From a point on the ground the angle of elevation of the top of a tower is x°. Moving 150 meters away from that point the angle of elevation was found to be y° .If tan x=3/4 and tan y=5/7 find the height of the tower.​

A. subtract the bottom equation from the top equation

Step-by-step explanation:

The elimination method for solving systems of linear equations uses the addition property of equality. You can add the same value to each side of an equation. So if you have a system: x – 6 = −6 and x + y = 8, you can add x + y to the left side of the first equation and add 8 to the right side of the equation.

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[tex]x+50+x=180\\2x+50=180\\2x=180-50\\2x=130\\x=65[/tex]

Answer: 0.046

Step-by-step explanation:

From the question,

orange jelly beans= 7

Cherry jelly beans =9

Lemon jelly beans = 3

Licorice jelly beans = 15

Blueberry jelly beans = 6

Total jelly beans = 40

The probability of choosing the first cherry jelly beans will be = 9/40

After the first one is chosen, there'll be 8 cherry jelly beans and total of 39 left. The probability of choosing the second one will be = 8/39

The probability of choosing two cherry jelly beans in a row will be:

= 9/40 × 8/39

= 72/1560

= 0.046

Answer:

30

Step-by-step explanation:

These two triangles are similar, thus they have equal angle measures.

Answer:

30

Step-by-step explanation:

all the interior angles in the triangle adds up to 180

85 + 65=150

180-150=30

Based on the information given, the annual dollar difference will be C. $5600.

Based on the information given, the annual dollar difference will be calculated as follows:

= (13% × $112000) - (8% × $112000)

= (0.13 × $112000) - (0.08 × $112000)

= $14560 - $8960

= $5600

In conclusion, the correct option is $5600.

Learn more about percentages on:

https://brainly.com/question/14323743

Answer:

320cm³ (option C)

Step-by-step explanation:

The complete image of the question can be found in:

https://brainly.com/question/16820683

Volume of bird house = volume of a cuboid + volume of a triangular prism

Volume of a cuboid = length × breadth × height

= 8cm × 5cm × 6cm = 240cm³

Volume of triangular prism = ½ base ×height ×length

= ½ × 8×4×5 = 80cm³

Volume of bird house = 240+80

Volume of bird house = 320cm³

Amount of birdseed that will it take to fill the birdhouse = Volume of bird house = 320cm³

Answer:

If all the sides of the solid are flat, then it is said to be a polyhedron

Step-by-step explanation:

Given: a polyhedron

To find: attributes of a solid figure to classify it as a polyhedron

Solution:

A polyhedron is a three-dimensional figure with flat faces as polygons. It has straight edges and sharp vertices. It is made by joining polygons together.

If all the sides of the solid are flat, then it is said to be a polyhedron but if the solid has at least one curved side, then it is not a polyhedron.

Answer 3 kilometers

15 kilometers total minus 12 kilometers of the east bound car leaves only 3 kilometers for the northbound car to travel.

Step-by-step explanation:

(i) Use law of cosine:

c² = a² + b² − 2ab cos C

c² = (√3 − 1)² + (√3 + 1)² − 2(√3 − 1)(√3 + 1) cos 60°

c² = 3 − 2√3 + 1 + 3 + 2√3 + 1 − 2(3 − 1) (½)

c² = 6

c = √6

(ii) Use law of sines:

a / sin A = c / sin C

(√3 − 1) / sin A = √6 / (½√3)

(√3 − 1) / sin A = 2√2

½ (√3 − 1) = √2 sin A

½ (√6 − √2) = 2 sin A

¼ (√6 − √2) = sin A

Use a calculator:

A = 15°

(iii) Use SAS area:

A = ½ ab sin C

A = ½ (√3 − 1) (√3 + 1) sin 60°

A = ½ (3 − 1) (½√3)

A = ½√3

Answer:

4

Step-by-step explanation:

Whichever number appears the most in the list of numbers which in this is 4

Answer:

8km/h

Step-by-step explanation:

Given:

To be calculated:

Calculate the average speed of a car ?

Formula used :

Average speed = Distance/Time

Solution:

We know that,

Average speed = Distance/Time

☆ Substituting the values in the above formula, we get

Average speed = 45 km / 5 h

= 9 km/h

Thus, the average speed of a car is 9 km/h .

The letter I

hope it helps

Answer:

The letter l

Answer A is correct

hope this helps

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good luck! have a nice day!

The word "less than" switches the order around.

So instead of 8 - 7n = 6, our equation is 7n - 8 = 6.

Solving from here, we add 8 to both sides to get 7n = 14.

Now divide both sides by 7 to get n = 2.

Answer:

The number is 2

Step-by-step explanation:

The fastest way to solve this it to retrace the steps. So.....

(7)(x)-8=6

6+8=14

14/7=2

Thus, 2 is your answer.

Answer:

33 years, 7 months

Step-by-step explanation:

Using the compound interest formula Accrued Amount = P (1 + r/n)^(nt)

where Accrued amount (A) is the expected future balance

A = $8000

P = principal; $5000

r = 1.4% = 0.014

t = number of years

n = number of times interest is compounded = 12 for monthly

Therefore

8000 = 5000 (1 + 0.014/12)^(12t)

Therefore

(1.001167)^12t = 8000/5000

(1.001167)^12t = 1.6

finding the log of both sides

12t x log 1.001167 = log 1.6

12t = log 1.6 / log 1.001167

12t = 402.98

t = 402.98/12

t = 33.58

hence time to increase the balance is 33 years, 7 months

Answer:

b. ab + c = d b = a + c/d b = a/(c - d) b = (d - c)/a

Step-by-step explanation:

Answer:

all work shown and pictured

Answer:

The highest score is 91 and the lowest score is 53  

Step-by-step explanation:

The highest and lowest scores on a test taken by 80 students are within 19 points of the average of the exam. The average is 72.

1. The method used to solve this question, is the use of absolute values.

2. Let x be the value that we can use to represent the lowest and highest scores. The equation using absolute values is given as:

| x - 72 | = 19.

Therefore:

x - 72 = 19 (highest score) or

- (x - 72) = 19 (lowest score)

3. We have to find the value of x for which it is the highest or lowest score.

The highest score is given as:

x - 72 = 19

x = 19 + 72

x = 91

For lowest score:

-(x - 72) = 19

-x + 72 = 19

x = 72 - 19

x = 53

The highest score is 91 and the lowest score is 53  

Answer:500 people

Step-by-step explanation:  

70% = 0.70  

.70x = 350

x = 350/.70

x = 500

Answer:

A' (3,1)

Step-by-step explanation:

You start with (-3,5)

Translation Down 4: (-3,1), just subtract 4 from the y-coordinate

Reflection over the y-axis: (3,1), multiply -1 to the x-coordinate

Step-by-step explanation:

The number of students who jog and have one sibling who jogs is 416.

The total number of students who have one sibling who jogs is 1823 + 416 = 2239.

So the probability that a student jogs if they have one sibling who jogs is 416/2239 = 0.186.

The number of students who jog and have two siblings who jog is 400.

The total number of students who have two siblings who jog is 1380 + 400 = 1780.

So the probability that a student jogs if they have two siblings who jog is 400/1780 = 0.225.

Therefore, a student is more likely to jog if they have two siblings who jog than one sibling who jogs.

Answer:

B.

Step-by-step explanation:

[tex]2\pi *5*9+2\pi* 5^2[/tex]

[tex]2*3.14*5*9+2*3.14*25=439.6[/tex]

Answer:

s = 32

Step-by-step explanation:

–5(s – 30) = –10

Divide each side by -5

–5/ -5(s – 30) = –10/-5

s - 30 = 2

Add 30 to each side

s-30+30 = 2+30

s = 32

Answer:

D. s=32

Step-by-step explanation:

To solve the equation, we want to find out what s is. In order to do this, we have to get s by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

–5(s – 30) = –10

s-30 is being multiplied by -5. The opposite of multiplication is division. Divide both sides by -5.

–5(s – 30)/-5= –10/-5

s-30=-10/-5

s-30=2

30 is being subtracted from s. The opposite of subtraction is addition. Add 30 to both sides.

s-30+30=2+30

s=2+30

s=32

Let's check our solution. Substitute 32 in for s in the original equation. If our solution is correct, the left side of the equation should match the right side.

–5(s – 30) = –10

-5(32-30)=-10

-5(2)= -10

-10=-10

The statement above is true, so we know that s is equal to 32, and D is the correct answer.

Answer:

Where is the answers, they might help.

Answer:

Any number multiplied by 0 is 0

Step-by-step explanation:

imagine math answer.

Answer:

x=7.608696

Step-by-step explanation:

Simplify both sides of the equation.

262.5=10.5x+24x

262.5=(10.5x+24x)(Combine Like Terms)

262.5=34.5x

262.5=34.5x

Step 2: Flip the equation.

34.5x=262.5

Step 3: Divide both sides by 34.5.

34.5x

34.5

=

262.5

34.5

x=7.608696

The key thing to look for to determine whether a sequence is geometric is to see whether the ratio between consecutive terms - the number I would multiply one term by to get the next - is constant.

By inspection, we see that the fourth answer choice satisfies that, as [tex]\frac{81}{27}=\frac{27}{9}=\frac{9}{3}=\frac{3}{1}=3.[/tex] Why not the first? We have [tex]2=\frac{12}{6}\ne\frac{6}{2}=3.[/tex]

The third choice is not a geometric sequence, but rather an arithmetic sequence, where the difference between consecutive terms is constant. Just to make sure that it isn't geometric, we compute [tex]\frac{14}{9}\ne\frac{9}{4}.[/tex]

The second sequence is not geometric (although it does eventually converge to 1, but not its corresponding series), as [tex]\frac{4}{3}=\frac{2/3}{1/2}\ne\frac{3/4}{2/3}=\frac{9}{8}.[/tex]

Answer:

its D

Step-by-step explanation:

Answer: 4.2

Step-by-step explanation:

Everytime the x goes up 1, the height goes up 4.2

Answer:

The slope is 4.2 cm per week

Step-by-step explanation:

Take the difference in time and divide by the difference in time

m = (y2-y1)/(x2-x1)

   = (20.4-16.2)/(2-1)

  =4.2/1

The slope is 4.2 cm per week

Answer:

0.00456

Step-by-step explanation:

Given: Percentage of free throws = 74%

Required:  What is the probability of Glen Davis making none of his next 4 free throw attempts?

Since, there is a free throw 74% of the time, thus, the time he misses = 26% of the time.

To miss four in a row, it is requires to miss the first throw, the second throw, the third throw and also the fourth throw.

Thus, the probabilities of Gien missing will be multiplied.

By using the probability formula -

P ( MMMM) = 26/100 × 26/100 × 26/100 × 26/100

                   = 456976/ 100000000

                   = 0.00456

Therefore, the probability that he will have next 4 free attempts is 0.00456.

Answer:

a) Find attached the completed Venn diagram (2nd diagram)

b) 25

c) 46

A related Question found at brainly (ID 16765143):

A group of 80 students in a college are surveyed. They are asked which of Spanish or French they are studying. 71 of the students surveyed studies at least one of the two languages.

a) Complete the Venn diagram.

b) How many students study only french?

c) How many students study Spanish?

Step-by-step explanation:

Find attached the Venn diagram (1st diagram)

a) Total number of students in college = 80

Since 71 out of the 80 students surveyed studies at least one of the two languages, the number of students that studied neither French nor Spanish = 80-71 = 9

From the venn diagram:

Number of students that study Spanish = 14

Number of students that study French = 25

We need to determine if the values are for Spanish only and French only respectively or for at least Spanish and French respectively.

Estimated value for the middle term = 80-(14+25+9) = 32

From the above calculation, the number of students that study both Spanish and French is 32 and it is more than each set value. This implies the value given in the Venn diagram is for Spanish only and French only respectively.

Let number of students that study both Spanish and French = x

Spanish only = 14

French only = 25

the number of students that studied neither French nor Spanish = 9

Total:

14 + 25 + x + 9 = 80

48 + x = 80

x = Number of students that study both Spanish and French = 32

b) French only = 25

c) Number of  students that study Spanish = students that study at least Spanish

= 14+x = 14+32

Number of  students that study Spanish = 46