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3 years ago

Please help me with these questionsAny help will be appreciated.

Mathematics

2 answers:

satela [25.4K]3 years ago

7 0

Answer:

Step-by-step explanation:

28) Perimeter = 10 + 2 + (10 -2) + 3 + (8-2) + 1 + 8 + (1+3+2)

= 10 + 2 + 8 + 3 + 6 + 1 + 8 + 6

= 44 cm

29) Area = Area of upper block + area of middle block + area of the down block

= (10 * 2) + (2*3) + (1*8)

= 20 + 6 + 8

= 34 cm²

saul85 [17]3 years ago

4 0

Answer:

f5ctctvvytvyvyvububub

Step-by-step explanation:

xrctcc5f5

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A man starts walking north at 4 ft!s from a point . five minutes later a woman starts walking south at 5 ft!s from a point 500 f

damaskus [11]

Answer:

ds/dt = 6.98 ft/s

Step-by-step explanation:

- The speed of man due north Vm = 3 ft/s

- The speed of woman due south Vw = 4 ft/s

- Woman starts walking 5 mins later than man

Find:

At what rate are the people moving apart 15 min after the woman starts walking?

Solution:

- The total time for which the man is walking due north from P, is Tm:

Tm = 5 + 15 = 20 mins

- The total distance traveled by man in Tm mins is:

Dm = Tm*Vm

Dm = 20*60*3

Dm = 3,600 ft

- The total time for which the woman is walking due south from 500 ft due east from P, is Tw:

Tw = 15 = 15 mins

- The total distance traveled by man in Tw mins is:

Dw = Tw*Vw

Dw = 15*60*4

Dw = 3,600 ft

- The displacement between man and woman at any instance is (s) which can be related by pythagoras theorem as follows:

s^2 = (dm + dw)^2 + 500^2

Where, dm : Distance travelled by man at any time Tm

dw : Distance travelled by woman at any time Tw

- Differentiate s with respect to t:

2s*ds/dt = 2*(dm + dw)*(Vm + Vw)

s*ds/dt = (dm + dw)*(Vm + Vw)

ds/dt = [ (dm + dw)*(Vm + Vw) ] / s

- Evaluate the rate of separation of man and woman ds/dt by evaluating at instance Tm = 20 mins and Tw = 15 mins. We have:

ds/dt = [ (Dm + Dw)*(Vm + Vw) ] / sqrt ( (Dm + Dw)^2 + 500^2 )

- Plug in the values:

ds/dt = [ (3600 + 3600)*(3 + 4) ] / [sqrt ( (3600 + 3600)^2 + 500^2 )]

ds/dt = 6.98 ft/s

4 0

1 year ago

H(x) = x3 - 2x<br> g(x) = 3x<br> Find (h – g)(x)

lord [1]

Answer:

x³ - 5x

Step-by-step explanation:

note (h - g)(x) = h(x) - g(x), thus

h(x) - g(x)

= x³ - 2x - 3x ← collect like terms

= x³ - 5x

4 0

3 years ago

the area of a square vegetable garden is 75 ft squared what is the approximate length of each side of the garden

gizmo_the_mogwai [7]

75ft^2= x^2
√75 = 8.66ft

8 0

3 years ago

If you toss a coin and spin the spinner, what is the probability of landing on heads and spinning blue?

ivann1987 [24]

Answer:

Step-by-step explanation:

There are two sides on a coin, heads and tails. So, the probability of flipping heads is going to be 1/2, as there is one chance out of the two options that you will flip a head. As for spinning blue, there are 3 options that are blue out of the four color options given. So, the probability of spinning blue would be 3/4. Hope this helped :) Take this with a grain of salt, though. It's been a while since I reviewed probabilities.

4 0

3 years ago

Approximate cos (12π/ 13) by using a linear approximation with f (x) = cos x.

Katarina [22]

First pick a value of $x$ close to $\dfrac{12\pi}{13}$ . You should be fine with $x=\pi$ .

The linear approximation of $f(x)$ at $x=c$ is given by

$f(c)\approx f(a)+f'(a)(c-a)$

where $x=a$ is some fixed value close to $x=c$ . You have

$f(x)=\cos x\implies f'(x)=-\sin x$

so

$f\left(\dfrac{12\pi}{13}\right)\approx f(\pi)+f'(\pi)\left(\dfrac{12\pi}{13}-\pi\right)$
$\cos\dfrac{12\pi}{13}\approx\cos\pi-\sin(\pi)\left(-\dfrac\pi{13}\right)$
$\cos\dfrac{12\pi}{13}\approx-1$

The actual value is closer to -0.9709, so the approximation is decent.

4 0

3 years ago

Please help me with these questionsAny help will be appreciated.​

Please help me with these questionsAny help will be appreciated.