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Lyrx [107]
3 years ago
10

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) ;

6 0
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:

4 0
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:

10 0
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
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