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IRINA_888 [86]
3 years ago
10

Show your work for the last one! I kind of need this quickly :) <3

Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0

Answer:

3. is 3 (m - 16)(m + 4)

7. is also 3. (2x + 5)(3x - 5)

12. is 4 (x - 6)(x - 4)

the last one is i dont know

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An architect wants an artistic flair to the house he is building, so he designs windows that are three fourths of a circle in sh
larisa86 [58]

The amount of rim needed for each window is 141.4 in

<h3>How to find the length of the outer rim?</h3>

Since the outer rim is the length of an arc, we use the formula for length of an arc of a circle.

<h3>What is an arc?</h3>

An arc is part of section of the circumference of a circle

<h3>What is the length of an arc?</h3>

So, length of arc, L = Ф/360 × 2πR where

  • Ф = central angle of arc and
  • R = radius of circle.

Gven that for the window rim

  • Ф = angle of the rim = 270° and
  • R = radius of the rim = 30 in

Substituting the values of the variables into the equation for L, we have

L = Ф/360 × 2πR

L = 270°/360° × 2π × 30 in

L = 3/4 × 2π × 30 in

L = 3/2 × π × 30 in

L = 3 × π × 15 in

L = 45π in

L = 141.37 in

L ≅ 141.4 in

So, the amount of rim needed for each window is 141.4 in

Learn more about length of an arc here:

brainly.com/question/8402454

#SPJ1

7 0
2 years ago
If f(x) =3^x+10 and g(x) =4x -2 find (f+g)(x)
Valentin [98]

Answer:

(f+g)(x)=3^x+4x+8

if f(x)=3^x+10 and g(x)=4x-2.

Step-by-step explanation:

We are given f(x)=3^x+10 and g(x)=4x-2.

We are asked to find (f+g)(x).

(f+g)(x) means f(x)+g(x)

(f+g)(x)=(3^x+10)+(4x-2)

You only have one pair of like terms, that is the constants.

(f+g)(x)=3^x+4x+10-2

(f+g)(x)=3^x+4x+8

7 0
3 years ago
Read 2 more answers
For a sample variance of n = 36 that has a sample variance of 1,296, what is the estimated error for the sample?
lukranit [14]

Answer:

6

Step-by-step explanation:

Given :

Sample size, n = 36

Sample variance, s² = 1296

The estimated standard error can be obtained using the relation :

Standard Error, S. E = standard deviation / √n

Standard deviation, s = √1296 = 36

S.E = 36/√36

S.E = 36/6

S.E = 6

Hence, estimated standard error = 6

7 0
3 years ago
Complete the point-slope equation of the line through (-5,4) and (1,6). Use exact numbers.
BigorU [14]

ANSWER

y - 6 =  \frac{2}{7} (x - 1)

EXPLANATION

The point-slope equation of a straight line is given by:

y-y_1=m(x-x_1)

Where m is the slope.

The line goes through (-5,4) and (1,6).

The slope of this line is,

m =  \frac{6 - 4}{1 -  - 6}

m =  \frac{2}{7}

The point-slope equation is

y  - 6 =  \frac{2}{7} (x - 1)

7 0
3 years ago
Please help me with this math problem‼️
Alex Ar [27]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
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