Turn 8 21/40 into a decimal

Answers

Answer 1

Answer: TO get the decimal 8 is obviously 8.0 and for 21/40 just divide 40 for both the numerator and denominator. Then add the 8.0 with the answer you get for 40 together to get the final answer.

Answer 2

Answer: 821 divide 40 is 20.53 and i got that answer by first i divide the numerator 821 by the denoinator 40 so that how i got it

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If one of the legs of a right triangle is 4 in and the hypotenuse is 8 in, find the length of the other leg (use a calculator if necessary). Can you guess the measures of the acute angles?The answer should be formatted like this:

The length of the other leg is __ in
The measures of the acute angles are : __ and __

Answers

General Idea:

By using the Pythagorean theorem which states that in a right triangle the sum of square of two legs is equal to the square of hypotenuse. We can find the length of the third side.

Given:

$a= 4 \; in\n\nc=8\; in\n\na^2+b^2=c^2\n\n4^2+b^2=8^2\n16+b^2=64\nSubtracting \; 16 \; on \; both \; sides\n\nb^2=64-16\nb^2=48\nTake \; square \; root \; on \; both \; sides\n\nb= √(48) = √(16 * 3) = √(16) * √(3) = 4 √(3) inches$

We can see shortest side a is 4 inches, hypotenuse is c is 8 inches and middle side is 4√3. This is quality of a special triangle. The smallest side (a) is opposite the smallest angle (30°), the middle side (b) is opposite the angle (60°) and the longest side (c) is opposite the largest angle (90°).

The triangle 30°-60° - 90° triangle will be of the ratio 1:√3:2.

Conclusion:

The length of the other leg is 4√3 in

The measures of the acute angles are : 30° and 60°

The length of the other leg is 6.9 inches.The measure of each acute angle is 45 degrees.

1.4 divided by 0.7 in a model

Answers

Answer:

Step-by-step explanation:

Can someone help me with 9, 10, & 11

Answers

Answer:

1)For, m = 3/4 , (0,4) , 4y - 16 - 3x = 0 is the equation of line.

2)For, m = 4 , (-2,-5) , y - 4x - 4 = 0 is the equation of line.

3)For, m = -1/3 , (4,-1) , x + 3y -1 = 0 is the equation of line.

Step-by-step explanation:

If m is the slope and (x0,y0) is the point on any given equation, then

by POINT SLOPE FORMULA:

The line equation is given as (y - y0) = m (x -x0)

Now , here:

1) m = 3/4 , (x0, y0) = (0.4)

So,, the equation of line is $(y-4) = (3)/(4) (x-0)\nor, 4(y-4) = 3x$

on simplification, 4y - 16 - 3x = 0 is the equation of line.

2) m = 4 , (x0, y0) = (-2.-5)

So,, the equation of line is $(y-(-5)) = 4 * (x-(-2))\nor, (y+4) = 4(x+2)$

on simplification, y - 4x - 4 = 0 is the equation of line.

3) m = -1/3 , (x0, y0) = (4, -1)

So,, the equation of line is $(y-(-1)) = (-1)/(3) (x-4)\nor, 3(y+1) = -(x-4)$

on simplification, x + 3y -1 = 0 is the equation of line.

What is 1 divided by 998,001 to 9 decimal places?

Answers

Trick question? :P

1/998,001 should be:

0.000001002 or

1.00200300*10^-6

How much does 16 go into 75

Answers

16 goes into 75 4 times, with a remainder of 11.

75/16 = 4.6875
4 x 16 = 64
75 - 64 = 11

:D

a carnival sold tickets for $1.50 for adults and $1.00 for students. there were 54 tickets sold for a total of $70.50. write a system of equations to represent the number of adult tickets,x, and the number of student tickets,y. find the solution and explain what it means. I'll help you if you help me