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3 years ago

Write a # where the value of the 4 in the thousands place is x1/10 the # 854,093

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

6 0

We are to find the place value of 4 in

854,093

Firstly, we can rewrite it

$854,093=800000+50000+4000+000+90+3$

we can see that 4000 is added

so, the place value of 4 in 854,093 is

4000........Answer

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Use the diagram of the right triangle above and round your answer to the nearest hundredth.

Yakvenalex [24]

Answer: a = 23 ft.

Reasoning:

The question asks for the value of the leg a, given the tangent of the opposite angle and the length of the adjacent-leg, b.

The ratio that relates the three parameters is:

tan(A) = opposite-leg / adjacent-leg = a / b = a / 23 ft

Solve for a, wich is the unknown:

a = 23ft * tan(A) = 23ft * 1.0 = 23 ft

Answer: 23 ft.

7 0

2 years ago

If a cannonball is shot directly upward with a velocity of 160 ft per second, its height above the ground after t seconds is gi

Contact [7]

Step-by-step explanation:

If a cannonball is shot directly upward with a velocity of 160 ft per second. Its height as a function of time is given by :

$h(t)=160t-16t^2$ .......(1)

t is in seconds

(a) Velocity is given by :

$v=\dfrac{dh}{dt}\\\\v=\dfrac{d(160t-16t^2)}{dt}\\\\v=(160-32t)\ ft/s$

Acceleration is given by :

$a=\dfrac{dv}{dt}\\\\a=\dfrac{d(160-32t)}{dt}\\\\a=-32\ ft/s^2$

(b) For maximum height put $\dfrac{dh}{dt}=0$

i.e.

$160-32t=0\\\\t=5\ s$

Put t = 5 s in equation (1). So,

$h(5)=160t-16t^2\\\\h(5)=160(5)-16(5)^2\\\\h(5)=400\ ft$

h(t) = 0

$160t-16t^2=0\\\\t(160-16t)=0\\\\t=0,t=10\ s$

Hence, this is the required solution.

4 0

2 years ago

Can't quite figure out the limit problem

alisha [4.7K]

Use the squeeze theorem; if

1 - x ²/4 ≤ u(x) ≤ 1 + x ²/2,

then taking the limit on each part as x approaches 0 gives

1 ≤ lim [x → 0] u(x) ≤ 1

and so the limit of u(x) as x → 0 is simply 1.

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2 years ago

Karen is a software saleswoman. Her base salary is $2100, and she makes an additional $50 for every copy of English is Fun she s

Shalnov [3]

Karen has a base salary that is $2100 and does not depends on how many copies she sells.

Additional to the base salary, she gets $50 for each copy she sells, so we can write this additional salary as 50*N, being N the number of copies she sells.

Then, we can write the total pay P as:

$P=2100+50N$

Then, if N=22, we can calculate the total pay as:

$P(22)=2100+50\cdot22=2100+1100=3200$

Answer:

The equation relating P and N is P=2100+50N.

The total pay when she sells 22 copies is $3,200.

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10 months ago

Which of the following would you use to measure the wavelength of this longitudinal wave? ( This is Physics, but nobody answers

Mashcka [7]

Letter c measures one wave length

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2 years ago