263.27 m^2
rectangle : 15 x 10 = 150 m^2
the half circle at the top has a diameter of 6m. therefore, it’s radius is 3m. if it is cut in half, the part removed from the triangle height is 3m. therefore, the height of the triangle is 35 -15 = 20; 20 - 3 = 17. the height of the triangle is 17. the triangle area formula is a = 1/2(bh).
a = 1/2 (10)(17)
a = 1/2 (170)
a = 85 m^2
the circle would be a = πr^2 but divided by 2 bc it’s a half circle
a = π(3)^2
a = π9
a = 28.27 m^2
150 + 85 + 28.27 = 263.27 m^2
Answer: 90 degrees
Step-by-step explanation:
Complementary angles add up to 90 degrees. Since a triangle has 180 degrees total, the other angle is 90 degrees
Answer:
If yall think its a virus well here I downloaded it and here is the worksheet :)
Step-by-step explanation:
Answer:
The answer is "The null hypothesis was rejected".
Step-by-step explanation:
Following are the right-tailed test:
Calculating the null and alternative hypothesis:
![z = \frac{\hat{p} - P_0}{[\sqrt{\frac{P_0 \times (1 - P_0 )}{n}}]}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%5Chat%7Bp%7D%20-%20P_0%7D%7B%5B%5Csqrt%7B%5Cfrac%7BP_0%20%5Ctimes%20%281%20-%20P_0%20%29%7D%7Bn%7D%7D%5D%7D)
![= \frac{0.4267 - 0.3333}{[\sqrt{\frac{(0.3333 \times 0.6667)}{150}}]}\\\\= 2.426](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B0.4267%20-%200.3333%7D%7B%5B%5Csqrt%7B%5Cfrac%7B%280.3333%20%5Ctimes%200.6667%29%7D%7B150%7D%7D%5D%7D%5C%5C%5C%5C%3D%202.426)
Calculating the right-tailed test:
Therefore, we reject the null hypothesis.
This example shows that more than a third of the families own pets in this town.
Answer:
10.4 to nearest tenth.
Step-by-step explanation:
If we draw lines from the centre of the circle to each vertex of the hexagon we get 6 equilateral triangles of side length 2.
Altitude of each triangle = sqrt(2^2 - 1^2)
= sqrt3.
So the area of 1 triangle = 1/2 * 2 * sqrt3
= sqrt3
Therefore the area of the hexagon = 6 * sqrt3
= 6sqrt3
= 10.3923
