Answer:
4.24264
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
I don't know how to explain. •-• Sorry!
3
Choose all the expressions that are equal to
A.
8
15
5
11
B.
7
12
+
6
C. 5
6
-
1
12
D.
5. 1+
E.
7
20
3
5
Answer:
the answers (D)
Step-by-step explanation:
The diameter of a circle is 4 cm. Find its area in terms of \piπ.
Answer:
Area of circle = 4π.
Step-by-step explanation:
Given the following data;
Diameter = 4cm
Pie = π.
To find the area of the circle;
Radius = diameter/2
Radius = 4/2
Radius = 2cm
Area of a circle = πr²
Substituting into the equation, we have;
Area of circle = π*2²
Area of circle = 4π.
Akris has a Quilted Calfskin bag on their website for this season in the shape of a trapezoid. Ms. Johnson called the company to get the dimension to use as a project for her math students. Based on the dimensions below, what is the area of trapezoid shaped purse?
Answer:
parralelagram
Step-by-step explanation:
As an estimation we are told 5 miles is 8 km.
Convert 45 miles to km.
Answer:
to get from 5 miles to 45 miles you multiply by 9 right so just times 8km by 9 which is 72 to get 45 miles into km.
Step-by-step explanation:
Answer:
72 km
Step-by-step explanation:
5m = 8km
÷5. ÷5
1m = 1.6km
×45. ×45
45m = 72km
Please show the work.
1. A wheelchair ramp is 4.2 m long. I rises 0.7 . What is its angle of inclination to the nearest degree?
2. A person flying a kite has released 176 m of string and attached the end to the ground. The string makes an angle of 27 degree with the ground. How high is the kite? How far away is the kite horizontally? Answer to the nearest meter.
Answer:
see explanation
Step-by-step explanation:
(1)
The angle of inclination is the angle between the horizontal and the ramp.
Using the sine ratio in the right triangle formed by the ground and the ramp
let x be the angle of inclination, then
sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{0.7}{4.2}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{0.7}{4.2}[/tex] ) ≈ 10° ( to the nearest degree )
(2)
Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.
let y be the height of the kite and x the horizontal distance, then
sin27° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{176}[/tex] ( multiply both sides by 176 )
176 × sin27° = y , then
y ≈ 80m ( to the nearest metre ) ← height of kite
and
cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{176}[/tex] ( multiply both sides by 176 )
176 × cos27° = x , then
x ≈ 157m ( to the nearest metre ) ← horizontal distance
Step-by-step explanation:
[tex]1)
The angle of inclination is the angle between the horizontal and the ramp.
Using the sine ratio in the right triangle formed by the ground and the ramp
let x be the angle of inclination, then
sinx = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{0.7}{4.2}4.20.7 , then
x = sin^{-1}sin−1 (\frac{0.7}{4.2}4.20.7 ) ≈ 10° ( to the nearest degree )
(2)
Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.
let y be the height of the kite and x the horizontal distance, then
sin27° = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{y}{176}176y ( multiply both sides by 176 )
176 × sin27° = y , then
y ≈ 80m ( to the nearest metre ) ← height of kite
and
cos27° = \frac{adjacent}{hypotenuse}hypotenuseadjacent = \frac{x}{176}176x ( multiply both sides by 176 )
176 × cos27° = x , then
x ≈ 157m ( to the nearest metre ) ← horizontal distance
[/tex]
A number, x, rounded to 1 decimal place is 3.7
Write down the error interval for x.
Answer: (3.65, 3.74)
Step-by-step explanation:
Now, when we round a number to a given decimal place, we need to look at the decimal to the left of the decimal place where we are rounding.
if it is 5 or more, we round up
if it is smaller than 5, we round down.
Then for example, if we want to round:
4.534
to the first decimal place, we need to look at the second decimal place.
we can see that it is a 2.
Then we round down, and get:
4.5
Now we know that, when rounding to the first decimal place, we have:
x = 3.7
Then the maximum value that x could have is:
x = 3.74 (because here we round down to 3.7)
and the minimum value that x could have is:
x = 3.65 (because here we round up to 3.7)
Then the error interval for x is:
(3.65, 3.74)
Store A sells 12 juice bottles for $4 and store B sells 18 juice bottles for $6. Are these rates equivalent? Explain your reasoning.
Answer:
these rates are equivalent.
12bottles/$4= 18bottles/$6= 3bottles/$1
Step-by-step explanation:
Allison earns a 10% commission on her weekly sales. Each week, she puts of her commission in a savings account and uses the amount remaining on bills. If Allison's sales for one week were $2,300.00. how much money does she use for bills?
Answer:
$2,070 is how much she will use for bills.
kate pays $203 in advance on her account at the athletic club. Each time she uses the club, $9 is deducted from the account. Find the remaining in the account after 12 visits
Answer:
95
Step-by-step explanation:
The equation to solving this would be 203 - (9 multiply 12). If you multiply 9 and 12 you get 108. Minus 108 from 203 and you get 95.
a woman spent 3/5 of her weekly salary on rent and 25% of her weekly salary on food. Her food cost $2500. How much did she spend on rent
Answer:
$6,000
Step-by-step explanation:
If her food costed $2500 and was 25%, then she had $10,000 to begin with. 3/5 of $10,000 is $6,000, so her rent costs $6,000.
Answer:
$6,000 on rent
Step-by-step explanation:
Find her weekly salary by dividing 2500 by 0.25
2500/0.25
= 10,000
Now, find how much she spent on rent by multiplying 10,000 by 3/5
10,000(3/5)
= 6,000
So, she spent $6,000 on rent
Find the 3rd quartile of the date set:
72, 74, 76, 78, 82, 84, 87, 90, 91, 93, 99, 99, 100
Answer:
Answer:
101 102 108 156 1784 1267
The third quartile of the data set is 96.
Hope this helped! :)
7. If it takes 2 gardeners 6 hours to landscape a garden, how long would it take 3 gardeners?
12
8. Question 7 is an example of...
Direct proportion
Inverse proportion
Sarah is making a pizza the diameter of the pizza is 8 inches what is the circumference of the pizza using 3.14 rounded to the nearest tenth
Answer:
Step-by-step explanation:
C=2πr
C=2π4
*If the diameter is 8, then the radius is 4.
C=25.1
hope its correct and hope it helps
The wages
w
(in £) Gordon earns is the number of hours he works
n
multiplied by his hourly rate
r
(in £ per hour). Enter a formula for Gordon's wages and enter the wage he would earn if he worked 5 hours at a rate of £10.40 per hour
n×r=£w
That is the equation you would use. Just put 5 in place of the N, and £10.40 in place of the R
help teacher graph only
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator or spreadsheet program can plot these points for you. It's probably no more work to actually plot the points yourself on the given graphs than it is to type them into a program.
As you know, the x-coordinate is the horizontal distance from the y-axis. Positive is to the right.
The y-coordinate is the vertical distance from the x-axis. Positive is up.
what are the powers of 3 through 1000? AND DONT JUST SAY A FEW I NEED ALL OF THEM
Answer:
1, 3, 9, 27, 81, 243, 729
Step-by-step explanation:
The powers of 3 are:
[tex]3^0 = 1[/tex]
[tex]3^1 = 3[/tex]
[tex]3^2 = 9[/tex]
[tex]3^3 = 27[/tex]
[tex]3^4 = 81[/tex]
[tex]3^5 = 243[/tex]
[tex]3^6 = 729[/tex]
[tex]3^7 = 2187[/tex]
And so on...
So through 1000: 1, 3, 9, 27, 81, 243, 729
The trip from Manhattan to Montauk Point is 120 miles by train or by car. A train makes the trip in 2 hours, while a car makes the trip in 2.5 hours. How much faster in miles per hour, is the average speed of the train than the average speed of the car?
Answer:
30mph faster
Step-by-step explanation:
first you must find how fast the train can go in 1 hour
that is 60mph, then multiply 60 and 2.5
60x2.5 = 150mph then,
150 - 120 =30mph
very sorry if this is wrong
The average speed of the train is 1.25 times the average speed of the car.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
The excursion from Manhattan to Montauk Point is 120 miles via train or via vehicle. A train makes the outing in 2 hours, while a vehicle makes the excursion in 2.5 hours.
The average speed of the train is given as,
⇒ 120 / 2
⇒ 60 miles per hour
The average speed of the car is given as,
⇒ 120 / 2.5
⇒ 48 miles per hour
The ratio of the average speed of the train to the car will be given as,
⇒ 60/48
⇒ 1.25
The average speed of the train is 1.25 times the average speed of the car.
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ5
Triangle A is transformed by the
combined transformation of a rotation
of 180° about the point (-1,0) followed
by a translation with vector
-3
2)
One point on triangle A is invariant
under the combined transformation.
What are the coordinates of this point?
Answer:
( -2.5 , 1 )
Step-by-step explanation:
(-2.5 ,1 ) hope this helps u
A university considers giving only pass/fail grades to freshmen to reduce competition and stress. The student newspaper interviews faculty members and reports their opinions of the proposed policy. Suppose that 70% of the faculty favor the pass/fail proposal. Assuming 50 faculty members are interviewed. The goal is to find the probability that a majority (26 or more) will favor the proposal.
Answer:
0.9983 = 99.83% probability that a majority will favor the proposal.
Step-by-step explanation:
We use the normal approximation to the binomial to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Suppose that 70% of the faculty favor the pass/fail proposal. Assuming 50 faculty members are interviewed.
This means, respectively, that [tex]p = 0.7, n = 50[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 50*0.7 = 35[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.7*0.3} = 3.24[/tex]
Probability that a majority (26 or more) will favor the proposal.
Using continuity correction, this is [tex]P(X \geq 26 - 0.5) = P(X \geq 25.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 25.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25.5 - 35}{3.24}[/tex]
[tex]Z = -2.93[/tex]
[tex]Z = -2.93[/tex] has a pvalue of 0.0017
1 - 0.0017 = 0.9983
0.9983 = 99.83% probability that a majority will favor the proposal.
simplify the first expression 5(m+1)-1=
Answer:
-0.8/ -4/5
Step-by-step explanation:
5(m+1) -1 = 0
5m +5 -1 = 0
5m +4 =0
5m= -4
m= -4/5
Write an equation that relates the number of peppers, n, and the
cost, C.
Complete Question:
The local Farm Market sells peppers at five for $2.25. Write an equation that relates the number of peppers, n, and the cost, C.
Answer:
[tex]C = 0.45n[/tex]
Step-by-step explanation:
Given
[tex]5\ peppers = \$2.25[/tex]
Required
Determine the relationship between C and n
[tex]5\ peppers = \$2.25[/tex]
Divide both sides by 5, to get the cost of 1 pepper
[tex]\frac{5\ peppers}{5} = \frac{\$2.25}{5}[/tex]
[tex]1\ pepper = \frac{\$2.25}{5}[/tex]
[tex]1\ pepper = \$0.45[/tex]
Multiply both sides by n to get the cost of n pepper
[tex]n*1\ pepper = \$0.45*n[/tex]
[tex]n\ pepper = \$0.45n[/tex]
So, we have:
[tex]C = 0.45n[/tex]
Anna, Brianna and Caleb share some money in the ratio 5:3:7
Caleb receives £9.60 more than Brianna.
What was the total of the sum of money that was shared?
(3 punten)
Answer:
£36
Step-by-step explanation:
7-3=£9.60/4
4units=£9.60
1 u=£9.60÷4=£2.40
total units->5+3+7=15
15 units=15×£2.40=£36
saul's makes green paint by mixing bule paint and yellow paint. For every 4 gallons of green paint, he uses 3 gallons of bule paint. what is the correct number of each type of paint into the box that would make 16 gallons of paint the same shade of green
Answer:
12 gallons of blue 4 gallons of yellow
Jackson’s puppy eats 24 ounces of feed every day an object with a weight of 1 ounce has a mass that is approximately equal to 28.3 grams
Which measurement is closest to the number of grams of foods Jackson’s puppy eats every day
Answer:
8
Step-by-step explanation:
bc hdibdjs
Which equation below represents the inverse function B(a), which takes the
trapezoid's area as input and returns as output the length of the other base?
Answer:
where are the choices?
Step-by-step explanation:
Where are the choices?
Can someone help me please ?
Step-by-step explanation:
For A
The name of two similar triangles is ABC and CED.
For b
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
Here
< BAC = < CED ( given)
<ACB = < ECD ( vertically opposite angles)
Please help with either of these questions. Put the answer in the comments please
Answer:
2) distance = 4 km
Displacement = 4 km east
3) distance = 35 km
Displacement = 5 km north
Step-by-step explanation:
2. He runs for 3 km in the east direction and then stops.. He now runs another 1 km in the same direction then stops.. Thus,
Total distance covered = 3 + 1 = 4 km
Total displacement is how far he is from his starting point = 3 + 1 = 4 km east
3) Runs 20km north and then runs 15 km back from starting point.
Thus;
Total distance covered = 20 + 15 = 35 km
Total displacement is distance from starting point = 20 - 15 = 5 km north
Subtracted because an opposite direction was taken after the 20km back to her starting point.
Find dy/dx by implicit differentiation.
7x^2 – 2y^2 = 16
dy/dx = ?
Answer: ANSWER DOWN BELOW
Step-by-step explanation:
18. Which of the following correctly shows 2,354,769 rounded to the nearest ten thousand?
as uve not shown no options it shud be round bout 2350000
Step-by-step explanation:
Answer:
2,350,000
Step-by-step explanation:
this is the answer I believe
Expand and simplify the following:
6x - 3(2x-1)
Answer:
3
Step-by-step explanation:
=6x-3(2x-1)
=6x-6x+3
=3 Answer