Answer:
D
Step-by-step explanation:
Using the cosine ratio and the exact value
cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{n}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2BC = n[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
BC = [tex]\frac{n\sqrt{2} }{2}[/tex] → D
What's the answer to 8m - 14=3m+46
Answer:
Simplifying
8m + -14 = 3m + 46
Reorder the terms:
-14 + 8m = 3m + 46
Reorder the terms:
-14 + 8m = 46 + 3m
Solving
-14 + 8m = 46 + 3m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-3m' to each side of the equation.
-14 + 8m + -3m = 46 + 3m + -3m
Combine like terms: 8m + -3m = 5m
-14 + 5m = 46 + 3m + -3m
Combine like terms: 3m + -3m = 0
-14 + 5m = 46 + 0
-14 + 5m = 46
Add '14' to each side of the equation.
-14 + 14 + 5m = 46 + 14
Combine like terms: -14 + 14 = 0
0 + 5m = 46 + 14
5m = 46 + 14
Combine like terms: 46 + 14 = 60
5m = 60
Divide each side by '5'.
m = 12
Simplifying
m = 12
Answer:
m = 12
Step-by-step explanation:
We want to isolate "m" on one side of equation to see what it is equal to.
Step 1.
Add 14 to both sides of the equation to get 8m = 3m + 60
Step 2.
Subtract 3m from both sides to get 5m = 60
Step 3.
Divide both sides by 5 to get m = 12.
Wayne earns 7%
simple interest for 5
years on $3500. What
is the total amount in
the account?
Answer:
49
Step-by-step explanation:
3500 divided by 5 equals 700
700 times 7% equals 49
I NEED HELP FOR ALL 4 OF THOSE! THAT’S IT! PLZZZZ AND TY
Answer:
Step-by-step explanation:
Given equation of a straight line is,
y = -4 - 2x
Domain of the line (x) → {-3, -2, -1, 0, 1}
Therefore, range for the given set of domain will be,
Range (y) → {2, 0, -2, -4, -6}
[By substituting the value of x in the given equation we get the value of y]
Set of scatter points are,
(-3, 2), (-2, 0), (-1, -2), (0, -4), (1, -6)
Now we plot these points to get the discrete graph as attached.
On a bike trip, you traveled 21 miles on the first day, 19 miles on the second day, and n miles on the thirdday.
a. Write an expression for the number of miles traveled all three days.
b. Simplify the expression.
PLZ DONT WASTE MY POINTS
Answer:
21 + 19 + x
40 + x
Step-by-step explanation:
well you would just add up 21 + 19 + x. that would be 40 + x. That would be the number of miles
Select all the correct measurement conversions.
A. 8 pints = 16 fluid ounces
B. 5 feet = 60 inches
C. 2 tons = 4,000 pounds
D. 5 meters = 5,000 centimeters
E. 2 days = 2,880 minutes
I need help finding the surface area of this pyramid.
Answer:
451.92
Explanation:
(Please tell me if this is wrong, or if you want the equation or something)
please help me
[tex].[/tex]
Shaan’s math homework scores for the semester are 90, 85, 98, 60, 84, and 78. Shaan’s teacher said she would drop the lowest homework score when calculating grades. How does the mean of Shaan’s actual math scores compare to the mean of the scores when the lowest one is dropped?
a
The final mean is the same as the original.
b
The relationship cannot be determined.
c
The final mean is lower than the original.
d
The final mean is higher than the original.
Help plez c:
Answer: D the final mean is higher than the original
Step-by-step explanation:
90+85+98+60+84+78/6= 82.5 as the original mean
dropping 60 which is the lowest grade means 90+85+98+84+78/5=87 which means the new mean is 87 which is greater than the original mean of 82.5
So the answer is D
HELP ASAP THIS IS ALR LATE-
Answer:
C. A parallelogram, and then rectangle
Dan took out a 24-year loan for $111,000 at an APR 0f 7.7%, compounded monthly, while Forrest took out a 24-year loan for $96,000 at an APR of 7.7%, compounded monthly. Who would save more by paying off his loan 13 years early?
Answer: Dan Would save more Since he has $15,000 more in principal.
Answer: he would save15,000
Step-by-step explanation:
1/3+ blank =3/4 plsssss help
Answer:
= 5 /1 2
Step-by-step explanation:
can anyone help me with this question please?
Answer:
you didn't add a question
Step-by-step explanation:
Tickets for the CTA train cost $0.75 for students and $3.25 for
chaperones. If a school trip has a total of 50 people, how many students
and chaperones are on the trip? *
help i need this asap
HINT: Try graphing your equations or multiplying the cost equation by 4.
what the slope and the y intercept for-12x+4y=-8
Answer:
slope is -3
y-intercept is -2
Step-by-step explanation:
put into slope-intercept form which is y = mx + b where 'm' is slope and 'b' is the y-intercept
12x + 4y = -8
4y = -12x - 8
y = -12/4x - 8/4
y = -3x - 2 (simplified)
Chris pays a fee if the bank balance falls below $10 on the statement dae. Prior to the statement date her balance was -3.46. Then Chris made a deposit (d) in time so she does not have to pay the fee.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Balance prior to statement date = - 3.46
Minimum bank balance to avoid penalty = $10
The amount of deposit, d made in time in other to avoid penalty fee?
Minimum amount that most have been deposited, d :
Balance prior to statement + d ≥ minimum bank balance to avoid penalty
-3.46 + d ≥ 10
d ≥ 10 + 3.46
d ≥ 13.46
Hence, the minimum amount that must have been deposited to avoid penalty is 13.46
1.08 CREATE TRIGONOMETRIC MODELS
A cosine function has a period of 4, a maximum value of 20, and a minimum value of 0. The function is not a reflection of its parent function over the x-axis.
Which function could be the function described?
Answer:
○ [tex]\displaystyle f(x) = 10cos\:\frac{\pi}{2}x + 10[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{f(x) = 10sin\:(\frac{\pi}{2}x + \frac{\pi}{2}) + 10} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 10 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-1} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{\pi}{2}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi \\ Amplitude \hookrightarrow 10[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 10 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi \\ Amplitude \hookrightarrow 10[/tex]
The cosine graph in the photograph on the right is the OPPOCITE of the cosine graph in the photograph on the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
**Moreover, both graphs have the same maximum and minimum value, but we are looking for the equation that will not reflect over the midline of [tex]\displaystyle y = 10,[/tex]which means we do NOT want a negative in front of the amplitude value, therefore we have this equation:
[tex]\displaystyle f(x) = 10cos\:\frac{\pi}{2}x + 10[/tex]
If you are having trouble figuring out which graph is which, just remember that the parent function of [tex]\displaystyle y = cos\:x[/tex]never touches the origin unless it shifts one unit south or gets reflected from somewhere. In this case, the photograph on the left touches the origin because of a reflection [negative symbol], therefore the photograph on the right matches the equation selected.
I am delighted to assist you at any time.
The correct function is,
⇒ y = 10 cos (π/2x) + 10
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
A cosine function has a period of 4.
Since, The period is 4.
Hence, The relationship between period and b (the coefficient of the independent variable of the cosine function) is, (period) =(2π/b).
Hence, We get;
⇒ 4b = 2π
⇒ b = 2π/4
⇒ b = π/2
So, Now our equation y = a cos (bx) + c becomes as;
⇒ y = 10 cos (π/2x) + 10
Thus, The horizontal center line of this cosine curve is y = 10. The maximum value of the curve is 20, which is 10 + 10, and the minimum value is 0, which is 10 - 10.
Learn more about the function visit:
https://brainly.com/question/28793267
#SPJ2
m - 4.21 = 87.654 What is the value of m
Answer:
91,864
Step-by-step explanation:
you welcome
thank god me
also youre
self:):D
Help!!! The picture!
Answer:
>
Step-by-step explanation:
open means its not equal to and it pointing to the right so your inenquality has to point to the right
Find the area of each object. Round each answer to the nearest tenth, if necessary.
Answer The small triangles each have an area of 12m^2 and the big rectangle had an area of 80m^2. This would mean that the combined area is 104m^2
Step-by-step explanation: The rectangle shape can be found by multiplying 8 by 10 to get 80m^2. The two triangles can be found by multiplying 4 (half of 8) by 6 and then dividing it by two. This would mean that the small triangles each have an area of 12.
S
What is the solution to this system of equations?
3x + y = 2
2 + 3y
-
--18
re
O (2,-6)
ware
O (3,-7)
(-6, 2)
aphing
O (-7,3)
Answer:
-7,3
Step-by-step explanation:
look at the pictire
Morning Donuts has 92 donuts for sale, including 8 jelly-filled donuts. What is the probability that a randomly selected donut will be a jelly-filled donut? Write your answer as a fraction or whole number.
Answer:
Probability [selected donuts a jelly-filled donut] = 2 / 23
Step-by-step explanation:
Given:
Total number of donuts = 92
Number of jelly-filled donuts = 8
Find:
Probability [selected donuts a jelly-filled donut]
Computation:
Probability [selected donuts a jelly-filled donut] = Number of jelly-filled donuts / Total number of donuts
Probability [selected donuts a jelly-filled donut] = 8 / 92
Probability [selected donuts a jelly-filled donut] = 2 / 23
How many tissues does a carrot contain?
Explain your reasoning.
Answer:
khv-hjsb-qwc. join in meet all
Leo is running a 5% mile race. It took him 2 minutes to run the first mile of the race. If Leo continues running at the
same pace, how many more minutes will it take him to finish the race?
Answer:
8 minutes
Step-by-step explanation:
Leo has already run 1 mile, leaving him with 4 more to finish the race. At 2 minutes a mile (a ridiculously impressive pace, considering the world record mile time is just a little under 3:45), it will then take him 4 x 2 = 8 minutes to cross the finish line.
Find the volume of the cone below. Use 3.14 for A. Round your answer to the nearest tenth.
3
r = 1.5
Answer:
D) 7.1 units³
Step-by-step explanation:
V = (3.14)(1.5)²(3/3)
= (3.14)2.25 = 7.1
which function is equivalent to
f(x) = -4 (x+7)^2 - 6
Answer:
A
Step-by-step explanation:
-4(x^2+14x+49)-6
-4x^2-56x-196-6
-4x^2-56x-202
Answer:
F(x)=-4x^2 - 56x - 202
Step-by-step explanation:
What is the area of this figure! Pls help!
Answer:
count all the boxes it covers(that is your area)
answer : 27
Step-by-step explanation:
Please help I need this ASAP please
Answer:
235 sq. cm
Step-by-step explanation:
Split into three different shapes
18*3=54
15*6=90
13*7=91
54+90+91=235
Can someone answer this
If you can score 54 points in 6 minutes, how many points are you scoring in one minute? please help all my points.
Answer:
Step-by-step explanation:
54 / 6= 9
9 points per minute
9 score is the answer ok plz give me brilliant
please help! i need answers
Answer:
I think 90°
Step-by-step explanation:
I was not good in maths that's why I'm not sure about this answer