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2 years ago

The tail of the spider monkey is 64% of 55in.What is the length of its tail?

Mathematics

1 answer:

mylen [45]2 years ago

3 0

64%= .64
.64 of 55= 35.2
So the length of its tail is 35.2in.

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A ball is orbiting counterclockwise at 100 revolutions per minute (rpm) around a circle of radius 10 cm. The center of the circl

Iteru [2.4K]

Speed= 100 rev/1 min=(1/4rev)/x min

x=(1/400)min=60/400 sec=3/20=0.15 sec

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2 years ago

Hiro painted his room at a rate of 8 square meters per hour. After 3 hours of painting, he had 28 square meters left to paint. L

lesya692 [45]

Answer: $A(t)=-8t+52$

Step-by-step explanation:

<h3> The missing question is: "What is the Functions formula A(t)=?"</h3><h2 />

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

According to the data given in the exercise, you know that:

- $A(t)$ represents the area to paint the Hiros' romm as a function of time.

- The rate he painted the room was 8 square meters per hour.

- The area left to paint after 3 hours was 28 m².

Therefore, based on this, you can idenfity that:

1. The slope of the line is:

$m=-8$

2. One of the point on the line is:

$(3,28)$

So you must substitute the slope and the coordinates of that point into $y=mx+b$ and then solve for "b" in order to find its value:

$28=-8(3)+b\\\\28+24=b\\\\b=52$

Therefore, you can determine that the function $A(t)$ is:

$A(t)=-8t+52$

4 0

1 year ago

Harvie buys one notebook for $1. 59 and pens for $0. 29 each. He spends a total of $5.07 Assume there is

Andre45 [30]

Answer:

0.29p + 1.59 = 5.07 where p represents the number of pens

Step-by-step explanation:

5 0

2 years ago

Megan spent $9.85 on ingredients to make one pan of cereal bar and has a length of 24 inches and a width of 16 inches. Megan nee

masya89 [10]

Answer:

96 bars = 10cent each (dime/pence etc) 10.2604166667 each

Step-by-step explanation:

if the cereal bars are accounted for 24inch x 4inch and 4inch lengths seem appropriate length, Then we can account for 1inch x 16 inch widths being 1'' wide each. 6 x 16 = 96 and 96/388 = 4 being the length.

Extended: Area of pan 24 x 16 = 240+148= area of 388in^2

96 bars costing ($9.85) 985/96

3 0

2 years ago

Find the dimensions of the box with volume 1728 cm3 that has minimal surface area. (Let x, y, and z be the dimensions of the box

Gala2k [10]

Answer:

The dimensions of the box are 12 cm , 12 cm , 12 cm

Step-by-step explanation:

Let x , y and z be the dimensions of box

Volume of box =xyz=1728

$z=\frac{1728}{xy}$

Surface area of box = $2xy+2yz+2xz=2xy+2y(\frac{1728}{xy})+2x(\frac{1728}{xy})$

Let $f(x,y)=2xy+2(\frac{1728}{x})+2(\frac{1728}{y})$

To get minimal surface area

$\frac{\partial f}{\partial x}=0$ and $\frac{\partial f}{\partial y}=0$

$\frac{\partial(2xy+2(\frac{1728}{x})+2(\frac{1728}{y}))}{\partial x}=0$

$2y-2(\frac{1728}{x^2})=0$

$y=\frac{1728}{x^2}$ ----1

$\frac{\partial(2xy+2(\frac{1728}{x})+2(\frac{1728}{y}))}{\partial y}=0$

$2x-2(\frac{1728}{y^2})=0\\x=\frac{1728}{y^2} \\y^2=\frac{1728}{x}$

Using 1

$(\frac{1728}{x^2} )^2=\frac{1728}{x}$

x=0 and $x^3=1728$

Side can never be 0

So, $x^3=1728$

x=12

$y=\frac{1728}{x^2} \\y=\frac{1728}{12^2}$

y=12

$z=\frac{1728}{xy}\\z=\frac{1728}{(12)(12)}$

z=12

The dimensions of the box are 12 cm , 12 cm , 12 cm

5 0

2 years ago