Answer:
840
Step-by-step explanation:
Last year, 800 students attended the career fair at West High School.
And, this year the number of students who attended the career fair increased by 5%.
We are asked how many students attended the career fair at West High School this year.
Therefore, the number of students attended the career fair at West High School will be
. (Answer)
Answer:
1)Area; A = ¼πr²
Perimeter; P = πr/2 + 2r
2)A = 19.63 cm²
P = 17.85 cm
3) r = 8.885 cm
4) r = 14 cm
Step-by-step explanation:
This is a quadrant of a circle. Thus;
Area of a circle is πr². A quadrant is a quarter of a circle. Thus;
Formula for Quadrant Area is; A = ¼πr²
A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.
Formula for the quadrant perimeter in the image given is;
P = 2πr/4 + 2r
P = πr/2 + 2r
B) When r is 5 cm;
A = ¼π(5)²
A = 19.63 cm²
P = π(5)/2 + 2(5)
P = 17.85 cm
C) when A is 100cm²:
¼πr² = 100
r² = 100 × 4/π
r² = 78.9358
r = √78.9358
r = 8.885 cm
D) when P = 50 cm.
50 = πr/2 + 2r
50 = (½π + 2)r
r = 50/(½π + 2)
r = 14 cm
Given:

To find:
The missing value of m.
Solution:
We have,

Corresponding parts of similar triangles are proportional.

Putting the given values, we get


Multiply both sides by 10.


Therefore, the value of m is 5.
Answer:
x= 10
Step-by-step explanation:
If line m is parallel to line n,
(8x +50)°= 130° (corr. ∠s, m//n)
8x +50= 130
Bring constants to one side:
8x= 130 -50
8x= 80
Divide both sides by 8:
x= 80 ÷8
x= 10
Answer:
Step-by-step explanation:
M is the midpoint
=>
⇔
⇒M(
;
)
ST=
=
=1.414