Find the volume of the triangular prism described below.
The base is a 45°-45°-90° triangle with a leg of 4 in. The height is 1.7 in.

Answers

Answer 1

A 45-45-90 triangle has two legs that are the same length. So both legs are 4 in.

Area of the triangle = 1/2 x 4x4 = 8 square in.

Volume = 8 x 1.7 = 13.6 cubic inches.


Related Questions

(01.01)

Evaluate 9 − 3 ⋅ 2 + 4. (1 point)

Group of answer choices

Answers

Answer: 7

Step-by-step explanation: 9-3•2+4

9-6+4

=7

For which values of x is the function
Y=x+4/(x+5)(x+11)
not defined? Select all that apply.

-4
5
-5
11

Answers

Answer:

x = - 5, x = - 11

Step-by-step explanation:

Given

y = [tex]\frac{x+4}{(x+5)(x+11)}[/tex]

The denominator cannot be zero as this would make y undefined.

Equating the denominator to zero and solving gives the values that x cannot be, that is

(x + 5)(x + 11) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x + 11 = 0 ⇒ x = - 11

Thus

x = - 11 and x = - 5 are excluded values.

Which is the graph of g(x) = [x+3]

Answers

Answer:

Option D

Step-by-step explanation:

The graph of g(x) = ⌈x + 3⌉ is the graph of the parent function h(x) = ⌈x⌉ that has been shifted to the left 3 units.

The correct choice is D


Compared to its 'parent' function f(x)=x^2, describe the changes if f(x)=-x^2-3

Answers

Answer:

It is inverted and shifted down 3 units.

Red is f(x) = x^2

Purple is f(x) = -x^2 -3

Step-by-step explanation:

Maria has 7 gal of water Mike has 23 qt of water. How many more pints of water does Maria have then Mike

Answers

Answer:

i think 10

Step-by-step explanation:

there is 8 pints in 1 gallon and 2 pints in 1 quart so that means in 23 quarts theres 46 pints and in 7 gallons there is 56 so 56-46 is 10 if that is what the question is asking lmk if the question is wrong

A second-grade student is 4 feet tall. Her teacher is 5 2/3 feet tall.

How many times as tall as the student is the teacher?


What fraction of the teacher’s height is the student’s height?


Can anyone help with this please?

Answers

Answer:

1. 17/12

2. 12/17

Step-by-step explanation:

The teacher is 1.42 times as tall as the student and the required fraction is given by 17/12

What is a ratio?

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here; Height of the student = 4 ft. and height of teacher =5²/₃

Ratio of the height of the teacher and student is

= 5+2/3  / 4   ( 5²/₃=5+2/3 , property of mixed fractions)

= 17/3 × 1/4

=17/12

=1.4166

Thus we can say that the height of teacher is 1.42 times as tall as the student.

Also as given above the teacher's height is 17/12 the students height.

Hence, The teacher is 1.42 times as tall as the student and the required fraction is given by 17/12

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ5                                                                            

2. Why was Susan Weiss' work not


considered important?

Answers

Answer:

she was a woman.

Help asap . thank youu

Answers

Answerr:turturtyuturtyurtyurtujj

Step-by-step explanation:

hmhmhgmfgjrtyhetyhtrhtrthrtngjthgfrtyu

Answer:

No

Step-by-step explanation:

If you graph the line, you will get an exponential function

A cone with a radius of 7ft and a height of 12ft is filled with wet sand. you took that sand and built a pyramid with a base of 4ft by 5ft how tall would the resulting pyramid be?

Answers

Answer:

95.36 ft

Step-by-step explanation:

Volume of a Cone[tex]=\frac{1}{3}\pi r^2 h[/tex]

Radius=7 ft, Height=12 ft

Therefore the volume of sand in the cone

[tex]=\frac{1}{3}\pi *7^2*12\\=615.7522$ ft^2[/tex]

If the sand was used to build as pyramid with a base of 4ft by 5ft.

Volume of a Pyramid[tex]=\frac{1}{3}*$Base Area* Height[/tex]

[tex]615.7522=\frac{1}{3}*(4*5)* Height\\615.7522=\dfrac{20}{3}* Height\\$Multiply both sides by \dfrac{3}{20}\\$Height =615.7522*\dfrac{3}{20}\\\\$Height of the pyramid=95.36 ft[/tex]

I just need a bit more clarification (just checking if my answer is right)
I put: C
But I just want more clarification.

Answers

Answer:

I think it's right. you should be fine

Find the 23rd term of this sequence -25,-15,-5,5....

Answers

Answer:

195

Step-by-step explanation:

To find the 23rd term of this sequence, we can use the arithmetic sequence formula [tex]a_{n} =a_{1} +(n-1)d[/tex] where,

[tex]a_{n}[/tex] = [tex]n^{th}[/tex] term

[tex]a_{1}[/tex] = first term

[tex]n[/tex] = term position

[tex]d[/tex] = common difference

[tex]a_{23}=-25+(23-1)10[/tex]

[tex]a_{23} =195[/tex]

Please answer correctly !!! Will mark brainliest !!!!!!

Answers

Answer:

5(x-4)-6

Step-by-step explanation:

If we subtract 6 from both sides, using the additive property of equality, we get that y, or f(x), equals 5(x-4)-6

4. Francisco says, "36 is 75% of 48." Is Francisco correct or incorrect?
Show your reasoning using a Tape Diagram."

Answers

Answer:

see below

Step-by-step explanation:

Is means equal and of means multiply

36 = 75% * 48

36 = .75* 48

36 = 3/4* 48

36 =36

Using the tape diagram

Divide 48 into 4 pieces

12    12     12    12

Then circle 3 of them

12  +12 + 12

36

Answer:

Correct

Step-by-step explanation:

75% of 48

75/100 × 48

3/4 × 48

36

Divide the tape of length 48 units into 4 parts, 3 parts add up to 36

ok so I must be stupid but pls help

Answers

Your not stupid- Hahahaha

It is A and D

They both have a volume of 80

What is the length of Line segment A J if Line segment A B is parallel to lines segment J K?



8 in.


8.75 in.


10.25 in.


14 in.

Answers

Answer:

8.75 in.

Step-by-step explanation:

See attachment for the figure.

As you can see, ∆ HBA & ∆HKJ are similar,

HB/HA = HK/HJ  

3/5.25 = 8/HJ

3HJ/5.25 = 8

3HJ = 42

HJ = 14 in.

AJ = 14 - 5.25

AJ = 8.75 in.

Therefore,  the length of Line segment AJ is 8.75 in.

Answer:

(B) 8.75

Step-by-step explanation:

PLEASE HELP ME ILL GIVE BRANLIEST!!! (and 50 points!)

A company mixes two kinds of cleansers to get a blend they sell for 59 cents a liter. One of the cleansers costs 50 cents per liter, and the other 80 cents per liter. How much of each kind should be mixed to get 2,000 liters of the blend?

Answers

Answer:

x = the 50c cleanser

y= the 80c cleanser

x= 1400 liters

y=600 liters

I'm pretty sure this is right

is the relation a function?
please help.

Answers

Answer:

Yes

Step-by-step explanation:

A function has one input (x-value) per output (y-value).

In other words, a relation that does not repeat any x values is a function.

{(3,4) , (5,0) , (2,4) , (-5,-5)}

The domain of the relation is:

{-5,2,3,5}

Since none of the numbers repeat in the domain, the relation is a function.

a fully inflated car tire loses 2% of its air every day. if the tire atarted with 4460 cubic feet of air, write an equation to show how much air it had after d days.

Answers

Answer:

Step-by-step explanation:

4460=d*2


Write the equation of a circle with a center at (-2,-10) and a radius of 1.2.
A) (x + 2)2 + (y + 10)2 =1.2
B) (x - 2)2 + (y - 10)2 = 1.2
C) (x + 2)2 + (y + 10)2 = 1.44
D) (x + 2)2 + (y + 10)2 = 14.4

Answers

Answer:

The correct option is the letter "C", [tex](x + 2)^2 + (y + 10)^2 = 1.44[/tex].

Step-by-step explanation:

The standard form for a circle's equation has the following structure:

[tex](x - x_c)^2 + (y - y_c)^2 = r^2[/tex]

Where [tex](x_c,y_c)[/tex] are the coordinates of the center of the circle and [tex]r[/tex] is the radius. Applying the data from the problem we have:

[tex](x - x_c)^2 + (y - y_c)^2 = r^2\\\[[x - (-2)]^2+ [y - (-10)]^2 = (1.2)^2\\(x + 2)^2 + (y + 10)^2 = 1.44[/tex]

Therefore the correct answer is the letter "C", [tex](x + 2)^2 + (y + 10)^2 = 1.44[/tex].

What is the equation of the line that has a slope of –4 and passes through the point (2, 3)?

Answers

Answer:

y=-4x+11

Step-by-step explanation:

We can use the point-slope form of a line to solve this, which is

y - y₁ = m (x - x₁), where (x₁ , y₁) is a point and m is the slope.

We have:

y - 3 = -4(x - 2)

y - 3 = -4x + 8

y = -4x + 11

Hope this helps!

The side length of a square is 5.25 inches. What is its area? What is its perimeter? Be sure to show your work for credit and don't forget to label units!

Answers

Answer:

Step-by-step explanation:

area of a square is just L^2 or one of the sides squared

and the perimeter is 4L

that means

Area = 5.25^2

= 27.5625 in^2

Perimeter = 4 * 5.25

= 21 in

Allison currently has a balance of $2,300 in her checking account. She deposits a $345
paycheck, a $30 rebate check and a personal check for $600 into her checking account. She
withdrawals $350 in cash. How much will she have in her account after the transaction?

Answers

Answer:

2925

Step-by-step explanation:

2300 starting

Deposit means add

2300+ 345+30+600 =3275

Withdrawal means subtract

3275-350 =2925

She has 2925 in the account

Plz, answer this question I need help. I'll mark you as brainliest and give you 5 stars.

Answers

Answer:

pretty sure its D but idk

Step-by-step explanation:

3 is what percentage of 5

Answers

Answer:

60%

Step-by-step explanation:

is means equals and of means multiply

3 = P * 5

divide each side by

3/5 = P

.6 = P

Change to a percentage by multiplying by 100

60%

Answer: 60%

Step-by-step explanation:

3/5 * 100

3 * 20

Combine the like terms to create an equivalent expression:
−3x-6+(-1)

Answers

Answer:

-3x-7

Step-by-step explanation:

The like terms here are -6 and -1. When we add the two, we get -7. Therefore, the answer is -3x-7. Hope this helps!

Can someone help with the following question. Explain why it's the answer

Thank you.

Answers

I think it’s A

Because B and D are equations and C has a less than sign.

What is the slope of the line that passes through the points (6, 4) and (3,8)?

Answers

Answer:

-5/3

Step-by-step explanation:

you have to do slope formula

Explain how to graph the point (6,4) on a coordinate plane.

Answers

Answer:

here is how

Step-by-step explanation:

the x (6) is the horixontal ways on the co-ordinate plane. you go right until you reach the six. the y (4) is vertical. take the point that is on 6,0. and move it up until you see it on 4. now you have the coordinates 6,4.

How many times were you able to transfer any contents of the cone into the cylinder? What comparison can you make between the volume of the cone and the volume of the cylinder?​

Answers

I do not know the last question but I know the first it is4 time I hope I am right

Please help. The correct and best answer gets brainiest! 29 points!!
(please make sure you are correct and show your work, no guessing)

Answers

Answer:(15, 100)

Step-by-step explanation:

first find the coordinates of the point above (3, 20)

you just look at the x axis and where the point is in this case x would be 6 and then you find y which would be 40

so the coordinate would be (6, 40)

now subtract (6, 40) by (3, 20)

6-3= 3

40- 20= 20

you get the first coordnites which is what you add (12,80) to

12 +3= 15

80+ 20= 100

you get the coordinates (15, 100)

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