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3 years ago

Find the volume and show work (round to the tenths)

Mathematics

2 answers:

Pani-rosa [81]3 years ago

6 0

Answer:

120 km^3

Step-by-step explanation:

the base is a right triangle

A = (leg1 x leg2)/2 = (6 x 8)/2 = 24 km^2

the volume of a prism is base area x height

V = 24 x 5 = 120 km^3

Schach [20]3 years ago

3 0

Answer:

2000

Step-by-step explanation:

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Chen writes down a two digit number. He finds out that if he swapped the numbers, it would be three more than the 1/3 of the ori

inna [77]

Answer:

Step-by-step explanation:

From the information given,

Let the two digits that Chen writes down to be p and q

where,

q will be in the unit place and p will be in the tens place.

So, the value of the digit = 10p + q

So, if he swapped the number, he will have 10q + p

However,

the new number determined is thrice more than the 1/3 pf the original number.

i.e

the 1/3rd of the original number = $\dfrac{1}{3}(10p+q)$

= $\dfrac{10p+q}{3}$

thrice more than that will be = $\dfrac{10p+q}{3} + 3$

∴

$\dfrac{10p+q}{3} + 3 = 10q+p$

multiply through by 3, we have :

10p+q + 9 = 30q + 3p

collecting the like terms, we have:

10p - 3p +q -30q +9 = 0

7p - 29q +9 = 0

7p - 29q = -9

Therefore, p,q lie between 0 and 9

Therefore, the possibility of the original number is p = 7 and q = 2

8 0

4 years ago

Can't get this one. Anyone know how to do it?

avanturin [10]

Function g takes 4 as input and return 2 as output
f takes input 2 and returns output 4
from the graph
g(4)=2
f(2)=4

7 0

3 years ago

Me ajudem com a 3º questão

Alisiya [41]

I can't read that language but I'll guess it says write a second degree equation then solve for n when d=10.

$10 = \dfrac{n(n-3)}{2}$

$20 = n^2 - 3n$

$n^2 - 3n - 20 = 0$

Answer: n² - 3n - 20 = 0

That doesn't factor so there is no integer n solution.

That means there are no polygons with 10 diagonals.

$n = \frac 1 2(3 \pm \sqrt{89})$

7 0

3 years ago

The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find th

Aneli [31]

Answer:

The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.

A. f(x) = 5 + x; $111.05

B. f(x) = 0.05x; $5.50

C. f(x) = x � 5; $108.95

D. f(x) =1.05x; $115.50

total cost = (price) + (5% of price)

f(x) = x + 0.05x

f(x) = 1.05x

So the function is f(x) = 1.05x

Plug in x = 110 to get

f(x) = 1.05x

f(110) = 1.05*110

f(110) = 115.50

The item costs $115.50 (after tax is added on)

Step-by-step explanation:

1: the total cost of a CD player would be 104.76

2: Total Cost = (price) + (5% of price)

f(x) = x + 0.05x

f(x) = 1.05x

So the function is f(x) = 1.05x

Plug in x = 110 into the function

f(110) = 1.05*110

f(110) = 115.50

The item costs $115.50

3: Answer:

f(x) = .05x; $5.50

Step-by-step explanation:

f(x) = .05x

f(110) = .05(110) = $5.50

7 0

3 years ago

One week, Gabriel bought 2 bags of beans and 3 bags of rice. The next week, he bought 4 bags of beans and 1 bag of rice. Let b r

Leni [432]

Answer:

Step-by-step explanation:

6b+4r

8 0

3 years ago

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