Square centimeters are just telling that it's an area of a rectangle, square or some other shape.
Answer:
Step-by-step explanation:
Since the ratio is 4x:4x:7x, if we add all those numbers up we get 15. Then we do 75/15 to get what x equals. So we get 5. So x equals 5. Following the rules of multiplication, you do 4(5):4(5):7(5), and simplifying that further, you get 20:20:35. If we add all those values up, we should get 75, and we do!
If you're wondering why I did 4x:4x:7x instead of 4:4:7, it's because a ratio is just a...well ratio? It's easier to visualize if you put a variable because the variable could be anything, and you would have to multiply all the given values to get the same proportions. In summery, I did it so it was easier to visualize
Answer:
144 cloves
Step-by-step explanation:
You separate 42 bulbs of garlic into two groups:one for planting and one for cooking.
We have a ratio of planting to cooking
Planting : Cooking
You will plant 3 bulbs for every 4 bulbs that you will use for cooking.
Hence: 3 : 4
The total of their proportion = 3 + 4 = 7
Hence:
The number of garlic you plant =
3/7 × 42 = 18 bulbs of garlic
The number of garlic you use to cook =
4/7 × 42 = 24 bulbs of garlic
We are also told that:
Each bulb has about 8 cloves. How many cloves of garlic will you plant?
From the calculation above , we know the number of bulbs of garlic been planted
= 18 bulbs.
Hence:.
1 bulb = 8 cloves
18 bulbs = x
x = 8 cloves × 18 bulbs
x = 144 cloves
Therefore, you will plant 144 cloves of garlic
Answer:
- sin C=h/a
- substitution property of equality
- commutative property of multiplication
Step-by-step explanation:
Because two points determine a line, you can draw altitude BD perpendicular to AC with height h. By the definition of a sine ratio, <u>sin(C) = h/a</u>, which can be rearranged into a·sin(C) = h. The area of △ABC is A=1/2bh. The <u>substitution property of equality</u> can be used to write A=1/2b(a sinC), which becomes A=1/2ab(sinC) by the <u>commutative property of multiplication</u>.
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The mnemonic SOH CAH TOA reminds you that the sine ratio is ...
Sin = Opposite/Hypotenuse
Here, the side of the right triangle opposite angle C is designated "h", the height of ∆ABC. The hypotenuse of that right triangle is side "a". So ...
sin(C) = h/a
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The substitution property of equality lets you replace any expression with its equal. Here, we have h=a·sin(C), so we can use a·sin(C) in place of h in the formula for triangle area:
1/2bh = 1/2ba·sin(C)
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The commutative property of multiplication lets you rearrange the order of the factors in a product, so ...
ba = ab
and
A = 1/2ba·sin(C) = 1/2ab·sin(C)
