Geometry Homework Help Please?

In a camp ,140 students from school A,70 students from school B, 105 students from school C, and 35 students from school D, part

Schach [20]

Total no. of students - 140 students
Total no. of students from all schools= 140+70+35+105=350
school A= 140÷350×100=40./. (multiplying by 100 because it's the total percentage )
School B = 70÷350×100=20./.
School C = 105÷350×100=30./.
School D = 105÷350×100= 10./.
Consisting all the schools percentage it gives 100./.

Hope this helps

7 0

3 years ago

Given the equation 4x2 − 8x 20 = 0, what are the values of h and k when the equation is written in vertex form a(x − h)2 k = 0?

Westkost [7]

The vertex form of the given quadratic equation is

$4(x-1)^{2} + 16 =0$ .

According to the given question.

We have a quadratic equation

$4x^{2} -8x + 20 = 0$

Since, for the standard quadratic form is $ax^{2} +bx + c = y$ , the vertex form of a quadratic equation is $y = a(x -h)^{2} + k$ where (h, k) is the vertex.

And h and k can be calculated as

h = -b/2a and y = k

So, for the given equation $4x^{2} -8x + 20 =0$ the vertex (h, k) is given by

h = -(-8)/2(4) = 8/8 = 1 (X coordinate of vertex)

and,

$y =4x^{2} -8x+ 20$

substitute x = 1 in the above equation for the value of k

Y = 4(1)(1) - 8(1) + 20

⇒ Y = 4 - 8 + 20

⇒ Y = -4 + 20

⇒ Y = 16

so, k = 16 (Y coordinate of vertex)

Now, substitute the value of a, k and h in $y = a(x-h)^{2} + k$ .

⇒ $0 =4(x-1)^{2} + 16$

Therefore, the vertex form of the given quadratic equation is

$4(x-1)^{2} + 16 =0$ .

Find out more information about vertex form of a quadratic equation here:

brainly.com/question/12223454

#SPJ4

6 0

2 years ago

Two boats are equidistant from a lighthouse. The boats are 30 miles apart. The angle formed between the two boats, with the ligh

anastassius [24]

Using the Law of Sines (sina/A=sinb/B=sinc/C for any triangle)

(sin40)/30=(sin(180-40)/2)/d

d=(30sin70)/sin40

d≈43.857mi

d≈44 mi to the nearest whole mile...

3 0

3 years ago

Read 2 more answers

Bob is driving along a straight and level road toward a mountain. At some point on his trip, he measures the angle of elevation

DerKrebs [107]

Answer:

Option A.

Step-by-step explanation:

Distance between Bob and the center of the mountain at the base = 19,427.5 ft.

Angle of elevation to the top of the mountain = 25°11'

We know that

1 degree = 60 minutes