Answer:
109.3 ft
Step-by-step explanation:
Remembering SOHCAHTOA
We would be using sin
sin = opposite / hypotenuse
sin 40 = x / 170
0.6428 = x/170
x = 0.6428 x 170 = 109.3 ft
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
360 cubic inches (remember your units!)
Step-by-step explanation:
the formula for volume of a rectangular prism is length times width times height times depth so you have to do 8 times 5 times 9 witch is 360 cubic inches
Barnes and Noble had a $1.00 annual dividend during 2008. If you owned 500 shares
of Barnes and Noble, how much did you receive on a quarterly dividend check?
Answer:
Is the annual dividend 1 dollar per share? Because if so, that means you would get 500 dollars yearly, and then divide that by 4 to get quarterly, making the answer 125 dollars in the quarterly check.
The amount that you receive on a quarterly dividend check will be $125.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Barnes and Noble had a $1.00 annual dividend in 2008. If you owned 500 shares of Barnes and Noble. Then the cost of the 500 shares will be
⇒ 500 x $1
⇒ $500
Then the amount that you receive on a quarterly dividend check will be
⇒ $500 / 4
⇒ $125
The amount that you receive on a quarterly dividend check will be $125.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
What is the range of {(0, 2), (1, 3), (2, 4), (1,4)}
Answer:
Mean: 2.125
median: 2
range: 4
Please help!!! Will give brainliest to the first correct answer!
Answer:
a. (-4,8)
Step-by-step explanation:
the two lines intersect at this point
Which expression is equivalent to 4f2/3 ÷ 1/4f ?
Answer:
[tex] \frac{16 {f}^{3} }{3} [/tex]Step-by-step explanation:
[tex] \frac{4f^{2} }{3} \div \frac{1}{4f} [/tex]
[tex] \frac{4 {f}^{2}}{3} (4f)[/tex]
[tex]4 \frac{4 {f}^{2} }{3} f[/tex]
[tex] \frac{16 {f}^{2} }{3} f[/tex]
[tex] \frac{16 {f}^{3} }{3} [/tex]
Hope it is helpful....What are the measures of ∠1, ∠2, and ∠3? Enter your answers in the boxes
Kevin will take 4 math tests this term. All of the tests are worth the same number of
points. After taking the first 3 tests, his mean test score is 88 points. How many points
does he need on his last test to raise his mean test score to 90 points?
Answer:
96
Step-by-step explanation:
Total of 4 test at 90
90 * 4 = 360
Current total
88 * 3 = 264
Score needed
360 - 264 = 96
Answer:
96
Step-by-step explanation:
this is how i solved it:
88 x 3 = 264 ( the sum of the three test score )
now i just gotta look for a number to add to 264 that will give me 90 (the wanted mean score) if i divide the sum by 4 (the four test scores).
so the equation would be:
(264 + x) / 4 = 90
264 + x = 360
x= 96
hi :)
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Evaluate: 4x(5+3)=8-2
A 2
B 8
C 12
D 15
Answer:
The answer to the problem is 15.
HELP DUE IN 10 MINS!
Will GIVE BRAINLEST
Answer:
AB= 5.582
Step-by-step explanation:
Centeral angle /360° = AB length/2 pi r
[tex] \frac{80}{360} = \frac{ab}{4} \\ ab = 5.582[/tex]
Answer:
5.6
Step-by-step explanation:
the length of arc AB =
80/360 × 2× 3.14×4
= 2/9 × 3.14 × 8
= 5.58 => 5.6
Find a formula for dy/dx if sin x + cos y + sec(xy) = 251
Answer:
[tex]\displaystyle \frac{dy}{dx} = \frac{-cos(x) - ysec(xy)tan(xy)}{-sin(y) + xsec(xy)tan(xy)}[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Algebra I
FactoringCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Trig Differentiation
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Implicit Differentiation
Step-by-step explanation:
Step 1: Define
Identify
sin(x) + cos(y) + sec(xy) = 251
Step 2: Differentiate
[Implicit Differentiation] Trig Differentiation [Chain Rule]: [tex]\displaystyle cos(x) - sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = 0[/tex] [Subtraction Property of Equality] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex] terms: [tex]\displaystyle -sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = -cos(x)[/tex][Distributive Property] Distribute sec(xy)tan(xy): [tex]\displaystyle -sin(y)\frac{dy}{dx} + ysec(xy)tan(xy) + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x)[/tex][Subtraction Property of Equality] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex] terms: [tex]\displaystyle -sin(y)\frac{dy}{dx} + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x) - ysec(xy)tan(xy)[/tex]Factor out [tex]\displaystyle \frac{dy}{dx}[/tex]: [tex]\displaystyle \frac{dy}{dx}[-sin(y) + xsec(xy)tan(xy)] = -cos(x) - ysec(xy)tan(xy)[/tex][Division Property of Equality] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex]: [tex]\displaystyle \frac{dy}{dx} = \frac{-cos(x) - ysec(xy)tan(xy)}{-sin(y) + xsec(xy)tan(xy)}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e
A(t) = 110000(1 + 0.06)2025
I need help wit this
What is the value of x?
Enter your answer in the box.
Step-by-step explanation:
which class are you
just to confirm
Help me find the mean mode range median
Answer:
Mean=2.53
median=2
mode=2
range=3
Step-by-step explanation:
1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4
MEAN
Add up all data values to get the sum
Count the number of values in your data set
Divide the sum by the count
38/15=2.53
MEDIAN
Arrange data values from lowest to the highest value
The median is the data value in the middle of the set
If there are 2 data values in the middle the median is the mean of those 2 values.
MODE
Mode is the value or values in the data set that occur most frequently.
RANGE
18-15=3
The five members of the Garcia family each buy train tickets. During the train ride, each family member buys a boxed lunch for $6.00. If the total cost of the trip is $240, what is the price of each train ticket? Show me the equation and show me the steps to solve it and finish with a sentence describing what a train ticket costs.
Answer:
A train ticket costs $42
Step-by-step explanation:
5x + 30 = 240 (6 * 5 = 30, cost of lunch times 5 members of family)
5x = 240 - 30
5x = 210
x = 42
A train ticket costs $42.
1. what is the exact demical value of 225/16?
2. what is the exact decimal value of 77/12?
Answer:
14.0625 = [tex]\frac{225}{16}[/tex]
6.41666666666... = [tex]\frac{77}{12}[/tex]
Hope that this helps!
Find the simple interest earned for the account
$300 at 13% annual interest for 9 years
9514 1404 393
Answer:
$351
Step-by-step explanation:
Use the simple interest formula for this.
I = Prt
where P is the invested amount at annual rate r for t years.
Using your values, we find the interest to be ...
I = $300·0.13·9 = $351
The account will earn #351 in interest over 9 years.
6g = 48
g=?
What does g=?
Answer:
8
Step-by-step explanation:
6g = 48
/6 /6
divide 6 by both sides
g = 8
hope this helped!
HELPPPP!!!!! Please
Answer:
180 D
Step-by-step explanation:
find the value of sin30/cos^(2)45 , tan^(2)60+3cos90+sin0
Answer:
according to me the ans is 3.
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
someone help..thanks:)
Answer:
Step-by-step explanation: hope u like that cus i sike that C?
Answer:
B looks like a 180 degree angle cause its js a straight line and isnt curved or bent. Brainliest plz?
Step-by-step explanation:
Can someone help me with this question?
Answer:
number 3 sir
Step-by-step explanation:
I need answer Immediately pls!!!!!!!
Answer:
x = 4.4
Step-by-step explanation:
Flat cost = $57.5/month
Cost of 1GB = $4
But Aubrey wants to keep her bill at $75.1/month.
Let 'x' be the number of GBs she can use while staying within her budget.
So, the equation will be → 4x + 57.5 = 75.1
Now, solve the equation :-
Substract both the sides from 57.5[tex]=> 4x + 57.5 - 57.5 = 75.1 - 57.5[/tex]
[tex]=> 4x = 17.6[/tex]
Divide both the sides by 4[tex]=> \frac{4x}{4} = \frac{17.6}{4}[/tex]
[tex]=> x = 4.4[/tex]
i really need help!! please! 10 points
Answer:
48°
Step-by-step explanation:
The angle CRS looks like a "L" shape, meaning that both lines are perpindicular to each other, resulting in a right angle (which is 90°)
90° + 42° = 132°
180° - 132° = 48°
Answer:
<RCS = 48 degrees
Step-by-step explanation:
I'm pretty sure that is a right triangle
180-90-42=48
can someone please help me
Answer:
yeah what you need help with
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEE im confused
Answer:
1.B,C,D
2.A,D,E
I don't really know how to explain it to you but thats your answer :D
Find the exact value, without a
calculator.
710
6
sin
2
tan
12
6
2
7Tt/6
COS
Answer:
[tex]-2 -\sqrt{3}[/tex]
Step-by-step explanation:
First consider numerator
[tex]sin \frac{\frac{7\pi}{6}}{2} = sin \frac{7\pi}{12}= sin (\frac{\pi}{4} + \frac{\pi}{3})[/tex]
Using the formula : sin (A + B) = sin A cos B + cos A sin B
[tex]sin \frac{\pi}{4} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{4} = \frac{\sqrt{2} }{2}\\\\sin \frac{\pi}{3} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{3} = \frac{1}{2}[/tex]
[tex]sin(\frac{\pi}{4} + \frac{\pi}{3}) = sin \frac{\pi}{4} \cdot cos \frac{\pi}{3} + cos \frac{\pi}{4} \cdot sin \frac{\pi}{3}[/tex]
[tex]=\frac{\sqrt{2} }{2} \cdot \frac{1}{2} + \frac{\sqrt{2} }{2} \cdot \frac{\sqrt{3} }{2} \\\\= \frac{\sqrt{2} }{4} + \frac{\sqrt{6} }{4}\\\\=\frac{\sqrt{2} +\sqrt{6} }{4}[/tex]
Second consider denominator
[tex]cos \frac{\frac{7\pi}{6}}{2} = cos \frac{7\pi}{12}= cos (\frac{\pi}{4} + \frac{\pi}{3})[/tex]
Using the formula : cos (A + B) = cos A cos B - sin A sin B
[tex]sin \frac{\pi}{4} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{4} = \frac{\sqrt{2} }{2}\\\\sin \frac{\pi}{3} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{3} = \frac{1}{2}[/tex]
[tex]cos(\frac{\pi}{4} + \frac{\pi}{3}) = cos \frac{\pi}{4} \cdot cos \frac{\pi}{3} -sin \frac{\pi}{4} \cdot sin \frac{\pi}{3}[/tex]
[tex]=\frac{\sqrt{2} }{2} \cdot \frac{1}{2} - \frac{\sqrt{2} }{2} \cdot \frac{\sqrt{3} }{2}\\\\=\frac{\sqrt{2}}{4} - \frac{\sqrt{6}}{4}\\\\= \frac{\sqrt{2} -\sqrt{6} }{4}[/tex]
Therefore,
[tex]tan \frac{7\pi}{12} = \frac{sin \frac{7\pi}{12}}{cos\frac{7\pi}{12}}[/tex]
[tex]= \frac{\frac{\sqrt{2} +\sqrt{6} }{4}} {\frac{\sqrt{2} -\sqrt{6} }{4} }\\\\=\frac{\sqrt{2} +\sqrt{6} }{4} \times \frac{4 }{\sqrt{2} -\sqrt{6}}\\\\=\frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} -\sqrt{6}}[/tex]
Either we can stop here or Rationalize the denominator:
[tex]\frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} -\sqrt{6}} \times \frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} +\sqrt{6}} = \frac{(\sqrt{2} +\sqrt{6})^{2} }{(\sqrt{2})^2 -(\sqrt{6})^2} = \frac{2 + 6 +2\sqrt{12} }{2-6} = \frac{8+2\sqrt{12} }{-4} = \frac{8+ 4\sqrt{3} }{-4} = -2-\sqrt{3}[/tex]
3 A circle centered at the origin has a radius
of 7 units. The terminal side of
a 210 degree angle intercepts the circle in
Quadrant III at point C. What are
the coordinates of point C?
Step-by-step explanation:
x = 7 cos 210 = 7×(-½√3) = -3.5√3
y = 7 sin 210 = 7×(-½) = -3.5
point C (-3.5√3 , -3.5)