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Novosadov [1.4K]
3 years ago
11

A bird traveled 4 miles north before stopping to rest. The bird then flew 2,640 yards south in search of food. Finally, it flew

5 more miles north. How many yards was it from its starting point?
Mathematics
1 answer:
ra1l [238]3 years ago
8 0
7 and 1/2 mile because 2,640=1.5 miles
4-1.5=2.5+5=7.5
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At the car show Inez saw a truck wheel shaped like a circle with a radius of 3 ft. She wants to know the area of the truck wheel
Nadusha1986 [10]

Answer:

28.27ft^2

Step-by-step explanation:

To solve this problem, we can use the area of a circle formula:

A=\pi r^2

<em>A = area</em>

<em>r = radius</em>

Lets plug the values into the equation:

A=\pi (3^2)     Calculate 3^2

A=\pi (9)       Multiply \pi and 9 together

A=28.27

The area of the truck wheel is 28.27ft^2

3 0
3 years ago
A rectangle has an AREA of 36in2​ and the height measures 9 in. What is the base measurement?
RSB [31]
Area =bh
36in2=b(9)
——— ——
9 9

36
—— =4
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7 0
2 years ago
Find the general solution of x'1 = 3x1 - x2 + et, x'2 = x1.
Ann [662]
Note that if {x_2}'=x_1, then {x_2}''={x_1}', and so we can collapse the system of ODEs into a linear ODE:

{x_2}''=3{x_2}'-x_2+e^t
{x_2}''-3{x_2}'+x_2=e^t

which is a pretty standard linear ODE with constant coefficients. We have characteristic equation

r^2-3r+1=\left(r-\dfrac{3+\sqrt5}2\right)\left(r+\dfrac{3+\sqrt5}2\right)=0

so that the characteristic solution is

{x_2}_C=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}

Now let's suppose the particular solution is {x_2}_p=ae^t. Then

{x_2}_p={{x_2}_p}'={{x_2}_p}''=ae^t

and so

ae^t-3ae^t+ae^t=-ae^t=e^t\implies a=-1

Thus the general solution for x_2 is

x_2=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}-e^t

and you can find the solution x_1 by simply differentiating x_2.
7 0
3 years ago
What is 0.7, 47.9, 18.08, 125.023, 0.126, and 150.075 in word form?
mario62 [17]
Seven tenths Forty seven and nine tenths Eighteen and eight one hundredths One hundred twenty five and twenty three thousandths One hundred and twenty six thousandths One hundred fifty and seventy five thousandths
7 0
3 years ago
PLEASE HELP WITH SIGNIFICANT FIGURES *AWARDING BRAINEST ANSWER* ASAP
marishachu [46]
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4 0
3 years ago
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