<em>c = 10</em>
Step-by-step explanation:
We can find out the missing side of a right triangle by using the Pythagorean theorem.
The Pythagorean theorem is...
We can even double check the first problem by plugging in everything into the theorem and solving, everything will come out correct. We can plug in the numbers from the second problem into the theorem and find c, also please note that the hypotenuse of a triangle will <em>always </em>be c. It doesn't matter which you put in for a or b, but since the problem gives us which one is a and which one is b, I'll just be plugging it in like that.
A lot of people will stop here and think that the answer is 100, but you need to find the square root of 100, since c is squared. The square root of 100 is 10, so...
<em><u>c = 10</u></em>
2)
A: 5
B: 9a & a (from a/6)
C: -5 & ÷4
D: -5 & 9a
I haven't done algebra in a year, so don't think my answers are perfect!
definitions:
term: something separated by a sign/symbol (÷, ×, - +) (a/6 are two separate terms, ÷)
constant terms: variables that can be solved.
unlike terms: terms that don't "go" together, you can't subtract 5 from 9a because there's a variable in the way (eyy that rhymes)
like terms: terms that you can add/subtract/multiply/divide to another term
(another answer to c is 9a & a)
Answer:
Simplifying
9x + 7 = 5x + -3
Reorder the terms:
7 + 9x = 5x + -3
Reorder the terms:
7 + 9x = -3 + 5x
Solving
7 + 9x = -3 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
7 + 9x + -5x = -3 + 5x + -5x
Combine like terms: 9x + -5x = 4x
7 + 4x = -3 + 5x + -5x
Combine like terms: 5x + -5x = 0
7 + 4x = -3 + 0
7 + 4x = -3
Add '-7' to each side of the equation.
7 + -7 + 4x = -3 + -7
Combine like terms: 7 + -7 = 0
0 + 4x = -3 + -7
4x = -3 + -7
Combine like terms: -3 + -7 = -10
4x = -10
Divide each side by '4'.
x = -2.5
Simplifying
x = -2.5
make me brainiest plz!!!
Step-by-step explanation:
Answer:
Area of the figure = 254.5 cm²
Step-by-step explanation:
<u><em>Area of rectangle = Length × Width</em></u>
<u><em>Area of triangle = 1/2(base × Height)</em></u>
<em>Dividing the figure into parts for convenience</em>
So,
Rectangle 1 (the uppermost):
4 × 6 = 24 cm²
Rectangle 2 (below rectangle 1):
15 × 8 = 120 cm²
Rectangle 3 (with rectangle 2):
11 × 4 = 44 cm²
Triangle 1 :
1/2(7 × 19) = 133/2 = 66.5 cm²
<em>Now adding up all to get the area of the figure:</em>
Area of the figure = 24 + 120 + 44 + 66.5
Area of the figure = 254.5 cm²
Answer:
$843.67
Step-by-step explanation:
1% = 7.8848
7.8848 x 7 = 55.1936
788.48 + 55.1936 = 843.6736
Rounded to nearest cent = $843.67
