Answers
The length of the short and long diagonals of the parallelogram to 3 decimal places are 5.244 units and 14.370 units respectively.
What are parallelogram?
Parallelograms are quadrilateral. They have opposite sides equal to each other. Opposite sides are also parallel. The opposite angles are equal to each other.
Therefore, the angles are as follows;
34°34°146°146°Hence,
length of small diagonal = √9²+ 6² - 2(9)(6) cos 34
length of small diagonal = √81 + 36 - 108(0.82903757255)
length of small diagonal = √117 - 89.5360578359
length of small diagonal = √27.5
length of small diagonal = 5.24404424085
length of small diagonal = 5.244 units
5.244² + d² = 2(9² + 6²)
27.499536 + d² = 2(81+36)
d² = 234 - 27.499536
d²= 206.5
d = √206.5
d = 14.3701078632
d = 14.370 units
length of the longer diagonal = 14.370 units
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Related Questions
Please belpppp don’t understand
Answers
Answer:
[tex]\huge 3w^2\sqrt[4]{2\:w^{3}}[/tex]
Step-by-step explanation:
[tex]\huge\sqrt[4]{162\:w^{11}}[/tex][tex]=\huge\sqrt[4]{81*2\:w^{8}*w^{3}}[/tex][tex]=\huge\sqrt[4]{3^4*2\:(w^{2})^4*w^{3}}[/tex][tex]=\huge 3w^2\sqrt[4]{2\:w^{3}}[/tex] (Elements with power 4 within the radical will come out and the rest will be within the radical sign)
What is the value of the
expression shown?
28 - 62
Answers
Answer:
-34........................
Jacob earned a gross pay for the week of $592. If 16% was withheld for deductions, what was his net pay?
Answers
Answer:
$497.28
Step-by-step explanation:
First, you need to find 16% of 592. To do this, turn 16% into a decimal by dividing by 100:
16/100 = 0.16
Then, multiply 0.16 by 592, to get 94.72.
Then, subtract this number from 592:
592 - 94.72 = 497.28
Keep the ratio simple.
3/5 : 2/5
Answers
Answer:
3:2
Step-by-step explanation:
I am assuming this means convert to whole numbers
3/5:2/5 is 6/10:4/10
6/10:4/10 is 0.6:0.4
0.6:0.4 is 6:4
6:4 is 3:2
Answer:
3 : 2Step-by-step explanation:
Keep the ratio simple.
3/5 : 2/5
remove the denominator (5) on both sides and you will have 3 : 2
laura will wear a pair of mittens, a scarf, and a jacket as she leaves the house. she has two pairs of mittens to choose from, six scarves choose from, and three jackets to choose from. how many different combinations laura wear. I WILL GIVE BRAINLESTTTTRJFCFIIEJFJEFLJ
Answers
The number of ways Laura will wear a pair of mittens, a scarf, and a jacket will be 36.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
Laura will wear a pair of mittens, a scarf, and a jacket as she leaves the house.
She has two pairs of mittens to choose from, six scarves chosen from, and three jackets to choose from.
Then the number of ways will be
Number of ways = ²C₁ x ⁶C₁ x ³C₁
Number of ways = 2 x 6 x 3
Number of ways = 36
More about the permutation and the combination link is given below.
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i'll give brainliest and points to whomever answers these two questions, thank you so much in advance!
Q8- what's the S.S of the inequality: x² + 4 > 2
a) R
b) ∅
c) R-
d) R+
Q9- if x + yi = (1 + i)⁴ , then x + y = ......
a) 4
b) - 4
c) 2
d) - 2
an explanation for future reference would be GREATLY appreciated, thank you again T^T
Answers
Answer:
8 Answer is a) R
9 Answer is b) -4
Step-by-step explanation:
Answer of your Question bro and good evening and please mark me as brainliest and thank u
find the value of 6.4⋅(8+15)
Answers
Answer:
The Answer is 147.2
Step-by-step explanation:
Hope this helps Have a great day and Sry if i'm wrong :)
19 more than the number c is 4
Answers
- - - - - - - - - - - - - - - - - - - - - - - - - -- -
[tex]\diamond\large\textsf{\textbf{\underline{Question:-}}}[/tex]
✥ 19 more than the number c is 4.
[tex]\diamond[/tex] [tex]\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
◆ First, the word "more" indicates that we add.
Here we have 19 more than c, so we add c plus 19, which looks as follows:-
✳︎ [tex]\sf{19+c}[/tex]
This expression is equal to 4:-
✳︎[tex]\sf{19+c=4}[/tex]
If you also need to find c, subtract 19 on both sides:-
c=-15So we conclude that the value of c is -15.
Good luck with your studies.- -- - - - - - - - - - - - - - - - - - - - - - - - - -
Answer:
19 + c = 4
Step-by-step explanation:
Given:
19 more than the number c is 4We know that:
The word "more" means addition between two numbers. The word "is" means two terms or two expressions are equivalent.Therefore, we can make the following replacements:
"19" ⇒ "19""more" ⇒ "+""c" ⇒ "c""is" ⇒ "=""4" ⇒ "4"When we replace the bolded text in the statement, we get;
⇒ 19 more than the number c is 4
⇒ 19 more than the number c is 4 ["19" ⇒ "19"]
⇒ 19 + than the number c is 4 ["more" ⇒ "+"]
⇒ 19 + c is 4 ["than the number c" ⇒ "c"]
⇒ 19 + c = 4 ["is" ⇒ "="]
⇒ 19 + c = 4 ["4" ⇒ "4"]
Thus, the expression/equation that represents the statement is [tex]\small\text{19 + c = 4.}[/tex]
What is the most logical first step in solving the equation x2 + 6x +9 = 10?
A. Subtract 9 from both sides of the equation
о
B. Take the square root of both sides of the equation
C. Subtract 10 from both sides of the equation
O
D. Factor the left side of the equation
Answers
Answer:
D
Step-by-step explanation:
The logical step is to factorize the left side of the equation, which becomes:
(x + 3)² = 10Then, you can take the square root on both sides.
x + 3 = ±√10x = ±√10 - 3Not asked, but good to understand the procedure regardless.
I need help finding the slope and what m =
Answers
Answer:
4/3
Step-by-step explanation:
slope = rise/run = (y1-y2)/(x1-x2) = 4 / 3
Mean = 5 13+14+15+19+19 =
Answers
Answer:
14.167
Step-by-step explanation:
assuming you meant 5+13
All of the following are equivalent to 1.75 except _____. 14/8, 1 75/100, 1 3/4, 4/7
Answers
The side of a square is 3 cm long.
What is the length of the diagonal of the square? Give a reason for your answer.
INSTRUCTION: Round your answer to two decimal places.
Answers
Answer:
approximately 4.23 cm
2. What is the solution of matrix equation
[2 7
1 4] x=[2 5]
Answers
Answer:
(d) X = [-27, 8]
Step-by-step explanation:
The solution to the matrix equation can be found by left-multiplying both sides of the equation by the inverse of the coefficient matrix.
AX = B . . . . given
X = A⁻¹B
__
[tex]X=\left[\begin{array}{cc}2&7\\1&4\end{array}\right]^{-1}\left[\begin{array}{c}2\\5\end{array}\right] =\left[\begin{array}{cc}4&-7\\-1&2\end{array}\right]\left[\begin{array}{c}2\\5\end{array}\right] \\\\X=\left[\begin{array}{c}-27\\8\end{array}\right][/tex]
_____
Additional comment
A calculator or spreadsheet can help with this. The solution can also be found by row-reducing the augmented matrix.
Kendra mixes 2 liters of iced tea with 1 liter of lemonade. she pours an equal amount of the mixture into 6 jars. how many milliliters of the mixture did kendra pour into each jar? use the drop-down menu to complete the answer. please help
Answers
Answer:
Kendra pours 500 milliliters of the mixture into each jar.
Step-by-step explanation:
2 liters + 1 liters = 3 liters3 liters = 30 desiliters30 dl ÷ 6 = 5 dl5 desiliters = 500 millilitersAnswer:
500
Step-by-step explanation:
Kendra poured
500
milliliters into each jar.
I just need the length of the unknown side and why it makes sense
Answers
Answer:
Step-by-step explanation:
According to Pythagorean theorem, the square value of hypotenuse (the side length that sees angle measure 90) is equal to sum of square value of two legs:
let x represent the missing length
x^2 + 3^2 = 7^2
x^2 + 9 = 49 subtract 9 from both sides
x^2 = 40 find the root for both sides
x = [tex]\sqrt{40}[/tex] or 6.3 inches approximately
11.
30 cm
30 cm
26 cm
Find the area
Answers
Answer:
30 x 30 x 26 = 23,400 area= 23,400
Step-by-step explanation: hope it helps
Answer:
i think its 780 cm^2 IF THE 11 IS NOT APART OF THE PROBLEM
Step-by-step explanation:
sorry caps
Which statements describe the graph of 2 and StartFraction 8 over 9 EndFraction greater-than-or-equal-to x on a number line? Select three options. There is an open circle on 2 and StartFraction 8 over 9 EndFraction. The graph contains the point 0 There is a closed circle on 2 and StartFraction 8 over 9 EndFraction. The arrow points to the left. The arrow points to the right.
Answers
The correct option is:
"A closed circle at (2 + 8/9) and the arrow points to the left"
Which statement describes the graph of the inequality?Here we have the inequality:
(2 + 8/9) ≥ x
First, because the symbol ≥ is used, we need to put a closed circle at (2 + 8/9) which means that the value is an actual solution (open circles are used for < and >), and then we shade all the numbers to the left of that value (because x also could be smaller than that).
Then the correct option is:
"A closed circle at (2 + 8/9) and the arrow points to the left"
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Answer: a closed circle on 2 8/9 and the arrow points to the left
Step-by-step explanation:
<3
Amala listed her assets and liabilities. credit card balance car (paid in full) jewelry student loan savings account stocks $850 $2,200 $125 $2,500 $1,200 $1,500 what is the total of amala’s liabilities? $850 $2,500 $3,350 $5,550
Answers
The total of amala’s liabilities will be $5,500.
What is liabilities income?Passive income is the amount you receive that comes from the remuneration of your investments in financial market products. That is, it is generated regardless of your effort.
In this case, the total will be:
Total amount of Amala’s liabilities = Credit card balance + car + student loan
So, we have:
[tex]850 + 2200 + 2500 = $5500[/tex]
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Answer:
$3,350
Step-by-step explanation:
This is because her car is paid in full it is no longer a liability it is an asset making the person above incorrect. The credit card balance + the student loans = 3,350
A state tourist guide provides information on summer vacation towns. Some of the towns and related information are
given in the table below.
Average
Number
Town
Beach
Access?
Temp
(°F)
Location
of Hotels
Spring Haven
73.2
12
yes
West
Answers
Based on the information given in the table, the discrete quantitative variable would be the number of hotels.
What is a discrete quantitative variable?This refers to a variable in a distribution that can only take on a specific value that is countable.
This means that the number does not go on forever. Examples of these are the number of fingers and toes you have.
The discrete quantitative variable from the options would therefore be the number of hotels that there are.
________________________________________________________
The rest of the question is:
Which of the variables is a discrete quantitative variable?
A:average temperature
B:number of hotels
C:beach access
D:location
________________________________________________________
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A triangle has sides with lengths of 5 meters, 6 meters, and 8 meters. Is it a right triangle?
Answers
Answer:
No, it is not a right triangle
Step-by-step explanation:
A scalene right triangle comprised of integers must have the same ration as 5:4:3, and 5:6:8 is not it.
Which ordered pairs represent the equivalent ratios in the table? check all that apply.
(1, 2)
(1, 4)
(2, 8)
(4, 1)
(3, 12)
Answers
Answer:
(1,4) and (2,8)
Step-by-step explanation:
If you write these 2 ordered pairs as a fraction: 1/4 and 2/8 you can see that they are both equivalents.
Answer:
B, C and D
Step-by-step explanation:
Edge 2022/2023
The Allied Taxi Company charges $2. 50 to pick up a passenger and then adds $1. 95 per mile. Isaac was charged $27. 46 to go from one city to another. If x represents the number of miles driven by the taxi, which linear equation can be used to solve this problem, and how many miles did Isaac travel, rounded to the nearest tenth? 1. 95x 2. 50 = 27. 46; Isaac traveled 15. 4 miles. 1. 95x 2. 50 = 27. 46; Isaac traveled 12. 8 miles. 2. 50x 1. 95 = 27. 46; Isaac traveled 11. 8 miles. 2. 50x 1. 95 = 27. 46; Isaac traveled 10. 2 miles.
Answers
Answer:
see the attachment.
i hope this can help you
Which inequality is equivalent to −y≥18?
Answers
[tex]\rule{199}{1}[/tex]
Given question:-
Which inequality is equivalent to -y≥18?
Answer and how to solve:-
Divide by -1 on both sides to fully simplify the inequality, which is what we're asked to do.
So we get
y≤-18
Notice that the inequality sign changed.
The inequality sign changes when we divide both sides of an inequality by a negative number.
Good luck with your studies.[tex]\rule{300}{1}[/tex]
A listing for a home for sale is shown as follows: "4/3/2 house for sale. Price
$140,000." What does "4/3/2" mean?
Answers
A rectangular cloth of length 10 1/2 m and 7 2/3 m wide used to make the UAE national flag. Find the perimeter of the flag.
Answers
Answer:
36.32 m
Step-by-step explanation:
perimeter = 2(l+b) = 2(10.5 + 7.66)
=2(18.16)= 36.32 m
This graph shows the solutions to the inequalities y> 3x + 14 and y< 3x + 2.
Does the system of inequalities have solutions? If so, which region contains
the solutions?
A
-10 -8
10
-10
A. There is a solution, and it is shown by region B.
B. There is a solution, and it is shown by region C.
C. There is a solution, and it is shown by region A.
D. There is no solution.
B2
4
FO
C
00
Answers
The system of inequalities have no solutions, option D is correct.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given that the graph shows the solutions to the inequalities y> 3x + 14 and y< 3x + 2.
We have to find the system of inequalities have solutions has solutions or not
As we observe the graphs y> 3x + 14 and y< 3x + 2 of these inequalities the shade of both lines are not overlapped.
So the two inequalities does not have solution
Hence, the system of inequalities have no solutions, opton D is correct.
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Help Find the unit rate.
4,928 rooms on 112 floors =
rooms per floor
Answers
4928 rooms / 112 floors
2464 rooms / 56 floors
---Really, all we are doing here is simplifying a fraction until we have a 1 in the denominator
44 rooms / 1 floor
Hope this helps!
3x+8y=15
2x−8y=10
Solve for x
Answers
Solve for x in, 2(4x-3)-8=4+2x
Answers
Answer:
x = 3
Step-by-step explanation:
1.
[tex]2\cdot \left(4x-3\right)-8=4+2x\\2\cdot 4x+2\cdot -3-8=4+2x\\8x-6-8=4+2x\\8x-14=4+2x[/tex]
2.
[tex]8x-14=4+2x\\8x-14-2x=4+2~x-2x\\8x-2x-14=4+2x-2x\\6x-14=4+2x-2x\\6x-14=2x-2x+4\\6x-14=4[/tex]
3.
[tex]6x-14=4\\6x-14+14=4+14\\6x=4+14\\6x=18[/tex]
4.
[tex]6x=18\\\frac{6x}{6}=\frac{18}{6}\\x=\frac{18}{6}\\\\[/tex]
[tex]x=\frac{3\cdot 6}{1\cdot 6}\\\\Factor\\x=3[/tex]
