Answer:

Step-by-step explanation:

Use cross products to simplify the equation. Multiply the denominator of the second fraction by the numerator of the first fraction, and the denominator of the first fraction by the numerator of the second,

Simplify,

Inverse operations,

Angle PTG = arccos((18^2 + 13^2 - 27^2) / (2 x 18 x 13)) = arccos(-236 / 468) = arccos(-0.5043) = 120 degrees.
The triangle is an obtuse triangle (because one of the angles is greater than 90 degrees) and a scalene triangle (because all the sides are not equal).
Answer:
75% of the votes were in favor.
Step-by-step explanation:
To find the percent(rate), we use the formula r=p/b
The question is "What percent(rate) of 56 is 42?"
So fill in the formula and it will show as r=42/56, which is the rate will be equal to 42 divided by 56.
Perform the calculations and the result will show 0.75
Convert the decimal to a percent by moving the decimal point two places to the right and you will have 75% as your answer.
Answer:
Part 1) The unit rate is 
Part 2) The unit rate is 
Part 3) The unit rate is 
Part 4) The unit rate is 
see the attached figure
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to

where
d ----> number of dollars (dependent variable or output value)
n ---> number of ounces (independent variable or input value)
Remember that the slope of the linear equation is the same that the unit rate
<u><em>Verify each case</em></u>
1) we have

This is a proportional relationship between the variables d and n
The slope is

therefore
The unit rate is 
2) we have
<em>First table</em>
take two points from the table
(4,1) and (16,4)
substitute in the formula of slope



simplify

therefore
The unit rate is 
3) we have

This is a proportional relationship between the variables d and n
isolate the variable d

The slope is

therefore
The unit rate is 
4) we have
<em>Second table</em>
take two points from the table
(1,4) and (2,8)
substitute in the formula of slope



therefore
The unit rate is 
Answer:
B
Step-by-step explanation: