Answer:
a) $ 22x -9
b) 44x - 18
c) $319
Step-by-step explanation:
Given that,
number of $1 bills wyatt has = (2x-1)
number of $5 bills wyatt has = (4x + 2)
The total amount of money that Wyatt has in terms of x
(2x - 1) + 5(4x + 2)
= 2x - 1 + 20x + 10
= $ 22x -9
The number of pens that Wyatt can buy if each pen costs 50 cents
$(22x - 9) * 100
= 2200x - 900 cents / 50
= 44x - 18
If x = 21, amount of money Susan will have now if Wyatt gives her half the number of five dollar bills that he has
( 5 (4x + 2) / 2) + ( 2 (21) - 1)
= 215 + 41
= 256
As we know that Susan has $3x more than Wyatt
So,
256 + 3x
= 256 + 3(21)
= $319
Answer:
If 
, the slang height of the cone is approximately 23.521 inches.
Step-by-step explanation:
The surface area of a cone (A) is given by this formula:
Where:
- Base radius of the cone, measured in inches.
- Slant height, measured in inches.
In addition, the slant height is calculated by means of the Pythagorean Theorem:
Where 
is the altitude of the cone, measured in inches. If , then:
And:
Given that 
, the following second-order polynomial is obtained:
Roots can be found by the Quadratic Formula:
As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.
Let the angles be A and C
<span>Complimentary angles, therefor </span>
<span>A + C = 90 </span>
<span>The measurement of the complement of an angle exceeds the measure of the angle by 25% (you used a % sign so I'll use % instead of degrees) </span>
<span>C = 1.25A </span>
<span>Substitute </span>
<span>A + 1.25A = 90 </span>
<span>2.25A = 90 </span>
<span>A = 40º <----- </span>
<span>C = 50º <----- </span>
<span>------------------------------ </span>
<span>If you meant 25º </span>
<span>A + (A + 25) = 90 </span>
<span>2A + 25 = 90 </span>
<span>2A = 65 </span>
<span>A = 32.5º </span>
<span>C = 57.5º</span>
