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2 years ago

The school wants to build a new sandbox for the grade R playground the sandbox must be 4m long 3m wide and 0,5m high

Mathematics

1 answer:

Daniel [21]2 years ago

6 0

The new dimensions of the sandbox in centimeter (cm) are:

length = 400 centimeters

Width = 300 centimeters

Height = 50 centimeters

Given:

Length = 4m

Width = 3m

Height = 0.5m

Convert meter to centimeter

1 meter = 100 centimeters

4m = 4 × 100 centimeters

= 400 centimeters

3m = 3 × 100 centimeters

= 300 centimeters

0.5m = 0.5 × 100 centimeters

= 50 centimeters

Therefore, the new dimensions of the sandbox in centimeter (cm) are

length = 400 centimeters

Width = 300 centimeters

Height = 50 centimeters

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Explain how to find the slope of the line.

Marina CMI [18]

Step-by-step explanation:

$slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{1 - 3}{6 - 2} \\ = \frac{ - 2}{4} \\ = - \frac{1}{2}$

Even if x₁ = 6, y₁ = 1 and x₂ = 2, y₂ = 3 the result remains same.

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3 years ago

One side of a triangular garden is x feet long. The other two sides of the garden are both 5 feet less than twice the length of

Gnoma [55]

A: If the 1st side of the garden is x feet long then the other sides are 2x - 5. The perimeter is simply the measure of the distance around the triangle, so the length of all three sides added up. So the equation to find the perimeter (p) would be...

p = x + (2x+5) + (2x+5)
or
p = x + 2(2x+5)

This is actually an equation so the expression to represent perimeter would simply be...

x + 2(2x+5)

B: Since we know the equation for the perimeter and we know that we have 40 feet of fencing, then the equation to find the left over fencing would just be the length of fencing minus the perimeter...

40 - x + 2(2x+5) = the leftover amount of fencing

so the expression is...

40 - x + 2(2x+5)

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3 years ago

in a classroom 5/8 of the students are wearing blue shirts and 1/4 for wearing white shirts there are 24 students in the classro

Oliga [24]

Answer:

Step-by-step explanation:

Those wearing a shirt of another color are ...

1 - 5/8 -1/4 = 8/8 -5/8 -2/8 = 1/8

of the total number of students in the classroom

(1/8)×(24 students) = 3 students . . . . wearing another color

_____

<em>Alternate solution</em>

With the given information, you know ...

(5/8)(24) = 15 . . . students wear blue

(1/4)(24) = 6 . . . . students wear white

24 -15 -6 = 3 . . . students wear another color

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3 years ago

If tanA+sinA=m and tanA-sinA=n.prove that m^2-n^2=4√mn

mash [69]

Let $a=\tan A$ and $b=\sin A$ . Then

$m^2-n^2=(a+b)^2-(a-b)^2=(a^2+2ab+b^2)-(a^2-2ab+b^2)=4ab$

$\implies m^2-n^2=4\tan A\sin A$

and

$mn=(a+b)(a-b)=a^2-b^2$

$\implies4\sqrt{mn}=4\sqrt{\tan^2A-\sin^2A}$

The expression under the square root can be rewritten as

$\tan^2A-\sin^2A=\dfrac{\sin^2A}{\cos^2A}-\sin^2A=\sin^2A\left(\dfrac1{\cos^2A}-1\right)=\sin^2A(\sec^2A-1)$

Recall that

$\sin^2A+\cos^2A=1\implies\tan^2A+1=\sec^2A$

so that

$\tan^2A-\sin^2A=\sin^2A\tan^2A$

and assuming $\sin A>0$ and $\tan A>0$ , we end up with

$4\sqrt{\tan^2A-\sin^2A}=4\tan A\sin A$

so that

$m^2-n^2=4\sqrt{mn}$

as required.

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3 years ago

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Lorico [155]

Answer:

The answer is true

Step-by-step explanation:

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3 years ago