Answer:
500/7=intrest rate/account savings=_________
Step-by-step explanation:
help please!!
[tex]\text{solve the following equation : }[/tex]
[tex] \sf\tan^{2}(\theta)-(1+\sqrt{3})\tan(\theta)+\sqrt{3} = 0[/tex]
Answer:
[tex] \huge \boxed{ \red{ \boxed{\begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:distribute tan(θ):
=>tan²(θ)-(tan(θ)+√3tan(θ))+√3=0
remove parentheses:
=>tan²(θ)-tan(θ)-√3tan(θ)+√3=0
so this equation is now in standard form i.e ax²+bx+c=0
we can solve by factoring as we solve quadratic equation
factor out tanθ:
=>tan(θ)(tan(θ)-1)-√3tan(θ)+√3=0
factor out -√3:
=>tan(θ)(tan(θ)-1)-√3(tan(θ)-1)=0
group:
=>(tan(θ)-√3)(tan(θ)-1)=0
separate it as two different equation:
[tex] \implies \begin{cases} \tan( \theta) - 1 = 0 \\ \tan( \theta) - \sqrt{3} = 0 \end{cases}[/tex]
add 1 and √3 to both sides to first and second equation respectively:
[tex] \implies \begin{cases} \tan( \theta) - 1 + 1 = 0 + 1 \\ \tan( \theta) - \sqrt{3} + \sqrt{3} = 0 + \sqrt{3} \end{cases} [/tex]
[tex] \implies \begin{cases} \tan( \theta) = 1 \\ \tan( \theta) = \sqrt{3} \end{cases} [/tex]
[tex] \therefore \begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} [/tex]
I need help pleaseee
Answer:
x is 103 cause it is opposite angles and y is 77 180-103 hope this helps you
Answer: x=103° y=77°
Step-by-step explanation:
Opposite angles are always the same so, as x is opposite to 103°, it would be 103° too.
To work out what y is you would have to do 180-103=77°. The reason why is because angles on a straight line always add up to 180° and you can see that 103° and y are on the same line.
Hope this helps :)
EMERGENCY!! please answer!!
EXPLAIN YOUR WORK PLZ
AJ worked 48 hours last week. He earns $15.40 per hour plus overtime, at the usual rate, for hours exceeding 40 hours. What was his gross pay?
A $644.80
B$739.20
C$800.80
D$1,108.80
Answer:
D
Step-by-step explanation:
It will be $1,108.0 Because if you devide 40 by the hours, Plus the pay which is 15.40 You will get D
Juan has just opened a parking garage. His costs include employee salaries, building upkeep, computer systems, and weekly paid advertisements in local newspapers. In the first month, Juan's revenue has been very low. How can Juan reduce his costs without affecting the business's productivity and profitability?
Answer:
He can reduce advertisement expenses
Step-by-step explanation:
please help with my geometry & a step by step
Answer: 42.53
Step-by-step explanation:
iok so because we are give the two sides 19 and 14 from here we need to determine what they are concidered. 19 is on the hypotenuse, and 14 is on the adjacent. from this, we can use Soh cah toa, we are looking for h and a which gives us cah which is cosine, now we imput this into our calculator
Cos-1(14/19) this should then give you 42.53 :) hope this helps
Which statement below describes the mode of the data represented in the relative frequency table? A) The mode of the data represented in the table is blue. B) The mode of the data cannot be determined. C) The mode of the data represented
Answer:
A
Step-by-step explanation:
Mode refers to a value that appears most frequently in a data set.
For example the mode in the data set below is 3 :
1, 2,3 4,3,3,9,10
3 is the mode because it appears 3 times in the data set while the other values appear only once.
Mode is a measure of central tendency
Other measures of central tendency includes : mean and median
Relative frequency measures how often a value appears relative to the sum of the total values. The relative frequency with the highest relative frequency value occurs the most
Blue has the highest relative frequency value
Use the image to answer the question below.
Which equation best represents circle A?
Answer: the answer is A
Step-by-step explanation:
Rectangle A'B'C'D' is a dilation of rectangle ABCD.'
What is the scale factor?
Enter your answer in the box.
I need help ASAP!
Answer:
4 is your answer
Step-by-step explanation:
Solve for g
–0.3g + 2.86 = –7.41 − 8.2g
Answer:
g= -1.3
hope this helps
Answer:
g= -1.3
Step-by-step explanation:
Includes pics
Kendra washes windows in an office building. She washes 25 of the windows on Monday. She washes 13 of the windows on Tuesday. What fraction of the windows remain for Kendra to wash?
Answer:
4/15
Step-by-step explanation:
1. 2x - 8 when x = 3
2. 45 - (4 . y) when y = 5
3. 32 + 2g -7 when g = 4
Answer:
2(3)-8
=-2
45-4.5
=40.5
32+2(4)-7
=33
Answer:
1.x37
2.66y
3.59g
Step-by-step explanation:
so you divied and subtract
you do the same
but add for the last
Which one should I choose?
Given:
A figure of a quadrilateral.
To find:
The measures of angle 1 and angle 2.
Solution:
The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.
We know that the diagonals of a kit are perpendicular to each other at the point of intersection.
[tex]m\angle 1=90^\circ[/tex]
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.
[tex]90^\circ+65^\circ+m\angle 2=180^\circ[/tex]
[tex]155^\circ+m\angle 2=180^\circ[/tex]
[tex]m\angle 2=180^\circ-155^\circ[/tex]
[tex]m\angle 2=25^\circ[/tex]
Therefore, the correct option is C.
You have the option to deposit $6500 into an account that pays 3.25% interest, compounded quarterly OR to deposit your money into an account that pays the same interest rate but compounds continuously. Which option yields you more money after 5 years and how much more?
Answer:
Step-by-step explanation:
Plug in the giving information, P = 4000, r = 0.06, n = 4,
and t = 5.
Use the order or operations to simplify the problem. If the
problem has decimals, keep as many decimals as possible
until the final step.
FV = 5387.42 Round your final answer to two decimals places.
In ACDE, the measure of E=90°, the measure of C=70°, and DE = 12 feet.
Find the length of CD to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
12.8 feet
solve the following equation -3(3 + 6b) = 36 +3b
Answer:
Exact Form:
b=-5/7
Decimal Form:
b=-2.142857
Mixed Number:
b=-2 1/7
I need help. Please give THE RIGHT ANSWER
the answer is in the pic
A string of lights has two blinking lights. One blinks every twelve minutes while the other blinks every forty four minutes. If they both blinked at 1pm, when is the next time they will blink again. (Find the LCM (Least Common Multiple))
Answer:
They will both blink again at 3:12 pm.
Step-by-step explanation:
As indicated by the question, the way to solve is to find the Lowest (or Least) Common Multiple of both numbers.
As such:
[tex]\text{List the factors of 12 and 44:}\\12=2*2*3\\44=2*2*11\\\\\text{Take the common factors only once and multiply them by the non-common factors:}\\2*2*3*11=132 \text{ (LCM)}[/tex]
Now knowing the LCM is 132, we convert those minutes into hours and minutes:
[tex]\frac{132}{60}=2\frac{12}{60} \text{ (2 hours and 12 minutes)}[/tex]
Add this to the original time:
[tex]1:00\text{ pm } + \text{ }2:12 \text{ }= \text{ }3:12\text{ pm}[/tex]
If x = 3 units, y = 6 units, and h = 5 units, find the area of the parallelogram shown above using decomposition.
Answer:
C. 30 square units
Step-by-step explanation:
Sana makatulong
Write the equation of a line that is parallel to the given line and passes through the given point.
y=1/3x+1 (-3,4)
Answer:
[tex]y=\frac{1}{3}x +5[/tex]
Step-by-step explanation:
Linear equations are typically formatted in slope-intercept form:
[tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
Parallel lines will always have the same slope. Therefore, this line will also have a slope of [tex]\frac{1}{3}[/tex]. Plug this into our equation:
[tex]y=\frac{1}{3} x+b[/tex]
2) Determine the y-intercept (b)
To solve for the y-intercept (b), plug the given point (-3,4) into our equation and isolate b.
[tex]4=\frac{1}{3}(-3)+b\\4=\frac{-3}{3}+b\\4=-1+b[/tex]
Add 1 to both sides
[tex]4+1=-1+b+1\\5=b[/tex]
Therefore, the y-intercept is 5. Plug this back into our original equation with the slope:
[tex]y=\frac{1}{3}x +5[/tex]
I hope this helps!
plssss help meeee it's due today
Answer: use math papa.com
Step-by-step explanation:
Find the difference. Type your answer in standard form
[tex](5n - 2) - (3n - 8) \\answer = 2n + 6[/tex]
What is the circumference of the following circle when diameter = 9 cm
Answer:
The answer is C≈28.27cm
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·9≈28.27433cm
Answer:
diameter of 9
radius 4.5
4.5 x 3.14= 14.13
ignore this- the other person got it right. I messed up and can't delete it. Sorry!
Find the value of x and y in the given parallelogram
Answer:
Step-by-step explanation:
9y-4 = 50
9y = 54
y= 6
9y-4+7x+xy = 180
9(6)-4+7x+6x= 180
54-4+13x = 180
13x+50 = 180
13x = 130
x = 10
HELP PLZ AGAIN. Same material. It is still timed. Will give 75 pts and brainly. This is vital to my math grade. Time is on the essence and my math grade is at stake if I do not pass this. I need Slope Intercept form for the equation. HELP HELP HELP PLZ.
Answer:
m= (-9+5)/5-3
Step-by-step explanation:
I just learned this and the equation is
m=(y2-y1)/x2-x1
so good luck brotha
Answer:
b(y-intercept)=(0,1) and M(slope)=-2
Step-by-step explanation:
use the slop formula and the slope intercept form to find the slope and y intercept. slope -2. y-intercept (0,1)
with that information, the equation would be y=mx+b. y=-2x+(0,1)
If point H(-6, 2) is translated 4 units up and 3 units right, what are the
coordinates of the translated image?
Answer: H(-3 , 6)
X increase is horizontal
Y increase is vertical
What are the distances from the point (x,y) to the focus of the parabola and the directrix, select two answers
Answer:
3,5
Step-by-step explanation:
axis
I need help on this homework
Can someone please help
Answer:
b
Step-by-step explanation:
it might be wrong tho-
Please Help ! ill give you brainlist pleaseeee i don't wanna fail I wanna make my mom proud please .
Answer: 1) 8x + 2 = 90 1a. 11 2. 13x-10= 133 2a. 11
Both solve for 11.
Step-by-step explanation: 1) they’re both the same measure so they equal each other
Subtract 2 from each side 8x = 88 and x is 11
13x - 10 = 133 they’re both the same measures so they equal each other.
Add 10 to both sides because it’s already negative and 13x = 143 and you get 11
Answer:
11 for both
Step-by-step explanation:
A piece of granite with a volume of 40 cm^3 has a mass of 108g. What is the mass of a piece of granite the volume of which is greater by 35 cm^3?
Answer:
The mass of the piece of granite with volume of 75 cm^3 is 202.5 grams.
Step-by-step explanation:
Let
m = the mass of a piece of granite whose volume is: 40 + 35 = 75 cm^3 (greater by 35 cm^3)
Since Density = Mass / Volume and we are talking about pieces of the same material (same density) we can write:
m/75 = 108/40
m = 202.5 g