The perimeter of a rectangle is 24 inches. The length is 2 inches. Use the numbers below to complete an equation to solve for the width, w. Numbers may be used once, more than once, or not at all.
We want to find the width of a rectangle, we will find that the width is 10 inches.
Finding the width:So we know that the perimeter of a rectangle is just given by:
P = 2*(L + W)
Where L is the length and W is the width.
Here we know that:
P = 24 inches
L = 2 inches
Replacing that we get:
24 in = 2*(2 in + W)
(24in)/2 = (2 in + W)
12 in = 2 in + W
12 in - 2 in = 10 in = W
So the width is 10 inches.
If you want to learn more about rectangles, you can read:
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Find all of the real and imaginary solutions of x^3+8=0
Answer:
[tex]x=-2, \:1+\sqrt{3}i,\: 1-\sqrt{3} i[/tex]
Step-by-step explanation:
[tex]x^3+8=0,\\x^3=-8,\\\mathrm{For\:}x\in \mathrm{R}, x=-2[/tex]
Real solutions ([tex]x \in \mathrm{R}[/tex]): [tex]x=-2[/tex]
However, recall that [tex](\frac{-1\pm\sqrt{3}i}{2})^3=1[/tex].
Therefore:
[tex]\frac{-1\pm\sqrt{3}i}{2}\cdot -2=-2[/tex].
Thus, for [tex]x^3=-8,\: x\notin \mathrm{R}[/tex]:
[tex]x=1\pm\sqrt{3}i[/tex].
Therefore, the real and nonreal solutions of [tex]x^3+8=0[/tex] are [tex]\fbox{$-2, \:1+\sqrt{3}i,\: 1-\sqrt{3}i$}[/tex].
Answer:
-2, 1 +/- i*sqrt(3)
(3 solutions)
Step-by-step explanation:
Because the left side is in the form a^3+b^3, we can factor it as (a+b)(a^2-ab+b^2) (good formula to remember)
So we have
(x+2)(x^2-2x+4)
We can see one value already
x+2 = 0
x = -2
now we solve for
x^2-2x+4 = 0
We can use the quadratic formula, and see that the determinant is negative (2^2-4*1*4 < 0)
Therefore we have two imaginary solutions
(-(-2) +/- sqrt(2^2-4*1*4))/)2*1) = (2 +/- sqrt(-12))/2 = (2 +/- 2sqrt(-3))/2 = 1+/- sqrt(-3) = 1 +/- i*sqrt(3)
How to find the area of triangle ABC
Answer:
Step-by-step explanation:
Area of a Triangle = A = ½ (b × h) square units
where b and h are the base and height of the triangle, respectively.
Answer: 24 ft is the area
Step-by-step explanation: area of triangle = (width x height)/ 2; the width is 8, height is 6, 8 x 6 = 48. Divide by 2 = 24.
I'm not sure which region contains the solution. Where both the half planes over lap
Answer:
Um i have no idea sorry i couldnt help
Step-by-step explanation:
255 is 45% of what number?
Answer:
if I'm not mistaking it's 15%
Answer:
x = 566.67
Step-by-step explanation:
We have, 45% × x = 255
or,
45/100
× x = 255
Multiplying both sides by 100 and dividing both sides by 45,
we have x = 255 ×
100/45
x = 566.67
If you are using a calculator, simply enter 255×100÷45, which will give you the answer.
Which is the solution to the equation 2.6 a + 18.4 = 28.8? Round to the nearest tenth if necessary.
1.4
4
18.2
27
Answer: a=4
Step-by-step explanation:
Answer:
B or 4
Step-by-step explanation:
15-[14/(15-8)+13-14]•
10
Answer:
5
Step-by-step explanation:
15-(2+13-14)×10 (beacuse 14÷7=2)
15-(15-14)×10
15-1×10
15-10
5 ans
6 pounds of bananas are 5.94 what would be the cost for 10 pounds?
Answer:
Step-by-step explanation:
if 6lbs costs 5.94
5.94/6=0.99
10lbs
0.99*10=9.90 dollars
Roger biked 30 miles in 2 hours. Write this rate as a unit rate.
Answer:
15 miles an hr or 15miles/1 hour
Reaner Recycling collected 7/4 ton of aluminum last Saturday. If 7/8 ton of aluminum can be shredded each day, how many days will it take to process what was collected on Saturday?
help me please it is hard
Answer:
2 days
Step-by-step explanation:
You would have to change 7/4 to have the same common denominator as 7/8, which is 8. 7/4 is equal to 14/8, or 1 6/8. Then you would subtract 1 6/8 by 7/8. What would be left would be 7/8. And of course, 7/8 minus 7/8 would be 0.
Hope this help you
A $75 fund is available for a holiday party. If 75% of the available money is spent for food and beverages, how much is left for other expenses?
A. $18.75
B. $28.75
C. $46.25
D. $56.25
Yeah so How are the numbers related?
Answer:
yay free points numbers are all numbers
Step-by-step explanation:
The coordinates of three vertices of a square are (4, 14), (10, 14), and (4.8).
What are the coordinates of the missing vertex?
Answer:10,8
Step-by-step explanation:
Because
Answer:
10,4
Step-by-step explanation:
-5•3 = 3 • -5
Name the property that justifies the statement
Answer:
commutative property of multiplication
Step-by-step explanation:
If a plant grows 1 inch a day, starting at 2 inches, how tall will it be on the 7th day?
The equation of the line?
Answer:
○ [tex]\displaystyle y = 2x + 7[/tex]
Step-by-step explanation:
Use the Slope-Intercept Formula instead of the Point-Slope Formula because it is MUCH, MUCH faster, plus parallel equations have SIMILAR RATE OF CHANGES [SLOPES ], so [tex]\displaystyle 2[/tex] remains as is:
[tex]\displaystyle y =mx + b \\ \\ 3 = 2[-2] + b → 3 = -4 + b; 7 = b \\ \\ \boxed{y = 2x + 7}[/tex]
I am joyous to assist you at any time.
Pls help extra points and mark brainlist
if the temperature is 64f, how many bottles of water should the store expect to sell?
Answer:
alot
Step-by-step explanation:
Answer:
112
Step-by-step explanation:
Edg 2021
If the following figure is a square, solve for X
Answer:
Step-by-step explanation:
It is a square so every angle is 90°. As diagonal bisects, the angles of square means that 90/2=45 So,
6x-21=45
6x=66
x=11°
Note: Diagonal only bisects the angle in the square, not in every figure.
37
R
12
B
35
С
Find tan(a) in the triangle.
Choose 1 answer:
А
35
37
35
B
12
12
35
12
37
The value of the tangent of angle α will be 35/12. Then the correct option is B.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The triangle ΔABC is given below.
Then the value of tan α will be
tan α = 35 / 12
Then the correct option is B.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
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4 2/3 divided by 1/2 in fraction form
Answer:
9 1/3
Step-by-step explanation:
4 2/3 = 14/3
14/3/1/2
14/3 x 2/1
28/3= 9 1/3
how many 1/5's are there in 9
1/5 9 = _____
Answer:
45
Step-by-step explanation:
1
1/5 X 5 times 9
Answer:
45 times is the correct answer
Solve the triangle given that a=19 b=16, c=11.
Answer:
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Step-by-step explanation:
From statement we know all sides of the triangle ([tex]a[/tex], [tex]b[/tex], [tex]c[/tex]), but all angles are unknown ([tex]A[/tex], [tex]B[/tex], [tex]C[/tex]). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.
If we know that [tex]a = 19[/tex], [tex]b = 16[/tex] and [tex]c = 11[/tex], then the missing angles are, respectively:
Angle A
[tex]a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A[/tex] (1)
[tex]A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)[/tex]
[tex]A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right][/tex]
[tex]A \approx 87.395^{\circ}[/tex]
Angle B
[tex]b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B[/tex] (2)
[tex]B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)[/tex]
[tex]B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right][/tex]
[tex]B\approx 57.271^{\circ}[/tex]
Angle C
[tex]C = 180^{\circ}-A-B[/tex]
[tex]C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}[/tex]
[tex]C = 35.334^{\circ}[/tex]
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Simplify the expression:
-5(2x - 5)
Answer:
-10x+25
Step-by-step explanation:
−5(2x−5)
=(−5)(2x+−5)
=(−5)(2x)+(−5)(−5)
=−10x+25
Can any of you plz answer? (math)
Which of the following are ordered pairs for the equation y = 3 /4 x + 6 ?
a. ( 6 , 0 ) ( 10 , 3 ) ( 14 , 6 )
b. ( 6 , 0 ) ( 9 , 4 ) ( 12 , 8 )
c. ( 0 , 6 ) ( 4 , 9 ) ( 8 , 12 )
d. ( 0 , 6 ) ( 3 , 10 ) ( 6 , 14 )
Which equation is true?
-56
7
- ( 24 ) = -3
Done -
Answer:
First Equation is Right which is -56/8 = 7
Step-by-step explanation:
LHS = -56/8
=> -7
RHS = -7
So LHS = RHS
Answer:
the first one. -56/8 = -7
A number increased by 9 is -4. What is
the number? Write an equation and solve.
If f(x) = 2x + 1, and
g(x) = x – 3, then
f(g(x)) = [ ? ]x + [ ]
Answer:
f(g(x))=2x-5
Step-by-step explanation:
f(g(x))=2(x-3)+1
Monna and co-workers used radioactive isotopes to date sediments from lakes and estuaries. To verify this method they analyzed a 208Po standard known to have an activity of 77.5 decays/min, obtaining the following results
77.09, 75.37, 72.42, 76.84, 77.84, 76.69, 78.03, 74.96, 77.54, 76.09, 81.12, 75.75
Determine whether there is a significant difference between the mean and the expected value at αâ=â0.05.
Answer:
No significant difference between mean and Expected value
Step-by-step explanation:
Hypothesis
H0 : u = 77.5
H1: u is not equal to 77.5
Alpha = 0.05
Mean = Σxi/n
= 77.09+75.37+72.42+76.84+77.84, +76.69+78.03+74.96+77.54+76.09+81.12+75.75/12
= 919.74/12
= 76.645
We get the variance s² = xi² -n(barx)²/n-1
= 77.09²+75.37²...75.75²-12(76.645)²/11
When we solve this out
We get 4.3486818182
T test = barx - u/(s/√n)
= (76.645-77.5)/√4.3486818182/12
= -1.420293
T critical = Tn-1, alpha/2
= 2.200985
The test statistic is less than 2.201 so we accept the null hypothesis at 0.05 level of significance. And then conclude that there is No significant difference between mean and Expected value.