Answer:
55
Step-by-step explanation:
![\frac{n(n + 1)}{2} \\ n = 10 \\ substitutig \\ \frac{10(10 + 1)}{2} \\ \\ \frac{10(11)}{2} \\ \\ \frac{110}{2} = 55](https://tex.z-dn.net/?f=%20%5Cfrac%7Bn%28n%20%2B%201%29%7D%7B2%7D%20%20%5C%5C%20n%20%3D%2010%20%5C%5C%20substitutig%20%5C%5C%20%20%5Cfrac%7B10%2810%20%2B%201%29%7D%7B2%7D%20%5C%5C%20%5C%5C%20%20%20%5Cfrac%7B10%2811%29%7D%7B2%7D%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B110%7D%7B2%7D%20%20%3D%2055%20%20)
Step-by-step explanation:
Use Pythagorean theorem:
c² = a² + b²
Here, c = 42 and a = 31.
42² = 31² + b²
b = √803
b ≈ 28.3
Answer:
8 fruits
Step-by-step explanation:
Todd and agnes are making desserts. todd buys
peaches and a carton of vanilla yogurt. agnes
buys apples and a jar of honey. they bought
the same number of pieces of fruit. is there a
situation in which they pay the same amount for
their purchases? explain.
apples
peaches=
$1.25 for peaches
$1.00 for apples
yogurt
honey=
$4 for yogurt
$6 for honey
Todd:
Peaches + yogurt
1.25x + 4
Agnes:
1.00x + 6
Where,
x = number of pieces of fruit
Equate the cost of Todd and Agnes
1.25x + 4 = 1.00x + 6
1.25x - 1.00x = 6 - 4
0.25x = 2
x = 2/0.25
= 8
x = 8 fruits
The situation in which they both pay the same amount for their purchases is when they buy 8 fruits each
The correct answer is A. 9/12 times 48.
This is not a form of income it is known as federal tax refund.
What is federal tax refund ?
Tax refunds are issued to taxpayers who have overpaid their taxes, or whose employers have withheld too much from their paychecks.
Therefore, A federal tax refund is not entered on a federal tax return so it is not income. Tax refunds from state governments can be itemized deductions on your federal tax return in the year they are issued.
It must be noted that If you electronically file your tax return or if you file a paper return, your refund is generally issued within 21 days.
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