the answer is 3/4 or c.
Step-by-step explanation:
to find tan A you would use the equation of tan which is the value opposite the angle A which is 27 over the value adjacent to the angle which is 36.
Answer: 35 inches.
Step-by-step explanation:
We know that:
hypotenuse = 5*y in
cathetus 1 = (x + 8) in
cathetus 2 = (x + 3) in
The perimeter of the triangle is 76 inches, then:
5*y + (x + 8) + (x + 3) = 76
5*y + 2*x + 13 = 76
We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.
The shorter leg is x + 3, then:
5*y - (x + 3) = 17
Then we have the equations:
5*y + 2*x + 11 = 76
5*y - (x + 3) = 17
With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.
x = 5*y - 3 - 17 = 5*y - 20
x = 5*y - 20
Now we can replace this in the other equation, we get:
5*y + 2*x + 11 = 76
5*y + 2*(5*y - 20) + 11 = 76
15*y - 40 + 13 = 76
15*y - 29 = 76
15*y = 76 + 29 = 105
and remember that the hypotenuse is equal to 5*y, then we want to get:
3*(5*y) = 105
5*y = 105/3 = 35
5*y = 35
Then te length of the hypotenuse is 35 inches.
Answer:
18. 46
19. 0.7
22. 4 3/4
23. 54.5
26. 14
27. 11.5
31. 15
etc.
Step-by-step explanation:
absolute value means that the sign in front of the # doesn't matter, you just have to look at the positive value, for example:
absolute value of 46 = 46
absolute value of - 36 = 36
(imagine the sign in front of the # isn't there)
Answer:
Natalie will have 
jars of coins all together after receiving John's coins.
Step-by-step explanation:
Given that:
Coins Natalie have = 
jars of coins
Coins John have = 
jars of coins
When John will give all his coins to Natalie.
Total coins Natalie have = Her coins + John's coins
Total coins Natalie have = 
Total coins = 
Total coins =
Total coins =
Hence,
Natalie will have jars of coins all together after receiving John's coins.
80 cups in a 5 gallon jug of water.
1 quart has 4 cups
1 gallon has 4 quarts
1 gallon = 4 quarts * 4 cups = 16 cups
5 gallons = has 80 cups of water.
(4 cups / 1 quart) x (4 quarts / 1 gallon) x (5 gallons) = 4 x 4 x 5 = 80 cups <u>
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