For each question, solve for the length of the unknown side, as
denoted by the variable. You may round your answers to the nearest
tenth, if necessary. Make sure you show all steps needed to solve the
problem.
Answers
Answer:
[tex]a=9[/tex]
Step-by-step explanation:
In this problem, you can use the Pythagorean Theorem ([tex]a^{2} +b^{2} =c^{2}[/tex]) to find what a is. The steps are shown below:
Steps (variables a, b, and c are in italics):
-You can rearrange the formula from the Pythagorean Theorem, which is[tex]a^{2} +b^{2} =c^{2}[/tex] to only get a because we want to know what a is.
Rearranged: [tex]a=\sqrt{c^{2}-b^{2} }[/tex] or [tex]a=-\sqrt{c^{2}-b^{2} }[/tex] It has to ways/options for a because when finding the square root of a number, it can be either positive or negative. But in this problem, it’s going to be positive because we’re finding the length of something.
-Since we know what c and b are, you can plug them into the new formula:
[tex]a=\sqrt{15^{2}-12^{2} }[/tex]
-Simplify it:
[tex]a=\sqrt{225-144}[/tex]
-Subtract inside the radical:
[tex]a=\sqrt{81}[/tex] Then simplify it to get [tex]a=9[/tex].
You can check your answer by putting a back into the original Pythagorean Theorem formula ([tex]a^{2} +b^{2} =c^{2}[/tex]):
Steps
-Plug a, b, and c into the formula [tex]a^{2} +b^{2} =c^{2}[/tex]:
[tex](9)^{2} +(12)^{2} =(15)^{2}[/tex]
-Simplify to get:
[tex]81+144=225[/tex]
-Add:
[tex]225=225[/tex] This is very true. So our answer is correct.
ANSWER: [tex]a=9[/tex]
Sorry for the long explanation, but I hope you understand and that this helps with your question! :)
Answer:
a = 9Step-by-step explanation:
lets make is short and simple
Pythagorean theorem: a² + b² = c²
a² + 12² = 15²
a² = 15² - 12²
a = √81
a = 9
Related Questions
Heeeelp plz I really need help fast!!
Answers
Answer:
D E F
Step-by-step explanation:
Have a good day :)
Answer is E 42/48 and 20/48
Answer is F 84/96 and 40/96
how to solve (8+8) + (5x3) Please I need help
Answers
Answer:
(8+8)=16 + (5x3)=15
Step-by-step explanation:
so 16+15=31 all you have to do is parenthesis first then do whatever is in the middle last
help!!! ill give brainliest!!
Answers
Answer:
4.123
Step-by-step explanation:
Just have to think what times itself = 17 and I thought well Istill close to 4 and then I just did the work
also PLZ MARK ME BRAINLIEST
Please I need help on this anyone
Answers
Answer:
98
Step-by-step explanation:
with the rule "corresponding angles are equal" it means that "d" and "f" are equal.
and since "f" is on the other side of 82, on a straight line, you can calculate "f".
82 and "f" would have to add up to 180' since they are on a straight line.
So you do 180 - 81 = f
and get 98.
and since "f = d"
d = 98 degrees
If a class of 30 students have to split the boys and girls in hafe and 10% are girls, how meany girls are in the class
Answers
Answer:
10 girls
Step-by-step explanation:
Jamaal has $67.59 in his bank account. He goes to the mall and buys the following:
• Shades - $18.99
• Slides - $35.27
• Lunch - $12.47
• Headphones - $14.08
if Jamaal's bank charges a $10 fee for going negative on his account, how much will Jamaal need to deposit into his account in order to get back to a 50
balance, including the late fee?
Answers
Answer:
about 74
Step-by-step explanation:
he is about -13.58 in debt i belive so 10$ for the negative charge plus the in dept money and the 50 they would need around $74.
double check with a calculator
Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days.
Answers
Answer:
L = -0.5x + 34
Step-by-step explanation:
When finding m in the formula y = mx + b. Find a word that means multiplication, in this case 0.5 feet per day.
LOOK AT THE PICTURE
Please help I’m on a test will mark brainliest!
Answers
Answer:
2/7
Step-by-step explanation:
You have to flip the fraction to check, you see what times 3 gets you six... 2!
then what times one gets you 7.. 7! and that how you get 3/7
Write the equation of the line perpendicular to y = -5/2x + 1 that passes through the point (-5, -5).
Answers
Answer:
y = 2/5x - 3
Step-by-step explanation:
First, we have to know what the slope is. Being perpendicular to -5/2, the slope becomes 2/5.
Then, you substitute the slope and given point into the equation to find the y-intercept.
y = 2/5x + b
(-5) = 2/5(-5) + b
(-5) = (-2) + b
b = -3
So, the equation is
y = 2/5x - 3
The equation of the line perpendicular to y = -5/2x + 1 that passes through the point (-5, -5) is y = 2/5x - 3.
We have the Equation,
y= -5/2x + 1
Here, the slope is -5/2.
Since perpendicular line have negative reciprocal of the slope of the given line.
So, the slope of the line perpendicular is 2/5.
Using point-slope form of the equation to find the equation of the perpendicular line.
The point-slope form is given by:
y - y1 = m(x - x1)
Using the point (-5, -5) and the slope 2/5,
y - (-5) = 2/5(x - (-5))
y + 5 = 2/5(x + 5)
y + 5 = 2/5x + 2
y = 2/5x - 3
Therefore, the equation of the line perpendicular to y = -5/2x + 1 that passes through the point (-5, -5) is y = 2/5x - 3.
Learn more about Slope here:
https://brainly.com/question/3605446
#SPJ6
Please help me I am bad at math!
Group the terms together and solve.
-6 -8c = 3c + 16
A. 242
B. -4.4
C. -2
D. 10/11
Sorry if this is easy
Answers
Answer:
I got C.
Step-by-step explanation:
Calculator.
Answer:
C. -2
Step-by-step explanation:
Subtract 3c from -8c, and add -6 to 16 to simplify the equation.
PLEASE HELP ASAP!!! VERY EASY!
Lucia draws a square and plots the center of the square. She claims that any rotation about the center of the square that is a multiple of 45 will carry the square onto itself
Answers
Answer:
The second lucia’s claim is correct since any rotation that are multiple of 45 carry a square onto itself.
Step-by-step explanation:
Answer:
Lucian claim is incorrect because not all rotations that are multiples of 45 degrees carry a square onto itself
Step-by-step explanation:
90 degrees carries a square into itself and it IS a multiple if 45. But 45 degrees cannot carry a square into itself.
(I NEED HELP THIS IS A TEST)
Use the known lengths of the squares that form the right triangle
to find the length x of the third square.
A 15ft
B 5ft
C 1.5ft
D 5.5ft
Answers
Answer:
b 5ft
Step-by-step explanation:
a cone a cylinder and a sphere all have the same radius and the same height. which would have the largest volume?
Answers
I WILL GIVE BRAINLIEST THIS IS EASY PLS HELP ASAP
Match each term with its definition.
Perpendicular lines?
Angle?
Line segment?
Parallel lines?
Circles?
Answers
Ah bg de cf
Step-by-step explanation:
i think thats how you do it becuse i did that
For B the answer is 3
For C the answer is 5
For D the answer is 1
For E the answer is 2
(4,6), (73),(4,2),(-3.3),(0, 8)
Is this relationship a function?
Answers
Question 4 asap thanks
Answers
Answer:
20x+45x+50 = 180
65x= 130
x = 2
so,
A = 20x = 20×2 = 40
hope u got it.
what is the missing term in the factorization?
18m^2-200 2(3m-10)(3m+?)
A). -100
B). -10
C). -3
D). 3
E). 10
Answers
Answer:
2 ( 3m -10) (3m+10)
Step-by-step explanation:
18m^2-200
Factor out 2
2 ( 9m^2 -100)
We recognize that this is the difference of squares ( a^2 -b^2) = (a-b)(a+b)
2 ( ( 3m)^2 - 10^2)
2 ( 3m -10) (3m+10)
Algebra 1 Final Exam 2020
A repair bill for your car is $850. The parts cost $325, and the labor cost is $55 per hour. What is the context of the slope?
Answers
The parabola with the vertex at (5,5) and a focus (7,5) would open
Answers
Answer:
Up. The focus is above the vertex meaning the parabola will open up. If the focus was below the parabola then it would open down.
Step-by-step explanation:
Help please !!!! I’ll give u brainliest
Answers
Answer:
they all have 3 points seeeee
Helppppppppppp!!!!!!!!!
Answers
Answer:
[tex]m=\frac{3}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, -1)
Point (0, -4)
Step 2: Find slope m
Substitute: [tex]m=\frac{-4+1}{0-2}[/tex]Add/Subtract: [tex]m=\frac{-3}{-2}[/tex]Simplify: [tex]m=\frac{3}{2}[/tex]Each of the 6 people in mandy's family orders 2 tacos. Each taco cost 3$. What is the total cost of the tacos?
Answers
Answer:
36
Step-by-step explanation:
6 x 2= 12
12 x 3= 36
Which quadratic is best solved by taking the square root?
Answers
Answer:
x^2 - 9 = 0
Step-by-step explanation:
it is best to use square root method when there is no b value. in this equation, there is no b, only an a and c
HURRY WILL MARK YOU BRAINLIEST RIGHT ANSWER ONLY
Answers
Answer:
Step-by-step explanation:
set the two equations equal to each other then solve for n
6n + 3 = 4n + 11
2n = 8
n = 4
plug n in for both equations
6(4) + 3
24 + 3 = 27
4(4) + 11
16 + 11 = 27
27 + 27 = 54
the distance is 54
2x - 5y = -22
x + 7y =27
Answers
Answer:
-3/2x + 2.5
Step-by-step explanation:
Miguel places his 13-foot ladder 5 feet from the edge of his house. How high does the ladder reach? A. 8 feet B. 12 feet C. 13.9 feet D. 144 feet E. 194 feet
Answers
Answer:
A - eight feet
Step-by-step explanation:
20 character rule can be dumb sometimes
The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. The height of the house is 12 feet, then the correct option is B.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
Miguel places his 13-foot ladder 5 feet from the edge of his house.
Then the height of the house is given by the Pythagoras theorem.
P² = H² - B²
P² = 13² - 5²
P² = 169 - 25
P² = 144
P = 12
Then the height of the house is 12 feet.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
i need help 5+(−4)+(−7)+2
can you guy help me for this questions
Answers
Answer:
-4
Step-by-step explanation:
first remove the parentheses
5-4-7+2
then calculate the sum or difference
-4
Mrs. Eng bought 4 packs of glue sticks. Each pack has 5 glue sticks.
Her class uses 2 of the glue sticks for a project.
Answers
Answer:
18 glue sticks are left
Step-by-step explanation:
Full Question:
Mrs. Eng bought 4 packs of glue sticks. Each pack has 5 glue sticks. Her class uses 2 of the glue sticks for a project. How many glue sticks are left?Calculations:
4 x 5 = 2020 - 2 = 18Answer: There are 18 gluesticks left.
Explanation: 4 times 5 equals 20, and taking away 2 would equal 18.
What is the y-intercept of the equation?
Answers
please please help i’ll give brainliest tysm:))
Answers
Answer:
140
Step-by-step explanation:
Answer:
It would be 140!
Step-by-step explanation:
70% Of 200 = 140!