Write the equation of a circle that has a center of (-4, 2) and has a radius of 7.​

Answer:

Step-by-step explanation:

Sin A = [tex]\frac{opposite side}{hypotenuse}=\frac{5}{13}\\\\[/tex]

Cos A = [tex]\frac{Adjacent side}{hypotenuse}=\frac{12}{13}[/tex]

Tan A = [tex]\frac{opposite side}{adjacent side}=\frac{5}{12}[/tex]

A = tan⁻¹ (5/12) = 22.61°

Answer:

Step-by-step explanation:

a) Sin A = opposite/hypothenuse

Sin A = 5/13 ≈ 0.3846..

b) Cos A = adjacent/hypothenus

Cos A = 12/13 ≈ 0.9230..

c) Tan A = opposite/adjacent

Tan A = 5/12 ≈ 0.4166..

d) we will use the inverse Sine function

< A = sin^-1(5/13)

< A = sin^-1(0.3846) ≈ 22.62°

P.S. You can use any of the three inverse functions to find the angle: sin^-1 | cos^-1 | tan^-1

Answer:

C

Step-by-step explanation:

Positives are bigger than negatives, so the highest is 4 and the lowest is Negative 6.

Answer:

c is the answer

Step-by-step explanation:

because when the number is negative it's lowe than a positive number and the answer "c" has the first number as a positive which that number is the greatest out of all of them in that answer

Answer:

A. -80x + 24

Step-by-step explanation:

- 8( 10x - 3 )

- 8( 10x )

= - 80x

- 8 ( - 3 )

= 24

- 80x + 24

Remember, when you multiply a negative number with another negative number it will become positive

Hope this helps dude

Answer:

4.0408163265306

Step-by-step explanation:

Answer:

(4,3) is 2

(-2,5) is 1

(-1,-1) is 3

(3,-5) is 4

Step-by-step explanation:

Answer:

put the green dot 4 marks to the right and 3 marks up

put the purple dot 2 marks to the left and 5 marks up

put the blue dot 1 mark to the left and 1 mark down

put the pink dot 3 marks to the right and 5 marks down

Step-by-step explanation:

its a pretty self explanitory question. just put the colord dots on their matching coordinates

Answer:

commutative property........

Answer:

[tex] \displaystyle \frac{1}{28} [/tex]

Step-by-step explanation:

we are given 8 songs

2 are rock. 4 are reggae, 2 are country

we want to figure out the probability of getting both reggae songs

notice that, they aren't replacing thus it's an independent probability

recall that,

[tex] \displaystyle \rm P(A \: \text{and} \: B) = P(A) \times P(B \mid A)[/tex]

P(A) represents the chance of getting our subject first time and P(B|A) represents the chance of getting the same subject second time

let's figure out P(A)

we have 2 reggae songs

and total 8 songs

therefore

[tex] \displaystyle\rm P(A) = \frac{2}{8} = \frac{1}{4} [/tex]

let's figure out P(B|A)

since we took a reggae song before now we have only a reggae song

and total 8-1=7

therefore

[tex] \displaystyle \rm P(B\mid A) = \frac{1}{7} [/tex]

Altogether

[tex] \displaystyle \rm P(A \: \text{and} \: B) = \frac{1}{4} \times \frac{1}{7} [/tex]

simplify multiplication:

[tex] \displaystyle \rm P(A \: \text{and} \: B) = \frac{1}{28} [/tex]

And we are done!

Answer:

Part A: d ≥ 500

Part B: d must be over or equal to 500 but can go infinity at 500+

Step-by-step explanation:

Part A:

≥ stands for "at least" and d has to be "at least" 500,

hence d ≥ 500

Answer:

We call x the number of children and y the number of adults

We have system of equations

x + y = 218 (1)

1.25x + 2y = 349.75 (2)

(1) => x = 218 - y. Replace x in (2) 1.25 (218-y) + 2y = 349.75

=> y = 103 replace y in (1) x = 218-103 = 115

Children and how many adults swam at the public pool that​ day is : 115 and 103

Step-by-step explanation:

Answer:

[tex]CD = 4.4ft[/tex]

Step-by-step explanation:

Given

[tex]DE = 12[/tex]

[tex]\angle C = 70^\circ[/tex]

Required

Find CD

This question is represented with the attached triangle

To solve CD, we make use of tan formula.

[tex]tan(70) = \frac{DE}{CD}[/tex]

Substitute 12 for DE

[tex]tan(70) = \frac{12}{CD}[/tex]

Make CD the subject

[tex]CD = \frac{12}{tan(70)}[/tex]

[tex]CD = \frac{12}{2.7475}[/tex]

[tex]CD = 4.4ft[/tex] --- approximated

Answer:

12.8

Step-by-step explanation:

Answers:

Each answer has 7 as the base and a fraction as an exponent.

==========================================================

Explanation:

One useful rule here is that [tex]\sqrt[n]{x^m} = x^{m/n}[/tex]. The fraction m/n is the exponent for the base x. Note how the index of the root (n) becomes the denominator of the fraction m/n. So for example if we had n = 3, then we'd be dealing with a cube root.

For part a), we have x = 7, m = 1 and n = 5 to get

[tex]\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[5]{7^1}=7^{1/5}\\\\\sqrt[5]{7}=7^{1/5}\\\\[/tex]

-----------------

Part b) is the same idea

We would find that

[tex]\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[7]{7^1}=7^{1/7}\\\\\sqrt[7]{7}=7^{1/7}\\\\[/tex]

Then apply the reciprocal to both sides. This is the same as raising both sides to the exponent -1

[tex]\sqrt[7]{7}=7^{1/7}\\\\\left(\sqrt[7]{7}\right)^{-1}=\left(7^{1/7}\right)^{-1}\\\\\frac{1}{\sqrt[7]{7}}=7^{1/7*(-1)}\\\\\frac{1}{\sqrt[7]{7}}=7^{-1/7}\\\\[/tex]

You could also use the rule that x^(-y) = 1/(x^y) when dealing with negative exponents.

In the second to last step shown above, I used the rule (x^y)^z = x^(y*z) on the right hand side.

Answer:

612 /1 or 6120/10

Step-by-step explanation:

factor the numerator and denominator and cancel common factors

Answer:

612 there is no fraction solution.....well i dont think so...

Step-by-step explanation:

convert 1/4 into a decimal: 1/4 = .25

                                                         DIVIDE

153 / .25 = 612

                                                        ANSWER

612

if there was a fraction solution it'll probably be 2448/4 = 612

2448/4 would be the fraction solution...

Answer:

Im not going to give you the answer but try this by your self.

Step-by-step explanation:

To figure out the area multiply each side together. To find the perimiter add all the sides.

Answer:

671

Step-by-step explanation:

16 × 9 = 144

13 + 16 = 29

29 × 9 = 261

9 + 29 = 38

38 × 7 = 266

266 + 261 + 144 = 671

Answer:

A

Step-by-step explanation:

4/3 pi r3= 4846.59*3/4/pi=1157.625

so r3= 1157.625

so taking cube root on both sides we get

10.5 which is A

if my answer helps please mark as brainliest.

Answer: 1) D

2) A

Step-by-step explanation: plz mark me brainliest

Answer:

1) C) 2) B)

Step-by-step explanation:

First one is just times them together get 12root(a^2b^2) = 12ab.

Second question, you use equation 1 to minus equation 2 get 2x = 6, then x = 3, then substitute it into either equation, for example the first one get -7*3 +  5y = 24, then solve for y, can get y = 9, so B) is correct answer.

If it is helpful, plz give me Brainliest.

Answer:

It is (D)

[tex]f(x) = \frac{ - 1}{2} x + 6[/tex]

Step-by-step explanation:

I hope that is useful for you

Answer:108

Step-by-step explanation:

Answer: 16p^8q^4r^8 The yellow one

Step-by-step explanation:

Step 1: Use Multiplication Distributive Property: (xy)^a = x^a y^a. So 4^2p^2(q^3)(r^4)^2

Step 2: Simplify 4^2 to 16. So 16p^2(q^3)^2(r^4)^2

Step 3: Use Power Rule: (x^a)^b=x^ab. So 16p^2q^6(r^4)^2

Step 4: Use Power Rule: (x^a)^b=x^ab. So the answer is 16p^2q^6r^8. The yellow one

Answer:

2x+5

Step-by-step explanation:

Okay so lets first factor 2x^2+15x+25

2*25=50

10+5=15

10*5=15

(x+10/2)(x+5/2)

=(x+5)(2x+5)

we know that the width is x+5 so that means the length has to be 2x+5

Answer:

2

Step-by-step explanation:

17 - 5(3) (Plug in)

= 17-15 (Multiply)

= 2 (Simplify)

Answer:

Step-by-step explanation:

Surface area = 4*lateral faces + 2*bases

Answer:

more than.

"a top speed in excess of 20 knots"

Similar:  "more than"  "over"  "above"  "over and above"  "beyond"

Answer:

Step-by-step explanation:

Part A

The units on 9500 must be miles. So if x is time, then 55 must be the rate at which she travels ie 55 miles per hour. So the answer must be A.

Part B

The trip began when the time was zero. Therefore x is zero. What remains is the mileage on the odometer when x = 0.  The answer must be 1950.

Answer:

yes both are the distance of 99mm

Answer:

yes

Step-by-step explanation:

they are equal in length