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lawyer [7]
3 years ago
9

Please help asap!!!!

Mathematics
1 answer:
777dan777 [17]3 years ago
5 0

Answer:

  465.988 mph

Step-by-step explanation:

The two speed vectors form two sides of a triangle. Their included angle is 45°, so the law of cosines can be used to find the resultant magnitude x.

  x^2 = 500^2 +50^2 -2·500·50·cos(45°) ≈ 217,144.66

  x ≈ √217,144.66 ≈ 465.988 . . . . miles per hour

_____

You may find you need to round the answer to the nearest whole number.

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The area of a regular hexagon inscribed in a circle with radius 2 is . Round your answer to the nearest tenth.
Verdich [7]

Answer:

10.4 to nearest tenth.

Step-by-step explanation:

If we draw lines from the centre of the circle to each vertex of the hexagon we get 6  equilateral triangles  of side length 2.

Altitude of each triangle  = sqrt(2^2 - 1^2)

= sqrt3.

So the area of 1 triangle = 1/2 * 2 * sqrt3

= sqrt3

Therefore the area of the hexagon = 6 * sqrt3

= 6sqrt3

= 10.3923

6 0
3 years ago
The price of mangoes was $12 per kilo in November but has increased to $18 per kilo in January
zepelin [54]

The percentage of price of mangoes was increased by 15% from November to January.

<u>Step-by-step explanation:</u>

  • The price of mangoes in November = $12 per kilo
  • The price of mangoes in January = $18 per kilo
  • The cost has been increased from $12 to $18.

Therefore, the change in percentage is percentage increase.

Percentage increase = (difference between two prices / lower price) × 100

⇒ (18-12 / 12) × 100

⇒ (6 / 12) × 100

⇒ 50 %

Therefore, the percentage change from November to January is increase of 50 %.

5 0
3 years ago
In 2021,julia is 14 years old.michael is 2.50 times as old as julia.how old will julia be when michael is 60?
TiliK225 [7]

The Julia age will be 39 years old if In 2021,Julia is 14 years old. Michael is 2.50 times as old as Julia.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the age of the Julia is x years when Michael is 60

Julia's age = 14 years in 2021

Age of Michael = 2.50×14 = 35 years

Increase in age Michael  of 60 – 35 = 25

x = 14+25 = 39 years

Thus, the Julia age will be 39 years old if In 2021,Julia is 14 years old. Michael is 2.50 times as old as Julia.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

3 0
2 years ago
Factorize Factor 25x² - 16y²<br>​
yarga [219]

Answer:

Since both terms are perfect squares, factor using the difference of squares a^2-b^2=(a+b)(a-b) where a=5x and b=4y

(5x+4y)(5x-4y)

8 0
3 years ago
is a 442.9 foot tall flagpole casts a 253.1 foot long Shadow and how long is the shadow that is 6.2 foot tall woman cats, round
Mrrafil [7]
-183.6 or 184.0 because i just subtracted the flagpole by the shadow and did the same thing as the 6.2 women<span />
4 0
4 years ago
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