Answer:
This question says:
"the lenghts of the sides and the diagonal of a rectangle are 3 odd consecutive numbers".
This means that if x is an odd number, then the meassures are:
x, x + 2, x + 4.
We add 2 in each case, because the next consecutive number of, for example, 3 is 3 + 2 = 5, and so on.
Now, from the Pitagoras theorem we know that, for a triangle rectangle, we have
A^2 + B^2 = H^2
where A and B are the cathetus, and H is the hypotenuse.
In our case the smaller odd numbers will be the cathetus and the larger one will be the hypotenuse.
x^2 + (x + 2)^2 = (x + 4)^2
x^2 + x^2 + 4x + 4 = x^2 + 8x + 16
x^2 - 4x -12 = 0
now we need to solve this for x
we know that for a quadratic equation of the form:
ax^2 + bx + c = 0
the solutions are:
[tex]x = \frac{-b +- \sqrt{b^2 -4ac} }{2a}[/tex]
in our case we have:
[tex]x = \frac{4 +- \sqrt{16 +48} }{2} = \frac{4+-8}{2}[/tex]
The only positive value is x = 12/2 = 6
but 6 is not odd, so we can never have that the sides and the diagonal are odd consecutive numbers.
Vicky plans to wallpaper this wall. She buys
some rolls of wallpaper.
Each roll of wallpaper is 53 cm wide and 12 m
long. The cost of one roll of wallpaper is £12.45.
Work out the cost of wallpapering the wall. Vicky's wall is 5.7m wide and 2.8m long
Answer:
approx 31.24 euro
Step-by-step explanation:
area of vickys wall =5.7 × 2.8=15.96
area covered by one wallpaper=0.53×12=6.36
no of wall paper required=area of wall/area of 1 wall paper
=15.96÷6.36=2.50943396226
cost of 1 wall paper=12.45
cost of 2.50943396226 wall paper=31.2424528302 euro
Answer:
4498.91
Step-by-step explanation:
A circle has a circumference of 12.It has an arc length 11. What is the central angle of the arc,in degrees?
Answer:[tex]330^{\circ}[/tex]
Step-by-step explanation:
Given
Circumference of circle [tex]C=12\ units[/tex]
Arc length [tex]l=11\ units[/tex]
we know arc length is given by
[tex]l=\frac{\theta }{360^{\circ}}\times 2\pi r[/tex]
substituting value we get
[tex]11=\frac{\theta }{360}\times 12[/tex]
[tex]\frac{11}{12}=\frac{\theta }{360}[/tex]
[tex]\therefore \ \theta =330^{\circ}[/tex]
The central angle of the arc is approximately 330 degrees.
The question involves finding the central angle of an arc in degrees when the circumference of the circle is 12 and the arc length is 11. To solve this, it's essential to understand the relationship between the arc length, the central angle, and the circumference of the circle.
The formula we use is (Central Angle in degrees) / 360 = Arc Length / Circumference. Given that the circumference is 12 and the arc length is 11, we can substitute these values into the formula to find the central angle.
Thus, the calculation is as follows: (Central Angle in degrees) / 360 = 11 / 12.
By cross-multiplication, we find that the
Central Angle in degrees = (11 / 12) × 360.
This gives us a central angle of approximately 330 degrees.
13 out of 19 students said they were attending the football game. About how many students out of 500 would you expect to attend the football game? *
1 point
13
730
342
19
Step-by-step explanation:
The answer is 342
Because when we divide 19 by 13 = 1.46
Then when we divide 500 by 1.46 = 342
Find the pre-image given the image and scale factor. Scale factor: n = 2 Identify the coordinates of the image. A'(–2, –4) B'(2, 1) Divide the coordinates by the scale factor. The pre-image of B' is B(1, 1 2 ). What is the pre-image of A'?
Answer: the answer is -1, -2
Step-by-step explanation:
Find the length of side AB
Give answer to 3 significant figures
Answer:
AB = 8.856 cm
Rounded would get you 8.86 cm.
Hope this helps.
Step-by-step explanation:
I don't know how I got it but it's right.
What is the name of this polygon?
A. rectangle
B. square
C. trapezoid
D. rhombus
Answer:
That is a rhombus.
Brainliest is greatly appreciated
Answered by: Skylar
5/20/2020
1:37 PM (Eastern Time)
Answer:
This is a rhombus because it has 4 verticles, 4 edges and 2 lines of symmetry.
I know I'm late but hope this helps!!
Evaluate p-3 for:
a)p = 20
b)p = 10
c)p = 5
Answer:
a. 17
b. 7
c. 2
Step-by-step explanation:
a. (20)-3=17
b. (10)-3=7
c. (5)-3=2
Nhich equation results from taking the square root of both sides of (x+9)2=25
Answer:
square root of 25=5 and square root of (x+9)=(x+9) so the answer is.... x+9=+-5
Step-by-step explanation:
A rectangle has an area of (x2 - 17x + 72) square units. Since the area of a rectangle is determined using the formula, A =
lw, what could be the length and width of the rectangle?
length = (x - 8) units and width = (x - 9) units
length = (x + 9) units and width = (x + 8) units
length = (x - 6) units and width = (x - 12) units
length = (x + 12) units and width = (x + 6) units
O
Answer:
Step-by-step explanation:
x² - 17x + 72 = 0
Sum = -17
Product = 72
Factor = 8 , 9
x² - 17x + 72 = 0
x² - 8x -9x + (-8)*(-9) = 0
x(x - 8) -9(x -8) = 0
(x - 8 ) (x - 9) = 0
Length = (x - 8) units
Width = (x - 9) units
James charles was buying beauty products at Ikea while T-posing cause he can. He got lost at Ikea for 24 hours, how many minutes are in 24 hours?
Answer:
1440 minutes
Step-by-step explanation:
24 hours a day x 60 minutes an hour = 1440 minutes on a day
Two ice skaters push against each other. The skater on the left has a mass of 70.0 kg and the skater on the right has a mass of 90.0 kg. If the skater on the left experiences a force of 250 N, how many Newtons of force is experienced by the skater on the right?
Answer:250 N
Step-by-step explanation:
Given
mass of skater on left side [tex]m_l=70\ kg[/tex]
mass of skater on right side [tex]m_r=90\ kg[/tex]
If the skater on the left experience a force of [tex]250\ N[/tex]
If they push against each other then they must experience an equal force according to newtons third law
Thus [tex]F_l=F_r[/tex]
Thus skater on right experience [tex]250\ N[/tex] force
Using Newton's third law, if the first skater pushes off with a force of 250 N, the second skater will experience an equal but opposite force of 250 N. This occurs irrespective of the skaters' masses.
Explanation:The subject of this question is physics, specifically Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. In this case, the action is the first skater pushing off the second skater, and the reaction is the force experienced by the second skater.
The amount of force experienced by the first skater is 250 N. Because of Newton's third law, this means the second skater is also experiencing a force of 250 N. The direction of the force, however, is in the opposite direction to the force experienced by the first skater.
The force experienced by an object is independent of its mass. Therefore, despite the second skater having a mass of 90.0 kg versus the first skater's 70.0 kg, the force experienced remains the same.
In conclusion, the second skater experiences a force of 250 N.
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Information about how the students at Vista View High School got to school this morning is shown in the table.
A 6-column table has 4 rows. The first column has entries Tenth grade, eleventh grade, twelfth grade, Total. The second column is labeled Walk with entries 104, blank, 99, 314. The third column is labeled Bicycle with entries 8, 10, blank, blank. The fourth column is labeled Bus with entries 96, 72, 28, 196. The fifth column is labeled Car with entries blank, 88, blank, 276. The sixth column is labeled Total with entries 282, blank, 252, 815.
Out of all 252 twelfth graders, how many rode in a car to school?
Answer:
D) 114
Step-by-step explanation:
got it right on edge
Out of all 252 twelfth graders, the number of students that rode in a car to school is 114.
How many twelfth graders rode in a car to school?The first step is to determine the total number of students that rode a bicycle to school
Students that rode a bicycle to school = 815 - (276 + 196 + 314) = 29
The second step is to determine how many twelfth graders rode a bicycle to school: 29 - (8 + 10) = 11
Number of twelfth graders that rode a car to school = 252 - (99 + 11 + 28) = 114
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Brianna’s teacher asks her which of these three expressions are equivalent to each other.
Expression A:
9
x
−
3
x
−
4
Expression B:
12
x
−
4
Expression C:
5
x
+
x
−
4
Brianna says that all three expressions are equivalent because the value of each one is
−
4
when
x
=
0
.
Brianna’s thinking is incorrect.
Answer:
Expression A and C are correct because 9x - 3x = 6x and 5x + x = 6x, then -4
After simplification, Expression A (6x - 4) and Expression C (6x - 4) are equivalent to each other, but Expression B (12x - 4) is not equivalent to the other two.
The student's teacher presented a problem to determine the equivalence of three algebraic expressions: Expression A (9x - 3x - 4), Expression B (12x - 4), and Expression C (5x + x - 4).
Brianna incorrectly states that all three expressions are equivalent simply because they all evaluate to -4 when x = 0. However, this is a misinterpretation, as equivalence between algebraic expressions means that they yield the same result for all values of x, not just a single value.
To correct this, we simplify each expression:
Expression A: 9x - 3x - 4 simplifies to 6x - 4.
Expression B: 12x - 4 remains the same.
Expression C: 5x + x - 4 simplifies to 6x - 4.
After simplification, we see that Expression A is equivalent to Expression C, both simplifying to 6x - 4. However, Expression B remains different, with the term 12x - 4.a
The price of an item has been reduced by 70%. The original price was $31. What is the price of the item now?
Answer:
$9.3 dollars.
Step-by-step explanation:
To solve this question, you will need to begin by finding the percentage left of the original value:
100%-70%= 30% left.
Now, to find the exact value of the discounted item, you will solve for 30% (0.3) of $31:
0.3×31= $9.3 dollars.
Help ASAP!! Which pair of ratios are proportional?
A.7/14 and 20/40
B.25/100 and 5/150
C.18/24 and 16/12
D.6/21 and 2/42
Answer:
A
Step-by-step explanation:
This can be easily seen. 7/14 simplified is 1/2. When 20/40 is simplified, it's also 1/2
For breakfast, Sarah can choose eggs, granola, or oatmeal as a main course, and orange juice or milk for a drink. How many possible outcomes are there in the sample space?
Answer:
6 outcomes
Step-by-step explanation:
3 (main courses) x 2 (drinks) = 6 outcomes
eggs - orange juice
granola - orange juice
oatmeal - orange juice
eggs - milk
granola - milk
oatmeal - milk
25*10^-6 in standard form
Answer:
.000025
Step-by-step explanation:
25*10^-6
The negative means we move the decimal point to the left
The 6 means move it 6 places
25.
6 places to the left
Add the number of zeros as required
000025
.000025
Answer:
0.000025
Step-by-step explanation:
25 × 10^-6
25/10⁶
25/1000000
0.000025
8y - 1-/2 ( 4y - 16)
Answer:
6y +8
Step-by-step explanation:
8y - 1-/2 ( 4y - 16)
Distribute
8y - 1/2*4y - 1/2 *-16
8y -2y +8
Combine like terms
6y +8
What is the arc measure of CD in degrees?
Answer:
An arc is a segment of a circle. An arc measure is the measure of an angle that the arc creates in the center of a circle, while an arc length is the span of the arc. This measure can be given in degrees or radians. We can easily convert between the two using the fact that pi radians = 180 degrees.
Step-by-step explanation:
Mrs. Cho wrote the following problem on the board.
Problem: StartFraction 1 Over x squared EndFraction minus StartFraction 2 Over y EndFraction divided by y minus 2 x squared
Step 1: StartFraction y Over x squared y EndFraction minust StartFraction 2 x squared Over x squared y EndFraction divided by y minus 2 x squared
Step 2: StartFraction y minus 2 x squared Over x squared y EndFraction divided by StartFraction y minus 2 x squared Over 1 EndFraction
Step 3: StartFraction y minus 2 x squared Over x squared y EndFraction times StartFraction 1 Over y minus 2 x squared EndFraction
What should Mrs. Cho do next?
Answer:
Multiply the numerators and the denominators.
Step-by-step explanation:
Problem: [tex]\dfrac{1}{x^2}- \dfrac{2}{y}\div y-2x^2[/tex]
Step 1: [tex]\dfrac{y}{x^2y}- \dfrac{2x^2}{x^2y}\div y-2x^2[/tex]
Step 2: [tex]\dfrac{y-2x^2}{x^2y} \div \dfrac{y-2x^2}{1}[/tex]
Step 3: [tex]\dfrac{y-2x^2}{x^2y} X \dfrac{1}{y-2x^2}[/tex]
The next step would be to multiply the numerators and the denominators.
Step 4: [tex]\dfrac{y-2x^2}{(x^2y)(y-2x^2)}[/tex]
Since [tex]y-2x^2[/tex] is common in the numerator and denominator, it divides itself, thus our result is:
[tex]\dfrac{1}{x^2y}[/tex]
Amelia wants to put wood shavings in her ferret's cage. The floor of the cage measures 1 yard wide by 9 feet long. One bag of shavings covers 5 square feet. How many bags will Amelia have to buy to cover the floor of the cage?
Answer:
6 bags
Step-by-step explanation:
1 yard is 3 feet, so the area of the cage is ...
A = LW
A = (9 ft)(3 ft) = 27 ft^2
At 5 square feet per bag, the number needed is ...
(27 ft^2)/(5 ft^2/bag) = 5.4 bags
We assume that Amelia can only buy whole bags, so ...
Amelia will have to buy 6 bags to cover the floor of the cage.
A gaming console that is $300 plus 8% tax. What is the final cost of the console? (Round to the nearest cent) Please explain :)
Answer: $324
Explanation: I changed the 8% to 0.08 and multiplied that by 300 and got 24. Then I added 300+ 24 to get $324.
Answer:
324
Step-by-step explanation:
final cost = (100+8)% of 300 = 324
PLEASE HELP ME!! LIKE I NEED IT NOW!!
A DJ charges $150 for set-up and transportation, plus $65 per hour to entertain at a party. Which equation represents the relationship between the cost, y (in dollars), and the number of hours, x, for which the DJ is hired?
A DJ charges $150 for set-up and transportation, plus $65 per hour to entertain at a party. Which equation represents the relationship between the cost, y (in dollars), and the number of hours, x, for which the DJ is hired?
A. y= 150+65x
B. y= 65+150x
C. y=215x
D. y=65x
Answer:
A. y= 150+65x
Step-by-step explanation:
65 is the only number that changes. The 150 will be the same no matter what.
What is the power of 1^5
Answer:
1x1x1x1x1
Step-by-step explanation:
1^5 is the same as 1x1x1x1x1 because a power multiplies a number by itself
Answer:
1x1x1x1x1
Step-by-step explanation:
1^5 = 1x1x1x1x1 = 1
(happy to help!!!)
I need help please and thank you!
Answer:
(20) 15 and 90
(21) $10 for adults and $4.50 per child
(22) 10 quarters and 15 dimes
Step-by-step explanation:
lol too much to explain but im certain im correct abt them. Good luck
Solve the inequality: –3(–3x – 4) < 66
To solve the inequality -3(-3x - 4) < 66, first distribute the -3, then isolate the variable term resulting in 9x < 54 and divide by 9 to find x < 6 as the solution set.
Explanation:Solving the Inequality
To solve the inequality -3(-3x - 4) < 66, we first distribute the -3 across the terms within the parentheses, which gives us 9x + 12 < 66.
Next, we subtract 12 from both sides to isolate the term with the variable, resulting in 9x < 54. Finally, we divide both sides by 9 to solve for x, which yields x < 6.
Thus, the solution set to the inequality is all real numbers less than 6.
The length of a rectangle is 7 inches longer than its width. If the area of the
rectangle is 144 square inches, what are the dimensions?
The dimensions of the rectangle are 9 inches (width) and 16 inches (length) as obtained from solving the quadratic equation derived from the facts provided.
Explanation:To solve this problem, let's denote the width of the rectangle as x in inches. Since we know that the length of the rectangle is 7 inches longer than its width, we can write it as x + 7 inches. The area of a rectangle is calculated by multiplying its length by its width. Here, it's given as 144 square inches.
Setting up the equation for the area, we get x(x + 7) = 144.
Solving this quadratic equation, we find that x = 9. As a result, the width is 9 inches and the length, being 7 inches longer, is 16 inches. Therefore, the dimensions of the rectangle are 9 inches by 16 inches.
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can u help me please
Answer:
C
Step-by-step explanation:
8x^2 - 8x + 2
=2(4x^2 - 4x + 1)
=2(2x - 1)^2
Please help me!! Will give brainliest!!
Answer:
A) 53
B) 53%
C) 37%
D) 63%
E) Yes.
Step-by-step explanation:
A) 53 people did not get headaches at all.
B) To solve for the percentage of participants that reported they did not get a migraine headache, you will need to divide out of the TOTAL number of people:
53/100= .53 --> Convert to percentage--> .53×100 = 53%.
C) To find this value, you will need to divide out of the amount of people that took MEDICINE and got a headache:
22/60≈0.367--> Convert to percentage --> 0.367×100≈37%
D) This percentage will be found out of who did NOT take the medicine:
25/40= 0.625 --> Convert to percentage --> 0.625×100≈63%
E) The medicine did help prevent migraine headaches because the percentage that got migraines with the medicine is lower than the percentage that got migraines WITHOUT the medicine.
PLease help, I need this in 2 minutes!
y÷2.3+5.69=7.58
Answer:
y=4.347
Step-by-step explanation:
To solve for y in the equation:
[tex]\dfrac{y}{2.3}+5.69 =7.58[/tex]
First, subtract 5.69 from both sides
[tex]\dfrac{y}{2.3}+5.69-5.69 =7.58-5.69\\\dfrac{y}{2.3}=1.89\\$Cross Multiply\\y=1.89 X 2.3\\y=4.347[/tex]