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Molodets [167]
3 years ago
15

Help please I’ll mark brainiest

Mathematics
2 answers:
Arturiano [62]3 years ago
8 0
H= 2.1
C=6.9

Double check my answers using the picture below or by the long way (Pythagorean’s)

I suggest you memorize the drawings by heart because the 30-60-90 and the 45-45-90 right triangles are considered special in geometry and they will keep testing you on them until you graduate from university !

Hope it helps.

jenyasd209 [6]3 years ago
3 0

Answer:

h = 2.12 , c = 6.93

Step-by-step explanation:

To calculate h:

Apply the cosine identity

cos\ x =\frac{base}{hypotenuse}\\\\cos\ 45=\frac{h}{3}\\\\0.707=\frac{h}{3}\\\\h=3(0.707)\\h=2.12\\

To calculate c:

Apply the tangent identity

tan\ x=\frac{perpendicular}{base}\\\\tan\ 60=\frac{c}{4}\\\\1.732=\frac{c}{4}\\\\c=1.732(4)\\c=6.93\\

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2b^2 +32b + 128 <br> Pls answer this
KengaRu [80]

Answer:

{2b}^{2}  + 32b + 128

Factor and get

x =  - 8

8 0
3 years ago
Read 2 more answers
A mountain is in the shape of a cone whose height is about 3.7 kilometers and whose base radius is about 3 kilometers. Approxima
Lelu [443]

Answer:

34.54 km^{3}

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Height (h) = 3.7 km

Base radius (r) = 3 km

We can calculate the volume of mountain by using following formula,

So, volume of cone = (1/3)πr^{2}h

By putting the value in the formula, we get

= (1/3) π × 3^{2} × 3.7

= 11.1π

= 34.54 km^{3}

Hence, the volume of the mountain is  34.54 km^{3}.

7 0
3 years ago
A manufacturing company regularly conducts quality control checks at specified periods on the products it manufactures. Historic
Rina8888 [55]

Answer:

The probability that none of the LED light bulbs are​ defective is 0.7374.

Step-by-step explanation:

The complete question is:

What is the probability that none of the LED light bulbs are​ defective?

Solution:

Let the random variable <em>X</em> represent the number of defective LED light bulbs.

The probability of a LED light bulb being defective is, P (X) = <em>p</em> = 0.03.

A random sample of <em>n</em> = 10 LED light bulbs is selected.

The event of a specific LED light bulb being defective is independent of the other bulbs.

The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p</em> = 0.03.

The probability mass function of <em>X</em> is:

P(X=x)={10\choose x}(0.03)^{x}(1-0.03)^{10-x};\ x=0,1,2,3...

Compute the probability that none of the LED light bulbs are​ defective as follows:

P(X=0)={10\choose 0}(0.03)^{0}(1-0.03)^{10-0}

                =1\times 1\times 0.737424\\=0.737424\\\approx 0.7374

Thus, the probability that none of the LED light bulbs are​ defective is 0.7374.

6 0
3 years ago
Which of the following pairs of functions are inverses of each other?
yan [13]
The answer is c hopefully it helps
3 0
3 years ago
Simplify this expression: 4p + 9 + (–7p) + 2        A. 3p + 11  B. 11p + 11  C. –3p + 11  D. 3p + 7
lutik1710 [3]
4p - 7p + 9 + 2
= -3p + 11
=C
8 0
3 years ago
Read 2 more answers
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