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3 years ago

Jeremy constructed this solid by combining two rectangular prisms and a square pyramid.

Mathematics

2 answers:

3241004551 [841]3 years ago

3 0

Answer:

368 square meter

Step-by-step explanation:

just guessing

Svetlanka [38]3 years ago

3 0

Answer:368

I got it right

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A wooden log 10 meters long is leaning against a vertical wall with its other end on the ground. The top end of the log is slidi

Andre45 [30]

Answer:

Step-by-step explanation:

This is a related rates problem from calculus using implicit differentiation. The main equation is Pythagorean's Theorem. Basically, what we are looking for is $\frac{dx}{dt}$ when y = 6 and $\frac{dy}{dt}=-2$ .

The equation for Pythagorean's Theorem is

$x^2+y^2=c^2$ where x and y are the legs and c is the hypotenuse. The length of the hypotenuse is 10, so when we find the derivative of this function with respect to time, and using implicit differentiation, we get:

$2x\frac{dx}{dt}+2y\frac{dy}{dt}=0$ and divide everything by 2 to simplify:

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ . Looking at that equation, it looks like we need a value for x, y, $\frac{dx}{dt}$ and $\frac{dy}{dt}$ .

Since we are looking for $\frac{dx}{dt}$ , that can be our only unknown and everything else has to have a value. So what do we know?

If we construct a right triangle with 10 as the hypotenuse and use 6 for y, we can solve for x (which is the only unknown we have, actually). Using Pythagorean's Theorem to solve for x:

$x^2+6^2=10^2$ and

$x^2+36=100$ and

$x^2=64$ so

x = 8.

NOW we can fill in the derivative and solve for $\frac{dx}{dt}$ .

Remember the derivative is

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ so

$8\frac{dx}{dt}+6(-2)=0$ and

$8\frac{dx}{dt}-12=0$ and

$8\frac{dx}{dt}=12$ so

$\frac{dx}{dt}=\frac{12}{8}=\frac{6}{4}=\frac{3}{2}=1.5 m/sec$

7 0

3 years ago

The difference of two numbers is 6. find the smallest possible product.

nirvana33 [79]

The minimum product would be -9

8 0

4 years ago

Joan received $100 in gift cards for an online music store. Each time she buys a new song it costs $1.29. She has already bought

Artyom0805 [142]

-1.29(10) less then sign 100
he can by 67 more songs

5 0

3 years ago

How many pizzas will she need to bring to have exactly enough?

masha68 [24]

So what is 24 divided by 4 is 6 so 6 pizzas she brought to her class. Do you need a full explanation or do u get it ??

3 0

3 years ago

Read 2 more answers

what transformations always produce congruent figures? explain. What transformations only sometimes produce congruent figures? e

kifflom [539]

The transformations that always produce congruent figures are TRANSLATIONS, REFLECTIONS, and ROTATIONS. These transformations are isometric, thus, the figures produced are always congruent to the original figures.

The transformation that sometimes produce congruent figures is dilation. It can be enlargement or contraction.

rule: (x,y) → (x+4,y+8)

5 0

3 years ago