Answer:
m<B = 62°
Step-by-step explanation:
Given that ∆ABC is congruent to ∆TUV, it follows that their corresponding angles are equal to each other. Therefore:
m<B = m<U
m<B = (3y + 2)°
m<U = (4y - 18)°
Thus,
3y + 2 = 4y - 18
Collect like terms
18 + 2 = 4y - 3y
20 = y
y = 20
m<B = (3y + 2)°
Plug in the value of x
m<B = 3(20) + 2
m<B = 60 + 2
m<B = 62°
Answer:
The answer is .4sqr ft
Step-by-step explanation:
That board is 2 feet by 4 feet:
Area = 2 x 4 = 8 sq. ft.
The hole will have an area that is 5% of this value.
8 sq. ft x 0.05 = 0.4 sq. ft.
Answer:
0.4 sq. ft.
Answer:
D
Step-by-step explanation:
I'm not entirely sure if I'm correct but from what I gathered I'm pretty sure it's D.
He went 90 miles, 180 minutes. explanation: there are 4 , 15 minute intervals in an hour. 4 x 15 is 30. so 30 miles an hour. you multiply 30 miles x 3 hours and get 90 miles. then there’s 60 minutes in an hour and 60 x 3 is 180.
Answer:
![\pi](https://tex.z-dn.net/?f=%5Cpi)
Step-by-step explanation:
Given
![Curve\ length = d](https://tex.z-dn.net/?f=Curve%5C%20length%20%3D%20d)
Required
Number of curve length needed to round the circle
The length round the circle is the circumference of the circle.
To get the number of curves (n), we simply divide the circumference by the length of each curve.
i.e.
![n = \frac{Circumference}{Curve\ length}](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7BCircumference%7D%7BCurve%5C%20length%7D)
Circumference is calculated as:
![Circumference = \pi d](https://tex.z-dn.net/?f=Circumference%20%3D%20%5Cpi%20d)
So, we have:
![n = \frac{\pi d}{d}](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7B%5Cpi%20d%7D%7Bd%7D)
Simplify fraction
![n = \pi](https://tex.z-dn.net/?f=n%20%3D%20%5Cpi)
<em>Hence, </em>
<em> of the curve length will fit the circle</em>