ANSWER
(C)38.16
EXPLANATION
The acute angle given in the right triangle is 27°.
The side length adjacent to the 27° angle is 34 units.
The side length we want to find is x units, which is the hypotenuse of the right triangle.
We use the cosine ratio to obtain:
Solve for x,
to the nearest hundredth.
Answer:
2010
Step-by-step explanation:
If the numbers are x and y, you have ...
x +y = 97
x -y = 37
Adding these two equations gives ...
2x = 134
x = 67
y = 67 -37 = 30
The product is then ...
xy = (67)(30) = 2010
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<em>Alternate solution</em>
There is no need to find the actual numbers. We can go directly to their product.
(x+y)² = x² +2xy +y² = 97² = 9409
(x-y)² = x² -2xy +y² = 37² = 1369
Subtracting the second equation from the first gives ...
4xy = 9409 -1369 = 8040
xy = 8040/4 = 2010
Of course the difference of squares can be factored, so we could compute ...
(97² -37²)/4 = (97 +37)(97 -37)/4 = 134(60)/4 = 134(15) = 2010
Answer is D. 476m2
Because the area of the 3 rectangles combined is 416 meters squared plus the are of the triangle ( each is 30 meters, there are 2 triangles ) that’s 60 meter squared. 416 + 60 = 476 meters2
Answer:
1.375 pounds
Step-by-step explanation:
We want to find how many pounds of candy he has left.
He bought 5 pounds.
He gave out 3 pounds.
He ate 10 ounces. Converting 10 ounces to pounds:
1 ounce = 0.0625 pounds
10 ounces = 10 * 0.0625 = 0.625 pounds
Therefore the amount of candy he has left is:
5 - (3 + 0.625)
= 5 - (3.625)
= 1.375 pounds
