Answer:
c=10mm
Step-by-step explanation:
Using pythagoras theorem,
hypotenuse²=base²+altitude²
=√19²+9²
=19+81
=100
Hypotenuse²=100
Hypotenuse=√100
=10
Step-by-step explanation:
Total amount of apples in one bag:
Hence, total amount of apples in two bags:
or
or
Hence, B, D and E are correct.
A is incorrect because you are adding 2 more apples on top of the total amount of apples in one bag, and you cannot assume that there are 2 apples in each bag.
C is incorrect because you are multiplying the apples together, but you are supposed to add them up to find the total.
F is incorrect because you are finding 1/2 a bag.
Answer:
75%
Step-by-step explanation:
You take the length of the lower arm, 21, and divide it by the total length, 28. Your equation should be 21/28 = 3/4 =.75. 0.75 is equal to 75%
Here are some things you should know when solving algebraic equations.
If you add an expression to both sides of an equation, the resulting equation will have the same solution set as the original equation. In other words, they will be equivalent. This is true for all operations. As long both sides are treated the same, the equation will stay balanced.
You will also need to know how to combine like terms. But what are like terms to begin with? Like terms are defined as two terms having the same variable(s) (or lack thereof) and are raised to the same power. In mathematics, something raised to the first power stays the same. So, 5x and 10x are like terms because they both have the same variable and are raised to the first power. You don’t see the exponents because it doesn’t change the value of the terms.
To combine like terms, simplify add the coefficients and keep the common variable(s) and exponent.
The distributive property is another important rule you will need to understand.
The distributive property is used mostly for simplifying parentheses in expressions/equations.
For example, how would you get rid of the parentheses here?
6(x + 1)
If there wasn’t an unknown in between the parentheses, you could just add then multiply. That is what the distributive property solves.
The distributive property states that a(b + c) = ab + ac
So, now we can simplify our expression.
6(x + 1) = 6x + 6
