MATHEMATICS HIGH SCHOOL

Divide 2 over 3 ÷ 1 over 6 = ____.

Answers

Answer 1
Answer:

Answer:

4

Step-by-step explanation:

To find the answer we need to do KCF

KCF = Keep Change Flip

2/3 x 6/1 = 12/3

Simplified: 4/1
Answer 2
Answer:

Answer:

2/3÷1/6

=2/3×6

=2×2

=4

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One leg of a right triangle is 7 units long, and its hypotenuse is 16 units long. What is the length of the other leg? Round to the nearest whole number.

Answers

Answer:

14 units

Step-by-step explanation:

To find the length of the other leg of a right triangle, where one leg is 7 units long and the hypotenuse is 16 units long, use Pythagoras Theorem.

Pythagoras Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the legs.  

Let the legs of the right triangle be "a" and "b", and the hypotenuse be "c". Therefore:

\begin{aligned}a^2+b^2&=c^2\na^2+7^2&=16^2\na^2+49&=256\na^2+49-49&=256-49\na^2&=207\n√(a^2)&=√(207)\na&=14.3874945...\na&=14\;\sf(nearest\;whole\;number)\end{aligned}

Therefore, the length of the other leg is 14 units (rounded to the nearest whole number).

Answer:

7^{2} + x^{2} = 16^{2}

49+x^2=256

x^2=207

x=14.387=14

1. Determine the constant of variation for the direct variation given.R varies directly with S. When S is 16, R is 80.
1/5
5
16

Answers

R\ varies\ directly\ as\ S\n\n(R)/(S)=k\n\nk-constant\ of\ variation\n\nk=(80)/(16)=5\n\nAnswer\ is\ 5.

Answer:

5

Step-by-step explanation:

Aricela is trying to estimate the distance between her house and the park. On a map with a scale of 0.5 in. = 2 miles, the distance between her house and the park is 2.75 in. Which proportion can Aricela use to determine the distance, d, between her house and the park?A)
0.5
2.75
=
2
d
B)
d
0.5
=
2.75
2
C)
d
2
=
0.5
2.75
D)
0.5
d
=
2
2.75

Answers

If you would like to know the proportion Aricela can use to determine the distance, d, between her house and the park, you can calculate this using the following steps:

0.5 in. ... 2 miles
2.75 in. ... d miles = ? 

0.5 * d = 2 * 2.75
d = 2 * 2.75 / 0.5
d = 11 miles

The correct result would be B) and D).

To determine the distance between her house and the park, Aricela can use the proportion:

0.5

2.75

=

2

d

. The distance on the map for 2 miles (0.5 in.) corresponds with the distance on the map between Aricela’s house and the park (2.75 inches) and the scaled distance (2 miles) corresponds to the actual distance between Aricela’s house and the park (d).

A the answer would be A.

Please help me....I really need help!!Which expression is equal to (cx^(2)-4 )/(6c^(4)+15c^(3) ) ÷(c^(2) +4c+4)/(12c^(3)+30c^(2) ) ?

A.(2(c-2) )/(c(c-2))
B.(2(c-2))/(c(c-2))
C.(c(c+2))/(2(c+2))

Answers

(c^2-4)/(6c^4+15c^3)/(c^2+4c+4)/(12c^3+30c^2)=(c^2-2^2)/(3c^3(2c+5))/(c^2+2(c)(2)+2^2)/(6c^2(2c+5))\n\n_{\text{use}\ a^2-b^2=(a-b)(a+b)\ \text{and}\ (a+b)^2=a^2+2ab+b^2}\n\n=((c-2)(c+2))/(3c^3(2c+5))\cdot(6c^2(2c+5))/((c+2)^2)=((c-2))/(c)\cdot(2)/((c+2))=\boxed{(2(c-2))/(c(c+2))}

1. If the expression 9y − 5 represents a certain number, which of thefollowing could NOT be the translation?

a. five less than nine times y

b. five less than the sum of 9 and y

c. the difference between 9y and 5

d. the product of nine and y, decreased by 5

Answers

After examining all options, we find that each one can be represented by the expression 9y - 5. Therefore, there is no option that could NOT be the translation of the given expression.

To find the translation that could NOT be represented by the expression 9y - 5, we need to compare each option with the given expression and determine if they are equivalent or not.

The given expression is: 9y - 5

Now, let's examine each option:

a. five less than nine times y

This option can be represented as 9y - 5, so it is equivalent to the given expression.

b. five less than the sum of 9 and y

This option can be represented as 9 + y - 5, which simplifies to 9y - 5. So, it is also equivalent to the given expression.

c. the difference between 9y and 5

This option can be represented as 9y - 5, so it is equivalent to the given expression.

d. the product of nine and y, decreased by 5

This option can be represented as 9y - 5, so it is also equivalent to the given expression.

To know more about expression:

brainly.com/question/14347586

#SPJ2

Answer:

b. five less than the sum of 9 and y

Find the product of (x − 3)2.

Answers

The product of the given expression  (x − 3)^2 would be equal to x^2 - 6x + 9.

What is a solution for a quadratic equation?

Suppose that we've a function y = f(x) such that f(x) is quadratic.

When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0

This solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.

Example: For x² + 5x + 6 = 0, the solutions are x = -3, and x = -2.

The graph of y = x² + 5x + 6 will intersect the x-axis at x= -3 and x=-2 (and those are the only intersection it will do on x-axis).

The given expression is

(x - 3)^2\n\nx^2 - 2(x)(3) + (-3)^2\nx^2 -6x + 9

Learn more about solutions of a quadratic equation here:

brainly.com/question/15582302

#SPJ2

Answer:

x2 − 6x + 9

Step-by-step explanation:

Took a test and got it right
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