Ask question

Ask question

All categories

3 years ago

6

A circular go-kart track has a diameter of 75 meters. Approximately how long is the track? A225 meters B100 meters C750 meters D

500 meters

1 answer:

worty [1.4K]3 years ago

8 0

Answer:

<h2> 235 meters</h2>

Step-by-step explanation:

This problem is on the mensuration of flat shapes, a circular shape.

the problem also requires that we find the perimeter of the circular track

the expression for the perimeter of a circle is given as

$C= 2\pi r$

Given

diameter of the circular track = 75 meters

radius of circular track = d/2 = 75/2= 37.5 meters

Substituting our data into the expression for perimeter we have

$C= 2*3.142 *37.5\\\\C= 235.65$

<em>Approximately the length is 235 meters.</em>

You might be interested in

What is the surface area of the prism?

Sever21 [200]

Answer:

Question 3: 582 ft²

Question 4: 348 in²

Step-by-step Explanation:

Question 3:

Consider the solid shape given as being consisting of two rectangular prism. With careful examination, you'd observe that the offer one beneath has dimensions, $l, w, h, as 15, 4, 9$

The second one has $l, w, h, as 6, 4, 6$

Surface area of the bigger rectangular prism = total surface area - area of the surface that is joined to the smaller rectangular prism.

Area of the face joined to the smaller rectangular prism = 4*6 = 24 ft²

Surface area of the bigger rectangular prism = $2(wl + hl + hw) - 24$

$2(4*15 + 9*15 + 9*4) - 24$

$462 - 24$

Surface area of the bigger rectangular prism = 438 ft²

Surface area of the smaller rectangular prism = total surface area of rectangular prism - area of the surface that is joined to the bigger rectangular prism.

= $2(wl + hl + hw) - 24$

$= 2(4*6 + 6*6 + 6*4) - 24$

$= 168 - 24 = 144 ft^2$

<em><u>Surface area of the solid = 438 + 144 = 582 ft²</u></em>

Question 4:

Surface area of the triangular prism is given as: 2(B.A) + P*L

Where,

B.A = area of 1 triangular base = ½*height of the triangle*base of the traingle

B.A = ½*6*16 = 3*16 = 48 in²

P = perimeter of 1 triangular base = sum of all sides of the triangle.

P = 16+10+10 = 36 in

L = length or height of prism =

Plug in the values to find surface area of the prism

Surface area = 2(B.A) + P*L

= 2(48) + 36*7 = 96 + 252 = 348 in²

<em><u>Surface area of prism = 348 in²</u></em>

4 0

3 years ago

PLEASE HELPPPPP PLEAAASEE

nata0808 [166]

Answer:

11%

Step-by-step explanation:

The full circle graph represents 100% of the given population. All populations are given except for "three or more." Adding all percentages of each population should add up to 100%.

No absences (none): 23%

One absence: 45%

Two absences: 21%

Three more absences: unknown.

Let the variable x represent the unknown population.

23% + 45% + 21% + x = 100%

Combine like terms.

89% + x = 100%

Subtract 89% from both sides.

x = 11%

To put it more simply, subtract all the percentages from 100% to get the percent of the missing population. 100 - 23 - 45 - 21 = 11

7 0

3 years ago

Read 2 more answers

A line with a slope of 5 passes through the points 6, 6) and (6, 1). What is the value of j?

irakobra [83]

Answer:

Your question cannot be correct

Step-by-step explanation:

A line passing through points (6,6) and (6,1) cannot have a slope of 5.

This line passing through these two points would be a vertical line. The slope of a vertical line is considered UNDEFINED.

7 0

3 years ago

Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents. two to

Lubov Fominskaja [6]

Answer:

The answer is " $\sqrt[8]{2^5}$ ".

Step-by-step explanation:

Given value:

$\to \frac{2 \frac{7}{8}}{2 \frac{1}{4}}$

They understand that, by using algebraic expressions laws, they subtract that inverse whenever we subtract powers with the same base. Every exponent's core is 2, therefore we subtract:

$\to \frac{7}{8} - \frac{1}{4}$

They have a shared denominator. It's least that is equally divided

among 8 or 2 is 8:

$\to \frac{7}{8} - \frac{2}{8}\\$

$\to \frac{7-2}{8}\\\\\to \frac{5}{8}\\\\$

This gives us:

$\to 2 \frac{5}{8}$

As rational notation is written as extremists, that root was its denominator as well as the power seems to be the numerator.

Which means 8 is the root and 5 the force that gives us:

$\sqrt[8]{2^5}$

7 0

3 years ago

A well known pharmaceutical manufacturer is manufacturing a newly developed vaccine, and is concerned about variability in the i

Lana71 [14]

Answer:

a

The null hypothesis is $H_o : \ \sigma^2 = 1.9$

The alternative hypothesis is $H_a : \ \sigma^2 \ne 1.9$

b

$X^2 = 13.74$

c

The decision rule is

Reject the null hypothesis

d

The conclusion is

There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.

Step-by-step explanation:

From the question we are are told that

The variance is $\sigma ^2 = 1.9$

The sample size is n = 30

The sample variance is $s^2 = 0.9$

The level of significance is $\alpha = 0.05$

The null hypothesis is $H_o : \ \sigma^2 = 1.9$

The alternative hypothesis is $H_a : \ \sigma^2 \ne 1.9$

Generally the test statistics is mathematically represented as

$X^2 = \frac{ (n- 1 ) * s^2 }{ \sigma^2 }$

=> $X^2 = \frac{ (30 - 1 ) * 0.9 }{1.9 }$

=> $X^2 = 13.74$

Generally from the degree of freedom is mathematically represented as

$df = n- 1$

=> $df = 30 - 1$

=> $df = 29$

Generally from the chi distribution table the critical value of $\frac{\alpha}{2} \ and \ 1 - \frac{ \alpha }{2}$ at a degree of freedom of $df = 29$ is

$X^2 _{ \frac{\alpha }{2} , df } = X^2 _{ \frac{0.05 }{2} , 29 } = 45.7$

=> $X^2 _{ 1 - \frac{\alpha }{2} , df } = X^2 _{1 - \frac{0.05 }{2} , 29 } = 16.0 5$

Gnerally from the values obtained we see that

$X^2 < X^2 _{ 1 - \frac{\alpha }{2} , df }$ hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.

6 0

3 years ago