Answer:
Step-by-step explanation:
1 yard = 0.000568 miles
49280 yards = 28 miles
1 mile = 1,760 yards
Divide total feet by 1760
49,280 / 1760 = 28 miles.
Exercise 21
Let x represents a length in cm where x > 1.5.
AB = 2x - 3, BC = 4x – 6,
AD = 2x + 3 and BE = 4x +1
• ABC is right triangle of area Si.
. CBFG is a rectangle of area S2.
. ADEB is a right trapezoid of area S3.
1) Express S1 and S2 and S3 in terms of x
Plzzz I need help
Answer:
see explanation
Step-by-step explanation:
area of Δ ABC is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 4x - 6 and h = 2x - 3 , then
A = [tex]\frac{1}{2}[/tex] (4x - 6)(2x - 3) ← expand using FOIL
= [tex]\frac{1}{2}[/tex](8x² - 24x + 18) ← distribute
= 4x² - 12x + 9
----------------------------------------------------------
Area of rectangle CBFG is calculated as
A = lb ( l is length, b is breadth )
Here l = 4x - 6 and b = 3x - 2, then
A = (4x - 6)(3x - 2) ← expand using FOIL
= 12x² - 26x + 12
----------------------------------------------------------
Area of trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)
where h is the height and b₁, b₂ the parallel bases
Here h = 2x - 3, b₁ = 4x + 1, b₂ = 2x + 3 , then
A = [tex]\frac{1}{2}[/tex] (2x - 3)(4x + 1 + 2x + 3)
= [tex]\frac{1}{2}[/tex] (2x - 3)(6x + 4) ← expand using FOIL
= [tex]\frac{1}{2}[/tex] (12x² - 10x - 12) ← distribute
= 6x² - 5x - 6
What is the value of x^2 - 3y + 5x + 2 whenx = 7 and y = 4?
Answer:
74
Step-by-step explanation:
[tex]x^2 - 3y + 5x + 2 \\ \\ = {7}^{2} - 3(4) + 5(7) + 2 \\ \\ = 49 - 12 + 35 + 2 \\ \\ = 74[/tex]
I need explanation + answer.
Do not write the answer without explanation, please.
thanks in advance!
Answer:
C. 22,400.
Step-by-step explanation:
62.9% = 0.629 as a decimal fraction.
Total number of employees in small businesses in the county
= 270 * 132.
So the estimated number with less than $1000 savings
= 270 * 132 * 0.629
= 22,417.
Is 0.25 rounded to 0.3
Answer: Yes, round it to the nearest tenth
help meh please i need hell
Answer:
1 3/8
Step-by-step explanation:
Calculate the area of the shaded region
Area of the rectangle = (18 m) (12 m) = 216 m²
Area of the triangle cutout = 1/2 (7 m) (9 m) = 63/2 m²
Area of the shaded region = 216 m² - 63/2 m² = 369/2 m² = 184.5 m²
A bag contains only red, blue and green counters.
There are 120 counters in the bag.
The probability of choosing a red counter is ¼ and the probability of choosing a blue
counter is 0.2
How many green counters are in the bag?
Answer:
Step-by-step explanation:
Answer:
66
Step-by-step explanation:
Red counters: 120/4=30
Blue counters:120/5=24
Green counters:30+24=54, 120-54=66
Plz someone help I beggggg
Answer:
25100 i believe would be the answer
Step-by-step explanation:
please help. i’ll give brainliest
Answer: What is the question?
Step-by-step explanation:
What is the question?
Evaluate the expression x=4 , y=-2 , z=-3
Answer:
36
Step-by-step explanation:
I don’t know if this half the problem or something because you only need to know what a equals but...
1. Substitute x for 4 since x=4... so the equation would then be (4)^2+10(4)-20
2. You simplify so 4 squared is 16 because when you square something you times it by it self so 4^2 is simply 16 because 4*4=16 then 10*4 is 40 so then you get 16+40-20
3. So you can simplify that again to 56-20 and then to 36
Sorry I’m really bad at explaining but I hope this helps
A car is traveling 60 miles per hour. How long will it take to travel 240 miles?
Answer:
4 hours
Step-by-step explanation:
240 / 60 = 4
ana can swim at a rate of 3/8 mile in 1/3 hour.
(multiple choice) How is e-mail different from other types of communication?
can't save messages
can't hear tone of voice
can't get clues from body language
can't access sent messages
Answer: You can't hear the tone of voice or get clues from body language.
Step-by-step explanation:
When sending emails, the sender and the recipient communicate through a screen, thus each person is unable to see the other when conversing or hear the inflections or emphasis of voice in the message, although we can always attempt to interpret tone. Email allows you to store emails in the inbox or archive and access sent messages, but email lacks the ability to intimately understand specifics such as tone of voice or body language.
Answer:
cant get clues from body language, cant hear tone of voice
Step-by-step explanation:
Consider a function f(x) such that f(5x) =x-5/5x-1. Find f(x) and hence write down the domain of f(x).
Answer:
[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]
Domain: [tex]x \ne 1[/tex]
Step-by-step explanation:
Given
[tex]f(5x) = \frac{x - 5}{5x - 1}[/tex]
Required
Determine f(x) and its domain
To determine f(x), we replace 5x with x in f(5x)
So, we have:
[tex]f(5x) = \frac{\frac{5x}{5} - 5}{5x - 1}[/tex]
[tex]f(x) = \frac{\frac{x}{5} - 5}{x - 1}[/tex]
Take LCM
[tex]f(x) = \frac{\frac{x - 25}{5}}{x - 1}[/tex]
[tex]f(x) = \frac{x - 25}{5} * \frac{1}{x-1}[/tex]
[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]
To get the domain, we set the denominator as
[tex]5x - 5 \ne 0[/tex]
[tex]5x \ne 5[/tex]
[tex]x \ne 1[/tex]
The sum of two numbers is 125. Their difference is 47. The two numbers are:
39 and 86.
40 and 85.
47 and 78.
None of these choices are correct.
Answer:
39 and 86.
Step-by-step explanation:
39 and 86 equal 125 when added. When 47 is subtracted from 86 you get 39.
if lines intersect, does that make it, one solution, no solution, or infinite solution?
Answer:
one solution
Step-by-step explanation:
No solution is when they don't intersect at all. Infinite solutions is if the two lines are on top of each other.
Answer:
one solution
Step-by-step explanation:
if they intersect, they become one solution, if they don't intersect, than there are no solutions. If the graphs of the equations are the same, there are infinite solutions.
Which of the following statements can be used to show that today's high temperature, 12°F, is warmer than yesterday's high temperature, which was -15°F?
-15°F = 12°F
-15°F ≥ 12°F
-15°F 72°F
Answer:
-15°F < 12°F
Step-by-step explanation:
Hope it helps you in your learning process.
Which of the scatterplots have no correlation? Check all that apply.
On a graph, points curve up and down.
On a graph, points are grouped together to form a horizontal cluster.
On a graph, points are grouped together to form a vertical cluster.
On a graph, points are grouped together and decrease.
On a graph, points are scattered over the graph.
Answer:
2, 3, and 5
Step-by-step explanation:
got it right on test.
The scatterplots (B), (C), and (E) have no correlation. which is the correct answer would be options (B), (C), and (E)
What is the Scatter plot?The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis.
When analyzing data with more than two variables, a scatter plot is used, which has a separate vertical axis for each variable.
According to the given option,
The second has no slope, therefore there is no correlation.
The third has a zero average slope with no upward or descending trend; no correlation.
The fifth has a general increasing tendency and will have a non-zero correlation.
Thus, the scatterplots (B), (C), and (E) have no correlation.
Hence, the correct answer would be options (B), (C), and (E),
Learn more about the Scatter plot here:
brainly.com/question/1386565
#SPJ6
Calculator Item 2 is unpinned. Click to pin. Mrs. Pitts wrote the volume formula as "V=1/3 Bh. What does "B" represent? A: The radius of the base B: The circumference of the base C: The diameter of the base. D: The area of the base.
Answer:
D: The area of the base.
Step-by-step explanation:
The volume of a triangular based pyramid is represented by the formula given that the question as:
V = 1/3BH
where B = Base area of the triangular based pyramid
H = Height of the triangular based pyramid.
Hence, option D is correct
B = The area of the base.
PLS ANSWER FAST!!!
a rate is a ratio that compares
A) a part to a part
B) a part to a whole
C) quantites with different units
D) quantities with the same units
Answer:
c
Step-by-step explanation:
A rate is a ratio that compares quantites with different units.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
A rate is a comparison of two quantities that have different units, such as miles per hour, dollars per gallon, or meters per second.
A rate can be expressed as a fraction or a ratio, with the numerator representing the quantity being measured and the denominator representing the unit of measurement.
Hence, a rate is a ratio that compares quantites with different units.
To learn more on Ratios click:
https://brainly.com/question/1504221
#SPJ5
Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 27 miles at a speed of 9 mph, while Bob's
motorboat traveled 36 miles at a speed of 12 mph. For how long were Niles and Bob traveling?
OA
2 hours
ОВ.
6 hours
OC.
5 hours
OD. 3 hour please help me with this
Answer:
D- 3 hours long they were traveling
Step-by-step explanation:
27÷ 9= 3
36÷ 12= 3
question: How many unites down would triangle RST need to be translated in order for the coordinates of R to be (-3, 0)
Solve the following equation for I. A = 2nr + nrl. Explain each step please
A sweater is $43. It is on sale for 20% off. What is the final price? $34.40 $47 $8.60
Answer:
34.40
Step-by-step explanation:
43×0.2 = 8.60
43-8.60= 34.40
Find the values of X and Y
Answer:
x=90, angle bisector theorem
y=43,
90+47+y=180
=137+y=180
y=43
What is the least positive integer divisible by each of 1, 3, 5, and 7?
Answer:
105
Step-by-step explanation:
You need the least common multiple of the 4 numbers. Since 3, 5, and 7 are prime numbers, the answer is their product.
LCM = 3 * 5 * 7 = 105
The least positive integer that is divisible by each of 1, 3, 5, and 7 is 105.
In order to solve the question, we simply have to find the lowest common multiple that is applicable to all the numbers that are given on the question.
In this case, the lowest common multiple can be gotten by multiplying the numbers be high will be:
= 1 × 3 × 5 × 7 = 105
Therefore, the number is 105.
Read related link on:
https://brainly.com/question/20125628
The difference of two numbers is 308. The smaller of the numbers is 730. What is
the other number?
Answer:
1038
Step-by-step explanation:
730+308= the big number
Answer:
1038
Step-by-step explanation:
What is the value of x?
Sum of three angles in the triangle equals to 180.
70+30+x=180
100+x=180
x=180-100
x=80
Therefore, the answer is 80.
Find the area of the irregular figure.
2 in.
3 in.
5 in.
A = [ ? ]in.2
3 in.
2 in.
4 in.
4 in.
Answer:
area = 35 in²
Step-by-step explanation:
brooke plays on her schools softball team. Last season she was at bat 500 times and made a safe hit 28% of the time. How is 28% expressed as a fraction
PLEASE HELP please?
Answer:
28/100
Step-by-step explanation: