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
MariettaO [177]
2 years ago
14

Find the volume of the right triangular prism shown:

Mathematics
1 answer:
LekaFEV [45]2 years ago
7 0

Answer:

960cm³

Step-by-step explanation:

Find the base of the triangle (use phytagoras theorem)

c²= a²+b²

20²= 16²+b²

400=256+b²

b²=400-256

b²= 144

b=

\sqrt{144}

base= 12

Volume: (1/2×b×h)×l

= (1/2×12×16)×10

=(6×16)×10

=96×10

=960cm³

You might be interested in
Plz help due soon
Zina [86]

Answer:

D

Step-by-step explanation:

6% of 40 is 2.4, 40.00+ 2.40=42.40

6 0
3 years ago
Read 2 more answers
Find the coordinates of the image after a translation of the figure below using (x, y) (x + 3, y + 2).
san4es73 [151]
A' (. -4+3,-3+2). A' ( -1,5)
B' ( 2,3)
C' ( 6,7)
D' ( 5,-3)
6 0
3 years ago
Read 2 more answers
The 5th term in a geometric sequence is 160. The 7th term is 40. What are possible values of the 6th term of the sequence?
omeli [17]

Answer:

C. The 6th term is positive/negative 80

Step-by-step explanation:

Given

Geometric Progression

T_5 = 160

T_7 = 40

Required

T_6

To get the 6th term of the progression, first we need to solve for the first term and the common ratio of the progression;

To solve the common ratio;

Divide the 7th term by the 5th term; This gives

\frac{T_7}{T_5} = \frac{40}{160}

Divide the numerator and the denominator of the fraction by 40

\frac{T_7}{T_5} = \frac{1}{4} ----- equation 1

Recall that the formula of a GP is

T_n = a r^{n-1}

Where n is the nth term

So,

T_7 = a r^{6}

T_5 = a r^{4}

Substitute the above expression in equation 1

\frac{T_7}{T_5} = \frac{1}{4}  becomes

\frac{ar^6}{ar^4} = \frac{1}{4}

r^2 = \frac{1}{4}

Square root both sides

r = \sqrt{\frac{1}{4}}

r = ±\frac{1}{2}

Next, is to solve for the first term;

Using T_5 = a r^{4}

By substituting 160 for T5 and ±\frac{1}{2} for r;

We get

160 = a \frac{1}{2}^{4}

160 = a \frac{1}{16}

Multiply through by 16

16 * 160 = a \frac{1}{16} * 16

16 * 160 = a

2560 = a

Now, we can easily solve for the 6th term

Recall that the formula of a GP is

T_n = a r^{n-1}

Here, n = 6;

T_6 = a r^{6-1}

T_6 = a r^5

T_6 = 2560 r^5

r = ±\frac{1}{2}

So,

T_6 = 2560( \frac{1}{2}^5) or T_6 = 2560( \frac{-1}{2}^5)

T_6 = 2560( \frac{1}{32}) or T_6 = 2560( \frac{-1}{32})

T_6 = 80 or T_6 = -80

T_6 =±80

Hence, the 6th term is positive/negative 80

8 0
3 years ago
If two vertices of an equilateral triangle are the point (3,4) and (-2,3), find the coordinate of third vertic!s
faust18 [17]
Use Photomath math it’s really good download it
7 0
3 years ago
9. Verizon offers a cell phone plan that includes a flat fee of $85 per month for the first phone and $7.50 a
Shalnov [3]

Answer:

4 phones

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which geometric solid is formed by rotating the rectangle about line m?
    8·1 answer
  • How do you solve 26/57= 849/5x
    12·1 answer
  • Two consecutive integers are such that 7 times the biggest and then added to the smallest equals
    14·1 answer
  • 7. If f(x) = 2x2 - x + 1, find f(2).
    8·1 answer
  • Write an equation of the line below.
    13·2 answers
  • Can someone please answer this problem for me
    6·1 answer
  • -74 + 36.2=<br> Step by step
    10·2 answers
  • How does a dilation with a scale factor of 1 affect the preimage
    8·2 answers
  • Solve for the letter d
    8·2 answers
  • Two trains leave towns 664 miles apart at the same time and travel toward each other. One train travels 16 mih faster than the o
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!