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guapka [62]
3 years ago
14

Miguel is going for a walk. he takes 3 hours to walk 7.5 miles. what is his speed?

Mathematics
2 answers:
daser333 [38]3 years ago
7 0
We have a ratio of 3 hours / 7.5 miles
We want to know how many miles he can walk in 1 hour so, divide both sides by 3 -> 1 hour / 2.5 miles
He is walking at 2.5 mph
Mademuasel [1]3 years ago
5 0

divide total distance by time

7.5 miles / 3 hours = 2.5 miles per hour is his speed

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Can you help me find the volume base area latera area and total area please to this problem
krek1111 [17]

Answer:

BA = 25π,

LA = 25√2π,

TA = 25π + 25√2π,

V = 41 and 2 / 3π

Step-by-step explanation:

We need to determine the height here, as it is not given, and is quite important to us. The height is a perpendicular line segment to the radius, hence forming a 45 - 45 - 90 degree triangle as you can see. Therefore, by " Converse to Base Angles Theorem " the height should be equal in length to the radius,

( Height = 5 inches = Radius

______

Now knowing the height, let's begin by calculating the base area. By it's name, we have to find the area of the base. As it is a circle, let us apply the formula " πr^2 "

\pi r^2\\= \pi ( 5 )^2\\= 25\pi - Base Area = 25π

______

The lateral area is simply the surface area excluding the base area, the surface area having a formula of " πr^2 + πrl. " Thus, the lateral area can be calculated through the formula " πrl, " but as we are not given the slant height ( l ) we have to use another formula, l= \sqrt{r^2+h^2} -

\pi r( \sqrt{r^2+h^2} )\\= \pi( 5 )( \sqrt{5^2 + 5^2} )\\= 25\sqrt{2} \pi- Lateral Area = 25√2π

______

And the surface area is the base area + lateral area -

25\pi + 25\sqrt{2} \pi - Surface Area

______

The volume of a cone is 1 / 3rd that of a cylinder, with a simple formula of Base * height. Therefore, we can conclude the following -

1 / 3( 25\pi )( 5 )\\= 25 / 3( 5 )( \pi )\\= 41 \frac{2}{3}\pi- Volume = 41 and 2 / 3π

8 0
3 years ago
The following histogram shows the relative frequencies of the heights, recorded to the nearest inch, of a population of women. T
Airida [17]

Answer:

The following histogram shows the relative frequencies of the height recorded to the nearest inch of population of women the mean of the population is 64.97 inches and the standard deviation is 2.66 inches

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

Answer:

0.22268

Step-by-step explanation:

z-score is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

At least means equal to or greater than 67 inches

z = 67 - 64.97/2.66

z = 0.76316

P-value from Z-Table:

P(x<67) = 0.77732

P(x>67) = 1 - P(x<67) = 0.22268

The probability that the selected woman will have a height of at least 67 inches is 0.22268

Step-by-step explanation:

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Which line has an equation of Y= -5x+4 in slope-intercept form?
Delvig [45]

Answer:

The line passing through the points (2, -14) and (4, -24)

Step-by-step explanation:

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It it 270 degrees for the shaded part of it
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