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3 years ago

What is the solution to the proportion? 5/8 = m/40

Mathematics

2 answers:

vladimir2022 [97]3 years ago

6 0

Answer:

We get the value of m that is 25.

Step-by-step explanation:

The given proportion is:

$\frac{5}{8}=\frac{m}{40}$

Simplifying the above given proportion by cross multiplying, we get

$m=\frac{5{\times}40}{8}$

⇒ $m=5{\times}5$

⇒ $m=25$

Thus, on simplifying the given proportion, we get the value of m.

Triss [41]3 years ago

4 0

Your answer is 25. You do 40 times 5 divided by 8 or 8 times 5 is 40 and 5 times 5 is 25. Hope this helps

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Please someone answer this question!

Nostrana [21]

Answer:

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Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that our x-values span from -2 to 2. Since they are both closed dots, we include them in the domain:

[-2, 2] or -2 ≤ x ≤ 2

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3 years ago

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1325 to the nearest thousandths

Misha Larkins [42]

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A glass paperweight has a composite shape: a square pyramid fitting exacty on top of an 8 centimeter cube. The pyramid has a hei

ArbitrLikvidat [17]

Answer:

Part 1) The volume of the paperweight is $576\ cm^{3}$

Part 2) The total surface area of the paperweight is $400\ cm^{2}$

Step-by-step explanation:

Part 1) what is the volume of the paperweight?

we know that

The volume of the paperweight is equal to the volume of the square pyramid plus the volume of the cube

step 1

Find the volume of the pyramid

The volume of the pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the square base

H is the height of the pyramid

$B=8^{2}=64\ cm^{2}$

$H=3\ cm$

substitute

$V=\frac{1}{3}(64)(3)=64\ cm^{3}$

step 2

Find the volume of the cube

The volume of the cube is equal to

$V=b^{3}$

$V=8^{3}=512\ cm^{3}$

step 3

Find the volume of the paperweight

$64\ cm^{3}+512\ cm^{3}=576\ cm^{3}$

Part 2) what is the total surface area of the paperweight?

we know that

The total surface area of the paperweight is equal to the surface area of 5 faces of the cube plus the lateral area of the pyramid

step 1

Find the surface area of 5 faces of the cube

$SA=5b^{2}$

$SA=5(8^{2})=320\ cm^{2}$

step 2

Find the lateral area of the pyramid

$LA=4[\frac{1}{2}bh]$

$LA=4[\frac{1}{2}(8)(5)]=80\ cm^{2}$

step 3

Find the total surface area of the paperweight

$320\ cm^{2}+80\ cm^{2}=400\ cm^{2}$

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3 years ago

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zhannawk [14.2K]

The graph y=|x|-4 is obtained from the graph y=|x| dy <span>moving down 4 units the graph y=|x| along the y-axis (see, if x=0, then for y=|x|, y=0 and for y=|x|-4, y=-4).
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These two graphs have the same form.
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3 years ago

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A sphere rolls up an inclined plane of inclination angle 30 degree. At the bottom of the incline the center of mass of the spher

Zigmanuir [339]

Answer: The sphere is 0.002548 cm travel up the plane.

Step-by-step explanation:

Since we have given that

Inclination angle = 30°

Translational speed = 0.25 m/s

As we know that

$KE=0.5\times lw^2=PE$

and

Length of solid sphere is given by

$l=\dfrac{2Mr^2}{5}$

So, it becomes,

$KE=0.5\times \dfrac{2Mr^2}{5}w^2=Mgd\sin \theta$

And $0.25\ m/sv=rw$

So, it becomes,

$1\times (0.25)^2=5\times d\times 9.81\times \sin 30^\circ\\\\0.0625=49.05d\times \dfrac{1}{2}\\\\\dfrac{0.125}{49.05}=d\\\\d=0.002548$

Hence, the sphere is 0.002548 cm travel up the plane.

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3 years ago