answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Deffense [45]
2 years ago
8

Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 \text{ m}2.8 m2, point, 8, start text, space,

m, end text, and the tire revolves 1.51.51, point, 5 times per second. What is the distance Benjamin travels in 100100100 seconds
Mathematics
2 answers:
Karo-lina-s [1.5K]2 years ago
8 0

Answer:

420 meters

Step-by-step explanation:

Q. Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 m, and the tire revolves 1.5 times per second. What is the distance Benjamin travels in 100 seconds?

<u>Given</u>:

Circumference of circular tire = 2.8 meters

Tire revolves per second = 1.5 times

<u>Question asked:</u>

What is the distance Benjamin travels in 100 seconds?

<u>Solution:</u>

Circumference of circular tire means distance covered by the unicycle's tire when it revolves 1 time that is 2.8 meters.

<em><u>Now, by unitary method:</u></em>

In 1 second, tire revolves = 1.5 times

In 100 seconds, tire revolves =  1.5 \times 100

                                                = 150 times

Distance covered by the tire when it revolves 1 time = 2.8 m

Distance covered by the tire when it revolves 150 times = 2.8 \times 150

                                                                                             = 420 meters

Therefore, Benjamin travels 420 meters in 100 seconds.

saveliy_v [14]2 years ago
7 0

Answer:

420 meters

Step-by-step explanation:

Q. Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 m, and the tire revolves 1.5 times per second. What is the distance Benjamin travels in 100 seconds?

Given:

Circumference of circular tire = 2.8 meters

Tire revolves per second = 1.5 times

Question asked:

What is the distance Benjamin travels in 100 seconds?

Solution:

Circumference of circular tire means distance covered by the unicycle's tire when it revolves 1 time that is 2.8 meters.

Now, by unitary method:

In 1 second, tire revolves = 1.5 times

In 100 seconds, tire revolves =  1.5  100

                                               = 150 times

Distance covered by the tire when it revolves 1 time = 2.8 m

Distance covered by the tire when it revolves 150 times = 2.8  150

                                                                                            = 420 meters

Therefore, Benjamin travels 420 meters in 100 seconds.

You might be interested in
In the diagram, the measurements that are labeled are known, while the other measurements are unknown. Which measurement of acut
andrew-mc [135]
As the sine rule states,

A/sina = B/sinb = C/sinc .

in the diagram, there are two identified sides and if you use the sine rule, you can find the opposed angles easily.

there are:

side a, with angle â .
side b, with angle b.

so the answer is C.

if you input these into the sine rule, it would be:

a/ sin a = b/sin b
8 0
2 years ago
Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function f(x) = -1
Ludmilka [50]
The zeros are the values of t for which f(t) = 0.
i.e. <span>-16t^2 + 96t = 0
16</span>t^2 - 96t = 16t(t - 6)
16t = 0 or t - 6 = 0
t = 0 or t = 6
Therefore, the zeros are 0, 6

The time taken for the ball to hit the ground is the value of t when f(t) = 0.
i.e. t = 6.
3 0
2 years ago
A student is deriving the quadratic formula. Her first two steps are shown. Step 1: –c = ax2 + bx Step 2: -c = a[x^2+b/ax] Which
marta [7]

Given choices:

(1) division property of equality

(2) factoring the binomial

(3)completing the square

(4)subtraction property of equality

Answer : (2) factoring the binomial

Step 1: -c = ax^2 + bx

Step 2:-c = a[x^2+\frac{b}{a} x]

In step 2, 'a' is taken out from ax^2 + bx. when we take out 'a' we divide each term by 'a'. so it becomes a[x^2+\frac{b}{a} x]

'a' is factored out in step 2. we call it as factoring a binomial.



6 0
2 years ago
Read 2 more answers
For a continuous random variable x, the probability density function f(x) represents
jarptica [38.1K]

Answer:

Option d.

Step-by-step explanation:

we know that

The graph of a continuous probability distribution is a curve. Probability is represented by area under the curve.

The curve is called the probability density function (abbreviated as pdf).

We use the symbol f(x) to represent the curve

therefore

The probability density function f(x) represents . the height of the function at  x.

7 0
2 years ago
There are four activities on the critical path, and they have standard deviations of 1, 2, 4, and 2. what is the probability tha
Anit [1.1K]

Standard deviations of the four activities of the critical path are 1,2,4,2.

Standard deviation of this critical path = Sum of square root of variance of this corresponding critical path

Standard deviation of critical path =\sqrt{1^2+2^2+4^2+2^2}

=\sqrt{1+4+16+4}

=\sqrt{25}

=5

Now we need to find the probability that the project will completed in 38 weeks given that its expected completion time is 40 weeks.

That is, we need to find P(X<38) :

z=\frac{38-40}{5}= \frac{-2}{5}=-0.4

P(X

Probability =0.5-0.16=0.34

Thus the probability that the project will be completed in 38 weeks is 0.34.

8 0
2 years ago
Read 2 more answers
Other questions:
  • Todd had 6 gallons of gasoline in his motorbike. After driving 150​ miles, he had 3 gallons left. Compute the​ slope, or rate of
    9·2 answers
  • How to derive the formula for the surface area of a cylinder?
    13·1 answer
  • A video game randomly chooses your car color and type. The probability of getting a red car is 0.20, and the probability of gett
    10·1 answer
  • Kenny ordered guitar strings for Glenn’s Guitar Shop. The premium guitar strings are $4.50 apiece. The standard guitar strings a
    15·2 answers
  • Data on the oxide thickness of semiconductor wafers are as follows: 425, 431, 416, 419, 421, 436, 418, 410, 431, 433, 423, 426,
    8·1 answer
  • Consider the functions below.
    12·1 answer
  • In a study of the effects of acid rain, a random sample of 100 trees from a particular forest is examined. Forty percent of thes
    14·2 answers
  • What is the remainder in the synthetic division problem below?
    9·1 answer
  • Will qamar have enough lacquer to cover the floor below? Please help I have been stuck on this for three days!!!
    14·1 answer
  • Mya applied the distributive property to write the equivalent expressions below
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!