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3 years ago

WILL MARK BRAINLIEST.

Mathematics

1 answer:

charle [14.2K]3 years ago

3 0

Answer:

option d

Step-by-step explanation:

The cross section of the rectangular prism is parallel to the base.

So, the length and width is congruent to the base. So, same length and width

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Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y=4/3 x

Mrac [35]

Answer:

$y=\frac{3}{4}x-1$

Step-by-step explanation:

Since we're looking at perpendicular lines, the slope of the new line is the reciprocal of the original line.

So the slope of our new line is $\frac{3}{4}$

So far, we are looking at $y=\frac{3}{4} x+b$

Now we need to find the b value by plugging in the given point.

$2=\frac{3}{4}(4)+b\\ 2=3+b\\ b=-1$

So the final equation is $y=\frac{3}{4}x-1$

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3 years ago

Find the missing length indicated. Leave your answer in simplest radical form.

pickupchik [31]

25

The triangle given by 9, unknown, and 15 and the triangle given by 15, unknown, and x are similar triangles and therefore 9:15 = 15:x

X is 25 in this case

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2 years ago

Of the 36 students in the book club .five ninths Of the students prefer adventure books to historical books. How many of the stu

Effectus [21]

You have to make a tape diagram and divide it in to 9 parts because it is 5 out of 9 then you will make a bracket pointing to only 4 parts of the tape diagram then you do 36/9 and it will equal 4 so put 4 in to each part and so 4 x 4 is 16 so the answer is 16 people prefer historical books

8 0

3 years ago

Read 2 more answers

Evaluate the spherical coordinate integral

expeople1 [14]

Rewrite the equations of the given boundary lines:

y = -x + 1 ==> x + y = 1

y = -x + 4 ==> x + y = 4

y = 2x + 2 ==> -2x + y = 2

y = 2x + 5 ==> -2x + y = 5

This tells us the parallelogram in the x-y plane corresponds to the rectangle in the u-v plane with 1 ≤ u ≤ 4 and 2 ≤ v ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

$J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3$

Rewrite the integrand:

$-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3$

The integral is then

$\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}$

5 0

3 years ago

SEE IMAGE! Two lines below intersect to form four angles, as shown. The measure of angle 2 is 114°. What is the sum of the measu

o-na [289]

ANSWER:

Angles 2 and 4 are vertical angles, which means they have the same angle measure because they are opposite of each other. So angles 2 and 4 are both 114 so that makes 228. All of the angles have to make 360, so 360 - 228 = 132. Then, 132/2 because there are two angles. That makes 66. And angles 1 and 3 are also vertical angles so they are also the same

The answer is 132

8 0

3 years ago