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2 years ago

What is the area of the object Below?

Mathematics

2 answers:

adelina 88 [10]2 years ago

5 0

7 x 10 = 70

4 x 8 = 32

32 + 70 = 102

102 is your answer. :-)

denis23 [38]2 years ago

4 0

Split the image into 2 rectangles
so
A = (8 x 4) +(10 x 7)
A = 32 + 70
A = 102

answer
B.
102 sq cm

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If f(x)=x-1/3 and g(x)=3x+1, what is (f o g)(x)?

BlackZzzverrR [31]

Answer:

$3x+\frac{2}{3}$

Step-by-step explanation:

$f(x)=x-\frac{1}{3}$

$g(x)=3x+1$

Hence, $(f o g)(x)=f(3x+1)$

But, $f(3x+1)=(3x+1)-\frac{1}{3}$

Simplifying,

$f(3x+1)=3x+(1-\frac{1}{3})$

= $f(3x+1)=3x+(\frac{3-1}{3})$

= $f(3x+1)=3x+(\frac{2}{3})$

Hence, $(f o g)(x)=3x+(\frac{2}{3})$

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3 years ago

On a cold day, hailstones fall with a velocity of 2i − 6k m s−1 . If a cyclist travels through the hail at 10i m s−1 , what is t

Paraphin [41]

Answer:

The velocity of the hail relative to the cyclist is $V_{hc}=-8\hat{i}-6\hat{k}$

The angle at which hailstones falling relative to the cyclist is $\theta = 36.86^\circ$

Step-by-step explanation:

Given : On a cold day, hailstones fall with a velocity of $2\hat{i}-6\hat{k}\text{ m/s}$ . If a cyclist travels through the hail at $10\hat{i} \text{ m/s}$ .

To find : What is the velocity of the hail relative to the cyclist and At what angle are the hailstones falling relative to the cyclist?

Solution :

The velocity of the hailstone falls is $V_h=2\hat{i}-6\hat{k}\text{ m/s}$

The velocity of the cyclist travels through the hail is $V_c=10\hat{i} \text{ m/s}$

The velocity of the hail relative to the cyclist is given by,

$V_{hc}=V_h-V_c$

Substitute the value in the formula,

$V_{hc}=2\hat{i}-6\hat{k}-10\hat{i}$

$V_{hc}=-8\hat{i}-6\hat{k}$

So, The velocity of the hail relative to the cyclist is $V_{hc}=-8\hat{i}-6\hat{k}$

Now, The angle of hails falling relative to the cyclist is given by

$\theta = \tan^{-1}(\frac{-6}{-8})$

$\theta = \tan^{-1}(\frac{3}{4})$

$\theta = 36.86^\circ$

So, The angle at which hailstones falling relative to the cyclist is $\theta = 36.86^\circ$

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3 years ago

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jonny [76]

Answer:

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Step-by-step explanation:

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2 years ago

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yaroslaw [1]

when we solve the equation it will become
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svetlana [45]

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3 years ago

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