1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AlexFokin [52]
3 years ago
6

Please can you explain how you got the answers! Thanks

Mathematics
2 answers:
CaHeK987 [17]3 years ago
7 0
KM - KL = LM
3x + 1.5 - (x + 0.5) = 3x - 2
3x + 1.5 - x - 0.5 = 3x - 2
2x + 1 = 3x - 2
1 + 2 = 3x - 2x
3 = x

so KM = 3(3) + 1.5 = 9 + 1.5 = 10.5
KL = x + 0.5 = 3 + 0.5 = 3.5
LM = 3x - 2 = 3(3) - 2 = 9 - 2 = 7 <===
Sedbober [7]3 years ago
4 0
First you have to find the measurement of the entire line,which will be equal x, than plug in in the equation between L and M 
You might be interested in
. The temperature on Monday was −5∘C . By Tuesday the temperature rose to −2∘C. Find the change in temperature.
Alekssandra [29.7K]

Answer: 3^{\circ}C

Step-by-step explanation:

Given

The temperature on Monday was -5^{\circ}C

By Tuesday, it becomes -2^{\circ}C

Change in temperature is the difference between the two temperatures.

\Rightarrow \Delta T=-2-(-5)\\\Rightarrow \Delta T=-2+5\\\Rightarrow \Delta T=3^{\circ}C

Therefore, the change in temperature is 3^{\circ}C.

3 0
3 years ago
1 + tanx / 1 + cotx =2
Lera25 [3.4K]

Answer:

x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or x = tan^(-1)(-(i sqrt(3))/2 + 1/2) + π n_2 for n_2 element Z

Step-by-step explanation:

Solve for x:

1 + cot(x) + tan(x) = 2

Multiply both sides of 1 + cot(x) + tan(x) = 2 by tan(x):

1 + tan(x) + tan^2(x) = 2 tan(x)

Subtract 2 tan(x) from both sides:

1 - tan(x) + tan^2(x) = 0

Subtract 1 from both sides:

tan^2(x) - tan(x) = -1

Add 1/4 to both sides:

1/4 - tan(x) + tan^2(x) = -3/4

Write the left hand side as a square:

(tan(x) - 1/2)^2 = -3/4

Take the square root of both sides:

tan(x) - 1/2 = (i sqrt(3))/2 or tan(x) - 1/2 = -(i sqrt(3))/2

Add 1/2 to both sides:

tan(x) = 1/2 + (i sqrt(3))/2 or tan(x) - 1/2 = -(i sqrt(3))/2

Take the inverse tangent of both sides:

x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or tan(x) - 1/2 = -(i sqrt(3))/2

Add 1/2 to both sides:

x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or tan(x) = 1/2 - (i sqrt(3))/2

Take the inverse tangent of both sides:

Answer:  x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or x = tan^(-1)(-(i sqrt(3))/2 + 1/2) + π n_2 for n_2 element Z

4 0
3 years ago
The perimeter of a square is 96m.Find its area.
nadya68 [22]
<h3>Solution</h3>

P = 4a

96 = 4a

a = 24 m

so, the area is

A = a²

A = 24²

A = 24 × 24

A = 576 m²

4 0
2 years ago
Read 2 more answers
A fair die is rolled once. Let A be the event of rolling an even number, and let B be the event of rolling a number greater than
IRISSAK [1]

Answer:

A ∩ B = {4, 6}

Step-by-step explanation:

A die had 6 faces

S = {1, 2, 3, 4, 5, 6}

If A  be the event of rolling an even number, then;

A = {2, 4, 6}

If B be the event of rolling a number greater than 3, then;

B = {4, 5, 6}

A ∩ B are the values that are common to both sets

A ∩ B = {4, 6}

3 0
2 years ago
A chemical company makes up batches of copper sulfate solution by adding 250 kg of copper sulfate powder to 1000 liters of water
shepuryov [24]

Answer:

  • 0.07 kg

Step-by-step explanation:

  • <em>Assuming copper sulfate has same density as water</em>

<u>Chemical to water ratio as per given is:</u>

  • 250 kg : 1000 liter = 1 kg : 4 liter

Lab solution is 350 ml

<u>Converting to same ratio as above:</u>

350/(1 + 4) = 70 ml

  • 70 ml : 280 ml = 70 g : 180 ml = 0.07 kg : 180 ml

Answer is 0.07 kg

4 0
2 years ago
Other questions:
  • The adjoining circle with centre O has a radius of 14 cm. ABCD is a square drawn inside the circle. Calculate the area of the sh
    13·1 answer
  • You plant 40 seeds of a certain flower and 26 of them sprout. Find the experimental probability
    9·1 answer
  • Find the mean for the amounts: $17,485; $14,978; $13,592; $14,500; $18,540; $14,978. Round to the nearest dollar.
    7·1 answer
  • 2.413km to M <br> convert each measurement to the unit indicated
    6·2 answers
  • Ok, I am so sorry ,I rlly don't understand any of these things , can y'all help me with
    11·1 answer
  • A number cube with faces labeled 1 through 6 is rolled 200 times. About how many times would you expect to roll an even number?
    5·1 answer
  • Given h(x)=-5x+1, solve for a when h(x) = - 4 .
    11·1 answer
  • Find the area of a circle with diameter, d = 9.4m. Give your answer rounded to 1 DP.
    7·1 answer
  • Your car needs new brakes, which cost $285. The
    7·1 answer
  • The regular price of an item at a store is dollars. The item is on sale for off the regular price. Some of the expressions shown
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!