36
area of square = s²
given s = 6 , then
area = 6² = 36
Length of a side is considered to calculate area of a square. The area of a square can be defined as the number of square units needed to fill a square.
The formula to calculate Area of square is:
[tex]\rm Area\: of\:square = \rm side^2[/tex]
We need to calculate area of a square with sides [tex]\rm\\6 \:centimetres[/tex].
As per above stated formula:
Area of square is square of length of its sides.
[tex]\begin{aligned}\rm Area\:of\: square &= \rm side^2\\&= 6^2\\&= 36\end[/tex]
Therefore, the area of square with side 6 is 36.
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Un cheatah puede recorrer 20 kilometros en 10 minutos. Si pudiera mantener esta velocidad durante una hora ,? cuantos kilometros recorreria
Answer:
If you can maintain this speed you will travel 120 km in 1 hour.
Explanation:
The translated question is, A cheetah can travel 20 kilometers in 10 minutes. If I could maintain this speed for one hour, how many kilometers would you travel?.
Let us find the speed of cheetah
Distance traveled = 20 km
Time taken = 10 minutes = 10/60 = 1/6 hours
So speed = [tex]\frac{20}{\frac{1}{6} } =120[/tex]km/hr.
So speed of cheetah = 120 km/hr, which means cheetah will travel 120 km in 1 hour.
If you can maintain this speed you will also travel 120 km in 1 hour.
Will mark brainliest please help , worth 30 points need answers too both
(18)
2.5% of 129,500 is
$129500 * 0.025 = $3237.50 is the commission on the sale
(19)
sales $3012
commission 3.5% of sales: 0.035 * 3012 = $105.42
Raquelle's total earnings: $290 + 105.42 = $395.42
A box of 20 dictionaries costs $84. An individual dictionary costs $5. You need at least 55 dictionaries. Find the price of each combination of items.
55/20=2 as qutiont and 15 as remainder
2X84=168
15X5=75
answer=243
in how many ways can five girls and five boys stand in line if boys and girls must alternate?
[tex]5\cdot5\cdot4\cdot4\cdot3\cdot3\cdot2\cdot2\cdot1\cdot1\cdot2=28,800[/tex]
The ticket price for the hockey match was 14.50. The price has increased by 7%. How much is a ticket after the increase
Answer:
15.5
Step-by-step explanation:
10 rubber stamps cost $10.30. What is the cost for 2 rubber stamps?
Answer:
2.06
Step-by-step explanation:
you should divide the 10.30 dollars by 10 which wlll give you the answer of one of them then you just multiply what you got by 2 ((:
To find the cost for 2 rubber stamps from the given information about 10 rubber stamps costing $10.30, the cost for 2 stamps is $2.06.
The cost for 10 rubber stamps is $10.30. To find the cost for 2 rubber stamps, we need to calculate the cost per rubber stamp and then multiply it by 2.
Cost per rubber stamp = Total cost / Number of rubber stamps = [tex]\frac{10.30}{10} = 1.03[/tex]
Cost for 2 rubber stamps = $1.03 per rubber stamp [tex]\times[/tex] 2 rubber stamps = $2.06
What is the number that has the same absolute value as 81
A conjecture and the flowchart proof used to prove the conjecture are shown.
Drag an expression or phrase to each box to complete the proof
Here are the answers below that I got. Hope this helps mate. Cheers.
Answer:
As mention in the explanation steps.
Step-by-step explanation:
The following expression or phrase to each box are helpful to complete the proof.
(1). We say that ∠ACB and ∠BCD are supplementary, from linear pair of postulate.
(2). ∠ACB + ∠BCD =180°, because ∠ACB and ∠BCD are supplementary (from the difinition of supplementary angles).
(3). ∠ACB +45° = 180° because ∠BCD =45°(substitute).
(4).Subtraction properties of equality ( because we subtract 45 degree from both sides of the previous equation).
(5). ∠ABC is obtuse, because m∠ABC grater than 90°.
(6). From the definition of obtuse triangle (ΔACB is an obtuse triangle because ∠ACB =135 degree which is grater than 90 degree).
The probability of choosing two orange balls without replacement is 1/35 , and the probability of choosing one orange ball is 1/5 .
What is the probability of drawing a second orange ball, given that the first ball is orange?
1/7
11/75
2/7
1/6
Answer:
answer is 1/7
Step-by-step explanation:
Given that there were some orange balls in a bag.
The probability of choosing two orange balls without replacement is 1/35 , and the probability of choosing one orange ball is 1/5 .
We have to find out the probability of drawing a second orange ball, given that the first ball is orange
Let A - I ball orange
B = II ball orange
Then P(AB) = 1/35 (given)
P(A) = 1/5 (given)
The probability of drawing a second orange ball, given that the first ball is orange = P(B/A)
=P(AB)/P(A)
= 1/35 divided by 1/5
= 1/7
answer is 1/7
Answer: 1/7
Step-by-step explanation:
John recieves £173 per week after working for 25 hours. How much does he get per hour
Answer:
Amount John gets paid per hour [tex]6.92[/tex] Dollars per hour ,
Step-by-step explanation:
To find how much he gets paid per hour we need to divide the total payment he received by the total number of hours he worked.
Amount John gets paid per hour = [tex]\frac{173}{25}[/tex] Dollars per hour.
=[tex]6.92[/tex] Dollars per hour
Are O, N, and P collinear? If so, name the line on which they lie.
We are given a figure where M, N , O and P points are given.
We need to explain if points O, N, and P collinear or not.
Note: All co-linear points are in a straight line.
From the figure, we can see that O and N points are in a straight line but point P is aside.
So, the points O, N, and P are not collinear.
Therefore, correct option is "No, the three points are not collinear".
Geometry help , only answer if your sure please. The question is in the attached
Your answer would be D, The translation doesn't change the size or shape. Just location.
Hope this helped.
Please Help! <3 Which relation is a function?
Apply the vertical line test. Think of a vertical line moving from left to right in the graph. If the graph of the relation intersects the vertical line in more than one point in any position of the vertical line, then the relation is not a function.
The only graph that passes the vertical line test is the graph at the bottom right.
The graph at the bottom right is a function. All others are not.
Yul has lunch at a resterant if his bill was $14.50 and yul wants to leave a 20% tip what is the amount he should leave for the tip
14.50 times 0.20 = 2.9
He would give a $2.90 as a tip of 20% from a bill of $14.50
Justify each step in solving the equation 4x=7(x-3) by writing a reason for each statement.
Answer:
Statement Reason
1. 4x=7(x-3) 1. given
2. 4x=7x-21 2.
3. -3x=-21 3.
4. x=7 4.
1. 4x = 7(x - 3) GIVEN
4x = (7)(x) + (7)(-3)
2. 4x = 7x - 21 DISTRIBUTIVE PROPERTY
4x - 7x = 7x - 7x - 21
3. -3x = -21 SUBTRACTION PROPERTY OF EQUALITY
-3x : (-3) = -21 : (-3)
4. x = 7 DIVISION PROPERTY OF EQUALITY
1. Given
2. Distributive Property
3.Subtraction Property of Equality
4. Division Property of Equality
a plumber's fees f are $75 fora house call and $60 per hour h for each hour worked. Write a function rule
The function for the given situation is f=60h+75.
Given that, a plumber's fees f are $75 for house calls and $60 per hour h for each hour worked.
We need to model a function for the given situation.
What is a function?Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h.
According to the question, we can model function as follows:
f=60h+75
Therefore, the function for the given situation is f=60h+75.
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Help With Proving Theorems
20 POINTS
1. If two vertical angles are supplementary, what is the measure of each angle?
Remember that when two angles are vertical angles, their angle measurements are the same, as the angles are congruent.
Note the Vertical Angle Theorem. Angles vertically opposite (directly opposite) when two lines intersect are congruent with each other.
Now note that supplementary means 180°
Set the equation. Let the angles = x
2x = 180
Isolate the x. Note the equal sign. What you do to one side, you do to the other. Divide 2 from both sides
(2x)/2 = (180)/2
x = 180/2
x = 90
90° is the measurement of each angle.
~Rise Above the Ordinary
Use the diagram and the following equation to solve for x.
(Insert diagram below)
113 + (2x + 5) = 180
x=___
Starting with 113+ (2x+5)=180, combine like terms and to get 118+2x=180. Subtract 180-118, which gives you 62. Then you have 2x=62. Divide both sides by 2 to get a final answer of x=31.
Hey there!!
Given :
... 113 + ( 2x + 5 ) = 180
Subtract 113 on both sides
... 2x + 5 = 180 - 113
... 2x + 5 = 67
Subtract 5 on both sides
... 2x = 62
Divide by 2 on both sides
... x = 31
The value of x is 31.
Hope my answer helps!!
During a promotional event a sporting good store gave a free t-shirt every eighth customer and a free water bottle every 10th customer which customer was the first to get a free t-shirt and a free water bottle
Answer:
40th customer
Step-by-step explanation:
Given that there is a promotional event
A sporting good store gave t shirt and free water bottle.
T shirt was given to 8th customer and water bottle to every 10th customer.
For the first person who should get both, he should have number as least common multiple of 8 and 10
8 = 2x2x2
10 = 2x5
Hence least common denominator = 2x2x2x5 = 40
Thus 40th customer will be the first to get both.
Multiply. (9x−2)(3x−8) Enter your answer, in standard form, in the box. show how to if possible plz and thanks <3
So, the product of (9x - 2)(3x - 8) in standard form is: [tex]27x^2 - 78x + 16[/tex]
What is the MultiplicationTo multiply the expressions (9x - 2) and (3x - 8)
Step 1: Use the distributive property
(9x - 2)(3x - 8) = 9x * (3x) + 9x * (-8)
(9x - 2)(3x - 8) = -2 * (3x) - 2 * (-8)
So , perform the multiplications:
Multiply the terms:
[tex]9x * 3x = 27x^2[/tex]
9x * (-8) = -72x
-2 * 3x = -6x
-2 * (-8) = 16
Combine like terms:
[tex]27x^2 - 72x - 6x + 16[/tex]
Simplify further by combining like terms:
27x^2 - 78x + 16
So, the product of (9x - 2)(3x - 8) in standard form is: [tex]27x^2 - 78x + 16[/tex]
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On a trip to the movies a family spent 35 on tickets and another 25 on popcorn. They alsp spent 10 on drinks. The oldest son spent some money on candy. Altogether the family spent 76. How much did the oldest son spend on candy
$6 dollars on candy because 35+25+10=70, 76-70=$6
An urn contains 10 marbles: 4 red, 3 white, 2 blue, and 1 orange. (4 points) (a) What is the probability of drawing a marble that is red or white? (b) What is the probability of drawing a marble that is neither red nor white? (c) What is the probability of drawing a pair of marbles, one red and one white at the same time? (d) What is the probability of drawing a pair of marbles, one blue and one orange at the same time?
Answer:
a) 0.70
b) 0.30
c) 12/45 =4/15
d) 2/45
Step-by-step explanation:
a) Prob of drawing a marble red or white = No of red and white marbles/total marbles
= 7/10 = 0.70
b) Prob of drawing a marble neither red nor white = 1-7/10 = 0.30
c) Prob of drawing two marble one red and one white at the same time
= [tex]\frac{4C1 (3C1}{10C2 } =\frac{12}{45}[/tex]
d) Prob of drawing two marble one blue and orange white at the same time
= [tex]\frac{2C1 (1C1}{10C2 } =\frac{2}{45}[/tex]
Martina works mowing lawns and babysitting. She earns 7.90 for mowing lawns and 6.90 for babysitting. How much will she earn for 7 hours of mowing and 1 hour of babystting
mowing lawns: 7 * $7.90 = $55.30
+ babysitting: 1 * $6.90 = $ 6.90
$62.20
Answer: $62.20
Which inequality has –12 in its solution set?
a. X+6<-8
b. X+4>)-6
c. X-3>-0
d. X+5<)-4
Answer:
option d
Step-by-step explanation:
Solve each inequality and check which inequality has -12 as a solution
a. [tex]x+6<-8[/tex]
Subtract 6 from both sides
[tex]x<-14[/tex]
b. [tex]x+4>-6[/tex]
Subtract 4 from both sides of the inequality to get x alone
[tex]x>-10[/tex]
c.[tex]x-3>-0[/tex]
Add 3 on both sides
x>3
d. [tex]x+5<-4[/tex]
Subtract 5 from both sides
x<-9
-12 lies below -9. So x<-9 has -12 in its solution
Enter an equation that can be used to find x. (Picture below)
The equation ____ can be used to find x.
(2x+1)+89=180. 180 is the angle of a straight line. Set your two known sides equal to 180 and solve for x if needed.
I need halpp can ya'll folks help ma plez.What is 2.5x=15 thank you
place x to the other side of the equation
x=15/2.5
x=6
Answer:
6
Step-by-step explanation:
If you take 15 and divide it. by 2.5 you. get 6
How do I find the zeros of x^4-10x^3-66x^2-94x-39
Answer: x = -1, -3, 7 + √62, 7 - √62
Step-by-step explanation:
q p
x⁴ - 10x³ - 66x² - 94x - 39
[tex]\frac{p}{q}[/tex] = +/- [tex]\frac{1*3*13*39}{1}[/tex]
possible rational factors: 1, -1, 3, -3, 13, -13, 39, -39
Use synthetic division or long division to see which factor will leave a remainder of 0.
try x + 1 = 0 ⇒ x = -1
-1 | 1 -10 -66 -94 -39
| ↓ -1 11 55 39
1 -11 -55 -39 0
(x + 1)(x³ - 11x² - 55x - 39)
next, try x + 3 = 0 ⇒ x = -3 for the new polynomial
-3 | 1 -11 -55 -39
| ↓ -3 42 39
1 -14 -13 0
(x + 1)(x + 3)(x² - 14x - 13)
Lastly: find the zeros by setting each factor equal to zero and solve.
x + 1 = 0 ⇒ x = -1
x + 3 = 0 ⇒ x = -3
x² - 14x - 13 = 0
[tex]x = \frac{-(b) +/- \sqrt{(b)^{2} -4(a)(c)}}{2(a)}[/tex]
[tex]= \frac{-(-14) +/- \sqrt{(-14)^{2} -4(1)(-13)}}{2(1)}[/tex]
[tex]= \frac{14 +/- \sqrt{196+52}}{2}[/tex]
[tex]= \frac{14 +/- \sqrt{248}}{2}[/tex]
[tex]= \frac{14 +/- 2\sqrt{62}}{2}[/tex]
[tex]= 7 +/- \sqrt{62}[/tex]
Can someone help me please?
Answer:
i think that the best answer to the question is b
Step-by-step explanation:
What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?
A.
x2 + y2 − 4x + 2y + 1 = 0
B.
x2 + y2 + 4x − 2y + 1 = 0
C.
x2 + y2 + 4x − 2y + 9 = 0
D.
x2 − y2 + 2x + y + 1 = 0
Answer:
B. x² + y² + 4x − 2y + 1 = 0Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the center (-2, 1) → h = -2 and k = 1.
The radius is the distance between the center and the given point.
Therefore put the coordinates of the points (-2, 1) and (-4, 1) to the formula of a distance between two points:
[tex]r=\sqrt{(-4-(-2))^2+(1-1)^2}=\sqrt{(-2)^2+0^2}=\sqrt{4}=2[/tex]
We have the equation in standard form:
[tex](x-(-2))^2+(y-1)^2=2^2\\\\(x+2)^2+(y-1)^2=4[/tex]
Convert to the genereal form using:
[tex](a\pm b)^2=a^2\pm2ab+b^2[/tex]
[tex](x+2)^2+(y-1)^2=4\\\\x^2+2(x)(2)+2^2+y^2-2(y)(1)+1^2=4\\\\x^2+4x+4+y^2-2y+1=4\\\\x^2+y^2+4x-2y+5=4\qquad\text{subtract 4 from both sides}\\\\\boxed{x^2+y^2+4x-2y+1=0}\to\boxed{B.}[/tex]
mary pitches a ball. the initial height is 8 ft and velocity 80 ft per second. when will the ball hit the ground?
Initial velocity of the ball (u) = 80 ft/ sec
Final velocity of the ball after reaching the ground (v) = 0
Distance covered by the ball to reach the ground (s) = 8 ft
Let "a" be the acceleration of the ball.
We know, [tex]2as=v^{2}-u^{2}[/tex]
[tex]2a(8)=0-80^{2}=-6400[/tex]
[tex]a=-\frac{6400}{16}[/tex]
[tex]a=-400ft/s^{2}[/tex]
Let "t" be the time required to reach the ground.
We know,
[tex]v=u+at[/tex]
[tex]t=\frac{v-u}{a}[/tex]
[tex]t=\frac{0-80}{-400}[/tex]
[tex]t=0.2s[/tex]
The ball will hit the ground in 0.2 second.