The prism shown has a volume of 35 cm^3
Work out h, the height of the triangular cross section.
Length =7 cm
Base=4 cm

Answers

Answer 1

Answer:

[tex]Height = 2.5[/tex]

Step-by-step explanation:

Given

[tex]Volume = 35[/tex]

[tex]Length =7[/tex]

[tex]Base=4 cm[/tex]

Required

Determine the height

The volume is calculated as:

[tex]Volume = Height * Base\ Area[/tex]

Since, it has a triangular cross-section, the expression becomes:

[tex]Volume = Height * \frac{1}{2} * Base * Length[/tex]

So, we have:

[tex]35 = Height * \frac{1}{2} * 4 * 7[/tex]

[tex]35 = Height * 14[/tex]

[tex]Height = 35/14[/tex]

[tex]Height = 2.5[/tex]


Related Questions

Simplify the expression: (-4x^10y^-8)^2

Answers

Answer:

(-8x)(20y)-16

Step-by-step explanation:

(-4x10y-8)2

distribute the two to all terms inside the parentheses

(-8x)(20y)-16

you cannot simplify this further

Madeline has a headache and takes 500
milligrams of a pain reliever. The brand
of pain reliever she takes has a half-life
of 2.5 hours. Which function could be
used to describe the amount of pain
reliever remaining in Madeline's system
at any given time?
lol

Answers

Answer:

f(x) = 500(1/2)^x

Did this end up in the wrong category lol

Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)

Answers

Answer:

28

Step-by-step explanation:

(a+b)h/2  

(6+8)4 / 2

14 x 4 / 2

= 28

I hope im right!!

Answer=28cm^2

6+8=14
14/2=7
7x4=28

Area of trapezium= ( a+b/2 )xh

when given a choice of a favorite pet, 32% of children choose a dog and 24% of children choose a cat. if 175 kids were asked what their favorite pet was, how many would choose a cat?

Answers

Answer:

42

Step-by-step explanation:

24% of 175 = 0.24 * 175 = 42

Answer:

175 x .24= 42 kids

...............

HELP NEED NOW... Look at picture

Answers

Answer:

the answer is 2

Step-by-step explanation:

Two boys A and B are a two diametrically opposite points on a circle. at one instant the two start running on the circle​

Answers

Step-by-step explanation:

let the distance travel by both be a&b

a has a distance of d1 like wise b

speed=distanc/time

d1=2v

d2=4v

total distance

d1+d2=180

2v+4v=180

6v=180

v=30

d1=2*30

d1=60

d2=4*20

d2=120

now start u get u starting

not that there meet at same point so now calculate the time they will trave in there various direction

time=distance/velocity

but they but move at a standard velocity

Answer:

is this the full question:  Two boys A and B are at two diametrically opposite points on a circle. At one instant the two start running on the circle; A anticlockwise with constant speed v and B clockwise with constant speed 2v. In 2 minutes, they pass each other for the first time. How much later will they pass each other for the second time?

if yes than this is the answer:-

A speed = v

B speed = 2v

Time to meet = 2 minutes

d= pi r ( distance they have to run to meet)

they are running towards each other.

(2v+v)

speed = 3v

d=rt

pi*r = 3v*2

r= 6v/pi

circumference = 2* pi*r

=2*pi*(6v/pi)

=12v

...

Now distance to travel to meet = 12v

speed = 3v

t=d/r

t= 12v/3v

t= 4 minutes

I hope this helps a little bit.

There are 20 pieces of fruit in a bowl and 8 of them are
bananas. What percentage of the pieces of fruit in the
bowl are bananas?

Answers

40% of the pieces of fruit in the Bowl are apples.
Step-by-step explanation:
Given the statement:- There are 15 pieces of fruit in a bowl and six of them are apples.
⇒ Total number of pieces of fruit in a bowl = 15 pieces
and
Number of pieces of apple in a bowl = 6 pieces.
To find the percentage of the pieces of fruit in the Bowl are apples.

=
Therefore, 40% of the pieces of fruit in the Bowl are apples.

HELPPP PLEASE WILL GIVE BRAINLIEST
What is the value of
-3x(7+(-3^2))/3
A. 13
B. -2
C. -16
D. -48

Answers

The would be -16x because

Can someone help mee

Answers

Answer:

Check pdf

Step-by-step explanation:

What is 566.8 divided by 52

Answers

Answer: It's 10.9 hope this helps have a awesome day/night❤️✨

Step-by-step explanation:

Step 1

The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, like we have it below:

5  5 2

Step 2

We can work out that the divisor (5) goes into the first digit of the dividend (5), 1 time(s). Now we know that, we can put 1 at the top:

1  

5  5 2

Step 3

If we multiply the divisor by the result in the previous step (5 x 1 = 5), we can now add that answer below the dividend:

1  

5  5 2

5  

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (5 - 5 = 0) and write that answer below:

1  

5  5 2

- 5  

0  

Step 5

Move the second digit of the dividend (2) down like so:

1  

5  5 2

- 5  

2  

Step 6

The divisor (5) goes into the bottom number (2), 0 time(s), so we can put 0 on top:

1 0  

5  5 2

- 5  

2  

Step 7

If we multiply the divisor by the result in the previous step (5 x 0 = 0), we can now add that answer below the dividend:

1 0  

5  5 2

- 5  

2  

0  

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (2 - 0 = 2) and write that answer below:

200 students attend Ridgewood Junior High School. 25% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?

Answers

sorry est un site Web Internet spécialement conçue 4

50 students.

25% of 100 is 25 and 200 is twice as much as 100. So then double the 25 to 50.

You can also set up a proportion of 25%/100% = ?/200 and cross multiply and divide.

Another way is to manipulate the numbers. Instead of 25% of 200 you can say 200% of 25. 200% is the same as saying twice as much as the number so what is twice the number 25? 50!



PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.


Answers

Answer:

C

Step-by-step explanation:

Evolution is where organisms have developed over time from simple to complex. Therefore we can rule out D because older rock layers should have simple organisms and A because new rock layers should have more complex organisms. The previous organisms will be unlike those of today, therefore the correct answer is C.

Helpppp!!! Pleaseeee

Answers

Answer:I’m pretty sure it’s 90

Step-by-step explanation:

Answer:

tan 60=√3/t

t=√3/√3=1 is your answer

Can someone help please !! I appreciate it

Answers

ANSWER
x=2
EXPLANATION
I’m smart don’t worry

Ans

Step-by-step explanation:

please help find the perimeter

Answers

Answer:

Perimeter of the given figure = 28 units

Step-by-step explanation:

Perimeter of the given figure = Length of AB + Length of BC + Length of CD + Length of DE + Length of EF + Length of FG + Length of GH + Length of AH

Length of AB = 4.5 units

Length of BC = 2 units

Length of CD = 2 units

Length of DE = 4 units

Length of EF = 5.5 units

Length of FG = 1.5 units

Length of HG = 1 units

Length of AH = 7.5 units

Perimeter of ABCDEFGH = 4.5 + 2 + 2 + 4 + 5.5 + 1.5 + 1 + 7.5

                                          = 28 units

Which table of ordered pairs represents a proportional relationship? I’m a timer please hurry thank you so much
х
-3
-4
-5
у
3
2
1
x
-1
-3
-5
у
1
3
5
-2.
-4
-6
y
1-5
1-7
-9
х
--2
-3
-4
у
0
-1
1-2
I

Answers

Answer:

I'd say the second one. the others are all showing a linear relatiknship

If a central angle measures 87°, then its arc will measure _____.

twice as much
the same
half as much

Answers

The same!

Hope This Helps! <3

Good Luck Studying ^-^

Question
Is the statement below true or false?
A sampling error is the situation in which not all members of the population are equally likely to be selected.

Answers

Answer:

I think it's true sorry if I get it wrong

Answer: it is false, I hope this helps you out!

Find the value of the expression a--b* for a = 2 and b= 1

Answers

Answer:

3

Step-by-step explanation:

Given the expression a --b

Given that

a = 2

b = 1

Substitute into the expression

a--b

= 2 --1

= 2 - (-1)

= 2 + 1

= 3

Hence the required value is 3

Use calculus to evaluate (lhopitals rule)
lim x>infinity x^2 - ln(2/x)/3x^2 + 2x

Answers

Answer:

1/3

Step-by-step explanation:

[tex][x^2 - ln(2/x)]/[3x^2 + 2x]\\[/tex]

∞/∞

[tex]\frac{d}{dx}[x^2-ln(2/x)] =2x+\frac{1}{x}\\ \frac{d}{dx}[3x^2+2x]=6x+2\\\frac{2x+\frac{1}{x}}{6x+2}[/tex]

Also ∞/∞

[tex]\frac{d}{dx}[2x+\frac{1}{x}]=2-1/x^2\\\frac{d}{dx}[6x+2]=6\\\\[/tex]

[tex]\lim_{x \to \infty} \frac{2-\frac{1}{x^2} }{6}\\=\frac{2}{6} \\=\frac{1}{3}[/tex]

How do I solve 1 1/3 × 2 2/4 is steps?​

Answers

Answer:

40/12 or 3 1/3

Step-by-step explanation:

To multiply mixed numbers, first change any mixed number to an improper fraction. Then multiply the numerators together and the denominators together

1 1/3 as an improper fraction is 4/3 and 2 2/4 as an improper fraction is 10/4.

4*10=40

3*4=12

Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)

Answers

Better quality would help, have a good day/night

Suppose that the water level of a river is 34 feet and that it is receding at a rate of
0.5 foot per day. Write an equation for the water level, L, after d days. In how many
days will the water level be 26 feet? -3x+4y=y

Answers

The answer is C I just took the test

Please help me! Thank you!

Leo wants to paint a mural that covers a wall with an area of 1,440 square feet. The height of the wall is 2/5 of its length. What is the length and the height of the wall?

Answers

Answer:

decide on your destiny

Step-by-step explanation:

i need you to decide on your own destiny  

Answer:

24 feet height, 60 feet length

Find the RANGE for the function f(x) = -4x - 9 if D = {1/2 ,0}

Answers

Answer:

-11, and -9 is the range for 1/2 and 0 respectively

Step-by-step explanation:

6.833 + 3.594 + 1.369 nearest whole number

Answers

Answer:

12

Step-by-step explanation:

You add 6.833 + 3.594 + 1.369, which equals 11.796, and then you round up to 12.

Answer:

12

Step-by-step explanation:

1 1

6.833

3.594

+1.369

11.796

round the whole number to get 12

find the missing lengths of the sides

Answers

Answer:

a=9, c=19

Step-by-step explanation:

Aight so basically in 30, 60, 90 triangles there is a formula for the sides

the hypotenuse(the longest side)=2a

The tiny side (the smallest side)=a

and the middle child =[tex]a\sqrt{3}[/tex]

Based on that we see that a is 9

and since c=2a then it's 18

A=9 C=19
Explanation: I took this test and got it right

Circle A has a radius of 5 units. Circle B has a radius of 3 inches. Which best represents the area of the figure below?

Answers

A 107.

Since the formula is (5x5)3.14+(3x3)3.14≈107

A $7.00 item is marked down by 10%.
What is the new cost of the item?
Round to two decimals if needed.
$

Answers

Answer:

6.3

Step-by-step explanation:

Which choice shows 1/4 of 8

Answers

Answer:

there is no picture so I dont know what i have to do..

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