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3 years ago

BRAINLIEST+STARS

Mathematics

1 answer:

Evgen [1.6K]3 years ago

8 0

Answeri really cant see the bottom answers can you take a new picutre

Step-by-step explanation:

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The length, width, and height of a right rectangular prism are multiplied by 2/3. What will be the effect on the volume of the p

miskamm [114]

V initial = l*w*h;
V final = (2/3)l*(2/3)w*(2/3)h = (l*w*h)*(8/9) = V initial * (8/9) ;

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3 years ago

Ava's Ice Cream Shop sold 25 sundaes with nuts and 3 sundaes without 10

Inessa [10]

Answer:

7:5 or 5:7

Step-by-step explanation:

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3 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= $4i+4\sqrt 3j$

7 0

3 years ago

Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Select two options. The domain of the function is

ratelena [41]

Answer:

C and D on Edge

Step-by-step explanation:

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3 years ago

The measurements obtained for the interior dimensions of a rectangular box are 200 cm by 200 cm by 300 cm. If each of the three

vlada-n [284]

Answer:

C. 160,000

Step-by-step explanation:

Given that the measurements obtained for the interior dimensions of a rectangular box are 200 cm by 200 cm by 300 cm.

Also given that each of the three measurements has an error of at most 1 cm

COnsider the worst case where each dimension is increased by 1 cm

Then we measure the dimensions as 201 , 201 and 301

So volume would be measured as

$201*201*301\\= 12160701$ cubic cm

Actual volume of the box = $200*200*300\\=12000000$ cubic cm

Difference maximum possible = 160701 cubic cm

Out of the five options given option C is nearest to this value

So answer is

C. 160,000

5 0

3 years ago