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3 years ago

Find the value of the expression 3m^2+2p^2-15 when m =3 and p = 10

1 answer:

5 0

$3m {}^{2} + {2p}^{2} - 15$
m = 3
p = 10

$3 \times 3 {}^{2} + 2 \times {10}^{2} - 15 =$
$3 \times 9 + 2 \times 100 - 15 =$
$27 + 200 - 15 =$
$212$

Hence, the answer is 212.

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A homeowner plans to enclose a 200 square foot rectangular playground in his garden, with one side along the boundary of his pro

tigry1 [53]

Answer:

The dimensions are 50 and 100 square foot

Step-by-step explanation:

Let x = length of fenced side parallel to the side that borders the playground

y = length of each of the other two fenced sides

Then, x + 2y = 200

<=> x = 200-2y

The Area = xy = y(200-2y)

The dimensions of the playground that will minimize the homeowner's total cost for materials when the area of the playground is maximum. He can cover more area but with the same cost.

The graph of the area function is a parabola opening downward.

The maximum area occurs when y = -200/[2(-2)] = 50

=> x = 100

So the dimensions are 50 and 100 square foot

6 0

3 years ago

Sally’s father baked 8 cookies. Sally and 4 friends (5 people total) decide to share the cookies equally. How much will each per

MariettaO [177]

Each person will get 1.6 parts of the cookies or 1 3/5 cookie.
You do 8/5=1.6

6 0

3 years ago

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Travka [436]

Answer:

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Step-by-step explanation:

4 0

2 years ago

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1. The backdrop of the altar in a church is triangular in shape. It has a base of 10.5 meters

FrozenT [24]

Answer:

Area of triangle backdrop:

A = 1/2bh = 1/2(10.5)(8.5) = 44.63 m²

Area of the cloth:

A = 4.5*4 = 18 m²

Uncovered area:

44.63 - 18 = 26.63 m²

Choice A

Area of the cut piece:

A = πr² = 3.14*7.6² = 181.37 cm²

Area of the square piece:

A= a² = 34² = 1156 cm²

Remaining piece is:

1156 - 181.37 = 974.63 cm²

Choice B

8 0

2 years ago

Charlie is standing 45 feet from the base of 100 foot tall tree. What is the angle of elevation from him to the kite stuck on to

galben [10]

Hey. Let me help you on this one.

In order for us to solve this problem easier, let's break it apart. We can also graph the triangle so we get visual of this problem.

I drew a quick graph for you to easier understand this question. As you can see, Charlie is standing below the tree 45 feet from it, and we need to find the unknown angle measure.

Let's form a SOHCAHTOA function which you have probably already learned in your Geometry course.

First of all let's identify our sides. The side opposite of the right triangle is a Hypotenuse, and the side that's 45 feet is adjacent, since it's adjacent to the unknown angle.

We know that we need to use $Cos$ (Cosine) with negative power to it in order to solve this question, since we are looking for the unknown angle measure.

Let's form the function which $Cos$ , Hypotenuse, and Adjacent side.

$Cos^{-1} =45/100$

Now, let's solve the left part of this function

$
Cos^{-1} =0.45$

Awesome. You will need to use your calculator for this part. Find the value of 0.45 when negative Cosine is used on it.

$Cos^{-1} =0.45$
$63.25631605$

Awesome. Let's round this number to the closest tenth

$63.3$ is the rounded value we have discussed below.

Answer: 63.3 degrees is the unknown measure of the angle

5 0

2 years ago