Answer:
180 -angle BCD
Step-by-step explanation:
if you've found angle BCD you should be able to find angle DCE as angles on a straight line equal 180°
The system of equation that can be used to represent the situation is as follows:
The number of water bottle bought = 6
The number of pretzel bought = 10
Let
x = number of water bottle bought
y = number of pretzel bought
Hanson buys 16 items. Therefore,
Hanson spends a total of $47. Therefore,
<h3>Combined System of equation:</h3>
Therefore, let multiply equation(i) by 2
2x + 2y = 32
2x + 3.5y = 47
1.5y = 15
y = 15 / 1.5
y = 10
x + 10 = 16
x = 6
learn more on system of equation: brainly.com/question/20313322?referrer=searchResults
Solution
To solve this addition of fractions we are gonna apply the fraction rule which is;
a/c + b/c = (a + b)/c
2/11 + 1/11 = (2 + 1)/11
= (2 + 1)/11 + 2/7
Now add the numerators 2 + 1
= (2 + 1)/11 + 2/7
= 3/11 + 2/7
Now we find the least common multiple
The least common multiple of 11 and 7 is 77.
But before that we cross multiply the numerators.
3 * 7 = 21
2 * 11 = 22
Now the ajustes fraction is;
21/77 + 22/77
Apply the fraction rule which is;
a/c + b/c = (a + b)/c
= (21 + 22)/77
Now we add the numerators.
43/77
Therefore the answer in fraction is 43/77 and in decimal form it is 0.55841
Answer:
all real numbers
Step-by-step explanation:
Both a(x) and b(x) are polynomials. The set of polynomials is closed on multiplication, so (b•a)(x) will also be a polynomial. <em>All</em> polynomials are defined for <em>all real numbers</em>. The domain is the set of input values (x) for which the function is defined.
The domain of (b•a)(x) is all real numbers.
Answer:
x = 18 and y = 6√10
Step-by-step explanation:
First using pythagoras theorem on the small triangle
h² = 6² + 2²
h² = 36 + 4
h² = 40
h= √40
h = √4 * 10
h = 2√10
Using the similarity theorem;
y/2√10 = 6/2
y/√10 = 6
y = 6√10
To get x we will use the pythagoras theorem
y² = x²+6²
(6√10)² = x² + 36
360 = x² + 36
x² = 360 - 36
x² = 324
x = 18
Hence x = 18 and y = 6√10
