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Anastaziya [24]
3 years ago
12

How do i do this?! Please Help me

Mathematics
1 answer:
Dafna1 [17]3 years ago
5 0

Answer:

The answer to your question is 50 inches

Step-by-step explanation:

Data

Area = 200 in²

diagonal 1 = 8 in

diagonal 2 = ?

Formula

Area = (diagonal 1 x diagonal 2) / 2

Solve for diagonal 2

diagonal 2 = 2 x Area 2 / diagonal 1

-Substitution

diagonal 2 = 2 x 200 / 8

-Simplification

diagonal 2 = 400 / 8

-Result

diagonal 2 = 50 in

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What is the sum of all the whole numbers from 1 to 1000?
Katen [24]

Answer:

So there are 500 pairs of numbers that have a sum of 1001. Thus, the sum of numbers from 1 to 1000 is 500*1001 = 500,500.

Step-by-step explanation:

5 0
3 years ago
cylindrical vase holds 8,038.4 cubic centimeters of water. The height of the vase is 40 centimeters. What is the length of the r
iragen [17]

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

Step-by-step explanation:

The given is,

                 Volume of cylindrical vase = 8038.4 cubic centimeters

                 Height of the cylindrical vase = 40 centimeters

Step:1

                Formula for volume of cylindrical vase,

                                     Volume, V=\pi r^{2} h......................(1)

               Where, r - Radius of cylindrical vase

                           h - Height of cylindrical vase  

                From the given,

                                      V = 8038.4 cubic centimeters

                                      h = 40  centimeters  

                Equation (1) becomes,

                             8038.4 = \pi r^{2}  40

                                          =(3.14)(40)r^{2}                               (∵ \pi = 3.14 )

                               8038.4 = 125.6 r^{2}

                                      r^{2} = \frac{8038.4}{125.6}            

                                       r =\sqrt{64}

                                       r = 8 centimeters

Result:

           The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

7 0
3 years ago
11. Sarah claims that (x - 4) is a factor of p(x) = x2 +8x - 48.Which equation must
velikii [3]

Answer:

d) p(4) = 0.

Step-by-step explanation:

p(4) = 0:-

p(4) = 4^2 + 8(4) - 48

= 16 + 32 - 48

= 0.

This is an application of the Factor Theorem ( a special case of The Remainder Theorem)

The Factor theorem states that if (x - a) is a factor of P(x) then P(a) = 0.

7 0
3 years ago
Find the difference (5a^2+4ab-3b^2)-(-5ab+4b^2+3a^2)
Vesna [10]

Answer:

\boxed{\bold{2a^2+9ab-7b^2}}

Step By Step Explanation:

Remove Parenthesis: (a) = a

\bold{5a^2+4ab-3b^2-\left(-5ab+4b^2+3a^2\right)}

Simplify \bold{-\left(-5ab+4b^2+3a^2\right)}

\bold{5ab-4b^2-3a^2}

Rewrite Equation:

\bold{5a^2+4ab-3b^2+5ab-4b^2-3a^2}

Simplify \bold{5a^2+4ab-3b^2+5ab-4b^2-3a^2}

\bold{2a^2+9ab-7b^2}

- Mordancy

8 0
3 years ago
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Two people at the opposite ends of a bridge see a boat under the bridge
KATRIN_1 [288]
Do they get on it? I don;t understand your question.
5 0
3 years ago
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