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ella [17]
3 years ago
11

Can someone help me with this question please!!!!!

Mathematics
1 answer:
faltersainse [42]3 years ago
6 0
From the equation, it looks like we can set up a triangle like this.  One side is x and the other is x + 20 because the northbound car traveled 20 miles farther.  The hypotenuse is 100 because they were 100 miles apart.

Next, we can use the Pythagorean Theorem to solve for x:

a² + b² = c²
x² + (x + 20)² = 100²

This simplifies to:

x² + x² + 40x + 400 = 10000
2x² + 40x = 9600
2x² + 40x - 9600 = 0

After that, we can divided each side by 2:

x² + 20x - 4800 = 0

Next, we have to factor:

(x - 60)(x + 80) = 0
x = 60, -80

Since we know that distance can't be negative, 60 is the valid answer in this case.

x = 60
x + 20 = 80

Using this information, we know that the westbound car traveled 60 miles and the northbound car traveled 80 miles.

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Does each function describe exponential growth or decay?
Aleksandr [31]
<h3>Answer: Only first two are exponential growth function and last three functions are exponential decay functions.</h3>

Step-by-step explanation: We need to describe exponential growth or decay for the given functions.

The standard exponential function equation is

y=a(b)^x.

Where a is the initial value and b is the growth factor.

Note: If value of b > 1, it would be an exponential growth and if b < 1, it would be an exponential decay.

Let us check them one by one.

y=(1.008^{1/12}})^{12t} => y=(1.008^})^{1/12\times{12t} }

=> y= (1.008)^t.

Value of b is 1.008 > 1, therefor it's an exponential growth function.

y=250(1+0.004)^t, also have b>1 therefor it's an exponential growth function.

All other functions has b values less than 1, therefore only first two are exponential growth function and last three functions are exponential decay functions.



5 0
3 years ago
What is the value of x of a complementary angle that is 10 and 2x
Usimov [2.4K]
Complementary angles together form a 90 degree angle. I don’t understand the question to well, but if two angles are next to each other and one of them is ten degrees, the other angle would be 80 is Together they form a right angle. Does my explain make sense? Sorry I hope this helps
7 0
3 years ago
What is the area of the drawing of the trophy shown?​
marishachu [46]

Answer:

The area of the drawing is 12 Squares

8 0
2 years ago
A cylinder has a base diameter of 8ft and a height of 20ft. What is its volume in cubic ft, to the nearest tenths place?
jenyasd209 [6]

Answer:

4022.9

Step-by-step explanation:

Volume of a cylinder is given by cross sectional area multiplied by height hence

V=Ah

Since the cross sectional area of

A=\pi r^{2}

Substituting the formula for A into formula for volume then

V=Ah=\pi r^{2}h

Substituting 8ft for r and 20 ft for h then

V=Ah=\pi 8^{2}\times 20=4022.8571428571\ ft^{3}\approx 4022.9\ ft^{3}

Rounded off to the nearest tenths, the volume is equivalent to

4022.9

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3 years ago
leon deposited $30,000 in a bank which paid 2% interest per year. after 1 year, leon withdraw all his money including the intere
Tanzania [10]
I believe that the It is 30,600
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3 years ago
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