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Darina [25.2K]
3 years ago
7

Katniss can see a hovercraft 127 feet in the air. She is 95 feet from the spot on the ground directly underneath the hovercraft.

If Katniss's eye-level is 5 feet, what is the angle of elevation to the hovercraft?
Mathematics
1 answer:
yaroslaw [1]3 years ago
3 0

I DON'T KNOW I'M JUST TRYING TO GET SOME POINTS

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A bicycle is traveling at 22 miles per hour. How many feet will it cover in 45 seconds? Round your answer to the nearest tenth o
puteri [66]
  • Answer:

<em>1452 feet</em>

  • Step-by-step explanation:

<em>1 hour = 60min×60sec = 3600 sec</em>

<em>1 miles = 5280 feet</em>

<em>22 miles = 22×5280ft = 116160 ft</em>

<em />

<em>3600sec ................. 116160 ft</em>

<em>45sec ................................ x ft</em>

<em>x = 45×116160/3600</em>

<em>= 5227200/3600</em>

<em>= 1452 feet</em>

7 0
3 years ago
Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the popu
tia_tia [17]

Answer:

The minimum head breadth that will fit the clientele is 4.4 inches.

The maximum head breadth that will fit the clientele is 7.8 inches.

Step-by-step explanation:

Let <em>X</em> = head breadths of men that is considered for the helmets.

The random variable <em>X</em> is normally distributed with mean, <em>μ</em> = 6.1 and standard deviation, <em>σ</em> = 1.

To compute the probability of a normal distribution we first need to convert the raw scores to <em>z</em>-scores using the formula:

z=\frac{x-\mu}{\sigma}

It is provided that the helmets will be designed to fit all men except those with head breadths that are in the smallest 4.3% or largest 4.3%.

Compute the minimum head breadth that will fit the clientele as follows:

P (X < x) = 0.043

⇒ P (Z < z) = 0.043

The value of <em>z</em> for this probability is:

<em>z</em> = -1.717

*Use a <em>z</em>-table.

Compute the value of <em>x</em> as follows:

z=\frac{x-\mu}{\sigma}\\-1.717=\frac{x-6.1}{1}\\x=6.1-(1.717\times 1)\\x=4.383\\x\approx4.4

Thus, the minimum head breadth that will fit the clientele is 4.4 inches.

Compute the maximum head breadth that will fit the clientele as follows:

P (X > x) = 0.043

⇒ P (Z > z) = 0.043

⇒ P (Z < z) = 1 - 0.043

⇒ P (Z < z) = 0.957

The value of <em>z</em> for this probability is:

<em>z</em> = 1.717

*Use a <em>z</em>-table.

Compute the value of <em>x</em> as follows:

z=\frac{x-\mu}{\sigma}\\1.717=\frac{x-6.1}{1}\\x=6.1+(1.717\times 1)\\x=7.817\\x\approx7.8

Thus, the maximum head breadth that will fit the clientele is 7.8 inches.

5 0
3 years ago
Consider f and c below. f(x, y, z) = (y2z + 2xz2)i + 2xyzj + (xy2 + 2x2z)k,
qaws [65]
\dfrac{\partial f}{\partial x}=y^2z+2xz^2
f(x,y,z)=xy^2z+x^2z^2+g(y,z)

\dfrac{\partial f}{\partial y}=2xyz+\dfrac{\partial g}{\partial y}=2xyz
\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)

\dfrac{\partial f}{\partial z}=xy^2+2x^2z+\dfrac{\mathrm dh}{\mathrm dz}=xy^2+2x^2z
\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=0

\implies f(x,y,z)=xy^2z+x^2z^2+C
8 0
3 years ago
Evaluate the logarithmic expression Log subscript5^25 +log subscript 5^625/logsubscript5^100. The value of the expression, round
Lady bird [3.3K]
Hello !
Here are some rules for logarithms :    log ₐ b = n ⇔ aⁿ = b
                                                             log ₐ aⁿ = n
                                                             log ₐ (b·c) = logₐ b + log ₐ  c                                                                                                                  
                                                             log ₐ bⁿ = n· log ₐ b                                        ____________________________________________________
25=5²
625=5⁴
100 = 5² · 2²
____________________________________________________



(log₅ 25 + log₅ 625) / log₅100 =
 (log₅ 5²+ log₅ 5⁴) / log₅ (5² · 2²) =
 (log₅ 5²+ log₅ 5⁴) /( log₅ 5² + log₅ 2²) =
(2 + 4)/(2+log₅ 2² ) =
 6/ (2+2·log₅2)=
6/2 + 6/ (2·log₅2) =

3+ 3/log₅2
log₅2 = 0.5

So 3+ 3/log₅2 = 3 + 3/0.5 =3 + 6 = 9 

Answer : 9






3 0
3 years ago
HELPP!!! 15 PPP ill mark you as brain!
vesna_86 [32]

Alright so first he paid 45 for the guitar he resold it for 51.75(15% of 45 is 6.75) then spent 18.63(36% is 18.63)on books

I hope this helped...

3 0
3 years ago
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