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3 years ago

11

Jim and Holly are making gingerbread men. It takes them both 2 minutes to make 2 gingerbread shapes. At this rate, how many peop

le are needed to make 400 gingerbread men in 400 minutes?

1 answer:

emmainna [20.7K]3 years ago

7 0

Take 400 and divided by 2 which u need 200 more people

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A contractor bought 10.8 ft squared of sheet metal. has used 2.1 ft squared so far and has $139.20 worth of sheet metal remaini

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Answer:

7.1

Step-by-step explanation:

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3 years ago

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In triangle ΔABC, ∠C is a right angle and CD is the height to

Zina [86]

Answer:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

Step-by-step explanation:

The triangles are drawn below.

CD is perpendicular to AB as CD is height to AB.

Therefore, angles $m\angle CDB=m\angle CDA=90$ °

So, triangles ΔCBD and ΔCAD are right angled triangles.

Now, from the right angled triangle ΔABC,

$m\angle A+m\angle B =90\\\alpha+m\angle B=90\\m\angle B=90-\alpha$

From ΔCBD,

$m\angle CBD$ is same as $m\angle B$ .

So, $m\angle CBD=90-\alpha$

$m\angle BCD+m\angle BDC =90\\m\angle BCD+90-\alpha=90\\m\angle BCD=\alpha$

Now, from ΔCAD,

$m\angle CAD$ is same as $m\angle A$

So, $m\angle CAD=\alpha$

$m\angle CAD+m\angle ACD =90\\\alpha+m\angle ACD=90\\m\angle ACD=90-\alpha$

Hence, the unknown angles of both the triangles are:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

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3 years ago

The volume inside of a sphere is V=4πr33 where r is the radius of the sphere. Your group has been asked to rearrange the formula

Semmy [17]

Answer:

Therefore,

$r=\sqrt[3]{\frac{3V}{4\pi }}$

is the required r

Step-by-step explanation:

Given:

Volume of inside of the sphere is given as

$V=\frac{4}{3} \pi r^{3}$

where r is the radius of the sphere

To Find:

r =?

Solution:

We have

$V=\frac{4}{3} \pi r^{3}$ ......Given

$3\times V=4\pi r^{3} \\\\\therefore r^{3}=\frac{3V}{4\pi } \\\\\therefore r=\sqrt[3]{\frac{3V}{4\pi }} \textrm{which is the expression for r}$

Therefore,

$r=\sqrt[3]{\frac{3V}{4\pi }}$

is the required r

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3 years ago

Given the graph above find an equation for the graph and write your anwser in slope intercept form

lys-0071 [83]

<u>Given:</u>

Given that the graph of a linear function.

We need to determine the equation of the graph in slope intercept form.

<u>Slope</u>:

Consider any two coordinates from the equation of the line to determine the slope.

Let the two coordinates are (-4,3) and (4,-1)

The slope can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the coordinates in the above formula, we get;

$m=\frac{-1-3}{4+4}$

$m=\frac{-4}{8}$

$m=-\frac{1}{2}$

Thus, the slope of the equation is $m=-\frac{1}{2}$

<u>Value of y - intercept:</u>

The value of y - intercept is the value of y when x = 0.

Hence, from the graph, it is obvious that the value of y when x = 0 is 1.

Hence, the value of y - intercept is 1.

Thus, y - intercept is $b=1$

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

$y=mx+b$

Substituting the slope $m=-\frac{1}{2}$ and the y - intercept $b=1$

Thus, we get;

$y=-\frac{1}{2}x+1$

Thus, the equation of the line is $y=-\frac{1}{2}x+1$

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3 years ago

What number is between 0-5

svet-max [94.6K]

Answer:

The numbers are 0 12345

Step-by-step explanation:

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