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Answer:

A. 68 feet ( the length of the outer curve to the nearest foot

Option C is correct, the the length of the outer curve to the nearest foot is 86 feet.

The formula for length of arc to find the length of the outer curve.

Thus; Arc Length = radius ×angle

We are given;

Radius = 70 ft

Angle = 70° = 70 × π/180 radians

Thus;

Arc length = 70 × (70 × π/180)

Arc length = 86 ft

Therefore, the outer curve is 86 feet long. Option C is correct.

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Answer:

O [tex]\sf y = 20000(1 - 08) ^5[/tex]

O $13181.63

explanation:

[tex]\sf compound \ interest = P(1 + \dfrac{r}{100})^{n}[/tex]

insert the following given values

[tex]\sf \hookrightarrow 20000(1 - \frac{8}{100} )^5[/tex]

[tex]\sf \hookrightarrow 20000(1 - 0.08)^5[/tex]

[tex]\sf \hookrightarrow 13181.63[/tex]

Answer:

C = (12, 13)

Step-by-step explanation:

The centre of the rectangle is O.

Find the difference between the x and y-values of O and A:

[tex]O_x-A_x=\dfrac{21}{2}-9=\dfrac32[/tex]

[tex]O_y-A_y=\dfrac{19}{2}-6=\dfrac72[/tex]

Now add those difference to the coordinates of O to find C:

x value of C = [tex]O_x+\dfrac32=\dfrac{21}{2}+\dfrac32=\dfrac{24}{2}=12[/tex]

y value of C = [tex]O_y+\dfrac72=\dfrac{19}{2}+\dfrac72=\dfrac{26}{2}=13[/tex]

Therefore, the coordinates of C = (12, 13)

Answer:

Step-by-step explanation:

In rectangle the diagonals bisect each other. So,O is the midpoint of AC

[tex]Midpoint = \left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\\\x_{1}=9 \ and \ y_{1}=6\\\\\left(\dfrac{9+x_{2}}{2},\dfrac{6+y_{2}}{2} \right) = \left (\dfrac{21}{2},\dfrac{19}{2} \right)[/tex]

Compare the x- coordinates and y- coordinates

[tex]\dfrac{9+x_{2}}{2}=\dfrac{21}{2} \ ; \ \dfrac{6+y_{2}}{2}=\dfrac{19}{2}\\\\\\9+x_{2}=\dfrac{21}{2}*2 \ ; \ 6 +y_{2}=\dfrac{19}{2}*2[/tex]

9 + x₂ = 21         ;  6 +y₂ = 19

     x₂ = 21 -9     ;       y₂ = 19 - 6

     x₂ = 12         ;        y₂ = 13

C(12 ,13)

Answer:

5.138

2.624+= 7.762 is the answer

6 2

Answer:

Step-by-step explanation:

It expresses how much money he had to pay in total for the sheet music and drumsticks altogether.

Have an amazing day!

Please mark brainliest!

Answer:

He delivered [tex]\sf {\frac{1}{2}[/tex] of the newspapers in the second hour.

Explanation:

[tex]\sf total \ newspapers: \ 1[/tex]

newspapers left to deliver after first hour:

[tex]\sf 1 - \frac{3}{8}[/tex]

[tex]\sf \frac{8}{8} - \frac{3}{8}[/tex]

[tex]\sf \frac{8-3}{8}[/tex]

[tex]\sf \frac{5}{8}[/tex]

in second hour:

[tex]\sf \frac{5}{8} * \frac{4}{5}[/tex]

[tex]\sf \frac{1}{2} * \frac{1}{1}[/tex]

[tex]\sf \frac{1}{2}[/tex]

The probability that both pick the same number is p = 0.018

First, we need to count the number of options that each kid has.

Such that the common numbers in these two lists are:

We need to find the probability that both kids select one of these 3 numbers at the same time.

Then, Anna must select any of these 3 out of the 9 possibilities, so the probability for Anna is:

P = 3/9.

Then, Becky must select the same one than Anna, so there is only one number out of the 19 possibilities that she has, then the probability is:

Q = 1/19

The joint probability is given by the product between these 2 numbers, it is:

p = (3/9)*(1/19) = 0.018

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Answer:

8 1/2 divided by 2 1/4 = 3 7/9 inches

Answer:

4

Step-by-step explanation:

4    0

             12 - 0 = 12

3    3

             12 - 0 = 12             12 + 12 - 16 = 8     8/2 = 4

0    4

              0 - 16 = -16

4    0

Answer:

30 percent

Step-by-step explanation:

7/10 is 70%

100%-70%=30%

Answer:

the answer is 30%

Step-by-step explanation:

I got the answer correct on the test

Answer:

Step-by-step explanation:

When solving a system of equations using substitution, you look for an equation that makes it simple to write an expression for one of the variables in terms of the other(s). Here, the first equation already gives you an expression for x, so it is easiest to substitute for x in the second equation:

  (2y -5) +2y = 4 . . . . . . (2y-5) substituted for x

  4y = 9 . . . . . . . . . . add 5 and simplify

  y = 9/4 . . . . . . . . divide by 4

  x = 2(9/4) -5 = 9/2 -10/2 = -1/2

The solution is (x, y) = (-1/2, 9/4).

Answer:

Step-by-step explanation:

because CE is 8 and the space is equal to ET

Using a system of equations, it is found that the usual waiting time for the bumper cars is of 7.5 min.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

The waiting time for the roller coaster is usually 3 times as long as the waiting time for the bumper cars, hence:

x = 3y

The park's website says that visitors who go on both rides should expect to wait a total of 30 min, hence:

x + y = 30

Since x = 3y:

3y + y = 30

4y = 30

y = 30/4

y = 7.5.

The usual waiting time for the bumper cars is of 7.5 min.

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The characteristics of the given points are observed during the

geometric construction processes.

Responses:

Step 1: The point O is the center because it is equidistant from the three points

Step 2: PQ = PR = QR, therefore, ΔPQR is an equilateral triangle

b) The ratio of a leg to the hypotenuse side of ΔACF is 0.5, therefore, ΔACF is a 30°– 60°–90° triangle

c) The points of intersection of the diameter and a  perpendicular bisector with the circumference of the circle are the vertices an inscribed square of the circle

Step 1: How to know that the point O is the center of the circle is as follows;

The perpendicular bisectors constructed are the locus of points

equidistant from the both points D and E and also the perpendicular

bisector gives the locus of points equidistant from points E and F

Therefore;

OE = OE, by reflexive property

OE is also equal to OF and OD by definition of the point O being on both

perpendicular bisectors.

Given that OE = OF = OD, we have that the point O is the center of a

circle with radius, OE = OF = OD passing through the points E, F, and D

Therefore;

Step 2: Given that the center of the circles are the points P and Q, we have;

PQ = The radial length of the two circles

Similarly

PR and QR are radial lengths of circle P and Q respectively

Therefore;

PQ = PR = QR

Which gives;

b) FC is the diameter of circle M

Therefore;

∠ACF is 90° and ΔACF is a right triangle

The ratio of the a leg to the hypotenuse side of a 30°– 60°–90° triangle is 0.5

Length of FA = FM = MC

[tex]\dfrac{FA}{FC} = \dfrac{FA}{FM + FC} = \dfrac{FA}{FA + FA} = \dfrac{FA}{2 \times FA} = \dfrac{1}{2} = \mathbf{0.5}[/tex]

c) The steps that can be used to locate the vertices of a square inscribed

in a circle are;

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[tex][Hello,BrainlyUser][/tex]

Answer:

[tex]1\frac{1}{15}[/tex]

Step-by-step explanation:

To Convert to a mixed number..

First, Let's add both fraction.

[tex]\frac{2}{15} + \frac{14}{15}[/tex]

The two fractions have like denominators so you can add the numerators.

[tex]\frac{2+14}{15}=\frac{16}{15}[/tex]

The fraction

[tex]\frac{16}{15}[/tex]

is the same as

[tex]16[/tex] ÷ [tex]15[/tex]

Convert to a mixed number using

long division for 16 ÷ 15 = 1R1, so

[tex]\frac{16}{15}=1\frac{1}{15}[/tex]

Therefore,

[tex]\frac{2}{15}+\frac{14}{15}=1\frac{1}{15}[/tex]

Hence, your answer is 1 1/15

[tex][CloudBreeze][/tex]

Answer:

9

Step-by-step explanation:

[tex]729 = 9^3[/tex]

Answer: 4

there are six sides on a cube. all sides/edges are equal so 6 sides times 4 units = 24.

Answer:

(0,-1) and (-1,-2)

Step-by-step explanation:

Answer:

D. 82

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

remember, when you have a double negative, you can instead add so:

4 1/3-(-2/3) is the same as

4 1/3 + 2/3 = 5

Answer:

55

Step-by-step explanation:

Value of √3025 by Long Division Method

Forming pairs: 30 and 25

Find a number Y (5) such that whose square is <= 30. Now divide 30 by 5 with the quotient as 5.

Bring down the next pair 25, to the right of the remainder 5. The new dividend is now 525.

Add the last digit of the quotient (5) to the divisor (5) i.e. 5 + 5 = 10. To the right of 10, find a digit Z (which is 5) such that 10Z × Z <= 525. After finding Z, together 10 and Z (5) form a new divisor 105 for the new dividend 525.

Divide 525 by 105 with the quotient as 5, giving the remainder = 525 - 105 × 5 = 525 - 525 = 0.

We stop the process since the remainder is now 0 and there are no more digits that can be brought down.

Therefore, the square root of 3025 by the long division method is 55.

Answer:

Bobby is 8

Step-by-step explanation:

Bobby is 8 because 8*2=16. and 16+8=24

Answer:

21÷3= 7

ans check 7×3 = 21

answer =21

Answer:

12 days

Step-by-step explanation:

10% = 3 (30/10)

To find 40%, we can just times the above by 4.

3*4=12 therefore 12 days can expect rain.

Hope this helps!

The number of days you would expect rain is 12 days in April.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

Probability of rain in april= 40%

Days=30

Now,

To answer this question, you need to use the formula for expected value:

Expected value = probability × number of trials

In this case, the probability of rain is 40%, which can be written as 0.4 in decimal form. The number of trials is the number of days in April, which is 30.

Plugging these values into the formula, we get:

Expected value = 0.4 × 30 = 12

Therefore, by probability the answer will be 12 days in April.

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Answer:

[tex]\huge\boxed{\sf{Und.efined}}[/tex]

Step-by-step explanation:

Hello.

There are 2 ways to solve this problem.

One of them is to use the slope formula.

The other one is to simply look at the x-coordinates and see that they are the same.

This means the slope is undefined.

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]

Answer:

infinite

Step-by-step explanation:

[tex]\mathsf{slope=\dfrac{change \ in \ y}{change \ in \ x}}[/tex]

[tex]\implies \mathsf{slope=\dfrac{0-3}{-4--4}=-\dfrac30}[/tex]

Therefore the slope is infinite

Answer:

Answer: 1/3

Step-by-step explanation:

The probability of getting tails when tossing a coin is 1/2

The probability of rolling a number greater than 2 is 4 (3 4 5 6)

So 4/6 or 2/3 of the time is the probability of throwing the die and getting a number greater than 2.

The combined probability of getting both is 1/2 * 2/3 = 2/6 or 1/3

Answer: always

Step-by-step explanation:

Answer:

15:32

Step-by-step explanation:

3/4 of an hour = 45 minutes.
1 3/5 hours = 8/5 of an hour = 96 minutes

So, the ratio can be written as 45:96, or simplified as 15:32