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3 years ago

15

what if Jordan sorted the shapes by polygons with right angles and polygons with angles less than right angles. would the circle

s still overlap?

1 answer:

timama [110]3 years ago

7 0

If you aer talking about a venn diagram, then the circles will overlap because some shapes have polygons with right angles and angles less than right triangles
example: right triangles or trapezoids

yes, they wil overlap

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Please help. i'm currently failing !

Alla [95]

Answer: it’s a rational number because all rational numbers are fraction, also if you need help on your classes or work I can help you pass okay?

Step-by-step explanation:

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3 years ago

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Would a horizontal line, a straight slanted line, a curve, or a jagged curve best represent the calories you burn during the day

DENIUS [597]

Answer:

A jagged curve

Step-by-step explanation:

Your always going to burn calories but the rate will always change and how many based on what you do will always change so it is never a constant slope.

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3 years ago

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by

a_sh-v [17]

Answer:

Dimension of the box is $16.1\times 7.1\times 2.45$

The volume of the box is 280.05 in³.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the box?

Solution :

Let h be the height of the box which is the side length of a corner square.

According to question,

A sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

The length of the box is $L=21-2h$

The width of the box is $W=12-2h$

The volume of the box is $V=L\times W\times H$

$V=(21-2h)\times (12-2h)\times h$

$V=(21-2h)\times (12h-2h^2)$

$V=252h-42h^2-24h^2+4h^3$

$V=4h^3-66h^2+252h$

To maximize the volume we find derivative of volume and put it to zero.

$V'=12h^2-132h+252$

$0=12h^2-132h+252$

Solving by quadratic formula,

$h=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$h=\frac{-(-132)\pm\sqrt{132^2-4(12)(252)}}{2(12)}$

$h=\frac{132\pm72.99}{24}$

$h=2.45,8.54$

Now, substitute the value of h in the volume,

$V=4h^3-66h^2+252h$

When, h=2.45

$V=4(2.45)^3-66(2.45)^2+252(2.45)$

$V\approx 280.05$

When, h=8.54

$V=4(8.54)^3-66(8.54)^2+252(8.54)$

$V\approx -170.06$

Rejecting the negative volume as it is not possible.

Therefore, The volume of the box is 280.05 in³.

The dimension of the box is

The height of the box is h=2.45

The length of the box is $L=21-2(2.45)=16.1$

The width of the box is $W=12-2(2.45)=7.1$

So, Dimension of the box is $16.1\times 7.1\times 2.45$

6 0

3 years ago

If the measure of an angle is 78 less than the measure of its compliment, what is the measure of the angle?

aliina [53]

Complementary angles add up to 90'
So let X= angle 1
Y=angle 2
So x+y=90
let x=y-78
so(y-78)+y=90
y-78+y=90
2y-78=90
2y=90+78
2y=168
y=168/2
y=84
x=y-78
so x=84-78
x=6
And 6+84=90
So the measure of the angle is 6 degrees.
Hope i helped!

6 0

3 years ago

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A person is purchasing a new golf club bag. The compartment for the golf balls is approximately the shape of a rectangular prism

Lerok [7]

Answer:

The answer to your question is: ≈ 178 balls

Step-by-step explanation:

Data

rectangular prism = 8 in x 11 in x 5 in

golf balls = 1.68 in diameter

Formula

Volume rectangular prism = l x w x h = 8 x 11 x 5 = 440 in³

Volume of ball = (4/3) πr³ = (4/3) (3.1416) (0.84)³ = 2.48 in³

# of balls inside the compartment = volume rectangular prism / volume ball

# of balls = 440 / 2.48

= 177.4 ≈ 178 balls

8 0

4 years ago