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2 years ago

Find the volume of the triangular prism 3cm 4 cm 5cm 11cm

Mathematics

1 answer:

vichka [17]2 years ago

4 0

Answer:

82.5cm²

Step-by-step explanation:

The volume of a triangular prism is : V = 1/2 * a * c * h

V = 1/2 * 3 * 5 * 11

= 165/2

= 82.5cm²

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(This is literally 7th grade math dude should be easy for most of you)

Korolek [52]

Answer:

a. no b. 40.05

Step-by-step explanation:

a. to figure out the number of goals per game you have to divide the total amount of goals by the number of games:

last season: 41 ÷ 15 = 2.73

this season: 24 ÷ 9 = 2.67

as you can see the answer to the last season equation is higher than the this season meaning the player scored more goals last season.

b. we already know that the amount of games the player won each game (all of them supposedly being exactly even) is 2.67. so what we have to do is multiply it by 15 the supposed number of games the player is playing this season to get the total number of goals they will get for the entire season:

2.67 x 15 = 40.05 = the prediction of the total goals of the player

7 0

2 years ago

Read 2 more answers

Which models show 60%? Check all that apply.

goldfiish [28.3K]

Answer:

OPTION A AND B.

AS OPTION A IS 3/5=6/10=60%

Option C=60/100=60%

6 0

3 years ago

Read 3 more answers

Find all real solutions of the equation. (if there is no real solution, enter no real solution.) 35x2 12x − 36

solmaris [256]

Important: 35x2 12x − 36 is not an equation; to obtain an equation, you must set <span>35x2 12x − 36 = to 0:

</span><span>35x^2 + 12x − 36 = 0. Also, "the square of x" must be represented by "x^2," and you must insert either the + or the - sign in front of the term 12x.

I am assuming that you meant </span>35x^2 + 12x − 36 = 0.

If that is indeed the case, then a = 35, b = 12 and c = -36

and the discriminant is b^2 - 4ac, or (12)^2 - 4(35)(-36) = 5184.

Since the discriminant is positive, this equation has 2 real, unequal solutions. They are
-12 plus or minus sqrt(5184)
x = -----------------------------------------
2(35)

7 0

3 years ago

How do I solve: 2 sin (2x) - 2 sin x + 2√3 cos x - √3 = 0

ziro4ka [17]

Answer:

$\displaystyle x = \frac{\pi}{3} +k\, \pi$ or $\displaystyle x =- \frac{\pi}{3} +2\,k\, \pi$ , where $k$ is an integer.

There are three such angles between $0$ and $2\pi$ : $\displaystyle \frac{\pi}{3}$ , $\displaystyle \frac{2\, \pi}{3}$ , and $\displaystyle \frac{4\,\pi}{3}$ .

Step-by-step explanation:

By the double angle identity of sines:

$\sin(2\, x) = 2\, \sin x \cdot \cos x$ .

Rewrite the original equation with this identity:

$2\, (2\, \sin x \cdot \cos x) - 2\, \sin x + 2\sqrt{3}\, \cos x - \sqrt{3} = 0$ .

Note, that $2\, (2\, \sin x \cdot \cos x)$ and $(-2\, \sin x)$ share the common factor $(2\, \sin x)$ . On the other hand, $2\sqrt{3}\, \cos x$ and $(-\sqrt{3})$ share the common factor $\sqrt[3}$ . Combine these terms pairwise using the two common factors:

$(2\, \sin x) \cdot (2\, \cos x - 1) + \left(\sqrt{3}\right)\, (2\, \cos x - 1) = 0$ .

Note the new common factor $(2\, \cos x - 1)$ . Therefore:

$\left(2\, \sin x + \sqrt{3}\right) \cdot (2\, \cos x - 1) = 0$ .

This equation holds as long as either $\left(2\, \sin x + \sqrt{3}\right)$ or $(2\, \cos x - 1)$ is zero. Let $k$ be an integer. Accordingly:

$\displaystyle \sin x = -\frac{\sqrt{3}}{2}$ , which corresponds to $\displaystyle x = -\frac{\pi}{3} + 2\, k\, \pi$ and $\displaystyle x = -\frac{2\, \pi}{3} + 2\, k\, \pi$ .
$\displaystyle \cos x = \frac{1}{2}$ , which corresponds to $\displaystyle x = \frac{\pi}{3} + 2\, k \, \pi$ and $\displaystyle x = -\frac{\pi}{3} + 2\, k \, \pi$ .

Any $x$ that fits into at least one of these patterns will satisfy the equation. These pattern can be further combined:

$\displaystyle x = \frac{\pi}{3} + k \, \pi$ (from $\displaystyle x = -\frac{2\,\pi}{3} + 2\, k\, \pi$ and $\displaystyle x = \frac{\pi}{3} + 2\, k \, \pi$ , combined,) as well as
$\displaystyle x =- \frac{\pi}{3} +2\,k\, \pi$ .

7 0

3 years ago

Mrs. Levi's class raised $217.35 in one-time donations for the library's new book collection. The class also had 4 people pledge

nexus9112 [7]

Answer: $817.35

Step-by-step explanation:

150x4 = 600

600+217.35 = 817.35

7 0

3 years ago