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Answer:

78.5 cm²

Step-by-step explanation:

GIVEN :-

TO FIND :-

FORMULAES TO BE USED IN THIS QUESTION :-

SOLUTION :-

[tex]Radius\: (r) = \frac{Diameter}{2} = \frac{10}{2} = 5 cm[/tex]

[tex]=> Area = \pi r^2[/tex]

               [tex]= 3.14 \times (5)^2[/tex]

               [tex]= 3.14 \times 25[/tex]

               [tex]= 78.5 \: cm^2[/tex]

Answer:

C and E

Step-by-step explanation:

Answer:

3 and 5

Step-by-step explanation:

The solution of this problem is in this picture.

Answer:

AUB= {1,2,3,5,6,7,9}

AnB={1,2,3}

Answer:

He paid $640 out of his total $3,200 for the month.

As a fraction it is (640/3200) which equals (1/5)

We want it as a percentage so we multiply the fraction by 100.

1/5×100=20%

20% is the final answer.

Answer:

A hexagon has six sides, and we can use the formula degrees = ( number of sides – 2) × j180. Then degrees = (6 – 2) × 180 = 720 degrees. Each angle is 720/6 = 120 degrees. straight angle is 180 and that one angle of hexagon 120 so 180 - 120 = 60

answer: value of x is 60 degrees

Answer:

8

Step-by-step explanation:

It asks for the y-intercept. The y-intercept is (0,?) the slope is -3 which means it's decreasing by 3. 5+3=8 so 8 is the y-intercept.

Hope this helps and pls tell if it's correct.

Answer: a

Step-by-step explanation:

its the first one

Answer:

the first one is A and the second one is B

Step-by-step explanation:

im doing the assignment right now

f(g(7)) = 20

Hope it helps you...

Answer:

18x

Step-by-step explanation:

If f(x) is 5x which can also be expressed 5(x)

Then r(x) is a number then x

f is the fifth digit in the alphabet

So fx is 5x

r is the 18 th letter so

18x

Given:

The given number is:

[tex]96[/tex]

To find:

The product of prime factors of given number.

Solution:

We have,

[tex]96[/tex]

The prime factors of given number are:

2 | 96

2 | 48

2 | 24

2 | 12

2 | 6

3 | 3

  | 1    

So, 96 can be written as:

[tex]96=2\times 2\times 2\times 2\times 2\times 3[/tex]

Therefore, the 96 as the product of prime factors is [tex]96=2\times 2\times 2\times 2\times 2\times 3[/tex].

Answer:

The answer is "Option C".

Step-by-step explanation:

In this question, the distance value is -5 that's why option c is correct.

Answer:

C. Jasmine gave a negative answer for distance.

Step-by-step explanation:

15a)

[tex]x^2+4x=21[/tex]               Subtract both sides by 21

[tex]x^2+4x-21 =0[/tex]

15b)

7 and -3 multiply to -21 and add to 4

The factors are (x+7)(x-3)

15c)

x+7 =0

x=-7  

x-3=0

x=3              

Answer:

3/5 is expressed as 60% in terms of Percentage.

Let's convert the fraction 3/5 into percent. Now, 60/100 is expressed as 65% in terms of percentage.

Answer:

140

Step-by-step explanation:

40 divided by 16 = 2.5 .  350 divided by 2.5=140 hope this helped

Answer:

Evaluated, you get 4x^4

Step-by-step explanation:

Differentiated, you get 16x^3

It all depends on what you're looking for, really

Answer:

8

Hope this answer is right!!

Explanation:

Given, a×b=a^b=2 ×3

=2^3

=8

So, the value of 2 ×3 =8.

Given:

Principal = $54,000

Time = 9 years

Rate of compound interest = 12% per annum.​

To find:

The compound interest.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest in decimal, n is the number of time interest compounded and t is the number of years.

The interest is compounded annually, so [tex]n=1[/tex].

Substituting [tex]P=54000,\ t=9,\ n=1,\ r=0.12[/tex] in the above formula, we get

[tex]A=54000\left(1+\dfrac{0.12}{1}\right)^{1(9)}[/tex]

[tex]A=54000\left(1.12\right)^{9}[/tex]

[tex]A=149746.252902[/tex]

[tex]A\approx 149746.25[/tex]

The amount after 9 years is $149746.25.

Now, the compound interest is:

[tex]C.I.=A-P[/tex]

Where, C.I. is compound interest, A is amount and P is principal.

[tex]C.I.=149746.25-54000[/tex]

[tex]C.I.=95746.25[/tex]

Therefore, the compound interest is $95746.25.

Answer:

sin θ = 22.62°

cos θ = 22.62°

tan θ = 22.62°

Step-by-step explanation:

From the diagram above

Opposite = 5

Adjacent = 12

Hypotenuse = 13

a) sin θ = Opp/Hypotenuse

sin θ = 5/13

sin θ = 0.3846153846

arc sin 0.3846153846

= 22.619864948°

Approximately = 22.62°

b) cos θ = Adjacent/ Hypotenuse

θ = 12/13

= arccos(0.9230769230769231)

22.619864948°

Approximately = 22.62°

c) tan θ = Opposite/Adjacent

θ = 5/12

= arctan(0.4166666666666667)

= 22.619864948°

= 22.62°

Answer:

The answer is "35.22".

Step-by-step explanation:

Let the given equation:

[tex]\to 130(x-38) +950 \% \times 38=0\\\\\to 130x- 4940+\frac{950}{100} \times 38=0\\\\\to 130x- 4940+9.5\times 38=0\\\\\to 130x- 4940+361=0\\\\\to 130x- 4579=0\\\\\to 130x= 4579\\\\\to x= \frac{4579}{130}\\\\\to x= 35.22[/tex]

Answer: $25

Step-by-step explanation: took the quiz

Answer:

Δy = 5  Δx = 1

slope = [tex]\frac{5}{1}[/tex] = 5

Step-by-step explanation:

Step-by-step explanation:

a. increased b. discreased c. increased d. decreased

Answer:

inverse: f-(x)=x+3/5

Step-by-step explanation:

Set f(x)=x and x=y

x=y-3/5

isolate y by adding 3/5 to both sides

x+3/5=y

this is the inverse :)

Answer:

kojo = x + 15

kofi = $182.50

kojo = $197.50

Step-by-step explanation:

kofi = x  

kojo = x + 15 (since Kojo h as 15 cedis more than Kofi)

380= x + 15 + x

2x + 15 = 380

combine like terms

2x = 380 - 15

2x = 365

x = 182.50

Kojo = 15 + 182.50 = $197.50

Answer:

For any integer number n, the inverse additive of n is also an integer K such that:

n + K = 0

solving this for K, we get that:

K = -n

Then the inverse additive of n is -n.

Now that we know this let's complete this.

We know that for any two integers A and B, a minus b is equal to a plus the additive inverse of b.

To check this:

a minus b is written as:

a - b

And a plus the additive inverse of b is:

a + (-b)

because -b is the additive inverse of b.

Remember the rule sign:

(+)*(-) = -

Then we can rewrite:

a + (-b) = a - b

Then the statement is true.

"For any two integers a and b, a minus b is equal to a plus additive inverse of b is equal to a + (-b)"

Answer:

1. The two decimals are 1.06 and 1.28. 2. The numbers 1.06 and 1.28 are both between 1 and 2.

Step-by-step explanation:

many things are possible.

the only thing we must not do is mixing the addition elements with the multiplication elements.

but we could change the expression to

3×(3×8) + 5

or

5 + (3×3)×8

or

5 + (3×8)×3

and so on, and it would always be the same result.

The new expression is 3×(3×8)+5. Therefore, option B is the correct answer.

The given expression is 5+3 ×(3×8).

We need to use the commutative property of addition and the associative property of multiplication to rewrite the given expression.

The commutative property deals with the arithmetic operations of addition. It means that changing the order or position of two numbers while adding them does not change the end result.

Associative property of multiplication: The associative property of multiplication says that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.

The new expression=3×(3×8)+5

Therefore, option B is the correct answer.

#SPJ2

Your question is incomplete, probably the complete question/missing part is:

Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 5+3 * (3*8)

A. (3*3)*8+8

B. 3*(3*8)+5

C. 5+3*(24)

D. 3*(8*3)+5

Answer:

(x-a)(y-b)=r²

(x-(-3))(y-(-5))=r²

(x+3)2(y+5)2=36