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9514 1404 393

Answer:

  (5, 3 2/3)

Step-by-step explanation:

The centroid is the average of the vertex coordinates:

  (A +B +C)/3 = ((2, 3) +(8, 1) +(5, 7))/3 = (2+8+5, 3+1+7)/3 = (5, 3 2/3)

Answer:

46940064

Step-by-step explanation:

1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = \frac{opposite}{hypotenuse}

hypotenuse

opposite

= \frac{0.7}{4.2}

4.2

0.7

, then

x = sin^{-1}sin

−1

(\frac{0.7}{4.2}

4.2

0.7

) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = \frac{opposite}{hypotenuse}

hypotenuse

opposite

= \frac{y}{176}

176

y

( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = \frac{adjacent}{hypotenuse}

hypotenuse

adjacent

= \frac{x}{176}

176

x

( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

Answer:

Your answer is 37

Step-by-step explanation:

Caanan is 62 miles away and since he drives at 50 miles per hour, and if it is 2:30 then 30 minutes is half a hour, which means you divide 50 in half by 2 and get 25. After you do that then you subtract 62 and 25 to get your answer 37. Have a good day!!! :)

Answer:

15.66

Step-by-step explanation:

First you find what is 46% of 29.00 which is 13.34

Next do 29-13.34 and that is 15.66

that is your answer hope I helped.   :)

Answer:

Step-by-step explanation:

81 = 9 * 9 = 3 * 3 * 3 *3

8 = 2 * 2 * 2 *2

[tex]\sqrt{81 * 8 } = \sqrt{3*3*3*3*2*2*2}\\\\=3 * 3 * 2 \sqrt{2}\\\\= 18\sqrt{2}[/tex]

Answer: 164

Step-by-step explanation:  656 /4

164

Answer: $197 Billion

Step-by-step explanation: To find the difference between the two amounts, you simply subtract them! In this case, 447 - 250 = 197. Hope this helps!

Answer:

-6 (i can explain if its needed)

Step-by-step explanation:

[tex]2 - {n}^{2} + 3 \times 14 - {n}^{2} = \\ 2 - {n}^{2} + 42 - {n}^{2} = \\ 2 - 25 + 42 - 25 = - 6[/tex]

Answer: x= 10, y= 13. i dont know for sure so i'd wait for someone else to answer

Answer:

x = 12

y = 13

Step-by-step explanation:

by pythagoras theorem

x²=20²-16²

x²=400-256

x²=144

x=12

y²=x²+5²

y²=12²+5²

y²=144+25

y²=169

y=13

Answer: It's given in the equations.

Step-by-step explanation:

First One

f(x) = -2^x

Second

f(x) = -4(2)^x

Third

f(x) = 4(2)^x

Fourth

f(x) = 2^x

Answer:

Its A

Step-by-step explanation:

7x + 3 =17

            -3  ( 17 -3 = 14)

7x =  14.  (14 divided by 7)

u get x=2

Answer:

i think Its 5/8

Step-by-step explanation:

this one is tricky for me at least

Answer:

39.25 square ft

Step-by-step explanation:

[tex]Area \: of \: sector = \frac{45 \degree}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{1}{8} \times 3.14 \times {10}^{2} \\ \\ = \frac{3.14 \times 100}{8} \\ \\ = \frac{314}{8} \\ \\ = 39.25 \: {ft}^{2} [/tex]

Answer:

Step-by-step explanation:

192in(5ft/2in)=480ft

4in(5ft/2in)=10ft

A=480ft(10ft)=4800ft^2

Answer:

3x-6

Step-by-step explanation:

3(x-2)

3 multiply both x and -2

3x-6

hope it's helpful ❤❤❤❤

THANK YOU.

Answer:

d(t)=8cos((pi/12)t)

Step-by-step explanation:

I think this is correct...

A=8 b/c 40-24=16, 16/2 = 8

B=2pi/per, 2pi/24, B = pi/12

Answer:

A)473 = 335 - 46x

B) 3

Step-by-step explanation:

A)

473 = 335 - 46x

x = the hours of labor needed.

B)

Solve for x

473 = 335 - 46x

subtract 335 from both sides

138 = 46x

divide both sides by 46

3 = x

Answer:

A) [tex]46x+335=473[/tex]  B)[tex]x=3[/tex]

Step-by-step explanation:

473 is the total amount, which means it is the end result

335 represents a constant since it is a base price

the hourly rate is a variable, due to the fact that it depends on how many hours he spent working.

variable + constant = total price

[tex]46x+335=473[/tex]

Now to solve this, first subtract [tex]335[/tex] from both sides

[tex]46x=138[/tex]

Next divide both sides by [tex]46[/tex] to isolate the variable

[tex]x= \frac{138}{46}[/tex]

This can be simplified to: [tex]x=3[/tex]

plz mark me brainliest. ;)

Answer:

10.45?

Step-by-step explanation:

Answer:

5.05

Step-by-step explanation:

-2.7+7.75

2.7 is how much he descends so its negative

And 7.75 for how much he went up so its positive

Answer:

5. b  6. c  7. d  8. a

Step-by-step explanation:

Answer:

27- 1 = 26

Step-by-step explanation:

Answer:

25% of 80 is D. 20kg

Step-by-step explanation:

50% of 80 is 40 and we know that 25% is half of 50%, so half of 40 would be 20.

So, the answer is D. 20kg

Hope this helps! :)

Answer:

b- x=5

Step-by-step explanation:

14-5=8 so your answer would be b

Answer:

20%

Step-by-step explanation:

This is because the amount decreased is 17 and 17 is what percent of 85? The answer is 20%.

Answer:

2

Step-by-step explanation:

bc

Answer:

(2/5)√5

Step-by-step explanation:

from the sine rule (see attached for reference), we can construct the following relationship

12/sinθ  = (6√5) / sin 90°

recall that sin 90° = 1, hence our equation becomes:

12/sinθ  = (6√5) / 1

12/sinθ  = (6√5)   (rearranging)

12 ÷ (6√5)  = sin θ

sin θ = 12 / (6√5)

sin θ = 2 / √5   (moving radical to numerator by multiplying by √5/√5)

= 2 / √5     x     √5/√5

= 2√5 / 5

= (2/5)√5