A ratio shows us the number of times a number contains another number. The ratio of the number of programs Abby handed out to the number programs Kim handed out is 5/6.
<h3>What is a Ratio?</h3>
A ratio shows us the number of times a number contains another number.
At the school play Abby handed out 250 programs and Kim handed out 300. Therefore, the ratio of the number of programs Abby handed out to the number programs Kim handed out is,
Ratio = (Number of programs Abby handed out)/(Number of programs Kim handed out)
Ratio = 250 / 300 = 5/6
Hence, the ratio of the number of programs Abby handed out to the number programs Kim handed out is 5/6.
Learn more about Ratios:
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We know that
cos A=adjacent side angle A/hypotenuse
adjacent side angle A=24 units
hypotenuse=26 units
cos A=24/26-----> 12/13
cos B=adjacent side angle B/hypotenuse
adjacent side angle B=10 units
hypotenuse=26 units
cos B=10/26------> 5/13
the answers are
cos A=12/13
cos B=5/13
cot A=adjacent side angle A/opposite side angle A
adjacent side angle A=24 units
opposite side angle A=10 units
cot A=24/10------> cot A=12/5
cot B=adjacent side angle B/opposite side angle B
adjacent side angle B=10 units
opposite side angle B=24 units
cot B=10/24------> cot B=5/12
Answer:
A) x = 3 or -1
B) x = -7
C)x = -7
Step-by-step explanation:
A) x² + 2x + 1 = 2x² - 2
Rearranging, we have;
2x² - x² - 2x - 2 - 1 = 0
x² - 2x - 3 = 0
Using quadratic formula, we have;
x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)
x = (2 ± √16)/2
x = (2 + 4)/2 or (2 - 4)/2
x = 6/2 or -2/2
x = 3 or -1
B) ((x + 2)/3) - 2/15 = (x - 2)/5
Multiply through by 15 to get;
5(x + 2) - 2 = 3(x - 2)
5x + 10 - 2 = 3x - 6
5x - 3x = -6 - 10 + 2
2x = -14
x = -14/2
x = -7
C) log(2x + 3) = 2log x
From log derivations, 2 log x is same as log x²
Thus;
log(2x + 3) = logx²
Log will cancel out to give;
2x + 3 = x²
x² - 2x - 3 = 0
Using quadratic formula, we have;
x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)
x = (2 ± √16)/2
x = (2 + 4)/2 or (2 - 4)/2
x = 6/2 or -2/2
x = 3 or -1
Answer:
Option B. 2376 Square feet
Step-by-step explanation:
The following were obtained obtained from the question:
Base (B) = 24ft
Length (L) = 40ft
Height (H) = 9ft
Slant height (S) = 15ft
Surface Area (A) =?
The surface area (A) for triangular prism is given below:
A = BH + 2LS + LB
Where:
B is the Base
L is the Length
H is the Height
S is the Slant Height
A is the Surface Area
Using the above equation, the surface area can be obtained as follow:
A = BH + 2LS + LB
A = (24x9) + (2x40x15) + (40x24)
A = 216 + 1200 + 960
A = 2376 ft2
2x^2=-26
x^2=-13
x=(+/-)sqrt(13)i
