A circle has a radius of 12.6 cm. What is the exact length of an arc formed by a central angle measuring 100°?

the answer choices are in the picture please help i’ll give brainliest!!

Answer:

b=120°

c=60°

d=60°

SEE THE IMAGE FOR SOLUTION

The volume of the pyramid is 576 cubic inches.

To find the volume of a square base pyramid, you can use the formula:

Volume = (1/3) x base area x height

In this case, the side of the square base is given as 12 inches, and the height is given as 12.5 inches.

First, calculate the base area of the pyramid:

Base area = side²

= 12²

= 144 square inches

Now, substitute the values into the volume formula:

Volume = (1/3) x 144 x 12.5

Volume = 576 cubic inches

Therefore, the volume of the pyramid is 576 cubic inches.

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Check the picture below.

Answer:

8

Step-by-step explanation:

bResponses

y = 8

y, = 8

y = 3

y, = 3

y=−3

The equation of the line that passes through the point (7, 6) with slope 0 is y = 6

Given,

The points which the line passes, (x₁, y₁) = (7, 6)

Slope of the line, m = 0

We have to find the equation of the line:

We know that,

y - y₁ = m(x - x₁)

So,

y - 6 = 0(x - 7)

y - 6 = 0

y = 6

That is,

The equation of the line that passes through the point (7, 6) with slope 0 is y = 6

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Answer:

C

Step-by-step explanation:

We know that the cost of a glue stick is proportional to the quantity

Thus, you could create a proportion for 4 glue sticks costing $7.76 (4 / 7.76) and 13 glue sticks costing $x (13 / x), where you'd need to solve for x by cross multiplying:

\(\frac{4}{7.76}=\frac{13}{x}\\ \\ 4x=100.88\\x=25.22\)

When we do the math, we see that 4 / 7.76 simplifies to about 0.51 and 13 / 25.55 also simplifies to about 0.51, showing the the two fractions are proportional.

Answer:

2/15 6/15 8/15 9/15 12/15

Step-by-step explanation:

Answer: 2/15, 6/15, 8/15, 9/15, 12/15.

Step-by-step explanation:

Just treat the denominators like they are not there for now, and treat the numerators like they are whole numbers and then rearrange:

8, 2, 9, 6, 12

Now rearrange from smallest to largest:

2, 6, 8, 9, 12

Now just put the denominators back in under the arranged numbers:

2/15, 6/15, 8/15, 9/15, 12/15

Words and their definitions:

Numerator: Top part of the fraction

Denominator: Bottom part of the fraction

Answer:64

Step-by-step explanation:16 × 4

The average number of students who are afraid of spiders and snakes is 15. (Option C).

To calculate the average number of students who are afraid of spiders and snakes, you need to add the number of students afraid of spiders and the number of students afraid of snakes, and then divide by 2 (since there are two categories being considered: spiders and snakes).

Average = (Number of students afraid of spiders + Number of students afraid of snakes) / 2

Given the information:

Number of students afraid of spiders = 18

Number of students afraid of snakes = a little more than 11 (let's consider 12 for calculation)

Average = (18 + 12) / 2 = 30 / 2 = 15

So, the average number of students who are afraid of spiders and snakes is 15.

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Answer:

A, D, E

Step-by-step explanation:

A)  32/3 x 9/10 = 96/10 = 9.6

D) 1/8 x 32/3 = 4/3 = 1.33

E) 2/3 x 3/5 = 2/5 = 0.4

Answer:

3 min.

5 balloons.

Step-by-step explanation:

How many minutes does it take to make one balloon sculpture?

t = (Total time) /  (Total identical  balloon sculptures) = 96 / 32 = 3 min.

How many balloons are used in one  sculpture?

n = (Total balloons) /  (Total identical  balloon sculptures) = 160 / 32 = 5 balloons.

The amount of money increases by $125,000 due to the decrease in the reserve rate. The correct answer is B. It increases the amount by $125,000.

When the Federal Reserve decreases the reserve rate, it allows banks to hold a smaller portion of their deposits as reserves and lend out a larger portion. This change stimulates lending and increases the money supply in the economy through the process of fractional-reserve banking.

In this scenario, the initial deposit of $15,000 can be multiplied by the money multiplier, which is the reciprocal of the reserve rate. Initially, with a reserve rate of 6%, the money multiplier is 1/0.06 = 16.67. Therefore, the initial deposit can lead to a maximum increase in the money supply of $15,000 x 16.67 = $250,050.

When the reserve rate is decreased to 4%, the money multiplier becomes 1/0.04 = 25. Therefore, the same initial deposit of $15,000 can now result in a maximum increase in the money supply of $15,000 x 25 = $375,000.

The difference between the two scenarios is $375,000 - $250,050 = $124,950, which is approximately $125,000. Hence, the amount of money increases by $125,000 due to the decrease in the reserve rate.

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Answer:

The common denominator would be 40

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

to dilate is to divide or to make smaller.

when dilating by a factor of 6, take one of the measurements given which is 9 and divide it by 6.

9/6 = 3/2 = 1.5

1.5 is the new radius

the circumference formula is 2*pi*r or pi*d where 'd' is the diameter. without evaluating with pi, this is what you get:

2*pi*r

2*pi*1.5

3*pi

now 'n' equals 3

According to the equation the given all necessary math work are:

\(A: (x -f)^2 +(y -g)^2 = h^2\)

B:  domain: [-5, 11]; range: [-9, 7]

C:  yes, inside

The hypοtenuse's square is equal tο the sum οf the squares οf the οther twο sides if a triangle has a straight angle (90 degrees), accοrding tο the Pythagοras theοrem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypοtenuse BC are all used in this equatiοn. The lοngest side οf a right-angled triangle is its hypοtenuse, it shοuld be emphasized.

Part A:

Use οf the Pythagοrean theοrem gets yοu tο the equatiοn fοr a circle in essentially οne step:

sum οf squares οf sides = square οf hypοtenuse

\((x -f)^2 +(y -g)^2 = h^2\) . . . . . . circle cantered οn (f, g) with radius h

Part B:

The circle will be defined fοr values οf x in the dοmain f ± h, and fοr values οf y in the range g ± h.

dοmain: 3 ± 8 = [-5, 11]

range: -1 ±8 = [-9, 7]

Part C:

The distance frοm pοint (10, -4) tο (f, g) is ...

\(h^2 = (10 -3)^2 +(-4 -(-1))^2\)

\(h^2 = 7^2 +(-3)^2 = 49 +9 = 58\)

h = √58 < 8 . . . . the distance tο the pοint is less than h=8.

The pοint is inside the circle.

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Answer:

\(a_n=2^{n-1}\)

Step-by-step explanation:

This is a geometric sequence with first term 1 and common ratio 2. Therefore,

\(a_n=2^{n-1}\)

\(-5x+4 = 29 \iff -5x =29-4 \iff -5x = 25\\\)

\(x = 25:(-5) \implies \bf x = -5\)

Answer: X = 5

Step-by-step explanation: f(x) is 29, plus it in to f(x)=-5x+4

29=-5x+4

Subtract the 4 with itself and 29

-5x=25

Divide both numbers by -5, you dont want x to be a negative

X = 5

Answer:

Step-by-step explanation:

Ana's conjecture that Raul lost 2/5 of his baby teeth is true.

To see why, consider that Raul originally had 20 baby teeth. If he lost 8 of these teeth, that means he has 20 - 8 = 12 baby teeth remaining. To determine what fraction of his baby teeth he lost, we can calculate:

8 baby teeth lost / 20 baby teeth total = 2/5

So, Raul lost 2/5 of his baby teeth, which supports Ana's conjecture.

On the other hand, Raul's statement that he lost 4/10 of his baby teeth is not correct, since 4/10 can be simplified to 2/5, which is the same as Ana's conjecture that he lost 2/5 of his baby teeth.

The truth table is shown below.

Refer to the row highlighted in yellow.

P⇒Q is false when P is false and Q is true, otherwise it is true.

P v Q is false when both P and Q are false, otherwise it is true

P ⇔ Q is true only when P and Q have the same truth values together (both need to be true or both need to be false). Think of it like an equal sign.

Answer:

-9

Step-by-step explanation:

brackets first

therefore

-3(3)=

then its just multiplication

-3 x 3 = -9 or -3(3) = -9

these are the same. Also a negative times a positive is a negative this is why its -9.

Answer:

10

Step-by-step explanation:

You can get the three consecutive integers by using algebraic expressions.

Let's solve.

Let x be the smallest even integer.

Let x+2 be the second even integer.

Let x+4 be the largest even integer.

Therefore, 10 is the smallest even integer.

x+2 = 10+2 = 12

The second even integer is 12.

x+4 = 10+4 = 14

The largest even integer is 14.

Let's check by adding the three even integers.

10+12+14 = 36

36 = 36

It's correct.

Answer:

your awnser is 60m hope it helps

Answer:

1) (4x)² - (5)²

2) (4x + 5) (4x -5)

3) Zeros of b are \(\frac{5}{4}\) and \(\frac{-5}{4}\) (can also be 1.25 and -1.25)

Answer:

a)

Step-by-step explanation:

Everytime we divide, subtract, add, or multiply, we do it to BOTH sides to make sure they are still equal. a) is clearly correct because adding 4 to both sides results in 6p = 18, which we can figure out quickly that p = 3, buy dividing both sides by 6.

Answer:

6p-4=14

6p=14+4

6p=18

p=18/6

p=3

Answer:

\(Rate = \$0.5\) per cookie

Every cookie is sold at $0.5

Step-by-step explanation:

See attachment for complete question

Required

Determine the unit rate

To solve this, we simply take any corresponding values of Cost of cookies and number of cookies

When

Cost = $2

Number = 4

\(Rate = Cost/Number\)

\(Rate = \$2/4\)

\(Rate = \$0.5\) per cookie

Pick another corresponding values

When

Cost = $6

Number = 12

\(Rate = Cost/Number\)

\(Rate = \$6/12\)

\(Rate = \$0.5\) per cookie

Hence, the unit rate is $0.5 per cookie

What it represents is that: Every cookie is sold at $0.5

Answer:

follow me and followback kita

Step-by-step explanation:

legit hindi ko alam sagot

We need to find the area of the prism given in the following image:

You need to add the surfaces of ALL rectangles in the image (recall that the area of a rectangle is : Base x Height)

So for this prism we have:

FOUR rectangles that measure 5 x 2

and also TWO small squares of area 2 x 2

So we need to select all the formulas they give you that read like the addition of the two above:

(5x2) + (5x2) + (5x2) + (5x2) + (2x2) + (2x2)

It can also be written as:

2 (5x2) + 2 (5x2) + 2 (2x2)

Answer:

2 and -9

Step-by-step explanation:

2 times -9 is -18

2 plus -9 is -7

Hope this helped!

Answer:

Rebekah, the height of a hemisphere is its radius. The volume of a sphere is 4/3 π r3. So the volume of a hemisphere is half of that: V = (2 / 3) π r3.

Answer:

V = (2 / 3) π r3.

Step-by-step explanation:

1/2 x 4/3 x π r3 = 2/3π r3