All categories

3 years ago

What is the volume of the figure composed of two congruent triangular prisms if a = 5 units, b = 2 units, and c = 7 units?

Mathematics

2 answers:

marin [14]3 years ago

4 0

Answer/Step-by-step explanation:

Volume = l*w*h

or in this case a*b*c

A*B = 5*2 = 10

Ab = 10

10* C = 10*7 = 70

ABC = 70^3 or 70 cubic units

<h2>Answer : C. 70 cubic units</h2>

sergiy2304 [10]3 years ago

3 0

Answer:

70 cubic units

You might be interested in

A regctangle has a length of 22 meters less than 6 times its width. If the area of the rectangle is 3780 square meters, find the

Olenka [21]

Answer:

length = 140 meters

width = 27 meters

Step-by-step explanation:

length=x

width=y

6y-22=x

xy=3780

4 0

3 years ago

A sample of 5 buttons is randomly selected and the following diameters are measured in inches. Give a point estimate for the pop

Helen [10]

Answer:

$s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}$

But we need to calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_I}{n}$

And replacing we got:

$\bar X = \frac{ 1.04+1.00+1.13+1.08+1.11}{5}= 1.072$

And for the sample variance we have:

$s^2 = \frac{(1.04-1.072)^2 +(1.00-1.072)^2 +(1.13-1.072)^2 +(1.08-1.072)^2 +(1.11-1.072)^2}{5-1}= 0.00277\ approx 0.003$

And thi is the best estimator for the population variance since is an unbiased estimator od the population variance $\sigma^2$

$E(s^2) = \sigma^2$

Step-by-step explanation:

For this case we have the following data:

1.04,1.00,1.13,1.08,1.11

And in order to estimate the population variance we can use the sample variance formula:

$s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}$

But we need to calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_I}{n}$

And replacing we got:

$\bar X = \frac{ 1.04+1.00+1.13+1.08+1.11}{5}= 1.072$

And for the sample variance we have:

$s^2 = \frac{(1.04-1.072)^2 +(1.00-1.072)^2 +(1.13-1.072)^2 +(1.08-1.072)^2 +(1.11-1.072)^2}{5-1}= 0.00277\ approx 0.003$

And thi is the best estimator for the population variance since is an unbiased estimator od the population variance $\sigma^2$

$E(s^2) = \sigma^2$

3 0

3 years ago

For a saturday matinee, adult tickets cost $5.50 and kids under 12 pay only $4.00. if 60 tickets are sold for a total of $285. h

podryga [215]

30 tickets for the kids and 30 for the adult

3 0

2 years ago

Which expression is equivalent to (9x2y6)−1/2?

galben [10]

Answer:

B. 1/(3xy^3)

Step-by-step explanation:

The minus sign can be dealt with first, then the root taken.

$\left(9x^{2}y^{6}\right)^{-\frac{1}{2}}=\dfrac{1}{\sqrt{9x^{2}y^{6}}}\\\\=\dfrac{1}{\sqrt{9}\sqrt{x^2}\sqrt{y^6}}=\dfrac{1}{3xy^3}$

8 0

3 years ago

Drag and drop question I need help on ASAP

klasskru [66]

[] Similar

-> The triangles are similar because they were "mirrored" by the...

[] SSS

-> ... by the SSS similarity theorem, the sides are...

[] Proportional

-> ... the sides are proportional.

[] AB/AC

-> Since the sides are proportional, dividing corresponding sides will leave us with the same number

[] For the last two I think I am missing some information as I do not have any numbers and know where they got 85 from.

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

3 0

2 years ago