A train travels at a rate of 150 mph on a flat
plain. How long did it take the train to get from a
distance of 68 miles to 222 miles on its journey?
Answer:
61 minutes and 36 seconds
Step-by-step explanation:
150 mph is equal to 2.5 miles per minutes divide miles by 2.5
The doctor told her patient that every day he needs
to consume more than 1800 but less than 1900 calories.
Write an inequality representing the possible amount of
calories the patient could cconsume.
NO LINKS HELP (question is in picture)
Step-by-step explanation:
area of ∆ is 10in².
hope this helps you.
need help with question 4
Step-by-step explanation:
it's option D (x³)
hope this helps you.
Someone please help me solve the problem
========================================================
Explanation:
Check out the diagram below.
We have the following points
A = center of both the circle and the squareB = point on the circle directly to the left of point AP,Q,R,S = corner points of the squareE = intersection of segments AB and PSF = point on the square directly to the right of point AC and D = intersection of segment PS and the circleLet x be the length of segments DE and EC. Note how segment AB bisects segment DC. Whenever the radius is perpendicular to the chord like this, the radius will bisect the chord.
We're told that the chord length CD is the same as the radius AD, since CD = CE+ED = x+x = 2x, this means AD = 2x as well.
At this point, you probably can recognize we have a 30-60-90 triangle. One useful property of such triangles is that the hypotenuse is double the length of the short leg. The long leg is [tex]x\sqrt{3}[/tex] which is the length of segment EA. You can use the pythagorean theorem to confirm this.
----------------------------------
To summarize that last section, we formed triangle DAE and this triangle is a 30-60-90 triangle as shown in the diagram below.
Notice how the segments EA and FA span the entire width of the square. That width being [tex]EA+FA = x\sqrt{3}+x\sqrt{3} = 2x\sqrt{3} = EF[/tex]
The square has side lengths of [tex]2x\sqrt{3}[/tex] while the circle has radius 2x.
Use these two facts to find the area of each in terms of x.
[tex]A_1 = \text{area of square} = (\text{side})^2 = (2x\sqrt{3})^2 = 12x^2[/tex]
[tex]A_2 = \text{area of circle} = \pi*r^2 = \pi*(2x)^2 = 4\pi x^2[/tex]
-----------------------------------
The last step is to divide the two results. The x^2 terms cancel out.
We'll be left with...
[tex]\frac{A_1}{A_2} = \frac{12x^2}{4\pi x^2} = \frac{12}{4\pi} = \frac{3}{\pi} \approx 0.9549[/tex]
There are many ways to express this ratio. One way we could write it is to say 3:pi to indicate that if the area of the square is 3, then the circle has area of pi (approximately 3.14). No matter what the square's area is, the circle is always slightly larger in area.
Kianna lives in a town where the streets are laid out in a grid. She uses a coordinate plane to draw a map of the town, with her school at the origin. Kianna plots points for the locations of her house and her best friend Jo's house on the grid.
Kianna's house is at the point (4, 2).
Kianna's and Jo's houses are reflections of each other across both axes.
1. What are the coordinates of Jo's house? Explain how you know in the space below.
2. Kianna walks from her house to Jo's house. She first walks west and then walks south. How many blocks west does Kianna walk? How many blocks south?
Write your answer in the space below.
3. Elena's house is a reflection of Jo's house across the x-axis.
What are the coordinates of Elena's house? Explain in the space below.
4. Kianna says that Elena's house is actually a reflection of her house across the y-axis.
Is Kianna right? Explain
Answer:1. The coordinates of Jo’s house are (-4,-2).
Step-by-step explanation:
1. Since Jo’s house is reflected across both axes, we must reflect the coordinates two times. So we can reflect the coordinates of Kianna’s house across the x-axis first, which would give you the coordinates (4,-2). Then we reflect (4,-2) across the y axis, giving us the coordinates (-4,-2). So Jo’s house has the coordinates (-4,-2).
Hope this helps.
10+4.5m=21.25
Solve for M
Answer:
m = 2.5Step-by-step explanation:
10 + 4.5m = 21.25=> 4.5m = 21.25 - 10=> 4.5m = 11.25=> m = 11.25/4.5=> m = 2.5Conclusion:
Therefore, m = 2.5
Hoped this helped.
[tex]GeniusUser[/tex]
Find domain and range
write the equation of the line in fully simplified slope-intercept form
Answer:
y=1/2x+8
Step-by-step explanation:
grab 2 points in this case (4,10) and (0,8)
use rise over run formula so it rises 2 and goes over 4
so 2/4 then simplify and you get 1/2
and the y intercept is 8 because thats when the slope touches the y line
so using the equation y=mx+b when m is slope and b is y interecpt
the answer should be y=1/2x+8
Answer:
y=2x+8
Step-by-step explanation:
8=b m=y_ý/x_x`=2
y=ax+b
y=2x+8
Write the standard form of a polynomial functions whose zeros/roots are
4-3i, 4+3i
and has a lead coefficient of 1
Answer:
In other words, x = r x = r is a root or zero of a polynomial if it is a solution to the equation P (x) =0 P ( x) = 0.
Step-by-step explanation:
Solve using elimination.
y = 3x + 4
3y = 3x + 8
Answer:
4y=9x+12
Step-by-step explanation:
the answer should be that's it
A rhombus has a side length of 6 centimeters, and a height of 2
centimeters.
What is the area of the rhombus, in centimeters??
Answer:
12 cm^2
Step-by-step explanation:
The area of the rhombus is 12 cm².
Given that, a rhombus has a side length of 6 centimetres, and a height of 2 centimetres.
We need to find the area of the rhombus, in centimetres.
What is the area of the rhombus?The formula for the area of the rhombus when base and height are known.
The rhombus is a parallelogram. We know that the area of a parallelogram is given by multiplying base and height sq units. The same is applied to the rhombus as well. Area of a rhombus = Base × Height sq units.
Now, the area of a rhombus= 6×2=12 cm²
Therefore, the area of the rhombus is 12 cm².
To learn more about the area of the rhombus visit:
https://brainly.com/question/15458057.
#SPJ2
A glass top of an office table has sides of 21 inches. What is its area?
Answer:
441 [tex]inches^{2}[/tex]
Step-by-step explanation:
If this is a rectangle, meaning the width and the legnth is different, there is no way in solving this.
However, if it is a square, meaning all the sides are the same,
we can know that every side is 21 inches long.
An area is the width times the length, which is both 21 in this case.
21 times 21 = 441.
441 inches squared.
The function f(x)is graphed on the coordinate plane.
What is f(−2)?
Enter your answer in the box.
f(−2) =
Answer:
f(-2) = -2
Step-by-step explanation:
f(-2) means find the y value when x = -2
The y value when x = -2 is-2
f(-2) = -2
please help, i really beg
Answer:
Undefined
Step-by-step explanation: Because the pints are a line so there isnt a slope unless ther is a shape.
I'm saying positive. I don't think you need a shape to find the slope
please help me asap..
ty :)
Answer:
x-intercept = 3, 0
y-intercept = 0, -4
Step-by-step explanation:
12 red cars is what part of 48 total cars
Answer: 1/4
Step-by-step explanation: i think it is 1/4 bc 48 is the total and 12 can go in 48 4 times
i hope this helped have a good day
This means that 12 cars are green,12 cars are blue,and 12 cars are yellow/white. which means there are 4 groups of cars which all together equals 48 which is 48 divided by 12 equals 4 or just do 12 +12+12+12+48 or
4+4+4+4+4+4+4+4+4+4+4+4=48
Meaning there are 4 groups and 12 is 1 part of them which makes 1/4
Translate this phrase into an algebraic expression.
7 increased by twice Goran's savings
Use the variable g to represent Goran's savings.
Answer: 2g + 7 or 7 + 2g
Step-by-step explanation:
7 increased by twice g can be represented as 2g + 7 or 7 + 2g
A coffee pot holds 3 quarts of coffee. How much is this in cups?
Answer:12 cups
Step-by-step explanation:
because 1 quart is equal to 4 cups multiply by 3
HELP ME PLEASE GUYS! :)
Remember that a system of equations (two lines) only has solutions if the lines cross. In this case, the lines are parallel, which means that they will never cross. Therefore, there are no solutions.
Hope this helps! :)
What is the equation for Having your boss pay you 10,000 a day for 3 full weeks
Answer:
210,000 units
Step-by-step explanation:
Let d represent each day
Let p represent amount paid
p = 10000x
If paid for 3 full weeks.
3 weeks is 3x7 =21 days so:
p = 10000x
p = 10000(21)
p = 210000 units
Answer:
210,000
Step-by-step explanation:
10,000x(3x7)
10,000x21=210,000
Mrs. Clark's plant is 4 3/4 inches tall. It is 1 7/8 inches taller than Jimmy's plant.
How tall is Jimmy's plant?
Subtract. (5d+6)–(2d+2)
Answer:
3d+4
Step-by-step explanation:
(5d+6)–(2d+2)
To find the opposite of 2d+2, find the opposite of each term.
5d+6−2d−2
Combine 5d and −2d to get 3d.
3d+6−2
Subtract 2 from 6 to get 4.
3d+4
Hope this helps! :)
Given the point and the slope, write the function in point-slope form:
(2,−5);m=23
Group of answer choices
y−5=23(x−2)
y+5=23(x−2)
y−5=23(x+2)
y+5=23(x+2)
Answer:
2nd answer choice
Step-by-step explanation:
point slope form: y-y1=m(x-x1)
y-(-5)=23(x-2)
y+5=23(x-2)
Answer:
(b) y+5=23(x−2)
Step-by-step explanation:
The point-slope form for the equation of a line is ...
y -k = m(x -h) . . . . . . point (h, k), slope m
You have point (2, -5) and m=23, so the equation becomes ...
y -(-5) = 23(x -2)
y +5 = 23(x -2) . . . . . . simplify a bit
Question 1 (1 point)
Order the decimals from least to greatest.
10 3.06, 3.6, 3.066, 3.006
least
greatest
10) LEAST
GREATEST
Blank 1:
Answer:
3.006, 3.06, 3.066, 3.6, 10
Step-by-step explanation:
Numbers written in a place-value system are compared left-to-right. If the digits with the same place-value multiplier being compared are the same, then the next digits to the right need to be compared.
The number 10 is the greatest. (None of the others have a digit in the 10s place.)
The number 3.6 is the next greatest. (6 in the tenths place is the largest digit there.)
The number 3.066 follows that, then 3.06.
3.006 is the least.
In order from least to greatest, the numbers are ...
3.006, 3.06, 3.066, 3.6, 10
I will give 100 points for 5 questions
Answer:
1. SSS
2. SAS
3. SAS
4. 1?
5. SSS
Step-by-step explanation:
A truck can be rented from Company A for $110 a day plus $0.20 per mile. Company B charges $80 a day plus $0.50 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
130
Step-by-step explanation:
Step 1: write equations:
Company A: y = 0.20x + 110
Company B: y = 0.50x + 80
Step 2: graph your lines
Step 3: Find your intersect point
Step 4: find the points: (100,130)
The number of miles is y, so at 130 miles, both trucks are the same cost
Hope that helps
Find the measure of angle Y.
Answer:
Y = 62°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
W + X + Y = 180°
(4n -9°) + (7n -16°) +(6n -16°) = 180°
17n -41° = 180° . . . . . . . . . . simplify
17n = 221° . . . . . . . . . . add 41°
n = 13° . . . . . . . . . . divide by 17
Then the measure of Y is ...
Y = 6n -16° = 6(13°) -16° = 78° -16°
Y = 62°
_____
The other angles are W = 43°, X = 75°.
Angles of a triangle adds to 180° .
===============================> W + X + Y = 180°
=> (4n-9°) + (7n-16°) + (6n-16°) = 180°
=> 17n-41° = 180°
=> 17n = 180° + 41°
=> 17n = 221°
=> n = 221/17
=> n = 13°
The measure of Y is,=> 6n-16° = 6(13°) -16° = 62°
Y = 62°
when a card is drawn from a well shuffled pack of 52 cards , find the probability of getting the card a club or a jack
Explanation:
There are 4 jacks (one of each suit) and 13 clubs. This gives 4+13 = 17 cards that are either jack or club. However, we double-counted the jack of clubs which means there are really 17-1 = 16 cards that are one or the other or both.
This is out of the 52 total mentioned. So we end up with the probability:
16/52 = (4*4)/(4*13) = 4/13
a) What is the domain?
b) What is the range?
c) Is this relation
a function?
Answer:
Step-by-step explanation:
A. x is negative infinite to positive infinite
b. Y=3
c. Yes
reasoning
a. It’s asking what can x equal Be used domain is like another name for x and of you look on thw graph the arrow is crossing all the x points
B. It’s asking for y since range is another name for y and you see on the y axis, y is only interacts with three and no other point so it’s just y=3
C. It’s a function because it passes the vertical line tes!