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3 years ago

7

Jared had 5 chocolate bars left over from Halloween. During a party with 5 of his other friends, they shared the chocolate bars.

How much of a chocolate bar did Jared and each of his friends get to eat?

1 answer:

riadik2000 [5.3K]3 years ago

3 0

Answer:

1 for each friend

Step-by-step explanation:

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Quadrilateral ABCD has vertices at A(-3, 3), B(0, 4), C(3, 3),and D(0,2). What word below best describes this quadrilateral?

BaLLatris [955]

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D) Rhombus

Step-by-step explanation:

The figure is a parallelogram with equal-length sides, so is a rhombus.

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2 years ago

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A trough of water is 20 meters in length and its ends are in the shape of an isosceles triangle whose width is 7 meters and heig

Vaselesa [24]

Answer:

a) Depth changing rate of change is $0.24m/min$ , When the water is 6 meters deep

b) The width of the top of the water is changing at a rate of $0.17m/min$ , When the water is 6 meters deep

Step-by-step explanation:

As we can see in the attachment part II, there are similar triangles, so we have the following relation between them $\frac{3.5}{10} =\frac{a}{h}$ , then $a=0.35h$ .

a) As we have that volume is $V=\frac{1}{2} 2ahL=ahL$ , then $V=(0.35h^{2})L$ , so we can derivate it $\frac{dV}{dt}=2(0.35h)L\frac{dh}{dt}$ due to the chain rule, then we clean this expression for $\frac{dh}{dt}=\frac{1}{0.7hL}\frac{dV}{dt}$ and compute with the knowns $\frac{dh}{dt}=\frac{1}{0.7(6m)(20m)}2m^{3}/min=0.24m/min$ , is the depth changing rate of change when the water is 6 meters deep.

b) As the width of the top is $2a=0.7h$ , we can derivate it and obtain $\frac{da}{dt}=0.7\frac{dh}{dt} =0.7*0.24m/min=0.17m/min$ The width of the top of the water is changing, When the water is 6 meters deep at this rate

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3 years ago

You want to put $4,000 in a simple interest account. It has a 2.5% annual interest rate. How long will it take you to earn $500

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5 years to earn $500

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3 years ago

Find the area and perimeter of the square 6 meters

Mkey [24]

<h2>AREA</h2>

The formula for finding area of a square is:

$length \times width$

In a square, all the sides are the same. Each side is 6 meters long. Plug in 6 to the formula.

$length \times width \rightarrow 6 \times 6$

Multiply:

$6 \times 6 = 36$

The area of the square is 36 m²

<h2>PERIMETER</h2>

Perimeter is the distance around a shape. To find perimeter, you have to add all all the side lengths. The formula for finding perimeter is:

$2(l) \times 2(w)$

Remember that squares have 4 sides, and all length(s) and width(s) measure the same. The length and width measure the same. Plug in the numbers into the formula:

$2(l) + 2(w) \rightarrow 2(6) + 2(6)$

Simplify:

$2(6) + 2(6) = 12 + 12$

Add:

$12 + 12 = 24$

The perimeter of the square is 24 m

7 0

3 years ago