Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle of elevation of the tree from one position on a flat path from the tree is H=60°, and from a second position L=20 feet farther along this path it is B=50° What is the height of the​ tree?

Answer:

Step-by-step explanation:

if DEF is congruent to JKL, this means that the sides of JKL are all equal to that of DEF.

Hence we can say;

DE = JK

EF = KL

DF = JL

Given

DE = 18,

EF =23,

DF = 9x-23,

JL = 7x-11

JK = 3y-21,

Required

Values of  x and y

Since DE = JK;

18 = 3y-21

18+21 = 3y

39 = 3y

y = 39/3

y = 13

Also, DF = JL

9x-23 = 7x-11

collect like terms

9x - 7x = -11+23

2x = 12

x = 12/2

x = 6

Hence the value of x is 6 and y is 13

Given: [tex]DE=18[/tex],[tex]EF=23,DF=9x-23,JL=7x-11,[/tex] and[tex]JK=3y-21.[/tex]

As [tex]\Delta[/tex][tex]DE[/tex][tex]F[/tex]  [tex]\cong[/tex]  [tex]\Delta JKL[/tex]

[tex]\Rightarrow DE=JK \ ; EF=KL \ and \ DF=JL[/tex]

[tex]\Rightarrow 18=3y-21 \ ; 23=KL \ and \ 9x-23=7x-11[/tex]

     [tex]y=13[/tex]         ; [tex]KL=23[/tex]    and        [tex]x=6[/tex]

Therefore, [tex]x=6[/tex]  and [tex]y=13[/tex]

Answer:

[tex] 24 \times c \\ \\ 24c[/tex]

Step-by-step explanation:

[tex]24 \times c \\ \\ 24c[/tex]

Answer:

The correct answer is A.

Step-by-step explanation:

1. 2(x+7)

2. 2(7+7)

3. 2(14)

4. 28

Hope this helps!

Answer:

a, c and d

Step-by-step explanation:

A sequence is said to be Geometric sequence if there is a common ratio 'r' in each successive term and the previous term.

[tex]r=\frac{\text{Successive term}}{\text{Previous term}}[/tex]

Given sequence is,

500, 100, 20......

Ratio of 2nd and 1st term = [tex]\frac{100}{500}[/tex]

                                          = [tex]\frac{1}{5}[/tex]

Ratio of 3rd and 2nd term = [tex]\frac{20}{100}[/tex]

                                           = [tex]\frac{1}{5}[/tex]

Therefore, there is a common ratio 'r' = [tex]\frac{1}{5}[/tex]

And the given sequence will be geometric sequence.

Learn more,

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Answer:

nnjvg Step-by-step explanation:

Answer:

I mean tbh its pretty easy

The y intercept is: (0, 2.5)

The x-intercept is: (3.5,0)

just look at the graph lol but if im

wrong sorry

Answer:

1 and 7/30 minutes

Step-by-step explanation:

You know that the 3 commercials add up to 3 minutes of time. And that the first two are 1 1/6 minute and 3/5 minute. To add them you need a common denominator.

Explanation:

Replace x with 4. Then use PEMDAS to simplify fully.

[tex]y = (14+x) \div 2\\\\y = (14+4) \div 2\\\\y = 18 \div 2\\\\y = 9\\\\[/tex]

When using PEMDAS, we evaluate the stuff in the parenthesis first. Afterward we divide.

Answer:

The answer is D.

Step-by-step explanation:

hope that helps

Answer:

Line R, S, and P are parallel lines meaning any lines that pass through them will form the same angles. Look at 4 and 2. One line is intersecting S and P to for the same angles. Corresponding angles in parallel lines which are formed by an intersecting line are equal. Therefore 4 and 2 are equal. That leaves B, C, and D left. 4 is also congruent to 5.  This is because if 4 is congruent to 2 and 2 is congruent to 5 by vertical angles theorem, 5 must be equal to 4 (transitive property of equality: is a=b and b=c then a=c)

That leaves B and D left. Notice the angle made at the very top left. Across from that unlabeled angle is 6. By vertical angles theorem those 2 angles are congruent. The unmarked angle is equal to 2 and 4 because corresponding angles in parallels are congruent. Therefore lets mark that unmarked angle as 0. If the m< 6 = m< 0 and the m<0= the m<4 then m<6 must equal the m<4.

That leaves Just B remaining thus B is NOT congruent to 4

<3 is the answer

Step-by-step explanation:

Answer:

a. Slope = 2; y-intercept = 2

b. Slope = 2; y-intercept = 3

c. Slope = 2; y-intercept = -1

d. Slope = -2; y-intercept = 5

e. Slope = -3; y-intercept = -5

d. Slope = -2; y-intercept = 1

Step-by-step explanation:

I Hope That This Helps! :)

Answer:

Step-by-step explanation:

2. 27

3. 18

Answer:

s o w h a t y o u n e e d t o d o i s

Step-by-step explanation:

Answer:

Continuous

Step-by-step explanation:

Answer:

1. 3.87

2. 7.07

3. 69.89

4. 70.87

Step-by-step explanation:

Answer:

What's the question?

Step-by-step explanation:

Answer: Incomplete question?

Step-by-step explanation: is there any images attached? What is the question?

Answer:

b

Step-by-step explanation:

The length of the arc subtended by a central angle of 4 radians = 20 m

Diameter of the circle = 10 m

Radius of the circle = 5 m

Central angle in radians = 4 radians

The length of arc for the circle can be determined by the formula as formulated in equation (1)

[tex]\rm L = Length\; of \; Arc \\\theta = Central \; Angle \; in \; radians \\r = Radius\; of\; the\; circle\\L = \theta \times r.......(1)[/tex]

From equation (1) we can write that

[tex]\rm L = 5 \times 4 = 20 \; m[/tex]

The length of the arc subtended by a central angle of 4 radians = 20 m

For more information please refer to the link given below

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Answer:

[tex]Rate = -52[/tex]

Step-by-step explanation:

Given

[tex]g(x) = -4x^3 + 1[/tex]

x = -4 to x = 1

Required

Determine the average rate of change

This is calculated using:

[tex]Rate = \frac{g(b) - g(a)}{b - a}[/tex]

Where

[tex]a = x = -4[/tex]

[tex]b = x = 1[/tex]

Calculating g(b):

g(b) = g(1)

If [tex]g(x) = -4x^3 + 1[/tex], then

[tex]g(1) = -4(1)^3 + 1[/tex]

[tex]g(1) = -4*1 + 1[/tex]

[tex]g(1) = -4 + 1[/tex]

[tex]g(1) = -3[/tex]

Calculating g(a):

g(a) = g(-4)

If [tex]g(x) = -4x^3 + 1[/tex], then

[tex]g(-4) = -4(-4)^3 + 1[/tex]

[tex]g(-4) = -4*-64 + 1[/tex]

[tex]g(-4) = 256 + 1[/tex]

[tex]g(-4) = 257[/tex]

So, the formula:

[tex]Rate = \frac{g(b) - g(a)}{b - a}[/tex]

becomes

[tex]Rate = \frac{g(1) - g(-4)}{1 - (-4)}[/tex]

[tex]Rate = \frac{g(1) - g(-4)}{1+4}[/tex]

[tex]Rate = \frac{g(1) - g(-4)}{5}[/tex]

[tex]Rate = \frac{-3 - 257}{5}[/tex]

[tex]Rate = \frac{-260}{5}[/tex]

[tex]Rate = -52[/tex]

Answer:

[tex] x = 7 [/tex]

Step-by-step explanation:

Given that AB and BC are perpendicular, it follows that:

m<ABC = right angle = 90°

Thus:

[tex] 75 + (x + 8) = 90 [/tex] (angle addition postulate)

Solve for x

[tex] 75 + x + 8 = 90 [/tex]

[tex] 83 + x = 90 [/tex]

Subtract 83 from each side

[tex] 83 + x - 83 = 90 - 83 [/tex]

[tex] x = 7 [/tex]

Answer:

Step-by-step explanation:

Angle 2x + 30 is exterior which is equal to sum of non-adjacent interior angles:

Answer:

x = 9 and y = 1

Step-by-step explanation:

Here,

x = 10 - y and y = x - 8 is given

then, name the equation

x = 10 - y ...(1)

y = x - 8 ...(2)

Now, put the value of x in equation (2) we get

y = x - 8

y = (10 - y) - 8

y = 10 - y - 8

y + y = 10 - 8

2y = 2

y = 2÷2

y = 1

Here, we get the value of y = 1

Now, we put the value of y in equation (1) we get

x = 10 - y

x = 10 - (1)

x = 10 - 1

x = 9

x = 10 - y

9 = 10 - 1

9 = 9

Hence, LHS = RHS

-TheUnknownScientist

Answer:

y^2+2xy/-x^2-2xy OR -y^2-2xy/x^2+2xy OR -y^2-2xy/(x)(x+2y)

Step-by-step explanation:

So, this is an implicit differentiation problem

x^2y+y^2x

so,

use product rule for both

x^2y'+2xy+y^2+2yy'x

collect all the y's

-x^2y'-2xyy'=y^2+2xy

y'(-x^2-2xy)=y^2+2xy

=y^2+2xy/-x^2-2xy

Answer:

centre of circle (h,k) is (-3,-2)

Option D is Correct.

Step-by-step explanation:

The centre of circle can be found from the equation as:

[tex](x-h)^2+(y-k)^2=r^2 \ then \ (h,k) \ is \ center[/tex]

So, the steps then by Mrs Culland are:

[tex]x^2 + y^2 + 6x + 4y - 3 = 0\\x^2 + 6x + y^2 + 4y - 3 = 0\\(x^2 + 6x) + (y^2 + 4y) = 3\\(x^2 + 6x + 9) + (y^2 + 4y + 4) = 3 + 9 + 4[/tex]

The next step will be:

[tex](x + 3)^2 + (y + 2)^2 = 16[/tex]

I assume there is some calculating mistake in the given options. Instead of 42 there should be 16, according to solution shown above.

The general equation of circle is

[tex](x-h)^2+(y-k)^2=r^2 \ then \ (h,k) \ is \ center[/tex]

In our case: [tex](x + 3)^2 + (y + 2)^2 = 16[/tex]

h= -3 and k= -2, so the centre of circle (h,k) is (-3,-2)

Option D is Correct.

Answer:

D,,,, (x+3)²+(y+2)²=4², so the center is (-3, -2).

Step-by-step explanation:

Answer:

1.) 4/3

2.) 4/3

3.) 5

4.) 5

Step-by-step explanation:

I just took the test

Answer:

4/3

Step-by-step explanation:

i just did the assignment

Answer:

X=-2

add 4 to -18

divide -14 (from the previous step [-18+4]) by 7

-14/7 = -2 (from previous step [14/7 = 2, keep it negative])

X = -2 (x equals negative two)

Step-by-step explanation:

x+x(3)=48

combine like terms

4x=48

Divide both sides by same term

4x/4=48/4

Simplify

x=12

Answer:

4

Step-by-step explanation:

(x * 3) * x = 48 ----> (4 * 3) * 4 = 48

The * are the multiplication signs. And hope this helps please choose my answer as the best so I can get brainliest pls.

Answer:

mera bahi mil nhi rha h abhay ko jante h

Answer:

sin([tex]\frac{7\pi }{4}[/tex] ) = -[tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

If cos(theta) = [tex]\frac{\sqrt{2} }{2}[/tex], then theta should equal [tex]\frac{\pi }{4}[/tex] or [tex]\frac{7\pi }{4}[/tex]  since both angles are on the right side of the origin, meaning the cosine would be positive. However, it states that the angle theta terminates at quadrant IV so the only angle that would meet this criteria is [tex]\frac{7\pi }{4}[/tex] .

So theta should equal [tex]\frac{7\pi }{4}[/tex] .

Now that we have theta, all you have to do is find the value of sine by plugging it in.

sin([tex]\frac{7\pi }{4}[/tex] ) = -[tex]\frac{\sqrt{2} }{2}[/tex]

Answer:

8

Step-by-step explanation:

208/26 = 8

CHECK

26x8=208

LxW=A

Answer:

Step-by-step explanation:

perimeter of semicircle = 1/2 π d

                                       = 1/2 π (6)

                                       = 9.425 x 4 semicircles

                                       = 37.7