Answer:
7
Step-by-step explanation:
LB of d = 186.5
UB of d = 187.5
LB of p = 27.5
UB of p = 28.5
186.5/28.5 = 6.54
187.5/27.5 = 8.81
The answer is 7 since both bounds round up to 7.
The value of c for the David journey is 7.
Calculation of the value of c:Since David drove a distance (d) of 187 km
So here the 3 significant figures should be
LB of d = 186.5
UB of d = 187.5
And,
LB of p = 27.5
UB of p = 28.5
Now the average should be
[tex]186.5\div 28.5[/tex] = 6.54
And,
[tex]187.5\div 27.5[/tex] = 8.81
So, The value of c for the David journey is 7.
Learn more about distance here: https://brainly.com/question/23561100
If A(4 -6) B(3 -2) and C (5 2) are the vertices of a triangle ABC fine the length of the median AD from A to BC. Also verify that area of triangle ABD = Area of triangle ACD
Answer:
a) The median AD from A to BC has a length of 6.
b) Areas of triangles ABD and ACD are the same.
Step-by-step explanation:
a) A median is a line that begin in a vertix and end at a midpoint of a side opposite to vertix. As first step the location of the point is determined:
[tex]D (x,y) = \left(\frac{x_{B}+x_{C}}{2},\frac{y_{B}+y_{C}}{2} \right)[/tex]
[tex]D(x,y) = \left(\frac{3 + 5}{2},\frac{-2 + 2}{2} \right)[/tex]
[tex]D(x,y) = (4,0)[/tex]
The length of the median AD is calculated by the Pythagorean Theorem:
[tex]AD = \sqrt{(x_{D}-x_{A})^{2}+ (y_{D}-y_{A})^{2}}[/tex]
[tex]AD = \sqrt{(4-4)^{2}+[0-(-6)]^{2}}[/tex]
[tex]AD = 6[/tex]
The median AD from A to BC has a length of 6.
b) In order to compare both areas, all lengths must be found with the help of Pythagorean Theorem:
[tex]AB = \sqrt{(x_{B}-x_{A})^{2}+ (y_{B}-y_{A})^{2}}[/tex]
[tex]AB = \sqrt{(3-4)^{2}+[-2-(-6)]^{2}}[/tex]
[tex]AB \approx 4.123[/tex]
[tex]AC = \sqrt{(x_{C}-x_{A})^{2}+ (y_{C}-y_{A})^{2}}[/tex]
[tex]AC = \sqrt{(5-4)^{2}+[2-(-6)]^{2}}[/tex]
[tex]AC \approx 4.123[/tex]
[tex]BC = \sqrt{(x_{C}-x_{B})^{2}+ (y_{C}-y_{B})^{2}}[/tex]
[tex]BC = \sqrt{(5-3)^{2}+[2-(-2)]^{2}}[/tex]
[tex]BC \approx 4.472[/tex]
[tex]BD = CD = \frac{1}{2}\cdot BC[/tex] (by the definition of median)
[tex]BD = CD = \frac{1}{2} \cdot (4.472)[/tex]
[tex]BD = CD = 2.236[/tex]
[tex]AD = 6[/tex]
The area of any triangle can be calculated in terms of their side length. Now, equations to determine the areas of triangles ABD and ACD are described below:
[tex]A_{ABD} = \sqrt{s_{ABD}\cdot (s_{ABD}-AB)\cdot (s_{ABD}-BD)\cdot (s_{ABD}-AD)}[/tex], where [tex]s_{ABD} = \frac{AB+BD+AD}{2}[/tex]
[tex]A_{ACD} = \sqrt{s_{ACD}\cdot (s_{ACD}-AC)\cdot (s_{ACD}-CD)\cdot (s_{ACD}-AD)}[/tex], where [tex]s_{ACD} = \frac{AC+CD+AD}{2}[/tex]
Finally,
[tex]s_{ABD} = \frac{4.123+2.236+6}{2}[/tex]
[tex]s_{ABD} = 6.180[/tex]
[tex]A_{ABD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}[/tex]
[tex]A_{ABD} \approx 3.004[/tex]
[tex]s_{ACD} = \frac{4.123+2.236+6}{2}[/tex]
[tex]s_{ACD} = 6.180[/tex]
[tex]A_{ACD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}[/tex]
[tex]A_{ACD} \approx 3.004[/tex]
Therefore, areas of triangles ABD and ACD are the same.
Jorge and Jillian have cell phones with different service providers. Jorge pays $50 a text month and $1 per text message sent. Jillian pays $72 a month and $0.12 per text message sent. How many texts would each of them have to send in order for their bill to be the same amount at the end of the month?
Answer:
When they send 25 texts each, their bills will be equal
Step-by-step explanation:
Let the number of text messages that makes their bill equal be x
Jorge will have a bill of = 50 + x(1) = 50 + x
Jillian will have a bill of = 72 + 0.12(x) = 72 + 0.12x
Since their bills will now be equal, we equate both
50 + x = 72 + 0.12x
72-50 = x-0.12x
22 = 0.88x
x = 22/0.88
x = 25 texts
What is the image of (-1, 1) after a dilation of 2?
O (1.3)
O (2.2)
O (-22)
Answer:
(-2, 2)
Step-by-step explanation:
When an image is dilated by a factor of 2, we can simply multiply the x and y coordinates by 2.
Therefore, the coordinates will become (-2, 2).
No Solutions
2x + 9 + 3x + 1 = _x + _
Answer:5x+10
Step-by-step explanation:
2x+3x+9+1=5x+10
help please writer the answer as letters
Answer:
B, D, D
Step-by-step explanation:
the correct answer for A is choice B. answer choice C is correct for question B.
Step-by-step explanation:
answer choice D is correct for C.
Use the inverse trigonometric keys on a calc to find the measure of Angle A.
Step-by-step explanation:
θ = [tex]cos^{-1}[/tex] 17 m/27 m = 50.9°
Which of the following values are in the range of function graph below? check all that apply
Answer:
B: -2
C: 0
D: -1
Step-by-step explanation:
We are looking at only the range in this problem. That means we are looking for y-values that are associated with this graph. Since the graph only includes negative values, you can rule out A, E, and F because they are positive. The answer choices you have left are the correct choices.
Answer:
-1
-2
-5
0
Step-by-step explanation:
z is equal to ____ units. Side RS measures _____ units long
Answer:
the answer is
z is equal to 12 units. Side RS measures 9 units longs
Step-by-step explanation:
Monday: 10 apples and 5 bananas cost £4.20 Friday: 8 apples and 10 bananas cost £5.40 Find the cost of each - with an explanation please and thank you so much
Answer:
An apple costs £0.25
A banana costs £0.34
Step-by-step explanation:
Let a be apples and b be bananas.
10a+5b=4.2
8a+10b=5.4
Solve for a:
10a+5b=4.2
Subtract 5b from both sides
10a=4.2-5b
Subtract 4.2 from both sides
10a-4.2= -5b
Multiply both sides by -1
-10a+4.2=5b
8a+10b=5.4
Subtract 10b from both sides
8a=5.4-10b
Subtract 5.4 from both sides
8a-5.4= -10b
Multiply both sides by -1
-8a+5.4= 10b
Divide both sides by 2
-4a+2.7=5b
Combine equations:
-4a+2.7= -10a+4.2
Add 10a to both sides
6a+2.7=4.2
Subtract 2.7 from both sides
6a=1.5
Divide both sides by 6
a=0.25
An apple costs £0.25
Solve for b:
10a+5b=4.2
Subtract 10a from both sides
5b= -10a+4.2
Subtract 4.2 from both sides
5b-4.2= -10a
Multiply both sides by -1
-5b+4.2=10a
8a+10b=5.4
Subtract 8a from both sides
10b= -8a+5.4
Subtract 5.4 from both sides
10b-5.4= -8a
Divide both sides by 4
2.5b-1.35= -2a
Multiply both sides by 5
12.5b-6.75= -10a
Multiply both sides by -1
-12.5b+6.75=10a
Combine equations:
-12.5b+6.75= -5b+4.2
Add 12.5b to both sides
6.75=7.5b+4.2
Subtract 4.2 from both sides
2.55=7.5b
7.5b=2.55
Divide both sides by 7.5
b=0.34
A banana costs £0.34
If you would like to check and see if it is true, (I already checked, it is) you can use the formulas I gave at the start of the explanation.
10a+5b=4.2
8a+10b=5.4
a=0.25
b=0.34
These box plots show the basketball scores for two teams.
Bulldogs
55
70
80
90
105
Tigers
55 60 65
85
110
Basketball scores
Which statement is the most appropriate comparison of the spreads?
O A. The range for the Bulldogs, 20, is less than the range for the
Tigers, 25.
O B. The median for the Bulldogs, 80, is more than the median for the
Tigers, 65.
O C. The interquartile range (IQR) for the Bulldogs, 20, is less than the
IQR for the Tigers, 25.
D. The interquartile ranges (IQRs) for the Bulldogs and Tigers are
both 55.
Answer:
C. The interquartile range (IQR) for the Bulldogs, 20, is less than the
IQR for the Tigers, 25.
Step-by-step explanation:
When describing the spread of a given data set in a box plot using the five-number summary, the measure that is of utmost important is the range or the interquartile range.
The range is the difference between the max and the min.
The interquartile range is the difference between Q3 and Q1.
Therefore, considering the options given:
=>Option A is incorrect because the range for bull dog is 50 (105 - 55), while the range for Tigers is 55 (110 - 55).
=>Median cannot be used for describing spread, so option B is not the most appropriate comparison of the spreads.
=>Option C is correct and the most appropriate because the interquartile range of bulldogs is 20 (90 - 70), which is less than the IQR of Tigers which is 25 (85 - 60).
=>Option D is incorrect.
Answer:
C
Step-by-step explanation:
The probability that a biased coin will land on Heads is 0.43
Azmol is going to throw the coin 600 times.
Work out an estimate for the number of times the coin will land on Tails.
Answer:
[tex]342[/tex]
Step-by-step explanation:
The probability of heads landing is 0.43.
The probability of tails landing is 1-0.43=0.57.
Azmol throws the coin 600 times, so:
[tex]600 \times 0.57[/tex]
[tex]=342[/tex]
A room is 6 m long, 4.5 m wide and 3 m high. It has no window
or door. It only has 4 walls. Find the cost of painting the 4 walls at
$8.50 per m2
This is a answer of this question.
I WILL GIVE BRANILEST! PLEASE HELPPPPPP a round flower garden with a radius of 23 metres is surrounded by a pathway of 2 metres wide. Calculate the circumference and area of the outer pathway.
Answer:
50pi circumference
96pi area
Step-by-step explanation:
The outer pathway is a circle of radius 25, so the circumference is
2*pi*25 or 50pi
The are is pi*r^2 or 625 pi - pi*23^2 = 96pi
Mark the statements that are true.
Answer:
Hi there!
The correct choices are: A, B, C
Step-by-step explanation:
π in radians equals to 180°
A is correct because 180/3 = 60
C is correct because 180/4 = 45
The measure angles π and π/4 is true
What is Radian and degree?Radian, When we rotate the radius completely around the circle, it completes one rotation. The angle subtended at the center of the circle by the radius after one complete rotation is 2π radians. The angle in radians subtended by the radius at the center of the circle is the ratio of the length of the arc to the length of the radius. When the length of the arc becomes equal to the length of the radius, the angle subtended at the center becomes 1 radian. We denote the unit radian as rad. Radians is the SI unit of measuring angles.
Degree Angles are measured in degrees. One revolution is divided into 360 equal parts and each part is called a degree. The angle subtended at the center of the circle after one complete rotation of the radius is 360°. The symbol for degrees is denoted by '°'. Degrees is not an SI unit to measure angles but it is an accepted unit to measure. Hence, while solving problems, it is preferred to convert the unit of angle from radians to degrees to understand it better. The instrument used to measure an angle in degrees is a protractor. Comparing the measures of the angle for a complete rotation, we observe,360 Degrees = 2π Radians180 Degrees = π Radians
According to the question
To convert radians to degrees, multiply by 180/p,
like this: degrees = radians x (180 / π )
To convert degrees to radians,
multiply by p/180, like this
radians = degrees x ( π/180)
(A)
This will use the formula for radians to degrees. π/3 x (180/π) The pi's cancel, leaving you with: 180/3 = 60 degrees False
(B)
An angle that measures π/6 radians also measures 30°π/6 x (180/π) = 30 degrees. True
(C)
An angle that measures π/3 radians also measures 60°π/3 x (180/π) = 60 degrees. True
(D) An angle that measures 180 degrees also measures π/2π/2 x (180/π) = 90 degrees. False
hence, measure angles π and π/4 is true, therefore option B and C are true
To learn more about radian and degree from here https://brainly.in/question/3390676
#SPJ2
Please help i will mark brainliest for anyone who can help me 15 points on the line
A:a^5 divided by a^2
B:C^4 divided by c^3
Answer: A_a^3
B_c^1
Step-by-step explanation:they work like integers therefore vlby sharing the same base and Having the division sign u just subtract the powers
HELP ME PLEASE WILL MARK BRAINLIEST
Answer:
Bottom Left
Step-by-step explanation:
Break up the numbers to 7, and -8.
Break up the fractions to 1/5 and -3/5.
can someone do this ???
M is less than angleAOC = 108 degrees m is less than angle AOB = 3x + 4 degrees m is less than angle BOC = 8x - 28 degrees Find m is less than angle AOB
Answer: angleAOB = 40°
Step-by-step explanation: Drawing these angles, we see that angle AOC is the sum of angle AOB and angle BOC, so:
angleAOC = angleAOB + angleBOC
108 = 3x + 4 + 8x - 28
108 + 24 = 11x
11x = 132
x = 12
Knowing x, to find angleAOB, just substitute and calculate:
angleAOB = 3x+4
angleAOB = 3.12 + 4
angleAOB = 40°
The angle AOB is 40°.
y+7=-2(x+3)
intercept form ):
Answer:
y = -2x - 13
Step-by-step explanation:
Answer:
y = - 2x - 13
Step-by-step explanation:
First, distribute out the two on the right side of the equation.
y + 7 = - 2x - 6
Next, subtract 7 from both sides to isolate the y variable on the left side.
y = - 2x - 13
That is your answer in slop-intercept form.
Make K the subject of the formula
[tex]t = \frac{mu {}^{2} }{k} - 5mg[/tex]
Answer:
Step-by-step explanation:
[tex]t = \frac{mu^{2} }{k} -5mg\\kt = mu^{2} -5mg\\k = \frac{mu^{2} -5mg}{t}[/tex]
To make k subject of the fomula :
Step 1 : cross multiply
Step 2 : Divide both side of the equation to isolate k
The solution of the expression for the value of k will be k = (mu² - 5mgk)/t.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is t = (mu²)/k - 5mg. The value of the expression for the value of k will be,
The value of k will be written as,
t = (mu²)/k - 5mg
k = (mu² - 5mgk)/t
Therefore, the solution of the expression for the value of k will be k = (mu² - 5mgk)/t.
To know more about an expression follow
https://brainly.com/question/25968875
#SPJ2
what is 1/3 of 48 in numbers
Answer:
16
Step-by-step explanation:
Multiply it by 1/3 and it equals 16
Answer:
16
Step-by-step explanation:
48/3=16
I really need help asap please :( anyone know the answer ?
Answer:
see below
Step-by-step explanation:
x = kendalls money
98 = 7x
Divide each side by 7
98/7 = 7x/7
14=x
Kendall had 14 dollars
Answer:
D
Step-by-step explanation:
94 divided by 7 = 14 also
7x (x is 14) = 94
Caleb bought some snacks at the store that cost a total of $9.38. If Caleb paid with a $20 bill, how much change did he get back?
Answer:
10.62
Step-by-step explanation:
20- 9.38 = 10.62
Is it possible to ride a bike 200 miles in 13 hours
Answer:
no
Step-by-step explanation:
because even going back to back it would take you about one or two days
The equation of the graphed line in slope-point form using (2,-1) is ___, and it’s equation in slope-intercept form is ___.
Answer:
[see below]
For "slope-point" form:Slope point (also called "Point-slope") form is: [tex]y-y_1=m(x-x_1)[/tex]
[tex](x_1,y_1)\text{ -Coordinate} \\m\text{ -Slope}[/tex]
Finding the Slope:We need to find the slope of the line given.
Slope is: [tex]m=\frac{y2_-y1}{x_2-x_1}[/tex]
We are given the points (2,-1) and (-2,-2).
[tex]m=\frac{-2-(-1)}{-2-2}=\frac{-1}{-4}=\boxed{\frac{1}{4}}[/tex]
The slope of the line is 1/4.
Creating the Point-Slope Equation:Replace 'm' with 1/4 and '(x1, y1)' with (2, -1).
[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y+1=\frac{1}{4}(x-2)}[/tex]
[tex]\text{The equation of the graphed line in slope-point form using (2,-1) is:}\\y+1=\frac{1}{4}(x-2)[/tex]
Creating the Slope Intercept Form Equation:Slope intercept form is: [tex]y=mx+b[/tex]
We can convert our point slope equation into slope intercept form.
[tex]y+1=1/4(x-2)\\\\y+1=1/4x-0.5 \leftarrow \text{Distribute}\\y+1-1=1/4x-0.5-1 \leftarrow \text{Subtraction Property of Equality}\\\boxed{y=\frac{1}{4}x-1.5}[/tex]
The equation of the line in slope intercept form is: [tex]y=\frac{1}{4}x-1.5[/tex] OR [tex]y=\frac{1}{4}x-\frac{3}{2}[/tex].
The surface inside the circles will be painted green. The surface outside the circles will be painted white. What is the ratio of green paint to white paint you will need to paint these tiles? \((\pi^2-4):\pi^2\) a \(\pi^2:(\pi^2-4)\) b \(\pi:(4-\pi)\) c \((4-\pi):\pi\) d
Answer:
B, π:(4-π).
Step By Step:
With a side of length 12, we have an area of 144. The circle's radius is 3, so their area is 9π, per circle. All four circles have a total combined area of 36π - green. The area that is left of the square after the circles are painted green is 144-36π - White
So, the ratio of Green:White is (36π) : (144-36π), which simplifies to π:(4-π), B
i need help help pls
Answer:
MAD = 2
Step-by-step explanation:
First We'll find the mean of data
Mean = [tex]\frac{20}{5}[/tex]
Mean = 4
Then, we'll find absolute deviation
=> |4-3| = 1
=> |4-2| = 2
=> |4-1| = 3
=> |4-1| = 3
=> |4-3| = 1
Now, taking the mean of these absolute deviations:
MAD = [tex]\frac{1+3+3+2+1}{5}[/tex]
MAD = [tex]\frac{10}{5}[/tex]
MAD = 2
PLZZZ HELP MEEE!!!!!!!!!!
Answer:
Step-by-step explanation:
Graph shown in the attachment,
- Since every value of x corresponds to a distinct value of y, so the graph represents a function.
- Every input value of x of the table has a output value of y, therefore, it's a function.
- In the set of ordered pairs (5, 8) and (5, 2), input value x = 5 has two output values for y,
y = 8 and y = 2
Therefore, it's not a function and (5, 8) should be changed to make the relation a function.
in how many years will rupees 1200 at the rate of 15% interest amount to 1740
Answer: 3 years
Step-by-step explanation:
Interest = 1740 - 1200 = 540
SI = prt / 100
540 = 1200 x 0.15 x t
540 = 180t
t = 540 / 180 = 3
Find the interest amount.
[tex]I=1740-1200=540[/tex]
Use the formula for simple interest.
[tex]I=prt/100[/tex]
Solve for t.
[tex]540=1200 \times 15\% \times t[/tex]
[tex]540=1200 \times \frac{15}{100} \times t[/tex]
[tex]540=180t[/tex]
[tex]t=\frac{540}{180}[/tex]
[tex]t=3[/tex]
3 years.Which of them do I turn into a decimal, a fraction, or a mixed number?.