There are 5 sides in this shape.
(5-2)(180) = 540. There is 540 degrees in this shape.
111 + c + (c + 10) + 120 + 91 = 540
111 + 2c + 10 + 120 + 91 = 540
2c = 208
c = 104
answer: 104
Answer:
D. 251/365
Step-by-step explanation:
Answer:
the answer is c
Step-by-step explanation:
the shape only moved 4 for the left and 1 for down
Answer:
She can only make 5/6 of her recipe with the amount of milk that she has.
Step-by-step explanation:
Some data of this problem is missing, the data missing is:
Her recipe calls for 3/4 of a pint of milk and she only has 5/8 of a pint of milk.
Now, to know what's the portion she can do with that amount we need to divide the amount of milk she has by the total amount she needs:
÷
When we divide we turn the second fraction upside down (the numerator becomes the denominator and viceversa) and multiply, thus:
÷
×![\frac{4}{3} =\frac{20}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%20%3D%5Cfrac%7B20%7D%7B24%7D)
If we simplify this last expression we have:
![\frac{20}{24}=\frac{10}{12} =\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B24%7D%3D%5Cfrac%7B10%7D%7B12%7D%20%20%3D%5Cfrac%7B5%7D%7B6%7D)
Thus, she can only make 5/6 of her recipe with the amount of milk that she has.
<em>Note: In case the data missing is different, you can apply this same procedure with the fractions you have. </em>
Answer:
r = 16 units
Step-by-step explanation:
From the figure attached,
AB is the tangent drawn from a point A to the circle C.
BC = r [Radius of the circle]
Length of AC = (18 + r)
AB = 30
By the property of a tangent drawn to a circle,
"Radius of a circle and tangent are perpendicular to each other"
AB ⊥ BC
By applying Pythagoras theorem in ΔABC,
AB² + BC² = AC²
(30)² + r² = (r + 18)²
900 + r² = r² + 36r + 324
36r = 900 - 324
r = ![\frac{576}{36}](https://tex.z-dn.net/?f=%5Cfrac%7B576%7D%7B36%7D)
r = 16 units