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3 years ago

Given the height EF of the triangular prism is 15 cm, BG = 10 cm, and FC = 12cm, what is the volume of the triangular prism? *

Mathematics

1 answer:

Katena32 [7]3 years ago

4 0

Answer:

900cm

Step-by-step explanation:

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What is the value of 13x^-3 y^-1 for x=-1 and y=4

Komok [63]

Answer:

-3.25

Step-by-step explanation:

Simply plug in a -1 for the x and a 4 for the y, and then use a calculator

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3 years ago

Determine if the given function is a linear transformation. t(x1, x2, x3) = (−2x2, 6x3)

Zepler [3.9K]

$T:\mathbb R^3\to\mathbb R^2$ will be linear if for any $\mathbf x,\mathbf y\in\mathbb R^3$ and constants $a,b\in\mathbb R$ , we have

$T(a\mathbf x+b\mathbf y)=aT(\mathbf x)+bT(\mathbf y)$

Let $\mathbf x=(x_1,x_2,x_3)$ and $\mathbf y=(y_1,y_2,y_3)$ , and let $a,b$ be any two scalars. Then

$a\mathbf x+b\mathbf y=(ax_1+by_1,ax_2+by_2,ax_3+by_3)$

By definition of $T$ , we have

$T(a\mathbf x+b\mathbf y)=(-2ax_2-2by_2,6ax_3+6by_3)$
$T(a\mathbf x+b\mathbf y)=(-2ax_2,6ax_3)+(-2by_2,6by_3)$
$T(a\mathbf x+b\mathbf y)=a(-2x_2,6x_3)+b(-2y_2,6y_3)$
$T(a\mathbf x+b\mathbf y)=aT(\mathbf x)+bT(\mathbf y)$

Therefore $T$ is a linear transformation.

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3 years ago

A stadium has two sections, A and B.

Alekssandra [29.7K]

ANSWER: a=12 b=15
Explanation: (look at work below)

4a + 1b = 63 (eq1)
5a + 3b = 105 (eq2)
-12a + -3b = -189 (subt. eq1 from eq2)
————————-
-7a = -84
a = 12
4(12) + 1b = 63 (plug in the a value)
48 + 1b = 63
b = 15

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3 years ago

Please help me with this.

blondinia [14]

Answer:

Step-by-step explanation:

a,c,d are same but b is different.

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3 years ago

the triangular area between points A, B, and D will be decorated with red, white and blue flowers. 1/3 of triangle ABD will have

photoshop1234 [79]

Answer:

About more than half!

Step-by-step explanation:

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3 years ago