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3 years ago

Calculate the speed for a car that went a distance of 125 kilometers in 2 hours time.

Mathematics

2 answers:

IceJOKER [234]3 years ago

8 0

Answer:

speed = (125×1000/2×60×60) m/s

=125000/7200 m/s

=17.36 m/s

Brrunno [24]3 years ago

5 0

Answer: 62.5 miles per hour

Explanation:
Speed is distance/time
= 125 miles/ 2 hours
=62.5

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You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the

Irina-Kira [14]

Answer:

1/52

Step-by-step explanation:

52/4=13 theirs only 4 5s in a deck of cards so 13*4 is 52

5 0

2 years ago

4) A right triangle has a hypotenuse length of 10 and one of its legs has a

Rudiy27

Answer: 8

Step-by-step explanation:

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2 years ago

Verify that [tan(theta) + cot(theta)]^2 = sec^2(theta) + csc^2(theta)

Wittaler [7]

(tanθ + cotθ)² = sec²θ + csc²θ

Expand left side: tan²θ + 2tanθcotθ + cot²θ

Evaluate middle term: 2tanθcotθ = $2*\frac{sin\theta}{cos\theta}*\frac{cos\theta}{sin\theta}$ = 2

⇒ tan²θ + 2+ cot²θ

= tan²θ + 1 + 1 + cot²θ

Apply trig identity: tan²θ + 1 = sec²θ

⇒ sec²θ + 1 + cot²θ

Apply trig identity: 1 + cot²θ = csc²θ

⇒ sec²θ + csc²θ

Left side equals Right side so equation is verified

7 0

2 years ago

June bought three books. For the first book, she paid one half of her allowance plus $1 more. For the second book, she paid one

inysia [295]

Answer:

$34

Step-by-step explanation:

I'd work backwards.

For the third book, she paid all her remaining money. The problem says she paid "1/2 her leftover money + $3". This means that: (let m = money used to buy book 3)

m = 1/2m + 3

1/2m = 3

m = 6

For the second book: (let n = money before book 2)

n - m (money left after book 2) = 1/2n + 2

1/2n +2 is money used up for book, which is the same as n-m.

n = 1/2n + 2 + m

1/2n = 2 + m = 2 + 6

1/2n =8

n = 16

For the first book, she spent 1/2 her money + 1. If o = money before book 1 (or the whole allowance):

o - n = 1/2o + 1

o = 1/2o + n + 1 = 1/2o + 16 + 1

1/2o = 17

o = 34

Check!

Spent 17 (half 34) + 1 on book 1

16 left

Spent 8 (half 16) +2 on book 2

6 left

Spent 3 (half 6) + 3 on book 3

0 left

4 0

2 years ago

I have a question and I cant seem figure it out. It says( Triangle ABC is a right triangle. Angle B is the right angle, side A i

pychu [463]

Answer:

you need to draw a triangle of given dimensions

Step-by-step explanation:

if B is right angle triangle then you can assume that either AB or BC is base and other one is perpendicular. So that makes AC hypotenuse

so let's assume BC is base of 6 cm. so draw a base of 6 cm line , name it BC

then draw a 90 degree angle on B keeping BC as Base . now length of perpendicular would be 4.5 cm. this perpendicular would be AB

no join A and C . length of AC should be 7.5 cm. if it's not then something is wrong in given question.

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3 years ago