The Unit Circle

What is tan 45°?

a. 0
b. 1
c. -1
d. 1/2

Please select the best answer from choices provided

Answer:

$23,219.72

Step-by-step explanation:

ab^x

a: initial value

b: value remaining after depreciation per year (in percentage)

x: number of years that have passed

35000(0.95)^8= 23219.7151

Round to the nearest hundredth value:

About $23219.72

Answer:

its B

Step-by-step explanation:

Answer:

the = 180

Step-by-step explanation:

Answer:

proof:

Triangle is isosceles, so angle 4 and 5 are equal

Angle 5 + Angle 1 = 180°

Angle 4+ Angle 1 = 180°

Step-by-step explanation:

<4 ≅ <5. <5 + <1 = 180° <4 + <1 are supplementary

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

5√(7)m  or 13.23m

Step-by-step explanation:

use pythagorean theorem

a²+b²=c²

c=20

b=15

a²+225=400

a²=175

√(175) = 5√(7) = 13.23

The height of the kite is 13.23 meters.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given:

A boy is flying a kite.

The length of the string is 20 meters and the horizontal distance between the boy and the kite is 15 meters.

Assuming there is no slack in the string,

then the height of the kite is,

= √(20)² - (15)²

= 13.23 feet.

Therefore, the height is 13.23 meters.

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Answer:

Step-by-step explanation:

Ap classroom

Answer:

Step-by-step explanation:

Answer: 2.95

Step-by-step explanation:

The students GPA for the term will be calculated as the weighted score divided by the number of units. This will be:

= (3.5 × 5) + (2.2 × 2) + (2.5 × 5) + (3.2 × 4) / (5 + 2 + 5 + 4)

= (17.5 + 4.4 + 12.5 + 12.8) / 16

= 47.2 / 16

= 2.95

Therefore, the GPA is 2.95

Answer:

$52

Step-by-step explanation:

first you find out what 60% of 130. all you need to do is put a decimal before the percent and multiply it with the cost, in this case 0.6 x 130, which results in 78. next you subtract the percentage result from the total cost to get your answer of $52.

Answer:

b

Step-by-step explanation:

Answer:

The father is 42 years old and the son is 12 years old.

Step-by-step explanation:

Since three years ago the sum of the ages of father and his son was 48 years, and three years hence father's age will be three times that of his are his, to find the present ages of the father and his are his, the following calculations must be performed:

F + S = 48

F + 6 + S + 6 = 3S

34 + 14 = 48 /// 34 + 6 = 40 --- 14 + 6 = 20 (x 3 = 60)

38 + 10 = 48 /// 38 + 6 = 44 --- 10 + 6 = 16 (x 3 = 48)

40 + 8 = 48 /// 40 + 6 = 46 --- 8 + 6 = 14 (x 3 = 42)

39 + 9 = 48 /// 39 + 6 = 45 --- 9 + 6 = 15 (x 3 = 45)

39 + 3 = 42

9 + 3 = 12

Therefore, the father is 42 years old and the son is 12 years old.

Answer:

the answer is c

Step-by-step explanation:

Answer:

10×3=30 so the area is 30 square feet

Answer:30

Step-by-step explanation:3x10=30 brainlyest plz plz I need it for my rank

Answer:

17=x

Step-by-step explanation:

Put in y and minus 4

Answer:

f(x)= (1/2)x-3

Step-by-step explanation:

Answer:

A factor, in mathematics, a number or algebraic expression that divides another number or expression evenly, with no remainder. A multiple of a number is any integer multiplied by the number. Try it yourself, now you know the how it works.

Answer:

I think 750

Step-by-step explanation:

250 percent more right?

Answer:

a. the final cost will be $12,960

b. your monthly payment will be $216

Step-by-step explanation:

a. if the sales tax is 8%, that means that you will need to pay 8 cents for every dollar of the original cost. you can find the total cost by multiplying 1.08 (108%) by 12,000 in order to get the original price PLUS the sales tax added on. Thus, leaving you with $12,960 as the final price.

b. to find the monthly payment, you will multiply the number of years the payment is spread out over (5) by the number of months in a year (12) in order to get 60 months in total. Then divide the $12,960 by 60 in order to get a final monthly payment of $216.

Answer:

3y²+4y²-4y-6

Step-by-step explanation:

Answer:

The correct answer is option C: (8, 14).

Step-by-step explanation:

The car's displacement in vector form can be found by subtracting the initial points from the final points.    

Initial: (x₁, y₁) = (-3, -5)

Final: (x₂, y₂) = (5, 9)          

For the x-coordinate, we have:  

[tex] d_{x} = x_{2} - x_{1} = 5 - (-3) = 8 [/tex]

And for the y-coordinate, we have:

[tex] d_{y} = y_{2} - y_{1} = 9 - (-5) = 14 [/tex]

The car's displacement in vector form is:

[tex] d = (d_{x}, d_{y}) = (8, 14) [/tex]  

Therefore, the correct answer is option C: (8, 14).

I hope it helps you!                        

Answer:

[tex]6.7159[/tex]

Step-by-step explanation:

[tex]\mu=48.8\\n=35\\\bar{x}=53.8\\\sigma=4.4\\\alpha=1\%=0.01[/tex]

Null and alternative hypothesis :

[tex]H_0:\mu=48.8\\H_a:\mu>48.8[/tex]

Test statistic,

[tex]t=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]\Rightarrow t=\frac{53.8-48.8}{\frac{4.4}{\sqrt{35}}}[/tex]

[tex]\Rightarrow t=\frac{5\times 5.91}{4.4}[/tex]

[tex]\Rightarrow t=6.715[/tex]

Test statistic [tex]t=6.715[/tex]

[tex]P-[/tex]value [tex]=P(t>6.715)[/tex]

[tex]P-[/tex] value [tex]=0.0001[/tex]  by the p- table

Significance level [tex]0.01[/tex]

         [tex]p-[/tex]value [tex]<0.01[/tex]

  We reject [tex]H_0[/tex]

Answer:-12 and -25

Step-by-step explanation:

Answer: 3 and -12

Step-by-step explanation:

I used this

www.calculatorsoup.com/calculators/math/diamond-problem-solver.php

Answer:

x³ + 2x² -3x +6

Step-by-step explanation:

We need to find the polynomial whose roots are ,

Say of we have zeroes as , α , β and γ , then the polynomial is ,

=> p(x) = k[ (x - α ) ( x - β) ( x - γ) ]

=> p(x) = k [ ( x - (-2)) ( x - √3) ( x -√3)]

=> p(x) = k[ (x+2)(x² - 3)]

=> p(x) = k[ x(x² - 3) + 2(x² - 3) ]

=> p(x) = k[ x³ - 3x + 2x² - 6 ]

=> p(x) = k[ x³ + 2x² - 3x - 6 ]

Answer:

B

Step-by-step explanation:

is the right answer

The area of the shaded region is 12 feet². The correct option is A.

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees.

Given that the area of the outer rectangle above is 80feet². The area of the inner rectangle is 68feet². The area of the shaded region=area of the outer rectangle- the area of the inner rectangle.

The area of the shaded region=(80-68 )feet²

The area of the shaded region= 12feet²

Thus,  the area of the shaded region is 12feet².

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Step-by-step explanation:

Thanks, so cube root of 512 is 8 and reciprocal of 0.4 is 2.5 then:

8 : 2.5 / divide both by 2.5 to get:

3.2 : 1 that's my answer right?

The correct form of the ratio of cube root of 512: reciprocal of 0.4 is 3.2:1

It is a number y such that y to the power 3 is equal to x.

We have to find the ratio of cube root of 512 and the reciprocal of 0.4  which will be as follows

cube root of 512:  reciprocal of 0.4

8: 1/0.4

8=2.5

dividing by 2.5

3.2 : 1

Hence the ratio will be 3.2 :1 of cube root of 512 and the reciprocal of 0.4

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Answer:

The answer is simply 49.

Step-by-step explanation:

196 ÷ 4 is why because their are 4 sides on a square if you divide it by 4 you get the answer 49. You're probably in like 3rd grade or smth this is so easy.