On a right triangle, to find one missing side you can use this equation
a^2 + b^2 = c^2
a and b are the sides next to the right angle, and c is the hypotenuse (side not connected to right angle).
You first need to find the length of the dotted line before finding x. This is because to be able to use the above formula, you have to know the length of two out of three of the sides.
To solve the length of the dotted line, note that it also makes a triangle with the 5 unit line and the 5 √5 unit line. You can plug these numbers into the formula.
(5)^2+b^2=(5 √5)^2
25+b^2=125
b^2=100
b=10
Now that you know the length of the dotted line is 10 units, you can now solve for x
(20)^2+(10)^2=x^2
400+100=x^2
500=x^2
x= √500, which equals 22.361
If Connie spent $26 on 8 books, The number of hard covers she buy is 5 hard cover.
<h3>
Number of hardcover bought</h3>
Let h represent hard cover
Let p represent paperbacks
Formulate an equation
h + p= 8.......(1)
4h + 2p= 26......(2)
Multiply equation (1) by -2
-2h + -2p = -16
<u> 4h + 2p = 26</u>
2h + 0p =10
2h = 10
Divide both side by 2h
h=10/2
h =5 hard covers
Paper backs
P=5-2
P=3 paper backs
Therefore If Connie spent $26 on 8 books, The number of hard covers she buy is 5 hard cover.
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Answer:
The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:
The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.
For the given data set, calculate the correlation coefficient using technology.
This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.
Answer:
Answer:
m=−7
Step-by-step explanation:
Let's solve your equation step-by-step.
2981
35
=
−11
7
(8m+
9
5
)
Step 1: Simplify both sides of the equation.
2981
35
=
−11
7
(8m+
9
5
)
2981
35
=(
−11
7
)(8m)+(
−11
7
)(
9
5
)(Distribute)
2981
35
=
−88
7
m+
−99
35
Step 2: Flip the equation.
−88
7
m+
−99
35
=
2981
35
Step 3: Add 99/35 to both sides.
−88
7
m+
−99
35
+
99
35
=
2981
35
+
99
35
−88
7
m=88
Step 4: Multiply both sides by 7/(-88).
(
7
−88
)*(
−88
7
m)=(
7
−88
)*(88)
m=−7
Answer:
m=−7
you just do 144 divided by 8. There are 18 members of the class.
