All categories

3 years ago

Find the value of x round the length to the nearest tenth. The diagram is not drawn to scale.

Mathematics

2 answers:

Sidana [21]3 years ago

7 0

Answer:

$x=2890.1m$

Step-by-step explanation:

From the given figure, it can be seen that AD is parallel to BC, therefore using the alternate angles property, we have

∠DAC=∠BCA=10°

Also, the measure of AB is 500m.

Now, using trigonometry, we have

$sin10^{\circ}=\frac{AB}{AC}$

Substituting the given values, we have

$0.173=\frac{500}{x}$

$x=\frac{500}{0.173}$

$x=2890.1m$

Therefore, the value of x is 2890.2 meters.

Anna35 [415]3 years ago

5 0

Answer:

Step-by-step explanation:

has to be 180

You might be interested in

The city zoo has different admission prices for adults and children. When three adults and two children went to the zoo, the bil

charle [14.2K]

Answer:

The price of adult's ticket is $ 17.73 And

The price of children's ticket is $ 13.85

Step-by-step explanation:

Given as :

The Prices for adult ticket and child ticket in the city zoo is different

Let the price for adult's ticket = $ A

And The price for child's ticket = $ C

Now, according to question :

3 A + 2 C = $ 80.89 And

2 A + 3 C = $ 77.01

Now solve the both equation

So, 2 × (3 A + 2 C) = 2 × $ 80.89 And

3 × (2 A + 3 C) = 3 × $ 77.01

I.e

6 A + 4 C = $ 161.78 And

6 A + 9 C = $ 231.03

Now, ( 6 A + 9 C ) - ( 6 A + 4 C ) = $ 231.03 - $ 161.78

Or, 5 C = $ 69.25

Or, C = $ 13.85

And Put the value of C in above any eq

6 A + 4 × ($ 13.85) = $ 161.78

Or, 6 A = $ 161.78 - $ 55.4

Or, 6 A = $ 106.38

∴ A = $\frac{106.38}{6}$

Or, A = $ 17.73

Hence The price of adult's ticket is $ 17.73 And

The price of children's ticket is $ 13.85 Answer

3 0

3 years ago

Theo had a balance of -4 in his savings account. After making a deposit , he has $25 in his account . What is the overall change

ozzi

Theos initial balance in his savings account = -$4
Final balance after making a deposit = $25
So, the overall change to his account = $ 29

6 0

3 years ago

There are 36 bikes in a store (18 pairs). 1 pair(s) are yellow, 3 pairs are red, and the rest are purple. If you took out a purp

LenaWriter [7]

Answer: 27/36

Step-by-step explanation: It says there are 36 bikes (18 pairs), meaning that there are 2 bikes per pair because 18 multiplied by 2 is 36.

1 pair (2 bikes) are yellow.

3 pairs (6 bikes) are red.

For purple, add yellow and red together: 2 + 6 = 8. Subtract the total number of bikes from this: 36 - 8 = 28 purple bikes.

If you take out 1 purple bike, this leaves you with 27. The probability of choosing a purple bike out of the total (36), is 27/36.

Please let me know if this is correct or wrong.

8 0

3 years ago

How much is 74 divided by 4

exis [7]

Answer:

18.5

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Percy said that any real number for k would cause the system of equations to have no solution. Explain the error in Percy’s stat

MatroZZZ [7]

Answer:

Except k=7, any real number for k would cause the system of equations to have no solution.

Step-by-step explanation:

In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.

Just for information, if k=7 the system will have infinitely many solutions.

5 0

3 years ago

Read 2 more answers