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Greeley [361]
3 years ago
12

Which expression has the same value as 5(4x+4)

Mathematics
1 answer:
aev [14]3 years ago
8 0

Answer: 20x + 20

Step-by-step explanation: In this problem, the 5 "distributes" through the parentheses, multiplying by each of the terms inside.

So we have 5(4x) + 5(4) which simplifies to 20x + 20.

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Simplify the expression -8+3
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A triangular field has sides 218.5 and 213.3 and the angle between them measures 58.96°. Find the area of the field.
Zolol [24]

Answer:

The area of the field = 19966.21 units²

Step-by-step explanation:

* Lets explain how to find area of a triangle by trigonometry rule

- In any triangle if you have the lengths of two sides and the measure

 of the including angle between these two sides, then the area of the

 triangle is A = \frac{1}{2}s_{1}s_{2}sin\alpha , wher α is the

 including angle between them

* Lets solve the problem

∵ The field is shaped triangle

∵ The lengths of two sides of the field are 218.5 and 213.3

∴ s1 = 218.5

∴ s2 = 213.3

∵ The measure of the angle between the two sides is 58.96°

∴ α = 58.96°

- Lets find the area using the rule of trigonometry

∴ A=\frac{1}{2}(218.5)(213.3)sin(58.96)=19966.21

∴ The area of the field = 19966.21 units²

4 0
2 years ago
Given that the product of two positive integers is 44, and their least common multiple is 22, what is their greatest common divi
swat32

Answer:

2

Step-by-step explanation:

For any positive numbers a,b we always have the following identity:

a\cdot b=gcd(a,b)\cdot lcm(a,b)

(gcd(a,b) denotes the greatest common divisor between a and b, and lcm(a,b) denotes the least common multiple between a and b)

In our case, we are given that a\cdot b = 44 and that lcm(a,b)=22. Plugging that in into our identity, we get:

44=gcd(a,b)\cdot 22

And so solving for gcd(a,b):

gcd(a,b)=\frac{44}{22}=2

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3 years ago
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