Answer:
The parking lot does not form a rectangle.
Step-by-step explanation:
Given: One pair of opposite sides of parking lot are 100 yards long. The other two sides are 60 yards long.
The distance from one end of the longer side to the opposite end of the shorter side is 120 yards.
To find: If the distances given form a right triangle?
Also, to find the hypotenuse and the numbers which represent the two sides.
Solution:
In a triangle, if the square of the length of the longest side is equal to the sum of the squares of the other two sides, then the triangle is said to be a right angled triangle.
[tex](60)^2+(100)^2=3600+10000=13600\\(120)^2=14400\\\therefore (60)^2+(100)^2\neq (120)^2[/tex]
So, the triangle is not a right angled triangle.
So, none of the angles of the parking lot forming a quadrilateral is equal to [tex]90^{\circ}[/tex].
Hence, the parking lot is not a rectangle although the opposite sides are equal.
(A quadrilateral in which opposite sides are equal such each angle is [tex]90^{\circ}[/tex] is a rectangle )
The distances given do not form a right triangle.
Can someone help me on these two questions?
Answer:
in figure 1 the value of X is 20° and figure 2 the value of X is 19° and y is 123°
Given that: 2√2−√5 / 3√2+2√5 = =
Answer:
7√10/2 - 11
Step-by-step explanation:
(2√2−√5) / (3√2+2√5)=
(3√2-2√5)(2√2−√5)/(3√2+2√5)(3√2+-2√5)=
(12+10-3√10-4√10)/(18-20)=
(22-7√10)/-2= 7√10/2 - 11
Lisa wears 10 rings in her hand. Each ring weights 250 grams. Find the
weight of all the rings in kilogram.
Answer:
2.5 kilograms
Step-by-step explanation:
10 rings times each weight ring(250)=2500
2500 grams to kilograms is 2.5
Find m∠YOZ in the figure if m∠XOZ = 86°.
Question 1 options:
A)
65°
B)
7°
C)
42°
D)
43°
One part of the angle is 3x, and the other part is 6x+23, so putting them together gets 9x+23=86. Subtract the 23 and we get 9x=63. We know that 9•7=63, so x=7, and now we can solve the angle. 6x=42, and 42+23=65, so the answer is:
A) 65°Answer:
A. 65
Step-by-step explanation:
First, you would need to find x.
You would combine both equations it would become, 6x+23+3x=86.
Then, combine like terms, 9x+23=86.
And subtract 23 from both sides, 9x = 63.
Lastly, divide both sides by 9.
x = 7
Now with the equation 6x+23, you replace x with 7, 6(7)+23.
Then multiply 42+23, and add 42+23= 65.
The surface area of a cube is 24 square inches.
What is the side length of the cube?
Answer:
2 inches
Step-by-step explanation:
A cube has 6 faces. Therefore, each face is 4 square inches. (24/6) The side length of the square (face of the cube) is the square root of the area. The square root of 4 is 2. There is your answer :)
Mind helping me out a bit? (Which of the rectangular boxes shown has the greater volume?) (Will give Brainliest if you are the first person, and IF YOUR CORRECT) ^.^
Answer:
Both are equal in volume
The math club needs to raise more than $552.50 for a trip to the state competition. The club
has raised 12% of the funds. Which inequality shows how much money each of the 7 club
members needs to raise if each raises the same amount?
A
m< $69.45
В
m> $69.45
C
m<$72.35
D
m> $72.35
Answer:
A or B
Step-by-step explanation:
Leaning more towards B- u want the club to earn more not less
The correct inequality is m> $69.45
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
The math club needs to raise more than $552.50 for a trip to the state competition.
The club has raised 12% of the funds.
To represent the inequality we have to perform the following function
=552.50 x 0.12
=66.3
The amount remained= 552.50 - 66.3 = $486.2
So, for the 7 members = 486.2/7
= $69.45
Hence, the inequality is m>$69.45
Learn more about inequality here:
https://brainly.com/question/28823603
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The table represents a liner function. What is the slope of the function?
O-3
O-2
O 3
O 4
Answer:
The slope is 3.
Step-by-step explanation:
Let's use the slope formula to calculate the slope of this function. Remember, slope equals rise over run, or the difference between y coordinates divided by the difference between x coordinates of 2 points on the graph.
Let's use the last 2 points in the table: (1, 7) and (2, 10)
[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
= [tex]\frac{10 - 7}{2 - 1}[/tex]
= [tex]\frac{3}{1}[/tex]
The slope of this function is 3!
Hope this helps :) Feel free to ask me any questions!
Select the correct solution in each column of the table.
Solve the following equation.
18
12 + 6s
Examine the given table, and select the accurate number of each type of solution, as well as any real solutions that exist.
Number of
Real Solutions
Number of
Extraneous
Solutions
Real Solutions
0
0
x = 0
1
1
x= 3
2
x = 0, x= 3
N
Answer:
Number of Real Solutions = 1
Number of Extraneous Solutions = 1
Real Solutions = (x = 3)
9) Find the midpoint of the line segment with the given endpoints: (6,3), (-2,7)
A. (-10, 11)
B. (2,5)
C. (4,-2)
D. (-1,0)
Answer:
B. (2,5)
Step-by-step explanation:
Given
Points: (6,3), (-2,7)
Required
Midpoint
Midpoint is calculated as follows:
[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Where
[tex](x_1,y_1) = (6,3)[/tex]
[tex](x_2,y_2) = (-2,7)[/tex]
So,
[tex]x_1 = 6; y_1 = 3; x_2 = -2; y_2 = 7[/tex]
By substituting these values in the given formula
[tex](x,y) = (\frac{6-2}{2},\frac{3+7}{2})[/tex]
[tex](x,y) = (\frac{4}{2},\frac{10}{2})[/tex]
[tex](x,y) = (2,5)[/tex]
Hence, the midpoint of the line segment is (2,5)
pls help on this question
*image
Answer:
216 2/3
Step-by-step explanation:
yoys : frents
6 : 13
We have 100 yoys
100/6 =50/3
Multiply by 50/3
yoys : frents
6 *50/3 : 13*50/3
100 : 650/3
As a mixed number
650/3 frents
216 2/3
Expand the binomial using Pascal's triangle
(3x+5)
Answer:
Step-by-step explanation:
0. 1
1. 1 1
2. 1 2 1
3. 1 3 3 1
4. 1 4 6 4 1
5. 1 5 10 10 5 1
6. 1 6 15 20 15 6 1
7. 1 7 21 35 35 21 7 1
8. 1 8 28 56 70 56 28 8 1
what number is being factored in this factor tree?
Answer:
164
Step-by-step explanation:
82 multiplied by 2
Answer:
164
Step-by-step explanation:
2 *82=164
One angle is
angle is 65 degrees, the other is
90 degrees, what is my missing angle?
What is my first and last name?
Answer:
your missing angle is
90+65 = 155
180-155 = 25
so your missing angle is 25 degrees
Solve for y
-1 + y/8< 15
А. У<7/4
B. y < 2
C. y < 112
D. y<128
Answer:
D. y < 128
Step-by-step explanation:
-1 + y/8 < 15
y/8 < 15 + 1
y/8 < 16
y < 16 × 8
y < 128
Answer:
Y<128
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
1/8y-1<15
Step 2: Add 1 to both sides.
1/8y-1+1<15+1
1/8y=16
Step 3: Multiply both sides by 8.
(8)*(1/8y)<(8)*(16)
Y<128
Which equation is a function of x?
A. x = 5
B. x = y squared + 9
C. x squared = y
D. x squared = y squared + 16
Answer:
C: X^2= Y
I got it right on Edge
Answer:
Pretty sure its x2 =y
Step-by-step explanation:
Change the mixed number into an improper faction 6 5/12
Answer:
77/12
Step-by-step explanation:
Step 1
Multiply the denominator by the whole number
12 × 6 = 72
Step 2
Add the answer from Step 1 to the numerator
72 + 5 = 77
Step 3
Write answer from Step 2 over the denominator
77/12
=12×6+512= 77/12
Answer:
77/12
Step-by-step explanation:
You multiply the whole number by the station's denominator. You will get 72.
Then you add the 72/12 and 5/12 together.
You will get 77/12.
I need help on my algebra. :)
Answer:
Option B
Step-by-step explanation:
Consider the steps below;
[tex]3x - 4y = 25,\\3x + 2y = 1\\\\3x - 4y = 25,\\+ ( - 3x - 2y = - 1 )\\\\- 6y = 24,\\y = - 4\\\\3x - 4y = 25,\\3x - 4 * ( - 4 ) = 25,\\3x + 16 = 25,\\3x = 9,\\x = 3\\\\Solution, x = 3, y = - 4[/tex]
To solve this system of equations, I applied process of elimination, which I thought was most convenient. Multiplying the bottom equation by - 1, I added both equations to cancel out the x's and solved for the value of y. Substituting this value of y into the top equation, I solved for the value of x;
Solution ⇒ Option B
GUYS PLS I NEED HELP
Answer:
z = 75°
Step-by-step explanation:
You can see that CGE and FGD are vertical angles.
FGD = 15°
Now you have a 90° angle, a 15° angle, and a z° angle. They add up to 180°
105° + z° = 180°
z = 75°
Answer:
75 degrees...
Step-by-step explanation:
if you look at the diagram, the angle with 15 degrees is the same as the one opposite!
So we know that it is on a right angled corner, so all the angles here should add up to 90 degrees!
Now we do 90 degrees - 15 degrees
This gives us 75 degrees!
So x = 75 degrees!
HOPE THIS HELPS!!
HELP!!!
Solve for x given that CE = 36.
Show your work
Answer:
x=7
Step-by-step explanation:
CE = 36
CE = 9+(3x+6) = 9+6+3x = 15+3x
36= 15+3x
36-15 = 15-15+3x (removing 15 from left side also means removing 15 from right side)
21 = 3x
x= 21/3 = 7
Answer:
x=7
Step-by-step explanation:
First, I wrote down the equation.
3x+6=36-9
Then, I simplified it.
3x+6=27
Then, I moved the six from the right to the left.
3x=21
After that, I divided both sides by 3.
x=7
Yay! You got your answer!
Can someone help me out, I'm having trouble on these two questions.
Answer:
Step-by-step explanation:
7,A=9*6sin30°
=54*0.5
A= 27
8,A=6*10sin60°
A= 60*0.86
A=52....... approximately
9, A=1/2bh
A=0.5*x*xroot 3
A=root3/2 x^2
You can find x using trigonometric values
Solve for n
n+1 = 4(n-8)
0 n = 1
On = 8
0 n = 11
0 n = 16
Which expression represents the greatest common factor (GCF) of 105 and 126? A. 3 x 7 B. 2 x 5 x 7 C. 2 x 3 x 7 D. 5 x 7
(HELP AS FAST AS YOU CAN PLEASE!!!!!)
Answer:
Step-by-step explanation:
factors of 105:
1, 3, 5, 7, 15, 21, 35, 105
factors of 126:
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCF: 3*7 or 21
The GCF ( 105, 126) = 3 *7 =21.
What is GCF?The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
Given:
105 = 3 * 5 * 7
126 = 2 * 3* 3 *7
So, GCF ( 105, 126) = 3 *7 =21
Learn more about GCF here:
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Could you plz help me with this one question
Answer:
90 degrees.
Step-by-step explanation:
Add all of the degrees together 270 plus 90 its makes a 360 degree.
does anyone know the answer to this ?
Answer:
the horse walked 20 feet away i think
Step-by-step explanation:
i say this because it shows an arrow from a horse to the 20 square feet
Answer:
Step-by-step explanation:
it is a three quarter circle with radius=7.1 ft
reqd. area=3/4 πr²
=3/4×π×7.1²
≈3/4×3.14×7.1²
≈118.72 ft²
pls help show ALL work
Answer:
B. 5.81
Step-by-step explanation:
So to get this answer, you'd first find how much square inches are on the cheese. We know its 9/10 of the pizza and the pizza is 215 square inches. To find out what is 9/10 of the pizza you'd multiply 215 by 9 then divide by 10. That'd leave you with 193.5 then you multiply that by the cost $0.03 then get 5.805 which rounds up to 5.81.
Please help!!! WILL MARK BRAINLIEST ANSWER!!! A medical researcher designs a study that will investigate the effects of a
new drug on lowering patient's cholesterol level. The researcher randomly
selects participants for two groups. One group is given the new drug and the other group is given a placebo. Any person, within driving distance of the hospital, is allowed to participate and will be given a monetary compensation. Each sample consists of 5 patients. Select all weaknesses in the design.
b. more groups should have been
Answer:
C AND D
Step-by-step explanation:
Can you help me out on this question?
Answer:
4. x= 18
Step-by-step explanation:
We solve the problem like this:
Since 3 is proportional to 6 and 9 is proportional to x, we set up a proportion.
3/9 = 6/x
We then use cross-multiplication to solve for x.
If the graph of the polynomial intersects the x-axis at two points, then the
polynomial has how many
zeros.
Answer:
Two zeroes
Step-by-step explanation:
A zero is where the graph meets the x-axis. If it hits the axis twice, there are two zeroes.
solve this system of linear equations, separate the x- and y-values with a comma. -4x=-60-19y -7x=-48-19y
Answer:
The solution is at (-4,-4).
Step-by-step explanation:
(-4x=-60-19y)-1 Multiply by -1
4x = 60 + 19y
-7x = -48 - 19y Add both equations together
-3x = 12 Divide both sides by -3
x = -4
Plug this into the first equation to find the value of y
-4(-4) = -60 - 19y Multiply
16 = -60 - 19y
+60 +60 Add 60 to both sides
76 = -19y Divide both sides by -19
y = -4
