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Leya [2.2K]
3 years ago
6

Archie builds a pool in his backyard. The pool measures 16 yards long, 6 yards wide and 2 yards deep. How many gallons of water

will it take to fill the pool to the brim? (1 cubic yard = 202 gallons).
Mathematics
1 answer:
Papessa [141]3 years ago
8 0

Answer:

gallons of water = 38784 gallons

Step-by-step explanation:

He builds a pool in his backyard .The pool measures 16 yards long, 6 yards wide and 2 yards deep. The pool is a rectangular prism. The number of gallons it can take to fill the pool can be calculated when we know the volume of the pool. Therefore,

volume of the pool = length × width × height

volume = lwh

l = 16 yards

w = 6 yards

h = 2 yards

volume = 16 × 6 × 2

volume = 192 yards³

1 cubic yards = 202 gallons

192 cubic yards = ?  gallons

cross multiply

gallons of water = 192 × 202

gallons of water = 38784 gallons

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saveliy_v [14]

Answer:

No, According to triangle Inequality theorem.

Step-by-step explanation:

Given:

Length given are 4 in., 5 in., 1 in.

We need to check whether with these lengths we can create triangular components.

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

These must be valid for all three sides.

Hence we will check for all three side,

4 in + 5 in > 1 in. (It is a Valid Condition)

1 in + 5 in > 4 in. (It is a Valid Condition)

4 in + 1 in > 5 in. (It is not a Valid Condition)

Since 2 condition are valid and 1 condition is not we can say;

A triangular component cannot be created with length 4 in, 5 in, and 1 in by using triangle inequality theorem (since all three conditions must be valid).

6 0
3 years ago
Which system of equations can be used to solve for the point of intersection of the lines on the graph? A) y = x - 7; y = 2x + 2
ratelena [41]

Answer:

C) y = 2x + 7; y = 2x + 2

Step-by-step explanation:

The two lines are parallel and so will have the same slope.

From the graph, the slope of both lines are two.

Using slope intercept formula, y=mx+c, with m=2, we have y=2x+c

The blue line has a y-intercept of 2 so the equation is

y = 2x + 2

The red line has a y-intercept of -7 so the equation is

y = 2x - 7

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4 0
3 years ago
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Alona [7]

Answer:

y²/25+x²/4=1

Step-by-step explanation:

The equation for an ellipse is either categorized as

x²/c² + y²/d² = 1 . In such an equation, the vertices on the x axis are categorized by (±c,0) and the vertices on the y axis are (0, ±d)

In the ellipse shown, the vertices/endpoints on the x axis are (-2,0) and (2,0). This means that c is equal to 2. Similarly, on the y axis, the endpoints are (5,0) and (-5,0), so d=5.

Our equation is therefore x²/2²+y²/5²=1 = x²/4+y²/25=1

Our answer is therefore the fourth option, or

y²/25+x²/4=1

5 0
2 years ago
2^-5/2^-6 PLEASE HELP <br> NO LINKS
emmasim [6.3K]
The answer is 1

explanation:
when dividing exponents you have to subtract them, -5 - (-6) is 1.
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5 0
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