Answer:
x=10
Step-by-step explanation:
The two triangles are similar since each triangle is the same shape of right triangle but different sizes. To find x, write a proportion between two equal ratios of side lengths.
Solve by cross multiplying.
28(3x) = 20(4x+2)
84x = 80x + 40
4x = 40
x=10
Answer:
The answer is 120 feet.
Step-by-step explanation:
The area of the field (A) is:
A = w · l (w - width, l - length)
It is known:
A = 12,000 ft²
l = w - 20
So, let's replace this in the formula for the area of the field:
12,000 = w · (w - 20)
12,000 = w² - 20
⇒ w² - 20w - 12,000 = 0
This is quadratic equation. Based on the quadratic formula:
ax² + bx + c = 0 ⇒
In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000
Thus:
So, width w can be either
or
Since, the width cannot be a negative number, the width of the field is 120 feet.
19.25 (tax)
294.25 (total price)
135.75 (money left)
REASONING:
In this word problem it says Anna has 430 dollars. The phone costs 275 dollars. It also says that when she buys the phone, she will have to pay a tax of 7%.
To find how much tax she will pay, we must do [275] x [0.07]
After inputting this into a calculator, you will get 19.25 (tax)
To find the total price, all you have to do is add 19.25 to 275. When you do this, you will get 294.25 dollars (total price)
To find how much money she has left,
430-294.25=135.75 (money left)
both (0,350) and (250,700) fall in the shaded are
and check:
350 *3 = 1050, which is more than 1000 and more than double the amount of hotdogs ( 0)
700 *3 = 2100, so over 1000 and more than double the amount of hotdogs(250*2=500)
so those 2 are correct
