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Alisiya [41]
3 years ago
11

Word Problem. Genius's Please Answer.​

Mathematics
2 answers:
nataly862011 [7]3 years ago
8 0

Answer:

15 , 20

Step-by-step explanation:

6 × 8 = 48

48 + 72 = 120

120 ÷ 48 = 2.5

>>>>>>>

6 × 2.5 = 15

8 × 2.5 = 20

viktelen [127]3 years ago
3 0

Answer:

15 , 20

Step-by-step explanation:

6 × 8 = 48

48 + 72 = 120

120 ÷ 48 = 2.5

>>>>>>>

6 × 2.5 = 15

8 × 2.5 = 20

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(1+sint)/(cost)-(cost)/(1-sint)
Evgen [1.6K]

\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)}{1-\sin(t)}

Multiply through the second term by 1+\sin(t) :

\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)}{1-\sin(t)}\cdot\dfrac{1+\sin(t)}{1+\sin(t)}

\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)(1+\sin(t))}{1-\sin^2(t)}

Recall that \cos^2(x)+\sin^2(x)=1 for all x :

\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)(1+\sin(t))}{\cos^2(t)}

If \cos(t)\neq0, we can cancel a factor of it in the second fraction.

\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{1+\sin(t)}{\cos(t)}

and this simplifies to

\dfrac{(1+\sin(t))-(1+\sin(t))}{\cos(t)} = \boxed{0}

8 0
3 years ago
In 1970, a bottle of dishwashing detergent cost $0.50. To answer each of the parts below, assume that the consumer price index (
Zanzabum
Given:
1970 price of dish washing detergent in a bottle : $0.50

CPI
1960 = 29.60
1970 = 38.80
1980 = 82.40

(82.40 - 38.80) / 38.80 = 1.124 
1.124 x 100% = 112.4% rate of increase

$0.50 * 112.4% = $0.562 is the 1980 price of the dish washing detergent.

4 0
4 years ago
37.5% of what number is 6
Nookie1986 [14]

Answer:16

Step-by-step explanation:

6 0
3 years ago
Look at the picture.
OverLord2011 [107]

Answer:

Q' = ( -10 , 6 )

Step-by-step explanation:

P' - P = ( 18-12, -6-(-4)) = ( 6 , -2)

That is, the PQ line segment has moved 6 units to the right and 2 units to the bottom.

Q' - Q = ( 6 , -2 ) → Q' = ( 6 , -2 ) + ( -16 , 8 ) = ( -10 , 6 )

4 0
3 years ago
Mia did a study for a health class about the effects of the length of a person's foot and their shoe size. Based on a graph of h
olga nikolaevna [1]

Answer: The correct answer is A.

Step-by-step explanation: Based on Mia’s data, she found that there was a relationship between the length of a persons foot and their shoe size. The only valid conclusion in the options is choice a. The length of a persons foot is a cause of their shoe size, which implies that there is also a correlation between the length of a person’s foot and their shoe size.

4 0
3 years ago
Read 2 more answers
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