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3 years ago

Answer number 31 and 32. For what value of x is the figure the given parallelogram?

Mathematics

1 answer:

sp2606 [1]3 years ago

5 0

Answer:

cant see 32

Step-by-step explanation:

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Can you kindly help me out please?!

Mila [183]

Answer:

32h^7

Step-by-step explanation:

(4h^4)3=64h^12

64h^12/2h^5=

32h^12/2h^5=32h^7

Hope this helps :)

5 0

2 years ago

An arithmetic sequence is defined by the recursive formula t1 = 9, tn = tn - 1 - 4, where n ∈N and n > 1. The sequence is

VikaD [51]

T2 = t1 - 4 = 9 - 4 = 5
t3 = 5 - 4 = 1
The common difference = -4 so:-

The sequence is 9, 5, 1, -3, -7 ....

4 0

3 years ago

Perform the indicated row operations

SVETLANKA909090 [29]

Answer:

$\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}$

Step-by-step explanation:

Given matrix is,

$\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & 3 & -2 & 5\\ 0 & 10 & 8 & 2\end{bmatrix}$

Operations performed,

-10R₂ → R₂

$\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 10 & 8 & 2\end{bmatrix}$

3R₃ → R₃

$\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}$

4 0

2 years ago

a rectangular pyramid has a volume of 190 cubic centimeters. Find two possible sets of measurements for the base area and height

DerKrebs [107]

<h3>One possible set for the base area and height of the pyramid is 570 cm and 1 cm respectively</h3><h3>Other possible set for the base area and height of the pyramid is 285 cm and 2 cm respectively</h3>

Solution:

The volume of rectangular pyramid is given as:

$Volume = \frac{1}{3} \times base\ area \times height$

Given that,

Rectangular pyramid has a volume of 190 cubic centimeters

$190= \frac{1}{3} \times base\ area \times height$

Substitute, base area = 570 and height = 1

Then we get,

$190 = \frac{1}{3} \times 570 \times 1\\\\190 = 190$

Thus one possible set for the base area and height of the pyramid is 570 cm and 1 cm respectively

Substitute, base area = 285 and height = 2

$190 = \frac{1}{3} \times 285 \times 2\\\\190 = \frac{1}{3} \times 570\\\\190 = 190$

Thus other possible set for the base area and height of the pyramid is 285 cm and 2 cm respectively

6 0

3 years ago

A plane intersects the center of a sphere with a volume of about 113.1 m3. What is the area of the cross section? Round to the n

ivolga24 [154]

Answer:

Step-by-step explanation:

$if ~radius=r \\volume =\frac{4}{3} \pi r^3\\113.1=\frac{4}{3} \pi r^3\\113.1 \times \frac{3}{4 \pi } =r^3\\\frac{339.3 }{4 \times 3.14} =r^3\\r^3=\frac{339.3}{12.56} \approx 27\\r=3\\area =\pi r^2=\pi *3^2=9\pi =9*3.14=28.26 \approx 28.3 ~m^2$

5 0

3 years ago