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3 years ago

1 ballon = 8pints how many pints make 6 ballon

Mathematics

2 answers:

Aneli [31]3 years ago

7 0

48 pints... just multiply 8 and 6

givi [52]3 years ago

7 0

8 pints in 6 balloons

8 * 6 = 48

48 pints 6 balloons

Hope this helps! :)))

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For positive acute angles A and B, it is known that tan A = 35/12 and sin B = 20/29. Find the value of sin(A - B ) in the simple

almond37 [142]

Answer:

$\displaystyle \sin(A-B)=\frac{495}{1073}$

Step-by-step explanation:

We are given that:

$\displaystyle \tan(A)=\frac{35}{12}\text{ and } \sin(B)=\frac{20}{29}$

Where both A and B are positive acute angles.

And we want to find he value of sin(A-B).

Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.

Then by the Pythagorean Theorem, the hypotenuse is:

$h = \sqrt{35^2 + 12^2} =37$

Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.

Then by the Pythagorean Theorem, the adjacent is:

$a=\sqrt{29^2-20^2}=21$

Therefore, we can conclude that:

So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.

For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.

We can rewrite sin(A-B) as:

$\sin(A-B)=\sin(A)\cos(B)-\cos(A)\sin(B)$

Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)

$\displaystyle \sin(A-B)=\Big(\frac{35}{37}\Big)\Big(\frac{21}{29}\Big)-\Big(\frac{12}{37}\Big)\Big(\frac{20}{29}\Big)$

Evaluate:

$\displaystyle \sin(A-B)=\frac{735-240}{1073}=\frac{495}{1073}$

6 0

3 years ago

Given right triangle A w/a hypotenuse length of x+4 and a leg of x, and right triangle B, w/ a hypotense length of 3y and a leg

alex41 [277]

Answer:

Value is x=8 and y=4

Step-by-step explanation:

Given : A right triangle 'A' hypotenuse length of x+4 and a leg of x,

and right triangle 'B' hypotenuse length of 3y and a leg length of y+4

To find : For what values of x and y are the triangles congruent by HL?

Solution :

Triangle A,

Hypotenuse: x+4

Leg: x

Triangle B,

Hypotenuse: 3y

Leg: y+4

Since the triangle A and B are congruent so, the sides of triangles are equal.

$x+4=3y$ (Hypotenuse are equal) ..........[1]

and $x=y+4$ (Legs are equal) ..........[2]

Solving the equation of system,

Put the value of x from [2] in [1],

$x+4=3y$

$y+4+4=3y$

$8=2y$

$y=4$

Substitute y in [2],

$x=y+4$

$x=4+4$

$x=8$

Therefore, The value of x=8 and y=4

Verifying for the values of x and y:

Triangle A,

Hypotenuse: x+4=8+4=12

Leg: x=8

Triangle B,

Hypotenuse: 3y=3(4)=12

Leg: y+4=4+4=8

Both hypotenuses and both legs are equal hence they are congruent.

6 0

3 years ago

Design minimal 2-level AND-OR and NAND-NAND realizations of the following logic function. Draw circuit diagrams of your realizat

Delicious77 [7]

Answer:

Realization :

since there are 3-variable. Therefore 2ⁿ = 2³ = 8

From the attached solution, f(x,y,z) = y' + xz'

also' see the circuit diagrams of my realizations of AND-OR and NAND-NAND

Step-by-step explanation:

See attached picture for minimal 2-level AND-OR and NAND-NAND of the logic function.

f(x,y,z) = y' + xz' was designed from the function f(x,y,z) = Σm(0,1,4,5,6)

Then, minimal 2-level AND-OR was designed and after was NAND-NAND designed as well.

5 0

3 years ago

Please help whoever answers this correctly I'll mark your answer brainliest

Oksana_A [137]

Answers:

Incorrect
Correct
Correct

==================================================

Explanation:

When applying any kind of reflections, the parallel sides will stay parallel. Check out the diagram below for an example of this.

So PQ stays parallel to RS. Also, QR stays parallel to PS.

The statement "PQ is parallel to PS" is incorrect because the two segments intersect at point P. This letter "P" is found in "PQ" and "PS" to show the common point of intersection. Parallel lines never intersect.

4 0

3 years ago

What is the 2nd term when −3f3 + 9f + 6f4 − 2f2 is arranged in descending order?

Brilliant_brown [7]

For this case we have the following polynomial:

$-3f ^ 3 + 9f + 6f ^ 4 - 2f ^ 2$

To answer the question, what we must do is rewrite the polynomial in its standard form.

We have then that the polynomial will be given by:

$6f ^ 4 - 3f ^ 3 - 2f ^ 2 + 9f$

Therefore, we have the ordered polynomial in descending form of exponents.

Therefore, the second term of the polynomial is:

$- 3f ^ 3$

Answer:

The second term of the polynomial is given by:

$- 3f ^ 3$

6 0

3 years ago