What is the area of the rhombus shown below? A. 110.5 square units B. 129.2 square units C. 221 square units D. 15 square units
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the answer is A. 110.5
The area of the rhombus is 110.5 square units if the lengths of the diagonal of a rhombus are 13 and 17 units option (A) 110.5 square units is correct.
What is a rhombus?A rhombus is a two-dimensional shape having four parallel opposite pairs of straight, equal sides. This shape resembles a diamond and is what you'd find on a deck of cards to represent the diamond suit. Rhombuses can be encountered in a variety of common situations.
We have a rhombus shown in the picture with dimensions:
As we know,
The area of the rhombus is given by:
A =pq/2
p and q are the lengths of the diagonal of a rhombus.
p = MK = 13 units
q = JL = 17 units
Plug the values in the formula:
A = (13×17)/2
A = 221/2
A = 110.5 square units
Thus, the area of the rhombus is 110.5 square units if the lengths of the diagonal of a rhombus are 13 and 17 units option (A) 110.5 square units is correct.
Learn more about the rhombus here:
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Related Questions
hey can you please help me posted picture of question
Answers
C (n) = 20n + 15
Clearing t we have:
20n = c - 15
n = c / 20 - 15/20
Rewriting:
N (c) = (c-15) / 20
Answer:
The inverse function for this case is given by:
N (c) = (c-15) / 20
option B
in a survey of a town 56% of residents own a car, 21% of residesnts own a truck
Answers
What is the equation in slope-intercept form of the linear function represented by the table? x y –6 –18 –1 –8 4 2 9 12
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y = (y₂ -y₁)/(x₂ -x₁)×(x -x₁) +y₁
If we let (x₁, y₁) = (4, 2) and (x₂, y₂) = (9, 12) this becomes
y = (12 -2)/(9 -4)×(x -4) +2
y = (10/5)×(x -4) +2
y = 2x -6
The equation in slope-intercept form of the given function is ...
y = 2x -6
Answer: y=2x-6
Step-by-step explanation:
205/1000 is less then are greater then 0.205
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Evaluate 7i^4-12i^2
-5
19
19i
Answers
Hope this helps
The powers of i repeat every four terms, so i⁴ equals 1 and i² equals -1. The result of the evaluation is 19.
To evaluate the expression 7i⁴-12i². In complex numbers, i is the imaginary unit with the property that i² = -1. The powers of i repeat every four terms:
i¹ = i
i² = -1
i³ = -i
i⁴ = 1
Using these properties, we can simplify the expression:
7i⁴ is 7 times 1, which equals 7.
-12i² is -12 times -1, which equals 12.
Adding these together, we get 7 + 12 = 19.
Therefore, the evaluated expression is 19.
twice the difference of p and 10
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2( p-10)
2p-20
s=4h+4w solve for h.
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s - 4w = 4h
Now you are going to divide both sides by 4 to isolate the variable h. This gives you your answer:
[tex]h = \frac{(s-4w)}{4} [/tex]
Which events are independent? Check all that apply. rolling two number cubes at the same time choosing a card, and then flipping a coin choosing a first, second, and third place winner drawing a name from a hat, keeping it, then drawing another name drawing a marble from a bag, replacing it, then drawing another marble flipping the same coin three times
Answers
Answer:
1.rolling two number cubes at the same time
2.choosing a card, and then flipping a coin
5.drawing a marble from a bag, replacing it, then drawing another marble
6.flipping the same coin three times
Write down and simplify the following algebraic expressions. The sum of −3x+5 and 7−4x is subtracted from 5x+17.
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-3x+5+7-4x = -7x+12
That subtracted from 5x+17:
5x+17-(-7x+12) = 12x+5
Anyone have the answer?!!!
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reflection across y = x.
Pythagorean theorem to determine if a triangle with sides 2 ft,5ft,4ft is a right triangle
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[tex] 2^2 + 4^2 = 5^2 [/tex]
[tex] 4 + 16 = 25 [/tex]
[tex] 20 = 25 [/tex]
Since 20 = 25 is clearly a false statement, the three side lengths 2 ft, 4 ft, and 5 ft do not form a right triangle.
I do have a time limit. I appreciate any help
If YB = ZA find the value of X and the length of YB
Answers
Also, we can see that YZ and AB are perpendicular to both ZA and YB, thus
YZ = AB
16x - 4 = 4 - 4x
16x + 4x = 4 + 4
20x = 8
x= 8/20 = 2/5
YB = ZA = 20x - 5 = 20(2/5) - 5 = 3
Thus, the value of x is 2/5 and length of YB is 3 units.
So, the correct answer is option A
help how woudl i do this ive attached a picture
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m angle b° = arc/2
m angle b° = 60°/2
m angle b°=30°
b=30
Answer: Fourth option: 30
What is the y-intercept of the quadratic y=-2x^2-4x-5 ?
(-5,0)
(0,-2)
(-1,3)
(0,-5)
Answers
We have:
[tex]y=-2x^2-4x-5\to f(0)=-2(0)^2-4(0)-5=-5[/tex]
Answer: (0; -5)
Compute the simple interest earned on a deposit of $5000 at 8.5% for 120 days
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[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\to& \$5000\\ r=rate\to 8.5\%\to \frac{8.5}{100}\to &0.085\\ t=years\to \frac{120}{365}\to &\frac{24}{73} \end{cases} \\\\\\ I=(5000)(0.085)\left( \frac{24}{73} \right)\implies I \approx 139.72602739726[/tex]
When multiplied, what is the simplified form of (5 − 2i)(1 − 2i)? Write the answer in standard form, a + bi, where a and b are real numbers.
Answers
F: 5*1 = 5
O: 5 *(-2i) = - 10i
I : -2i * (1) = - 2i
L: (-2i)(-2i) This may take a bit. There's a few signs hanging around.
L: (-2 * -2)*(i * i)
L: 4 (i *i)
L: 4(-1)
L: - 4 So combine these results.
FOIL: 5 - 10i - 2i - 4 Group the like terms
FOIL: 5 - 4 - 10i - 2i Now collect them
FOIL: 1 - 12i <<<<<<< Answer
of the pizzas sold last week at vondras pizzaria 7/12 were large pizzas and 1/4 were extra large pizzas, what fraction of the pizzas aild were either large or extra large? enter your answer simplified and as a proper fraction
Answers
7/12 + 3/12 = 10/12
10/12 of the pizzas sold were either large or extra large
I hope this helps :)
Answer:
Step-by-step explanation:
7/12 + 1/4
7/12 + 3/12 = 10/12
10/12 of the pizzas sold were either large or extra large
Which of the following shows the length of the third side, in inches, of the triangle below?
Hypotenuse is 74 and one leg is 24
Answers
c² = a² + b²
Filling in your numbers, we can solve for b.
74² = 24² + b²
74² - 24² = b² = 4900
b = √4900 = 70
The length of the third side is 70.
Answer:
70 inches
Step-by-step explanation:
What is the similarity ratio of the smaller to the larger prisms? Enter your answer as a:b
Answers
Because the lengths are 6 and 9 (2:3), the widths are 8 and 12 (2:3), and the heights are 6 and 4 (2:3).
Answer:
6:9>2:3
Step-by-step explanation:
In order to do this, you just have to equalize the ratio you just need to search for the same sides, so the 6 side is similar with the 9 side on the larger, and then the 8 to the 12 and the 4 to the 6, so you just equalize any of those equal we will use the 8 and 12:
8:12
Now we just reduce it with the same:
4:6
2:3
So the ratio would be 2:3.
please help me out i will reward brainliest
Answers
giovanni justifies what is expression -4x - 8 is equivalent to -2( x + 1) - 2 ( x + 3 ) by letting x equal 3 in both expressions what is the value of each expression when x equals 3
Answers
You put 3 in for x in both equations
Equation 1
-4(3) - 8 =
Multiply
-12 - 8 = -20
The answer is one of the ones with -20
------------------------------------------------------------------------------------------------------
Equation 2
-2(3 + 1) - 2(3 + 3)
Do what is in paraenthesis
-2(4) - 2(6)
Multiply
-8 - 12 = -20
------------------------------------------------------------------------------------------------------
The answer is C) -20 and -20
Hope this helps!
Answer:
C. -20 & -20
Step-by-step explanation:
If you substitute x for 3 in the expressions, they will both evaluate to -20.
Thus, the answer is -20
What is the growth factor of the following example? Assume time is measured in the units given. A forest shrinks 80% per century.
Answers
The growth factor is 0.20 per century.
Q #15 Graph ARTS With vertices R(6, 6), S(3, -6),and T(0, 3) and its image. over the Y -axis
Answers
(x,y) ⇒⇒⇒ (-x,y)
Note point T will not change
the solution is as shown in attached figure
need help fast don't understand both A and B show work please
Answers
Usually the number of bits in a byte is 8 or 16 or 32 and recently 64. You don't have to write a formula to restrict it to this number of bits. You are not asked to do so. The general formula is 2^n - 1 for the problem of Millie and her golden keys. Somehow the system can be made to choose the right number of bits. Apple IIe s for example, used 8 bits and there was a location that told the processor that fact.
2^n - 1 <<<<< Answer
Problem B
In this case n = 4
2^n - 1 = 2^4 - 1 = 16 - 1 = 15
Millie can collect 15 keys <<<<<< Answer
Refer to the above data. in which year is there a balanced budget? year 1 year 2 year 3 year 4
Answers
The Tigers’ first play when they had possession of the ball went for -3 yards. Did the Tigers gain or lose yards on that play? How many yards did they gain or lose?
Answers
Answer:
The correct answer is (The Tigers lost 3 yards on that play.)
22x+70=17x-95 show step by step please
Answers
[tex]22x + 70 = 17x - 95[/tex]
Move variables to the left by adding their opposites to both sides. Eliminate the opposites.
[tex]22x - 17x + 70 = - 95[/tex]
Move constants to the right by adding their opposites to both sides. Eliminate the opposites.
[tex]22x - 17x = - 95 - 70[/tex]
Collect the like terms by subtracting their coefficients and numbers.
[tex]5x = - 95 - 70[/tex]
Calculate the sum or difference. Extract the negative sign from the expression. Add the numbers.
[tex]5x = - 165[/tex]
Divide both sides of the equation by 5 and calculate the quotient.
[tex]x = - 33[/tex]
Answer:
Value of x is -33.
Step-by-step explanation:
[tex] \sf22x+70=17x-95 [/tex]
We combine x term together. In this equation there are two extra 22x and 17x and 17x is right hand side and we have to shift it left hand side so we have to change sign. 17x is a positive number so we have to shift in left hand side so it convert into negative number means - 17x.
[tex]\sf22x - 17x=-95 - 70[/tex]
Now, we combine next terms together and in right hand side we shift -70. Because in left hand side 70 is a positive number then we have to shift it right hand side so it change into negative.
[tex] \sf5x = - 165[/tex]
We write 5x because we subtract 22 with 17 and in right inside we write minus 165 because we add - 95 and -70. we can't subtract minus 95 and -70 because in front of the both of number there is a sign of minus.
Remember :-
- and - = + + and - = -- and + = -[tex]\sf x = \dfrac{ - 165}{5} [/tex]
We divide -165 by 5. Because in Left hand side 5x is in multiple so we shift it Right hand side and it turns into divide.
[tex] \sf \:x = - 33[/tex]
Now, we get value of x is -33.
Verification :-
Put values of x -33
22x+70
22×(-33) +70
= -726 + 70
= -656
Now, in R.H.S
17x-95
17×(-33) -95
= - 561 - 95
= - 656
L.H.S = R.H.S
Hence, proved
Note :-
L.H.S = Left hand side
R.H.S = Right hand side
Over 4 hours, the temperature in Miami, Florida, rose 8ºF. How many degrees, on average, did the temperature rise per hour
Answers
Answer:
The correct answer is 2°F
Step-by-step explanation:
Your equation is 8÷4
8÷4=2
I hope this helps :)
Solve for the variable 10/8=n/10
Answers
Answer: 50/4 or 12.5
Step-by-step explanation:
We can cross-multiply in this situation.
Cross-multiplying...
[tex]\frac{10}{8} = \frac{n}{10}[/tex]
8n = 10(10) = 100
In other words, we multiply the denominator of 10/8, which is 8, by the numerator of n/10, which is n, and vice-versa.
Dividing 8 on both sides....
n = 100/8 = 50/4 = 12.5
Evaluate the expression. 32 + 6 × 22 – 42 ÷ 2
Answers
Do 6 x 22:
= 32 + 132 – 42 ÷ 2
Do: 42 ÷ 2:
= 32 + 132 – 21
Do: 32 + 132:
= 164 – 21
Do 164 -21:
= 143
Answer: 143
Here is your answer:
The proper answer to this question is "143".
Reason:
Use PEMDAS:
Write the problem then solve:
32 + 6 × 22 – 42 ÷ 2=
↓
6×22=132
↓
32+132-42÷2=
↓
42÷2=21
↓
32+132-21
↓
32+132=164
↓
164-21
↓
164-21=143
↓
=143
Therefore your answer is 143!
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit