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3 years ago

13

380 KS3 students 240 KS4 students 110 KS5 students pick out 100 from all them combined estimate how many KS3 students there will

be

1 answer:

Leokris [45]3 years ago

7 0

Answer: 52

Step-by-step explanation:

KS3 students = 380

KS4 students = 240

KS5 students = 110

Total number of students = 730

Estimated number of KS3 students will be:

= 380/730 × 100.

= 52.06

= 52.

There'll be 52 KS3 students

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A twelve-foot ladder is leaning against a wall. If the ladder reaches ft high on the wall, what is the angle the ladder forms wi

hichkok12 [17]

This question is incomplete.

Complete Question

A twelve-foot ladder is leaning against a wall. If the ladder reaches eight ft high on the wall, what is the angle the ladder forms with the ground to the nearest degree?*

Answer:

42°

Step-by-step explanation:

From the question, the diagram that is formed is a right angle triangle.

To solve for this, we would be using the trigonometric function of Sine.

sin θ = Opposite side/ Hypotenuse

From the question, we are told that:

12 foot ladder is leaning against a wall = Hypotenuse

The ladder reaches 8ft high on the wall = Opposite side.

Hence,

sin θ = 8ft/12ft

θ = arc sin (8ft/12ft)

= 41.810314896

Approximately to the nearest degree

θ = 42°

Therefore, the angle the ladder forms with the ground to the nearest degree is 42°

3 0

3 years ago

Which is a true statement about the system of equations graphed below? answer correctly pleasee!!

AleksandrR [38]

Answer:

The top one, as they are not parallen so they will eventually meet

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

find the coordinates of the point p that divides the direct line segment from A to B in the given ratio A ( -9,5) B (15,-11)7 to

hoa [83]

$\bf ~~~~~~~~~~~~\textit{internal division of a line segment}
\\\\\\
A(-9,5)\qquad B(15,-11)\qquad
\qquad \stackrel{\textit{ratio from A to B}}{7:1}
\\\\\\
\cfrac{A\underline{p}}{\underline{p} B} = \cfrac{7}{1}\implies \cfrac{A}{B} = \cfrac{7}{1}\implies 1A=7B\implies 1(-9,5)=7(15,-11)\\\\
-------------------------------$

$\bf p=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\
-------------------------------\\\\
p=\left(\cfrac{(1\cdot -9)+(7\cdot 15)}{7+1}\quad ,\quad \cfrac{(1\cdot 5)+(7\cdot -11)}{7+1}\right)
\\\\\\
p=\left(\cfrac{-9+105}{8}~~,~~\cfrac{5-77}{8} \right)\implies p=\left( \cfrac{96}{8}~~,~~\cfrac{-72}{8} \right)
\\\\\\
p=(12~,~-9)$

3 0

3 years ago

Which of these numbers is the greatest

sasho [114]

Answer:

D

Step-by-step explanation:

A= 3,213,213

B= 780,000

C= 6,300,000

D= 11,014,114

5 0

3 years ago

100 points!!!!!!!

creativ13 [48]

Answer:

The minimum unit cost is equal to $15,339

Step-by-step explanation:

Let

x ----> the number of engines

C ---> the cost in dollars to make each airplane engine

we have

$C(x)=0.5x^{2} -100x+20,339$

This is a vertical parabola open upward (the leading coefficient is positive)

The vertex represent the minimum of the parabola

The minimum unit cost is equal to the y-coordinate of the vertex

Convert the quadratic equation into vertex form

Factor 0.5

$C(x)=0.5(x^{2} -200x)+20,339$

Complete the square. Remember to balance the equation by adding the same constants to each side

$C(x)=0.5(x^{2} -200x+100^2)+20,339-5,000$

$C(x)=0.5(x^{2} -200x+10,000)+15,339$

Rewrite as perfect squares

$C(x)=0.5(x-100)^{2}+15,339$ ----> equation into vertex form

The vertex is the point (100,15,339)

The y-coordinate of the vertex is 15,339

therefore

The minimum unit cost is equal to $15,339

4 0

3 years ago