All categories

3 years ago

Solve this pls. WILL AWARD BRAINLIEST TO BEST ANSWER!!!!!

Mathematics

1 answer:

telo118 [61]3 years ago

4 0

Answer: 31.18

Step-by-step explanation:

The problem is focused on mainly the right triangle made up of points M, Q, and R. This problem can be solved with the base formula, b = a · tan(β) where a = the length of line MR, β = m∠MQR, and b is the unknown length of RQ.

Given:

RQ = 18 · tan(60°)

Point M is the midpoint of line PM and line MR. Since MP is equal to 18, MR has to be 18 as well. This means that the value of a is 18.

The vertex of ∠MQR is Q, which is 60°.

Step 1: Find the tangent of 60°

The tangent of 60° is √3

Step 2: Solve

RQ = 18 · √3

18 · √3 = 31.18

RQ is equal to 31.18

You might be interested in

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

4 0

3 years ago

Please hurry I will mark you brainliest.

ivann1987 [24]

Answer:

12862.83cm³

Step-by-step explanation:

Volume of the Box: [L×W×H] or [30x30x30] or [27000cm³]

Volume of the Sphere: [ $\frac{4}{3}\pi r^{3}$ ] ( $\pi$ =pi=3.14) (r=radius=15) or [ $\frac{4}{3}$ ×3.14×3375] or [14137.17cm³]

Volume of the empty space: 27000cm³-14137.17cm³=12862.83cm³

Btw there are online tools to help you find the volume of a sphere (just use it after you understand the equation)

Hope I helped!

4 0

2 years ago

3(2−4)=−30 step by step

Margarita [4]

3•2-3•4
6-12=-30
-6=-30
false

6 0

3 years ago

A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 300 milliliters

PilotLPTM [1.2K]

Answer:

e. 0.0072

Step-by-step explanation:

We are given that a bottling company uses a filling machine to fill plastic bottles with cola. And the contents vary according to a Normal distribution with Mean, μ = 298 ml and Standard deviation, σ = 3 ml .

Let Z = $\frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1) where, Xbar = mean contents of six randomly