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Llana [10]
3 years ago
6

Help me pls

Mathematics
1 answer:
borishaifa [10]3 years ago
5 0

Answer:

9 ---> -9

-2/6 ---> 2

-4.4 ---> 4.4

1/6 ---> 1

Step-by-step explanation:

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What is the approximate area of a sector of a circle with a radius of 8 cm, and a minor arc of 70 degrees?
oee [108]

Answer:

39.0953=39cm2

Step-by-step explanation:

Minor arc =70

Angle of arc=70

Then this sector =70/360=7/36 of the circle

Then area = 7/36x3.14x8x8=39cm2 approximatly

5 0
3 years ago
If you deposit $25,000 now at 6.5% compounded quarterly, how much will you have in 30 years?
Mice21 [21]

Answer:

$172,984.44

Step-by-step explanation:

We can use the formula

A = P(1 + \frac{r}{n})^{nt} to compute the final amount

Here P is the principal amount, the original deposit = $25,000

r is the annual interest rate = 6.5% = 0.065 in decimal

n is the number of times the compounding takes place. Here it is quarterly so it is 4 times a year

t is the number of time periods ie 30 years

A is the accrued amount ie principal + interest

Computing different components,

nt = 4 \times 30 = 120

r/n =  0.065/4 = .01625

1 + r/n = 1.01625

(1 + r/n)^{nt} = 1.01625^{120}

Therefore

A = 25000 \times 1.0625^{120} = 172,984.44


4 0
2 years ago
Need help ASAP! Directions in picture ;)
GuDViN [60]
The supplement of < 72 has the same measure as < (4x + 8). Therefore, < (4x + 8) must equal 108°. We can establish the following equality statement to solve for x:

< (4x + 8) + < 72° = 180°

Combine like terms:
4x + 80 = 180°

Subtract 80 from both sides:

4x + 80° - 80° = 180° - 80°

4x = 100

Divide both sides by 4 to solve for x:

4x/4 = 100/4

x = 25

To verify whether the value of x is correct, substitute its value into the equality statement:

< (4x + 8)° + < 72° = 180°

< [4(25) + 8]° + < 72° = 180°

< (100 + 8)° + < 72° = 180°

< 108° + < 72° = 180°

180° = 180° (True statement. Therefore, the correct answer is x = 25).

Please mark my answers as the Brainliest if you find this helpful :)
6 0
2 years ago
Youth tickets(y) cost $2 for a ride, while adult tickets(x) cost $3. The amount of money earned is $54. If all the seats were fi
Paha777 [63]
There are no constants here. But we have x and y here.
We will create an equation which is:
2y+3x=54.
But we will also create a second equation which states the number of seats.
x+y=24.

Now we do the two-equation solving method.
2y+3x=54
-2(x+y=24)

2y+3x=54
-2x-2y=-48

x=6

To solve for y, plug in x into one of the original equations. Which one doesn't matter.

y+6=24
y=18

7 0
3 years ago
PLEASE HELP 4 QUESTIONS 90 POINTS
kondor19780726 [428]

1.  n^2 -8n +16 = 25

Subtract 25 from both sides

n^2 - 8n + 16 - 25 = 0

Simplify

n^2 - 8n - 9 =0

Factor

(n-9)(n+1) = 0

Solve for n

n-9 = 0, n = 9

n+1 = 0, n = -1

Solution: 9,-1


2. C = b^2/25

Multiply both sides by 25:

25c = b^2

Take square root of both sides

b = +/-√25c

Simplify:

b = 5√C, -5√C


3. d = 16t^2 +12t

subtract d from both side:

16t^2 + 12t -d =0

Use quadratic formula to solve:

t = (3 +/-√(9-4d))/8


4. 5w^2 +10w =40

Subtract 40 from both side:

5w^2 + 10w -40 = 0

Factor:

5(w-2)(w+4)=0

Divide both sides by 5:

(w-2)(w+4)=0

Solve for w:

w-2 = 0, w = 2

w+4=0, w = -4

Solution: 2,-4



4 0
3 years ago
Read 2 more answers
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