Answer:
−c=d−r−a
Step-by-step explanation:
if we move a value to the other side of the equal sign, the value switches positive and negative signs, in this case A moved to the right, which caused it to turn negative.
The ratio using fraction notation of $5 to $35 would be 7.
<h3>What is a fraction?</h3>
A fraction represents a part of a number or any number of equal parts.
To convert a ratio into a fraction,
We will simply use the first number as the numerator and the second number as the denominator.
So the fraction = 35/5.
= 7
Since there are no more common factors, the fraction is in its lowest form which is 7.
Learn more about fractions;
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<h2>○=> <u>Correct option</u> :</h2><h2>

</h2><h3>○=> <u>Steps to derive correct option</u> :</h3>
We know that :

So, let the diameter of this circle be x.
Which means :





Thus, the radius of the circle Robert drew = 6 m
Since the circle in option B has a radius of 6 m, it is the circle Robert drew.
▪︎<em>Therefore, the correct option is (B)</em>
Formula:
V = 1/3 * b^2 * h
Plug in what we know:
V = 1/3 * 7^2 * 16
Simplify the exponent:
V = 1/3 * 49 * 16
Multiply all 3 numbers together:
V = 261.3cm^3
Answer:
8 inches.
Step-by-step explanation:
From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.
Ab = s ^ 2 = 100
Therefore each side would be:
s = (100) ^ (1/2)
s = 10
So, side of the square base = 10 inches
Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:
Ap = 520/2 = 260
For an area of the square pyramid we have the following equation:
Ap = 2 * x * s + s ^ 2
Where x is the height of each triangular surface and s is the side of the square base
Replacing we have:
260 = 2 * x * 10 + 10 ^ 2
20 * x + 100 = 260
20 * x = 160
x = 160/20
x = 8
Therefore, the value of x is 8 inches.