The answers to the blanks are
1. 600,
2. 120,
3. 120,
4. 180.
Explanation:
- The fence means perimeter around the court. So a tennis court's perimeter is 600 feet fence. The perimeter of a rectangle is 2 times the sum of the rectangle's length and the rectangle's width.
- It is given that length equals 60 more than width i.e. l = w + 60, where l is the length of the court and w is the width of the court.
- The perimeter of a court = 600 = 2 (l + w) = 2l + 2w = 2 (w +60) + 2w, this becomes, 2w + 120 + 2w = 600; 4w = 480, w = 120.
- Since l = w + 60, l = 120 + 60 = 180. So length of a court is 180 feet and the width of a court is 120 feet.
The answer is 7 and 4/ 7+4+11 and 7-4=3!
Answer:
![\large\boxed{V=\dfrac{49\pi}{3}\ in^3}\approx51.29\ in^3}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BV%3D%5Cdfrac%7B49%5Cpi%7D%7B3%7D%5C%20in%5E3%7D%5Capprox51.29%5C%20in%5E3%7D)
Step-by-step explanation:
The formula of a volume of a cone:
![V=\dfrac{1}{3}\pi r^2H](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2H)
r - radius
H - height
We have
r = (7 : 2) in = 3.5 in
H = 4 in
Substitute:
![V=\dfrac{1}{3}\pi(3.5)^2(4)=\dfrac{1}{3}\pi(12.25)(4)=\dfrac{49\pi}{3}\ in^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%283.5%29%5E2%284%29%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%2812.25%29%284%29%3D%5Cdfrac%7B49%5Cpi%7D%7B3%7D%5C%20in%5E3)
![\pi\approx3.14\\\\V\approx\dfrac{(49)(3.14)}{3}\approx51.29\ in^3](https://tex.z-dn.net/?f=%5Cpi%5Capprox3.14%5C%5C%5C%5CV%5Capprox%5Cdfrac%7B%2849%29%283.14%29%7D%7B3%7D%5Capprox51.29%5C%20in%5E3)
La medida aproximada del lado faltante según el teorema de desigualdad de triángulos es:
- más de 12 cm y menos de 48 cm
De acuerdo con el teorema de la desigualdad del triángulo que establece que;
La suma de la longitud de 2 lados cualesquiera de un triángulo debe ser mayor que el tercer lado.
Dado que :
a = 30 cm; b = 18 cm; c =?
Basado en el teorema de la desigualdad del triángulo;
- c debe ser <(a + b)
- c <(30 + 18); c <48 cm
- También c> (a - b)
- c> (30 - 18); c> 12 cm
Por lo tanto, el lado faltante debe ser menor que 48 y mayor que 12.
Más información: brainly.com/question/18345497?referrer=searchResults
Answer:
![t = 3.673900](https://tex.z-dn.net/?f=t%20%3D%203.673900)
Step-by-step explanation:
Given
-- degree of freedom
![Area = 0.005](https://tex.z-dn.net/?f=Area%20%3D%200.005)
Required
Determine the t-value
The given parameters can be illustrated as follows:
![P(T > t) = \alpha](https://tex.z-dn.net/?f=P%28T%20%3E%20t%29%20%3D%20%5Calpha)
Where
![\alpha = 0.005](https://tex.z-dn.net/?f=%5Calpha%20%3D%200.005)
So, we have:
![P(T>t) = 0.005](https://tex.z-dn.net/?f=P%28T%3Et%29%20%3D%200.005)
To solve further, we make use of the attached the student's t distribution table.
From the attached table,
The t-value is given at the row with df = 28 and
is 3.673900
Hence, ![t = 3.673900](https://tex.z-dn.net/?f=t%20%3D%203.673900)