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Nimfa-mama [501]
3 years ago
7

A rectangular prism is 5 inches wide and 7 inches high. Its volume is 70 cubic inches. What is the length of the rectangular pri

sm?
Mathematics
1 answer:
liberstina [14]3 years ago
8 0

Answer: The length of the rectangular prism is 2 inches long

Step-by-step explanation:

The volume of a rectangular prims is its height multiplied by its width multiplied by its length

h×w×l=70

We can sub in the known values of width and height and simplify

5×7×l=70

35l=70

Finally, divide both sides by 35 to isolate l

\frac{35l}{35} =\frac{70}{35} \\l=2

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The sum of four consecutive odd numbers is 48?
zhannawk [14.2K]

Answer:

The numbers are 9 + 11 + 13 + 15.

Step-by-step explanation: The equation for this is simple.

Take x as the smallest number of the 4 numbers. The second number would be x +2, third number is x+4, and the fourth number is x+6. you add these together, and you get: 4x +12 = 48, you then solve this as a linear equation. 48-12 = 36. Then you divide by 4, which gives you 9 as the smallest number of the 4 numbers. Remember that the second number is  9+2=11, third is 9+4=13, and the fourth is 9+6=15. If you add these together you get 9+11+13+15=48.

4 0
3 years ago
A homeowner has two rectangular structures in her backyard. The dimensions of the hot tub are 6 feet by 8 feet. The dimensions o
vladimir1956 [14]

Answer:

289\ ft^{2}

Step-by-step explanation:

we know that

To find the area of the backyard that is not covered  by the hot tub and fire pit subtract the area of the hot tub and the area of the fire pit from the total area of the square backyard

so

A=20^{2}-(6)(8)-(7)(9)\\A=400-48-63\\ \\A=289\ ft^{2}

4 0
3 years ago
Please help me solve for x in the following magic square...<br>​
o-na [289]

Answer:

x = 1/2

Step-by-step explanation:

The sum of numbers in all rows, columns and diagonals have to be the same.

Notice the diagonals do not have an x so let's sum those numbers to see what the sum for all must be.

-2+(1/2) +3 = (-4+1+6)/2 = 3/2

-5+(1/2)+6 = (-10+1+12)/2 = 3/2

Now we can pick the first row and sum the numbers up knowing that the result should be 3/2, will find x

-2+x-3+6 = 3/2, combine like terms

         x+1 = 3/2 , subtract 1 from both sides

            x = (3/2)-1, find common denominator and subtract

            x = (3-2)/2, combine like terms

            x = 1/2

Check or work:

Rows from top to down

-2 +(1/2) -3 +6 = (-4+1-6+12)/2 = 3/2✅

17*(1/2) +(1/2) +(1/2)-8 = (17+1+1-16)/2 = 3/2✅

-5+(9/2) -2(1/2) +3 = (-10+9-2+6)/2 = 3/2✅

Columns from left to right

-2+17(1/2)-5 = (-4+17-10)/2 =3/2✅

(1/2)-3+(1/2)+(9/2)-2(1/2) = (1-6+1+9-2)/2 = 3/2✅

6+(1/2)-8+3 = (12+1-16+6)/2 = 3/2✅

Diagonals

-2+(1/2) +3 = (-4+1+6)/2 = 3/2✅

-5+(1/2)+6 = (-10+1+12)/2 = 3/2✅

3 0
2 years ago
PLEASE HELP !! ILL GIVE BRAINLIEST !!
ch4aika [34]

Answer:

2 and 7

6 and 3

Hope it helps you....

8 0
3 years ago
Find two numbers such that the sum of their squares is 100. The square of the larger number is equal to the sum of the product o
Shtirlitz [24]

Answer with Step-by-step explanation:

Let x and y are two  numbers

According to question

x^2+y^2=100....(1)

Suppose x is larger than y

x^2=x(4y+8x)

x=4y+8x

x-8x=4y

-7x=4y

y=-\frac{7}{4}x

Substitute the value of y

x^2+(-\frac{7}{4}x)^2=100

x^2+\frac{49}{16}x^2=100

\frac{16x^2+49x^2}{16}=100

\frac{65}{16}x^2=100

x^2=\frac{16\times 100}{65}

x=\sqrt{\frac{1600}{65}}=\frac{40}{\sqrt{65}}=\frac{40}{65}\sqrt{65}=\frac{8}{13}\sqrt{65}

y=-\frac{7}{4}\times \frac{8}{13}\sqrt{65}=-\frac{14}{13}\sqrt{65}

3 0
3 years ago
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