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antiseptic1488 [7]
3 years ago
14

Algebra. Find the values of the variable

Mathematics
1 answer:
aleksklad [387]3 years ago
5 0

You are looking at right angles in the problem. Right angles are 90 degrees.

So set up the problem to solve for X using:

90=4x+12

90-12=4x

78=4x

39/2 or 19.5 = x

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A cylinder and a cone have congruent heights and radii. What is the ratio of the volume of the cone to the volume of the cylinde
n200080 [17]

A cone with the same radius and height as a cylinder will have one-third the volume of the cylinder.

Vcone = (1/3)*π*r^2*h

Vcylinder = π*r^2*h
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3 years ago
The library is purchasing new library books. They have chosen 29 books that each sell for $3.95. How much will all the books cos
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A local petting zoo had a total of 98,464 visitors last year. The zoo was open every day except thanksgiving, Christmas, and New
riadik2000 [5.3K]

Answer:

The average number of visitors per day is 272.

Step-by-step explanation:

Total number of visitors in the zoo in a year =  98,464

Now,we know that  1 YEAR = 365 DAYS

Also, the zoo was closed on thanksgiving, Christmas, and New Year's Eve

So, the Number of days zoo was open = Total Days in  year -  3 days

= 365 - 3 = 362 days

⇒Number of visitors in  362 days =  98,464

So, \textrm{Number of visitor per day} =  \frac{\textrm{Total number of visitors in 352 days}}{\textrm{352 days}}

= \frac{98,464}{362}  = 272

or, the number of people visiting per day is 272.

Hence,  the average number of visitors per day is 272.

8 0
3 years ago
Write an equation for the line passing through the points (-5,15) and (20,25). Show how you found your answer.
olasank [31]

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-5, 15) and (20, 25). substitute:

m=\dfrac{25-15}{20-(-5)}=\dfrac{10}{25}=\dfrac{2}{5}\\\\y-15=\dfrac{2}{5}(x-(-5))\\\\y-15=\dfrac{2}{5}(x+5)\qquad|\text{use distributive property}\\\\y-15=\dfrac{2}{5}x+2\qquad|\text{add 15 from both sides}\\\\y=\dfrac{2}{5}x+17\qquad|\text{multiply both sides by 5}\\\\5y=2x+85\qquad|\text{subtract 2x from both sides}\\\\-2x+5y=85\qquad|\text{change the signs}\\\\2x-5y=-85

Answer:

point-slope form: y-15=\dfrac{2}{5}(x+5)

slope-intercept form: y=\dfrac{2}{5}x+17

standard form: 2x-5y=-85

7 0
4 years ago
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Vedmedyk [2.9K]

Answer:

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Step-by-step explanation:

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