An architect is making a floor plan for a rectangular gymnasium. If the gymnasium is 80 feet
long and 60 feet wide, what will the distance be between opposite corners?
feet
Answer:
160
Step-by-step explanation:
the length betwenn side to side woukd be 160
Answer:
The answer is 100
Step-by-step explanation:
a² + b² = c²
80²+60²=c²
6,400+1,200=c²
√6,400=√c²
subtract 1,200 - 6,400= 5,200
c2=72.1
6 in.
4in.
8in.
find the area
Answer:
192 in 2. multiply all of the numbers together
Step-by-step explanation:
6x4x8=192
What is the image of the point (9, – 7) after a rotation of 270° counterclockwise
about the origin?
Answer:
The image if the point is (-7, -9)
Step-by-step explanation:
If The point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)If the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y)If the point (x, y) rotated about the origin by angle 270° counterclockwise, then its image is (y, -x)∵ The given point is (9, -7)
∴ x = 9 and y = -7
∵ The given point is rotated 270° counterclockwise about the origin
→ By using the third rule above
∴ The image of the point is (y, -x)
→ That mean change the sign of x-coordinate, then switch them
∵ x = 9 and y = -7
∴ The image if the point is (-7, -9)
The Richardson family is out to dinner at their favorite restaurant. The bill comes to $28.85. How much money should they leave for the bill and a 20% tip?
Please I need help math
Answer
y=4
y=2x-1
Step-by-step explanation:
Y is the vertical axis
solve the system
y=x+5
y=-3x+1
The solution is (__,__)
Can someone help me pleas
A piece of wood is 0.9 metres long.
It is cut into three unequal pieces.
The first piece is 0.2 metres longer than the second piece.
The third piece is 23 hundredths of a metre shorter than the second piece.
How long is each piece of wood?
Answer:
The length of the first piece is 0.51 m
The length of the second piece is 0.31 m
The length of the third piece is 0.28 m
Step-by-step explanation:
The question is a simultaneous equation with word problem
The total length of the wood = 0.9 m
The number of pieces the wood is cut into = 3
The length of the first piece = 0.2 m + The length of the second piece
The length of the third piece = The length of the second piece - 0.23 m
Let "y" represent the length of the second piece, let "x" represent the length of the first piece, and let "z" represent the length of the third piece, we have;
x = 0.2 + y...(1)
z = y - 0.23...(2)
x + y + z = 0.9...(3)
Therefore, by substitution, we have;
0.2 + y + y + y - 0.23 = 0.9
3·y - 0.03 = 0.9
3·y = 0.9 + 0.03 = 0.93
y = 0.93/3 = 0.31
y = 0.31
The length of the second piece = y = 0.31 m
From equation (1), we have;
x = 0.2 + y = 0.2 + 0.31 = 0.51
x = 0.51
The length of the first piece = x = 0.51 m
From equation (2), we have;
z = y - 0.23
z = 0.51 - 0.23 = 0.28
z = 0.28
The length of the third piece = z = 0.28 m.
ayo someone help me please
Answer:
B. [tex]y= \left \{ {{x^{2}+4,\,x< 2 } \atop {-x+4,\,x \ge 2}} \right.[/tex]
Step-by-step explanation:
The piecewise function consists in two functions:
(i) A vertical parabola directed in the +x direction and centered at [tex]V(x,y) = (0, 4)[/tex] for all [tex]x \in (-\infty, 2)[/tex]. That is:
[tex]y = x^{2}+4[/tex], [tex]x < 2[/tex]
(ii) A line with negative slope for all [tex]x \in [2, +\infty)[/tex].
[tex]y = -x+4[/tex], [tex]x \ge 2[/tex]
The correct answer is B.
The equation 4x + 2 has a domain of {0,3,6), what is the range
Domain is basically an input while Range is an output. Domain is the set of all x-values while Range is the set of y-values.
[tex]\large \boxed {domain} = > \large \boxed{range}[/tex]
From input to output. That means from if we substitute domain in the equation, we would get range.
Substitute x = 0,3 and 6 in the equation.[tex]f(x) = 4x + 2 \\ f(0) = 4(0) + 2 = 0 + 2 = 2 \\ f(3) = 4(3) + 2 = 12 + 2 = 14 \\ f(6) = 4(6) + 2 = 24 + 2 = 26[/tex]
We input the value of x that are given and we get the value of f(x) which is the output at the specified domain.
AnswerRange[tex] \large \boxed{2, 14, 26}[/tex]
PLEASE HURRY AND ANSWER WILL MARK BRAINIEST WHEN I CAN!!!!!
Answer:
Choice 2 and 4 should be the answer
Step-by-step explanation:
For choice 2: both started away from home and finished at home.
For choice 4, Peter is farther away from home than Camilla, but they reached home at the same time which proves that Peter is faster.
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
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.
Consider the system of equations: y=3x & y=3x+12. How many solutions does the system have?
A) One Solution
B) No Solution
C) infinite Solutions
1 23/24 as an improper fraction
Answer:
47/24
Step-by-step explanation:
24x1 = 24
24+23 = 47
47/24
Answer:
47/24
Step-by-step explanation:
just add 24 to the 23 and you'll get your answer.
Find the value of x in rectangle BCDE.
Find Value of x.
Answer:
34
Step-by-step explanation:
Answer:
x=34
Step-by-step explanation:
2x=x+34
-x -x
x=34
TADA! :D
(I NEED IT NOWWWWW HURRYYYY)You have half of your pens in your backpack. You give half of these to your friend, Alex. What fraction of your total pens did you give Alex?
Answer:
1/4 of ur pens
Step-by-step explanation:
Help me out i need help
Answer:
false, true and false
Step-by-step explanation:
Determine the intercepts of the line
7x-5=4y-6
x intercepts: ( , )
y intercepts: ( , )
Answer:
x-intercept: -1/7
y-intercept: 1/4
Step-by-step explanation:
change equation into standard form: 7x - 4y = -1
set 'x' to zero and solve for y: 0 - 4y = -1
y = 1/4
set 'y' to zero and solve for x: 7x - 0 = -1
x = -1/7
(WILL GIVE BRIANLIEST TOO FOR THE CORRECT ANSWER!)
TRUE OR FALSE FOR EACH QUESTION
1. The units for mass are based on Newtons.
2. The units for length are based on meters.
3. Area = width x length
69 points!
Help pleaseeeeeeeeee
Answer:
The value for X is 25
Step-by-step explanation:
I hope this helps you out!
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:
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
What is the equation ?
Answer:
[tex]y=1/3x[/tex]
Step-by-step explanation:
It's positive, and it goes up once for every three times it goes to the right.
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 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
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!
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
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Help me with my khan academy!
Answer:
the answer will be a because its on top of it
Answer:
E, I hope this helps :D
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]