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3 years ago

2. A triangular pyramid begins with these coordinates:

1 answer:

3 0

The rule for the reflection is (x,y,z) → (-x,y,z) so P' = (1, 2, 0) for example.
Then the rule is (x,y,z) → (x + 2, y + 4, z - 3) so P'' = (3, 6, -3)

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What is the ratio 25 to 45 as a simplified fraction

fenix001 [56]

Reducing the fractions, it is also true that:
Part A = 5/14 of the whole
Part B = 9/14 of the whole

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3 years ago

-26=b-13 Plz answer I’m a month late on this test

Irina-Kira [14]

Answer:

B = -13

Step-by-step explanation:

Add 13 to both sides

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4 0

3 years ago

In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest inch.

dalvyx [7]

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

$m\angle G+m\angle H+m\angle I=180^\circ$

$30^\circ+29^\circ+m\angle I=180^\circ$

$59^\circ+m\angle I=180^\circ$

$m\angle I=180^\circ-59^\circ$

$m\angle I=121^\circ$

According to Law of sines,

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

Using Law of sines, we get

$\dfrac{h}{\sin H}=\dfrac{i}{\sin I}$

$\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}$

$\dfrac{300}{0.4848}=\dfrac{i}{0.8572}$

Multiply both sides by 0.8572.

$\dfrac{300}{0.4848}\times 0.8572=i$

$530.44554=i$

$i\approx 530$

Therefore, the length of i is about 530 inches.

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3 years ago

Consider the volume of the region shown below, which shows a right circular cone with top radius 3 cm and height 10 cm. We have

koban [17]

I have the same problem here with a slight change in the given values:

radius is 2 & height of 6 indicates the bounding line is y = 3 x---> x = y / 3....

thus the [ π radius ² thickness ] yields π (y² / 9 ) dy , y in [ 0 , 6 ] for the volume... 

a Riemann sum is then : y_i = 0 + i [ 6 / n ] = 6 i / n , i = 1,2,3...n and do a right side sum

π Σ { i = 1,2,3..n } [ 36 i² / 9 n² ] [ 6 / n ]

I hope my guide has come to your help. God bless and have a nice day ahead!

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3 years ago

Absolute value inequality

Marizza181 [45]

|x| because just Google it if I'm wrong

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3 years ago