Find the circumference and area of a circle with a diameter of 8 feet. Use 3.14 to approximate the value of
as needed. Include units of measure with proper exponents when applicable.

Answer:

a=900

58

Step-by-step explanation:

How To Slove ur promblem :

12=a

-- --

59. 75

75.12

--

59=75. a

--

75

Answer:

8=w, -8=w  (±8=w)

Step-by-step explanation:

192=\(3w^{2}\)

First, divide by 3

64=w²

now take the square roots of 64 and w² ( we're thinking about which numbers/variables will be multiplied to get 64 and w². They are 8 and w. But wait! -8 can also work, since when you square it a negative number, it will turn positive. )

8=w, -8=w

You can also write it as ±8=w

Hope this helps!

Answer:

Given side BC is congruent with side DC and side AC is congruent with EC, we can prove that triangle BCA is congruent with triangle DCE using the following steps:

Step 1: By using the definition of congruent, we know that if two sides of a triangle are congruent, then the angles opposite to those sides are also congruent. Therefore, angle BCA is congruent to angle DCE, and angle BAC is congruent to angle DEC.

Step 2: Since we have two pairs of congruent angles, we can use the angle-angle similarity postulate to prove that triangle BCA is similar to triangle DCE.

Step 3: Since both of the triangles are similar, we can use the third congruent side AC which is congruent to EC, to prove that the two triangles are congruent.

Step 4: Now, we can use the side-side-side postulate, which states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Therefore, we can conclude that triangle BCA is congruent to triangle DCE.

Proof:

By the definition of congruence, we know:

-BC is congruent to DC

-AC is congruent to EC

By the angle-angle similarity postulate, we know that:

-angle BCA is congruent to angle DCE

-angle BAC is congruent to angle DEC

By the side-side-side postulate, we know that:

-triangle BCA is congruent to triangle DCE

Therefore, we can prove that triangle BCA is congruent to triangle DCE.

Answer:

x = 42.9

Step-by-step explanation:

We can let 34 represent the reference angle.  Using this angle, we see that the side measuring 24 units is the opposite side and the side measuring x is the hypotenuse.

Thus, we can use the sine trig function which is

\(sin(angle)=\frac{opposite}{hypotenuse}\)

We plug in what we have into the equation above and solve for x:

\(sin(34)=\frac{24}{x}\\ x*sin(34)=24\\x=\frac{24}{sin(34)}\\ x=42.9189996\\x=42.9\)

9514 1404 393

Answer:

  1,570,000

Step-by-step explanation:

The sum is approximately ...

  1,260,000 +310,000 = 1,570,000

_____

Additional comment

It is a good idea to estimate the error associated with an estimate. Here, both numbers are rounded up by about 4000 each, so the estimate is around 8000 high.

a)The probability that all 10 will arrive within two days is 0.3486.

b)  P(x = 8) = 0.1937

c)  P(x=5)= 0.0014

d)  mean = 9

e) Standard deviation = √0.90 = 0.9486

The binomial distribution model allows us to compute the probability of observing a specified number of "successes" when the process is repeated a specific number of times and the outcome for a given patient is either a success or a failure.

Given:

p = 90/100 = 0.90

q(probability of success) = 1 - p = 1 - 0.90 = 0.10

n = 10

a)The probability that all 10 will arrive within two days

P(x = 10) = 0.3486

b) P(x = 8) = 0.1937

c) P(x=5)= 0.0014

d) mean = np = 10 × 0.90 = 9

e) Variance = npq = 10 × 0.90 × 0.10 = 0.90

Standard deviation = √0.90 = 0.9486

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The distance between the two other landmarks on the same map is approximately 23 inches.

What is a scale factor?

A scale factor is a measure of the proportional relationship between two similar figures. It is the ratio of any two corresponding lengths in the two figures.

We can set up a proportion to solve this problem:

Distance on map / Actual distance = Scale factor

Let x be the distance between the two other landmarks on the map. We can set up the following proportion:

2 feet 5 inches / 65 miles = x / 52 miles

To solve for x, we first convert 2 feet 5 inches to inches:

2 feet = 24 inches

5 inches = 5 inches

2 feet 5 inches = 24 inches + 5 inches = 29 inches

Substituting the values into the proportion, we get:

29 inches / 65 miles = x / 52 miles

To solve for x, we cross-multiply:

29 inches × 52 miles = 65 miles × x

Simplifying, we get:

x = 29 inches × 52 miles / 65 miles

x = 23.2 inches

Rounding to the nearest inch, we get x ≈ 23 inches.

Therefore, the distance between the two other landmarks on the same map is approximately 23 inches.

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Answer:

7350

Explanation:

3763.2/0.512 can be determined by simply dividing.

Answer:

y=8.94

Step-by-step explanation:

use the formula: a^2+b^2=c^2

64+y^2=144

y=\(\sqrt{80}\)

or y=8.94

Answer:

ok

Step-by-step explanation:

Suus

But Ok

[Sus music]

Answer:

55%

Step-by-step explanation:

He gave 1/5 + 1/4 to his friends which is equal to 9/20 = 45/100 = 45%

The rest he gave to his aunt. (100-45)% = 55%

To answer this question, we have that:

1. There are 1.3 x 10⁵ cells in a petri dish.

2. Each cell is approximately 2.8 x 10^-6 m per cell.

Then, we need to multiply each number as follows:

Therefore, we have that the cells combined are 3.64*10^-1 or

(Option A.)

Answer:

6x9=54

Step-by-step explanation:

6 folders with 9 photos in each = 54 photos all together.

The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.

The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.

The problem has provided the following information:

Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m

We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage

The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;

Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;

Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5

Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.

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Answer:

The point estimate of the proportion of women who trust recommendations made on Pinterest is of 0.78.

Step-by-step explanation:

To find the point estimate of the proportion of women who trust recommendations made on Pinterest, we find the sample proportion.

In this question:

150 women

117 trust recommendations made on Pinterest.

Point estimate:

\(p = \frac{117}{150} = 0.78\)

The point estimate of the proportion of women who trust recommendations made on Pinterest is of 0.78.

Answer:

Subtract to eliminate y

Step-by-step explanation:

it is the easiest to eliminate first since 7y and -7y are opposites.

I'm guessing this is one of those problems where u find both y and x .... but yeah its the 3 option

Answer:

Option 'C i.e. Subtract to eliminate y' is the correct option.

Step-by-step explanation:

Given the system of equations

-6x + 7y = -54

-7x + 7y = -56

The first step we need to do is to subtract to eliminate y, because 7y and -7y will cancel each other.

\(-6x + 7y = -54\)

\(-\)

\(\underline{-7x+7y=-56}\)

x + 0y = 2

x = 2

Therefore, we get x = 2 after we implemented the fist step to subtract to eliminate y.

Hence, option 'C i.e. Subtract to eliminate y' is the correct option.

Answer:

2.24

Explanation:

2.5 - 2.4 / 1.2(0.13) = 2.24

Answer:

a = 3

Step-by-step explanation:

Collect like-terms:

\( - 16 = a - 19\)

\(a = - 16 + 19\)

\(a = 3\)

Answer: 3

Step-by-step explanation: you take 19 from 3 giving you -16

Answer:

Step-by-step explanation:

Huh?

Answer:

Step-by-step explanation:

To solve this question, I have divided the shape into squares and rectangles. Then, I found out the area of each square and rectangle. Lastly, I added up all the areas and found the area of the shape. Please consider looking at the picture uploaded to understand better.

When looking at the picture, we can say that the area is 55 + 120 + 304.

Hence, the area of the shape is 479 yd².

Answer:

  $442.42

Step-by-step explanation:

You want the remaining available credit on a credit line of $500 when charges of $25.25 and $32.33 have been made.

The remaining credit is the original credit amount less the amount of credit used:

  $500 -25.25 -32.33 = $442.42

Cameron has credit of $442.42 available.

Answer:

one container has 18/2 = 9 glasses so 3 will have (9)(3) = 27 glasses

Step-by-step explanation:

Answer:

The answers are b and c

Step-by-step explanation:

East Side is more consistent at winning.

East Side typically wins more debates per year than West Side.

Answer:

B and G

Step-by-step explanation:

f(x) = a|x-h|+k

The number inside the absolute value argument "h" represents the x-value of the vertex. For -1, the number inside has to be +1.

k represents the y-value of the vertex, in this case 3.

The only two expressions that have an h value of 1 and k value of 3 are B and G.

We have shown that C is the image of A by dilation with center B and ratio 3.

Now, To show that C is the image of A by dilation with center B and ratio 3, we need to follow these steps:

Firstly, Find the vector AB by subtracting the coordinates of B from the coordinates of A:

AB = A - B = (6 - 3, 4 - 7) = (3, -3)

Multiply the vector AB by the dilation ratio of 3:

3 AB = 3 (3, -3)  = (9, -9)

Add the resulting vector to the coordinates of the center B:

BC = B + 3 AB = (3, 7) + (9, -9)

BC = (12, -2)

Hence, Compare the resulting point BC to the coordinates of C to show that they are the same:

BC = (12, -2) = C

Therefore, we have shown that C is the image of A by dilation with center B and ratio 3.

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Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

Answer: Harold drove 165.46 more miles in the first week, then he did in the second.

Step-by-step explanation:

This is simple elementary school subtraction. In the first week of the month, he drove 578.25 miles while in the second he only drove 412.79.

You can look up how to do subtraction by hand online, but after calculating the equation:

\(578.25-412.79\), we end up with 165.46.

40 miles will he have after 85 minutes of driving .

Given :

austin is driving to san francisco, suppose that the distance to his destination in miles is a linear function of total driving time. has 67 miles to his destination after 49 minutes of driving . He has 47.5 miles to his destination after 75 minutes of driving .

slope = y2  - y1  / x2 - x1

m = 47.5 - 67 / 75 - 49

= -19.5 / 26

= -3/4

= -0.75

Use the point slope y - y1 = m(x - x1)

y - 67 = -.75 ( x - 49 )

y - 67 = -.75x + 36.75

y = -.75x + 36.75 + 67

y = -.75x + 103.75

x = 85

y = -.75(85) + 103.75

y = -63.75 + 103.75

y = 40 miles  

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Full question :

austin is driving to san francisco, suppose that the distance to his destnation in miles is a linear function of total driving time  has 67 miles to his destination after 49 minutes of driving . He has 47.5 miles to his destination after 75 minutes of driving . How many miles will he have after 85 minutes of driving ?