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Art [367]
3 years ago
8

Angle A and angle B are complementary angles. If m angle A = (x + 8) and m

Mathematics
1 answer:
Tanzania [10]3 years ago
7 0
Answer:

17

Explanation:

(x + 8) + (8x + 1) = 90

Combine like terms to get:

9x + 9 = 90

Subtract 9 on both sides:

9x = 81

Divide by 9:

x = 9

Plug in 9 for x in
9 + 8 = ?

9 + 8 = 17
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You have a rectangular yard that measures 16 feet Long by 14 feet wide.it id covered in grass except For in the Center,where the
BartSMP [9]
A of the yard= L*l=16*14=  224 feet²

A of the fountain= πR²

d=2R
4=2R

R=4:2=2

A of the fountain= 2²π=4 *3,14= 12,56 feet²

A of the grass portion= 224-12,56=  211,43 feet²

answer d)211,43 feet²
5 0
3 years ago
Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A
belka [17]

Answer:

a) y=0.00991 x +1.042  

b) r^2 = 0.7503^2 = 0.563

c) r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503  

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

y = mx +b

Wehre

m=\frac{S_{xy}}{S_{xx}}  

And:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625  

And the slope would be:  

m=\frac{625}{63085.714}=0.00991  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429  

\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7  

And we can find the intercept using this:  

b=\bar y -m \bar x=7-(0.00991*601.429)=1.042  

And the line would be:

y=0.00991 x +1.042  

Part b

The correlation coefficient is given by:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=7 \sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354  

r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503  

The determination coefficient is given by:

r^2 = 0.7503^2 = 0.563

Part c

r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503  

4 0
3 years ago
SAM IS painting her sisters wall. The wall has 2 windows. It has a base 0f 100 and a height of 200. What is the area of the wall
juin [17]

Answer:

200 x 100 = 2000, he might not

Step-by-step explanation:

4 0
3 years ago
What is the answer 3 3/4 - 2 5/6=​
Rom4ik [11]

Answer:

11/12

Step-by-step explanation:

3 3/4 - 2 5/6

Convert to improper fractions

15/4 - 17/6

Find a common denominator (12)

45/12 - 34/12

Subtract

11/12

Hope this helps :)

7 0
3 years ago
Read 2 more answers
??? answer + explanation is 11 points
Tanya [424]

Answer:

c

Step-by-step explanation:

80/10=8. so answer is c

5 0
1 year ago
Read 2 more answers
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