Answer:
1/5 chance
cause there are 5 people in the family and there is 1 brother and 1 spot for the front of the line
Step-by-step explanation:
Answer:
18.87 square cm.
Step-by-step explanation:
The area of the rectangle will be (4 + 4) * 4, since the length of the rectangle would be the diameter of the circle, and the width of the rectangle would be the radius. (4 + 4) * 4 = 8 * 4 = 32 square cm.
Then, we can calculate the area of the semicircle. The area of a circle is pi * r^2, so the area of a semicircle will be half of that. pi * (4^2) / 2 = pi * 16 / 2 = 8pi. 8 * 3.14159265 = 25.1327412 square cm.
The shaded area of the middle of the shape will then be 32 - 25.1327412 = 6.8672588 square cm.
The two triangles will have the same area. Their bases will be 14 minus the diameter of the circle, then divide that by 2 to get each separate base. 14 - 8 = 6 / 2 = 3. The heights of the triangles will be the radius of the circle, or 4 cm.
1/2 * 3 * 4 = 1/2 * 12 = 12/2 = 6. That is the area of one triangle, so the area of both triangles would be 6 * 2 = 12 square cm.
6.8672588 + 12 = 18.8672588, or 18.87 square cm.
Hope this helps!
Answer:
6. <u> (2x - 1) </u>
(3x + 2)
8. <u> y - 3 </u>
y² - 3y + 9
Step-by-step explanation:
6. <u> 2x² + 9x - 5</u>
3x² + 17x + 10
= <u>(2x - 1) (x + 5)</u>
3x² + 17x + 10
= <u>(2x - 1) (x + 5)</u>
(3x + 2) (x + 5)
= <u> (2x - 1) </u>
(3x + 2)
8. <u>y² - 9 </u>
y³ + 27
= <u> (y + 3) (y - 3)</u>
y³ + 27
= <u> (y + 3) (y - 3) </u>
(y+3) (y² - 3y + 9)
= <u> y - 3 </u>
y² - 3y + 9
Step-by-step explanation:
U2 = 7
U1 = 35/2
r = 7 ÷ 35/2
r = 7 × 2/35
r = 14/35
r = 2/5
Answer:
4 Chickens, 3 Oxen
Step-by-step explanation:
Given:
Known:
- Chickens have 2 legs
- Oxens have 4 legs
Solution:
- 4 Chickens have a total of 8 legs (2 + 2 + 2 + 2)
- 3 Oxen have a total of 12 legs (4 + 4 + 4)
- There are a total of 20 legs in total between the chickens and oxens.
