what is g(x) when x =2

Answers

Answer:

g(2)=11

Step-by-step explanation:

We want to find g(x), or y, when x is equal to 2. We have the equation:

g(x)=2x+7

We know that x=2, so we can substitute 2 in for x.

g(2)=2(2)+7

Multiply 2 and 2 first

g(2)=4+7

Add 4 and 7

g(2)=11

Answer:

Yes 11 is the right answer

Step-by-step explanation:

Let s be the solid obtained by rotating the region shown in the figure about the y-axis (Assume a = 5 and b = 2)


Sketch a typical approximating shell.


What are its circumference c and height h?


c(x) =


h(x) =


Use shells to find the volume V of S.


V =

Answers

Answer:

see attached for a figurec(x) = 2πxh(x) = 5x(x -2)^2V = 32π/3

Step-by-step explanation:

The volume is the summation of the volumes of the shells. The volume of a shell is its circumference ...

  c(x) = 2πx

multiplied by its height ...

  h(x) = 5x(x -2)^2

and its thickness, dx.

That summation is the integral ...

  [tex]\displaystyle V=\int^2_0 {2\pi x(5x)(x-2)^2} \, dx=10\pi\int^2_0 {(x^2-2x)^2} \, dx=10\pi\left(\dfrac{2^5}{5}-\dfrac{4(2^4)}{4}+\dfrac{4(2^3)}{3}\right)\\\\\boxed{V=\dfrac{32\pi}{3}}[/tex]

The circumference of the shell  is c(x) = 2πx

The height of the shell is [tex]h(x) = 5x(x-2)^{2}[/tex]

The required volume of the shell is [tex]\frac{32\pi}{3}[/tex].

Given that,

S be the solid obtained by rotating the region,

Where, a = 5 and b =2

We have to determine ,

What are its circumference c and height h.

According to the question,

The volume is the summation of the volumes of the shells. The volume of a shell is its circumference ,

          c(x) = 2πx

And the height of the shell.

          [tex]h(x) = 5x(x-2)^{2}[/tex]

The volume of the shell is given by,

[tex]V = \int (circumference) \ )(height )\ . dx\\\\[/tex]

Where dx thickness of the shell.

Substitute the value in the equation,

[tex]v = \int\limits^2_0 {2\pi x .(5x) (x-2)^{2} }\, dx\\\\v = \int\limits^2_0 {10\pi x^{2} (x-2)^{^{2}} \ d x\\\\\\v =10\pi \int\limits^2_0 {x^{2}.(x^2+4-4x)} \, dx \\\\V = 10\pi \int\limits^2_0( {x^{4} + 4x^{2} - 4x^{3}) \, dx[/tex]

[tex]v = 10\pi \ [ \dfrac{x^{5}}{5} + \dfrac{4x^{3}}{3} - x^{4}]^{2}_0\\\\v = 10\pi [ \dfrac{2^{5}}{5} + \dfrac{4.2^{3}}{3} - 2^{4} - \dfrac{0^{5}}{5} -\dfrac{4.0^{3}}{3} + 0^{4}]}\\\\v = 10\pi \ [ \dfrac{32}{5} + \dfrac{32}{3} - 16 -0-0+0]\\\\v = 10\pi [\dfrac{96+160-240}{15}]\\\\v = 10\pi [\dfrac{16}{15}]\\\\v = \dfrac{32\pi }{3}[/tex]

Hence, The required volume of the shell is [tex]\dfrac{32\pi}{3}[/tex].

To know more about Integration click the link given below.

https://brainly.com/question/16649904

What is the volume of the pyramid?

A solid oblique pyramid has an equilateral triangle as a base

with an edge length of 4/3 cm and an area of 12/3 cm.

O 12/3 cm3

16/3 cm

24/3 cm3

32/3 cm3

Answers

Answer:

16/9 cm³

Step-by-step explanation:

Volume of a triangular pyramid = 1/3 * Base area * height

Given the Base area = area of the equilateral triangle = 12/3 cm

Height of the pyramid = length of its edge = 4/3 cm

Substituting this values in the formula we have;

V = 1/3 * 12/3 * 4/3

V = 48/27

V = 16/9 cm³

The volume of the given triangular pyramid is; B: 16/3 cm²

What is the Volume of the Pyramid?

Formula for volume of a triangular pyramid is;

V = ¹/₃ * Base area * height

We are given;

Base area = area of the equilateral triangle = 12 cm²

Height of the pyramid = length of its edge = 4/3 cm

Thus;

V =  ¹/₃ * 12 * (4/3)

V = 16/3 cm³

Read more about Volume of Pyramid at; https://brainly.com/question/16203922

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In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 329 trials, the touch therapists were correct 154 times. a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses?b. Using Emily's sample results, what is the best point estimate of the therapists' success rate?c. Using Emilys sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists. Which inequality is true if p=3.43p2.5 How do you view this decision's impact on election reform and free speech? 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