Answer:
1 7/20
Step-by-step explanation:
You want to add 3/4+3/5, but they need to have the same denominator. A common factor for 4 and 5 is twenty, so multiply 3/4 by 5/5 and 3/5 by 4/4. This will give you 15/20 + 12/20. You can add this to get 27/20, or 1 7/20 as a mixed number
Answer:
36.9 degrees
Step-by-step explanation:
This problem can be solved by drawing a right triangle and doing trigonometry. We can draw our triangle with a height of 51 and a base of 68. In order to find the angle from the ground to the sun we can use arctangent (tan^-1). Since tan(angle)=opposite/adjacent we can find the angle by doing angle=tan^-1(51/68)
A. The Least common multiple between 6 and 8 is 24, so you have to buy 4 packages of pens and 3 packages of pencils.
2. Since you bought 24 pens and 24 pencils, you have 48 pens and pencils in all
Answer:
c. 441ft^2
Step-by-step explanation:
Area is height times length and since it's a square, safe to say that the sides are equal in length. So square root both of the given areas of the 2 square:
= 29
= 20
Now u have side b and c of the triangle, it's a right triangle so use the Pythagorean theorem a^2 + b^2 = c^2
a^2 + b^2 = c^2
a^2 + 20^2 = 29^2
a^2 + 400 = 841
subtract 4 from both sides
a^2 = 441
square root both sides

a = 21
Now the side a of the triangle is also a side of the small square therefore
21^2 = 441