Name a radius not drawn as part of a diameter

A service station will be built in the highway, and a road will connect it with cray. How long will the new road be?

abruzzese [7]

Answer: 24 mi

Step-by-step explanation:

Let the points A, B, C and S represent Alba, Blare, Cray and Service station respectively,

Then According to the question,

We have to find out the line segment CS = x = ?

Now, In the triangles ACB and CSB,

$\angle ACB\cong \angle CSB$ ( Right angles )

$\angle ABC\cong \angle CBS$ ( Reflexive angles )

Thus, by AA similarity postulate,

$\triangle ACB\sim\triangle CSB$

By the property of similar triangles,

$\frac{AB}{CB}=\frac{AC}{CS}$

$\implies \frac{50}{30}=\frac{40}{x}$

$\implies 50x=30\times 40$

$\implies 50x = 1200$

$\implies x =24$

Thus, the length of the new road = 24 miles

7 0

3 years ago

John Glenn High School has approximately 1000 students. A survey randomly asked 20 students if they regularly buy lunch. Of thos

lutik1710 [3]

Answer:

Here we have the table for the 8 students that said yes.

a) Out of the 8 students, 5 purchased their favorite food more than four times a month.

The proportion will be p = 5/8, and this can not be simplified anymore because 5 is a prime number and 5 is not a factor of 8.

b) The mean time will be equal to the amount of each of the 8 purchased their favourite food divided by the total sample (8)

This is:

m = (6 + 4 + 3 + 8 +6 + 9 + 4 + 7)/8 = 5.875

c) Out of a sample of 20, 8 buy lunch regularly, this is; p1 = 8/20

The amount of students that regularly buy food will be:

p1*1000 = (8/20)*1000 = 400

And of those 400, 5/8 buy their favourite lunch more than 4 times per month:

(5/8)*400 = 250

d: The mean number of times that a student regularly buys salad.

We have 3 students that regularly buy salad (so we only do the math with those 3)

The mean is (8 + 6 + 7)/3 = 7

So for the students that regularly buy salad, the mean of times that the buy salad in a month is 7 times.

5 0

3 years ago

What does it mean when a boy says u tryna hang out but you can’t cuz you ain’t home but then the next day he says you going to c

krek1111 [17]

Answer:

Say your not home!

Step-by-step explanation:

Say your not home,the set a date when yall can meet again!

7 0

3 years ago

Question 5 (1 point)

riadik2000 [5.3K]

Answer:

The area of sector AOB is 75.36 unit²

Step-by-step explanation:

Consider the provided information.

Circle O with minor arc AB=60 degrees and OA =12.

We need to find the area of sector.

Area of the sector: $A=\frac{\theta }{360} \times \pi r^2$

Substitute $\theta=60$ and r =12 in above formula.

$A=\frac{60}{360} \times 3.14\times (12)^2$

$=\frac{1}{6} \times 3.14\times 144$

$=24\times 3.14$

$=75.36$

Hence, the area of sector AOB is 75.36 unit²

8 0

3 years ago

Help me pls.........!

erica [24]

If each square represents a square foot half of it would be .5 so then add all of them. The formula for Area is A=l•w and the Area formula for a triangle is A=hbb/2. Hope this helps :)

7 0

2 years ago