Answer:
25°
Step-by-step explanation:
The angle of a right triangle is always 90°. 90-35=51. 25 times 2 is 50 plus 1 is 51, so x is 25°.
Answer:
B
Step-by-step explanation:
33.8 Rounded
Use Pythagorean theorem :)
Brainliest?
The correct answer is C. $ 9.38
Explanation:
The first step to solve this mathematical problem is to know the price of the shoes. About this, we know the price is 1/4 of $88 plus taxes. You can find how much is 1/4 of $88 by following this process:
1. Write the amounts given
of 
2. Divide the number by the denominator (bottom number) and then multiply by the numerator
÷ 
This means the discount was $22 and $88- $22 = $66, which is the price with the discount. Now, it is necessary to add the sales tax, which can be done by finding the 7% of $66 and adding this number to $66 (the price of the shoes including the 1/4 discount)
1. Write the values
66 = 100 (66 represents the total or 100%)
x = 7 (7% is the value you want to know and the x represents the value is not known)
2. Cross multiply
x 100 = 462
3. Find x
x = 462 ÷ 100
x = 4. 62 ( value of taxes)
Now, add the taxes to the price $66 + $ 4.62 = $70.62 (price with taxes). Finally, we know Devon paid using four $20 bills. This means he gave the clerk $80 ($20 x 4 = $80). Finally, to know how much is the change subtract the price of the shoes from the money Devon gave the clerk $80 - $70.62 = $9.38
Answer:
16ᵗʰ Term of the sequence is 1010
Step-by-step explanation:
7.)
Here,
First Term = a₁ = 5
Common Difference = d = 67
Now, For 16ᵗʰ term, n = 16
<em>aₙ = a + (n - 1)d</em>
a₁₆ = 5 + (16 - 1) 67
a₁₆ = 5 + 15 × 67
a₁₆ = 5 + 1005
a₁₆ = 1010
Thus, 16ᵗʰ Term of the sequence is 1010
<u>-TheUnknownScientist</u>
Answer:
1.) 8.09g ; 2) 206.7 years
Step-by-step explanation:
Given the following :
Half-life(t1/2) of Uranium-232 = 68.9 years
a) If you have a 100 gram sample, how much would be left after 250 years?
Initial quantity (No) = 100g
Time elapsed (t) = 250 years
Find the quantity of substance remaining (N(t))
Recall :
N(t) = No(0.5)^(t/t1/2)
N(250) = 100(0.5)^(250/68.9)
N(250) = 100(0.5)^3.6284470
N(250) = 100 × 0.0808590
= 8.0859045
= 8.09g
2) If you have a 100 gram sample, how long would it take for there to be 12.5 grams remaining?
Using the relation :
N / No = (1/2)^n
Where N = Amount of remaining or left
No = Original quantity
n = number of half-lifes
N = 12.5g ; No = 100g
12.5 / 100 = (1/2)^n
0.125 = (1/2)^n
Converting 0.125 to fraction
(1/8) = 1/2^n
8 = 2^n
2^3 = 2^n
n = 3
Recall ;
Number of half life's (n) = t / t1/2
t = time elapsed ; t1/2 = half life
3 = t / 68.9
t = 3 × 68.9
t = 206.7 years
