Answer:
<u>The height of the tree is √65 or 8.06 feet</u>
Step-by-step explanation:
Let's use the Pythagorean theorem to find out the height of the tree, this way:
Hypotenuse = length of the ladder = 9 feet
Leg 1 = Distance from the base of the tree to bottom of the ladder = 4 feet
Leg 2 = Height of the tree
Now, replacing with the real values we have:
Leg 2 ² = Hypotenuse² - Leg 1²
Leg 2² = 9² - 4²
Leg 2² = 81 - 16
Leg 2² = 65
√Leg 2² = √65
Leg 2 = √65 or 8.06 feet
<u>The height of the tree is √65 or 8.06 feet</u>
Area of triangle is 1/2 b times h. So do 12 times 10= 120 then do 120/2 which equals 60
Answer:
x=-15/14
Step-by-step explanation:
1/3x+5/6x=-2+3/4
7/6x=-5/4
x=-15/14
Answer: 56.1 (I think & hope lol)
Step-by-step explanation:
The height of the pole is 18 & the height from the top of the pole to the ground is 15. So you’ve got your hypotenuse (18) & ur opposite (from the angle: 15). That gives you Sin(theta). So sin(theta)= 15/18. Divide 15/18 & get .83. Use the inverse of sin (sin^-1(.83)) to get that the angle is 56.1. Hopefully that’s correct
Answer:
70 cans of paint
Step-by-step explanation:
We are told in the question that:
1 box holds = 14 cans of paint
5 boxes =
Cross Multiplying
5 boxes will hold = 5 × 14
= 70 cans of paint
This question, requires that we use Distributive property
Distributive property states that: when 2 factors or numbers are multiplied together the result will be the same as splitting on of the numbers(factors) into two distinct numbers, multiplying both number by the other factor, and adding together both products.
Applying the definition above to solve the question, we would be splitting the number of boxes which is 5 into 2 distinct number = 2 and 3
As , 2 + 3 = 5
Hence, we have:
14 × 5 = 14( 2 + 3)
70 = 28 + 42
70 cans of paint = 70 cans of paint.
The numbers of cans of paint that are in the art supply closet is 70 cans of paint
