By definition the area of a regular heptagono is given by:
Area = ((7) * (L) * (ap)) / (2)
Where
L: Side of heptagono
ap: apotema
Substituting the values we have
Area = ((7) * (12) * (8)) / (2) = 336
Area = 336units ^ 2
answer
336units ^ 2
Answer: 77/95 chance
Step-by-step explanation: There are 8+7+6+5+4+3+2+1 = 36 choices that differ by 12 or more, so the probability they differ by 12 or more is 36/190 = 18/95. So the probability that they do not differ by 12 or more is 1 - 18/95 = 77/95. Brainliest please?
Answer:
1. a^3/6 (15)^{1/2}
2.
a. a = 12 cm
b. V = 384 cm^3
Step-by-step explanation:
1. The volume of rectangular pyramid is given by:
![V=\frac{1}{3}bh](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7Dbh)
b: base area = a^2
h: height
c: side edge = 2a
"h" can be calculated by using the Pitagora's theorem:
![h=\sqrt{(2a)^2-(\frac{a}{2})^2}=\sqrt{4a^2-\frac{a^2}{4}}\\\\h=\sqrt{15}\frac{a}{2}](https://tex.z-dn.net/?f=h%3D%5Csqrt%7B%282a%29%5E2-%28%5Cfrac%7Ba%7D%7B2%7D%29%5E2%7D%3D%5Csqrt%7B4a%5E2-%5Cfrac%7Ba%5E2%7D%7B4%7D%7D%5C%5C%5C%5Ch%3D%5Csqrt%7B15%7D%5Cfrac%7Ba%7D%7B2%7D)
The, the volume is:
![V=\frac{1}{3}(a^2)(\sqrt{15}\frac{a}{2})=\frac{a^3}{6}\sqrt{15}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%28a%5E2%29%28%5Csqrt%7B15%7D%5Cfrac%7Ba%7D%7B2%7D%29%3D%5Cfrac%7Ba%5E3%7D%7B6%7D%5Csqrt%7B15%7D)
2.
a. The side base is calculated by using the Pitagora's theorem again:
![\frac{a}{2}=\sqrt{(10cm)^2-(8cm)^2}=6cm\\\\a=12cm](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B2%7D%3D%5Csqrt%7B%2810cm%29%5E2-%288cm%29%5E2%7D%3D6cm%5C%5C%5C%5Ca%3D12cm)
b. The volume is given by:
![V=\frac{1}{3}(12cm)^2(8cm)=384\ cm^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%2812cm%29%5E2%288cm%29%3D384%5C%20cm%5E3)
Answer:
-13.50
Step-by-step explanation:
2.50 x -4 = -10
-3.50 + -10 = <u>-13.50</u>
Answer:
The slope between (5, 13) and (9, 10) is:
Step-by-step explanation:
Given the points
Finding the slope between (5, 13) and (9, 10)
![\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![m=\frac{10-13}{9-5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B10-13%7D%7B9-5%7D)
![m=-\frac{3}{4}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B3%7D%7B4%7D)
Therefore, the slope between (5, 13) and (9, 10) is: