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3 years ago

A) 31 c) 30 b) 28 d) 61

Mathematics

1 answer:

Fynjy0 [20]3 years ago

4 0

Answer:

A) 31

Step-by-step explanation:

The difference of low-end values for successive classes is 31. This is the class width.

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Find the volume of a right circular cone that has a height of 11.4 in and a base with a radius of 5.1 in. Round your answer to t

ella [17]

Answer:

Step-by-step explanation:

h=11.4 in

r=5.1 in

v=3.14*r^2*(h/3)

V=3.14*5.1^2*(11.4/3)=3.14*26.01*3.8=310.35

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2 years ago

All eleven letters in the word GRASSHOPPER are put in a box. What is the probability of drawing a consonant from the box?

Anna007 [38]

R, h, g, s, and p are all constants, so that would be 8/11, or 72% of a chance of getting a consonant.

I hope this answer helped you! If you have any further questions or concerns, feel free to ask! :)

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2 years ago

Write each of the following as a function of theta.<br> 1.) sin(pi/4 - theta) 2.) tan(theta+30°)

Paladinen [302]

Step-by-step explanation:

Let x represent theta.

$\sin( \frac{\pi}{4} - x )$

Using the angle addition trig formula,

$\sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y)$

$\sin( \frac{\pi}{4} ) \cos(x) - \cos( \frac{\pi}{4} ) \sin(x)$

$( \frac{ \sqrt{2} }{2}) \cos(x) - (\frac{ \sqrt{2} }{2} )\sin(x)$

Multiply one side at a time

Replace theta with x , the answer is

$\frac{ \sqrt{2} \cos(x) }{2} - \frac{ \sin(x) \sqrt{2} }{2}$

2. Convert 30 degrees into radian

$\frac{30}{1} \times \frac{\pi}{180} = \frac{\pi}{6}$

Using tangent formula,

$\tan(x + y) = \frac{ \tan(x) + \tan(y) }{1 - \tan(x) \tan(y) }$

$\frac{ \tan(x) + \tan( \frac{\pi}{6} ) }{1 - \tan(x) \tan( \frac{\pi}{6} ) }$

Tan if pi/6 is sqr root of 3/3

$\frac{ \tan(x) + ( \frac{ \sqrt{3} }{3} ) }{1 - \tan(x) (\frac{ \sqrt{3} }{3} ) }$

Since my phone about to die if you later simplify that,

you'll get

$\frac{(3 \tan(x) + \sqrt{3} )(3 + \sqrt{3} \tan(x) }{3(3 - \tan {}^{2} (x) }$

Replace theta with X.

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2 years ago

He solution is n = –2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?

Nimfa-mama [501]

Answer:

$-0.8=-0.8$

Step-by-step explanation:

We have been given that n=-2 verified as a solution to the equation $1.4n+2=2n+3.2$ .

As n=-2 is the solution for our given equation, so it will satisfy our equation.

Let us substitute n=-2 is our given equation.

$1.4*-2+2=2*-2+3.2$

$-2.8+2=-4+3.2$

$-0.8=-0.8$

Since the value of n satisfies our equation, therefore, last line of the justification will be $-0.8=-0.8$ .

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2 years ago

Calculate interior angle of a regular 15 sided polygon

AleksAgata [21]

Answer:

156°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 15 , then

sum = 180° × 13 = 2340°

interior angle = $\frac{sum}{n}$ = $\frac{2340}{15}$ = 156°

8 0

3 years ago