Use the transitive property of equality to finish the equations

The expression that represents the required distance is [tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]

The given parameters are:

[tex]\mathbf{\theta =36^o}[/tex] --- the angle of elevation to the top of the tree

To do this, we make use of the following representations

The distance (s) is then calculated using the following sine ratio

[tex]\mathbf{ sin(\theta) = \frac{h}{s}}[/tex]

Make s the subject

[tex]\mathbf{ s = \frac{h}{sin(\theta)}}[/tex]

Substitute [tex]\mathbf{\theta =36^o}[/tex]

[tex]\mathbf{ s = \frac{h}{sin(36)}}[/tex]

Evaluate sin(36)

[tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]

The height of the tree is not known.

Hence, the expression that represents the required distance is [tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]

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The expression that represents the required distance is

The given parameters are:

--- the angle of elevation to the top of the tree

To do this, we make use of the following representations

s represents the distance from the tip of the shadow to the top of the tree

h represents the height of the tree

The distance (s) is then calculated using the following sine ratio

Make s the subject

Substitute

Evaluate sin(36)

The height of the tree is not known.

Hence, the expression that represents the required distance is

Read more about elevations and distances at:

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#SPJ4

Answer:

Simple Interest is calculated using the following formula: SI = P × R × T, where P = Principal, R = Rate of Interest, and T = Time period. Here, the rate is given in percentage (r%) is written as r/100. And the principal is the sum of money that remains constant for every year in the case of simple interest.

Step-by-step explanation:

hope this helps

Step-by-step explanation:

1 more time solve and answer is ready

Answer:

Yes

Step-by-step explanation:

The best way to solve this question is to use ratios. The first ratio to make is 12:24. This represents how there are 12 boys for 24 girls. Ratios remain equivalent as long as both sides of the ratio are simplified by the same number. So, you can divide both sides by 6. When you divide both sides you get 2:4. Therefore, there are 2 boys for 4 girls.

Answer:

Step-by-step explanation:

First, we know a 45-45-90 triangle has two legs that are the same because two angles are the same, so we can say that:

[tex]$a^2+b^2=c^2=a^2+a^2=c^2$[/tex]

Remember that [tex]a^2[/tex] and [tex]a^2[/tex] are the legs, which are the same length, so we can do this. Now, we solve the equation.

[tex]a^2+a^2=c^2\\2a^2=5\sqrt{7}\\2a=(5\sqrt{7})^2\\2a=5\\a=\frac{5}{2}[/tex]

HOPE THIS HELPS :D

The Pythagoras is the sum of the square of two sides equal to the square of the longest side. Then the exact measure of each leg is 9.4 ft.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

A right-angle 45-45-90 triangle with the hypotenuse measuring 5√7 feet.

We know that if two angles of any triangle are the same then their opposite sides are also the same.

Let each side length of x ft. Then by the Pythagoras theorem. we have

[tex]\begin{aligned} x^2 + x^2 &= (5\sqrt7)^2\\\\2x^2 &= 25 \times 7\\\\x^2 &= \dfrac{175}{2}\\\\x^2 &= 87.5\\\\x &= 9.354 \approx 9.4 \ \rm ft \end{aligned}[/tex]

More about the right-angle triangle link is given below.

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Answer:

Choose the option D

Step-by-step explanation:

a.

1) if A(2;9) and B(6;17), then it is possible to make up the equation of the required line according

2) the rule:

[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};[/tex]

3) if to substitute the coordinates of A&B into the rule, then:

[tex]\frac{x-2}{6-2}=\frac{y-9}{17-9}; \ => \ \frac{x-2}{4}=\frac{y-9}{8}; \ => \ \frac{x-2}{1}=\frac{y-9}{2};[/tex]

or 2x-y+5=0 or y=2x+5 (slope-interception form).

P.S. note, the suggested solution is not the shortest one. This task can be solved if to make up the system of two equations in slope-interception form.

b. see the attached picture (the required line is red colour);

c. f(4)=13. Short explanation: if to substitute the coordinate x=4 into the equation y=2x+5, then y=2*4+5=13;

d. the domain is (-∞;+∞), the range is (-∞;+∞).

Answer:18.53

Step-by-step explanation:

7 rounding up will end up to three

Answer:

18.5

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

1 = 10%

2 = 25%

3 = 50%

4 = 75%

5 = 100%

If 1 match releases 1100 joules of heat energy and we know that 1 joule = 0.239 calories. This means that 1 match releases 1100 * 0.239 calories

1 match releases 262.9 calories.

Again, if 1 match produces 262.9 calories, then

1 match = 262.9 calories

x match = 2100 calories

if we cross multiply, we have

1 match * 2100 calories = x match * 262.9 calories

x match = 2100/262.9

x match = 7.987 matches

Therefore, approximately 8 matches are needed

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Each team will play with 11 other teams. Hence each team plays 11 games. Hence a total of 11*12 =132 games but since each game involves two teams divide 132/2 = 66 so B

Answer:

49 red marbles

Step-by-step explanation:

We should first make 5/12 have a base of 84, so that'll be

(5*7)/(12*7)=35/84. So we have 35 blue marbles and all the rest are red, so 84-35=49

DUBS

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Answer:

y = 2x +2

Step-by-step explanation:

The general slope-intercept equation of a line is y=mx+b , where m is the slope and b is the y-intercept ( where the line intersects the y-axis)

From the graph we see that

m= difference in y/difference in x = (6 - -6)/ (2- -4) = 12/6 = 2

m=2 is the slope

b is where the line cuts the y-axis and is at 2

b=2 is the y-intercept

Substitute m and b in the general equation to find the equation of the graphed line.

y = 2x +2

Answer:

Step-by-step explanation:

Answer:

It costs $0.4 per pound of mac and cheese.

Step-by-step explanation:

3/7.50 = 0.4

Hope this helped. :)

Answer:

1

Step-by-step explanation: because 3 are girls and 3 + 1 equals 4 its 1

Answer:

1/4 or 25% are boys

Step-by-step explanation:

3/4 + 1/4 = 4/4

75% + 25% = 100%

It is 1.3 in decimal form

Answer:

84/63

Step-by-step explanation:

when you are dividing two fractions that is the equal of multiplying the upper one with the opposite of the one below

Answer:

look at the picture ..........

Answer:

The answer is 144 feet and it will be in the air for 6 sec

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

Like and give 5 star rating

The slope is -4/3

This is because from the first dot to the second it is going down (negative) four the to the right (positive) three.

Answer:

the answer is A since it forms a pattern :>

Step-by-step explanation:

False

The SI unit of mass is Kilogram ( Kg)

Using the concept of probability, the probability of not landing on yellow or red at all is 1/4.

Creating a square model of the two spins :

___ R ___ B ___ G ___ Y

R_ RR __ RB __ RG __ RY

B_ BR __ BB __ BG __ BY

G_ GR __GB __ GG __GY

Y_ YR __ YB __ YG __ YY

Combinations without red and yellow :

Recall :

P(without Red or Yellow) = 4/16 = 1/4

Hence, the probability of not landing on yellow or red at all is 1/4.

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Answer:

4:5

Step-by-step explanation:

I don't see the table but since it is 4 out of every 5 stickers are purple, the ratio would be 4:5, 4/5, or 4 to 5. It doesn't really matter, because all of these mean the same thing.

Tell me if I'm wrong :)

Answer:

The y-intercept is (0,16). Jamie has 16 tickets before going on any

rides.

Step-by-step explanation:

Answer:

2,5

Step-by-step explanation:

Answer:

Slope = 2.5

This means that 2.5 mm of rain falls every 1 hour

Step-by-step explanation:

Slope if the line is y2-y1/x2-x1

so 10-5/4-2

5/2

2.5 mm/hr