9514 1404 393
Answer:
8
Step-by-step explanation:
The external angle is half the difference of the intercepted arcs.
(2x +7) = (1/2)(78 -32)
2x +7 = 23 . . . . . simplify
2x = 16 . . . . . . . . subtract 7
x = 8 . . . . . . . . . . divide by 2
Given
![\frac{88}{90}](https://tex.z-dn.net/?f=%5Cfrac%7B88%7D%7B90%7D)
So,
![\frac{88}{90}=\frac{2\cdot44}{2\cdot45}=\frac{44}{45}](https://tex.z-dn.net/?f=%5Cfrac%7B88%7D%7B90%7D%3D%5Cfrac%7B2%5Ccdot44%7D%7B2%5Ccdot45%7D%3D%5Cfrac%7B44%7D%7B45%7D)
So, the simplest form of 88/90 is 44/45
Lets call x how wide it is, and write the area equation:
area = width*length
a = (x)(x + 5) = 20000
expand it:
x^2 + 5x = 20000
make a quadratic trinomial:
x^2 + <span>5x - 20000 = 0
</span>lets apply the general quadratic formula to solve:
x = (-5 +- √(25 + 80000))/2
x = (-5 +- 282.89<span>)/2
we take the positive solution:
</span>x = (-5 + 282.89<span>)/2
</span>x = 138.94
therefore the rectangle width is 138.94 m and <span>143.94 m long</span>
Answer:
19 hours.
Step-by-step explanation:
T = -14 -76 + 19h
The -14 is the cost for tolls, and the -76 is the cost for gas. The 19h is the amount she'll get per hour if she makes $19/hour. And T is the total profit
We want to solve for h if T = 260
260 = -14 -76 + 19h
+14 +14
274 = -76 +19h
+76 +76
350 = 19h
/19 /19
18.42 = h
She must work 19 hours.
Hope this helps!
Answer:
-5.144
Step-by-step explanation:
9.430
-4.286
you would line the decimals up, and then susbtract
6 can't go into 0 so you borrow and get 4 from 10-6
then you subtract 2-8, which you can't do so you borrow again and have 12-8=4
then you go 3-2 to get 1
then you go 9-4 to get 5
but you have to add a negative sign because the bigger number is negative