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vekshin1
3 years ago
14

Find the surface area

Mathematics
1 answer:
raketka [301]3 years ago
8 0

Answer:

Total surface area = 217 cm²

Step-by-step explanation:

Area of Triangle = 1/2*b*h

Area of Triangle = 1/2 * 7 * 12 = 42 cm²

There are four triangular surfaces in the prism = 4 * 42 = 168 cm²

Area of the base square = S² = 7 x 7 = 49 cm²

Total surface area = Area of the base square + Area of 4 triangular surfaces

Total surface area = 49 cm² + 168 cm²

Total surface area = 217 cm²

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In brianna's homeroom class, 9% of the students were born in march and 40% of the students have a blood type of o+.
Firlakuza [10]

Answer:

3.6%

Step-by-step explanation:

Because the two events are independent, their probabilities are multiplied, so the probability of a student being born in March and having a blood type of O+ is 9% * 40% = 0.09 * 0.40 = 0.036 = 3.6%

3 0
1 year ago
The spending limit on John's credit card is given by the function f(t) = 15,000 + 1.57, where x is his monthly income. 1-13) $60
coldgirl [10]
1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"

means that if the monthly income of John is $ 5,000 ,he can spend at most

f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)

Or for example

if Johns monthly income is $8,000, then he can spend at most

f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)


2.
Now, assume that the maximum amount that John can spend is y.

Then, y=15,000+1.5x

we can express x, the monthly income, in terms of y by isolating x:

y=15,000+1.5x

1.5x = y-15,000
X=y-15,000/1.5

thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:

G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.

3.

If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000

dollars.


Answer: $ 30,000

Remark: g is called the inverse function of f, since it undoes what f does.

instead of g(x), we could use the notation
5 0
3 years ago
What’s the correct answer for this? Select all the ones that apply
NNADVOKAT [17]

Answer:

C and E

Step-by-step explanation:

ANP = BNP = 90 WILL PROVE THAT CD IS PERPENDICULAR TO AB.

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3 years ago
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An antique collector wants to know the age of a particular chair in a shop
Nataly_w [17]
Well you gotta ask the chair politely, "how old are you chair?" 
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3 years ago
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If f(x)=x^1/2 and g(x)=2x^3-x^1/2, find f(x)-g(x)... HELP ITS URGENT
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F(x) - g(x) =
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2x^1/2 - 2x^3
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