MATHEMATICS HIGH SCHOOL

Y is direcly proportional to x and y=27 when x=6find x when y=45

Answers

Answer 1

Answer:

Answer:

x= 10

Step-by-step explanation:

27÷6= 4.5

27×4.5= 6

so,

45÷4.5=10

Answer 2

Answer:

Answer:

7.5

Step-by-step explanation:

45 divided by 6 i don't know but I just wanted to try

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Find the degree of the monomial. 6x8y5

Answers

Answer:

Step-by-step explanation:

We have been given the monomial $6x^8y^5$

Here the variables are x and y.

In order to find the degree this monomial, we add the exponents of the variables x and y.

Exponent of x = 8

Exponent of y = 5

Therefore, the degree of the monomial is

Degree = exponent of x + exponent of y

Degree = 8 + 5

Degree = 13

. 6x⁸y⁵ ← x is a factor 8 times, and y is a factor 5 times, so the degree is 8+5=13
13

A road has a 10% grade. 1. What is the angle of elevation of the road? 2. If the road is 2km long, how much does it rise?

Answers

1. m = rise/run
m = 10/100 = 0.1
tan α = 0.1
α = tan^(-1) 0.1
α = 5.71 °
2. 2 km = 2,000 m
x² + ( 0.1 x )² = 2,000²
x² + 0.01 x² = 4,000,000
1.01 x² = 4,000,000
x = 1,990 m
h = 1,990 m * 0.1
h = 199 m
The road rises 199 m.

5/6+3/7 in simplest form

Answers

5/6 + 3/7

Common denominator is needed.

5/6 = 35/42
3/7 = 18/42

Now add

35 + 18 = 53

53/42
53 - 42 = 11

1 and 11/42

$(5)/(6) + (3)/(7) =\n\n (35)/(42) + (18)/(42) =\n\n (35+18)/(42) =\n\n (53)/(42) =\n\n{\boxed{(53)/(42)\ or\ 1 (11)/(42)}$

If a rectangle with a perimeter of 48 inches is equal in area to a right triangle with legsof 12 inches and 24 inches, what is the rectangle’s diagonal?

Answers

well first 12*24/2 is 144. then , using trial and error, the answer is each side is 12

then, using pythag 144+144 =288
ans square rooted gives answer , around 16.3

the answer would be 144. yw hope that helped :)

The sum of x and 4 is greater than the difference of 2x and 3. Find x