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s344n2d4d5 [400]

3 years ago

12

A circle has a radius of 7cm . find the radian measure of the central angle ? that intercepts an arc of length 16cm .

1 answer:

Shalnov [3]3 years ago

6 0

S=rtheta
theta=s/r
16/7=2.2857

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An electrician can wire a house in 20 hours. if she works with an apprentice, the same job can be completed in 12 hours. how lon

AlekseyPX

We know that
<span>An electrician can wire a house in ------------> 20 hours
so
100%----------------> 20 hours
X-------------------> 12 hour
x=12*100/20----> x=60%

that means
</span><span>the apprentice in 12 hours complete the (100-60)----> 40%

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x hours------------------------------------> 100%
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the answer is
30 hours

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How many cubes of side 2cm can be fitted into a box 12 cm long, 8cm wide and 4cm high?

kogti [31]

Answer:

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3 years ago

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Jake is buying a piece of recycled art from Luna. He started by giving her $50 and promised to pay her $5 a week until he pays t

garri49 [273]

Answer: $t = 50 + 5 w$

Step-by-step explanation:

Here w shows the number of weeks and t shows the total amount in w weeks.

Since, the initial amount he paid to her = $ 50

After that he paid $ 5 per week.

Thus, the total extra amount he paid = 5 w

⇒ The total amount he paid to her = 50 + 5 w

⇒ t = 50 + 5 w

Which is the required relation between the total amount paid(t) and the number of weeks (w) Jake will take to pay Luna.

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HELP YOU WILL GET BRAINLIEST

dezoksy [38]

Answer:

60π

Step-by-step explanation:

2π(3 × 7 ) + 2π (3)^2

Distribute: 2x3x7 and 2x3^2

42π + 18π

That gives 60π.

7 0

3 years ago

Let u = (1, k) and v = (2, 1). Find k such that The distance between u and v is 1 u and v are orthogonal The angle between u and

SVETLANKA909090 [29]

Answer:k=1,k=-2,k= $8\pm 5\sqrt{3}$

Step-by-step explanation:

Given two vectors

$u=1\hat{i}+k\hat{j}$

$v=2\hat{i}+1\hat{j}$

$\left ( i\right )$ Distance between them is given by

$|u-v|=\sqrt{\left ( 2-1\right )^2+\left ( 1-k\right )^2}=1$

squaring both side

$1^{2}+\left ( 1-k\right )^2=1$

$k^2-2k+1=0$

$\left ( k-1\right )^2=0$

k=1

$\left ( ii\right )$

angle between u and v is 90 i.e. orthogonal

$u\dot v=0$

$\left ( 1\hat{i}+k\hat{j}\right )\dot \left ( 2\hat{i}+1\hat{j}\right )$ =0

2+k=0

k=-2

$\left ( iii\right )$

angle between u & v is $\frac{\pi }{3}$

$u\dot v=|u||v|cos\left (\frac{\pi }{3}\right )$

$|u|=\sqrt{1^2+k^2}$

$|v|=\sqrt{2^2+1^2}$

$2+k=\left ( \sqrt{1+k^2}\right )\left ( \sqrt{5}\right )cos\left ( \frac{\pi }{3}\right )$

$\left ( 4+2\right )^2=\left ( 1+k^2\right )5$

$k^2-16k-11$ =0

k= $8\pm 5\sqrt{3}$

7 0

3 years ago