Area of the figure is 42 in²
Step-by-step explanation:
- Step 1: The area of the figure can be found by calculating the sum of the areas of the rectangle and the right angled triangle.
⇒ Area of the rectangle = length × width = 6 × 5 = 30 in²
⇒ Area of the triangle = 1/2 × base × height = 1/2 × 4 × 6 = 12 in²
∴ Area of the figure = 30 + 12 = 42 in²
Answer: 5,14 and -2
Step-by-step explanation:
The coefficient is the number next to the variable.
So this case the coefficients are 5,14 and -2
Answer:
3/4
Step-by-step explanation:
Take Kitzen's number of raffle tickets and put them over Ava's tickets to give you 12/16 and the simplify which gives you 3/4 because the fraction is divisible by 4.
Alright lets start by defining both prime and composite.
A natural number that has exactly two factors, one and itself, is called a prime number.
And natural number, other than one, that is not prime, is composite.
So lets start on #1: 8. We should know right off the bat that this is an even number and therefore can be divided by 2 (8/2=4). Since 8 is not one, we know that it is a composite number.
On #2 the number is 13. Now try some random numbers (2,3...) and you will find that nothing will give you a whole number (other than one). This means this number is prime.
#3 is the number 24 which is also even and can be divided by two, therefore is it composite.
33 is the number on #4. Now this one you should look at and realize that it can be divided by 11. Any two numbers that are the same (11, 22, 33, 44, 55...) can be divided by 11. This number is composite.
#5, the last one, is number 89. 89 is not a composite number, because it's only divisors are one and itself. This would make is a prime number.
Sorry this was kinda long, but I hope it helps! If you have any questions, feel free to ask!
13.15 ounces of 72% acid and 71.85 ounces of 25% acid are needed
<u>Step-by-step explanation:</u>
Total mass of acid required= 85 ounces
Let the mass of 72% acid be 'a'
Let the mass of 25% acid be 'b'
a + b = 85
b = 85-a
85(40/100) = a(72/100) + b(25/100)
85(2/5) = a(72/100) +(85- a) (25/100)
34 = (72a/100) + (2125/100) - (25a/100)
34 - (2125/100) = (72a + 25a) /100
(3400-2125)/100 = 97a /100
97a = 1275
a = 13.15 ounces
b = 85 - 13.14
b = 71.85 ounces
13.15 ounces of 72% acid and 71.85 ounces of 25% acid are needed
