4. Find the arc length.

Answer:

Step-by-step explanation:

The total distance he travelled to the nearest hundredth of a mile is; B: 3.37 miles

Let F represents his starting point.

Let C represent his position from where he went to east direction.

Let H represent his position from where he went to left towards Florida Avenue.

We are given that;

FC = 0.75 miles

CH = 1.2 miles

∠FCH = 90°(This can be deduced from the question)

By Pythagoras theorem, we have;

FH = √(0.75² + 1.2²)

FH = 1.42

Thus;

Total distance he covered = FC + CH + FH

Total distance covered = 0.75 + 1.2 + 1.42

Total distance covered = 3.37 miles

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Answer:

a=17

c=9

Step-by-step explanation:

balls

Answer:

c=9 and a=17

Step-by-step explanation:

1. 2a+3c=61

2. 3a+5c=96

the LCM between 2 and 3 is 6 so

equation 1 *3

3.6a+9c+183

equation 2*2

4. 6a+10c=192

equation 3 - equation 4

5. -c=-9

c=9

substitute c into equation 1 or 2 to find a

3a+5(9)=96

3a+45=96

3a=51

a=17

Answer:

See below

Step-by-step explanation:

[tex] {3}^{4} = ( {3}^{2} )^{2} = {9}^{2} \\ \\ \implies \: {3}^{4} = {9}^{2}[/tex]

Answer:

think of it like this

Step-by-step explanation:

whenyou have 9 squared you do 9*9 but since we are not able to calculate the values we will just say thereare 2 9's

Now we got 3^4  how many three's multiplied together make 9.. answer is 2 So If you simplify3^4 to 9^2 they are both the same

basically you are multtiplying the left side to get the same number on the right because it tells you they are even

Answer:

65

Step-by-step explanation:

115 + x = 180

x = 180 - 115

x = 65

Answer:

65°

Step-by-step explanation:

A right-angle equals 90°. Two right angles would be a line like shown in the picture.

So, 90 + 90 = 180.

Since we know the whole amount of the 2 angles combined is 180, all we have to do is subtract 115 from 180 to find the missing value.

180 - 115 = 65

Therefore, 65° equals x.

-kiniwih426

Answer:

x = 3

Step-by-step explanation:

[tex] {2}^{(2x - 3)} \ast {5}^{(x - 1)} = 200 \\ \\ \implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} =8 \ast \: 25 \\ \\\implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} = {2}^{3} \ast {5}^{2} [/tex]

Comparing like terms on both sides, we find:

[tex]{2}^{(2x - 3)}= {2}^{3}\: \: or \:\:{5}^{(x - 1)} = {5}^{2} [/tex]

[tex]\implies \:2x - 3 = 3 \: \: or \: \:x - 1 = 2 \\ \\ \implies \:2x = 3 + 3 \: \: or \: \: x = 1 + 2\\ \\ \implies \:2x = 6 \: \: or \: \: x = 3 \\ \\ \implies \:x = \frac{6}{3} \: \: or \: \: x = 3 \\ \\ \implies \:x = 3 \: \: or \: \: x = 3 \\ \\ \implies \huge \:x = 3 [/tex]

Answer:

2/6 or 1/3

Step-by-step explanation:

If it was a average 6 sided cube then 1/3 of the numbers are 3 and one.

Answer:

D) -22 < 25

Step-by-step explanation:

If the number is 47 units to the right, then the number will be larger than -22, because negative values get larger the closer they are to zero.

47 units right from -22 is the same as: -22 + 47, which equals 25.

So, we can conclude that -22 < 25 is the inequality.

hope this helps!

[tex] - 6 - 2[/tex]

[tex] = - 4[/tex]

commutative property.

[tex] 19 - 2[/tex]

[tex] = 17[/tex]

commutative property.

[tex] - 7 - 2[/tex]

[tex] = - 9[/tex]

closure property.

The ship movement is an illustration of distance and bearing

The ship is 31.97 miles from its point of departure

The given parameters are:

See attachment for the image of the above parameters

The distance (x) from the point of departure is then calculated using the following cosine function

a^2 = b^2 + c^2 - 2bc * cos(Ф)

So, we have:

x^2 = 40^2 + 70^2 - 2 * 40 * 70 * cos(12)

Evaluate the exponent and the product

x^2 = 6500 - 5477.63

Evaluate the difference

x^2 = 1022.37

Evaluate the exponent

x = 31.97

Hence, the ship is 31.97 miles from its point of departure

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Answer:

The fully factored form of the function f(x) is : (x+5)(x-1)(x-3)

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

15/10=1.5

8 times 1.5=12

Answer:

7 1/4 inches

Step-by-step explanation:

Combining 2 and 5 inches, we get 7 inches.

Combining 7 inches and 1/4 inches, we get 7 1/4 inches.

Answer: 7.25 inches

2+5= 7 inches

1/4=0.25

7+0.25 = 7.25 inches :)

Answer:

f(0) = 1

Step-by-step explanation:

when x = 0 then 0 ≤ x < 2 at x = 0 then f(0) = 1

Answer:

2512

Step-by-step explanation:

Formula=πr^2/2

(3.14×40×40)/2

=2512

Answer:

i pretty sure its   6

                       8x

Step-by-step explanation:

i did the research

Here

Common part is 8 and x⁶

Now

Factor out

GCF=8x⁶

Answer:

Step-by-step explanation:

Remark

What you want to do is get r on one side of the equal sign and everything else on the other.

Givens

V = pi r^2 h

Solution

Divide by pi

V/pi = pi r^2 h/pi

V/p = r^2 * h

Divide by h

V / h pi = r^2 h / h              Cancel h on the right side. Turn equation around

r^2 =  V / h pi

Take the square root of both sides

√r^2 = √(V / h pi )

r = √ (V / h pi)

Answer r =√ (V / h pi)

Answer:

on the math and reading test, 240 (reading) and 250 (math) are typical top scores.

Step-by-step explanation:

Answer:

I know im late but the answer is 275 I just took the test on k-12

Step-by-step explanation:

Answer:

v = 3,463,118,874

Step-by-step explanation:

2214 * 225 = 498,510

diameter = 498,510

v = pi(d) * h

v = 3.14(498,510) * 2214

v = 1,564,191 * 2214

v = 3,463,118,874

Answer:

72.80= 70(x)^1

x^1 is still x, so leave it at 72.8= 70x
divide 70 from both sides to leave x by itself

x= 1.04
4% interest is payed annually.

Hence, the simple percent interest per year is [tex]4[/tex]%.

What is the simple percent interest?

Simple interest is a quick way of calculating interest. Simple interest is worked out by calculating the percentage amount and multiplying it by the number of periods that the money will be invested for.

Here given that,

Sophia invests money in an account paying simple interest. She invests $[tex]70[/tex] and no money is added or removed from the investment. After one year, she has $[tex]72.80[/tex].

So,

[tex]70x=72.80\\\\x=\frac{72.80}{70}\\\\x=1.04[/tex]

which is [tex]4[/tex]% interest is payed annually.

Hence, the simple percent interest per year is [tex]4[/tex]%.

To know more about the simple percent interest

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Answer:

it us 67%

Step-by-step explanation:

:))))))) good luck

Answer:

k = ±√3

Step-by-step explanation:

Given :

To find the value of k, we need to equate both the functions to find the value of x such that it is equal to the value of k.

We already set a relation before, which is :

Using the relation between velocity, distance and time, it is found that the bus traveled at a rate of 40 miles per hour.

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

The taxi took 18 minutes(60 miles per hour = 1 mile per minute), while he waited for 15 minutes at the station. Thus, the 178-mile bus trip took 4 hours and 27 minutes, so t is given by:

[tex]t = 4 + \frac{27}{60} = 4.45[/tex]

Hence, the velocity is given by:

[tex]v = \frac{d}{t} = \frac{178}{4.45} = 40[/tex]

The bus traveled at a rate of 40 miles per hour.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

Answer:

a=27%

Step-by-step explanation:

-lukelaws

tell me if it helped

Answer:

A

Step-by-step explanation:

Equals 27 percent

I took the test and go it right

Answer:

1.8 kg

...............

Answer:

1.8 kg

Step-by-step explanation:

please note the " / " symbol means "divided by"

9 / 25 of 5

to work this out, we first do 5 / 25 and then the answer x 9

so 5 / 25 = 0.2

0.2 x 9 = 1.8

1.8kg or 1,800g

Hope this makes sense. If you need further explanation, let me know!

- profparis

If I helped you, a brainliest would be appreciated :D