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3 years ago

Which number below is a prime number? A. 17 B. 12 C. 18 D. 28 SUBM

Mathematics

1 answer:

julia-pushkina [17]3 years ago

3 0

Answer:

Step-by-step explanation:

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Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens. The girls plan to p

creativ13 [48]

Answer:

3x3x3x3+4x4x4x4x4

Step-by-step explanation:

7 0

2 years ago

Zadanie optymalizacyjne z matematyki. Proszę o rozwiązanie i wyjaśnienie

Yakvenalex [24]

Volume of the pyramid:

$V=\dfrac{s^2h}3$

Perimeter of the cross-section:

$40=\sqrt2\,s+2\sqrt{\dfrac{s^2}2+h^2}=\sqrt2\left(s+\sqrt{s^2+2h^2}\right)$

$\implies h=\sqrt{\dfrac{(20\sqrt2-s)^2-s^2}2}=\sqrt{400-20\sqrt2\,s}$

Area of the cross-section:

$P=\dfrac12(\sqrt2\,s)h=\dfrac{sh}{\sqrt2}$

$\implies P=\dfrac{s\sqrt{400-20\sqrt2\,s}}{\sqrt2}=s\sqrt{200-10\sqrt2\,s}$

First derivative test:

$\dfrac{\mathrm dP}{\mathrm ds}=\dfrac{20\sqrt2-3s}{\sqrt{4-\dfrac{\sqrt2}5s}}=0\implies s=\dfrac{20\sqrt2}3$

Then the height of the cross-section/pyramid is

$h=\sqrt{400-20\sqrt2\,s}=\dfrac{20}{\sqrt3}$

The volume of the pyramid that maximizes the cross-sectional area $P$ is

$V=\dfrac{\left(\frac{20\sqrt2}3\right)^2\frac{20}{\sqrt3}}3=\dfrac{16000}{27\sqrt3}$

5 0

3 years ago

Mario writes the equation (x+y)2=z2+4(12xy)(x+y)2=z2+4(12xy) to begin a proof of the Pythagorean theorem.

Verizon [17]

Answer:

Step-by-step explanation:

( x + y ^)2 finds the area of the outer square by squaring its side length.

z² + 4( 1/2xy ) finds the area of the outer square by adding the area of the inner square and the four triangles.

3 0

3 years ago

Read 2 more answers

If the rate of change of the graph of a linear equation is 4 and the y-intercept is (0, 8), what is the linear equation that rep

serg [7]

Answer:

y = 4x + 8

Step-by-step explanation:

The linear equation can be written in the form y = mx + b. "y" and "x" stay as they are. The "m" is the slope or rate of change. The b is the y-intercept.

Hope it helps!!!

(May I have brainliest if it's correct please?)

7 0

2 years ago

A die <br>is tossed find the odds against rolling a number greater than 4

Ulleksa [173]

Answer:

The chance of rolling a number greater than 4 (a 5 and 6) is 2/6 = 1/3 after simplification. The probability it WON'T happen is 1 - 1/3 = 2/3.

The ratio of against to for is 2/3:1/3

You can further simplify this ratio by multiplying each side by 3 and yielding

2:1.

The chance of it not happening is twice as likely as it is to roll a number greater than 4

3 0

2 years ago