What is the volume of three cubes, each with a side length of 1/3 foot? V = s3, where s is the side length.

How many revolutions does a go kart with a wheel circumference of 62.8318 inches make in a 1609 m race? Please answer as quickly

Rudiy27

Answer: 1008 revolutions

Step-by-step explanation:

1 revolution is equal to $2\pi r$

To find how many revolutions the wheel makes, you must divide the distance traveled in the race between the circumference of the wheel

You must first convert 62.8318 in to meters.

We know that 1 inch is 0.0254 meters

Then

$62.8318\ in*\frac{0.0254\ m}{1\ in}= 1.5959\ m$

$revolutions = \frac{1609}{1.5959}\\\\revolutions=1008.21\\$

Finally The wheel made 1008.21 revolutions

3 0

3 years ago

Help

Anika [276]

The answer to your question is D
.5 x 8= 4 pounds
.5 x 10=5 pounds
.5 x 12=6 pounds
.5 x 16=8 pounds

3 0

3 years ago

Read 2 more answers

a week before election day, 276 out of 450 people said they would vote for the republican candidate. if 15,240 registered voters

Ann [662]

Answer:

(a) $\frac {276}{450}=\frac {y}{15240}$

(b) We cross multiply the probability by the total voters

(c) 9347

Step-by-step explanation:

(a)

Probability of getting a republican voter is

$\frac {276}{450}=\frac {138}{225}=\frac {46}{75}$

$\frac {276}{450}=\frac {138}{225}=\frac {46}{75}=\frac {y}{15240}$

These are found by dividing the first numerator and denominator by 2, then by 3

To make it complete, the situation is therefore defined as $\frac {276}{450}=\frac {y}{15240}$ where y is unknown value

(b)

Cross multiplication of the probability and number of voters gives the actual figure of y in the equation formed in part a of the question.

(c)

Since we have 15240 voters who plan to participate in election, we cross multiply to get the approximate number of republican voters which yields

$\frac {46}{75}\times 15240=9347.2\approx 9347$

5 0

3 years ago

A survey given to consumers leaving a supermarket three days before Thanksgiving asked whether turkey would be part of the Thank

timofeeve [1]

Answer:

(0.1392,0.1466)

Step-by-step explanation:

Given that a survey given to consumers leaving a supermarket three days before Thanksgiving asked whether turkey would be part of the Thanksgiving meal

People surveyed = 182

claimed not eating turkey = 26

Sample proportion = $\frac{26}{182} \\=0.1429$

Std error = $\sqrt{\frac{pq}{n} } \\=0.0260$

Margin of error = 1.96*SE= $0.00378$

Confidence interval = $(0.1429-0.0037,0.1429+0.0037)\\=(0.1392,0.1466)$

5 0

3 years ago

What is the value of x?

Nikolay [14]

Answer: 7 centimeters

Explanation:

Let triangle ABC and triangle CDE form a bow tie such that
- triangle ABC is smaller than triangle CDE
- Segment AC and segment CD are the north sides
- Segment BC and segment CE are the bottom sides
- AC = 6, CD = 42, CE = 36, BC = x

Since angle ACB and angle ECD are formed by intersecting segment AE and segment BD at point C, they are vertical angles. (See the attached picture) So, angle ACB and angle ECD are congruent.

Moreover when we form our bowtie, point A is in the north side and point E is in the bottom sides and this implies that angle BAC and angle CED are alternate interior angles as shown in the attached figure.

Since it is given in the problem that alternating interior angle are congruent, angle BAC and angle CED are congruent.

Now, we have the following pairs of angles in triangle ABC and triangle CDE that are congruent:

- angle BAC and angle CED
- angle ACB and angle ECD

By AA Similarity theorem, when we have two pairs of congruent angles for two triangles, then the two triangles are similar. So, triangle ABC and triangle CDE are similar.

In similar triangles, the sides that are opposite to the congruent angles are proportional to each other. So,

$\frac{BC}{CD} = \frac{AC}{CE} 


$ (1)

Since $AC = 6, CD = 42, CE = 36, BC = x$ , we can substitute these values to equation (1). So, equation (1) becomes

$\frac{x}{42} = \frac{6}{36}$
$\frac{x}{42} = \frac{1}{6}$ (2)

SInce we are solving for x, we can multiply both sides of equation (2) by the denominator at the left side which is 42 so that

x = 42(1/6)
x = 7 centimeters

8 0

3 years ago