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likoan [24]
3 years ago
11

Find a numerical value “a” and “b” in the figure below

Mathematics
1 answer:
Nady [450]3 years ago
5 0

Check the picture below.

make sure your calculator is in Degree mode.

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Find the value of x. What kind of angles are these?
VLD [36.1K]

Answer:

\displaystyle Corresponding\:Angles; 40 = x

Step-by-step explanation:

Corresponding Angles are <em>congruent</em>, therefore you set both angle measures equal to each other:

\displaystyle 135° = [3x + 15]° → 120 = 3x; 40 = x

I am joyous to assist you at any time.

5 0
2 years ago
Read 2 more answers
Solve for A if F=MA and F=10 and M=2.5
gogolik [260]

Answer:

\boxed{\sf A = 4}

Given:

F = MA

F = 10

M = 2.5

To Find:

Value of A

Step-by-step explanation:

\sf Substituting \ values \ of \ F \ and \ M \ in \ F = MA:

\sf \implies 10 = 2.5A

\sf \implies 2.5A = 10

\sf Dividing \ both \ side \ of \  2.5A = 10 \ by \ 2.5:

\sf \implies \frac{2.5}{2.5} A  =  \frac{10}{2.5}

\sf \frac{2.5}{2.5}  = 1 :

\sf \implies  A  =  \frac{10}{2.5}

\sf \frac{4 \times  \cancel{2.5}}{ \cancel{2.5}}  = 4 :

\sf \implies A = 4

3 0
3 years ago
Read 2 more answers
An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
-Dominant- [34]

The largest possible volume of the given box is; 96.28 ft³

<h3>How to maximize volume of a box?</h3>

Let b be the length and the width of the base (length and width are the same since the base is square).

Let h be the height of the box.

The surface area of the box is;

S = b² + 4bh

We are given S = 100 ft². Thus;

b² + 4bh = 100

h = (100 - b²)/4b

Volume of the box in terms of b will be;

V(b) = b²h = b² * (100 - b²)/4b

V(b) = 25b - b³/4

The volume is maximum when dV/db = 0. Thus;

dV/db = 25 - 3b²/4

25 - 3b²/4 = 0

√(100/3) = b

b = 5.77 ft

Thus;

h = (100 - (√(100/3)²)/4(5.77)

h = 2.8885 ft

Thus;

Largest volume = [√(100/3)]² * 2.8885

Largest Volume = 96.28 ft³

Read more about Maximizing Volume at; brainly.com/question/1869299

#SPJ1

4 0
1 year ago
Suppose compact fluorescent light bulbs last, on average, 11,500 hours. The distribution is normal and the standard deviation is
juin [17]

Answer:

2.275%

Step-by-step explanation:

The first thing to do here is to calculate the z-score

Mathematically;

z-score = (x-mean)/SD

from the question, x = 12,300 hours , mean = 11,500 hours while Standard deviation(SD) = 400 hours

Plugging the values we have;

z-score = (12,300-11,500)/400 = 800/400 = 2

Now, we want to calculate P(z ≤ 2)

This is so because we are calculating within a particular value

To calculate this, we use the z-score table.

Mathematically;

P(z ≤ 2) = 1 - P(z > 2) = 1 - 0.97725 = 0.02275

To percentage = 2.275%

6 0
3 years ago
How many times does 3 go into 36
TiliK225 [7]
36 divided by 3 =12
8 0
3 years ago
Read 2 more answers
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