Answer:
Step-by-step explanation:
we have a rectangle that measure 21 inches by 16 inches
to find the rectangle(which is the hypotenuse) we will use Pythagorean theorem
c^=a^2+b^2
c^=21^2+16^2=697
c=[tex]\sqrt697}[/tex] =26.40 which rounded to the nearest tenth =26
Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and
13 cm.
A. Knowing that 52 + 92 < 122, draw the 5 cm side and the 9 cm side
with a right angle between them. The 12 cm side will fit to form a
right triangle.
B. Knowing that 52 + 122 = 132, draw any two of the sides with a right
angle between them. The third side will fit to form a right triangle.
C. Knowing that 52 + 122 = 132, draw the 5 cm side and the 12 cm
side with a right angle between them. The 13 cm side will fit to
form a right triangle.
D. Knowing that 92 + 122 # 132, draw the 9 cm side and the 12 cm
side with a right angle between them. The 13 cm side will fit to
form a right triangle.
To show the converse of the Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and 13 cm the procedure that can be used is : C. Knowing that 52 + 122 = 132, draw the 5 cm side and the 12 cm side with a right angle between them. The 13 cm side will fit to
form a right triangle.
In Option C, we are given the lengths 5 cm, 9 cm, 12 cm, and 13 cm. The converse of the Pythagorean theorem states that if the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
In this case, we have 52 + 122 = 132, which satisfies the condition for a right triangle according to the Pythagorean theorem.
By drawing the 5 cm side and the 12 cm side with a right angle between them, we can see that the 13 cm side will fit perfectly to form a right triangle. This demonstrates the converse of the Pythagorean theorem.
Option C is the correct procedure to show the converse of the Pythagorean theorem using the given side lengths.
For more such questions on Pythagorean theorem
https://brainly.com/question/343682
#SPJ8
HELP I NEED HELP ASAP BEFORE 11:59 PM
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
A is correct because u have to minus 18 if u want x to be by its self
b, is incorrect because we have to do the opposite of each operation since it’s addition its inverse is subtraction
c, incorrect cuz it only minuses 18 from one side but u have to minus from both sides
d, incorrect
the the the the the the the the the
Answer the times 9 = the the the the the the the the the
Step-by-step explanation: heck, free 5 points
Ms. Marques is buying boxes of tissues for her class. Each box costs $2.00. How many boxes can she buy with $14.00?
Answer: she can buy 7 boxes
Step-by-step explanation: 14 divided by 2 is 7
Help pleaseeeeeeeeee
Answer:
The value for X is 25
Step-by-step explanation:
I hope this helps you out!
WILL GIVE BRAINLIST PLEASE HURRY
Answer:
The smallest angle is the angle shown by 3x - 17 which ends up being 49°.
Step-by-step explanation:
The angles of a triangle add up to 180 degrees. We can write an equation and solve for x.
75 + (2x + 12) + (3x - 17) = 180
~Combine like terms
70 + 5x = 180
~Subtract 70 to both sides
5x = 110
~Divide 5 to both sides
x = 22
Using what we found for x, solve for the missing angles.
2x + 12
2(22) + 12
44 + 12
66
3x - 17
3(22) - 17
66 - 17
49
Best of Luck!
simplify the equations below
Answer:
Problem 1: 1/64x^8
Problem 2: y^8/9x^2
Step-by-step explanation:
In the first problem, you first need to multiply the -2 exponent to everything in the parenthesis. This is equal to 1/64x^4*-2, simplified to be 1/64x^-8. Finally you simplify the x to 1/64x^8.
For the second problem, you do the same in the first one, getting x^-2/9y^4*-2. This can be simplified to be 3x^-2/y^-8. Finally you make sure there is no negative exponents, so you do y^8/9x^2.
Answer:
1/64x^8 and y^8/9x^2
Step-by-step explanation:
hope this helps have a good night :)
A bag contains eleven balls labeled 1 through 11. One ball will be randomly picked. What is the probability of picking a multiple of 3? Write your answer as a fraction in simplest form.
Answer:
3, 6, 9 (the multiples of three within 11)
3 out of 11 numbers are multiples of 3
so you have a 3 out of 11 probability to grab a multiple of three
3/11 is your answer
Step-by-step explanation:
Probability of picking a ball of multiple of 3 is equals to (3/11).
What is probability?
" Probability is a mathematical expression which represents the ratio of number of favourable outcomes to the total number of outcomes."
Formula used
Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]
According to the question,
'B' represents the ball
Possible outcomes = { B₁, B₂, B₃, ...., B₁₀, B₁₁}
favourable outcomes multiple of 3 = { B₃, B₆, B₉}
Total number of outcomes= 11
Number of favourable outcomes = 3
Substitute the value in the formula we get,
Probability of picking ball multiple of 3 = ( 3 / 11)
Hence, probability of picking a ball of multiple of 3 is equals to (3/11).
Learn more about probability here
#SPJ2
Evaluate the follow expression. Use x = 3, y = 6
3 (x + y)
Answer:
3(x+y)=27
Step-by-step explanation:
3(3+6)
3(9)
27
Answer:
The answer to the question provided is 27
Step-by-step explanation:
x = 3
y = 6
3(x+y)
3(3+6)
3(9)
27
Marco needs to buy some cat food At the nearest store, 3 bags of cat food cost $16.50. How muc
would Marco spend on 5 bags of cat food?
Ship A sights ship B on a bearing of 308°. What is the bearing of A from B?
I need an explanation on how to do this please. I just learned this but I'm still confused.
Oh, and if you can, please include a picture!
Thank you!
Answer:
128°
Step-by-step explanation:
the answer is 128° i explained it as i could in the diagram hope you understand
answers for both boxes please
Answer:
(x,y)=(4,-1)Step-by-step explanation:
[tex]hope \: it \: helps[/tex]
I need help answers which recipe uses more flour per cookie and show how to solve it
Find the missing value
7/8 = x/28.8
WITH WORK
Answer:
[tex]\displaystyle x = 25.2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{7}{8} = \frac{x}{28.8}[/tex]
Step 2: Solve for x
Cross-multiply: [tex]\displaystyle 201.6 = 8x[/tex]Isolate x term: [tex]\displaystyle 25.2 = x[/tex]Rewrite: [tex]\displaystyle x = 25.2[/tex]Find the missing angle
Hey there!
31 is the answer
You simply do 96 - 65 = 31
Hope it helps and have a great day!
Addy works out with a 2.5 kilogram mass. What is the mass of the 2.5 kilogram mass in grams?
Answer:
The mass of the 2.5 kilograms mass in grams is 2,500 grams.
Calculate the area of trapezium CDEF.
Step-by-step explanation:
1/2×(9+5)×6
1/2×14×6
7×6
42cm2
Use similar triangles to calculate the height, h cm, of triangle ABE.
10 cm
D
36 cm
X
h
A А
E
20 cm
Answer:
h = 24 cm
Step-by-step explanation:
By using the similar triangle property in the given triangles,
Since, ΔBCD ~ ΔBAE
Their corresponding sides will be in the same ratio,
[tex]\frac{BC}{BA}= \frac{CD}{AE}= \frac{BD}{BE}=\frac{a}{h}[/tex]
[tex]\frac{CD}{AE}=\frac{a}{h}[/tex]
[tex]\frac{10}{20}=\frac{(36-h)}{h}[/tex]
10h = 20(36 - h)
10h = 720 - 20h
30h = 720
h = 24 cm
Therefore, height h = 24 cm is the answer.
Answer:
24
Step-by-step explanation:
I took the test
A recipe says to use 3 cups of flour to make 24 muffins what is the constant of proportionality that relates the number of muffins made why to the number of cups of flour used X? HELP PLEASE!
Answer:
8
Step-by-step explanation:
24 divided by 3 =8
Ryan bought a basketball for $115.00
Ryan sold the ball for $145.00
Find the percentage gain.
Answer:
26.087% increase
hope this helps ya :]
-8 + 2n + 14 = 4n - 16
Answer:
n=10
Step-by-step explanation:
I don't know if you are trying to fun 'n' but if you are seeing if they are equal, they are not
-6n+14 = 4n-16.
but if you are trying to find n,
n = 10.
use either box, foil, or distribution method in order to multiply and solve
(4m-6)(8m-4)
Answer:
You already know how to simplify an expression like
7
(
4
x
+
3
)
, right? Just use the distributive property to multiply 7 times 4x and then 7 times 3. This gives you an answer of
28
x
+
21
. Pretty simple. But - What if you have something like this:
(
4
x
+
6
)
(
x
+
2
)
? That's where we use the FOIL method. FOIL means First, Outside, Inside, Last. That's not too hard to remember if you say it in your head a few times.
You use FOIL to multiply the terms inside the parenthesis in a specific order: first, outside, inside, last. Here's how to solve
(
4
x
+
6
)
(
x
+
2
)
:
First - multiply the first term in each set of parenthesis:
First
4
x
∗
x
=
4
x
2
Outside - multiply the two terms on the outside:
Outside
4
x
∗
2
=
8
x
Inside - multiply both of the inside terms:
Inside
6
∗
x
=
6
x
Last - multiply the last term in each set of parenthesis:
Last
6
∗
2
=
12
Now just add everything together to get
4
x
2
+
14
x
+
12
. This method only works easily with two binomials. To multiply something complicated like
(
4
x
+
6
)
(
5
x
−
3
)
(
15
−
x
)
, just do FOIL on two of the binomials and then distribute the answer onto the remaining binomial.
Here are some more examples of FOIL multiplication:
Example:
Multiply the following:
(
6
x
+
1
)
(
2
x
+
9
)
Solution:
Just follow the letters in FOIL:
First:
6
x
∗
2
x
=
12
x
2
Outside:
6
x
∗
9
=
54
x
.
Inside:
1
∗
2
x
=
2
x
.
Last:
1
∗
9
=
9
.
Sum it all up and you get:
12
x
2
+
56
x
+
9
.
Example:
Multiply the following:
(
2
x
−
5
)
(
x
−
4
)
Solution:
Just follow the letters in FOIL:
First:
2
x
∗
x
=
2
x
2
Outside:
2
x
∗
(
−
4
)
=
−
8
x
Inside:
−
5
∗
x
=
−
5
x
Last:
(
−
5
)
∗
(
−
4
)
=
20
Sum it all up and you get:
(
2
x
2
−
13
x
+
20
)
.
The FOIL method is not too difficult to learn once you remember what it stands for. Just repeat first, outside, inside, last and you'll remember it. Other than that, it's just a matter of multiplying each of those steps and adding everything together. Even if the numbers are really ugly with fractions and negative signs and such just follow the steps and the method will work.
Step-by-step explanation
Every month Jimmy makes $170 in mowing lawns. He divides his money into two equal amounts and spends one part. The other part goes in his bank account. After 1 year of mowing lawns, how much money has Jimmy saved?
Answer:
$1020
Step-by-step explanation:
1/2 of 170 is 85.
85 x 12 = 1020
WOOOO!!!!
092MLBO
Answer: $1020
Step-by-step explanation:
170*12 = 2040
2040/2 = 1020
Which of the following expressions are equivalent to 4 to the third radical
Answer:
good luck.......................
You sell bracelets for $2 each and necklaces for $3 each at a local flea market.
You collect $95, selling a total of 37 jewelry items. How many of each type of
jewelry did you sell?
Use the distributive property to remove the parentheses.
2(x-9)
Answer:
2x-18
Step-by-step explanation:
The distributive property has you mulitply the outside number by the inside numbers. 2 multiplied by x is 2x, and 2 multiplied by 9 is 18. We keep the subtraction symbol, this gives us 2x-18.
The cost to manufacture x chairs can be represented by the function
C(x) = 36x. Circle the pair of numbers (one in each box) that correctly
completes the statement about the function.
If C(63) = 2268, then (0, 6, 63, 378) chairs cost $(6, 189, 378, 2,268)
Answer:
It means that it requires 2268 to manufacture 63 chairs, (because it costs 36 to manufacture one chair).
Step-by-step explanation:
Please I need help math
Answer
y=4
y=2x-1
Step-by-step explanation:
Y is the vertical axis
ANSWER NOW AND YOU GET 12 and ill answer one of ur questions
Answer Im going to geuss the last, Im not sure but it looks right.
Step-by-step explanation: heres my question--> https://brainly.com/question/20473783
Since people are sad they missed my 50 points, here is 100 points for the first 2 to answer. First one gets branliest aswell.