A rectangular rug divided by its diagonal becomes a right angle triangle
The length and width of the rug is 14.1 feet by 11.1 feet
A right angle triangle has the longest side as the hypotenus which is also the diagonal.Diagonal = 18 feet
width = x
length = x + 3
diagonal ² = length ² + width ²
18² = x² + (x + 3)²
18² = x² + x² + 6x + 9
324 = 2x² + 6x + 9
2x² + 6x + 9 - 324 = 0
2x² + 6x - 315 = 0
solve using quadratic formula
x = - b ± √b² - 4ac / 2a
= - 6 ± √6² - 4×2×-315 / 2×2
= -6 ± √36 - (-2520) / 4
= -6 ± √36 + 2520/4
= -6 ± √2556 / 4
= - 6 ± 6√71 / 4
= -6/4 ± 6√71 / 4
= -3/2 ± 3√71/2
x = 11.1392 or -14.1392
The value of x can't be negative
So,
x = 11.1 to the nearest tenth
Therefore, the value of width and length is
width = x
= 11.1 feet
length = x + 3
= 11.1 + 3
= 14.1 feet
Learn more about Pythagoras theorem:
https://brainly.com/question/20545047
use the long division method to divide 120÷24
Step-by-step explanation:
120÷24
0 24⟌120
0 24⟌120 0
0 24⟌120 -0 1
00 24⟌120 -0 12
0 24⟌120 -0 12
00 24⟌120 -0 12 - 0 12
00 24⟌120 -0 12 - 0 120
Mr. Smith charged Jill $320 for parts and $150 per hour for labor to repair her bicycle. If he spent 3 hours repairing her bike, how much does Jill owe him? Write an expression and show your work and answer.
Answer:A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour.
Step-by-step explanation:
had this question
help me please!!!!!!!!!!!
Answer:
I did mostly everything for you bestiieee on the pictureee :3
Step-by-step explanation:
hope this helped :3
:3 byeeeeeeeeeee
which of the following is not a true dilation?
A. The image and preimage have congruent angles
B. The image and preimage have proportional sides
C. The image and preimage are congruent
D. The image and preimage are similar
Answer:
umm i think it is B.
Step-by-step explanation:
7⋅5+(4^2−2^3)÷4 answers: 49 41 34 9
On evaluating the given expression 7.5 + (4² − 2³) ÷ 4, we get 9.5 as the result.
What is Expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. For example -
5x + 7 = 6
7r + π = 4
Given is the following expression -
7.5 + (4² − 2³) ÷ 4
The given expression is -
7.5 + (4² − 2³) ÷ 4
Using the BODMAS rule, we can solve -
7.5 + (16 - 8) ÷ 4
7.5 + 8 ÷ 4
7.5 + 2
9.5
Therefore, on evaluating the given expression 7.5 + (4² − 2³) ÷ 4, we get 9.5 as the result.
To solve more questions on evaluating expressions, visit the link below-
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PARALLEL PERPENDICULAR OR NEITHER OR SAME slope
Answer:
21. Same Line
22. Same Line
23. Perpendicular
24. Neither
25. Parallel
26. Neither
27. Neither
28. Neither
29. Perpendicular
30. Perpendicular
31. Neither
32. Perpendicular
33. Parallel
34. Perpendicular
35. Perpendicular (?)
36. Neither
37. Neither
38. Parallel
39. Neither
40. Parallel
If you have one quarter, nine pennies, six dimes, and one nickle, how much money would you have?
Answer:
99 cents
Step-by-step explanation:
one quarter=25 cents
nine pennies= 9 cents
six dimes= 60 cents
one nickle= 5 cents
25+9+60+5=85+14=99
Answer:
99 cents
Step-by-step explanation:
quarter = 25 cents
pennie = 1 cent
dime = 10 cents
nickle = 5 cents
1 quarter = 25 cents
9 pennies = 9 cents
6 dimes = 60 cents
1 nickle = 5 cents
25 + 9 + 60 + 5 = 99 cents
How to multiply mixed fractions with same denominators.
Answer:
multiply the numerators; express that product over the product of the denominators
Step-by-step explanation:
Multiplication of fractions is done the same way regardless of whether the denominators are the same or different.
[tex]\dfrac{a}{b}\times\dfrac{c}{d}=\dfrac{ac}{bd}[/tex]
The numerator of the product is the product of the numerators.
The denominator of the product is the product of the denominators.
find the area of each of the following polygons. aj 1 cm b) 1 cm c 1 cm 1 cm
Answer:
1 cm
Step-by-step explanation:
What is the scale factor from ABC to XYZ?
A 1/5
B 1/6
C 5
D 6
Answer:
Is 6
Step-by-step explanation:
5X6=30
3X6=18
4X6=24
How to do the 9 multiplication trick.
Answer:
0123456789
9876543210
Step-by-step explanation:
09
18
27
36
45
54
63
72
81
90
Answer:
Step-by-step explanation:
for each 9 you add, take away 1 from the first number and add 10, like
81
72
63
52
41
32
23
18
9
9i⋅(−4−7i) Your answer should be a complex number in the form a+bi where a and b are real numbers.
Answer:
see below
Step-by-step explanation:
here we are using the distributive property and noting that i^2=-1 so the answer is -36i-(63i^2) or -36i+63
what are the values of each variable
Answer:
Step-by-step explanation:
How many of the following statements are true?
19)
a
d Any set of ordered pairs is a function.
d The domain of a relation is the set containing the first
member of its ordered pairs.
d The independent variable in a relation is the variable
used for the range.
d A function is a relation in which each domain value is
paired with exactly one range value.
A) 1
B) 2
C) 3
D) 4
Answer:
A) 1
Step-by-step explanation:
yeah-ya,.................. right?
Please translate each algebraic expression to English phrase
1. x - 8
2. 13 + 2y
3. 4 ( x+ 5)
4. 7x
5. m + 6
Select all the options that have the same value as 3 1/2% of 20
Answer:
0.7, 7/10
Step-by-step explanation:
3.5% of 20 would be 3.5/100x20 = 3.5/5 = 0.7. Also, 0.7 = 7/10.
plss help i'll give 80 points!! no links please
Answer:
domain [-1, ∞)
range [ -3, ∞)
Step-by-step explanation:
Brainliest?
A curve has the equation y = x^3 – 3x + 2
Find the coordinates of the two turning points. Please help ❤️
Answer:
PLEASE MARK ME BRAINLIEST!!!
Step-by-step explanation:
moddedcraftxdepic
02/28/2021
Mathematics
High School
answered
Y= x^3 + 8x^2 +5x
work out the coordinates of the two turning points 1
A rectangular prism is 7.1 millimeters long and 10 millimeters high. Its volume is 213.0 cubic millimeters . What is the width of the rectangular prism?
Answer:
5 milimeters
Step-by-step explanation:
can anyone help me with this?
Find the missing angle measure.
Answer:
116
Step-by-step explanation:
Given shape has 6 angles and the sum of interior angles for this shape is calculated as following:
180*(6-2) = 720 now to find x we need to find the sum of given angles first:
144 + 163 + 50 + 131 + 126 x = 720
614 + x = 720 subtract 614 from both sides
x = 116
What is the slope of the line?
Step-by-step explanation:
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
the trick in such a situation is to find good points on the chart that are crossed by the line. and by "good" I mean points with round integer coordinates.
I see 2 such points :
(-3, 4) and (1, -3)
x changes by +4 (from -3 to 1)
y changes by -7 (from 4 to -3)
the slope is therefore -7/+4 = -7/4
You are solving 5 – 8/3
=y/3
. Which equation will you get if you multiply both sides by 3?
Answer:
y=0.76
Step-by-step explanation:
5-8/3 = 3y
(5-8/3) x 3 = 3y x 3
6.9=9y
9y=6.9
y=6.9/9
y=0.76
-----------------------------------------------------------
Standard form / Slope intercept form
_____________1. 3x -y = 7
_____________2. y = 5x - 2
_____________3. 2x + y = -4
_____________4. y = - ¾ x + 1
_____________5. 4 x - y = -8
_____________6. y= -x + 9
_____________7. 3x + 6y = 12
_____________8.y = ⅔x + 5
-----------------------------------------------------------
Answer:
1.) y=3x-7
2.) 2=5x-y
3.) y=-4-2x
4.) 1=3/4x+y
5.) y=4x+8
6.) 9=3/4x+8
7.) 9=y+x
8.) y=-2/6x+2
9.) 5=-2/3x+y
Step-by-step explanation:
Standard form is Ax=By=C and Slope form is y-mx+b
for all of the equations fiqure out which is standard and which is slope, 3x-y=7 is standard and just switch it to slope ie:
3x-y=7
+7 -7
3x-7=y
then switch around so y is in the front and vice versa, also divde any y or C by negative 1 if the answer is negative or if there is a number in front of it like in 9, and 8
Evaluate the expression below.
5^{0}5
0
The 5-0-5 Agility Test is one of the most commonly recognised agility tests, despite its inability to actually measure agility. Instead, this is a change of direction speed test, which contrary to common belief, may not be capable of distinguishing between dominant and non-dominant leg performances.
Describe if the function is linear, exponential, or neither. Explain how you can tell
Pls help will give 10 pts
Answer:
276 guests
Step-by-step explanation:
Let the number of guests be n. We are to find the value of n.
Then (1/3)n + (5/12)n + 69 = n, or
(9/12)n + 69 = n or (12/12)n
Solving for n, we get (3/12)n = 69, or (1/12)n = 23, or n = 12(23) = 276
There were 276 guests at the wedding.
Check: Does (1/3)(276) + (5/12)(276) + 69 work out to 276? yes
PLEASE HELP ME OUT!!!
Convert the following
0.005 kg = _____ dag
0.075 m = ______ cm
Answer: 0.5 dag and 7.5 cm
Step-by-step explanation:
1 Decagram (dag) =10^-2 kg
We can change this into a conversion factor by dividing either side into the other. Since we want to change Kg into dag, I'll divide both sides by 10^-2kg:
1 Decagram (dag)/10^-2 kg = 1
Now we can multiply this times 0.005 kg:
(0.005 kg)*(1 Decagram (dag)/10^-2 kg)
this equals 0.5 dag
------------
100 cm = 1 meter
(100 cm/1 meter): Conversion factor
(0.075 m)*((100 cm/1 meter) = 7.5 cm
Jon ate 1/3 of a bag of candies and Monica ate 1/4 of the bag. What fraction of the bag of candies did they eat?
Answer:
13 AND 14
Step-by-step explanation:
THERE IS NO PICTURE OR ANY ANSWERS
Graph the equation.
How do you do the elimination method on these equations: 3x = y+5 and 2x+y=5
Answer:
[tex](2,1)[/tex]
Step-by-step explanation:
Let's first write down the first in traditional form:
[tex]\left \{3x-y=5} \atop {2x+y=5}} \right.[/tex]
At this point, let's choose the order we want to do it.
Eliminating x: Let's multiply the first by 2, the second by 3, and subtract one from the other. Rest is simple algebra
[tex]2I-3II: 6x-2y -6x-3y = 10-15\\-5y=-5 \rightarrow y=1[/tex]
Eliminating y: Let's simply add the two equations together. Rest is simple algebra
[tex]I+II:3x-y+2x+y = 10\\5x=10 \rightarrow x = 2[/tex]