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serious [3.7K]
3 years ago
13

the ball used in a soccer game may not weigh more than 16 ounces or less than 14 ounces at the start of the match.

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
4 0
The ball weighs 15 ounces.
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The ornament below is composed of two congruent square pyramids. Each square pyramid has base side lengths of 2 inches and a hei
kondor19780726 [428]

Answer:

The volume of the ornament is 6\frac{2}{3}\ in^{3}

Step-by-step explanation:

we know that

The volume of the ornament is equal to the sum of  the volume of the two congruent square pyramids

so

V=2[\frac{1}{3}b^{2} h]

we have

b=2\ in

h=2.5\ in

substitute

V=2[\frac{1}{3}(2)^{2} (2.5)]

V=\frac{20}{3}\ in^{3}

Convert to mixed number

\frac{20}{3}=\frac{18}{3}+\frac{2}{3}=6\frac{2}{3}\ in^{3}

5 0
3 years ago
Please help quick! Will mark brainliest
Ksju [112]
Area of a triangle is,

a = \frac{1}{2} ( bh)

Substitute the numbers,

210 = \frac{1}{2} (35 \times x)

x = 12

The above number is the base.

Using the pythagorean method let's calculate for "c" the hypotenuse.

c = \sqrt{ {a}^{2} + {b}^{2} }

Substitute

c = \sqrt{ {35}^{2} + {12}^{2} }

Solve,

c = \sqrt{1225 + 144}

Simplify,

c = \sqrt{1369}

Calculate one last time,

c = {37}

The hypotenuse is 37 inches.
3 0
3 years ago
What is the equation of the parabola, in vertex form, with focus at (1, -4) and<br> directrix x= 3?
Nezavi [6.7K]

Answer:

  D.  (y +4)² = -4(x -2)

Step-by-step explanation:

The directrix is a vertical line, and the focus is to the left of it. The parabola will open to the left.

The vertex is halfway between the focus and directrix, so is located on the same horizontal line as the focus, at ...

  x = (1 +3)/2 = 2

The focus to vertex distance is the difference in x-coordinates: 1 -2 = -1. This is the value of p in the form ...

  (y -k)² = 4p(x -h) . . . . . . . parabola with vertex (h, k)

The equation is ...

  (y +4)² = -4(x -2)

_____

<em>Additional comment</em>

Once you determine that the directrix is a vertical line, you know the equation will have a y² term. The only answer choice that has that is D.

5 0
3 years ago
Find the radius of the circle whose equation is x² + y² = 4.
Gekata [30.6K]

Answer:

Radius : 2

Step-by-step explanation:

Rewrite in standard form to find the radius.

Hope this helps,

Davinia.

6 0
3 years ago
Jake began the day with 88 dollars in his wallet. Then he deposited some money into the bank from what was in his wallet. After
Arada [10]

Answer:

If you're asking how much he deposited at the bank the answer would be 65.

Explanation:

88 - 23 = 65

7 0
3 years ago
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