Answer:
12 square inches.
Step-by-step explanation:
Please consider the complete question.
A model ship has a mast that is 7 inches tall. A right triangular sail goes from the top of the mast to 1 inch from the bottom of the mast. The length of the base of the sail is 4 inches. The height of the sail is along the mast. Find the area of the sail.
The sail will form a right triangle with respect to mast, whose height is 6 inches and base is 4 inches as shown in the diagram.
The area of the sail will be equal to area of triangle.
![\text{Area of triangle}=\frac{1}{2}(\text{Base}\times\text{Height})](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20triangle%7D%3D%5Cfrac%7B1%7D%7B2%7D%28%5Ctext%7BBase%7D%5Ctimes%5Ctext%7BHeight%7D%29)
![\text{Area of triangle}=\frac{1}{2}(4\text{ in}\times6 \text{in})](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20triangle%7D%3D%5Cfrac%7B1%7D%7B2%7D%284%5Ctext%7B%20in%7D%5Ctimes6%20%5Ctext%7Bin%7D%29)
![\text{Area of triangle}=2\text{ in}\times 6 \text{in})](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20triangle%7D%3D2%5Ctext%7B%20in%7D%5Ctimes%206%20%5Ctext%7Bin%7D%29)
![\text{Area of triangle}=12 \text{ in}^2](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20triangle%7D%3D12%20%5Ctext%7B%20in%7D%5E2)
Therefore, the area of the sail is 12 square inches.
Answer:
5.497787144 miles
Step-by-step explanation:
Remember that circumference of a circle can be calculated with:
![2\pi r](https://tex.z-dn.net/?f=2%5Cpi%20r)
r=radius
We also know that the radius is just a half of the diameter.
So, the radius of the track is (1/2)/2=1/4 miles
Now, use the circumference of a circle formula to find how much she runs in 1 lap.
![2\pi (\frac{1}{4} )](https://tex.z-dn.net/?f=2%5Cpi%20%28%5Cfrac%7B1%7D%7B4%7D%20%29)
Simplify
![\frac{\pi }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B2%7D)
This is how much she runs in 1 lap.
Multiply by 3.5 for 3 and a half laps.
![\frac{\pi }{2}*3.5](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B2%7D%2A3.5)
The answer is around 5.497787144 miles.
Answer:
B
Step-by-step explanation:
I just took test
please make me Brainliest
Answer:
it is G.33
brainliest plz
Step-by-step explanation:
An obtuse triangle is formed if there is an angle that has a measure of more than 90 degrees. You can determine if an obtuse angle is formed by two sides of a triangle if it meet this condition:
Let a and b be two sides of a triangle and c is the longest side:
![a^{2} + b^{2} \ \textless \ c^{2}](https://tex.z-dn.net/?f=%20a%5E%7B2%7D%20%20%2B%20%20b%5E%7B2%7D%20%20%5C%20%5Ctextless%20%5C%20%20%20c%5E%7B2%7D%20)
So taking your given:
![10^{2} + 15 ^{2}](https://tex.z-dn.net/?f=%2010%5E%7B2%7D%20%20%2B%20%2015%20%5E%7B2%7D%20)
<
![c^{2}](https://tex.z-dn.net/?f=%20c%5E%7B2%7D%20)
100 + 225 <
![c^{2}](https://tex.z-dn.net/?f=%20c%5E%7B2%7D%20)
325 <
![c^{2}](https://tex.z-dn.net/?f=%20c%5E%7B2%7D%20)
To get the smallest possible number, just get the square root of both sides:
![\sqrt{325}](https://tex.z-dn.net/?f=%20%5Csqrt%7B325%7D%20)
<
![\sqrt{c^{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%7Bc%5E%7B2%7D%20%7D%20)
18.03 < c
So your smallest possible whole number is 19