Answer:
x = 7
Step-by-step explanation:
There is a total of 180 degrees in a triangle. To solve you add the other angles and set = to 180 then solve for x
180 = 33 + 90 + 7x +8
172 = 33 + 90 + 7x
139 = 90 +7x
49 = 7x
7 = x
the arc length is calculated by the formula
then
or it can be calculated using the circumference of the circle since we have a semicircle the circumference 2πr must be divided by 2 С=2πr:2=πr =8π=<u>25,12</u>
The rate of change of the relationship is 6/5
<h3>Rate of change of a line</h3>
The rate of change of a line is also known as the slope of the line. The formula for calculating the slope of a line is expressed as:
Slope =y2-y1/x2-x1
Given the coordinate points (-3,-2) and (2, 4). On substituting;
Slope = 4-(-2)/2-(-3)
Slope =4+2/2+3
Slope = 6/5
Hence the rate of change of the relationship is 6/5
Learn more on rate of change here: brainly.com/question/25184007
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Number of pounds of cashews is 36 pounds and number of pounds of walnuts is 4 pounds.
Step-by-step explanation:
- Step 1: Given details are cost of cashews = $1.58, cost of walnuts = 78 cents = $0.78, total weight of nuts = 40 pounds, cost of nuts per pound = $1.50
- Step 2: Let number of pounds of cashews to be mixed be C, then number of pounds of walnuts will 40 - C. Form equation with these variables.
⇒ 1.58 C + (40-C) 0.78 = 40 × 1.50
⇒ 1.58 C + 31.2 - 0.78 C = 60
⇒ 1.58 C - 0.78 C = 60 - 31.2
⇒ 0.8 C = 28.8
⇒ C = 36 pounds
- Step 3: Calculate number of pounds of walnuts
⇒ Number of pounds of walnuts = 40 - C = 4 pounds
Answer:
they move one over to the left
Step-by-step explanation:
a zero is added to the number and the decimal is shifted