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3 years ago

How do I draw a shaded figure that represents 100%

Mathematics

1 answer:

Taya2010 [7]3 years ago

6 0

Draw any figure (square, rectangle, triangle, etc) and color it all in. That would represent 100%

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4y^2+7y-14<br>factor by grouping

Vedmedyk [2.9K]

Answer:

NoSolutions

Step-by-step explanation:

4y^2+7y-14

Sadly, this equation is not factorable by grouping

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3 years ago

A farmer sold 54 pumpkins the first weekend of a fall festival and 42 pumpkins the second weekend.

bixtya [17]

Answer:?-54-42=?

Step-by-step explanation:

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3 years ago

Round 463,462 to the nearest ten thousand

zhenek [66]

460,000 is the answer

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4 years ago

Find a unit vector that has the same direction as the given vector. 8i ? j + 4k

e-lub [12.9K]

Answer with Step-by-step explanation:

a.Let given vector

a=8i-j+4k

$\mid a\mid=\sqrt{(8)^2+(-1)^2+(4)^2}=9$

By using the formula

Magnitude of a vector= $\sqrt{x^2+y^2+z^2}$

Where x=Coefficient of i

y=Coefficient of j

z=Coefficient of k

Unit vector= $\hat{a}=\frac{a}{\mid a\mid}$

By using the formula

The unit vector= $\hat{a}=\frac{8i-j+4k}{9}=\frac{8}{9}i-\frac{1}{9}j+\frac{4}{9}k$

b.Let vector b=-2i+4j+2k

$\mid b\mid=\sqrt{(-2)^2+4^2+2^2}=2\sqrt 6$

$\hat{b}=\frac{-2i+4j+2k}{2\sqrt 6}$

Length of vector=6

Therefore, the vector in the direction of <-2,4,2> with length 6 is given by = $6\hat{b}=6\times \frac{-2i+4j+2k}{2\sqrt 6}$

The vector in the direction of <-2,4,2> with length 6 is given by = $-\sqrt 6(-i+2j+k)$

c. $\theta=\frac{\pi}{3}$

$\mid v\mid=8$

Let v= $v_x i+v_y j$

$v_x=\mid v\mid cos\theta$

$v_x=8cos\frac{\pi}{3}=8\times \frac{1}{2}=4$

$cos\frac{\pi}{3}=\frac{1}{2}$

$v_y=\mid v\mid sin\theta$

$v_y=8\times sin\frac{\pi}{3}=8\times \frac{\sqrt 3}{2}=4\sqrt 3$

$sin\frac{\pi}{3}=\frac{\sqrt 3}{2}$

Therefore, the vector v in component form= $4i+4\sqrt 3j$

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3 years ago

A new record will be set if the temperature is less than –15°F. Which inequality shows the temperatures when a new record will b

Anika [276]

Answer:

A. t < –15

Step-by-step explanation:

The temperature has to be less than -15

t < -15

3 0

3 years ago