Answer:
$16.10
Step-by-step explanation:
All you have to do is do 80.50/5 since if they all cost the same amount, and since there are 5. Anyway 80.50/5 is 16.1, or $16.10.
The diagram shows triangle ABC. Calculate the length of AC
Given:
In triangle ABC, AB=8.2 cm, C=13.5 cm and angle A= 81 degrees.
To find:
The length of AC.
Solution:
According to the Law of Sines:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
Using Law of Sines, we get
[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c}[/tex]
[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin C}{8.2}[/tex]
[tex]\dfrac{\sin (81^\circ)\times 8.2}{13.50}=\sin C[/tex]
[tex]\sin^{-1}\dfrac{\sin (81^\circ)\times 8.2}{13.50}= C[/tex]
[tex]C\approx 36.86^\circ[/tex]
Using angle sum property, we get
[tex]\angle A+\angle B+\angle C=180^\circ[/tex]
[tex]81^\circ+\angle B+36.86^\circ=180^\circ[/tex]
[tex] \angle B =180^\circ-81^\circ-36.86^\circ [/tex]
[tex] \angle B =62.14^\circ [/tex]
Now,
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]
[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin (62.14^\circ)}{b}[/tex]
[tex]b=\dfrac{13.50\times \sin (62.14^\circ)}{\sin (81^\circ)}[/tex]
[tex]b\approx 12.08[/tex]
Therefore, the length of AC is 12.08 cm.
Solve. A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 6 mugs with coffee, how many total quarts of coffee does she need?
Answer: 3 quarts of coffee.
Step-by-step explanation:
A coffee mug can take 16 fluid ounces.
Annie needs to fill up 6 mugs so the total ounces needed for 6 mugs would be:
= 16 * 6
= 96 fluid ounces
As the answer needs to be in quarts, convert the above.
1 quart = 32 fluid ounces
96 fluid ounces = 96/32
= 3 quarts
If a person walks 14 mile in 10 minutes, how far will that person walk in one hour?
A. 1 1/4 miles
B. 1 2/4 miles
C. 1 3/4 miles
D. 2 miles
Answer:
the answer would be c
Step-by-step explanation:
the answer is 1 3/4
What is the GCF?
6x² + 24x
Answer:
6x
6x(x + 4)
Step-by-step explanation:
Both 6x^2 and 24x are divisible by 6x
In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=84°, and OP = 2.9 feet. Find the length of PQ to the nearest tenth of a foot.
Answer:
x=2.8841≈2.9 feet
Step-by-step explanation:
HELPP Which equation is related to Vx+10-1-x?
O
x + 10 = x2 + x + 1
O x + 10 = x2 + 2x + 1
O x + 10 = x2 + 1
O x + 10 = x2-1
Answer:x + 10 = x2 + 2x + 1 x + 10 = x2 + 1 x + 10 = x2 – 1.
Step-by-step explanation:
The solution is, x+10 = x^2 + 2x + 1 is the equation is related to
√x+10 - 1 = x.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
the equation is,
√x+10 - 1 = x
or, √x+10 = x+1
now, taking square on both side, we get,
x+10 = (x+1)^2
we have,
(a+b)^2 = a^2 + 2ab + b^2
so, applying that, we get,
x+10 = x^2 + 2x + 1
Hence, The solution is, x+10 = x^2 + 2x + 1 is the equation is related to √x+10 - 1 = x.
To learn more on simplification click:
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A student is solving the equation
4
(
x
−
5
)
=
−
6
x
−
7
+
2
. Which describes a first step the student could use to solve the equation correctly?
Answer:
4(x−5)=−6x−7+2
first step open bracket and add or subtract no.
4x-20=-6x-5
put common in each side
4x+6x=-5+20
10x=15
x=15/10=3/2
first one is your answer
A new Playstation game system costs $380. The tax on the system is 4%. What is the total cost of the system including tax? *
Answer:
395.2
Step-by-step explanation:
380 x 0.04 = 15.2
380 + 15.2 = 395.2
Answer:
The cost of the system including the tax is $395.20.
Step-by-step explanation:
If the tax is 4% that means that the total price will equal...
380 + (380)(0.04) = $395.20
Therefore the cost of the system including the tax will be $395.20.
So uh- here we are again
Answer:
1/6
Step-by-step explanation:
When subtracting or adding fractions, you always want the denominator (aka the bottom number of the fraction) to be the same number. Since both of your denominators are both the same, we can subtract!
2/6 - 1/6 = 1/6
Remember that you don't subtract the bottom, just the top. Hope this helped :)
PLEASE HELP NOW!!!!!!!
Answer: BC
Step-by-step explanation:
I know this because i did this one before your welcome
find the height of the triangle
8in 6in
h=
Answer:
[tex]\sqrt{55}[/tex]in.
Step-by-step explanation:
8²=3²+h²(BY P.T)
h=[tex]\sqrt{8^{2}-3^{2} }[/tex]
h=[tex]\sqrt{55}[/tex]
ADEF has vertices D(0, 2) and F(6,2). If ADEF has an area of 12 square
units, select all the possible coordinates for E.
Answer:
by using distance formula,
Ans:(6,0)
Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a weird website.
Casually puts a link to a weird website..
https://theuselessweb.com
*whistles*
Answer:
there is no solution-
Step-by-step explanation:
there's no solution because its impossible for a to have 2 different values; you see that 0.1 and 0.01 are not equal, therefore a can not be equal,, otherwise the equation would be false
find l of the following cone
Answer and Step-by-step explanation:
Pythagorean theorem
Half of 4 is 2.
2^2 + 9^2 = l^2
4 + 81 = l^2
Square root of 85 = l
#teamtrees #PAW (Plant And Water)
A popular smartphone costs about $357.50 to
make. The company sells the phone at a 64%
markup. What is the sale price for this phone?
Step-by-step explanation:
first you find 60% of 357.50 which is $214.50. Next you would add $357.50+214.50=572
so the awnser is
the sale price of a popular smart phone is $572.
Hope this helps!!
8. Is the discriminant positive, negative, or zero?
Answer: its positive !!!
Step-by-step explanation: got it wrong at first:(
Carol sliced a lemon into circular pieces to put in a bowl of punch. The piece above has a radius of 2.5cm.
I’ll get you a lot of points if you answer this!!
Answer:π(2.5)
Step-by-step explanation:
π(2.5)
Evaluate the expression when m = 5n = -2 and p= 10 p/m-n
Answer:
10/7
Step-by-step explanation:
plug in the numbers to get 10/5--2 or 10/5+2
what is the domain of the function y=√x+4?
-oo<x<oo
-4<x<oo
0<x<oo
4<x<oo
Answer:
4
Step-by-step explanation:
The domain of the function; y=√x+4 as given in the task content is; 0<x<oo.
What is the domain of the function?From the function; y=√x+4 given in the task content; it follows that the domain of the function is the set of all possible values of x.
On this note, the possible values of x from √x includes all positive numbers as any negative value of x renders the a complex number.
Read more on domain of a function;
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Rapid Rental Car charges a $55 rental fee, $20 for gas, and $0.65 per mile driven. For the same car, Capital Cars charges $55 for rental and gas and $0.75 per mile.
Answer:
200 miles
Step-by-step explanation:
Given data
Rapid Rental Car
charges a $55 rental fee
$20 for gas, and
$0.65 per mile driven
let the number of miles be x, the total charges y
y=55+20+0.65x
y= 75+0.65x----------1
Capital Cars
charges $55 for rental and gas and
$0.75 per mile.
let the number of miles be x, the total charges y
y=55+0.75x
y= 55+0.75x----------2
Required
The number of miles driven before the two Rental companies charge the same amount
equate 1 and 2
75+0.65x= 55+0.75x
collect like terms
75-55= 0.75x-0.65x
20= 0.1x
x= 20/0.1
x= 200miles
Hence the distance will be 200 miles for the charges to be the same
please answer this, I really need help
Answer:
????? I am only in first grade
Step-by-step explanation:
???????
PLEASE HELP PRE ALGEBRA EASY 10 POINTS
I need help with this question
what question?????????????????
1/4 equals Z /20 what does z equal
Answer:
5
Step-by-step explanation:
Is 5 a solution to 4 + x = 6 ? Why or why not?
Answer:
no
Step-by-step explanation:
x has to be 2 because 4+2=6
Answer:
no, because 4 + 5 = 9 not 6.
Step-by-step explanation:
the only way for this equation to be true is if x = 2.
Which functions are linear Select all that applies A) s=4r - 2 B) s=r + 10 C) s= 9r - 7 D) s=6r + 6
Step-by-step explanation:
The graph of linear function is a straight line.
General form of the linear function is -
y = a + bx
where a is the y -intercept and b is the slope.
Both a and b are constants.
Here,
x is independent variable whereas y is dependent variable.
For example -
y = 2x + 15
Evaluate
expression 4+5.23 + 3 =
Answer:
12.23
Step-by-step explanation:
4+5.23 = 9.23
9.23 + 3 = 12.23
What is 48 minutes as a fraction of one What is 48 minutes as a fraction of one hour? Give your answer as a fraction in its simplest form.hour? Give your answer as a fraction in its simplest form.
Answer:
Братан,ну я незнаю
Сорян ай донт ноу или как хз
Го ты лучше к нам перееедешь и рускому будешь учится нах тебе этот английский короче кетшей нахуй тупой жынды.
If my radius is 10ft, what is my diameter?
Answer:
31.42 ft.
I dont know if this answer is fully correct because i hate doing circles so sorry if im wrong
Step-by-step explanation:
Answer:
20 is your diameter
Step-by-step explanation:
radius is half of a diameter
I need help with #6 please help if you can
Answer:
Please find attached
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
2x + 25 + 25 = 180
2x + 50 = 180
2x = 180 - 50
2x = 130
2x / 2 = 130 / 2
x = 65