What is the area of the trapezoid below?

What Is The Area Of The Trapezoid Below?

Answers

Answer 1

Answer:

A = 180 units²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

The triangle on the left is right with h = 24 (7- 24- 25 triangle )

Here h = 24, b₁ = 4 and b₂ = 7 + 4 = 11 , then

A = [tex]\frac{1}{2}[/tex] × 24 × (4 + 11) = 12 × 15 = 180 units²


Related Questions

Of the last 10 contestants on a game show, 8 won a prize. Considering this data, how many of the next 20 contestants would you expect to win a prize? contestants Submit Type the answer please or don't do it​

Answers

8/10 to find the probability of winning.
8/10 = 0.8
then multiply this by the number of contestants
0.8 * 20
this gives 16

4) x/5 =2
plz explain

Answers

Step 1: Multiply both sides by 5.

4x = 2
5
(4x) * (5) = (2) * (5)
5

4x = 10

Step 2: Divide both sides by 4.

4x = 10
4 4

Answer:

x = 5
2

the product of 5 and a number X is 22
i dont need what it equals

Answers

Inverse operations to the rescue!

So, you'd perform 22÷5 (product signals multiplication) to get your answer, 4.4. x=4.4

‼️ PLEASE HELPPPPP ‼️

Answers

the radius should be 4.51

100 POINTS AND BRAINLIEST

What is the common difference of the arithmetic sequence? −17, −13, −9, −5, −1

A) -17
B) -13
C) 4
D) -4

Answers

Answer:

The common difference is 4 or C on your test

Step-by-step explanation:

-17+4= -13

-13+4= -9

And so on...

Spider Rock is located in Canyon de Chelly National Park in Arizona. A surveyor stands 370 feet from the base of Spider Rock. From a point 5.5 feet above the ground, he measures the angle of elevation to the top of Spider Rock to be 65°. According to the surveyor's measurements, what is the height of Spider Rock? Round your answer to the nearest tenth. A. 178.0 ft. B. 340.8 ft. C. 413.7 ft. D. 799.0 ft.

Answers

Answer:

799 feet

Step-by-step explanation:

We solve using the Trigonometric function of Tangent.

tan theta = Opposite /Adjacent

From the above question, we have the height of the surveyor = 5.5 feet

theta = Angle of elevation = 65°

Adjacent = 370 feet

Let Opposite = height + height of spider rock

tan 65° = h - 5.5 /370 feet

Cross Multiply

tan 65° × 370 feet = h - 5.5

793.46756059 feet = h - 5.5

h = 793.46756059 feet + 5.5

h = 798.96756059 feet

Approximately = 799 feet

The height of the Spider rock = 799 feet

Two similar cylinders have heights of 3 cm and 6 cm respectively. If the volume of the smaller cylinder is 30 cm3, find the volume of the larger cylinder.Required to answer. Single line text.​

Answers

Answer:

Volume of big cylinder = 1,438.76 cm (Approx.)

Step-by-step explanation:

Given:

Height of smaller cylinder = 3 cm

Height of big cylinder = 6 cm

Volume of smaller cylinder = 30 cm³

Find:

Volume of big cylinder

Computation:

Volume of smaller cylinder = πr²h

(22/7)(r²)(3) = 30

Radius of small cylinder = 1.783 cm (Approx.)

So,

Radius of big cylinder = 1.783 x 2 = 3.566 cm (Approx.)

Volume of big cylinder = πr²h

Volume of big cylinder = (22/7)(3.566)²(6)

Volume of big cylinder = 1,438.76 cm (Approx.)

i dont get this at all pls help

Answers

Answer:

its B i think

After winning a soccer game, the coach took the team out for ice cream cones. He spent $21 on 12 single-scoop ice cream cones. If all the ice cream cones cost the same amount, what was the cost of one ice cream cone?

Answers

Answer:

Unitary cost= $1.75

Step-by-step explanation:

Giving the following information:

He spent $21 on 12 single-scoop ice cream cones.

To calculate the unitary cost, we need to use the following formula:

Total cost= number of units*unitary cost

Unitary cost= total cost / number of units

Unitary cost= 21 / 12

Unitary cost= $1.75

Which has a greater slope, a horizontal line or a vertical line?

A. A vertical line has no defined slope, so the comparison cannot be made.
B. Horizontal line
C. Vertical line
D. A horizontal line has no defined slope, so the comparison cannot be made.

Answers

Answer:

A

Step-by-step explanation:

The slope of a vertical line is undefined

The slope of a horizontal line is 0

Please answer this ASAP !!
Thank you (picture attached).

Answers

It is going through you

Answer:

y=12.25x

i cannot see the question but the slope will be the increase of the certain product

the y is the dependent factor that will increase due to the slope/x-intercept

Step-by-step explanation:

Which expression is not a polynomial?

Answers

12 is not a polynomial

Rewrite 2.7 ÷ 0.3 as a fraction.

Answers

Answer:

the answer is 9

check the picture for workings

the square of a negative number increased by 6 times the number is 72. Find the number.

Answers

Answer:

y = 6

Step-by-step explanation:

(y + 6) × y = 72

y = negative number²

When negative numbers are squared they become positive.

y = 6

Check

(6 + 6) × 6 = 72

12 × 6 = 72

The Jacksons and the Simpsons were competing in the final leg of the Amazing Race, which was 240240240 kilometers long. In their race to the finish, the Jacksons immediately took off traveling at an average speed of vvv kilometers per hour. The Simpsons' start was delayed by an hour. When they eventually took off, they traveled at an average speed that was 404040 kilometers per hour faster than the Jacksons' speed. Sadly for them, that didn't help, and the Jacksons won. Write an inequality in terms of vvv that models the situation.

Answers

Answer:

240/(v+40) + 1 > 240/v

Step-by-step explanation:

Both parties traveled a distance of 240 km.

Simpsons took off at average speed of 40 km/h & 1 hour later: 240/(v+40) + 1

Jacksons took off at average speed of v km/h:  240/v

An inequality in terms of v that models the situation is; [240/(v + 40)] + 1 > 240/v

How to write an inequality?

We are told that distance travelled by both Jackson and Simpson is 240 km each.

Jacksons took off at average speed of v km/h. Thus, their time taken is 240/v

The Simpsons took off at an average speed of 40 km/h faster than Jacksons Speed. Since their start was delayed by an hour, then;

Time taken = [240/(v + 40)] + 1

Thus, the inequality that models the situation is; [240/(v + 40)] + 1> 240/v

Read more about Inequality at; https://brainly.com/question/25275758

#SPJ6

the volume in cm³, of a cube of edge is 3cm is

Answers

Answer:

27 cm^3

Step-by-step explanation:

edge of cube = a = 3cm  

Volume of cube = a^3 = 3^3= 3×3×3 = 27 cm^3

sorry if im wrong plz  dont report

(hope this helps can i plz have brainlist :D hehe)

Solve for x. Give explanation

Answers

Answer:

x =  47 degrees.

Step-by-step explanation:

The angles in a triangle add up to 180 degrees, therefore:

x + 43 + 90 = 180

x = 180 - 43 - 90

x = 180 - 133

= 47 degrees.

Confused on this one help me solve for point B

Answers

Answer:

1,-1

Step-by-step explanation:

because section be is for +,-

Answer:

1,-1

Step-by-step explanation:

Please Help me out I just need the answers and pls make sure they are right idrc for an explantion​

Answers

1. 215.10

2. 57.60

3. 16.11

4. 8.24

5. 89.40

6. 149.10

7. 476

8. 48

9. 59.50

10. 13.49

10th term of 4, 7, 10, 13........ (Please enter number only)

Hint
Use a+(n-1)d

Answers

Answer:

31

Step-by-step explanation:

a + (n-1)d  where a = first term;  n = which number we want;  d = common difference.

=> 4 + (10 - 1)3

=> 4 + (9)*3

=> 4 + 27

=> 31

What is the slope of the line through ( 10, 1) and (0,4)?

khan Academy ​

Answers

Answer:

-1/2

Step-by-step explanation:

[tex]y^{2} = -4 \\y^{1} =-1\\x^{2} = 0\\x^{1} = -10[/tex]

Using the formula  [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]

[tex]\frac{-4-1}{0-(-10)}[/tex]  

Simplifly

[tex]\frac{-5}{10} = \frac{-1}{2}[/tex]

**EASY**

Determine the intercepts of the line -

2x + 5y = -6


Y-intercept: (_ , _)

X-intercept: (_ , _)

Answers

The answer is
X intercept : -3,0
Y intercept: 0, -6/5
The answer is y-intercept: (0, -6/5) and X-intercept: (-3, 0)

Calculate the surface area of the square pyramid below.





yd2

Answers

Answer:

155

Step-by-step explanation:

Percy wrote a total of 15 pages over 5 hours. After spending 6 hours writing this week, how many pages will Percy have written in total? Assume the relationship is directly proportional. pages

Answers

15 pages in 5 hours equals 3 pages in 1 hour
6 times 3 equals 18

he wrote 18 pages this week

Find the 53rd term of the arithmetic sequence -12, -1, 10

Answers

440 is the answer

Tn=a+(n-1)d

Tn=53

a= -12

n=53

d= 11

-12+(53-1)11 = 440

Answer:

560

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

Since we're finding the 53rd term

a = - 12

n = 53

d = -1 - ( -12) = - 1 + 12 = 11 or 10--1 = 10 +1 =11

d = 11

So we have

A(53) = - 12 + (11)(53 - 1)

= - 12 + 11(52)

= -12 + 572

= 560

We have the final answer as

560

Hope this helps you

PLEASE HELP!!!
25 POINTS

Answers

answer:
1=103
2=77°
3=103°
4=77°
5=103°
6=77°
7=103°
8=77°

What is the equation of the line with slope −3 and y-intercept 6? Express your answer in slope-intercept form.

A. y = 3x + 6
B. y = −3x − 6
C. y = −3x + 6
D. y = 3x − 6

Answers

Answer:

C. y = -3x +6

Step-by-step explanation:

y = mx + b

m= slope = -3

b = y-intercept = 6

y = -3x + 6

Using the slot method and multiple cases, calculate the probability that you would roll 3 sixes with four standard dice.

Answers

Answer:

[tex]Pr = \frac{1}{216}[/tex]

Step-by-step explanation:

 The sample space of a single dice is:

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

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

Required:

The probability of rolling 3 sixes

In a sample space of a roll of die, we have:

[tex]n(6) = 1[/tex]

In a roll of dice, the probability of rolling a 6 is:

[tex]P(6) = \frac{n(6)}{n(S)}[/tex]

[tex]P(6) = \frac{1}{6}[/tex]

In 3 rolls, the probability is:

[tex]Pr = P(6)^3[/tex]

[tex]Pr = [\frac{1}{6}]^3[/tex]

[tex]Pr = \frac{1}{216}[/tex]

Someone look at the photo and answer I need help

Answers

Step-by-step explanation:

To find the composite function, it says

[tex](f \: o \: g)(x)[/tex]

means we put the function g(x) into f(x) so that means it looks like

[tex]( \sqrt{x}) {}^{2} - 4[/tex]

Which equal

[tex]x - 4[/tex]

So that expression above is the answer.

To find the range we must find the range of the inner function ,(g(x) and then see which parts it corresponds of f(x).

The range of a g(x) which is a radical function is all real numbers.

The range of a f(x) which is a quadratic function is all real numbers greater than or equal to -4.

This means for our function to work we can use any numbers as long as it greater than -4.

So we would represent that as x is all real numbers as long as x is greater than or equal to -4

In interval notation this would be

[-4,+ infintiy)

Hello :”) how to do 5(a)?

Answers

Answer:

[tex] f'(x) = \frac{sin( \frac{1}{x}) }{ {x}^{2} } [/tex]

Step-by-step explanation:

Please see the attached picture for the full solution.

• Differentiate cosine

• Then multiply it with the derivative of the term inside the bracket

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