Hey there!
56/3 + 7
= 56/3 + 7/1
= 56/3 + 21/3
= 56 + 21/ 3 + 0
= 56 + 21/3
= 77/3
≈ 25 2/3
≈ 25.666667
Therefore, your answer is: [77/3] which is approximately [25.666667]
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The angle of elevation of the top of a pole as seen from a point 13 ft away from the base is double its angle of elevation as seen from a point 47 ft farther from the pole. Find the height of the pole above the level of the observer's eyes. 10) A) 34 ft B) 86 ft C) 60 ft D) 45 ft
The height of the pole above the level of the observer's eyes is 31.42 ft
Let the angle of elevation of the top of the pole from a point 47 ft away be α.
Let the angle of elevation of the top of the pole from the point 13 ft away be β.
Since the angle of elevation of a point 13 feet away is twice that from 47 ft away, we have that β = 2α.
If the height of the pole above the level of the observer's eye is h, we have that
tanβ = tan2α = h/13 and tanα = h/47
From trigonometric identities tan2α = 2tanα/(1 - tan²α)
Substituting the values of the variables into the equation, we have
tan2α = 2tanα/(1 - tan²α)
h/13 = 2h/47 ÷ [1 - (h/47)²]
Dividing through by h, we have
1/13 = 2/47 ÷ [1 - (h/47)²]
Cross-multiplying, we have
1/13 = 2/47 ÷ [1 - (h/47)²]
1 - (h/47)² = 2/47 × 13
1 - (h/47)² = 26/47
(h/47)² = 1 - 26/47
(h/47)² = (47 - 26)/47
(h/47)² = 21/47
Taking square-root of both sides, we have
h/47 = √(21/47)
Cross-multiplyng, we have
h = √(21/47) × 47
h = √(21 × 47)
h = √987
h = 31.42 ft
The height of the pole above the level of the observer's eyes is 31.42 ft
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Which sentence uses correct subject-verb agreement?
A. The river through our cities are polluted
B. Mountains in Colorado is beautiful.
C.The book about South American rivers is overdue.
D. The trees around our state is blooming.
Answer: C
Step-by-step explanation: the guy up top is correct:)
consider the following :
[tex]f(x) = {x}^{2} - x + 2 \div x - 2 = x + 1 + 4 \div x - 2[/tex]
which polynomials do you think we should call the divisor,dividend,quotient and remainder ?
Step-by-step explanation:
remainder=4
quotient=x+1
divisor=x-2
dividend=x^2 -x +2
2x-32=12
means they spent how much
Answer:
22
Step-by-step explanation:
What is 3 4/5÷(−1 1/10)?
Write the answer as a mixed number in simplest form.
Write 2 over 5 as a percent.
Answer:
40%
Step-by-step explanation:
2/5 = 40/100 = 40%
Find the equation of a line that passes through the point (2,5) and has a gradient of 2. Leave your answer in the form y = m x + c
Answer:
y=2x+1
Step-by-step explanation:
y-5/x-2=2
2x-4=y-5
y=2x+1
Henry is investing at a continuously compounded annual interest rate of 4.4%. How many years will it take for the balance to triple? Round your answer up to the nearest whole number, and do not include units in your answer.
The number of years it would take the amount to triple is 25 years.
The formula that would be used to determine the number of years it would take the balance to triple is:
FV = PV x [tex]e^{r}[/tex]N
Where:
n = number of years fv = future value PV = present value e = 2.7182818 r = interest rate3 = [tex]e^{0.044}[/tex]N
Take the log of both sides
log(3) / log(e) / (0.044) = 25 years
A similar question was answered here: https://brainly.com/question/7133042
pls help the will mean the world
Answer:
A: the area of the walls that are being painted
C: the cost per gallon of different paints
F: the number of square feet that can be painted per gallon of paint
Step-by-step explanation:
On a family trip to Oman, Tarek drove 300 km in 5 hours. This is an example of a unit rate or a rate? Please tell the correct answer.
Answer:
300 km in 5 hours is the rate
unit rate is how much in one unit
in this case the unit is one hour
60km / hour
C plus 3/8 equals 1 1/3 what does C equal
ASAP
Answer:
Exact Form:
C=23/24
Decimal Form:
C=0.9583
Step-by-step explanation:
Elliot ran 4 laps in 209.2 seconds. If he ran at the same
speed for each lap, what was his time for each lap?
Answer: 52.3 seconds
Step-by-step explanation:
209.2 divided by 4
which is 52.3 seconds
Simplify 10^9 ÷ 10^7
Answer:
10^2
Step-by-step explanation:
10^9/10^7 is the same as 10^9*10^-7 if you multiply two same bases you can add there exponents. So, 9+(-7)=2. So, it’s 10^2
Answer:
100
Step-by-step explanation:
Hope it helps
Express 405 1/3 in simplest radical form.
Answer:
3 cube root of 15
Step-by-step explanation:
theres your simple radical form
8(152/3) is 405 1/3 in simplest radical form.
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
405 1/3 is equivalent to (405*3 + 1)/3 = 1216/3.
To express 1216/3 in simplest radical form, we can first simplify it by dividing both the numerator and denominator by their greatest common factor, which is 8.
1216/3 = (8*152)/3 = 8(152/3)
Now, we can see that 152/3 cannot be simplified any further, so the simplest radical form of 405 1/3 is: 8(152/3)
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A rectangular poster has a area of 504 centimeters. The width of the poster is 14 centimeters. How long is the poster?
Answer:
36 cm
Step-by-step explanation:
504/14=36
Hey everybody! Not a super hard question here! Anybody think they can help me out?
Identify the correct domain and range.
Answer
B, the second choice
Step-by-step explanation:
the domain is defined as all possible x values of a function and the range is defined as all possible y values, so the domain would be all real numbers since x can be any value, and the range cannot be more than 3, since y=3 is the vertex of the parabola.
Graph the equation y= -1/2x. Please help
Answer:
put one point b the negative -1 and another point by the 2 going long ways ------
Step-by-step explanation:
Frank is going to buy some ties
at $7.50 per tie and some shirts
at $18.50 per shirt. If he buys
twice as many ties as shirts and
spends no more than $205, what is the greatest number of shirts he
can buy? [All prices include tax.]
Answer:
6 shirts
Step-by-step explanation:
The cost of a shirt and 2 ties is ...
$18.50 +2(7.50) = $33.50
For $205, Frank can buy $205/$33.50 = 6.12 sets of shirt and ties.
Frank can buy 6 shirts (and 12 ties) for an amount less than $205.
_____
Additional comment
Frank's cost will be $201 for that purchase.
You may use a calculator for this item,
Zach, Kolby, and Peyton are investing a total of $360,000 to open a cottee shop Their investments are in the radio
1:2:0.5, respectively
How much has Zach invested, in dollars?
Enter your answer in the space provided
Based on the investment ratio and the amount invested, the amount that Zach invested is $102,857.14.
First thing to do is to add up the numbers in the ratio:
= 1 + 2 + 0.5
= 3.5
The amount that Zach invested is:
= Zach's ration/ Sum of ratio x Amount invested
= 1 / 3.5 x 360,000
= $102,857.14
In conclusion, Zach invested $102,857.14.
Find out more at https://brainly.com/question/17061956.
A bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which events have a probability greater than One-fifth? Select three options. choosing 1 blue marble choosing 1 red marble choosing 1 red marble, not replacing it, and then choosing a blue marble choosing 1 white marble, replacing it, and choosing another white marble choosing 1 white marble
hi i know i'm late but might as well add my answer!
here's your answer: B D E or
B.choosing 1 red marble
D.choosing 1 white marble, replacing it, and choosing another white marble
E.choosing 1 white marble
hope i helped
Answer:
b d and e
Step-by-step explanation:
ya
$10.25 per hour x 25 hours round to the nearest cent
Answer:
256.25
Step-by-step explanation:
$10.25 not taxed x 25
write an absolute value equation representing all numbers x whose distance from 0 is 6 units
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST
Which inequality represents this sentence?
A number is no less than 48.
n < 48
n > 48
n < 48
n>48
The inequality that can be used to represent the information that a number is no less than 48 will be n > 48.
Inequality simply means a mathematical expression that is used in which the sides aren't equal to each other.
It should be noted that the expression that a number is no less than 48 means the number is greater than 48. Therefore, the inequality is n > 48.
Read related link on:
https://brainly.com/question/25701252
Answer: The correct answer is n≥48
Step-by-step explanation: Give me the brainiest
(a) A box contains 7 red balls, 6 white balls, and 7 black balls. Two balls are drawn at random from the box (with replacement of the first before the second is drawn). What is the probability of getting a red ball on the first draw and a white ball on the second
Answer:
Step-by-step explanation:
20=total marbles
7/20 × 6/20= 21/400 or 5.25%
red white
: Một khu đất 20 ha người ta trồng hai loại cây ngô và khoai. Năng suất của ngô tính theo x ha được (5-x/4) tấn trên 1 ha và năng suất của khoai tính theo y ha được (7-y/4) tấn trên 1 ha. Xác định diện tích trồng từng loại cây để sản lượng thu được là lớn nhất.
PLS HELP FIND GRADIENT PLSSS DUE TMRW GIVING BRAINLIEST FOR FIRST ANSWER
Whats the question?......................
Answer:
For a;
The answer will be 3
For b;
The answer will be -4
Step-by-step explanation:
To find the gradient of the lines, you must pick 2 points on the line and then find [tex]dy/dx[/tex]
I hope this helped!
Can I have brainliest?
Have a great day/night/afternoon!
(I already went to the other question you posted, do not worry.)
- ❤ 7272033Alt ❤
Which claim supports this graph?
A- Students Never use social media.
B- Students mostly use social media 0-3 times a day.
C- Students mostly use social media 8-11 times per day.
D- Students are not using social media enough.
Answer:
The answer is C.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Which ratio is equivalent to the given ratio? 8: 16 Select each correct answer. 16/31 1/3 1/2 12/24
[tex]8:16\implies \cfrac{8}{16}\implies \cfrac{1}{2}\implies 1:2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{16}{31}\qquad \bigotimes~\hfill \cfrac{1}{3}\qquad \bigotimes~\hfill \cfrac{1}{2}\qquad \textit{\large \checkmark}~\hfill \cfrac{12}{24}\implies \cfrac{1}{2}\qquad \textit{\large \checkmark}[/tex]
Answer:
1/2. and 12/24
they are both halves just as the ratio is half of the given number
I have more question
Answer:
you would need three wholes because each whole would represent a loaf of pumpkin bread
