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4 years ago

Write the fraction 3/4 as an equivalent fraction with the given denominator 12

Mathematics

2 answers:

mafiozo [28]3 years ago

5 0

Answer:

9/12

Step-by-step explanation:

4 times 3 is 12, so 3 times 3: will equal 9

natima [27]3 years ago

5 0

The answer it 9/12

you need to get to 12 so 4 times 3 equals 12
you need to multiply the numerator and denominator by the same number (3)
3(3)/4(3)
9/12

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Mike wants to work out the height of a tree which has a fence around it. From A he sees that the angle of elevation of the top i

larisa [96]

Answer: 13.8 m

Step-by-step explanation:

Given

From point A, angle of elevation is $19^{\circ}$

From point B which is 18 m closer, it changes to $32^{\circ}$

Suppose the height of tree is h

From figure, we can write

$\Rightarrow \tan 32=\dfrac{h}{x}\\\\\Rightarrow h=x\tan 32^{\circ}$

Similarly

$\Rightarrow \tan19^{\circ}=\dfrac{h}{x+18}\\\\\Rightarrow h=(x+18)\tan 19^{\circ}\\\text{Substitute the value of h}\\\Rightarrow x\tan 32^{\circ}=x\tan 19^{\circ}+18\tan 19^{\circ}\\\Rightarrow x(\tan32^{\circ}-\tan 19^{\circ})=18\tan 19^{\circ}\\\\\Rightarrow x=\dfrac{18\tan 19^{\circ}}{\tan32^{\circ}-\tan 19^{\circ}}\\\\\Rightarrow x=22.09\approx 22.1\ m$

Deduce the value of h

$\Rightarrow h=22.092\times \tan 32^{\circ}\\\Rightarrow h=13.8\ m$

Thus, the height of the tree is 13.8 m

5 0

3 years ago

What is the correct justification for the first step in solving this

Bas_tet [7]

The correct justification for the first step in solving the provided equation is that the first step should be distributive Property

<h3>What is the property of equality?</h3>

Property of equality says that by performing any mathematical operation, of both sides of a expression does not change the original value of the equation.

The equation given in the problem is,

$3(x - 4) + 1 = 12x$

To solve the above equation, we need to open the brackets of the equation. To do this, we need to use the distributive property of the equality.

This can be done by multiplying the number 3 inside the bracket (x-4). This operation simplify the equation, to solve it further. Therefore,

$3x - 3\times4 + 1 = 12x\\3x - 12 + 1 = 12x$

Hence, the correct justification for the first step in solving the provided equation is that the first step should be distributive Property.

Learn more about the property of equality here;

brainly.com/question/1601404

4 0

3 years ago

Read 2 more answers

Draw lines to show how Mrs. Reed could cut one pan of lasagna into thirds,one into fourths,one into sixths,and one into eights

finlep [7]

I hope this is what you meant