Answer:
2 times 3 is 6 to the 2nd power is 36 - 5 to the second power is 25
36-25=11
Step-by-step explanation:
Answer:
Measure 1 is 112º
You know that 112º is the closest answer because you can see the angle is obtuse. And obtuse is an angle less than 180 but more than 90º
Step-by-step explanation:
So a straight line is equal to 180º so just set the equations equal to 180. Your final equation should look like (3x + 22) + (2x + 8) = 180
Now all you have to do is solve for x.
3x + 22 + 2x + 8 = 180
Combine like factors
3x + 2x = 5x
22 + 8 = 30
Now your equation should look like 5x + 30 = 180
Subtract 30 from both sides. -30 -30
----------
150
So now the equation should look like 5x = 150
Divide both sides by 5, 150/5 = 30
SO x = 30
Plug 30 in to the equation to check your answer
(3*30 + 22) = 112
(2*30 + 8) = 68
112 + 68 = 180
Answer:
Part A) In the scale drawing the length of the swimming pool is 10 cm and the width is 5 cm
Part B) The actual length of the bus is 45 ft
Step-by-step explanation:
Part A) Make a scale drawing of the swimming pool where 1 centimeter represents 5 meters
we know that
The scale is
To find out the dimensions of the pool in the scale drawing, multiply the actual dimensions by the scale factor
<em>Find the length in the scale drawing</em>
<em>Find the width in the scale drawing</em>
Part B) What is the actual length of the bus?
we know that
The scale is
The length of the school bus is 4 1/2 inches on the scale drawing
To find out the actual length of the bus, divide the length in the scale drawing by the scale
Convert mixed number to an improper fraction
<em>Find the actual length of the bus</em>
Answer:
B
Step-by-step explanation:
Note that i² = - 1
Given
(4 - 2i)(1 + 7i) ← expand factors using FOIL
= 4 + 28i - 2i - 14i²
= 4 + 26i + 14
= 18 + 26i → B
Answer:
15
Step-by-step explanation: