find the volume of A trapezoid prism of height 4Km.The parallel sides of the base have length 8km and 5km. The other sides of the base are 2km each. The trapezoid altitude is 1.5km.

Answers

Answer 1

Answer:

Volume of prism = 39 km cubed

Step-by-step explanation:

IMPORTANT FORMULA: Volume of any prism = Area of base * Height

In this case, the area of the base means the area of the trapezoid.

Area of trapezoid = base1+base2/2  * height

Area of trapezoid = 8+5/2  * 1.5

Area of trapezoid = 13/2  * 1.5 = 9.75

We already know that the height of the trapezoidal prism is 4 kilometers.

So, we have all of the values that are needed to correctly fill in the formula.

Volume of the prism = 9.75 * 4 = 39  


Related Questions

Classify each triangle as a right triangle or not a right triangle. Have a great day!

Answers

Answer:

This is not a right triangle

Step-by-step explanation:

the bottom and side would have to be equal

Need this done tonight please help!

Answers

for the first one I think it’s 127/2


Lin's father is paying for a $25 meal. He has a 15%-off coupon for the meal. After the discount, a 8% sales tax is applied.
What does Lin's father pay for the meal?


Solve for 20 points and show work

Answers

the total would be $22.95
first you would find 15% as a decimal

then take the decimal and multiply it by the total amount needed to pay

the find the sales tax percent as a decimal
multiply that decimal by the product found earlier

add the two products found together to get your new total
$25x.85=$17+17(.08)=18.36

Please help is for now

Answers

3 because I did the quiz and got it right txt me if you need help

Answer:

3 is write I've told to sir and he told write

Given the function
f (x) = 3x2 + 2x – 5, what is the value of f(10)?

Answers

Answer:

315

Step-by-step explanation:

x = 10, so substitute 10 into the equation!

3(10)² + 2(10) - 5

3(100) + 20 - 5

300 + 20 - 5

315

⚠️❗️⚠️❗️⚠️❗️25 POINTS PLEASE HELP ME FIND THE AREA⚠️❗️⚠️⚠️❗️⚠️❗️


Trolls will be reported

Answers

Answer:

178

Step-by-step explanation:

area of big rectangle : 143

area of small rectangle:20

area of triangle : 15

143+20+15= 178

How much work is done lifting a 35 pound object from the ground to the top of a 25 foot building if the cable used weighs 2.5 pounds per foot

Answers

Answer:

3400 ft-lbs

Step-by-step explanation:

The Workdone in lifting the rope :

Number of feet = x

Distance = 25 feets

2.5x + 35

Taking the integral :

∫2.5x + 35 dx at x = 40

Integrating, we have :

1/2(2.5x² ) + 35x at x = 40

1/2(2.5(40)²) + 35(40)

1/2(4000) + 1400

2000 + 1400

= 3400

Hence, Workdone in lifting the rope = 3400 ft-lbs

Find the measure of the arc indicated.

Answers

Answer:

option 3

hope youre online exam will be easy

Step-by-step explanation:

the problem has two parts. thank you <3

Answers

The co ordinates of D should be (7,2)

Please answer this for me!!

Answers

Answer:

$17.95

Step-by-step explanation:

Subtract 6.15 from 60.00

That gives you 53.85

Now divide that by 3

And you get 17.95

Answer:

$17.95

Step-by-step explanation:

d = number of dog pillows

3d + 6.15 = 60

3d = 53.85

d = 17.95

Therefore, each dog pillow cost $17.95.

does anyone know w(t) = 3t - 1, w(-4.2) ?

Answers

Answer:

w(-4.2) = 3(-4.2) -1 = -12.6 - 1 = -13.6

Step-by-step explanation:

The w(-4.2) is your t so you substitute it in your expression which means you get 3(-4.2) -1 and that gives you -13.6.

Calculate the slope of the line that contains the points: (2, -3) and (6, -3)

Answers

Answer:

[tex]\displaystyle m = 0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (2, -3)

Point (6, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{-3- -3}{6- 2}[/tex][Fraction] Subtract:                                                                                           [tex]\displaystyle m = \frac{0}{4}[/tex][Fraction] Divide:                                                                                              [tex]\displaystyle m = 0[/tex]

Belle will randomly select two cards without replacement what is the probability that both will choose two hearts​

Answers

The probability that Belle will select two hearts is 2/15.

To find the probability of Belle selecting two hearts, we need to calculate the probability of selecting a heart on the first draw and then, given that the first card was a heart, the probability of selecting another heart on the second draw.

Total number of cards = 3 (star cards) + 4 (hearts cards) + 3 (spade cards) = 10 cards

Probability of selecting a heart on the first draw = 4 (hearts cards) / 10 (total cards) = 2/5

After selecting a heart on the first draw, there will be 9 cards remaining, with 3 hearts cards left.

Probability of selecting a heart on the second draw, given that the first card was a heart = 3 (hearts cards) / 9 (remaining cards) = 1/3

To find the probability of both events happening (selecting two hearts), we multiply the probabilities:

Probability of selecting two hearts = (2/5) x (1/3) = 2/15

Therefore, the probability that Belle will select two hearts is 2/15.

To learn more about the probability;

brainly.com/question/11234923

#SPJ1

Help me please :(((((

Answers

Answer:

Step-by-step explanation:

[tex]\frac{-2}{3}[/tex]n=12

-2n=12*3

n=36/-2

n=-18

Use the​ F-scale measurements of tornadoes listed in the accompanying table. The range of the data is 4.0. Use the range rule of thumb to estimate the value of the standard deviation. Compare the result to the actual standard deviation of the​ data, 1.0.
3
2
3
2
1
1
0
1
2
3
1
1
1
2
2
2
2
0
1
2
1
0
0
1
0
0
2
0
2
2
1
0
0
0
1
0
1
2
3
2
0
2
2
0
0
0
1
0
0
0
0
0
1
0
0
1
1
0
0
1
0
0
2
0
0
0
0
0
1
2
4
0
1
0
0
0
0
2
2
0
1
1

1
2
1
0
0
2
0
2
0
2
2
2
0
0
4
0
Compare the result to the actual standard deviation.
The estimated standard deviation is________(within 0.5 of, over 0.5 less than, over 0.5 greater than) the actual standard deviation.​ Thus, the estimated standard deviation_________(is, is not) substantially different from the actual standard deviation.

Answers

Answer:

Within 0.5 of ;

is not ;

Step-by-step explanation:

Given the data:

The actual standard deviation, = 1

;

The range rule of thumb to estimate the value if standard deviation is ;

Estimated standard deviation = Range / 4

The range = (maximum - minimum) values

The estimated standard deviation = 4 / 4 = 1

Hence, the estimated standard deviation is with 0.5 of the actual standard deviation, Thus, the estimated standard deviation is not substantially different from the actual standard deviation.

calculate the volume of each cone. Use 3.14 for π. Round the answer to the nearest hundredth if necessary.​

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]113.04\text{in}^3[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻  

[tex]\boexd{\text{The Volume of a Cone is...}}\\\\V=\pi r^2\frac{h}{3}\\\\\boxed{\text{Key:}}\\\\r - \text{radius}\\h- \text{height}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Volume:}}\\\\V = (3.14)6^2\frac{3}{3}\\\\V=(3.14)36\frac{3}{3}\\\\V=\boxed{113.04}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

f(x) = 3x + 4 is y =

Answers

Here’s the thing whatever

SOLVE FOR M. please :)
- 3/7 m = 12

m = -28

m = -26

m = 26

m = 28​

Answers

Answer:

[tex]m = - 28[/tex]

Step-by-step explanation:

[tex] \frac{ - 3}{7} m = 12[/tex]

[tex] \frac{ - 7}{3} ( \frac{ - 3}{7})m = \frac{ - 7}{3} \times 12[/tex]

[tex] \frac{ - 1}{3} ( - 3)m = \frac{ - 7}{3} \times 12[/tex]

[tex] - 1( - 1)m = \frac{ - 7}{3} \times 12[/tex]

[tex]1 \times m = \frac{ - 7}{3} \times 12[/tex]

[tex]m = \frac{ - 7}{3} \times 12[/tex]

[tex]m = \frac{ - 7}{3} \times 12[/tex]

[tex]m = \frac{ - 7}{3} (3 \times 4)[/tex]

[tex]m = - 28[/tex]

Hope it is helpful....

Bonus 6: Find the Total Area 10 11.4 18 1 9 24​

Answers

9514 1404 393

Answer:

  1328.4 square units

Step-by-step explanation:

The total surface area is the sum of the areas of the trapezoidal bases, and the areas of each of the four rectangular faces.

The area of each trapezoidal base is ...

  A = 1/2(b1 +b2)h

  A = 1/2(10 +24)(9) = 153 . . . . square units

__

The total area of the four rectangular faces is ...

  A = bh . . . . area of one face

  A = 11.4(18) +10(18) +11.4(18) +24(18) = (11.4 +10 +11.4 +24)(18) = 1022.4

So, the total area is ...

  SA = 2×base area + face area

  = 2×153 +1022.4 = 1328.4 . . . . square units

Calculate the volume of the triangular pyramid below.

Answers

Answer:

90

Step-by-step explanation:

1/2x10x3.6=18

18x5=90

Which inequality represents all values of x for which the product below is defined ?

Answers

Answer:

x ≥6

Step-by-step explanation:

Given the product:

√(x-6)*√(x+3)

The function has to be defined if x ≥0

Hence;

√(x-6)*√(x+3)≥0

Find the product

√(x-6)(x+3)≥0

Square both sides

(x-6)(x+3)≥0

x-6≥0 and x+3≥0

x≥0+6 and x ≥0 - 3

x ≥6 and x ≥-3

Hence the required inequality is x ≥6

Answer:

B. x>/ 6

Step-by-step explanation:

A P E X

In triangle RST, mZR> m_S+ m2T. Which must be true of triangle RST? Check all that apply.
O mzR > 90°
OmZS + m2T < 90°
Om S = m_T
mZR>m_T
mZR > m_S
mzS>m_T

Answers

Answer:

m∠R > 90°

m∠S + m∠T < 90°

m∠R > m∠T

m∠R > m∠S

Step-by-step explanation:

Here, RST is a triangle

Therefore, m∠R+m∠S+m∠T = 180° ⇒ m∠S+m∠T = 180° - m∠R

Given: m∠R > m∠S + m∠T

⇒ - m∠R < - (m∠S + m∠T) (by multiplying -1 on both sides)

⇒ 180° - m∠R < 180° - (m∠S + m∠T) (by adding 180° on both sides)

⇒ m∠S+m∠T < 180° - (m∠S + m∠T)

⇒ m∠S+m∠T+m∠S+m∠T < 180° (by adding m∠S + m∠T on both sides)

⇒ 2(m∠S+m∠T) < 180°

⇒ m∠S+m∠T < 90°

m∠R > 90° ( because m∠R+m∠S+m∠T=180° )

Again, m∠R > m∠S + m∠T

m∠R > m∠S and m∠R > m∠T

Thus, Option first, second, fourth and fifth are correct.

What is the solution to this equation?
17.56 = 29.01 - 5x

Answers

Answer:

2,29

Step-by-step explanation:

17,56 = 29,01 - 5x

5x = 29,01 - 17,56

5x = 11,45|:5

x = 2,29

Answer:

x =2.29

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Caroline weighs 41,390,000 milligrams and her baby sister weighs 3,415 grams. What is their total weight in kilograms?
A. 4.4805 kg
B. 448.05 kg
C. 44.805 kg
D. 4480.5 kg

Answers

Answer:

C. 44.805

Step-by-step explanation:

41,390,000 milligrams is 41.39 in kilograms and then 3,415 grams in kilograms is 3.415 so add those up 41.39+ 3.415= 44.805kg

The total weight in kilograms is C. 44.805 kg

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Convert mg to kg;

Caroline weighs 41,390,000 mg

1 mg = 0.000001 kg

41,390,000 mg = x

x = 41,390,000 mg × 0.000001 kg

= 41.39 kg

Now, Converting her baby sister's weight to kg

1000g = 1 kg

3415 g = x

Cross Multiply;

1000x = 3415g × 1 kg

x = 3415g × 1 kg/1000

x = 3.415 kg

Therefore, the total weight in kilograms is;

41.39 kg + 3.415 kg

= 44.805 kg

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

A bakery sells cakes, cookies, and pastries. They wonder if customers are equally likely to buy each product. They take a sample of 200 recent purchases and record what was purchased (they are willing to treat this as a random sample). Here are the results

Product Cakes Cookies Pastries
Observed purchases 65 68 67

They want to perform a x^2 goodness-of-fit test to determine if these results suggest that one type of product is more popular than the others. What is the expected count of cake purchases?

Answers

Answer:

66.667 cakes

Step-by-step explanation:

The expected count or value in a goodness of fit test is the product of the expected percentage and the total count or sample size.

Since the samples are being treated as a random sample, hence, the expected percentage of each of cake, pastries and cookies is the same.

The expected count of cakes is :

100/3 % * sample size

33.3333% * 200

= 66.667 cakes

A pound of chocolate costs 7 dollars. Rachel buys p pounds. Write an equation to represent the total cost c that Rachel pays.

Answers

Answer:

c = 7p

Step-by-step explanation:

i think

What is the distance between the coordinates (5,5) and (10,2)? Round your
answer to the nearest tenth.

Answers

Answer:

√34

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(10 - 5)² + (2 - 5)²

√(5)² + (-3)²

√25 + 9

√34

= 5.8

The base and the altitude of a triangle
are in the ratio of 1:2. If the area of
the triangle is 36, find the length of
the base.

Answers

Answer:

base=6

Step-by-step explanation:

[tex]\frac{base}{altitude}=\frac{1}{2}~=>2*base=altitude\\\\area=\frac{1}{2}base*altutude=\frac{1}{2}base*(2base)=base^2=36~=>base=6\\\\[/tex]

Find the value of N^2 -n. If n=-5

Answers

Algebra

Input -5 into all of the numbers which state "n"

-5^2+5

25+5

30

Ms. Sands purchased 60 boxes of crayon at 1.99 cach.
a. What was the TOTAL cost of the 50 boxes of crayon?
Answer:

Answers

My Answer was 1.50 educated guess
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