Answer: 2880 hours
Explanation: 120 days times 24 hours
BRAINLIST!!!
A construction crew built 7 1/2 miles of road in 3 1/8 days.
What is the unit rate in miles per day?
Write your answer as a fraction or a mixed number in simplest form.
Answer:
If you think numbers with fractions are annoying, consider transforming the number into fractions!
Step-by-step explanation:
7 1/2 is (14+1)/2, and 3 1/8 is (24+1)/3. Not you have 15/2 miles for 25/3 days and by dividing them you get 0.9 miles a day
Verify the following identity and show steps
(Cos2 θ)/(1+sin2 θ)= (cot θ-1)/(cot θ+1)
Answer:
Verified below
Step-by-step explanation:
We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)
In trigonometric identities;
Cot θ = cos θ/sin θ
Thus;
(cot θ - 1)/(cot θ + 1) gives;
((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)
Simplifying numerator and denominator gives;
((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)
This reduces to;
>> (cos θ - sin θ)/(cos θ + sin θ)
Multiply top and bottom by ((cos θ + sin θ) to get;
>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)
In trigonometric identities, we know that;
cos 2θ = (cos² θ - sin²θ)
cos²θ + sin²θ = 1
sin 2θ = 2sinθcosθ
Thus;
(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:
>> cos 2θ/(1 + sin 2θ)
This is equal to the left hand side.
Thus, it is verified.
PLS HELP FAST ITS THE LAST DAY TO DO THIS TEST NO LINKSSSS
An electrician charges $40 per hour plus an initial service fee of $75. He charges a customer $195 for 3 hours of work.
When this linear relationship is graphed, which value represents the slope?
A. 3
B. 40
C. 75
D. 195
Answer:
40 because every hour he charges 40 dollas so its 40x+75=y
Step-by-step explanation:
The slope is 40 because every hour he charges 40 dollars so its 40x+75=y
We have given that,
An electrician charges $40 per hour plus an initial service fee of $75. He charges a customer $195 for 3 hours of work.
We have to determine,
When this linear relationship is graphed, which value represents the slope.
What is the slope?
The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as a rising overrun.
The slope is 40 because every hour he charges 40 dollars so its 40x+75=y
To learn more about slope visit:
https://brainly.com/question/3493733
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look at pic 10 pts will mark brainilest
Answer:
A- point A
Step-by-step explanation:
Absolute value doesnt care about the sign so a negative is a positive.
PLease Brainliest
What are the coordinates of point A" if triangle
ABC is reflected over the y-axis and then
translated by the rule (22, y) + (x – 5, y – 5) ?
A. (-2,-2)
B. (2,-2)
C. (-2,2)
D. (2,2)
Answer:
Reflected OVER Y makes A
A (-7,3) -> (7,3)
Translated makes
A (7,3) -> (7-5, 3-5) = (2,-2)
B)
Step-by-step explanation:
find the angle of elevation of a kite on a 50m
string flying 40m vertically above the ground.
The angle of elevation of a kite is 53.13°
What is angle of elevation?"It is the angle formed by the line of sight and the horizontal plane for an object above the horizontal surface."
What is sine angle?"For a right triangle, the sine of acute angle [tex]\theta[/tex] is,
[tex]sin(\theta)=\frac{opposite ~side}{hypotenuse}[/tex]"
For given question,
Consider the following diagram for given question.
The length of the string (AC) = 50m
The kite is flying 40m vertically above the ground.
⇒AB = 40m
We need to find the angle of elevation [tex]\theta[/tex]
Consider the sine of angle [tex]\theta[/tex]
[tex]\Rightarrow sin(\theta)=\frac{AB}{AC} \\\\\Rightarrow sin(\theta)=\frac{40}{50}\\\\\Rightarrow sin(\theta)=0.8\\\\\Rightarrow \theta=sin^{-1}(0.8)\\\\\Rightarrow \theta=53.13^{\circ}[/tex]
Therefore, the angle of elevation of a kite is 53.13°
Learn more about the angle of elevation here:
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A decimal that stops (like 2.48) is which type of number?
A.rational
B.whole number
C.irrational
D.integer
Answer: B rational
Step-by-step explanation:
The function g is defined by g(x) = x² +4.
Find g(5n)
Answer:
g(5n)=5n^2+4
Step-by-step explanation:
Substitute 5n for x
5n^2+4
You can't really do much with this so that is the answer
Find the area of the shaded region in the figure below, if the radius of the outer circle is 8 and the radius of the inner circle is 4. Keep your answer in terms of π.
Answer:
48 π
Step-by-step explanation:
Area of Circle =πr∧2
Big Circle Area = π(8)∧2 = 64π
Small Circle Area =π(4)∧2= 16π
Shaded Region = 64π - 16π = 48π
A circle passes through the points (3,2) and (7,2) and has radius 2√2. Find the two possible equations for this circle
Answer:
18 because of its addition
Step-by-step explanation:
πr²=3+2+7+2+2+2
=5+9+4
=18
Please help me it would mean a lot !!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Given
f(x) = 4x + 7
so
f(a + h) = 4(a + h) + h
= 4a + 4h +h
= 4a + 5h
f(a) = 4a + 7
now by the question
[tex]\frac{f(a+h) - f(a)}{h}\\=\frac{4a + 5h - 4a + 7}{h}\\=\frac{ 5h + 7}{h} \\= \frac{5h}{h} + \frac{7}{h} \\= 5 +\frac{7}{h}[/tex]
hope it helps :)
Acellus
Find Y.
Round to the nearest tenth.
20 ft/
\22 ft
Y
Х 18 ft
Y= [? ]°
Law of Cosines: c2 = a2 + b2 - 2ab cos C
Enter
Answer:
58.9
Step-by-step explanation:
y²=x²+z²-2×z cos(y)
20²=22²+18²-2(22)(18) cos (y)
400=484+324-792 cos(y)
-408=-772 cos (y)
408/792=cos y
y=cos⁻¹(408/792)=58.9
hope it helps...
have a great day!!
Sofia asked 50 students at her school whether they prefer music class or art class as an
elective. This table shows the relative frequencies from the survey.
Answer:
1 and 4
or say it as
More seventh graders prefer art class to music class as an elective
There is no association between a student's grade level and the electives they prefer
Please help with math asap:
Rewrite without parentheses and simplify
(y+7)^2
Helppp plssssssssssss
Answer:
The answer is C
Step-by-step explanation:
If you plot them carefully.
HELP MEEE
Colin asked some of his classmates how many minutes they spent working on their math homework last night. He created a dot plot to show his results.
25
5 10 5 20
Amount of Time
(minutes)
What is the range of the data Colin collected?
05
0 20
o 25
11
Answer:
pretty sure its twenty
Step-by-step explanation:
you have to subtract the maximum from the minimum values
so 25-5=20
have a nice day!!!!!!!!
Consider the line y=7x+4.
Find the equation of the line that is parallel to this line and passes through the point ( -3, 5)
Find the equation of the line that is perpendicular to this line and passes through the point ( -3, 5)
Answer:
parallel y=7x+26
perpendicular y=1/7x+32/7
Step-by-step explanation:
parallel line have the same slope
y-5=7(x-(-3))
y-5=7(x+3)
y-5=7x+21
y=7x+21+5
y=7x+26
perpendicular slope is the opposite of the original slope of 7
y-5=-1/7(x-(-3))
y-5=-1/7(x+3)
y-5=-1/7x-3/7
y=-1/7x-3/7+5
y=-1/7x+32/7
What is the area of a square that has 2/4 units on each side
Answer:
1/4 of 0.25
Step-by-step explanation:
2/4 x 2/4 = 1/4
What single percentage change is equivalent to a 11% decrease followed by a 13% decrease?
Answer:
77.43% decrease
Step-by-step explanation:
A decrease of 11% = (100 - 11)% = 89% = [tex]\frac{89}{100}[/tex] = 0.89
A decrease of 13% = (100 - 13)% = 87% = [tex]\frac{87}{100}[/tex] = 0.87
A 11% decrease followed by a 13% decrease has an overall change of
0.89 × 0.87 = 0.7743 × 100% = 77.43%
Without solving, tell what is true of the product of 3 and 2/3 =?
Answer:
3 is a whole number while 2/3 is less than 3
Step-by-step explanation:
to reflect point R(6, 10) over the y-axis. What are the coordinates for R’?
Answer:
-6, 10
Step-by-step explanation:
When you reflect of the y-axis the x will be negative if the original point was positive and the y will stay the same
Add or Subtract to Simplify:
(4x - 2x3) + (5x3 - 4x + 5)
I need the answer ?
Answer: =3x^3+5
Step-by-step explanation: Hope this help :D
Find the solution set of the inequality:
82 + 2 > 34
SOMEONE PLS HELP
Answer:
82+2>34
84>34
True
I hope this helps :)
someone anwser this please
The irrational number square root 67 is less than [blank]
Answer:
The square root of 67 is less than the whole number of 9
Step-by-step explanation:
8 squared is 64
9 squared is 81
67 is in between them
Solve the inequality: x^6 - 64 > 0
Please help ASAP!!! Thank you!!!
Step-by-step explanation:
Step-by-step explanation: Here's your solution
Step-by-step explanation: Here's your solution=> x^2 - 64 > 0
Step-by-step explanation: Here's your solution=> x^2 - 64 > 0 => x^2 > 64
Step-by-step explanation: Here's your solution=> x^2 - 64 > 0 => x^2 > 64 => x = 6√64
=. x = 2
hope it helps
Giving Brainlest !!!!! If your bank offered you 3% interest on $5,000 in your savings account , how much money would you have in your account at the end of the year after interest ?
Answer: $5,150
Step-by-step explanation:
5000x0.03=150+5000=5,150
how should you write the proportion 9:36=10:40 using words
Answer:
Nine to thirty-six equals ten to forty.
Step-by-step explanation:
The word ‘to’ can be substituted in for the colon (:). This is to denote the mathematical concept of ratios.
The word ‘equals’ can be used in place of the equal sign (=).
The volume of a sphere is 5000x m . What is the surface area of the sphere to the nearest
square meter?
Answer:
Step-by-step explanation:600
If the maximum of a data set is 50 and the minimum of the set is 10, what is the range?
Answer:
40
explanation:
The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract the lowest number from the highest. The answer gives you the range of the list.