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3 years ago

What ratio would you use to determine how many seconds are in a minute?

Mathematics

1 answer:

meriva3 years ago

6 0

60:1

I think anyway, I just know that there are 60 seconds in one minute so sixty to one, not completely sure tho

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A piece if wire 40cm is bent to form a right angled triangle whose hypotenuse is 17cm long find the other two sides of triangle

hjlf

Answer: 150mm

Step-by-step explanation:

Take the two adjecent sides of the triangle to be x and y and X is the angle opposite the side, x.

From the trigonometric identities for a right-angled triangle, it is known that

x=170sin X and;

y=170cos X

Thus the perimeter of the triangle is given by

170sin X + 170cos X + 170 = 400

170(sin X + cos X) = 400 - 170

170(sin X + cos X) = 230

sin X + cos X = 230/170 = 1.3529

Squaring both sides hence,

sin^2(X) + 2sin X.cos X + cos^2(X) = 1.8304

Recall that sin^2(X) + cos^2(X) = 1 and 2sin X.cos X = sin 2X.

Thus, the former expression gives;

1 + sin 2X = 1.8304

sin 2X = 0.8304

2X = arcsin (0.8304)

2X = 56.14° or (180 - 56.14)° = 56.14° or 123.86° for X existing within a triangle.

X = 56.14/2 or 123.86/2

X = 28.07° or 61.93°

Thus the two adjacent sides are ;

x = 170 sin (28.07) = 80mm

y = 170 cos (28.07) = 150mm

Using the value of 61.93° as X would give the same values but interchanged for x and y.

I hope you find this useful.

5 0

3 years ago

Please help thanks!

Kryger [21]

Answer:

All except irrational-

Step-by-step explanation:

100/100 is 1. This makes it real, an integer, whole,natural, and rational.

4 0

3 years ago

Jose set a goal of saving at least $200 in a savings account. He currently has $60 in the

Dovator [93]

It will take him 28 weeks. If he already has $60 of $200 saved, you would do 200 - 60. That would give you 140. To find out how long it would take him to make $140, you would have to do 140 divided by 5 to get the number of weeks.

4 0

3 years ago

Read 2 more answers

I really need help on these two. Its fine if you dont get both of them. i will give you 25 points

masya89 [10]

Answer:

He read 1/3 of the book on the second day

He didn't finish the book in two days.

Step-by-step explanation:

Lets find 3/5 of 5/9

If we said, find 3/5 of x, the answer would be 3/5x.

3/5*x = 3/5x

In the same way, $\frac{3}{5} *\frac{5}{9} = \frac{15}{45} = \frac{1}{3}$

He read 1/3 of the book on the second day

Does 5/9 + 1/3 equal to 1?

1/3 = 3/9

5/9 + 3/9 = 8/9

He didn't finish the book in two days.

Hope this helps :)

Have a nice day!

3 0

2 years ago

How many distinct diagonals of a convex heptagon (7-sided polygon) can be drawn?

valkas [14]

The convex heptagon has 14 distinct diagonals can be drawn

Step-by-step explanation:

A polygon is said to be a heptagon if it has 7 vertices, 7 sides and 7 angles. A heptagon is called a convex heptagon if the lines connecting any two non-adjacent vertices lie completely inside the heptagon

The formula of number of diagonals in any polygon is $d=\frac{n(n-3)}{2}$ , where