I need help for this homework

Answers

Answer 1

Answer:

The exact value of cos(x - y) is 416/425.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It explores the properties of trigonometric functions, such as sine, cosine, and tangent, which are used to measure and calculate angles, lengths, and distances in triangles and other geometric shapes.

We can begin by using the trigonometric identity:

cos(x - y) = cosx cosy + sinx siny

We are given that sinx = 8/17 and tany = 7/24. We can use these to find cosx and cosy.

From sinx = 8/17, we know that:

$cosx = √((1 - sin^2x)) = √((1 - (8/17)^2)) = √((225/289)) = 15/17$

From tany = 7/24, we know that:

$cosy = 1/√((1 + tan^2y)) = 1/√((1 + (7/24)^2)) = 24/25$

Now we can substitute these values into the equation for cos(x - y):

cos(x - y) = cosx cosy + sinx siny

= (15/17)(24/25) + (8/17)(7/24)

= 360/425 + 56/425

= 416/425

Therefore, the exact value of cos(x - y) is 416/425.

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Kelly enlarged the area of a photograph to 250% of its original size. The original dimensions of the photograph were 5 inches by 7 inches. What is the area of the enlarged photograph, in square inches? A) 71.25 B) 87.5 C) 218.75 D) 3,000

Answers

The area of the enlarged photograph is 87.5 square inches.

What is the area of the enlarged photograph?

The first step is to determine the area of the photograph before it was enlarged. A photograph has the shape of a rectangle. So, the formula for the area of a rectangle would be used.

Area = length x width = 7 x 5 = 35

Area of the enlarged photograph = 2.5 x 35 = 87.5

To learn more about how to calculate the area of a rectangle, please check: brainly.com/question/16595449

Answer:

answer is B) 87.5 squared inches.

Step-by-step explanation:

The original dimensions of the photograph were 5 inches by 7 inches so, the area of the original photograph can be computed as the area of a rectangle:

$Area=(heigh)(base)$ .

$Area=(5)(7)$

$Area=35$ squared inches.

Now, for computing the area of a photograph of 250% the size of the original we use a simple rule of three:

35 squared inches -------- 100%

X squared inches --------- 250%

By this, we have:

$X = ((35)(250))/(100)$

$X = 2.5*35$

$X = 87.5$

A game spinner has regions that are numbered 1 through 9. If the spinner is used twice, what is the probability that the first number is a 3 and the second is a 5?

Answers

On the first spin, the probability that any specific number from 1 to nine inclusive is 1/9. On the second spin, the same value of probability applies. If the spinner is fair, the result from the first spin has no effect on the result of the second spin. therefore:
$P(3\ then\ 5)=(1)/(9)*(1)/(9)=(1)/(81)$

Final answer:

The probability that the spinner lands on 3 in the first spin and 5 in the second spin is 1 out of 81, given that each spin is independent and the spinner has numbers 1 through 9.

Explanation:

The question is asking about the probability of getting a 3 followed by a 5 on a spinner with numbers 1 through 9. Since the outcomes of spinning are independent, the probability of both events happening is the product of their individual probabilities.

Now, since the spinner has numbers 1 through 9, the probability of landing on any specific number is 1/9. Therefore, the probability of landing on 3 in the first spin is 1/9. In the second spin, the probability of landing on 5 is also 1/9.

To find the combined probability of both these events happening, you need to multiply the individual probabilities together. So, in this case, P(3 and 5) = P(3) * P(5) = 1/9 * 1/9 = 1/81. So the probability of the spinner landing on 3 in the first spin and then 5 in the second spin is 1 out of 81.

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What is bigger 0.09 or 0.089

Answers

0.09-0.089= 0.001 Therefore,0.09 is bigger than 0.089 by 0.001.

0.09 is bigger since it is lke0.090 ans like comparing 90 to 89

How do you graph y=lxl - 3 please explain

Answers

$y=x\n\n\Downarrow S_(OX\ for\ y < 0)\n\ny=|x|\n\n\Downarrow T_{\vec{a}=[0;-3]}\n\ny=|x|-3$

$y=x\n\nfor\ x=0\to y=0\to(0;\ 0)\n\nfor\ x=2\to y=2\to(2;\ 2)\n\n\nlook\ at\ the\ picture$

Factor x2 + 11x + 24A. (x + 6)(x + 4)
B. (x + 2)(x + 12)
C. (x + 3)(x + 8)
D. (x + 1)(x + 11)

Factor 2m2 + 27m + 70

A. (2m + 7)(m + 10)
B. (m + 10)(2m + 7)
C. (2m + 3)(m + 20)
D. (2m + 7)(m – 10)

Factor g2 – 64

A. (g – 1)(g + 64)
B. (g + 8)(g – 8)
C. (g – 8)(g – 8)
D. (g + 8)(g + 8)

Factor 49t2 – 9

A. (7t + 3)(7t + 3)
B. (7t + 3)(–7t – 3)
C. (7t + 3)(7t – 3)
D. 7t – 3

The area of a rectangular field is given by the trinomial t2 – 4t – 45. The length of the rectangle is t + 5. What is the expression for the width of the field?

A. t – 9
B. t – 5

Answers

Hello,

1) x²+11x+24=x²+8x+3x+24=x(x+8)+3(x+8)=(x+8)(x+3) ANSWER C

2)2m²+27m+70=2m²+20m+7m+70=2m(m+10)+7(m+10)
=(m+10)(2m+7) ANSWER A

3)g²-64=(g-8)(g+8) ANSWER B

4) 49t²-9=(7t-3)(7t+3) answer C

5)
t²-4t-45=t²+5t-9t-45=t(t+5)-9(t+5)=(t+5)(t-9)

l=t+5
==>w=t-9
answer A

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Answers

Answer:

First, find the multiplier ( 100-18/100)

=0.82

364000*0.82

=298480 is the new value after the years

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