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s344n2d4d5 [400]
3 years ago
9

Use picture and numbers to show how to add 3+1 in any order

Mathematics
1 answer:
coldgirl [10]3 years ago
3 0
1+3
3+1
you can draw out apples and pears for example
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A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B an
Nataly [62]

Answer:

The distance between the walls is 70 m.

Step-by-step explanation:

Given: A source of laser light is at point A on the ground between two parallel walls BE and CD . The walls are perpendicular to the ground that is

BE ⊥ ED and CD ⊥ ED

AB is a ray of light which strikes the wall on the left at point B which is 30 meters above the ground. that is BE = 30 m

AC is a ray of light which strikes the wall on the right at point C. The length of AC = 80 meters.

The ray AB makes an angle of 45 degrees with the ground that is m∠BAE = 45°

The ray AC makes an angle of 60 degrees with the ground that is m∠CAD = 60°

As shown is figure attached below.

WE have to find the distance between the walls that is Length of ED

Length of ED = EA + AD

Consider the Δ AEB,

Using trigonometric ratio,

\tan\theta=\frac{perpendicular}{base}

Here \theta=45^{\circ} , perpendicular = 30 m  and base we can find.

thus,

\tan 45^{\circ}=\frac{30}{EA}

We know \tan 45^{\circ}=1

thus, EA =  30 m

Consider the Δ AEB,

Using trigonometric ratio,

\cos\theta=\frac{base}{hypotenuse}

Here \theta=60^{\circ} , hypotenuse = 80 m  and base we can find.

thus, \cos 60^{\circ}=\frac{base}{80}

We know, \cos 60^{\circ}=\frac{1}{2}

thus, Base = 40 m

AD = 40 m

Thus, the distance between the walls that is the length of ED = 30 + 40 = 70 m

4 0
3 years ago
Combine the following expressions:
melisa1 [442]

ANSWER

(4n - 1)\sqrt{3 n} + 3\sqrt{n}

EXPLANATION

The given expression is

\sqrt{48 {n}^{3} }  +  \sqrt{9n}  -  \sqrt{3n}

We remove the perfect squares under the radical sign.

\sqrt{16 {n}^{2}  \times3 n}  +  \sqrt{9n}  -  \sqrt{3n}

We can now take square root of the perfect squares and simplify them further.

\sqrt{16 {n}^{2}}   \times \sqrt{3 n} +   \sqrt{9} \times  \sqrt{n}  -  \sqrt{3n}

This simplifies to:

4n\sqrt{3 n} + 3\sqrt{n}  -  \sqrt{3n}

This further simplifies to:

(4n - 1)\sqrt{3 n} + 3\sqrt{n}

3 0
3 years ago
Read 2 more answers
Simplify 7(exponent 6) multiplied by 7 (exponent 5)
Lady_Fox [76]
7(6) x 7(5) = 7(6+5) = 7(11) is the simplified answer.
Thank you!
7 0
3 years ago
What is the equation of the line through (1,6) and (0,2)
AlladinOne [14]

Answer:

y=4x+2

Step-by-step explanation:

To find the slope of a line, you would do y₂-y₁/x₂x₁

This would be 2-6/0-1...

So your answer would be -4/-1

After simplifying, your slope is 4.

To write this in slope-intercept form, that would be y=4x+2

7 0
3 years ago
How to solve 9 * 4 - 8 / 2 *4
egoroff_w [7]

Answer: the answer is 20

Step-by-step explanation:

Use order of operations and divide 8 by 2 and you get 4. Then use the PEMDAS (parentheses,exponents,multiplacation,division,addition, subtraction) method. Go left to right. And solve. :) I hope this helps

8 0
3 years ago
Read 2 more answers
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