Answer:
the given equation is y=4/7x
reciprocating both sides you get y/x =7/4
now x and y are directly porportional to each other so
x=ky where k is the constant
or x/y=k ......................(2)
equating 1 and 2
k=7/4
Step-by-step explanation:
Answer:
e. 10√30
Step-by-step explanation:
In this right triangle geometry, all of the right triangles are similar. This means that the ratio of long side to hypotenuse is the same for all triangles:
x/(10+50) = 50/x
Multiplying by 60x, we have ...
x^2 = 3000
x = 10√30 . . . . . take the square root. Matches choice E.
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<em>Comment on estimating</em>
You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.
The only answer choice with a value between 50 and 60 is choice E.
You don't even need to know how to find x. You only need to know that the hypotenuse is the longest side in a right triangle.
It’s an isosceles triangle, so those two sides are equal:
3x-15=x+33
2x=48
x=24, so BC should be 24.
Dimensions of the logo:
W = 4 in, L = 6 in
Dimensions of the billboard:
W ( Billboard ) = 4 x 15/2 = 2 x 15 = 30 in
L ( Billboard ) = 6 x 15/2 = 3 x 15 = 45 in
Answer:
D ) 30 in by 45 in
First, underline the key numbers
n=Perfect Quizzes last quarter
x=School record
n+3
3•2=x
Now we solve that
3•2=6
Now we know, x=6
If the record (6) is 3 times the number of spelling quizzes Hannah scored perfectly last quarter (n), then we know we have to divide the record (6) by 3 to know how many perfect quizzes were from last quarter.
6/3=2 so, n=2
The number of perfectly scored quizzes from last quarter is 2.