Answers
Answer:
56 degrees
Step-by-step explanation:
The tangent of any angle in a right triangle is equal to its opposite side divided by its adjacent side.
Therefore, we have the equation:
[tex]\tan x^{\circ}=\frac{15}{10}[/tex]
To isolate [tex]x[/tex], take the inverse tangent of both sides:
[tex]\tan^{-1}(\tan (x^{\circ}))=\tan^{-1}(\frac{15}{10}),\\x^{\circ}=\arctan(\frac{15}{10})=56.30993247\approx \boxed{56^{\circ}}[/tex]
*Recall [tex]\tan^{-1}(\tan x)=x, x\in (-\frac{\pi}{2}, \frac{\pi}{2})[/tex]
Related Questions
If a +b+c=9 and a square +b square +square =1 then ab+bc+ca
Answers
Answer:
ab + bc + ca = 40
Step-by-step explanation:
Using the expansion identity
(a + b + c)² = a² + b² + c² + 2(ab + bc + ca) , that is
9² = 1 + 2(ab + bc + ca)
81 = 1 + 2(ab + bc + ca) ← subtract 1 from both sides
80 = 2(ab + bc + ca) ← divide both sides by 2
40 = ab + bc + ca
Brian spends 3 5 of his wages on rent and 1 3 on food. If he makes £735 per week, how much money does he have left?
Answers
Answer :
Brian has $49 left.
Step by step explanation :
Step 1 : Find how much money Brian spends on rent and food.
First question we should be asking is what is 3/5 of 735?
Let's find that.
[tex]\frac{3}{5}[/tex] * [tex]\frac{735}{1}[/tex]
= [tex]\frac{(3)(735)}{(5)(1)}[/tex]
= [tex]\frac{2205}{5}[/tex]
= 441
We know Brian spends $441 on rent. Now we find how much he spends on food.
[tex]\frac{1}{3} * \frac{735}{1}[/tex]
= [tex]\frac{(1)(735)}{(3)(1)}[/tex]
= [tex]\frac{735}{3}[/tex]
= 245
Brian spends $245 on food.
Step 2 : Add what he spends on rent and food together.
$441 + $245 = $686
Step 3 : To find out how much money Brian has left, we subtract $686 from $735.
$735 - $686 = $49
Conclusion : Brian has $49 left.
Hope this helps, please mark brainliest if possible. Have a nice day.
−6⋅20.1x=−100
Which of the following is the solution of the equation?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
x
=
2
(
50
)
2
(
3
)
x=
log
2
(3)
log
2
(50)
x, equals, start fraction, log, start base, 2, end base, left parenthesis, 50, right parenthesis, divided by, log, start base, 2, end base, left parenthesis, 3, right parenthesis, end fraction
(Choice B)
B
x
=
10
2
(
50
3
)
x=10log
2
(
3
50
)x, equals, 10, log, start base, 2, end base, left parenthesis, start fraction, 50, divided by, 3, end fraction, right parenthesis
(Choice C)
C
x
=
10
2
(
50
)
2
(
3
)
x=
log
2
(3)
10log
2
(50)
x, equals, start fraction, 10, log, start base, 2, end base, left parenthesis, 50, right parenthesis, divided by, log, start base, 2, end base, left parenthesis, 3, right parenthesis, end fraction
(Choice D)
D
x
=
2
(
50
3
)
x=log
2
(
3
50
)x, equals, log, start base, 2, end base, left parenthesis, start fraction, 50, divided by, 3, end fraction, right parenthesis
Answers
Answer:
The answer (D)
x=log2(50/3)
Thus, [tex]x=10log_{2}\frac{50}{3}[/tex] so option (B) is the correct answer.
What is a logarithm?"A logarithm tells what exponent (or power) is needed to make a certain number, so logarithms are the inverse (opposite) of exponentiation. Just as an exponential function has three parts, a logarithm has three parts as well: a base, an argument, and an answer (also called power)".
For the given situation,
The equation is
[tex]-6(2)^{0.1x} = -100[/tex]
The equation can be expressed in logarithm as
[tex]a^{x}=b\\[/tex]
⇒ [tex]x=log_{a}b[/tex]
So, [tex]-6(2)^{0.1x} = -100[/tex]
⇒ [tex]2^{0.1x}=\frac{-100}{-6} \\[/tex]
⇒ [tex]0.1x=log_{2}\frac{50}{3}[/tex]
⇒[tex]\frac{1}{10}x=log_{2} \frac{50}{3}[/tex]
⇒[tex]x=10log_{2}\frac{50}{3}[/tex]
Hence we can conclude that [tex]x=10log_{2}\frac{50}{3}[/tex] option (B) is the correct answer.
Learn more about logarithm here
https://brainly.com/question/11848120
#SPJ2
Sum one helpppp meeeee
Answers
Answer:
Step-by-step explanation:
total cost of the meal = $120
tip = 20%
tip amount = ?
total cost of the meal with tip = ?
tip amount = tip% 0f total cost of the meal
=20/100 * $120
=$2400/100
=$24
total cost of the meal with tip = total cost of the meal without tip + tip amount
=$120 + $24
=$144
Question 1 of 10
Look at this table.
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1250
1400
1550
1700
1850
2000
2150
According to the table, how many hours of training would you
need to have a monthly pay of $2450?
Answers
Answer:
90 hours of training would you need to pay
Answer:
90hours
Step-by-step explanation:
Addition of 10 hours= Addition of 150$
an=a+(n-1)d
2450=1250+(n-1)(150)
120/15=n-1
8+1=n
n=9
and 9x10=90 (each n=10hours)
Thus:
B. 90 hours
Brianliest please
Find the area of AABC. Round your answer to the nearest tenth.
mZA = 23º, mZC = 39, b = 14.6
a. 44.5
b. 29.7
C. 49.4
d. 77.1
Answers
Answer:
the answer is 77.1
A and B are the subsets of a universal set U. If U = {1,2,3,4,5,6,7,8,9,10} A={1,2,3,5,7,9} and B ={1,2,3,6}, show that AUB complement=AΠB complement
Answers
Answer:
AUB= {1,2,3,5,6,7,9}
AnB={1,2,3}
At the start of 2014, Mike's car is worth 12000. the car depreciates by 30 percent every year. how much is his car worth in 2017
Answers
Answer:
$4,116
Step-by-step explanation:
Worth of Mike's car at the start of 2014 = $12,000
If the car is said to depreciates every year by 30% = 30/100 = 0.3
The worth of the car at the start of 2017 is what we are to determine.
This means that the car depreciated by 30% (0.3) for 3 years since 2014 (2017 - 2014 = 3 yrs)
The worth at the start of 2017 would be calculated as follows:
12,000 × (1 - 0.3)³
= 12,000 × (0.7)³
= 12,000 × 0.343
= 4,116
Worth of the car at the start of 2017 would be $4,116
Find the zeros of the function f(x) = (x + 2)(x - 3)(x + 12)
Answers
Step-by-step explanation:
f(x) = (x + 2)(x - 3)(x + 12) = 0
(x + 2)(x - 3)(x + 12) = 0
so, the zeros of the function :
=> x1 = -2
=> x2= 3
=> x3 = -12
Describe the pattern and determine what the next number in pattern 6,1,-4,-9,-14 , ?
Answers
Answer:
i subtract 5 from each term
Step-by-step explanation:
6 - 1 = 5
1 - (-4) = 5
-4 - (-9) = 5
-9 - (-14) = 5
edited:
next number: -19
-14 - 5 = -19
hope this helped!
2. Based on the cash flows shown in the chart below, compute the IRR and MIRR for Project Erie. Suppose that the appropriate cost of capital is 12 percent. Advise the organization about whether it should accept or reject the project.
Project Erie
Time 0 1 2 3 4 5
Cash Flow $12,000 $2,360 $4,390 $1,520 $980 $1,250
Answers
Answer:
IRR = -5.19%
MIRR = 3.33%
The company should reject the project
Step-by-step explanation:
Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested
IRR can be calculated with a financial calculator
Cash flow in year 0 = -$12,000
Cash flow in year 1 = $2,360
Cash flow in year 2 = $4,390
Cash flow in year 3 = $1,520
Cash flow in year 4 = $980
Cash flow in year 5 = $1,250
IRR = 5.19%
The modified internal rate of return is a capital budgeting method used to determine the profitability of an investment. The MIRR assumes that cash inflows are reinvested at the firm's cost of capital and outflows are financed at the firm's financing cost.
MIRR = (Future value of a firm's cash inflow / present value of the firm's cash outflow)^ (1/n) - 1
n = number of years
present value of the firm's cash outflow = $12,000
Future value of a firm's cash inflow
Future value of year 1's cash flow = $2,360 x (1.12^4) = $3,713.51
Future value of year 2's cash flow =$4,390 x (1.12^3) = $6167.63
Future value of year 3's cash flow =$1,520 x (1.12^2) = $1906.69
Future value of year 4's cash flow = $980 X 1.12 = 1097.60
Future value of year 5's cash flow = 1250
Add the future values together = $14,135.43
($14,135.43 / $12,000)^0.2 - 1 = 3.33%
The project should be rejected because the IRR is negative.
To find the IRR using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. After inputting all the cash flows, press the IRR button and then press the compute button.
Patty’s gymnastics class is 5
6
of an hour long. Patty practices five different skills and spends the same amount of time on each skill. How can you find how much time she spent on each skill?
Explain how to use an area model to solve the problem.
Answers
Answer:
possibly 11 hours on each which is embarrassing
the perimeter of a rectangle is 56 meters. Find the dimensions of the rectangle if they are in the ratio 1:3
Answers
Answer:
length= 7m and breadth= 21m
Step-by-step explanation:
Perimeter=56m
Perimeter of a rectangle= 2(l+ b)
Dimensions in the ratio 1:3
1:3= 1x and 3x
Take length as 1x and breadth as 3x
2(1x+3x)= 56m
2(4x)= 56
8x=56
x= 56/8 = 7m
length= 1x= 7m
breadth= 3x= 3*7 = 21m
Please mark me as brainliest
A line has the equation 3x–4y–12=0 what is the slope of this line
Answers
Answer:
The slope of this line is 3/4.
Step-by-step explanation:
Solving this equation 3x–4y–12=0 for y puts the equation into the form
y = mx + b, where m is the slope of the line.
One way of solving for 4y here is to add 4y to both sides, obtaining:
3x - 12 = 4y
Dividing all three terms by 4 yields
y = (3/4)x - 3
The slope of this line is 3/4.
7.2 cm
6 cm
15 cm
8 cm
Answers
Answer:
i need to know the answer or the question plz
hey, pls help, i'll mark brainliest if ur answer is correct
20% of the roses Annette picked from a rose garden were red. If she picked 10 red roses, how many roses did she pick from the garden?
a. 50 roses
b. 40 roses
c. 30 roses
d. 20 roses
Answers
Answer:
the answer is A
Step-by-step explanation:
20% + 20% = 40% = 20 Red roses
40% + 40% = 80% = 40 Red roses
80% + 20% = 100% = 50 Red Roses
does anyone know how to solve this?
Answers
Answer:
[tex]x=360[/tex]
Step-by-step explanation:
The inscribed angles theorem states that when given a circle, with an angle that has its vertex at the center of the circle, the measure of the angle is congruent to the measure of the arc surrounding it. One can apply this knowledge here by stating the following,
[tex]m<MON = MN\\[/tex]
Substitute,
[tex]x=2\pi[/tex]
However, this answer is in radians, it is the literal measurement. One must convert into degrees so that the answer fits the format of the question. The conversion rate to switch between radians and degrees is the following,
[tex]degree=\frac{\pi}{180}radians[/tex]
Substitute,
[tex]degree=\frac{180}{\pi}(x)\\\\degree=\frac{180}{\pi}(2\pi)\\[/tex]
Simplify,
[tex]degree=\frac{180*(2\pi)}{\pi}\\degree=360[/tex]
Answer:
x = 45°
Step-by-step explanation:
Given arc length = 2π cm
Radius, r = 8 cm
[tex]Arc \ Length = 2 \pi r (\frac{x}{360})[/tex]
[tex]2 \pi = 2 \pi \times 8 \frac{ x}{360}\\\\\frac{2 \pi}{16 \pi} = \frac{x }{ 360}\\\\\frac{1}{8} = \frac{x}{360}\\\\\frac{360}{8} = x\\\\x = 45^\circ[/tex]
If a,b, and c are three different numbers, which of the following equations has no solutions?
A. ax= bx+c
B. ax+b=ax+c
C. ax+b=ax+b
Answers
Answer:
C
Step-by-step explanation:
if you divide both sides by ax+b you get 1=1 which is not a solution for x.
part A: Which expression can be used to find the value of x in the triangle shown?
part B: write the value of x to the nearest tenth.
Answers
Answer:
D and x=11.55
Step-by-step explanation:
Please help me !!!
What is the image of (-8,-1) after a reflection over the line y = -x?
Answers
Answer:
Step-by-step explanation:
Reflection of (-8 , -1) over y = -x is (-1 , 8)
Image of (x , y) over the line y = -x is (y, -x)
Answer:
reflection on the y axis (x,y)=(-x,y)
(-8,-1)=(8,-1)
Step-by-step explanation:
hope this is helpful
Estimate the perimeter and area of the figure to the nearest whole number. Please help!!
Answers
Answer:
29 ; 37
Step-by-step explanation:
The figure is composed by a square, a rectangle, and a right triangle
The perimeter of the square is 6 units
The perimeter of the rectangle is 10 units
The triangle is composed by a side of 6 units and a side of 5 units
The third side can be find with the Pythagorean theorem
[tex]\sqrt{6^2 + 5^2} = \sqrt{36 + 25} = \sqrt{61}[/tex] = 7,81025
The total perimeter is
6 + 10 + 5 + 7,81025 = 28,81025 = 29
Area of the square = 2^2 = 4 square units
Area of the rectangle = 6 x 3 = 18 square units
Area of the triangle = (5 x 6)/2 = 15 square units
Total area = 4 + 18 + 15 = 37 square units
Which function has zeros at x = -2 and x = 5?
Answers
Answer:
f(x) = x² - 3x - 10
Step-by-step explanation:
Given zeros x = - 2 and x = 5, then the corresponding factors are
(x + 2) and (x - 5) , so
f(x) = (x + 2)(x - 5) ← expand using FOIL
= X² - 3X - 10
Answer:
f(x) = x² - 3x - 10
(option D)
Step-by-step explanation:
A leading automobile magazine has 60 pages and 4,50,000 copies are printed every month. How many pages in all are printed in the month of April?
Answers
Answer:
See the explanation below
Step-by-step explanation:
Number of months =4
Number of copies =450000
Number of pages =60
Number of copies in 4 months =450000*4
=1800000
Number of pages is
=1800000 *60
=108,000,000
Find the area of triangle.
Answers
Answer:
16cm2
Step-by-step explanation:
(1/2) × 8 ×4=16cm2
the answer is 16 cm squared
Answer:
The area is 16 cm^2
Why? Below I explain.
Step-by-step explanation:
In that triangle, there are 2 sides, so you need to use this formula:
B * H / 2
Using those values:
4 * 8 / 2 is equal to 16.
Which of the equations below represents a line perpendicular to the yaxis?
A. y= -6
B. x= 6
C. y=6x
D. y=x
Answers
Answer:
A. y=-6
Step-by-step explanation:
Using the answer, it would make a horizontal line which would be perpendicular to the y axis.
Which row in the table is the closest to the actual solution?
Answers
Answer:
0.8
Step-by-step explanation: 6 22 6 06
I plotted both sides of the equation using DEMOS graphing calculator and located the intersection at (0.779, 2.135) I found that easier than finding the delta difference of both sides of the equation for the table or solving for x.
Click an item in the list or group of pictures at the bottom of the problem and holding the button down drag it into the correct position in the answer box release mouse evaluate
Answers
Answer:
1/9
Step-by-step explanation:
0.1(repeating)
helppppppp really please.
Answers
Answer:
x ≈ 101.5
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan44 = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{98}{x}[/tex] ( multiply both sides by x )
x × tan44° = 98 ( divide both sides by tan44° )
x = [tex]\frac{98}{tan44}[/tex] ≈ 101.5 ( to the nearest tenth )
I really need help with this question as fast as possible
Answers
Answer:
-1625
Step-by-step explanation:
→ (-125) × 5 + (-125) × 8
Taking (-125) as in common,
→ (-125) × (8 + 5)
→ (-125) × 13
→ -1625
The expression
3(x+6)-x
can be simplified to the form
2x + a)
What is the value of a?
Answers
Answer:
a = 18
Step-by-step explanation:
3(x+6)-x = 2x + a
Distribute
3x +18 -x = 2x+a
2x +18 = 2x+a
Subtract 2x from each side
18 = a