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2 years ago

Find the volume of the solid (pls help me :// )

Mathematics

1 answer:

sveticcg [70]2 years ago

3 0

<h3>Answer: 40 cubic cm</h3>

=====================================================

Explanation:

The triangular face has area of base*height/2 = 4*10/2 = 40/2 = 20 square cm.

Multiply this prism base area by the depth of the prism to get 20*2 = 40 cubic cm.

It might help to place the triangular prism so the triangular face is along the ground, so you can think of that face as the floor of this triangular room. The volume of this room is equal to the floor area times the height of the room.

volume of the room = (floor area)*(height of the room)

volume of the prism = (base area)*(height of the prism)

For any prism, the base faces are always parallel and congruent to each other.

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2= 1/6 (10x+6) solve the x

azamat

Answer:

x=3/5 or 0.6

Step-by-step explanation:

8 0

4 years ago

Find the common ratio of the geometric sequence.

Kay [80]

Answer:

The common ratio is $\frac{1}{x^4}$

Step-by-step explanation:

Geometric sequence:A geometric sequence is a sequence in which the ratio of any term to the preceding term of that term is always constant.

Common ratio: The ratio of any term to the preceding term of that term.

The $n^{th}$ term of a geometric sequence is represented by $a_n=ar^{n-1}$ .

The $1^{st}$ term of the sequence = a.

The sum of first n term is

$S_n=\frac{a(1-r^n)}{1-r}$

The common ratio = r.

Given geometric sequence,

$\frac{1}{x^{10}}$ , $\frac{1}{x^{14}}$ , $\frac{1}{x^{18}}$ , $\frac{1}{x^{22}}$ ........

The common ratio is

$=\frac{\textrm{second term}}{\textrm{first term}}$

$=\frac{\frac{1}{x^{14}}}{\frac{1}{x^{10}}}$

$=\frac{x^{10}}{x^{14}}$

$=\frac{1}{x^4}$

6 0

4 years ago

A line has a slope of -4 and passes through the point (0,5). Write the equation of this line in standard form. Be sure to expres

emmainna [20.7K]

Answer:

Final answer in standard form of the line is $4x+y=5$ .

Step-by-step explanation:

Given that slope of the lime m = -4

Now we need to find the equation of a line that has a slope of -4 and passes through the point (0,5). Write the equation of this line in standard form.

So plug the given slope m=-4 and the point (0,5) into point slope formula:

$y-y_1=m\left(x-x_1\right)$

$y-5=-4\left(x-0\right)$

$y-5=-4\left(x\right)$

$y-5=-4x$

$y=-4x+5$

$4x+y=5$

Hence final answer in standard form of the line is $4x+y=5$ .

5 0

3 years ago

Read 2 more answers

4. At a local university 54.3% of incoming first-year students have computers. If 3 students are selected at random, and the fol

valentinak56 [21]

Answer:

a) 0.0954

b) 0.9045

c) 0.1601

Step-by-step explanation:

We are given the following information:

We treat first-year students having computers as a success.

P(first-year students have computers) = 54.3% = 0.543

Then the number of first year students follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 3

a) P(None have computers)

$P(x =0) \\\\= \binom{3}{0}(0.543)^0(1-0.543)^3\\\\= 0.0954$

b) P(At least one has a computer)

$P(x \geq 1) \\\\= \binom{3}{0}(0.543)^0(1-0.543)^3+\binom{3}{1}(0.543)^1(1-0.543)^2+\binom{3}{3}(0.543)^3(1-0.543)^0\\\\=0.3402+0.4042+0.1601= 0.9045$

c) P(All have computers)

$P(x =3) \\\\= \binom{3}{3}(0.543)^3(1-0.543)^0\\\\= 0.1601$

3 0

3 years ago

Ugh help plz I don’t get this

STatiana [176]

The answer is athe answer is a, although your mouse was in the way so slightly difficult to read

7 0

3 years ago