A tree casts a 204 centimeter shadow. A person next to the tree casts a 85 centimeter shadow. If the person is 154 centimeters tall, how tall is the tree to the nearest centimeter?

Answer:

The found values are:

y = 10

<JKM = 106°

<MKL = 74°

Step-by-step explanation:

(See the diagram attached)

As JKL is a straight horizontal line, angle measure from JK to KL is 180°.

We can see in the diagram that line KM is dividing this angle of 180° into 2 unequal parts.

Which means that the sum of <JKM and <MKL is equals to 180°.

Mathematically, it can be written as:

[tex]<JKM+<MKL=180^\circ\\\\[/tex]

Substitute the values of both angle to solve the equation:

[tex](10y+6)+(8y-6) = 180\\18y=180\\y=\frac{180}{18}\\y=10[/tex]

Put in the formulas of both angle to find their values:

<JKM = 10y + 6

<JKM = 10(10)+6

<JKM = 106°

<MKL = 8y - 6

<MKL = 8(10)-6

<MKL = 74°

Answer:

y = 10

<JKM = 106°

<MKL = 74°

Step-by-step explanation:

Answer:

Option B. Pentagonal prism

Step-by-step explanation:

Option (A). Cube

Base of a cube is a square.

Option (B). Pentagonal prism

A prism is always defined by its base.

Example: triangular prism, rectangular prism

Therefore, pentagonal prism will have a base in the shape of a pentagon.

Option (C). Triangular prism

Triangular prism will have a triangular base.

Option (D). Rectangular prism

Rectangular prism will have a rectangular base.

Answer: 8 miles per hour

Step-by-step explanation:

Speed = distance / time

When diatance is 60 miles

Speed = 60 / 1.5 = 40 miles per hour

When distance is 20% more (72 miles)

Speed = 72 / 1.5 = 48 mph

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Give me brainly

Answer:

Figure 1

The coordination of D is (a,0) and E is (b,c)

figure 2

The coordination of D is (0,b) and E is (a,0)

Here A is the answer because it has more terms i guess

Answer:

C

Step-by-step explanation:

a fraction will almost always be division

Answer:

C

Step-by-Step explanation:

6/17 = 0.35

Answer: -8x^3 - x - 7

Answer:

First open parenthesis:

x^5-9x^3+7x+x^3-x^5-7-x

-8x^3+6x-7

Answer: 0.04122137404

If you want me to explain more please let me know :)

Answer:

the answer is A

Step-by-step explanation:

a rational function is a ratio of two polynomial that has a denominator and numerator and can not be zero

Answer: Gym problem (fourth option)

Step-by-step explanation:

Hi, to answer this question we have to analyze the options given.

For the first option the equation is:

384+2x=6x

Because the problem asks for a solution where both costs are equal.

For the second option the equation is :

384+2x = 6x

Because the problem asks for a solution where both amounts are equal.

For the third option the inequality is:

384+2x>6x

Because the problem asks for a solution where the first cost is more expensive than the second cost.

For the fourth option (gym problem) the inequality is:

384+2x< 6x

Because the problem asks for a solution where the second cost (super gym) is more expensive than the first cost (mega gym).

This option is the correct one.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

-3k +10

Step-by-step explanation:

-3k - (-8) +2

Subtracting a negative is like adding

-3k +8+2

Combine like terms

-3k +10

Answer:

Its actually not. So first the -3k is already simplified. The --8 becomes +8

its -3k+8+2 =

-3k+10

At least I was first answerer. It really helps to get brainliest, I calculated average so for every 20 questions you get 1 brainliest. I am working my way up to brainliest and questions help. I am also working up to Master Answerer

Answer:

4th option is the correct answer

35 inches

Step-by-step Explanation:

[tex]w = 4 \frac{3}{8} = \frac{35}{8} \: in \\ \\ l = 3 \times \frac{35}{8} = \frac{105}{8} \: in \\ \\ perimeter \: of \: rectangle \\ = 2\bigg(l + w \bigg) \\ \\ = 2\bigg( \frac{105}{8}+ \frac{35}{8} \bigg) \\ \\ = 2 \times \frac{140}{8} \\ \\ = \frac{140}{4} \\ \\perimeter \: of \: rectangle = 35 \: in[/tex]

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Explanation:

Choice A is a non-answer because 3-4-5 does represent a right triangle. We can see so from the Pythagorean theorem

a^2+b^2 = c^2

3^2+4^2 = 5^2

9+16 = 25

25 = 25

We get a true equation, so (a,b,c) = (3,4,5) is a solution to a^2+b^2 = c^2

This confirms a 3-4-5 triangle is a right triangle.

------

The same steps can be used to show 6-8-10 is also a right triangle (note how each value has been doubled compared to 3-4-5). We can cross choice B off the list.

We can also see that choice D is a non-answer as well.

------

Choice C is the only thing left. The proper Pythagorean triple is actually 8-15-17.

Let's see what happens when a = 8, b = 14, c = 17

a^2+b^2 = c^2

8^2+14^2 = 17^2

64+196 = 289

260 = 289 .... false equation

We get a false equation, so a = 8, b = 14, c = 17 does not form a right triangle.

________________________________

Hey!!!

solution,

(-4ab - 5a +3)-(-7ab+9)

=-4ab -5a+3 + 7ab - 9

= -4ab+7ab-5a+3-9

= 3ab-5a-6

Hope it helps...

Good luck on your assignment

______________________________

Answer:

Radius x radius x 3.14 / 2 = area of semicircle

5 x 5 x 3.14 = 78.5

don't divide because there is two semicircle

22-10=12

12 x 10 = 120

120 + 78.5 = 198.5 cm squared

Step-by-step explanation:

Answer:

Step-by-step explanation:

A linear equation in "standard form" looks like Ax + By + C = 0,  or

Ax + By = D

x + y = -1 :  is in standard form:  A = 1, B = 1 and D = -1

-3.x = y :  NOT in standard form

x + 4y = 0   is in standard form

y = 5x - 2   NOT in standard form

x = 3 -0.17   NOT

8x – 3y = 20  is in standard form

Answer:

A. x + y = -1

C. x +4y = 0

F. 8x - 3y = 20

Step-by-step explanation:

Edge 2023

Answer:

1/4

Step-by-step explanation:

printed part = 210

total pages = 280

probability to open printed page 210/280 =3/4

probability to not open printed page = 1 - probability to open printed page = 1 - 3/4 = 1/4

Answer:

1/4

Step-by-step explanation:

280-210=70

P=70/280=1/4

Answer:

5x-1

Step-by-step explanation:

f(x) = 3x - 2

g(x) = 2x + 1

f(x) + g(x) = 3x-2 +2x+1

                Combine like terms

                = 5x-1

Answer:

(f+g)(x)=5x-1

Step-by-step explanation:

To find (f+g)(x), add f(x) and g(x)

f(x)+g(x)

We know that f(x) is equal to 3x-2 and g(x) equals 2x+1.

f(x)=3x-2

g(x)=2x+1

(3x-2)+ (2x+1)

Combine like terms. Add all the terms with a variable, then all the terms without a variable

(3x+2x)+(-2+1)

5x+(-2+1)

5x-1

(f+g)(x)=5x-1

Answer: 9

Step-by-step explanation: Here, we have the expression 4x - 7 and we want to evaluate the expression when x is equal to 4.

To evaluate an expression, we simply plug the value

of the variable into the expression and solve.

So here, since x is equal to 4, we have 4(4) - 7.

4(4) is equal to 16.

So we have 16 - 7 which is equal to 9.

So the value of our expression when x is equal to 4 is 9.

Answer:

9

Step-by-step explanation:

4x - 7 ( x=4)

4 × 4 - 7

16 - 7

9

Answer:

Please mark me brainliest and I hope this helps!

Answer: 52

Step-by-step explanation:

The length of the path is shown by the lines that trace the outside of the shape. The lines are equal to: 13 + 13 + 9 + 3 + 4 + 10

That is equal to 26 + 9 + 7 + 10.

Which is equal to 35 + 17.

And our final answer is 52.

Answer:

45 + ( 7.50*x)

Step-by-step explanation:

Answer:

I believe the answer is: [tex]f(x)=45+7.50x[/tex]

Step-by-step explanation:

45 because you start with it costing that much and then the 7.50x because each child costs 7.50 and you don't know how many there will be.

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

If the lengths of a and b are equal, the degrees of the angles should also be equal.

Answer:

5%

Step-by-step explanation:

To find this percent, first divide 1 by 20.

1/20 = 0.05

Now, convert this decimal to a fraction by moving the decimal point 2 places to the right.

0.05 = 5%

Hope this helps! Feel free to ask me any questions :)

Answer:

5%

Step-by-step explanation:

1/20 = 5/100

5/100 equals 5%

______________________________

Hey!!

Base=15cm

height=5 cm

Area of parallelogram=b*h

=15*5

=75 cm^2

Hope this helps..

__________________________

Answer:

B

Step-by-step explanation:

You can use an equation from physics to help with this.

[tex]v_f=v_o+at[/tex]

Since the initial velocity is 0, you can set up the following equation:

[tex]v_f=0+(10)(5)\\\\v_f=50\neq 100[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

j<-1

Step-by-step explanation:

10j<-10

divide both sides by 10 and get

j<-1

Answer:

[tex]j < - 1[/tex]

Step-by-step explanation:

[tex]10j < - 10 \\ \frac{10j}{10} < \frac{ - 10}{10} \\ = j < - 1[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!