Answer:
Step-by-step explanation:
As per the diagram, the triangles on the left and right are similar.
<u>The ratio of corresponding sides is equal:</u>
The height of the wall is 18 feet
54 because the formula for the area of triangle is 1/2bh so you just substitute the b and h for 18 and 6
Answer:
1st, 3rd, and 6th
Step-by-step explanation:
Let's look at each statment...
1.) Correct
Explanation: 10 percent of the students at the school participate in soccer. If 140 is 10% of the number of students at the school, there is more than 140 students at this school.
2.) Incorrect
Explanation: We've already established that the # of students at the school is <u>more</u> than 140.
3.) Correct
Explanation: 10% as a decimal is 0.1 Divide 140 by 0.1 and you get 1,400. So, the total number of students is 1,400.
4.) Incorrect
Explanation: We've already established that the number of students is 1,400, not 290.
5.) Incorrect
Explanation: We've already established that the number of students is 1,400, not 150.
6.) Incorrect
Explanation: If the percent was a ratio, it would be 10:100 or 10/100. This is because a whole percent is 100% and the percent of students who play soccer is 10%.
7.) Correct
Explanation: We've already established that the ratio would be 10:100 or 10/100. Thus, this is correct.
I hope this helps! :)
Answer:
Area of the shaded region = 1.92 cm²
Step-by-step explanation:
From the picture attached,
Area of the shaded region = Area of the sector OMN - Area of the triangle OMN
Area of sector OMN = 
Here, θ = Central angle of the sector
r = radius of the sector
Area of sector OMN = 
= 15.708 square cm
Area of ΔOMN = 2(ΔOPN)
Area of ΔOPN = 
Area of ΔOMN = OP × PN
In ΔOPN,
sin(25°) = 
PN = ONsin(25°)
= 6sin(25°)
= 2.536 cm²
cos(25°) = 
OP = ONcos(25°)
OP = 6cos(25°)
OP = 5.438 cm
Area of ΔOMN = 2.536 × 5.438
= 13.791 cm²
Area of the shaded region = 15.708 - 13.791 = 1.917 cm²
≈ 1.92 cm²
Answer:
Y=1x+7
Step-by-step explanation:
y=mx+b
m: slope
b: y axis
