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
ivolga24 [154]
3 years ago
6

Thomas is going to cycle a route in the South Downs. He knows that

Mathematics
1 answer:
natali 33 [55]3 years ago
8 0

Answer:

8:00

Step-by-step explanation:

He will only take 3 rest periods, each of which last 30 minutes so he rests for 1 hour 30 minutes. Because the route takes 9 hours without rests, the duration with rests is 1 hour 30 minutes + 9 hours = 10 hours 30 minutes. 18:30 - 10:30 = 8:00.

You might be interested in
Find the measure of angle 2
WINSTONCH [101]

Answer is in the screenshot.

5 0
3 years ago
Triangle X Y Z is shown. Angle Y X Z is a right angle. The length of Y X is 12 inches and the length of X Z is 10 inches. Angle
mario62 [17]

The best approximation for the measure of angle XYZ is 39.8° ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

  • sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}
  • cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}
  • tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}

In Δ XYZ

∵ ∠ YXZ is a right angle

∴ The hypotenuse is YZ

∵ The adjacent side to ∠XYZ is XY

∵ The opposite side to ∠XYZ is XZ

∵ YX = 12 units

∵ XZ = 10 units

- Use tan ratio to find the measure of the angle because you

   have the adjacent and opposite sides of the angle XYZ

∵ m∠XYZ is x

∵ tan(x)=\frac{XZ}{XY}

∴ tan(x)=\frac{10}{12}

- To find x use the inverse of tan(x)

∵ x=tan^{-1}(\frac{10}{12})

∴ x = 39.8°

∴ m∠XYZ = 39.81°

The best approximation for the measure of angle XYZ is 39.8°

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
US
goldfiish [28.3K]

Answer: there are three of the holidays

Step-by-step explanation:

The prime numbers through 31 include 2,3,5,7,11,13,17,19,23,29,31,and 37 so therefore three of the holidays (Martin Luther, Easter, and Thanksgiving) fall on days that are prime numbers

7 0
3 years ago
What is the greatest whole number that rounds to the number 277,300?
lorasvet [3.4K]

That whole number is  277,349.

8 0
3 years ago
Factorise 4x^2-y^2 please help
kotegsom [21]

Answer:

(2x + y)(2x - y)

Step-by-step explanation:

1. Simplify the square 4x²:

(2x)² - y²

2. Apple the difference of two squares formula <em>x² - y² = (x + y)(x - y)</em>:

(2x + y)(2x - y)

hope this helps!

8 0
2 years ago
Other questions:
  • Prove that there are infinitely many primes of the form 4k + 3, where k is a non-negative integer. [Hint: Suppose that there are
    14·2 answers
  • What type of angle is shown here?
    15·2 answers
  • Which one is equivalent ​
    9·1 answer
  • 1/8 represented in different ways
    13·2 answers
  • Russell has c pieces of candy. He gives away 98 of the pieces. Write an expression that shows the number of pieces of candy Russ
    14·1 answer
  • Wendy needs to purchase 30 vases, which cost $3 each, and flowers for the vases, which cost $2 each. She has $390 to spend on he
    11·1 answer
  • Which number is greater [-6.809]___[-6.812]
    13·2 answers
  • How much could they charge per ticket to break-even (make $0 profit)?
    8·1 answer
  • What do I do first, division, multiplication, subtraction, addition
    5·1 answer
  • You must write your answer in fully simplified form.<br> 8a= 5
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!