1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
goldfiish [28.3K]
3 years ago
5

A rectangular pyramid has a volume of 315 cm^3. The base has a width of 15 cm and a length 7 cm. Find the height h of the pyrami

d .
Mathematics
2 answers:
pochemuha3 years ago
5 0

Answer:

h = 9 cm

Step-by-step explanation:

A rectangular pyramid has a volume of 315 cm^3.

The base has a width of 15 cm and a length 7 cm.

Find the height h of the pyramid .

<u>Vol = 1/3 (base area) h</u>

where base area = 7 x 15 = 105 cm²

vol = 315 cm³

plugin values into the formula

315 = 1/3 (105) h

h =  <u>    315   </u>

      (1/3 * 105)

h = 9 cm

liraira [26]3 years ago
5 0

Formula: V = 1/3bh

v = volume

b = base area

h = height

Find "b" or the base area

15 * 7 = 105

Solve for "h"

315 = 1/3(105)h

315 = 35h

9 = h

Therefore, the height is 9cm

Best of Luck!

You might be interested in
If θ is a first-quadrant angle in standard position with P(u, v) = (3, 4), evaluate cos 2 θ . -7/25 -1/5 7/25
Grace [21]

Answer:

-7/25.

Step-by-step explanation:

From the given point P we see that the hypotenuse =  √(3*2 + 4^2) = 5.

So cos  θ = 3/5

cos 2 θ =  2 cos^2 θ - 1

= 2 * (3/5)^2 -1

= -7/25.

6 0
3 years ago
What is 3.4- -6 -2.5 ?
Arturiano [62]

Answer:

6.9 I think.

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
What is the minimum number of the data set shown on the box-and-whisker plot?
Dmitriy789 [7]
Hello there, and thank you for posting your question here on brainly.

Short answer: C. 9

Why?

Box and whisker plots are confusing, the line in the middle is the median, but we don't need to do that now. The dots on the lines outside of the box show the largest and the shortest number. The plotted point on the way left is your answer, the line plotted is 9.

[Mark as Brainliest!]
3 0
4 years ago
How can I solve this?<br>Please use the simplest format​
IgorLugansk [536]

Answer:

option D is true.

Step-by-step explanation:

The right-angled triangle is shown.

From the right-angled triangle,

The angle Ф = 60°

We know that the trigonometric ratio

tan Ф = opposite / adjacent

  • opposite = 4
  • adjacent = n

Thus,

tan 60 = 4 / n

√3 = 4/n

n = 4/√3

Thus,

n = 4/√3

  = (4 × √3) / (√3 × √3)

  = 4√3 / 3

Thus,

n  = 4√3 / 3

Using Pythagorean theorem

m = √n²+4²

m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}

m=\sqrt{\frac{4^2}{3}+4^2}

m=\sqrt{\frac{64}{3}}

m=\frac{8}{\sqrt{3}}

m=\frac{8\sqrt{3}}{3}

Thus,

  • m=\frac{8\sqrt{3}}{3}
  • n  = 4√3 / 3

Therefore, option D is true.

3 0
3 years ago
Find the inverse of g(x) = 3x^2 - 5
Lorico [155]

Answer:

x

=

√

y

+

5

3

Explanation:

To find the inverse of a function expressed as

XXX

y

=

an expression in

x

rearrange the expression into the form:

XXX

x

=

an expression in

y

Given

XXX

y

=

3

x

2

−

5

Switch sides and add

5

to both sides

XXX

3

x

2

=

y

+

5

Divide both sides by

3

XXX

x

2

=

y

+

5

3

Take the square root of both sides

XXX

x

=

±

√

y

+

5

3

Since we were asked for an inverse function, I've eliminated the non-primary root (a function can not have two values for a single argument value).

Therefore

XXX

x

=

instead of Y do G

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Use a graphing calculator to solve the equation -2sin(theta)= 1.2 in the interval from 0 to 2pi.
    7·1 answer
  • Consider the right triangle ABC given below:
    8·2 answers
  • Mr. Smith is purchasing a $ 100000 house. The down payment is 20 % of the price of the house. He is given the choice of two mort
    6·1 answer
  • Sinx/4=1/2<br>find the solution
    12·1 answer
  • A man bought 8 boxes highlighters, each with 24 highlighter pens inside, for $9 each box. He sold the highlighters for $1 each.
    12·1 answer
  • Help with 10-13 ASAP. Explain your answer
    13·1 answer
  • What is 83 tenths in lowest term
    8·1 answer
  • (08.05, 08.06 MC)
    10·1 answer
  • Name A tangent please, due in an hour
    8·1 answer
  • Help me please this is really important
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!