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

Select the correct answer.
Which statement about inverse matrices is true?
O A.
An inverse matrix is always a square matrix.
O B.
An inverse matrix a is never a square matrix.
The determinant of an inverse matrix is always zero.
O D.
There always exists a square matrix A-1 for which AA-1 = /.
Reset
Next

Answers

Options A and D are true for the inverse matrices.

We need to determine which statement about inverse matrices is true.

What is an inverse matrix?

The inverse of the matrix is another matrix, which on multiplication with the given matrix gives the multiplicative identity. For a matrix A, its inverse is [tex]A^{-1}[/tex], and  [tex]A.A^{-1}=I[/tex] A = I, where I is the identity matrix. The matrix whose determinant is non-zero and for which the inverse matrix can be calculated is called an invertible matrix.

The matrix should have a non-zero determinant for getting the inverse of it.

An inverse matrix should be a square matrix.

The inverse of the matrix can be calculated by two approaches:

1) Adjoint method

2) Row/Column elementary method

Therefore, options A and D are true for the inverse matrices.

To learn more about the inverse matrices visit:

https://brainly.com/question/15118736.

#SPJ2

Solve the systems of equation by elimination.

x + 5y = -7
2x + 7y = -8

Answers

2x-7y=-6 but x = 5y , so

2(5y) - 7y = -6

Please I need help it’s an emergency

Answers

Answer:

A. Cos θ = 16/42

Step-by-step explanation:

The angle the ladder makes with the floor = θ

Hypotenuse = length of the ladder = 42 m

Adjacent = Distance from the bottom of the ladder to the wall = 16 m

Therefore to find θ, we would apply the trigonometric function, CAH:

Cos θ = adj/hyp

Which is:

Cos θ = 16/42

2p(7p+7) please answer

Answers

Answer:

14[tex]p^{2}[/tex] + 14p

Step-by-step explanation:

to expand, multiply 2p with 7p which gives you 14p^2

then,

multiply 2p by 7 = 14p

14p to the 2nd power+14p

find the vaule of b in rectangle

Answers

b will equal 1.
i’ll attach an image to show work

Which one is a unit rate?
sk
5 pounds in 2 bags
15 miles per gallon
$8.00 for 3 boxes of oranges
22gallons of water in 5 days

Answers

number 2- 15 miles per gallon.
the key word in this example is per, which is a key word for unit rate.
hope this helps:)

Please explain in words.

Answers

Answer:

Negative

Step-by-step explanation:

The following expression will be negative. This is because, the fraction in x is a negative fraction. The fraction in y is a positive fraction. The expression is    x * y, so if you were to multiply the two it would be negative. This is because a negative multiplied by a positive will be equal to a negative.

Hope this helps!!

-Ketifa

(Can I get brainliest?)

Somebody help me with this

40 points ☺️

Answers

Bet......................hbd

The formula for any geometric sequence is an = a1 · rn - 1, where a n represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the sequence -3, -6, -12, -24, ...?

an = -2 · (-3) n - 1
an = 2 · (-3) n - 1
an = -3 · 2 n - 1
an = -3 · (-2) n - 1

Answers

Answer:

C

Step-by-step explanation:

The formula for any geometric sequence is:

[tex]a_n=a_1\cdot r^{n-1}[/tex]

Where aₙ is the value of the nth term, a₁ is the value of the first term, r represents the common ratio, and n represents the term number.

We want the formula for the geometric sequence:

-3, -6, -12, -24, ...

Note that our first term is -3. Hence, a₁ = -3.

Next, each subsequent term is twice the previous term. Hence, our common ratio r = 2.

Therefore, by substitution, we acquire:

[tex]a_n=-3\cdot (2)^{n-1}[/tex]

Our answer is C.

Given the function
f(x)=4x−1
, evaluate and simplify the expressions below. See special instructions on how to enter your answers.
f(a)=
f(a+h)=
f(a+h)−f(a)h=
Instructions: Simplify answers as much as possible. Expressions such as 4(x+2)and (x+5)2 should be expanded. Also collect like terms, so 3x+x should be written as 4x.

Answers

Answer:

[tex]f(a) = 4a - 1[/tex]

[tex]f(a+h) = 4a+4h - 1[/tex]

[tex]f(a + h) - f(a)h= 4a + 5h - 4ah- 1[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 4x - 1[/tex]

Solving (a): f(a)

Substitute a for x

[tex]f(a) = 4a - 1[/tex]

Solving (b): f(a + h)

Substitute a + h for x

[tex]f(a+h) = 4(a+h) - 1[/tex]

[tex]f(a+h) = 4a+4h - 1[/tex]

Solving (c):f(a + h) - f(a)h

[tex]f(a + h) - f(a)h= f(a + h) - f(a) * h[/tex]

Substitute values for f(a + h) and f(a)

[tex]f(a + h) - f(a)h= 4a + 4h - 1 - (4a- 1) * h[/tex]

Open bracket

[tex]f(a + h) - f(a)h= 4a + 4h - 1 - 4ah+ h[/tex]

Collect like terms

[tex]f(a + h) - f(a)h= 4a + 4h + h - 4ah- 1[/tex]

[tex]f(a + h) - f(a)h= 4a + 5h - 4ah- 1[/tex]

ill so you the picture of it​

Answers

Answer:

Of WhaT?

Thanks for the free points btw

The population of the city of Atlantis on March 30, 2008 was 183,000. The number of new active cases of TB occurring between January 1 and June 30, 2008 was 26. The number of active TB cases according to the city register on June 30, 2008 was 264. The incidence rate of active cases of TB for the 6-month period was:

Answers

Answer:

[tex]\%Rate = 0.0142\%[/tex]

Step-by-step explanation:

Given

[tex]Population = 183000[/tex]

[tex]New\ Cases = 26[/tex]

[tex]Active\ Cases = 264[/tex]

Required

The incidence rate

This is calculated as:

[tex]\%Rate = \frac{New\ Cases}{Population} * 100\%[/tex]

[tex]\%Rate = \frac{26}{183000} * 100\%[/tex]

[tex]\%Rate = 0.0001420765 * 100\%[/tex]

[tex]\%Rate = 0.01420765\%[/tex]

[tex]\%Rate = 0.0142\%[/tex] --- approximated

Hence, the incidence rate is 0.0142%

Which is a perfect square?
61
62
63
65

Answers

Answer:

None of them really,

A perfect square is a number that can be expressed as the product of two equal integers...which is not seen here.

Th closest perfect square that could be possible would be 64, but thats not an option, so go with none.

How many copies of 1 twelfth are equivalent to 3 sixths? Help!

Answers

Answer:

6/12 is equal to 3/6 ( 6 twelfths is equal to 3 sixths )

Step-by-step explanation:  

multiply both sides of 3/6 by 2 to get the same denominator, doing that will get you 6/12

Answer:

6 copies

Step-by-step explanation:

Step 1:  Convert 1 twelfth to an expression

1 twelfth is the same thing as 1/12

Step 2:  Convert 3 sixths to an expression

3 sixths is the same thing as 3/6

Step 3:  Get common denominators

The lowest common denominator between 1/12 and 3/6 is 12

[tex]\frac{1}{12}[/tex] → [tex]\frac{(1 * 1)}{(12 * 1)}[/tex] → [tex]\frac{1}{12}[/tex]

[tex]\frac{3}{6}[/tex] → [tex]\frac{(3 * 2)}{(6*2)}[/tex] → [tex]\frac{6}{12}[/tex]

Step 4:  Find the amount of 1/12 there are in 6/12

In order to find out the copies, we need to add 1/12 x amount of times to get 6/12.  We find that x is going to be 6.  Therefore, there 6 copies.

[tex]\frac{1}{12}+\frac{1}{12}+\frac{1}{12}+\frac{1}{12}+\frac{1}{12}+\frac{1}{12} = \frac{6}{12}[/tex]

Answer:  6 copies

Layla is saving money to buy a bicycle that costs $249. She has already saved $193. She saves
$7 each week. Which inequality shows the solution set for the number of weeks that Layla will
need to save money to be able to buy the bicycle?

Answers

Answer: It would take her another 8 weeks to get a total of $249.

Step-by-step explanation:

7
John is painting a sign of a rising sun, which happens to be exactly half of a circle. The half-
circle's base is 30 inches long. He'll need to buy enough paint to cover how much space?
(Approximate pi to 3.14)
(1 Point)
A = { bor?
900 sq. in.
1,413.00 sq. in.
353.25 sq. in.
30.00 sq. in.

Answers

Answer: 353 square inches

Step-by-step explanation:

Hello! May someone please help on this :)
I would probably give brainliest.

Answers

Answer:

theres 16 doughnuts

Step-by-step explanation:

Someone help please I can’t seem to get this one and its my last one

Answers

Answer:

345 cm squared I believe

I'm not 100% sure

How many miles will Mrs. Garcia drive in eight hours if she is traveling 65 mph? _ miles

Answers

Answer:

she would probably drive 520 miles in she is driving 65 mph for a whole 8 hours

Step-by-step explanation:

Answer:

520

Step-by-step explanation:

This is a very simple explanation.

Mrs. Garcia drives eight hours...at 65mphs throughout the trip.

How many miles has she drove?

All you need to do is multiply 8x65 and you will get 520.

Mrs. Garcia drove a total of 520 miles.

PLEASE HELP what is the solution to |2x-8|<2

Answers

Answer:

A

Step-by-step explanation:

You have two inequalities:

2x-8<2 = 2x<10 = x<5

-2x+8<2= -2x<-6 = x>3

Combine the two to get 3<x<5

Hope this helps!

Answer and Step-by-step explanation:

The answer would be A, in which x can be any value between 3 and 5, exclusive, or not including.

This is because in this situation, if you put any number greater than or equal to 5, or any number less than or equal to 3 it would be greater than 2 due to the absolute thing (noted as |  |  )

So, any number thats between 3 and 5 will work, as it will be less than 2.

#teamtrees #POG (Plant Our Garden)

The Booster Club sells meals at basketball games . Each meal comes with a choice of a main: hamburgers , pizza , hot dogs, cheeseburgers , or tacos, and a choice of a drink: root beer, lemonade, milk, coffee, tea, or cola. How many possible sandwich/drink combinations are there? (Show work) (2 pts)

Answers

30 combinations is the answer.

Step-by-step explanation:

Each meal comes with a choice of hamburgers, pizza, hot dogs , cheeseburgers or tacos means 5 options.

And a choice of root beer lemonade, milk , coffee, tea or cola means 6 options.

So, possible combination can be =  combinations.

A cats' home has a raffle to raise money.
There is 1 prize to be won in the raffle.
Lottie buys 15 raffle tickets.
A total of 360 raffle tickets are sold.
Find the probability that Lottie does not win the prize.

Answers

an answer obviously

the sumof the present ages of a father and his son is 60 years. 6years ago, the father's age was 5 times the age of his son.after 6 years, how old will the son be?​

Answers

Answer:

20 years

Step-by-step explanation:

Let the present ages of son and father be x and (60 -x) years respectively.

Then, (60 - x) - 6 = 5(x - 6)

54 - x = 5x - 30

6x = 84

x = 14.

Son's age after 6 years = (x+ 6) = 20 years..

I hope this helps a little bit.

If it takes the pendulum 1.5 seconds to move back and forth once,the length of the pendulum is approximately what feet?

Answers

Answer:

Suppose that it takes a simple pendulum 1.2 seconds to swing from its leftmost point to its ... pendulum to complete one full back-and-forth motion – from its rightmost point back to its ... A pendulum with a string of length 2 m has a period of about 2.8 s. ... A pendulum with a period of 1.8 s on Earth is moved to another planet.

Step-by-step explanation:

15 POINTS!!!!
7 ÷ 0.1 = 7 ÷ 1/10

7 is 1/10 of____.

Help Please

Answers

7 is 70 out of 1/10.

please give thanks if i am correct, i think this is the question you're asking.
7 is 70 outta 10 !!!!

What is an angle call measure between 90° and 180°

Answers

An obtuse angle!! It’s bigger than 90, but less than 180
Obtuse the definition of obtuse is an angle between 90° and 180°

5/8 62.5/100 as a ratio (simplified)

Answers

Answer:

5:8, 25:1

Step-by-step explanation:

i guess this is ans

Which of the following World Record times from Track and Field is least
precise?
A. 47.6 seconds (400 m -Women)
B. 43.18 seconds (400 m - Men)
C. 21.34 seconds (200 m-Women)
D. 9.79 seconds (100 m - Men)

Answers

Answer:

THE ANSWER SHOULD BE D OR B

Step-by-step explanation:

I DON'T KNOW

WILL MARK BRAINLIST JUST HELP NOW
If angle A in the diagram equals 45 degrees and angle B is 4x + 5 degrees, determine the value of X.

A) 10 degrees
B) 25/5 degrees
C) 40 degrees
D) 160 degrees

Answers

Answer:

definitely A

Step-by-step explanation:

10 degrees. hope this helps lovely <3

Solve the system of equations by elimination

3x + 5y = 16
2x - y = 2

Answers

Answer:

the answer is 2

Step-by-step explanation:

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