A right rectangular prism has a volume of 3536 cubic feet, and the length 8 of the base of the prism is 9 feet longer than its width. The height of prism is 26 feet. What are the dimensions of the base of the prism?

Answers

Answer 1

Answer:

Base = 8 * 17

Step-by-step explanation:

(Not sure what the "8" is, assuming an accidental input.)

Base area = 3536/26 = 136

136 = Lw

L = 136/w

L = w + 9

136/w = w + 9

136 = w(w + 9)

136 = w² + 9w

w² + 9w - 136

(w + 17)(w - 8)

Only use the positive result. w = 8

L = 8 + 9 = 17

Edit: Maybe 8 is the answer accidentally included in the question?...


Related Questions

I need to know 2, 3, and 4.

Answers

Answer:

Step-by-step explanation:

Let the equation of the line 'a' is,

y = mx + c

Here, m = slope of the line

c = y-intercept

For line 'a',

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

m = [tex]\frac{10}{16}[/tex]

m = [tex]\frac{5}{8}[/tex]

y-intercept = 20

Therefore, equation of the line 'a' is,

y = [tex]\frac{5}{8}x+20[/tex]

Similarly, equation of the line 'b' is,

y = m'x + c'

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

m' = [tex]\frac{20}{16}[/tex]

m' = [tex]\frac{5}{4}[/tex]

y-intercept = 0

Therefore, equation of the line is 'b' is,

y = [tex]\frac{5}{4}x[/tex]

1). Line 'b' represents a proportional relationship → FALSE

2). The constant of proportionality of y to x for line 'a' is [tex]\frac{1}{2}[/tex] → FALSE

3). The ratio of y-coordinate to x-coordinate of one of the points on line b is 25 : 8 → FALSE

4). let a passes through the point [tex](1,\frac{5}{4})[/tex] so the constant of proportionality is [tex]\frac{5}{4}[/tex] → TRUE

pls hurry if you can. A What is the volume of this cube?



Question 5 options:

26.46 cm3

9.261 cm3

6.3 cm3

Answers

Answer:

9.261 cm³

Step-by-step explanation:

2.1x2.1x2.1=9.261

Answer:

9.2

Step-by-step explanation:

the answer is 9.2 yo multiplu 2.1x2.1x2.1

I’m stuck on this one. Can any one help me?

Answers

3, and apparently its "too short of an answer on this website"

Each model below is divided into sections of equal size Which model does Not have 75% of the total area shaded

Answers

Answer:

G

f is 6/8=3/4 = 75%

h is 9/12=3/4 = 75%

I is 3/4 = 75%

so the answer is G

find the slope of this graph, I'll give you brainliest
if you dont know please dont answer
(no links please)
thanks in advance​

Answers

Answer:

(-8,1) I think, I've been working on things like this In my classes so I think I'm right. But if I'm not don't get mad please!!

use the expression (8x + 2) + (-9x + 7)
a. find the sum
b. explain how you know when to combine terms with variables

Answers

combine like terms, you would get -1+9 which your answer would be 8

Broccoli cost 1.50 at a store. How much does 32 ounces of broccoli cost?

Answers

Answer:

48.00

Step-by-step explanation:

Answer:

48.0 hope it helps you out

simplify by distributive property 9-5b+5m​

Answers

Answer and Step-by-step explanation:

This is as far as the expression can be simplified.

The undistributed version of the expression is:

9 -5(b - m)

#teamtrees #PAW (Plant And Water)

−5b+5m+9 this should be the answer correct me if I’m wrong.

simplify the expression by using the distributive property 2(3x-5)​

Answers

Step-by-step explanation:

multiply the outer term to the inner term

so, 6x-10.

Hello.

Let's use the Distributive Property to simplify the given expression.

Remember, the Distributive property states that

a(b+c)=ab+ac

Now, let's simplify our expression:

2(3x-5)

6x-10

This is the simplified answer; we can't simplify it anymore.

I hope it helps.

Have an outstanding day. :)

[tex]\boxed{imperturbability}[/tex]

Caleb's vegetable garden yielded 23 pounds of bell peppers. He gave two-thirds
of the total yield to his reighbor, Jacob. How many pounds of bell peppers did
Jacob receive?

Answers

Jacob received 15.3 pounds of bell peppers.

In ΔTUV, the measure of ∠V=90°, the measure of ∠T=72°, and VT = 6.6 feet. Find the length of TU to the nearest tenth of a foot.

Answers

Answer:

21.4

Step-by-step explanation:

Answer:

21.4

Step-by-step explanation:

delta math told me! :)

Does this graph represent a function? Why or why not?

Answers

Answer:

The answer is a because it does pass the verticle line test

If John gets paid $45.00 an hour and works 10 hours, how much does he earn?

Answers

10 times 45 equals 450 so he would’ve made 450 if he worked for 10 hours


m is a negative number.
Which statement is correct?
Choose only one answer.
A m + 9 is always positive
Bm + 9 is always negative
c m + 9 cannot be zero
D m + 9 could be positive or negative or zero​

Answers

Answer:

D

Step-by-step explanation:

Examples

-10 +9 = -1

-8 +9 = 1

-9+9=0

Answer this question and I will mark you branilist

Answers

Answer: F

Step-by-step explanation:

An Internet company located in Southern California has season tickets to the Los Angeles Lakers basketball games. The company president always invites one of the seven vice presidents to attend games with him, and claims he selects the person to attend at random. One of the seven vice presidents has not been invited to attend any of the last four Lakers home games. What is the likelihood this could be due to chance

Answers

Answer:

0.5398

Step-by-step explanation:

Given that :

Total possible numbers vice presidents invited = 7

Required number of vice presidents invited = 1

Probability that a certain vice president is invited ;

P(a certain V. P is invited) = required outcome / Total possible outcomes

P(a certain V. P is invited) = 1/ 7

P(1 of the V. P's hasn't been invited to attend any of the last 4 games)

Then ; it means any of the remaining (7 - 1) = 6 has been invited ;

Hence,

P(1 of the V. P's hasn't been invited to attend any of the last 4 games) = ((7-1) / 7)^4

Likelihood that it could be due to chance :

(6/7)^4 = 0.5397750

= 0.5398

Solve similar triangles (advanced)
Solve for x
x=?


Answers

Answer:

x = 1.2

Step-by-step explanation:

AD/AB = DE/BC (Similarity Theorem)

AD = 6 + 4 = 10

AB = 6

DE = 2

BC = x

Plug in the values

10/6 = 2/x

Cross multiply

10*x = 2*6

10x = 12

Divide both sides by 10

x = 12/10

x = 1.2

HELP ME WITH A MATH PROBKEM Type a number that has a value less than 4.7|

Answers

Answer:

i think

all the numbers between

0 to 4.6

If the volume of a hemisphere is 92160 pie cubic cm then find
its radius.​

Answers

Answer:

radius = 51.70 cm

Step-by-step explanation:

Volume = (2/3) π r³

Volume = 92160 π

Radius = ?

Using the above formula

V = (2/3) π r³

r³ = v/((2/3) π)

r³ = ((92160 π) x 3) / (2 x π)

r³ = 276480/2 because (π/π) = 1

r³ = 138240

Taking cube root on both sides

r = 51.70 cm

Based on concerns raised by his preliminary research, the biologist decides to collect and examine 150 frogs.
a) Assuming the frequency of the trait is still 1 in 8, determine the mean and standard deviation of the number of frogs with the trait he should expect to find in his sample.
b) Verify that he can use a Normal model to approximate the distribution of the number of frogs with the trait.
c) He found the trait in 22 of his frogs. Do you think this proves that the trait has become more common?
Explain.

Answers

Answer:

Answered and explained below

Step-by-step explanation:

A) We are told that frequency of the trait is still 1 in 8. Thus, population proportion; p = 1/8 = 0.125

Sample size; n = 150

Formula for mean is;

μ = np

μ = 150 × 0.125

μ = 18.75

Formula for standard deviation is;

σ = √(np(1 - p))

σ = √(150 × 0.125(1 - 0.125))

σ = √16.40625

σ = 4.05

B) usually, when np ≥ 10 , we make use of normal distribution.

I'm this case, it is 18.75 which is greater than 10.

Thus,we can use a normal model to approximate the distribution.

C) we are told that he found the trait in 22 of the frogs.

Thus;

Proportion is now; 22/150 = 0.1467

This is a higher probability that the initial one of 0.125 and we can say that the trait has become more common.

Help please I give brainliest and be serious

Answers

Answer:

you add all sides then you can calculate

Will mark brainlest Thanks

Answers

Answer:

the answer is d

Step-by-step explanation:

Please Help No fake answers

Answers

Answer:

5.09 or 5.10(if u round up)

Step-by-step explanation:

When you convert √24 it will be 5.099

The decimal point must lie between 5 and 0

Hope this helps:)

1 of 8
© An object has a mass of 240 kg and a volume of 8 m3.
Find the density of the object in kg/m²
o
kg/m3

Answers

Answer: 30 kg/m³

Step-by-step explanation: density = mass / volume

Density is 240 kg / 8 m³

In a lumberjack competition, a contestant is blindfolded and then spun around 9 times. The contestant then immediately tries to hit a single point (the target) in the middle of a horizontal log with an axe (while still blindfolded). The contestant receives

15 points if their swing is within 3cm of the target.
10 points if their swing is between 3cm and 10cm of the target.
5 points if their swing is between 10cm and 20cm of the target
zero points if their swing is further away from the target (and someone may lose a finger!).

Let Y record the position of the hit, so that Y = y > 0 corresponds to missing the target point to the right by y cm and Y = - y < 0 corresponds to missing the target to the left by y cm. Assume that Y is normally distributed with mean mu = 0 and variance 100 cm^2. Find the expected number of points that the contestant wins.

Answers

Answer:

9.364 is the expected number of points.

we can approximate this to 10 points if we want a whole number

Step-by-step explanation:

We have these variables:

[0,5,10,15]

P(x= 0) = p(y>20)+p(y<-20) = 2p(y>20)

P(x=5) = p(-20<=y<=10)+p(10<=y<=20) = 2p(10<=y<=20)

P(x=10) = p(-10<=y<=-3)+p(3<=y<=10) = 2p(3<=y<=10)

P(x=15) = p(-3<=y<=3) = 2p(0<=y<=3)

Z = y/10

Therefore

P(x= 0) = 2(y>20)

= 2p(z>2) = 2(1-p<=2)

= 2(1-0.9772)

= 0.0456

P(x= 5)

= 2p(10<=y<=20)

= 2p(1<=z<=2)

= 2(0.9772-0.8413)

= 0.2718

P(x= 10)

= 2p(3<=y<=10)

= 2p(0.3<=z<=1)

= 2(0.8413-0.6179)

= 0.4468

P(x = 15)

= P(0.6179-0.3821)

= 0.2358

To get expected value of Y

0(0.0456)+5(0.2718)+10(0.4468)+15(0.2358)

= 1.359 + 4.468 + 3.537

= 9.364

E[Y] = 9.364

HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!

Answers

LxW = 4x4.5=18ft^2 cut in half thats 9ft^2

Hey guys can you guys help me thanks :)​

Answers

D. Multiply 60 by 9, then divide by 4

Explanation

Answer:

d

Step-by-step explanation:

60x9 =540

start time: 2:18:09 pm elapsed time: 5 hr 34 min 27 sec end time:??

Answers

Answer:

Start time: 2:18:09 pm

End Time : 7:52:36 pm

Step-by-step explanation:

Plus these numbers

2:18:09

5:34:27

_______

2+5 = 7

18+34 = 52

09+27 = 36

7:52:36

If 50% of a number is 150 and 30% of the same number is 90, find 80% of that number.

Answers

Answer:

240

Step-by-step explanation:

We know that 50% of the number is 150 so we can assume the number is 300(if its 50% just double that number). Next we use the equation 0.80 x 300 which gives us the answer 240.

Hope I helped

Answer:

240

Step-by-step explanation:

50%*x=150

0.5x=150

x= 300

30%*x=90

0.3x= 90

x= 300

80%*300=

0.8*300= 240

Given that f(x) = x2 – 5x + 6 and g(x) = x – 3, find f(x) + g(x) and express
the result in standard form.

Answers

Answer:

G(X)+f(X) = x2-6x+3

Step-by-step explanation:

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