8. A teacher is cutting along the diagonal of a rectangular piece of construction
paper for a bulletin board which is 11 inches long and 8.5 inches wide. What
will be the length of the cut?
Answer:
The length of the diagonal is 13.90 inches
Step-by-step explanation:
This question can be remolded as calculating the length of the diagonal of a rectangle with dimensions 11 inches by 8.5 inches.
The diagonal refers to that length that runs from one inner edge of the rectangle to the other inner edge of the rectangle.
To calculate this length, we shall be making use of the Pythagoras’ theorem
Please check attachment for the kind of figure i’m trying to paint.
Let’s call the diagonal D
Using the Pythagoras’ theorem,
D^2 = 11^2 + 8.5^2
D^2 = 121 + 72.25
D^2 = 193.25
D = √193.25
D = 13.90 inches
Which number has the least value?
Answer:
Your annswer is b
Step-by-step explanation: because it is least than all of the others
The number that has the least value is given as -13.142.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
The number given in the options are |-10.869|, -14⁶/₇, 9.21 and |-10.25|.
Write all the numbers in one equivalent form as below,
⇒ |-10.869| = 10.869
⇒ -14⁶/₇ = -14 + 6/7 = -13.142
⇒ 9.21
⇒ |-10.25| = 10.25
It is clear from the equivalent form that the least value is -13.142.
Hence, the the least value number is obtained as -13.142.
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What is the coefficient in the following expression?
5a to the 2 power subtracted by 7
a)7
d)2
c)5
b)a
Answer:
c)5
Step-by-step explanation:
Coefficient is always the numerical value before the variable
I hope this helped and have a good rest of your day!
2p^2+p-4=0
Can someone please help and show how you did it I am not understanding this thank you so much
See the attached picture:
A spinner has 5 equal sections numbered 1 to 5. What is the probability of the spinner stopping on a number that is a multiple of 2 or is less than 3?
help!!!!!!!!!plz.....
Answer: 1/5, .2, and or 20%
Step-by-step explanation:
The only multiple of 2 that is less than 3 and greater than 1 is 2, so there is a 1/5, .2 and or 20% chance of this happening
Ellie bought two pairs of shoes during a BOGO (Buy One, Get One) sale. She received a 20% discount on the second pair of shoes. The regular price of each pair of shoes was $49.99. How much did Ellie pay for the two pairs of shoes, excluding tax?
Answer:
89.98
Step-by-step explanation:
49.99 x 20% = 9.998
So, 20% of 49.99 is 10.
49.99 - 10 = 39.99 To get the Total of the discounted item.
49.99 + 39.99 = 89.98 Add final totals to get answer
helppppppppppppppppp
Answer:
3/4 of an inch
Step-by-step explanation:
The longest plant is 7/8 of an inch
The shortest plant is 1/8 of an inch
7/8 - 1/8 = 6/8
Simplifying = 3/4
plzWegnerkolmp2741o helpme plzzzzzzzzzz
Answer:
y = -2 +sqrt(7)
y = -2 - sqrt(7)
Step-by-step explanation:
y^2 +4y +4 = 7
Factor, recognizing that this is the sum of squares
a^2 +2ab+b^2 = (a+b)^2
(y+2) ^2 = 7
Take the square root of each side
sqrt((y+2) ^2) =± sqrt(7)
y+2 = ± sqrt(7)
Subtract 2 from each side
y+2-2 = -2 ± sqrt(7)
y = -2 ± sqrt(7)
Answer:
C)
Step-by-step explanation:
-2+sqrt(7) ≈ 0.649
-2-sqrt(7) ≈ -4.646
each are x-intercepts
Simplify (√3 − √7)^2
Answer: 10 - 2√21
Step-by-step explanation: I simplified your question by using an online calculator. :)
7h=-(2h-18)7h=−(2h−18) Solve for h
Answer:
h=2
Step-by-step explanation:
7h=−(2h−18)
Distribute the minus sign
7h = -2h +18
Add 2h to each side
7h +2h = -2h+2h +18
9h = 18
Divide each side by 9
9h/9 =18/9
h =2
Answer:
h = 2
I got it right on Kahn Academy
The distributive property can be applied to which expression to factor 12x3 – 9x2 + 4x – 3?
Answer:
3x2(4x – 3) + 1(4x – 3)
Step-by-step explanation:
5x to the power of 2 =25x to the power of 2
Answer:
1:5
Step-by-step explanation:
5x² = 25x²
Divide both sides by 5x²
5x²/5x² = 25x²/5x²
1:5
please answer both questions!! will mark brainly
Answer:
m=2
mean is 13
In ΔNOP, the measure of ∠P=90°, NP = 12, PO = 35, and ON = 37. What ratio represents the cosine of ∠O?
Answer:
35/37
Step-by-step explanation:
In this question, we are to calculate the ratio that represents the cosine of angle O
Firstly, please check attachment for diagram of the triangle.
Mathematically, the trigonometric term Cos means the ratio of the length of the adjacent to that of the hypotenuse
The hypotenuse is the longest length which is 37 which represents the length ON
The side adjacent to angle O is the side OP which is 35
Thus, the ratio representing the cosine of angle O is 35/37
Answer:
8/15
Step-by-step explanation:
this is another answer, if you get these numbers
A circle has centre (0, 0) and it passes through the point (5, -3)
Find the radius of the circle, in surd form.
Answer:
radius = [tex]\sqrt{34}[/tex]
Step-by-step explanation:
The radius r is the distance from the centre to a point on the circle.
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (5, - 3)
r = [tex]\sqrt{(5-0)^2+(- 3-0)^2}[/tex]
= [tex]\sqrt{5^2+(-3)^2}[/tex]
= [tex]\sqrt{25+9}[/tex]
= [tex]\sqrt{34}[/tex]
Para eleição do grêmio estudantil existem 5 cargos. Presidente, vice presidente, diretor, vice diretor e tesoureiro. A chapa ganhadora tem 5 pessoas: Alessandra, Bárbara, Carla, Denise e Elvira. De quantas maneiras diferentes as cinco pode ocupar os cargos do grêmio estudantil? *
Answer:
There are 120 ways for their roles to be divided.
120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.
Step-by-step explanation:
We want to arrange n people in n positions.
Since the number of objects(in this case, the people) is the same as the number of positions(in this case, the roles), we use the arrangments formula.
Arrangments formula:
The total number of possible arrangents of n elements is:
[tex]A_{n} = n![/tex]
In this question:
5 students, so
[tex]A_{5} = 5! = 120[/tex]
There are 120 ways for their roles to be divided.
120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.
Claire bought a pair of jeans that regularly cost $50 on sale for $40. What was the percent decrease in price?
The answer is 20%
If 50 is your 100%, take 100 and 90 for example it would be obvious that is it 10% off, so with 50 since it is half of 100 you double the 10% which will be 20%. :)
Answer:
-20% decrease
Step-by-step explanation:
40-50=-10
-10/50=-0.2
-0.2*100=-20%
Hope this helps.
Find the area of the shaded regions:
The pink is the shaded region
Answer: 5184.
Step-by-step explanation:
You do 72 x 72.
A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.
A. What is the slant height of the pyramid?
B. What is the surface area of the composite figure?
C. How many cubic yards of concrete are needed to make the planter?
Answer:
Notice that each edge of the cube is 2 yards long, and the height of the pyramid is 2 yards long too.
The slant height refers to the height of a triangle on its face, which forms a right triangle with the height of the pyramid and half side. Using Pythagorean's Theorem, we have
[tex]s^{2}=1^{2} +2^{2}\\ s=\sqrt{5}[/tex]
Therefore, the slant height is the square root of 5, in yards units. (A)
The surface of the composite figure is the sum of the surface area of both volumes.
[tex]S_{composite}=S_{cube} +S_{pyramid}\\ S_{composite}=5(2)^{2} +(2)^{2} +\frac{1}{2} (8)(\sqrt{5} )=20+4+4\sqrt{5} \\ S_{composite}\approx 32.9 yd^{2}[/tex]
Therefore, the surface of the composite figure is 32.9 square yards. (B)
The concrete needed will fill the empty space between the cube and the pyramid, so we have to find the difference between their volumes.
[tex]V_{concrete}=V_{cube} -V_{pyramid}=2^{3}-\frac{1}{3}(2)^{2} (2)=8-\frac{8}{3} \\V_{concrete} \approx 5.33 yd^{3}[/tex]
Therefore, we need 5.33 cubic yards of concrete to make the planter. (C)
Answer:
A. 2.24 yd
B. 53.67 yd²
C. 5.33 yd³
Step-by-step explanation:
Here we have;
Height of the pyramid = 2 yd
Side length of pyramid base = 2 yd
Therefore, the slant height forms a right triangle with the height of the pyramid and half the base hence;
(Slant height)² = (2·yd)² + (2·yd/2)² = 4·(yd)² + (yd)² = 5·(yd)²
∴ Slant height = √5 yards = 2.24 yd
B. The surface area of the cube with one side open is found as follows;
Surface area of container cube = 5 × (2·yd)² = 20 yards²
The surface area of the pyramid = Base area + 1/2 perimeter of base × Slant height
Since the base is open, we have;
The surface area of the pyramid = 1/2 perimeter of base × Slant height
= 1/2 × (4 × (2·yd))×yd·√5 = 4·yd×yd·√5 = 4·√5·(yd)²
Hence total surface area of the planter = Surface area of container cube + surface area of the pyramid
total surface area of the planter = 20·yd² + 4·√5 yd² = 24·√5 yards²
C. The volume of concrete needed to make the planter is the volume of the cube concrete container less the volume of the inverted pyramid
Volume of the cube = 2 × 2 × 2 = 8 yd³
Volume of the inverted pyramid = 1/3 × Base area × Height
Volume of the inverted pyramid = 1/3 × 2 × 2 × 2 = 8/3 yd³
Therefore, volume of the concrete needed = 8 yd³ - 8/3 yd³ = 16/3 yd³ = 5.33 yd³.
The length of a rectangle is 5 m less than twice the width, and the area of the rectangle is 52m ^ 2 . Find the dimensions of the rectangle.
The dimension of the rectangle is 8m by 6.5m respectively
Area of a rectangleThe formula for calculating the area of a rectangle is expressed as;
A =lw
If the length of a rectangle is 5 m less than twice the width, then;
l = 2w - 5
Substitute
A = w(2w-5)
52 = 2w² - 5w
2w² - 5w = 52
2w² - 5w - 52 = 0
(2w−13)(w+4)=0
Step 2: Set factors equal to 0.
2w−13=0 or w+4=0
w =13/2 or 6.5m
Determine the length
l = 2w - 5
l = 2(6.5) - 5
l = 13 - 5
l =8m
Hence the dimension of the rectangle is 8m by 6.5m respectively
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The graph of a polynomial is shown below. Is its highest power even or odd? Explain.
Answer:
Step-by-step explanation:
the graph is at the highest power at the top left corner because the graph shape has a even or odd chance so that is the answer
It's highest power is odd
What is graph of polynomial ?
The graph of a polynomial function will touch the x-axis at zeros with even multiplicities. The graph will cross the x-axis at zeros with odd multiplicities. The sum of the multiplicities is the degree of the polynomial function.
According to the question,
Graph of polynomial is shown in given graph,
(1) at point A graph passes linearly
(2) At point b, graph passes x-axis cubically
(3) At point c, Graph passes x-axis linearly
Hence, polynomial having degree 5
Hence, it's highest power is odd
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Linda earns $5.25 and spent $3.75 one week the next week she earned $4.40 and spent $2.25 how much money did Linda have left after these two weeks
Total what she made.
5.25 + 4.40 = 9.65
Total what she spent:
3.75 + 2.25 = 6.00
Subra to the amount spent from the amount earned:
9.65 -6.00 = 3.65
She has $3.65 left
Determinado automovel, apos sua compra, perde 10% do valor ano a ano nos 3 preimeiros anos. Calcule o valor do automovel ao final desse periodo sabendo que ele foi comprado por R$80.000
Answer:
The value of the car after 3 years is R$58.320.
O valor do carro ao final desse período é R$58.320.
Step-by-step explanation:
The value of the car after t years is given by the following equation:
[tex]V(t) = V(0)(1-r)^{t}[/tex]
In which V(0) is the initial value and r is the yearly depreciation rate.
In this question, we have that:
[tex]V(0) = 80000, r = 0.1[/tex]
So
[tex]V(t) = V(0)(1-r)^{t}[/tex]
[tex]V(t) = 80000(1-0.1)^{t}[/tex]
[tex]V(t) = 80000(0.9)^{t}[/tex]
Value of the car at the end of 3 years:
[tex]V(3) = 80000(0.9)^{3} = 58320[/tex]
The value of the car after 3 years is R$58.320.
O valor do carro ao final desse período é R$58.320.
I don’t understand this question please help
Answer:
Between 3² and 4⁴
Between 3 and 4
Step-by-step explanation:
Number 15 is between between 3² and 4⁴
While √15 = 3.8 72 is between 3 and 4.
Find the common difference of the arithmetic sequence 13,10,7
Answer:
-3 I think
Step-by-step explanation:
well 10-7=3 and 13-10=3
but since it is greater number first it would make it a -3
Use the Rate-Factor Model for multiplication. The rate is 320 feet per hour, 320 feethour . The hiking team descended the mountain from 1 pm to 5 pm. The net change is a __________________ of _________________feet.
increase, 320 feet
decrease, 320 feet
increase, 1,280 feet
decrease, 1,280 feet
Answer:
The net change is a decrease of 1,280 feet
Step-by-step explanation:
From the question, we understand that the hiking team has a work rate of 320 feet / hour
Now that are descending between the hours 1pm and 5pm, this means that they descended for a total of 4 hours.
Now the total number of feet they have descended will be the number of hours * work rate = 4 hours * 320 feet/hour = 1,280 feet
Thus, the net change is decrease of 1,280 feet
If nominal GDP is 2400 and the money supply is 400, what is the velocity?
Answer:
The velocity of money is 6.
Step-by-step explanation:
Nominal Gross Domestic Product is the Gross Domestic Product that has been determined by the current prices of goods and services in a market.
Money velocity expresses the rate at which money moves from one entity to another in a given economy. It it the ratio of the nominal Gross Domestic Product to the money supply in an economy.
i.e V = [tex]\frac{P * Y}{M}[/tex]
where: V is the velocity of money, P x Y is the nominal GDP i.e price level x output/real GDP, and M is the money supply. High velocity of money causes an increase in inflation.
Given that, nominal GDP = 2400 and money supply = 400, then;
V = [tex]\frac{2400}{400}[/tex]
= 6
Therefore the velocity of money is 6.
A cell phone and phone case cost $110 in total. The cell phone costs $100 more than the phone case. How much was the cell phone?
Answer:
105
Step-by-step explanation:
if both together cost $110
and the cell phone cost 100 more than the phone case, we need to find the cost for the phonecase
and it's 105
hope this helped:D
brainliest is appreciated if u want
Answer:
$105 r e
Step-by-step explanation:
I need help guys . Anyone help me ?
Answer:
2:3
Step-by-step explanation:
15/25 are girls
10/25 are boys
10/25 to 15/25
2/5 : 3/5
2:3
Round your answers to one decimal place, if necessary.
Find the mean and median of these data: 3, 4, 12, 14, 17, 19.
The mean is
The median is 14
Answer:
The mean is 11.5
Step-by-step explanation:
When looking for the mean you add all the given numbers then divide based on the amount of numbers.
3+4+12+14+17+19=69
69/6=11.5
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