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
svetlana [45]
3 years ago
6

What is the volume of the triangular prism shown below ?

Mathematics
2 answers:
jekas [21]3 years ago
7 0

Answer:

B

Step-by-step explanation:

The volume (V) of a triangular prism is

V = area of triangular end × length

area of Δ = \frac{1}{2} bh

where b is the base and h the perpendicular height

here b = 8 and h = 5, so

area = 0.5 × 8 × 5 = 20 units²

the length of the prism is 10, hence

V = 20 × 10 = 200 units³

puteri [66]3 years ago
5 0

The answer to your question is b

You might be interested in
Please dont ignore, Need help!!! Use the law of sines/cosines to find..
Ket [755]

Answer:

16. Angle C is approximately 13.0 degrees.

17. The length of segment BC is approximately 45.0.

18. Angle B is approximately 26.0 degrees.

15. The length of segment DF "e" is approximately 12.9.

Step-by-step explanation:

<h3>16</h3>

By the law of sine, the sine of interior angles of a triangle are proportional to the length of the side opposite to that angle.

For triangle ABC:

  • \sin{A} = \sin{103\textdegree{}},
  • The opposite side of angle A a = BC = 26,
  • The angle C is to be found, and
  • The length of the side opposite to angle C c = AB = 6.

\displaystyle \frac{\sin{C}}{\sin{A}} = \frac{c}{a}.

\displaystyle \sin{C} = \frac{c}{a}\cdot \sin{A} = \frac{6}{26}\times \sin{103\textdegree}.

\displaystyle C = \sin^{-1}{(\sin{C}}) = \sin^{-1}{\left(\frac{c}{a}\cdot \sin{A}\right)} = \sin^{-1}{\left(\frac{6}{26}\times \sin{103\textdegree}}\right)} = 13.0\textdegree{}.

Note that the inverse sine function here \sin^{-1}() is also known as arcsin.

<h3>17</h3>

By the law of cosine,

c^{2} = a^{2} + b^{2} - 2\;a\cdot b\cdot \cos{C},

where

  • a, b, and c are the lengths of sides of triangle ABC, and
  • \cos{C} is the cosine of angle C.

For triangle ABC:

  • b = 21,
  • c = 30,
  • The length of a (segment BC) is to be found, and
  • The cosine of angle A is \cos{123\textdegree}.

Therefore, replace C in the equation with A, and the law of cosine will become:

a^{2} = b^{2} + c^{2} - 2\;b\cdot c\cdot \cos{A}.

\displaystyle \begin{aligned}a &= \sqrt{b^{2} + c^{2} - 2\;b\cdot c\cdot \cos{A}}\\&=\sqrt{21^{2} + 30^{2} - 2\times 21\times 30 \times \cos{123\textdegree}}\\&=45.0 \end{aligned}.

<h3>18</h3>

For triangle ABC:

  • a = 14,
  • b = 9,
  • c = 6, and
  • Angle B is to be found.

Start by finding the cosine of angle B. Apply the law of cosine.

b^{2} = a^{2} + c^{2} - 2\;a\cdot c\cdot \cos{B}.

\displaystyle \cos{B} = \frac{a^{2} + c^{2} - b^{2}}{2\;a\cdot c}.

\displaystyle B = \cos^{-1}{\left(\frac{a^{2} + c^{2} - b^{2}}{2\;a\cdot c}\right)} = \cos^{-1}{\left(\frac{14^{2} + 6^{2} - 9^{2}}{2\times 14\times 6}\right)} = 26.0\textdegree.

<h3>15</h3>

For triangle DEF:

  • The length of segment DF is to be found,
  • The length of segment EF is 9,
  • The sine of angle E is \sin{64\textdegree}}, and
  • The sine of angle D is \sin{39\textdegree}.

Apply the law of sine:

\displaystyle \frac{DF}{EF} = \frac{\sin{E}}{\sin{D}}

\displaystyle DF = \frac{\sin{E}}{\sin{D}}\cdot EF = \frac{\sin{64\textdegree}}{39\textdegree} \times 9 = 12.9.

7 0
3 years ago
5. How many solution/s do linear inequality in two variable have?
Lostsunrise [7]

Answer:

5

C. 2

6.

A. (4, 5)

7.B.broken

line.

8.A.above the line

9.. 2x + y < 4

10.D. (-2,-3)

4 0
3 years ago
Read 2 more answers
How do I prove that a quadrilateral is a rectangle?
maw [93]
I think you want to prove that a rectangle is a quadrilateral. You can prove this with definitions. The definition of a quadrilateral is that it is a shape with four sides. Since a rectangle has four sides, that proves that a rectangle is a quadrilateral. 
7 0
3 years ago
Read 2 more answers
$59.99 if it where on sake for 25% off
gulaghasi [49]
The item would cost approximately $45. You can do this by taking the price of the item ($60) and multiply by the percent (25%). 60 x 0.25 = 15. That is the discount you would subtract from the item itself. Now you would take the original price ($60) and subtract the discount ($15). 60 - 15 = 45.
6 0
3 years ago
Read 2 more answers
9/3 divided by 1/7<br> Someone pls help
irinina [24]

Answer:

the answer is 9/21

simplified is 3/7

7 0
3 years ago
Other questions:
  • What is the m&lt;ABC?
    12·2 answers
  • 5th-6th grade math ^-^
    12·2 answers
  • What is the circumference of a circle with radius pi?​
    14·1 answer
  • 90+ POINTS PLEASE HELP Choose one problem below and use trigonometry to solve for a missing angle x of the right triangle
    13·2 answers
  • Graph a right triangle with the two points forming the hypotenuse. Using the sides,
    5·1 answer
  • Identify the transformation from figure A to figure B in the image below.
    6·1 answer
  • Please answer thiss!!! I need ASAP!
    7·1 answer
  • Please help! no links
    10·1 answer
  • PLEASE HELP ME IM TIMED WILL MARK BRAINLIEST NO LINKS
    15·1 answer
  • Given that
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!