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3 years ago

5

Tom has a solid, wooden block that is a rectangular prism with non-square bases. He saws the prism parallel to the base. What sh

ape is the cross section?
rectangle not square
triangle
diamond
square

1 answer:

Katyanochek1 [597]3 years ago

6 0

Answer:

A) Rectangle

Step-by-step explanation:

Hope this helps :D

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The diagram below is NOT drawn to scale. Are lines j and k parallel? How can you tell?

Artemon [7]

Answer:

No. They are slightly pointed. Even if it has the slightest angle that is not 180 degrees, then it is not parallel.

Step-by-step explanation:

3 0

3 years ago

At a particular restaurant, each pizza roll has 60 calories and each mini hotdog has 70 calories. A combination meal with pizza

PolarNik [594]

Answer:

There are 9 pizza rolls and 12 mini hotdogs in the meal.

Step-by-step explanation:

We are given the following in the question.

Let x be the number of pizza rolls sold and y be the number of mini hotdogs in the combination meal.

Total number of items in combination meal = 21

Thus, we can write the equation:

$x + y = 21$

Calorie in a pizza roll = 60

Calorie in a mini hotdog = 70

Total calories = 1380

Thus, we can write the equation:

$60x + 70y = 1380$

Solving the two equations, we get,

$60x + 70y - (60x+60y) = 1380 - 60(21) \\10y = 120\\\Rightarrow y = 12\\\Rightarrow x = 21-12 = 9$

Thus, there are 9 pizza rolls and 12 mini hotdogs in the meal.

4 0

3 years ago

Find the surface area of the surface given by the portion of the paraboloid z=3x2+3y2 that lies inside the cylinder x2+y2=4. (hi

natta225 [31]

Parameterize the part of the paraboloid within the cylinder - I'll call it $S$ - by

$\mathbf r(u,v)=\langle x(u,v),y(u,v),z(u,v)\rangle=\left\langle u\cos v,u\sin v,3u^2\right\rangle$

with $0\le u\le2$ and $0\le v\le2\pi$ . The region's area is given by the surface integral

$\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=2}\int_{v=0}^{v=2\pi}\|\mathbf r_u\times\mathbf r_v\|\,\mathrm du\,\mathrm dv$
$=\displaystyle\int_{v=0}^{v=2\pi}\int_{u=0}^{u=2}u\sqrt{1+36u^2}\,\mathrm du\,\mathrm dv$
$=\displaystyle2\pi\int_{u=0}^{u=2}u\sqrt{1+36u^2}\,\mathrm du$

Take $w=1+36u^2$ so that $\mathrm dw=72u\,\mathrm du$ , and the integral becomes

$=\displaystyle\frac{2\pi}{72}\int_{w=1}^{w=145}\sqrt w\,\mathrm dw$
$=\displaystyle\frac\pi{36}\frac23w^{3/2}\bigg|_{w=1}^{w=145}$
$=\dfrac\pi{54}(145^{3/2}-1)\approx101.522$

7 0

3 years ago

PLZZZZZZ HELPPPPP!!!!!!

TEA [102]

Answer:

1

Step-by-step explanation:

1/2×2 = 2/2 = 1

_____________________

8 0

3 years ago

The ratio of boys to girls in a class is 7:5. There are 36 students in the class. How many students are girls?

Art [367]

Answer:

15 students are girls

Step-by-step explanation:

7+5=12

36÷12=3

3x5=15

5 0

2 years ago

Read 2 more answers