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3 years ago

A boy 1.5 m tall can just see the sun over a wall 71.5 m high which is

Mathematics

1 answer:

igomit [66]3 years ago

5 0

Answer:

C. 45 degree angle

Step-by-step explanation:

let AB be the height of the wall and CD be the height of boy

with BC as distance between them.

we have AE = AB-BE = 3.64-1.54 = 2.1m

and ED = BC = 2.1m

in triangle AED, we have

tanФ = P/B = 2.1/2.1

tanФ = 1

∴ Ф = 45°

Hence the sun is elevated at an angle of 45 °.

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A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.

Kobotan [32]

Answer:

The numbers are

$-2+3\sqrt{5}$ and $3\sqrt{5}$

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

$x=y-2$

$y=x+2$ ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

$4y+x^2=49$ ----> equation B

substitute equation A in equation B

$4(x+2)+x^2=49$

solve for x

$x^2+4x-41=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+4x-41=0$

$a=1\\b=4\\c=-41$

substitute in the formula

$x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}$

$x=\frac{-4\pm\sqrt{180}} {2}$

$x=\frac{-4\pm6\sqrt{5}} {2}$

$x=-2\pm3\sqrt{5}$

The positive real number is

$x=-2+3\sqrt{5}$

Find the value of y

$y=x+2$

$y=-2+3\sqrt{5}+2$

$y=3\sqrt{5}$

6 0

4 years ago

Please help me if you don’t know the answer, please don’t answer it.

Paul [167]

Answer:

Step-by-step explanation:

(1/2)/3 = x/4

1/6=x/4

x=4/6 = 2/3

3 0

3 years ago

Read 2 more answers

Please tell me, how do i solve percentages? And yes, i know there is more than one way. Please tell me the methods to solve all

Bumek [7]

I'll give a practice problem to help explain it a bit better.

Here, let's try to solve 45% of of 60.

First, we convert the percentage into a decimal. To turn any percentage into a decimal you move the point two spaces to the left.

That means 45% as a decimal is .45.

Next, we multiply our number, 60, by the decimal .45.

60×.45=27.

That means 45% of 60 is 27.

To sum it all up, you have to get the percentage, move the decimal point two spaces to the left, and multiply it by the number you were trying to find the percentage of.

Have a wonderful day! :)

5 0

4 years ago

If Hillary spent a total of 4 hours and 35 minutes studying for her Final, how much time, in minutes, did Claudio spend studying

Maru [420]

Hillary spent a total of 275 minutes studying for his Final.

What is unit conversion ?

When a unit conversion is performed, the same property is expressed in a different unit of measurement.

Here it is given that :

Hillary spent a total of 4 hours and 35 minutes studying for her Final

We known that :

1 hours equals 60 minutes

then,

4 hours and 35 minutes will be equals to = 4x60 + 35

= 240 + 35

= 275 minutes

Therefore, Hillary spent a total of 275 minutes studying for his Final.

Learn more on conversion of units here;

brainly.com/question/340715

#SPJ1

6 0

1 year ago

What is the length of the line segment shown on this coordinate grid?PLEASE HELP :-)

tigry1 [53]

The line is 4 units in length.

5 0

3 years ago