Step-by-step explanation:
All exterior angles of any n-gon that is closed is 360
A quadrilateral has the following vertices on a coordinate plane:
Point J: (3,−6)
Point K: (−1,−6)
Point L: (−1,2)
Point M: (3,2)
Enter the length of side JK.
units
Answer:
We have to draw it!
Step-by-step explanation:
Use graph paper:
4 units i graphed it out
Molly is making strawberry infused water. For each ounce of strawberry juice, she uses three times as many ounces of water. How many ounces of strawberry juice and how many ounces of water does she need to make 84 ounces of strawberry infused water
Answer:
21 ounces of juice.
63 ounces of water
Step-by-step explanation:
let :
x = ounces of strawberry juice to make the strawberry infused water.
3x = ounces of water needed to make the strawberry infused water.
3x + x = 84
4x = 84
divide both sides of the equation by 4
x = 21 ounces
3x = 3 x 21 = 63 ounces
Find the missing value so that the line passing through the 2 points has the given slope.
(-7,-3) and (-1. y); slope: 1
Answer:
3
Step-by-step explanation:
We know that the slope of a line passing through the points ( x ₁ , y₁) and ( x₂ , y₂ ) is ,
→ Slope ( m ) = ( y₂ - y₁) / ( x₂ - x ₁ )
The points here are (-7,-3) and (-1,y) . Using formula of the slope , we have ,→ m = -3 - y / -7 - (-1)
→ 1 = -(3+y)/ -7+1
→ 1 = -(3+y) / -6
→ 6 = 3 + y
→ y = 6 - 3
→ y = 3
Hence the value of y is 3 .Please help me solve all of this thank you :) have a nice day <3
Answer:
I don't know how you wanted to round it
1)
SA = 8(7) + 12(7) + 10(7) + [tex]\frac{1}{2}[/tex] [tex]\sqrt{-8^4+2(8x12)^2+2(8x10)2-12^4+2(12x10)^2-10^4}[/tex]
SA = 289.3725
V = [tex]\frac{1}{4}[/tex] (7) [tex]\sqrt{-8^4+2(8x12)^2+2(8x10)2-12^4+2(12x10)^2-10^4}[/tex]
V = 277.80389
2)
SA = 8.1(13) + 8(13) + 8.1(13) + [tex]\frac{1}{2}[/tex] [tex]\sqrt{-8.1^4+2(8.1x8)^2+2(8.1x8.1)^2-8^4+2(8x8.1)^2-8.1^4}[/tex]
SA = 370.94749
V = [tex]\frac{1}{4}[/tex] (13) [tex]\sqrt{-8.1^4+2(8.1x8)^2+2(8.1x8.1)^2-8^4+2(8x8.1)^2-8.1^4}[/tex]
V = 366.2587
There are 20 questions in a quiz. Each correct answer scores 7 points, each wrong answer scores -4 points and each question left blank scores 0 points. Eric took the quiz and scored 100 points. How many questions did he left blank?.
He answered 16 questions correctly, and got 3 wrong answers.
==========================================================
Explanation:
Let
x = number of questions that are correct y = number of wrong answers z = number of questions left blankx,y,z are nonnegative whole numbers.
-------------------
Since there are 20 questions total, this means the first equation to set up is:
x+y+z = 20
Solving for y leads to
x+y+z = 20
y+z = 20-x
y = 20-x-z
We'll use this later.
-------------------
Another equation to set up is 7x-4y = 100 because Eric earns 7 points per correct answer and loses 4 points for each incorrect answer, and all that leads to 100 points total which was his quiz score. We'll ignore the questions he left blank since they add 0 points.
Let's plug the equation in which we isolated y
7x-4y = 100
7x-4(20-x-z) = 100
7x-80+4x+4z = 100
7x+4x+4z = 100+80
11x+4z = 180
-------------------
Now we can guess and check to see which pair of x and z values will make that last equation above true. I suggest starting with the smallest possible value of x and using that x value to solve for z.
If x = 0, then,
11x+4z = 180
11(0)+4z = 180
4z = 180
z = 180/4
z = 45
So if Eric got 0 correct answers, then he left 45 questions blank. But that isn't possible because there are only 20 questions total. So we'll ignore the case that x = 0.
If we increase x by 4, and decrease z by 11, then we get another ordered pair solution to this equation
So another solution is (x,z) = (4,34)
Note that
11x+4y = 180
11(4) + 4(34) = 180
But like before, z = 34 isn't possible since 20 is the max.
Increase x by 4 again, and drop z by 11 to get (x,z) = (8,23). Again we run into the same issue as before.
Increase x by 4 again, and decrease z by 11 to get (x,z) = (12, 12). Now we have both x and z smaller than 20, but note how x+z = 12+12 = 24 which exceeds the total number of questions. So we rule this case out as well.
Do another round of "increase x by 4, decrease z by 11" to get to (x,z) = (16, 1). This is the only case left because anything beyond this, z will be negative.
Luckily, this final case does work. If Eric answers x = 16 questions correctly, then he left z = 1 of them blank. That must mean y = 20-x-z = 20-16-1 = 3 questions were incorrect.
We can see that:
7x-4y = 7(16)-4(3) = 112-12= 100
meaning that (x,y) = (16,3) is a solution to 7x-4y = 100.
-------------------
To summarize, we found that the only possible solution is (x,y,z) = (16, 3, 1)
Meaning x = 16 questions were correct, y = 3 were wrong, and z = 1 question was left blank.
Plz help me thank you
Answer:
There are 5 shifts per day
Step-by-step explanation:
7 1/2 is equal to 7.5 and 1 1/12 is equal to 1.5
7.5/1.5= 5
Gina can trade empty bottles for money at the grocery store. She returned a few bottles worth $0.10 each and 6 bottles worth $0.05 each . The clerk paid Gina $0.80 for all of the bottles . How many bottles worth $0.10 did Gina return?
Answer:
5 bottles
Step-by-step explanation:
a total of $0.80 was paid
6 $0.05 bottles were returned= $0.05×6= $0.30
remainder= $0.80-$0.30= $0.50
amount of $0.10 bottles returned= $0.50÷$0.10= 5
20. Find the area of the shape below.
EI = 18 centimeters
KT 12 centimeters
Round your answer to the nearest centimeter.
Answer:
Step-by-step explanation:
What is v29?
Place a dot on the number line at the best approximation.
2.
3
4
5
6
Answer:
Please read explanations
Step-by-step explanation:
By direct calculations, we know that the nearest perfect square to 29 is 25
The next is 36;
Hence, since 29 is between 25 and 36; it is only proper that the square root of 29 is also between the square roots of both numbers
So, we can conclude that the square root is between 5 and 6
For actual values by calculating, we have this as 5.38 which to the nearest number is 5.4
so, we have the dot at the next 4 small lines after the number 5
4. The route for Millburn's Fourth of July parade stretches 2 miles (10,560 feet).
Spectators are usually evenly distributed along both sides of the route. Along one
side of 50 feet of the route, you count 15 children. Estimate the number of children
who attended the parade.
PLEASEEE HELP
Answer:
The estimated number of children who attended the parade is 6,336.
Step-by-step explanation:
Since the route for Millburn's Fourth of July parade stretches 2 miles (10,560 feet), and spectators are usually evenly distributed along both sides of the route, and along one side of 50 feet of the route, you count 15 children, to estimate the number of children who attended the parade, the following calculation must be performed:
(10,560 / 50) = 211.2
211.2 x 15 x 2 = X
211.2 x 30 = X
6.336 = X
Therefore, the estimated number of children who attended the parade is 6,336.
Cylinder X and Cylinder Y are similar. The volume of Cylinder Y is 89 in. Find the volume of
Cylinder X
4 cm
!!
22 cm
Cylinder X
Cylinder Y
O A. 45 cm
OB.
712 cm3
O C.
178 cm3
Answer:
Volume of Cylinder X = 712 cm³
Step-by-step explanation:
Given:
Volume of Cylinder Y = 89 cm³
Radius of cylinder Y = 2 cm
Radius of cylinder X = 4 cm
Find:
Volume of Cylinder X
Computation:
We know that, Cylinder X and Cylinder Y are similar
So,
Volume of Cylinder X / Volume of Cylinder Y = [Radius of cylinder X / Radius of cylinder Y]³
Volume of Cylinder X / 89 = [4/2]³
Volume of Cylinder X / 89 = [2]³
Volume of Cylinder X / 89 = 8
Volume of Cylinder X = 8 x 89
Volume of Cylinder X = 712 cm³
Please assist me in the geometry please !!!!
Answer:
Solution given:
length of cube[a]=6ft
volume of cube =a³=6³=216ft³
again
For cylinder
d=4ft
r=2ft
h=6ft
volume of cylinder=πr²h=π×2²×6=75.4ft³
Now
remaining volume=216-75.4=140.6ft³
is a required answer.
$775 at 6% simple interest for 3 years.
$775 at 6% simple interest for 3 years.
____________________Solution :-Given Information :-Principal ( P ) = $775Rate of Interest ( R ) = 6% p.a.Time Period ( T ) = 3 years To Find :-Simple Interest Formula Used :- [tex] \boxed{ \sf\dfrac{principal \times rate \times time}{100} }[/tex] Calculation :-Substituting the given values in the formula, We get,
[tex] \sf: \implies \dfrac{775 \times 6 \times 3}{100} [/tex]
Calculating further, We get,
[tex] \sf: \implies \dfrac{13950}{100} [/tex]
Dividing, We get,
[tex] \sf: \implies \$ 139.50[/tex]
∴ The Simple Interest is $139.50
____________________Final Answer :-The Simple Interest is $139.50____________________Estimate 16.82-8.264 by first rounding each number to the nearest tenth.
pls help i need the right answer!
Answer:
so the answer is about 8.40
Steps
--------------------------------------------------------------------------------------------------------------
find the number in the tenth place and look one place to the right for the rounding digit. Round up if the number is greater than or equal to 5 but since 2 is less than 5, stays the same
16.820⇒16.82
--------------------------------------------------------------------------------------------------------------
8.264⇒8.364
Remember round up if the number is greater than or equal to 5 and round down if the number is less than 5.
--------------------------------------------------------------------------------------------------------------
now that we have rounded everything. It is time to estimate 16.82-8.364.
16.82 is close to 16.80 and 8.364 is close to 8.40.
16.80-8.40=8.40
Five hats and three scarves cost $99. While three hats and five scarves cost
$85. Find the cost of one hat.
Answer:
x=15, y=8
15 hats and 8 scarves
Step-by-step explanation:
hats=x
scarves=y
5x+3y=99
3x+5y=85
HELPPPPPP PLEASEEEEEEEEEE
Answer:
Step-by-step explanation:
How did my teacher get 70?- like I don’t understand
Answer:
Each triangle has angles and all of those angles add up to 180 degrees total. since both of those angles at the bottom are equal then their angles would each be 70.
Answer:
70
Step-by-step explanation:
180°-40°=140°
140°/2
=70
Use the disributive property to finish the expression that is equivalent to 12 + 4x.
12 + 4x = ___ (3 + x)
Answer:
12 + 4x = 4(3 + x)
Step-by-step explanation:
Think about what you need to multiply (3 + x) by to get 12 + 4x.
$3 is what percent of $6
Answer:
50 percent
1/2 of 6 is 3
Answer:
50 percent
Step-by-step explanation:
help pls at least some °ω°
Answer:
12.5
14.4
37.1
57.6
45.9
71.1
77.4
70.4
60
59.4
47.6
34.2
48.3
67.5
75.6
list all the factors of 10
Answer: factors of 10 are 1, 2, 5, and 10.
Step-by-step explanation: You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10.
Answer:
1,2,5,10
Step-by-step explanation:
1 x 10 = 10
2 x 5 = 10
10 x 1 = 10
If
y
=
9
, evaluate the following expression:
4
y
+
10
Answer: 46
Step-by-step explanation:
4(9)+10
36+10
46
Answer:
46
Step-by-step explanation:
4y + 10
4(9) + 10
36 + 10
46
A windshield wiper is 18 inches long and its blade is 12 inches long. It sweeps through an angle of 130 degrees. What is the total area wiped by the windshield wiper?
Answer:
[tex]A=65 inches^2[/tex]
Step-by-step explanation:
From the question we are told that:
Length of wiper [tex]x=18[/tex]
Length of blade [tex]y=12[/tex]
Angle[tex]\theta=130\textdegree[/tex]
Generally the equation for Cover Area windshield wiper A_w is mathematically given by
[tex]A_w=x^2*\frac{\theta}{360}[/tex]
[tex]A_w=18^2*\frac{130}{360}[/tex]
[tex]A_w=117 \textdegree[/tex]
Generally the equation for Cover Area windshield blade A_b is mathematically given by
[tex]A_b=y^2*\frac{\theta}{360}[/tex]
[tex]A_b=12^2*\frac{130}{360}[/tex]
[tex]A_b=52 \textdegree[/tex]
Therefore total Area wiped by windshield wiper A
[tex]A=A_w-A_b[/tex]
[tex]A=65 inches^2[/tex]
A student bought 5 coats at $86 each and paid for them with only $20 bills. How many bills did it take ?
It took _ $20 bills.
Consider the figure below.
Line segment AD, Line segment BE, and line segment CF are medians concurrent at G.
Which of the following statements is true?
A FG=1/2 GC
B ED=2/3 AB
C BG=1/2 BE
D GD=2/3 AD
Answer:
A: FG = ½GC
Step-by-step explanation:
Since AD, BC and CD are medians concurrent at G, it means G is the centroid.
Now, when median passes through the centroid, the centroid divides the median in the ratio of 2:1.
Also,that the median touches the side of the triangle at their midpoints.
Thus,by inspection, we can say that;
GD = ⅓AD
GC/FG = 2/1
Thus, GC = 2FG and FG = ½GC
BG = ⅔BE
Tbus,looking at the options given and what we have gotten in proof, we can say only FG = ½GC is correct.
Find the measure of the arc indicated.
C
33°
B
?
D
124
Answer:
C
33
Step-by-step explanation:
Find the value of Sin^-1(-√3/2)
Answer:
The exact value of sin-1(√32) sin -1 ( 3 2 ) is π3 .
Step-by-step explanation:
What is -0.032 + 6.42 ?
Answer:
6.388
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
6.38800
Step-by-step explanation:
Find the volume of the rectangular prism.
11 cm
11 cm
11 cm
Volume
[?] cm
cm
Answer: 1331
Step-by-step explanation: v=lwh
The volume would be 1,331 cm cubed. I hope this helps, have a good day!
24 in
10 in
What is the length of the hypotenuse?
C=
inches
Answer: 26
Step-by-step explanation: