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jekas [21]
3 years ago
15

7 ^ 8 times 7 ^ 3 times 7 ^ 4 / 7 ^ 9 times 7 ^ 5​

Mathematics
1 answer:
Alex777 [14]3 years ago
4 0

Answer:

7^8 =5764801 * 7^3 =343 * 7^4 =2401 ÷ 7^9 = 40353607 * 7^5 =16807

5764801 *343 *2401 ÷ 40353607 *16807

=4747561509943 ÷ 678223072849 = 7

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Find cotθ, cosθ, and secθ, where θ is the angle shown in the figure.
Darina [25.2K]

Answer:

\cos( \theta)  =  \frac{5}{8}  \\  {8}^{2}  =  {5}^{2}  +  {opp}^{2}  \\ {opp}^{2}  = 64 - 25 = 39 \\ opp =  \sqrt{39}  \\  \sin(\theta)  =  \frac{\sqrt{39}}{8}  \\  \tan(\theta)  =  \frac{ \sqrt{39} }{5}  \\  \cot(\theta)  =  \frac{1}{\tan(\theta)}  =  \frac{1}{\frac{ \sqrt{39} }{5}}  \\ \cot(\theta)  =  \frac{5}{ \sqrt{39} }  \\  \csc( \theta) =  \frac{1}{\sin(\theta)}  =  \frac{1}{\frac{\sqrt{39}}{8}}   \\ \csc( \theta) = \frac{8}{ \sqrt{39} }  \\  \sec( \theta) =  \frac{1}{\cos( \theta) }  =  \frac{1}{ \frac{5}{8} }  \\ \sec( \theta) =  \frac{8}{5}

5 0
2 years ago
A sweater is on sale for 20% off. A jacket is on sale for 15% off. The sale price for each item is $34.00. Which item cost more
SashulF [63]

The sweater cost more originally. It costs $2.50 more from jacket.

Step-by-step explanation:

Given,

Discount rate of sweater = 20%

Sale price of sweater = (100-20)% = 80%

Discount rate of jacket = 15%

Sale price of jacket = (100-15)% = 85%

Sale price of each item = $34.00

Let,

x be the original price of sweater.

y be the original price of jacket.

80% of x = 34

\frac{80}{100}x=34\\0.80x=34

Dividing both sides by 0.80

\frac{0.80x}{0.80}=\frac{34}{0.80}\\x=42.50

The original price of sweater is $42.50

85% of y = 34

\frac{85}{100}y=34\\0.85y=34

Dividing both sides by 0.85

\frac{0.85y}{0.85}=\frac{34}{0.85}\\y=40

The original cost of jacket is $40

Difference = 42.50 - 40 = $2.50

The sweater cost more originally. It costs $2.50 more from jacket.

Keywords: subtraction, division

Learn more about subtraction at:

  • brainly.com/question/10557938
  • brainly.com/question/10600222

#LearnwithBrainly

4 0
3 years ago
the length of a rectangle is increased by 15% while its perpendicular height is decreased by 15%. determine, if any, the percent
djverab [1.8K]

No change in area if sides of rectangle are equal.

Hope this helps.

8 0
3 years ago
Which expression is a QUOTIENT?<br> 8(4 + 5)<br> 5 - (2 x 3)<br> 8+ (6 = 3)<br> (5 + 2) = (2+ 3)
Andrew [12]

Answer: None of these.

Step-by-step explanation: a quotient is part of DIVISION

4 0
3 years ago
The population of at a town has grown 2% each year. In 1998, the population of the town was about 10,000 people. What was the po
Nuetrik [128]

Answer:

10200

Step-by-step explanation:

This is an example of a compound interest. The equation for this problem is 10000*(1+2/100)^n. The n is the year as 1999 is 1 year away from 1998, you just replace n with 1 and you have a simple equation.

7 0
3 years ago
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