Answer:
Proved;
See Explanation
Step-by-step explanation:
Given:
Shape: Parallelogram
Sides: b and c
Required:
Show that P = 2b + 2c
Let P represents the perimeter of the parallelogram.
There are 4 sides in a parallelogram where 2 sides are opposite and parallel
Given that two of the side of the parallelogram is b and c; this implies that the next two sides are also b and c.
This means that the sides of the parallogram are b,c,b,c
The perimeter of any shape is calculated by adding the lengths of the shape;
This means that
[tex]P = b + c + b + c[/tex]
Collect like terms
[tex]P = b + b + c + c[/tex]
[tex]P = 2b + 2c[/tex] ------ Proved
Nina and Jo both ran an 8 km race. Nina took 45 minutes to run the whole race. Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km. If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
Answer:
6.0869 mph
Step-by-step explanation:
Nina:
8 km: 45 mins
Jo:
8 km: 49 mins
Speed = distance / time
Speed= 8 / 49
PLSS HELP !!!A data set has a standard deviation of 2.5. The element 16 is an element of a data set, with a z-score of 2.4. What is the mean of the data set?
Answer:
10Step-by-step explanation:
Given the following parameters
standard deviation σ = 2.5
z-score Z = 2.4
observed value x = 16
Mean of the dataset μ = ?
Using the formula for calculating the z-score as shown to calculate the mean
[tex]Z = \frac{x - \mu}{\sigma}[/tex]
On substituting the values;
[tex]2.4 = \frac{16-\mu}{2.5} \\2.4 * 2.5 = 16-\mu\\6 = 16-\mu\\\mu = 16-6\\\mu = 10[/tex]
The mean of the dataset is 10
If r = 6 units and h = 13 units , what is the volume of the cylinder shown above? Use 3.14 for pi
Answer:
V= 468 * 3.14 = 1.469.52
Step-by-step explanation:
Volume of a cylinder = π r^2 h
V= 3.14 *6^2 * 13
V= 1469.52 cubic unit
The ratios 3:9, 4:12, 5:15, and 6:18 are a pattern of equivalent ratios in the table below. A multiplication table. In the row labeled 1, the numbers 3, 4, 5, and 6 are highlighted. In the row labeled 3, the numbers 9, 12, 15, and 18 are highlighted. Which is another ratio in this pattern?
Answer:
7 and 21
Step-by-step explanation:
the ratios are following a 1:3 pattern. basically, whichever number is in the first row, the second row will have it times 3. So, if you chose the number 7, 7x3=21, so 7 & 21 are other ratios in the pattern
What is the result when the number 15 is decreased by 6%? Round your answer to the nearest tenth.
Answer:
106.67%
Step-by-step explanation:
Answer:
14.1
Step-by-step explanation:
The sum of two consecutive numbers is 131. What are the two numbers? A. 64 and 65 B. 64 and 67 C. 65 and 66 D. 130 and 131
Subtract 1:
131-1 =130
Divide by 2:
130/2 = 65
First number is 65
For the second number take the first number and add the 1 that you originally subtracted:
Second number : 65 + 1 = 66
The numbers are 65 + 66 = 131
Find the surface area.
Answer:
A≈896.81
Step-by-step explanation:
This is an approximate answer. Use the formula SA = pi, radius, slant height + pi, radius squared. Plug it in in PEMDAS order.
P.S. SOmeone please tell me if this is wrong I will fix it. Thanks!
ABCD is a quadrilateral. Three of the angles of ABCD measure 100°, 87, and 106°, respectively. Find the measure of the
missing angle
A. 67
B. 74°
C. 80
D. 870
Answer:
A
Step-by-step explanation:
The angles in a quadrilateral add up to 360 degrees.
100 + 87 + 106= 293
360 - 293 = 67
The missing angle is 67°. (A)
EVERY quadrilateral has four inside angles that add up to 360°. It doesn't matter whether the quadrilateral is the size of a strep bacterium or the size of a galaxy. The inside angles always add up to 360°. It's a quadrilateral thing.
In this question, the first three angles add up to (100°+87°+106°) = 293°.
From there, it takes 67° more to get to 360°, so that's what the fourth angle has to be.
I don’t need you to explain just answer.
Answer:
domain= {-4,2,3,4}
range = {-4,0,2,3}
Which is the graph of fx=2(3)^x
Answer:
The graph is attached below. Just google it "plot(2(3)^x)"
Simplify the following expression.
(9x+ 2) + 5x
Answer:
14x+2
Step-by-step explanation:
9x+5x+2
14x+2
What is the volume of a triangular prism that is 6 inches high with a base area of 12 square inches? *Remember: Volume is the area of the base multiplied by the height.
A. 72 in3
B. 60 in3
C. 18 in3
D. 62 in3
Answer:
A. 72
Step-by-step explanation:
Since the volume of a figure is the area of the base multiplied by the height, the volume of this one is 12*6=72 cubic inches, or answer choice A. Hope this helps!
Answer:
A would be the right answer :)
Step-by-step explanation:
The graph below shows the average daily temperatures on January 1 from 1900 to 1934 for city A. A graph shows the average daily temperature on the x-axis, and number of years on the y-axis, from 1 to 4. The average temperature was 18 for 2 years; 19 for 3 years; 20 for 2 years; 21 for 3 years; 22 for 2 years; 23 for 4 years; 24 for 3 years; 25 for 3 years; 26 for 5 years; 27 for 2 years; 28 for 1 year; 29 for 2 years; 30 for 2 years; 31 for 1 year. The mean of the temperatures in the chart is 24° with a standard deviation of 4°. Which temperature is within one standard deviation of the mean? 18° 19° 22° 30°
The temperature which is within one standard deviation of the mean is 22 degree Celsius of the graph of average daily temperatures.
What is the mean and standard deviation of data?The mean of the data is the average value of the given data.The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
The graph below in the attached image shows the average daily temperatures on January 1 from 1900 to 1934 for city A.
A graph shows the average daily temperature on the x-axis, and number of years on the y-axis, from 1 to 4.
Interval within 1 standard deviation of the mean when the mean is μ and standard deviation σ can be given as,
[tex][\mu-\sigma, \mu+\sigma][/tex]
The mean of the temperatures in the chart is 24°, with a standard deviation of 4°. Put these values,
[tex][\mu-\sigma, \mu+\sigma]\\\ [24-4, 24+4]\\\ [20, 28][/tex]
The temperatures in the options given will be correct, which lies in the above range.
Thus, the temperature which is within one standard deviation of the mean is 22 degree Celsius of the graph of average daily temperatures.
Learn more about the mean here;
https://brainly.com/question/14532771
Answer:
C
Step-by-step explanation:
Took the quiz got a 100%
To change a decimal to a fraction we route write the digit to the left or to the right of the decimal point over the appropriate power of 10
Answer:
The digit goes to the right of the decimal point
Step-by-step explanation:
If you had [tex]\frac{1}{10}[/tex], you would convert that to 0.1, which is equivalent to the fraction form. The one goes on the right of the decimal point.
Paul worked for a video streaming company that has two monthly plans to choose from:
Plan 1: A flat rate of $7 per month plus $2.50 per video viewed
Plan 2: $4 per video viewed
Which plan would be the cheapest for Paul if he viewed 5 videos a month? Explain
Answer: Plan A
Step-by-step explanation:
7 + (2.50x5) = ?
7 + 12.50 = 19.50 therefore plan A = $19.50
Plan B = 5x4 = 20 therefore plan B = $20.00
Can someone help please??
Answer:
BC= 5.87 (nearest hundredth)
Step-by-step explanation:
Please see attached picture for full solution.
Can someone please tell me what the slope-intercept equation for this graph is!!!! Braniest and Extra points will be given!!!
Answer:
see below
Step-by-step explanation:
The slope-intercept form of a line is y = mx + b where m and b are the slope and y-intercept respectively. From the graph we see that b = 11 (because it is halfway between 10 and 12) and m = 3 (see 2 marked points on the graph). Therefore our answer is y = 3x + 11.
A line perpendicular to y= 1/4x + 3 passes through the point (0, 6). Which other point lies on the line? Options: A. (4, -2) B. (3, -6) C. (0, -6) D. (-2, 2)
Answer:
B. (3, -6)
Step-by-step explanation:
Given line
y= 1/4x + 3
given line is in form of y = mx + c
where m is slope of line and c is y intercept
thus, in line y= 1/4x + 3 m is 1/4 is slope
we know product of slope of two perpendicular line is -1
m1 * m2 = -1
let the line perpendicular to y= 1/4x + 3 be
y = mx + c
thus
m * 1/4 = -1
m = -4
Thus, in y = mx + c , m is -4
updated equation until now by putting value of m as -4
y = -4x + c
this, line passes through point (0,6)
putting x as 0 and y as 6 in y = -4x + c
we have
6 = -4*0 + c
=> c = 6
Thus, equation of perpendicular line is
y = -4x + 6
_______________________________________________
we have to find which point from the option lies on y = -4x + 6
lets plug in value of x from given points and see if value of y calculated is as given in option . if the value is different then point does not lie on perpendicular line
(4, -2)
y = -4*4 + 6
y = -16 + 6 = -10
-10 is not equal to -2 as given in option, thus point (4,-2 ) does not lie on
y = -4x + 6
(3,-6)
y = -4*3 + 6
y = -12 + 6 = -6
-6 is equal to -6 as given in option, thus point (3,-6 ) does lie on
y = -4x + 6
(0, -6)
y = -4*0 + 6
y = 0 + 6 = 6
6 is not equal to -6 as given in option, thus point (0,-6 ) does not lie on
y = -4x + 6
(-2,2)
y = -4*-2 + 6
y = 8 + 6 = 14
14 is not equal to 2 as given in option, thus point (-2,2 ) does not lie on
y = -4x + 6
Thus, option B. (3, -6) is the correct choice.
How is completing the square for an expression different than completing the square to solve an equation?
Answer:
Completing includes a change for the extra term has to be subtracted
Where completing the square to an equation will always result in finding what equals zero.
Sofia is knitting a scarf. For every 45 pieces of blue yarn she uses, she uses 18 pieces of red yard. What equation can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Sofia uses when knitting a scarf?
Answer:
[tex]5b=2r[/tex]
Step-by-step explanation:
Given: For every 45 pieces of blue yarn Sofia uses, she uses 18 pieces of red yarn
To find: equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r
Solution:
As for every 45 pieces of blue yarn Sofia uses, she uses 18 pieces of red yarn,
number of pieces of blue yarn / number of pieces of red yarn = [tex]\frac{18}{45}=\frac{2}{5}[/tex]
[tex]\frac{b}{r}=\frac{2}{5}\\ 5b=2r[/tex]
Therefore,
equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r is [tex]5b=2r[/tex]
Mya says when 10 is added to a number, the hundreds digit stays the same. Is Mya's statement always true?
Answer:
no
Step-by-step explanation:
When you add 1 90+10 it equals 2 00. The hundreds digit, underlined, changed.
Answer:
the answer is no
Step-by-step explanation:
500+100=600
Which equation represents the graphed function?
HELP ASAP
Answer:
The answer is A.
Step-by-step explanation:
Since the graph is a downward slope, we want to make the 'x' variable a negative. If we pretend that the graph goes up, then it goes up once, being the denominator, and right three times, before being the numerator. This gives you 3/1, which simplifies to 3. The Y intercept where the graph crosses the Y axis is 0,3, which since 3 is the Y variable, that's what we're going with. Henceforth, A is your answer.
evaluate (m/n)(x) for x=-3
Answer:
(-3m)/n
Step-by-step explanation:
(m/n)(x)
For x = -3,
(m/n)(-3) =
-3(m/n) =
(-3m)/n
Our answer is fully simplified
Answer:
your answer is 1
Step-by-step explanation:
answer on edgen uity
If the circumference of a circle is below 72 what is the length of AB
Answer: 12
Step-by-step explanation:
The circle is 360 degrees in total
360/6 = 60
72/6 = 12
Which of the following is a Pythagorean triple?
A. (5, 12, 13)
B. (1, 1, 2)
C. (3, 4, 6)
D. (5, 8, 10)
Answer:
A
Step-by-step explanation:
Perhaps you know of the {3, 4 ,5} Pythagorean triple.
Pythagoras stated a² + b² = c²
so checking for A:
a² + b² = c²
5² + 12²
25 + 144 = 169 which is 13²
Only answer A. (5, 12, 13) is a Pythagorean triple.
The others are not.
The correct answer for Pythagorean triple are (5,12,13). The correct option is A.
A Pythagorean triple is a set three positive integers (a, b, c) that validates the Pythagorean theorem, According to which in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
The Pythagorean theorem can be written as:
[tex]a^{2} + b^{2} = c^{2}[/tex]
Check each option:
A. (5, 12, 13)
=[tex]5^{2} +12^{2} \\[/tex]
= [tex]25 + 144[/tex]
= 169
[tex]= 13^{2} \\= 169[/tex]
Since both sides are equal (169 = 169), this is a Pythagorean triple.
B. (1, 1, 2)
[tex]1^{2} +1^{2} \\= 1+1\\= 2[/tex]
[tex]= 2^{2} \\= 4[/tex]
The two sides are not equal (2 ≠ 4), so this is not a Pythagorean triple.
C. (3, 4, 6)
[tex]3^{2} +4^{2} \\= 9 + 16\\= 25[/tex]
[tex]=6^{2}[/tex]
[tex]= 36[/tex]
The two sides are not equal (25 ≠ 36), so this is not a Pythagorean triple.
D. (5, 8, 10)
[tex]= 5^{2} +8^{2}\\= 25 + 64\\= 89[/tex]
[tex]= 10^{2} \\= 100[/tex]
The two sides are not equal (89 ≠ 100), so this is not a Pythagorean triple.
The correct answer is (5,12,13). The correct option is A.
Learn more about Pythagorean triple here:
https://brainly.com/question/31224227
#SPJ6
Determine which of the following relations is a function.
A.
X Y
-10 10
-5 5
0 0
5 -5
10 -10
B.
X Y
-3 2
-1 1
0 2
0 1
3 4
C.
X Y
-8 -4
-2 -2
1 3
2 4
4 6
D.
X Y
0 2
1 4
2 2
2 6
5 7
Answer:
A. X Y
-10 10
-5 5
0 0
5 -5
10 -10
Step-by-step explanation:
Because it is a relationship involving more than one variable where each input is related to one output. If graphed the line segment would only touch one point at a single time.
Answer: It’s A and C
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPPPP!!!!!!!
Without graphing, determine whether the equation has a graph that is symmetric with
respect to the x-axis, the y-axis, the origin, or none of these.
y=x2 +8
Choose the correct answer below.
X-axis
y-axis
origin
none of these
Answer:
girl
Step-by-step explanation:
What in the world 3000%
What number is the same percent of 36 as 5 is of 24?
If possible please show work:))
Answer:
7.4999999988
Step-by-step explanation:
5/24=0.2083333333
5 is 20.8% of 24
36*0.2083333333=7.4999999988
Answer:
7.5
Step-by-step explanation:
x/36=5/24
x= 36*5/24
x= 7.5
What are angles 3 and 4 called in the diagram below ?
A. vertical angles
B. Alternate exterior angles
C. Alternate interior angles
D. Corresponding Angles
Please help me with this
Alternate interior angles.
Answer:
Alternate Interior Angles
