A tree is growing on a hill. In an attempt to make the tree grow straight up, a 12-foot-long wire is attached to a tree at a point 6 feet off the ground. The wire is anchored to the ground 10 feet from the base of the tree. At what angle is the tree growing in relation to the hill?.

Answers

Answer 1

The angle between the sides 6 feet and 10 feet is 93.82 degrees by using the cosine rule.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a triangle.

A tree is growing on a hill.

In an attempt to make the tree grow straight up, a 12-foot-long wire is attached to a tree at a point 6 feet off the ground.

The wire is anchored to the ground 10 feet from the base of the tree.

We know that the cosine rule is given as

[tex]\rm Cos \theta = \dfrac{a^{2} +b^{2} - c^{2} }{2ab}[/tex]

We have

a = 6

b = 10

c = 12

Then angle will be

[tex]\rm Cos \theta = \dfrac{6^{2} +10^{2} - 12^{2} }{2*6*10}\\\\\rm Cos \theta = \dfrac{36+100-144}{120}\\\\\rm Cos \theta = \dfrac{-8}{120}\\\\\theta \ \ \ \ \ = cos^{-1} \dfrac{-8}{120} \\\\\theta \ \ \ \ \ = 93.82[/tex]

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer 2

Answer:

c. 93.8

Step-by-step explanation:

Got it correct


Related Questions

This bottle holds 720ml.It is 3/8 full.How much liquid is in the bottle?

Answers

Answer: It should be 270 ml

Step-by-step explanation:

To find 3/8 of 720, we need to know 1/8

Divide 720 by 8, this gives you 90

Now multiply 90 by 3 to get 3/8

Answer is 270 ml

please help thankyou!

Answers

I don't know what it's says

What is the area of a circle with a diameter of 8 centimeters? Use 3.14 for π.

Answers

Answer:

50.24 cm^2

Step-by-step explanation:

The formula for the area of a circle is A = πr^2

The radius is half of the diameter so r = 4

So now you can solve:

A = 3.14(4)^2

= 50.24 cm^2

What is the value of s?

Answers

Answer:

63

Step-by-step explanation:

(s-13) +s = s + 50

2s - 13 = s + 50

add 13 both sides, subtract the s from both sides

s = 63

Answer:

s = 63°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

s + 50 is an exterior angle of the triangle , then

s + 50 = s - 13 + s

s + 50 = 2s - 13 ( subtract s from both sides )

50 = s - 13 ( add 13 to both sides )

63 = s

U get 30 pointshhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

3.25

Step-by-step explanation:

The mean is the average of the data. I remember this by thinking, 'the average person is mean.'To find the average, or mean, you would add all of the variables together and divide it by the number of variables. The number of variables here would be 10, because there are 10 litters.We would add the amount of kittens together and divide it by 10. This will get us 57 ÷ 10 = 5.7.To find the MAD, take the mean (5.7) and subtract each number from 5.7, then square it. For example... [tex][5.7 - 4]^{2}[/tex] would be solved by first subtracting what is in the parenthesis (PEMDAS) which gets us 1.7, then multiplying it by itself (1.7 • 1.7) which equals 2.89.Repeat this process for all data points.What I got for all of the data points [listed below]Once you get all of the data points, you add them all together. This gets you 32.5.Now you divide 32.5 by 10, (to find the average of it) which gets you 3.25.2.89.49.49.09.091.695.295.295.2910.89

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

Find the missing number in the proportion.
4/3 = x/9

Answers

Answer:

12

Step-by-step explanation:

[tex] \frac{4}{3} = \frac{x}{9} \\ \\ \implies \: 3x = 4 \times 9 \\ \\ \implies \: 3x =36 \\ \\ \implies \: x = \frac{36}{3} \\ \\ \implies \: x =12[/tex]

Answer:

12

Step-by-step explanation:

or;4/3=X/9

or;3x=4×9

or;3x=36

or;X=36/3

Therefore;X=12

2 dozen oranges cost $14400.what is the cost per orange?​

Answers

Answer:

there are 12 in a dozen so in 2 there will be 24 so 14400/24 is 600 so 600 an orange.

Step-by-step explanation:

Okay so 2 dozen, assuming it’s a regular dozen, would be 24. So, if you divide $14,400, it should be $600 per orange.

If I’m reading the $14,400 wrong, and it’s actually $14.4, the cost per orange should be $0.6.

Simplify: 12(3y+x) what is the answer step by step

Answers

Answer:

I think 36y+x

Step-by-step explanation:

I multiply then add X

This is as far as I can simplify

Sry If I am wrong

What angle relationship is shown

Answers

Answer:

see explanation

Step-by-step explanation:

the 2 angles are on opposite sides of the transversal  and outside the parallel lines.

the 2 angles are alternate exterior angles

what is (x, y) (kx, ky)

Answers

Answer:

AllRealNumbers

Step-by-step explanation:

If you multiply x by k and y by k it would be the same if you did not so it would be AllRealNumbers

A thin wire of length 18 cm is bent down in the shape shown. Calculate the direct distance from A to B.

Answers

Answer:

give the pic..................

a=

b=

c=

please show working out

will award brainliest

Answers

A= 180° - 88 °= 92°
B= the same as c. 143°
C= 180° - 37°= 143°

Answer:

a = 92° , b = c = 143°

Step-by-step explanation:

a and 88° are same- side interior angles and sum to 180° , that is

a + 88° = 180° ( subtract 88° from both sides )

a = 92°

b and 37° are same- side interior angles and sum to 180° , then

b + 37° = 180° ( subtract 37° from both sides )

b = 143°

b and c are corresponding angles and are congruent , then

c = b = 143°

I NEED THE ANSWER QUICK! THE FIRST ANSWER GETS BRAINLIEST!
What is the area of this trapezoid?



Enter your answer in the box.

Answers

Answer:

80

Step-by-step explanation:

i gotchuuuuu

okok so a really easy way that this can be done is by not doing the full trapezoid, but splitting it up into 2 triangles and 1 rectangle

area of triangle: 1/2BH

area of rectangle: LW

Ookie so first the triangles:

both have the exact same measurements:

7 is the base, and the height is 8. Even tho it doesn't say 8 on one of them, we can visually see that it is the same height.

So, for BOTH triangles, 8*7=56, divided by 2=28.

Now, the rectangle:

width is 3, and length is 8.

8*3=24.

ADD TOGETHER: 28+28+24=80

AREA=80

Answer:

80

Step-by-step explanation:

area of the two triangles

= (7x8)/2x2

= 56

area of the rectangle

= 8x3 = 24

area of the trapezoid

= 56+24

=80

What is the ordered pair in the solution set of 0. 5x-2y=3

Answers

Answer:

See Below

Step-by-step explanation:

The left side of the equation HAS TO BE GREATER THAN 3

So we take each ordered pair (x,y), plug it into the expression of left side of inequality and see which one is GREATER THAN 3. That's our answer.

A:

0.5x - 2y

0.5(-2) -2(0.5) = -2

NO

B:

0.5x - 2y

0.5(2) -2(1) = -1

NO

C:

0.5x -2y

0.5(2) -2(-1) = 3

NO

D:

0.5x -2y

0.5(-2) -2(-0.5) = 0

NO

None of them are solutions. C would have been a solution if the inequality had an "EQUAL SIGN" -- but it doesn't. Maybe the question is wrong, but if the question is right, then there is no correct answer.

100 POINTS!
The Y-Intercept of a line is also known as the "Beginning Value".

A. False

B. True

Answers

Answer:

true

Step-by-step explanation:

true because it is right

Answer:

B. True

Step-by-step explanation:

The initial value, or y-intercept, is the output value when the input of a linear function is zero. It is the y-value of the point at which the line crosses the y-axis.

12) Iz'lrian bought kg of chicken. He used of it to make chicken soup. How many kilograms of chicken
did he use to make the soup?

Answers

Answer:

1 kg

Step-by-step explanation:

Because he bought only that much

Find the area
Please help

Answers

Answer:

4

Step-by-step explanation:

2 * 4 / 2

= 8/2

=4

Four less than a number

Answers

Step-by-step explanation:

For writing the expression, represent 'a number' as x, as it's unknown.

The word format explains;

Four less than x.

Subtracting 4 from x will represent four less than x.

Expression is represented as;

[tex]x - 4[/tex]

Once again I need some help with my math.

What is the slope of the line shown in the graph? A) Slope = 1 3 B) Slope = − 1 3 C) Slope = − 3 1 D) Slope = 3 1

Answers

The slope of this line would 3/1 or 3 up and right 1

simplify : 5(a-4) /3-7(a-2)/2

Answers

Answer:The solution is in the attached file

Step-by-step explanation:

If there are 2 pears for every 5 apples how many apples would there be if there were 26 pears?

Answers

Answer:

65

Step-by-step explanation:

26/2 = 13

5 x 13 = 65

Have an amazing day!

PLEASE RATE!

The equation, –2x2 5xy – 7y2 9x – 7y 13 = 0, represents a conic. The discriminant is , so the equation represents a/an.

Answers

The equation ,[tex]-2x^2+5xy-7y^2+9x-7y+13=0[/tex] represents a conic. The discriminant is is -31 , so the represents an ellipse .

What is Conic ?

A curve obtained by a cone and a plane is called conic .

Here given equation is

[tex]-2x^2+5xy-7y^2+9x-7y+13=0[/tex]

we know that discriminants of equation

[tex]$$A x^{2}+B x y+C y^{2}+D x+E y+F=0$$[/tex]

is [tex]$$D=B^{2}-4 A C$$[/tex]

and if

D<0  it's ellipse

D=0 it's parabola

D>0 It's  hyperbola

Here, the is

[tex]$$D=5^{2}-4(-2)(-7)=-31$$[/tex]

Hence it's an ellipse

The equation ,[tex]-2x^2+5xy-7y^2+9x-7y+13=0[/tex] represents a conic. The discriminant is is -31 , so the represents an ellipse .

To know more about conic visit :https://brainly.com/question/3456995

Answer:

-31 and ellipse

Step-by-step explanation:

on edge :)

Need help with this math

Answers

Answer:

USE BODMAS

2^p+q

The answer to this question

Answers

Answer:

B.(4,10)

Step-by-step explanation:

Its where the 2 lines cross at

You want to calculate a z score for a test where your raw score is 24. What other information must you have

Answers

the standard deviation

195+ -25+-81
pls help it my hw

Answers

Answer:

89

Step-by-step explanation:

195+-25=170

170+-81=89

Hope this helps:)

Pls give brainliest.

Carlos mide 54 pulgadas de estatura ¿cual es la estatura de Carlos en pies?

Answers

Hola!

carlos mide 4.5 pies

Explicación:

Hay 12 pulgadas en 1 pie

Hacemos 12 por 54 porque hay 54 pulgadas

12 * 54 = 540

Lo hacemos como un decimal porque esto es en pies

= 4.5

English:

Hello!

Carlos is 4.5 feet tall.

Explanation:

There are 12 inches in 1 foot.

We do 12 times 54 because there are 54 inches

12 * 54 = 540

We do it as a decimal because this is in feet

= 4.5

Please help me
What goes to what definition

Answers

Answer:

e, e, d, a, c

Step-by-step explanation:

The first two statements in the proof are given.

1. e

2. e

The third statement is the result of the midpoint, so we have the reason for statement 3.

3. d

LM is the third side of the triangles and is congruent to itself.

4. a

The triangles are congruent by having three sides congruent to three sides.

5. c

Find the quotient of z1 by 22. Express your answer in trigonometric form
HELP ASAP

Answers

Condense z₁ and z₂ into their exponential forms:

z₁ = 3 (cos(π/4) + i sin(π/4)) = 3 exp(i π/4)

z₂ = 7 (cos(3π/8) + i sin(3π/8)) = 7 exp(i 3π/8)

Then the quotient of z₁ and z₂ is

z₁ / z₂ = 3/7 exp(i (π/4 - 3π/8)) = 3/7 exp(-i π/8)

and in trigonometric form,

z₁ / z₂ = 3/7 (cos(-π/8) + i sin(-π/8))) … … … D

a dress shirt that normally cost $38.50 is on sale and being advertised as a 30% decrease. what percent expression could be used to find the sale price of the shirt?

Answers

.7 * 38.5 = original price

.7 * 38.5 = $26.95

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