3 years ago

Which statement best describes the area of the triangle shown below?

1 answer:

4 0

The answer is “It is one-half the area of a rectangle of length 4 units and width 3 units.” This is because the height of this triangle is 3 units and the base is 4 units so it will have the same area as half a rectangle with the same units.

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Which number best represents the location of Point e on the number line below

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1.6 is the write answer

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The bed of a longbed pickup truck measures 4 feet by 8 feet. Which is the length of the longest thin metal bar that will lie fla

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Answer: B. 8ft 11 in.

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3 years ago

there are 20 kids in your class that ride the bus and three out of five that pack lunch. what is three fifths of twenty

alekssr [168]

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1/5 out of 20 is 4. So if you want 3/5 it would end up being 12.

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Vector b~ has x, y, and z components of 4.4, 9.6, and 5 units, respectively. what is the angle between b~ and the x-axis?

gayaneshka [121]

The simplest vector you can take along the x-axis is $\mathbf v=langle1,0,0\rangle$ .

Now,

$\mathbf b\cdot\mathbf v=\|\mathbf b\|\|\mathbf v\|\cos\theta$

where $\theta$ is the angle between the two vectors. You have

$\mathbf b\cdot\mathbf v=\langle4.4,9.6,5\rangle\cdot\langle1,0,0\rangle=4.4$
$\|\mathbf b\|=\sqrt{4.4^2+9.6^2+5^2}\approx11.68$
$\|\mathbf v\|=\sqrt{1^2+0^2+0^2}=1$

so that

$4.4=11.68\cos\theta\implies\cos\theta=0.3767\implies \theta\approx67.87^\circ$

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3 years ago

What is the distance in units between the points (-1, 5) and (-1,<br> -3)?

Alex_Xolod [135]

Answer:

8 [units].

Step-by-step explanation:

if to see the given coordinates, then it is clear the x-coordinates are equal. It means, the required distance can be calculated:

d=5+3=8 [units].

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2 years ago