SOMEONE PLS HELP
Find the arc length of the partial circle.
Either enter an exact answer in terms of te or use 3.14 for at and enter your answer as a decimal.
units

Using the tangent theorem and the inscribed angle theorem, the measure of angle YAC in the figure is: 70°.

The angle formed at the point of tangency of the radius and the tangent equals 90 degrees based on the tangent theorem.

According to the inscribed angle theorem, an inscribed angle equals the measure of the arc intercepted.

m∠BAY = 1/2(40) [inscribed angle theorem]

m∠BAY = 20°

m∠BAC = 90° [tangent theorem]

m∠YAC = 90 - 20

m∠YAC = 70°

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Answer:

111.75 degrees

Step-by-step explanation:

EDF = cos^-1((b²+c²-a²)/2bc)

EDF = cos^-1((10.4²+19.6²-13.2²)/2(10.4)(19.6))

EDF = 111.75 degrees

Answer:

y=4x+4

Step-by-step explanation:

using y=mx+b, y is y since we are writing a function. 4 would be the slope, as that is added per minute, so that takes the place of m, and x stays the same, which leaves b, the y intercept, to be 4. this is because the barrel already had 4 gallons inside before.

Answer:D

Step-by-step explanation:

The probability of having cats and dogs is 7/30.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

Definitions of Probability Theory Terms

The probability terminology listed below aid in a better comprehension of probability concepts.

Experiment: A trial or procedure carried out to generate a result is referred to as an experiment.

Sample Space: A sample space is the collection of all potential results of an experiment. Tossing a coin, for instance, has two possible outcomes: head or tail.

Favorable Consequence: An occurrence is deemed to have generated the desired outcome or an anticipated event if it did so. For instance, if we roll two dice and receive the total of the two numbers as 4, the possible/favorable possibilities are (1,3), (2,2), and (3,1).

Trial: To conduct a trial is to conduct a random experiment.

Given:

total students = 30

students have cat = 17

student have dog = 17

students have both =7

So, the probability of having cats and dogs

=7/30

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The approximate amount of water that remains in the tub after the 6 spherical balls are placed in the tub are 3479.12 in³.

The first step is to determine the volume of the cylinder.

Volume of the tub = πr²h

Where:

3.14 x 9² x 20 = 5086.8 in³

The second step is to determine the volume of the 6 balls.

Volume of a sphere= 4/3πr³

r = diameter / 2 = 8/2 = 4 inches

6 x (3.14 x 4/3 x 4³) = 1607.68 in³

Volume that remains in the tub = 5086.8 in³  -  1607.68 in³ = 3479.12 in³

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Answer:

11

Step-by-step explanation:

First, order the numbers in the given set from least to greatest:

8 , 9 , 9 , 10 , 12 , 14 , 15 , 15

The median is the number found in the middle of the given set. If the amount of numbers in the set are even (as in this case), then you will find the mean of the two middle numbers.

In this case, the middle numbers are 10 & 12:

Find the mean. The mean is found by adding all the numbers together and dividing by the amount of numbers there is:

(10 + 12)/2 = (22)/2 = 11

11 is your median.

~

Answer:

11.

Step-by-step explanation:

12, 10, 14, 9, 8, 9, 15, 15

Arrange in ascending order:

8 9 9 10 12 14 15 15

Here, the median is the mean of the 2 middle numbers:

= (10+12) = 11.

Answer:

1/5

Step-by-step explanation:

solution [ calculation of probability ]

P= (3/3+6) × (6/3+6-1)

=3/9×6/10

=1/5

Answer:

Step-by-step explanation:

This sounds like a Pythagoras theorem question. So what I would do is 18^2 - 10^2= Ans

Then square root the answer

Answer: the answer is 15

Step-by-step explanation:

so,

x²y³ = 10

x³y² = 8

what is the value of x⁵y⁵ ?

don't you see right away that 2+3 and 3+2 both equal 5 ?

so, x³x² = x⁵

y²y³ = y⁵

so, I only need to multiply both equations with each other. and I get

x²y³×x³y² = 10×8

x⁵y⁵ = 80

why ? because multiplications and exponents (which are nothing else than multiplications) are all communicative :

a×b = b×a.

Answer: The square is inscribed in a circle that means the square is drawn inside a circle such that it's vertices lie on the circle.

You need to remember that the vertices of the square lie on the circumference of circle and the center of circle is also the midpoint of diagonals of the square i.e. Diagonal of the square is equal to diameter of the circle.

We could also see the image of such figure.

Answer:

$9,347.62

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}[/tex]

where:

Given:

Substituting the given values into the formula and solving for A:

[tex]\implies \sf A=6500\left(1+\frac{0.037}{1}\right)^{10 \times 1}[/tex]

[tex]\implies \sf A=6500\left(1.037\right)^{10}[/tex]

[tex]\implies \sf A=9347.617232[/tex]

Therefore, the value of account after 10 years is $9,347.62

Let's see

[tex]\\ \rm\Rrightarrow A=P(1+r)^t[/tex]

So

A:-

[tex]\\ \rm\Rrightarrow 6500(1+0.037)^{10}[/tex]

[tex]\\ \rm\Rrightarrow 6500(1.037)^{10}[/tex]

[tex]\\ \rm\Rrightarrow \$ 9347.6[/tex]

Answer:

1. 84º

Step-by-step explanation:

1. CEB = 180º - 96º

  CEB = 84º

you do the rest

Answer:

V= volume of cone A=Ah A= πr2

A= area of base 3

H= height

V= (3.1416)(16)(15) 3.1416x16x15= 753.9

3

V= 753.9 753.9÷3= 251.3 cu. in

3

Volume of the cone is 251.3 cu. in

I hope this helps you. Good luck!

Answer:

In quadrant I, the answer is A. sin(x) ≈ 0.97

To Sketch a graph of each of the four angles of 30°, 150°, 210°, 330°, one can follow the example that is given in the image.

In the mathematics, a sketch is known to be a given category  that tells what a thing is all about.

Note that in sketching, one need to take not of the key points and angles and as such, To Sketch a graph of each of the four angles of 30°, 150°, 210°, 330°, one can follow the example that is given in the image.

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Answer:

Step-by-step explanation:

Circumference = 2 π r

100 =  2 π r

r = 100 / 2π

= 50/π

So the area = π r^2

=  π * (50/π)^2

= 2500/π

= 795.8 yd^2.

Answer:

6.42 %

Step-by-step explanation:

3412.23 = 2500(1+i)^5

i = 6.42%

Answer:

The diameter is 6.76

Please read the exaplanation... it always helps!

Step-by-step explanation:

Area of circle = r^2 pi

if the area is 36 then...

36 = r^2 pi           to solve for r divide both sides by pi

36/pi = r^2

11.45 = r^2             take the square root of both sides

√11.45 = r                 RADIUS = 3.38

then multiply by two since the diameter is 2 (radius) and you get...

diameter = 6.76

i hope this helpssssss!!!!!!!

Answer:

[tex]area = \pi {r}^{2} [/tex]

[tex]36 = 3.14 \times {r}^{2} [/tex]

[tex] \frac{36}{3.14} = {r}^{2} [/tex]

[tex] {r}^{2} = 11.46[/tex]

[tex]r = \sqrt{11.46} [/tex]

[tex]r = 3.39[/tex]

[tex]diameter = 2 \times radius[/tex]

[tex]diameter = 3.39 \times 2[/tex]

[tex] = 6.78[/tex]

Step-by-step explanation:

your a. is wrong.

so, we need to do both.

a.

you did not really read carefully. DE = 4x and not 4.

DE = 4x does not mean x = 4. absolutely not.

so, you cannot just use x=4 in the first triangle.

but you are right, AB and DE correlate between the 2 congruent triangles.

therefore

3x + 6 = 4x

6 = x

so, AB = 3x + 6 = 3×6 + 6 = 18 + 6 = 24 ft

b.

congruent means that the sides and the angles are the same between the 2 triangles.

so,

6y + 12 = 8y + 2

12 = 2y + 2

10 = 2y

y = 5

so, the angle EDF is

8y + 2 = 8×5 + 2 = 40 + 2 = 42°

Step-by-step explanation:

optically, they are congruent.

so, it must be a reflection followed by a translation.

there is no 90° rotation. and the result cannot be created only by a reflection.

Answer:

10 pounds of copounds must be mixed

Step-by-step explanation:

Because if Mr wom wants 60 pounds if 1 cost &$6.00 he must take the prime number that can be multiplied by 6 to give us 60. The number is 10.

The least amount that Bill must pay to buy the tiles he needs is $292.50

The total cost of buying the tiles individually is : cost per tile x total tiles needed

$0.40 x 864 = $345.60

The total cost of buying the tiles in a box of 100 is : $32.50 x 9 = $292.50

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Answer:

We can identify that the histogram is skewed to the left (more on the left) the center would be 3 and the spread is saying more students are between 58-59 and 60-61 inches were as there is only 3 for the rest

Step-by-step explanation:

I hope this helps I have the same question and this is what I wrote for my answer

3

Step-by-step explanation:

there are 6 solutions, 3 contain 2 heads, i think. dont judge me if its wrong.

Answer:

754 divided by 13= 58

I hope this Helps! ;)

Answer:

Step-by-step explanation:

Answer:

[tex] \: [/tex]

Step-by-step explanation:

In the question, it is given that a sphere has a radius of 10 cm and we have to find the volume of the sphere.

To Find the volume of the cone, we must know this formula :

[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(sphere) }= \dfrac{4}{3} \: \pi {r}^{3}}}}}}}} \\ \\[/tex]

Now, we will substitute the values in the formula :

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times {(10)}^{3}}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times 1000}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3140}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4 \times 3140}{3} }}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{12560}{3} }}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= 4186.6 }}}}}} \\ \\[/tex]

Therefore,

Given :

To Find :

Solution :

As we know that volume of sphere is calculated by the formula :

Here,

Putting the values in the formula,

>> V = (4 / 3) × (22 / 7) × (10)³

>> V = (4 / 3) × (22 / 7) × (10 × 10 × 10)

>> V = (4 / 3) × (22 / 7) × (10 × 100)

>> V = (4 / 3) × (22 / 7) × 1000

>> V = 4 × 22 × 1000 / 3 × 7

>> V = 88 × 1000 / 3 × 7

>> V = 88000 / 3 × 7

>> V = 88000 / 21

>> V = 4190.47 cm³

Answer:

d∥e

Step-by-step explanation:

The figure shows that line e is perpendicular to line b, and line d is perpendicular to line b.

Theorem: If two lines are perpendicular to the same line, then the lines are parallel.

Since lines d and e are perpendicular to the same line, b, then lines d and e are parallel.

Answer: d∥e