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valkas [14]
3 years ago
7

A square garden has an area of 103 square feet. . . . To the nearest tenth, what is the length of one side of the garden?. . A..

51.5 feet. . B.. 25.8 feet. . C.. 10.1 feet. . D.. 7.2 feet.
Mathematics
2 answers:
blsea [12.9K]3 years ago
8 0
A = a^2......Area = a (one side) ^2

103 = a^2.....take the sqrt of both sides, eliminating the ^2
sqrt 103 = a
10.1 ft <==
kogti [31]3 years ago
3 0
A = 103 ft²;
A = l²
l² = 103
l = √ 103 = 10.14889 ≈ 10.1
Answer:  C ) 10.1 feet
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An ice cream shop sells cones at the volume of 94.2 cubic meters they want to double the volume of the cones without changing th
marin [14]
The volume of a cone is V=\pi r^2\frac{h}3 where r = radius and h = height. If the cone has a volume of 94.2 cm³ (I assume you didn't mean m³ because that would be ridiculously huge) and a height of 10 cm, we can plug these values into the formula to find the radius. Don't do any rounding.

94.2 = \pi r^2\frac{10}3 \\ 282.6 = \pi r^2 *10 \\ 28.26 = \pi r^2 \\ 8.99543738355 = r^2 \\ 2.99923946752=r

Now we know that's going to be the radius of our <em>new </em>cone as well since we're keeping the diameter the same. The volume is going to be double 94.2 which is 188.4. Let's solve for the height.

188.4 = \pi (2.99923946752)^2\frac{h}3 \\ 188.4 = \pi(8.99543738355)\frac{h}3 \\ 188.4 = 28.26\frac{h}3 \\ 565.2 = 28.26h \\\\ \boxed{h = 20, r\approx 3}
5 0
3 years ago
Solve 3x – ly= 11 and -2x – 4y=-26 by elimination
Ede4ka [16]

Answer:

(5, 4 )

Step-by-step explanation:

Given the 2 equations

3x - y = 11 → (1)

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Add (2) and (3) term by term to eliminate y

- 14x + 0 = - 70

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Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (1)

3(5) - y = 11

15 - y = 11 ( subtract 15 from both sides )

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y = 4

solution is (5, 4 )

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Solve and state any extraneous solutions
Mice21 [21]

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\frac{3x}{x - 1}  +  \frac{2x - 2}{ x - 1}  =  \frac{3}{x - 1}

\frac{3x + 2x - 2}{ x - 1}  =  \frac{3}{x - 1}

3x + 2x - 2 = 3

5x - 2 = 3

5x = 3 + 2

5x = 5

x =  \frac{5}{5}

x = 1

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Answer:

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