Answer:
41.667 to the nearest thousandth.
Step-by-step explanation:
z = kx/y where k is the constant of proportionality.
Inserting the given values:
66.666666666667 = k*20/6
20k = 6*66.666666666667
k = 6*66.666666666667 / 20
= 20
So the equation of variation is z = 20x /y
When x = 25 and y = 12:
z = 20*25/12
= 41.666666666667.
Create a ratio and cross multiply
20x - 75 = 14x + 63
6x = 138
x=23
hope this helps :)
Answer:
x = 60°
Step-by-step explanation:
It is given that the stones are equally spaced. As the circle is divided into 6 parts by 6 split points and there are 360∘ in the circle, each part equals 360∘/6 = 60∘. So,
mAB◠ = 60∘
mBC◠ = 3 (60∘) = 180∘
If a tangent and a secant intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of its intercepted arcs.
x = 1/2 (mBC◠ − mAB◠)
Substitute the known values into the formula.
x = 1/2 (180∘ − 60∘)
= 1/2 (120∘)
= 60∘
Therefore, x = 60∘.
Answer:
Yes they are equal
Step-by-step explanation:
3/5 is just a simplified version of 6/10
3 x 2 is 6
5 x 2 is 10
6/10
2 more fractions that are equivalent to 3/5 are
9/15
and
12/20
Answer:
The temperature rose by 5 degrees celcius between 11 am and 4 pm
Step-by-step explanation:
Here in this question, we want to find the integer which represents the temperature change from 11 am to 4 pm.
Initially, in the morning, the temperature was -2 . By 11, it had decreased by 3 degrees. What this means is that the temperature went down further by 3 degrees.
Mathematically, the temperature at 11 will be -2-3 = -5 degrees celcius
Now at 4 pm, the temperature went from -5 to 0 degrees.
The temperature change between 11 am and 4 pm will be; 0-(-5) = 0 + 5 = 5 degrees celcius
This means that the temperature rose by 5 degrees celcius between 11 am and 4 pm
