The volume of a right triangular prism is 72 cubic feet. The height of the prism is 9 feet. The triangular base is an isosceles right triangle.

Answers

Answer 1

Answer:

Step-by-step explanation:

What is the area of the triangular base? 8 square feet

What is the length of edge DF? 4 feet

Answer 2

Answer:

What is the area of the triangular base?

 8 square feet

What is the length of edge DF?

4 feet

Step-by-step explanation:

just did the quiz on EDG


Related Questions

asmine works at the public library after school. She makes $7.00 per hour. She cannot work more than 15 hours per week. If y = 7x represents Jasmine's earning, what are the values in the domain?

Answers

(0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15) are the domains

A data set consists of the following data points:(3, 5), (5, 8), (6, 13)The line of best fit has the equation y = 2.5x – 3. What does this equation predict for a value of x = 3?

Answers

For this case we have the following equation:
 y = 2.5x - 3
 For x = 3 we have:
 y = 2.5 (3) - 3.
 Rewriting:
 y = 7.5 - 3.
 y = 4.5
 Therefore, the ordered pair that predicts the line is:
 (x, y) = (3, 4.5)
 Answer:
 
this equation predict for a value of x = 3:
 
(x, y) = (3, 4.5)

What is the solution to the equation 7(a – 10) = 13 – 2(2a + 3)

Answers

The solution to 7(a - 10) = 13 - 2(2a + 3) is x = 7.

Hope this Helps!!

Answer:

[tex]a=7[/tex]

Step-by-step explanation:

we have

[tex]7(a-10)=13-2(2a+3)[/tex]

Solve for a

[tex]7a-70=13-4a-6[/tex]

Group terms that contain the same variable and move the constants to the other side

[tex]7a+4a=13-6+70[/tex]

Combine like terms

[tex]11a=77[/tex]

Divide by [tex]11[/tex] both sides

[tex]a=7[/tex]


Assuming a truck container holds 24 cases, how many cases would 6 truck containers hold?

Answers

6 trucks will hold 144 containers.
multiply 6 by 24

Answer:

6 truck containers can hold 144 cases

Step-by-step explanation:

A truck container holds 24 cases and we have to find number of cases would 6 truck container will hold.

We will solve this question by unitary method.

∵ One truck container holds cases = 24

∴ 6 truck containers will hold cases = 24×6 = 144

Therefore 144 cases is the answer.

The amount of money in Nadia’s savings account is represented by the recursive formula mc010-1.jpg. If mc010-2.jpg, what are the first two numbers in the sequence? $25.36, $75.99 $50.00, $101.25 $101.25, $153.78 $75.99, $127.89

Answers

Answer:

a is correct

Step-by-step explanation:

Which situation involves descriptive statistics?




A. The survey shows that 1 in 3 moviegoers would attend a midnight showing.

B. A recent survey of the cost of new homes in the United States shows that the median price of a new home is up $15,000 since last year.


C. A reporter surveys some commuters in a city to estimate what percent of city’s commuters spend 45 minutes or more getting to work.

D. Eighty percent of the recipes in a cookbook require salt.

Answers

Final answer:

All options involve descriptive statistics, but option B is a classic example as it involves computation of a median, an important tool in descriptive statistics.

Explanation:

Descriptive statistics is used to describe, show or summarize data in a meaningful way. All the options given indicate the use of descriptive statistics because they all describe a given population or set of data using numerical measures. However, the most classical use of descriptive statistics is found in option B: 'A recent survey of the cost of new homes in the United States shows that the median price of a new home is up $15,000 since last year.' This situation involves the computation of a median, a common measure in descriptive statistics, to summarize property price data.

Learn more about Descriptive Statistics here:

https://brainly.com/question/31884351

#SPJ12

Solve ax - by = f for x

Answers

For this case we have the following expression:
 [tex]ax - by = f [/tex]
 We must clear the value of x in the expression.
 For this, we must follow the following steps:
 1) add by on both sides of the equation:
 [tex]ax - by + by = f + by ax = f + by[/tex]
 2) multiply both sides by 1 / a:
 [tex](1 / a) * ax = (1 / a) f + (1 / a) by x = (1 / a) f + (1 / a) by[/tex]
 3) Common factor 1 / a:
 [tex]x = (1 / a) * (f + by)[/tex]
 Answer:
 
[tex]x = (1 / a) * (f + by)[/tex]

10,14 and 18 can someone answer Pls pls

Answers

Answer:
10) 35
14) x = 1/2
18) 10 cm

Explanation:
For question 10, we can set up a proportional equation, cross-multiply and solve for the missing number:

[tex]\frac{x}{14} = \frac{5}{2}[/tex]

2x = 14(5)
2x = 70
2x / 2 = 70 / 2
x = 35

The missing number is 35

For question 14, we isolate variables on one side of the equation and constants on the other by performing whatever operations are necessary and then solve for the variable:
14x + 2 = 9
14x + 2 - 2 = 9 - 2
14x + 0 = 7
14x = 7
14x / 14 = 7 / 14
x = 7 / 14
x = 1/2

x = [tex]\frac{1}{2}[/tex]

For question 18, there are 10 millimeters (mm) in 1 centimeter (cm) so we can use this relationship so set up a conversion factor and cross-multiply to find the missing value like we did in question 10:
[tex]\frac{10}{1} = \frac{100}{x}[/tex]

10x = 100(1)
10x = 100
10x / 10 = 100 / 10
x = 10

There are 10 cm in 100 mm.

If a recipe calls for 3 servings calls for 2 grams of saffron . how many mililgrams of saffron are needed for 6 servings

Answers

If 3 servings needs 2 grams then 6 servings needs twice as much. So 6 servings needs 4 grams which equals 4000 milligrams.

The function is defined below. find all values of that are not in the domain of . if there is more than one value, separate them with commas.

Answers

Whats the question exactly? then ill answer

Simplify 11/12 - 6/4

Answers

Hello there, and thank you for asking your question here on brainly.

Short answer: -7/12

Why?

So, here are the steps on how to solve this. It takes a bit of work. (First step: 6/4 can be simplified down to 3/2, so do that.) - (Second step: Find the least common denominator. The least common denominator is 12. Convert 3/2 to a 12 denominator by multiplying both sides by 6. {3 * 6} / {2 * 6} ==> 18/12) - (Third step: Subtract the numerators. {11}/12 - {18}/12 ==> -7/12

Hope this helped you! ♥

A rectangle that has an area of 357 square inches is 17 inches wide. Using the formula for area (A=lw), how long is the rectangle? a. 21 inches b. 340 inches c. 20 inches d. 15 inches

Answers

Answer: a. 21 inches 
The rectangle that has an area of 357 square inches(a=357) is 17 inches wide(w=17). You are asked how long the length of the rectangle is. Then, you just need to put the number into the equation provided.

a=lw
area= length * width
357=length * 17
length= 357/17=21 inches

Answer:

a - 21 inches

Step-by-step explanation:

Following the formula [tex]Area = l*w[/tex], we can find the length of the rectangle by plugging in values into the formula, then solving for [tex]l[/tex].

[tex]357=l*17[/tex]

[tex]\frac{357}{17} =\frac{l*17}{17} \\\\21=l\\l=21[/tex]

what is the side length of a square with area 16 cm

Answers

Area = Length x Length 

Length² = 16

Length = √16

Length = 4

Answer: Length = 4cm
4cm. Since all sides of the square is equal in length, and the formula for area is base and width are the same, the equation will be x time x = 16. x times x equals x squared. So x squared =16. Square root of 16 is 4.

If the sample size gets smaller, how does that affect the shape of the smapling distribution of sample means

Answers

It is less normally distributed because there are less data points falling within the true mean.

How many different soccer teams consisting of 11 players can be formed from 18 players?

Answers

This is asking for a combination since order doesn’t matter

18 c 11

Combination = n!/(n-r)!r!

18!/(7! * 11!)

There are 31,824 possible teams

In a car how many miles do you go per day? How many days until you hit 10,000 miles?

Answers

I drive 25 miles per day

divide the number of miles per day by the total miles to find how long it will take:

10,000 miles / 25 miles per day = 400 days


The Average American Driver drives 33.3 Miles per day. so take that statistic and divide it by 10,000 youll get 300 so like 10 months. but it depends on how much you drive a day, some people drive up to 88 miles a day

How do you factor the expression #2x^2+ 5x + 3#?

Answers

Suggest using the quadratic formula here (altho' other methods would work):

a = 2; b = 5; c = 3.

                -5 plus or minus sqrt( 25-4(2)(3) )
Then x = ----------------------------------------------
                                      2(2)
                 -5 plus or minus sqrt (1)           -5 plus or minus 1
            = -------------------------------------- = --------------------------
                                   4                                          4

-1 is one root, so x+1 is one factor.  Can you find the other root and factor?

if a tree diagram were drawn to determine the number of possible outcomes when choosing one of 5 salads, one of 6 entrees, and one of 9 desserts, how many leaves would there be?

Answers

Answer:

270

Step-by-step explanation:

Just multiply.

5*6*9=270

Answer: There would be 270 leaves of a tree diagram.

Step-by-step explanation:

Since we have given that

Number of salads = 5

Number of entrees = 6

Number of desserts = 9

If we draw a tree diagram, we need to find the number of leaves there would be :

So, the number of leaves there would be is given by

[tex]5\times 6\times 9\\\\=270[/tex]

Hence, there would be 270 leaves of a tree diagram.

When is periodic data useful? Give examples to support your answer.

Answers

Periodic data is useful when you have to calculate measurements, estimates, temperature or other factors. Of the examples would be determining the wavelength of the ocean or tides. From the word itself "period", data will show the progress or changes from a given period of time.

Periodic data is useful for analyzing trends over time, helping to forecast future events, and measure frequencies of occurrences. It is applicable in various fields including business, environmental science, and health for planning strategies and understanding patterns.

Periodic data is useful when we are interested in analyzing and understanding trends over regular intervals of time. It helps us to observe patterns and forecast future occurrences based on historical information. For example, in business, we may look at quarterly sales figures to identify seasonal effects on sales and plan inventory accordingly. In environmental science, climate data recorded over decades can be critical for studying changes in weather patterns and predicting future climate events. In health, collecting epidemiological data periodically can enable public health officials to track the spread of diseases and the effectiveness of interventions.

Frequency, relative frequency, and cumulative relative frequency are measures that can describe how often certain events occur within periodic data. These measures help answer questions like 'How many students study five hours or more for an exam?' or 'What percent of families own two pets?' They are crucial for understanding the distribution of data and for making informed decisions based on that data.

If you want to put a 4x8 piece of plywood through a 3-foot square opening in your ceiling by turning it diagonally, is the opening big enough? Use 45-45-90 triangle since it is a square

Answers

THe diagonal of the 3*3 square = 3* sqrt2 = 4.24 feet   so the answer is Yes.

The first step is to calculate the length of the diagonal of the square opening.

The length of a diagonal of square = [tex] \sqrt{2} [/tex] * side

Given side = 3 feet

Length of the square hole = [tex] \sqrt{2} [/tex] *3 = 4.24 feet

since the diagonal is 4.24 feet and the shorter side of the plywood piece is only 4 feet, we can slide it through the square hole diagonally

Answer is YES since the diagonal 4.24 feet is greater than the shorter side of the plywood piece *4 feet

Sam is driving from Chicago to San Francisco, a distance of 2220 miles. He covers the first 192 miles in 4 hrs. At this rate, how long will the entire trip take?

Answers

We can set it up like this:

[tex] \frac{192}{4} = \frac{2220}{x} [/tex]

This states that Sam can drive 192 miles in 4 hours and 2220 miles in x hours.  To solve, we can use cross-multiplication:

[tex]192x = 2220*4 \\ 192x = 8880 \\ x = \frac{8880}{192} \\ x = 46.25[/tex]

It will take Sam 46.25 hours to drive the whole trip, or 46 hours and 15 minutes.

You wish to invest $500. You are going to earn 5% simple interest. How much interest will you earn?

Answers

You would earn .05 x $500 or $25 over that time period.

Answer:You would earn .05 x $500 or $25 over that time period.

Step-by-step explanation:

The number of nails of a given length is normally distributed with a mean length of 5.00 in. and a standard deviation of 0.03 in. Find the number of nails in a bag of 120 that are less than 4.94 in. long.

Answers

the number of nails in a bag of 120 that are less than 4.94 in. long will be found as follows:
P(x<4.94)=P(z<Z)
Z=(x-μ)/σ
where:
x=4.94 in
μ=5 in
σ=0.03
thus
Z=(4.94-5)/0.03
Z=-2
thus
P(x<4.94)=P(z<-2)=0.0228

Thus the number of nails that are less than 4.94 will be:
0.0228×200=4.56~5 nails

About 3 nails is correct on grad point

The perimeter of a rectangular field is 242 yards if the width of the field is 54 yards what is the lenght

Answers

perimeter = 2 (length + width)
242 = 2 (L +W)
121= L+W
121= L + 54
L = 121-54
L= 67 Yards


To the nearest tenth, what is the area of the shaded segment when AG = 6 ft?

10.3 ft2
21.1 ft2
1.7 ft2
28.3 ft2

Answers

A. 10.3 assuming that 113.1 is given

Answer:

Option A  is correct.

Step-by-step explanation:

Given:

AG = 6 ft ⇒ Radius of the circle , r = 6 ft

⇒ GB = AG = 6 ft

To find: Area of shaded Segment.

Area of Shaded Segment  = Area of Sector AGBA - Area of Δ AGB

Sector AGBA forming 90° angle at center. [tex]\implies\,\theta=90^{\circ}[/tex]

Area of Sector = [tex]\frac{\theta}{360}\times\pi r^2[/tex]

Area of Sector AGBA = [tex]\frac{90}{360}\times3.14\times6^2[/tex]

                                   = [tex]\frac{1}{4}\times3.14\times36[/tex]

                                   = [tex]28.26\:ft^2[/tex]

ΔAGB is a right angled triangle.

So, Area of ΔAGB = [tex]\frac{1}{2}\times AG\times GB[/tex]

                              = [tex]\frac{1}{2}\times6\times6[/tex]

                              = [tex]6\times3[/tex]

                              = [tex]18\:ft^2[/tex]

Area of Shaded Segment  = 28.26 - 18 = 10.26 ≈ 10.3 ft²

Therefore, Option A  is correct.

Write the equation of a circle, given the center is at point a(4,6) and the radius = 3.

Answers

Use:
[tex](x - a)^{2} + (y - b)^{2} = r^{2} [/tex]
Answer:
[tex](x - 4)^{2} + (y - 6)^{2} = 9[/tex]

(09.01 LC) Look at the figure below: A circle is shown with the center O. OP is a segment joining center O to a point P on the circle. MN is a line touching the cir Which is the tangent to the circle? (6 points) Segment OP Line ST Line MN Segment QR

Answers

Answer:

Line MN is the answer

Step-by-step explanation:

a what helps people in developing countries obtain minimal funding to start small businesses

Answers

The correct answer is the word, "GRANT"

People in developing countries can find minimal funding through small-business grants to start small businesses. Grants are basically free money. Unlike loans, they are financial awards that don't have to be paid back.

An ice cream cone has a diameter of 2 inches and a height of 5 inches. What is the volume of the ice cream cone? Round your answer to the nearest hundredth. (Use 3.14 for π.) 10.47 in.3 20.93 in.3 5.23 in.3 15.7 in.3

Answers

the answer is 5.23

to find the volume, you multiply radius squared by pi. the result of that is multiplied by the height divided by 3. [tex]V= 3.14* r^{2} \frac{h}{3} [/tex]

Answer:

The answer 5.23

Step-by-step explanation:

A waitress works 1.75 hours less in the afternoon than in the evening. If she works 5  
1/8hours in the afternoon, how many hours does she work in the evening?

Answers

Answer:

She worked [tex]6\frac{7}{8}[/tex]  hours in evening.

Step-by-step explanation:

Suppose, x be the hours waitress worked in evening,

Given,

She works 1.75 hours less in the afternoon than in the evening.

Thus, the number of hours she worked in afternoon = x - 1.75,

According to the question,

[tex]x-1.75 = 5\frac{1}{8}[/tex]

[tex]x-\frac{175}{100}=\frac{41}{8}[/tex]

[tex]x-\frac{7}{4}=\frac{41}{8}[/tex]

[tex]x=\frac{41}{8}+\frac{7}{4}[/tex]

[tex]x=\frac{41+14}{8}[/tex]

[tex]x=\frac{55}{8}=6\frac{7}{8}[/tex]

Therefore, she worked [tex]6\frac{7}{8}[/tex] hours in evening.

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