Answer:
90 in²
Step-by-step explanation:
The figure's area is that of four right triangles, each with legs of 6 in and 7.5 in. The area of each triangle is half the product of the leg lengths, so is ...
triangle area = (1/2)(6 in)(7.5 in)
Then the area of 4 of those triangles is ...
figure area = 4 · triangle area = 2(6 in)(7.5 in) = 90 in²
Answer:
186 cm
Step-by-step explanation:
Since the bicycle wheel is making a rotation and not a revolution, the bicycle wheel is at one point.
The length of the trace of water left on the floor is simply the circumference of the bicycle wheel
Circumference = 2πR
where R = radius of the bicycle wheel
and π = pie
Circumference = 2 × (22/7) × 30 = 188.57143 cm
Multiply $75 by 1.1 because it includes the tax and the cake. you should get $82.50.
Answer:
D. 90tan50 degrees
Step-by-step explanation:
The tree is known as the opposite leg of the 50 degree angle, and the given 90 feet is the adjacent leg. Here, we use tan because SOHCAHTOA can help us remember tan means opposite over adjacent. Then, we do tan50 degrees = (the height of the tree)/90. To solve, multiply tan50 by 90. This gives us the height of the tree = 90tan50 degrees.
Answer:

Step-by-step explanation:
<u>Given expression</u>:

To factor a quadratic in the form
, first find two numbers that multiply to
and sum to
:


Two numbers that multiply to -36 and sum to 5 are: 9 and -4
Rewrite b as the sum of these two numbers:

Factorize the first two terms and the last two terms separately:

Factor out the common term (2x + 3):

Therefore:
