Answer:
BC=[tex]\sqrt{95}[/tex]
Angle A (or BAC)=54.31466...
Angle C (or ACB)=35.68533...
Step-by-step explanation:
[tex]\frac{7}{\sin \left(\angle \:ACB\right)}=\frac{12}{\sin \left(90\right)}[/tex]
[tex]BC=\sqrt{12^2-7^2}[/tex]
[tex]\sqrt{12^2-7^2}=\sqrt{95}[/tex]
[tex]\frac{\sqrt{95}}{\sin \left(\angle \:BAC\right)}=\frac{12}{\sin \left(90\right)}\quad :\quad \angle \:BAC=54.31466[/tex]
[tex]\frac{7}{\sin \left(\angle \:ACB\right)}=\frac{12}{\sin \left(90\right)}\quad :\quad \angle \:ACB=35.68533[/tex]
Using the pythagorean theorem
[tex]AC^2=AB^2+BC^2\\BC=\sqrt{AC^2-AB^2}\\BC=\sqrt{12^2-7^2}\\BC=\sqrt{144-49}\\BC=\sqrt{95}[/tex]
[tex]sin A=\frac{BC}{AC}=\frac{\sqrt{95} }{12}\\A = sin^{-1}(\frac{\sqrt{95} }{12})\\A = 54.31[/tex]
[tex]A + C = 90\\C = 90-A\\C= 90- 54.31\\C = 35.69[/tex]
The value of the numerator of a particular fraction is one-half the value of its denominator. If the numerator is increased by 2 and the denominator is decreased by 2, the value of the resulting fraction is 3/4. What is the denominator of the original fraction? URGENT!
Answer:
14
Step-by-step explanation:
Let the original denominator be 2x.
The original numerator is x.
The original fraction is x/(2x).
The numerator is increased by 2, and the denominator is decreased by 2.
The new fraction is (x + 2)/(2x - 2).
The new fraction equals 3/4.
(x + 2)/(2x - 2) = 3/4
Cross multiply.
4(x + 2) = 3(2x - 2)
4x + 8 = 6x - 6
-2x = -14
x = 7
The original numerator was 7.
2x = 2(7) = 14
The original denominator was 14.
20 points someone who actually knows what they doing lol❤️
Answer:
77°
Step-by-step explanation:
We can use: [tex](c*9/5)+32=f[/tex] to convert Celsius to Fahrenheit.
'c' - Celsius
'f' - Fahrenheit
Replace 'c' with 25:
[tex](25*9/5)+32=f\\45+32=f\\\boxed {77 = f}[/tex]
25° Celsius is 77° Fahrenheit.
Answer:
77
Step-by-step explanation:
Solve the system of linear equations by graphing.
2x + 3y = 16.9
5x = y + 7.4
What is the solution to the system of linear equations? Round to the nearest tenth as needed.
(
,
)
Answer:
The solution is shown in the graph.
x= 2.3
y= 4.3
Answer: x = 2.3 y = 4.1
Step-by-step explanation: I got it right on edge2020 y IS NOT 4.3 IT IS 4.1.
Which graph represents the function g(x) = |x + 4| +2
Answer:
none of the two graphs in the pic.
it should be one in the II quadrant
Step-by-step explanation:
the plus four means to move 4 to the left
the plus 2 means to move up 2
That would make the vertex in the II quadrant.
Answer:
its A
Step-by-step explanation:
Cindy is facing South through how many degrees should she turn clockwise to face East? a. 90° b. 180° c. 270° d. 360° e. Other:
Answer:
90°
Step-by-step explanation:
because from south to east is half of north which makes it 90°
82.8cm measured to the nearest tenth of a cm
Answer:
The answer is already 82.8
Step-by-step explanation:
The .8 is already to the tenth so it is 82.8
Answer: 83.0
Step-by-step explanation:
This is the answer because if you round it to a tenth it is 83.0 and it is closest to a cm
Find the area of the regular polygon. Round your answer to the nearest tenth.
Answer:
43.30 km^2
Step-by-step explanation:
Since the shape is a regular polygon, the sides of the triangle are equal (10km) now find the area on the triangle using herons formula
Working:
Side is 10
Perimeter= 30km
Semiperimeter (s) = 15km
Formula= √s(s-a)(s-b)(s-c)
= √15(15-10)(15-10)(15-10)
= √15*5*5*5
=5√5*15
=5√75
= 5*8.66
= 43.3 km^2
Answer:
43.3
Step-by-step explanation:
since it is a regular polygon thus it is a equilateral triangle where all sides are the same and all angles are 60
use formula 1/2 x a x b x sin C where a and b are sides and C is the angle
1/2 x 10 x 10 x sin 60 = 43.30
or method 2 is using Pythagoras theorem by drawing a perpendicular height to length 10km
h = [tex]\sqrt{10^{2} - (10/2)^{2} } = \sqrt{75} \\[/tex]
area of triangle = 1/2 x 10 x [tex]\sqrt{75}[/tex] = 43.30
Help center of circle
Answer:
Center = (7, - 5)
Radius = 3
Step-by-step explanation:
[tex] {x}^{2} + {y}^{2} + 14x - 10y + 65 = 0 \\ {x}^{2} + 14x + {y}^{2} - 10 + 65 = 0 \\ ( {x}^{2} + 14x + {7}^{2}) - {7}^{2} + ({y}^{2} - 10y + {5}^{2}) \\- {5}^{2} + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 - 25 + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 + 40= 0 \\ (x + 7)^{2} + (y - 5)^{2} - 9= 0 \\ (x + 7)^{2} + (y - 5)^{2} = 9 \\ (x + 7)^{2} + (y - 5)^{2} = {3}^{2} \\ equating \: it \: with \: \\ (x - h)^{2} + (y - k)^{2} = {r}^{2} \\ - h = 7 \implies \: h = - 7 \\ - k = - 5 \implies \: k = 5 \\ center = ( - h, \: - k) = (7, \: \: - 5) \\ \\ radius \: r = 3[/tex]
find the midpoint of A and b where A has coordinates (2,7) and B has coordinates (6.3)
Answer:
Midpoint of A and B is (4,5).
Step-by-step explanation:
If there are two points (x1,y1) and (x2,y2) on the coordinate plane
then midpoint is given by (x1+x2)/2 , (y1+y2)/2
_____________________________________
here two points are (2,7) and (6,3)
substituting this value in (x1+x2)/2 , (y1+y2)/2
we have,
midpoint (2+6)/2, (7+3)/2
= 8/2 , 10/2 = 4,5
Midpoint of A and B is (4,5).
Which is true regarding the graphed function f(x)?
f(Ο) =3
f(5) = -1
f(3) =2
f(2) = -2
Answer:
Step-by-step explanation:
cant seee the pic
find the volume with the explanation if possible <3
Answer: 905 cu. in.
Step-by-step explanation:
volume = (4/3) * π * r³
= (4/3) * π * 216
A box of oranges weighs 4 kg. If one orange weighs 80 g, how many oranges are in the box?
Answer:
50 oranges
Step-by-step explanation:
Convert the measurements for them to be the same ie 4kg to g
1kg=1000g. 4kgx1000=4000g
4000g is the mass of all oranges
1 orange=80g
? =4000g that is 4000/80
=50 oranges
Answer:
50 oranges
Step-by-step explanation:
Since each orange is measured in grams, we convert the 4 kg to g to start.
4 kg is equal to 4000 g.
Each orange weighs 80 g, so we divide 80g into 4000g.
80 divided by 4000 equals 50.
50 oranges are in the box.
I Hope This Helps!
write 3x^2/5 in radical form
Answer:
[tex]3\sqrt[5]{x^2}[/tex]
Step-by-step explanation:
As written, no radical is implied. The expression can be rewritten as ...
(3x^2)/5 = (3/5)x^2
_____
Perhaps you intend ...
3x^(2/5)
The denominator of the exponent becomes the index of the radical:
[tex]3x^{\frac{2}{5}}=\boxed{3\sqrt[5]{x^2}}[/tex]
2x-4=2
what is x=
plz help
Answer:
3
Step-by-step explanation:
2x=2+4
2x=6
x=3
#RAVEN
Find the next three terms in the geometric sequence: 72, 36, 18,... (sorry for bothering a lot)
Answer:
18 / 2 = 9
9 / 2 = 4.5
4.5 / 2 = 2.25
The next three terms are 9,4.5,2.25
Hope this helps
Step-by-step explanation:
Please help! Correct answer only!
At a carnival, there is a game where you can draw one of 20 balls from a bucket. The balls are numbered from 1 to 20. If the number on the ball is odd, you win $31. If the number on the ball is even, you win nothing. If you play the game, what is the expected payoff?
$____
Answer:
Expected Payoff ⇒ $ 15.5 ; Type in 15.5
Step-by-step explanation:
Considering that all odd out of the 20 numbers will have a probability of winning a 31 dollar prize, take a proportionality into account;
[tex]20 - Total Number of Balls,\\1 - 20 - Numbering of Balls,\\Even = Odd, Between 1 - 20, Knowing 20 - Even,\\\\10 / 20 - Odd,\\10 / 20 - Even,\\1 / 2 - Probability of Choosing an Odd Ball,\\\\Proportionality - 1 / 2 = x / 31, where x = " Expected Payoff ",\\1 / 2 = x / 31 - Cross Multiply,\\2x = 31,\\\\Conclusion ; x = 15.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 15.5
will award most brainliest need help pls (due today)
Answer:
m∠A = 24°
Step-by-step explanation:
m∠A = m∠B
3x-12 = 2x
-2x. -2x
x-12 = 0
x = 12
3(12)-12 = 24
2(12) = 24
11 (12) = 132
132 + 24 +24 = 180
1/2(12k-6) i don't know what this answer is!!!
Answer:
6k-3 or 3(2k-1)
Step-by-step explanation:
First, you need to multiply 1/2 by both the numbers in the parentheses
1/2(12k-6)=
(1/2)(12k)+(1/2)(-6)Then, you need to simplify your answer
6k-3*If needed, you can simplify further by taking out a factor of 3
3(2k-1)Answer:
[tex]3(2k-1)[/tex]
Step-by-step explanation:
[tex]\frac{1}{2}(12k-6)[/tex]
Expand the bracket by multiplying by 1/2:
[tex]6k-3[/tex]
Simplify further by taking out a factor of 3:
[tex]3(2k-1)[/tex]
The chart below shows the prices at different stores for bags of chips. Store A has 2 for $4 Store B has 3 for $5 Store C has 5 for 8$ and Store D has $1.25 each At what store will it be the least expensive to buy 30 bags of chips?
6. Classify this kind of triangle:
Answer:
Number 3
Step-by-step explanation:
It is an acute isosceles because all the angles are acute and two sides are congruent.
Answer:
Acute and isosceles
Step-by-step explanation:
All the angles are less than 90
2 sides are equal
Tony wants to put $318,000 in his retirement savings account. It earns an interest rate of 7.1% compounded quarterly. He wants to determine how much he will have in the account after 5 years, even if he makes no additional contributions or withdrawals to the account
A. $448099.52
B. $347242.34
C. $452115.44
D. $341186.28
which answer correct
Answer:
C. $452115.44
Step-by-step explanation:
To solve this, we will follow the steps below;
first write down the formula for compound interest
A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt
where A is the ending amount
P represent the principal
r represent the interest rate
n represent the number of compounding a year
t represent the time {in years)
from he question above
p= $318 000
r = 0.071
n = 4 since is quarterly
t= 5
we can now proceed to insert the values into the formula
A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt
=318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^4(5)
= $318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^20
=$318 000 [1+0.01775] ^20
= $318 000 [1.01775] ^20
=$318 000× 1.421747
≈$452 115.44
He will have $452 115.44 in the account
A tennis ball is launched from the ground and follows a parabolic path represented by the equation y=−x2+7x, where x=seconds.At the same time, an arrow is shot from a height of 18 feet and follows a straight path represented by the equation y=−5x+25.Using your graphing calculator, when will the arrow pierce the tennis ball and a what height off of the ground?
Given a line segment containing the points A,B, & C, in order, if AB is 4 and BC is 16, then the length of AC would be ____. Select one: a. - 12 b. 12 c. 8 d. 20
The length of AC will be equal to 20 units for the given line.
What is the distance?Distance is defined as the length between the two points here we have a line AC divided into two parts having a length of AB = 4 and BC is 16.
The length of the line AC will be calculated as:-
AC = AB + BC
Ac = 4 + 16
AC = 20 units.
Therefore the length of AC will be equal to 20 units for the given line.
To know more about distance follow
https://brainly.com/question/2854969
#SPJ2
Look at pic plzzzzzz
Answer: 10.35 miles per hour
Step-by-step explanation:
[tex]\dfrac{63,756\ feet}{70\ minutes}\times \dfrac{1\ mile}{5280\ feet}\times \dfrac{60\ minutes}{1\ hour}=\dfrac{(63,756)(60)\ miles}{(70)(5280)\ hour}=\dfrac{10.35\ miles}{hour}[/tex]
Divide 8848 by 16(Show working)
Answer:
553
Step-by-step explanation:
5 5 3
---------------------
16 / 8 8 4 8
8 0
---------------
8 4
8 0
----------------
4 8
4 8
-----------
0
The quotient is 553.
4 8
----------
0
pencils are sold in boxes of 10
erasers are sold in boxes of 14
A teacher wants to but the same number of pencils and erasers.
work out the smallest number of boxes of each item she should by.
Pencils:
Erasers:
Answer:
Pencils: 7 boxes
Erasers: 5 boxes
Step-by-step explanation:
She should buy 70 pencils and 70 erasers.
There are 7 pencil boxes for 70 pencils.
There are 5 eraser boxes for 70 erasers.
These are the smallest number of boxes she can buy without getting a fraction of a box.
Which of the following statements is true of the Alien and Sedition Acts?
They were designed to keep immigrants and the French in power.
They encouraged Americans to speak out against the government.
They were supported by Federalists and not by Democratic-Republicans.
Answer:
C (the last one)
Step-by-step explanation:
The Alien and Sedition Acts were a series of four laws passed by the U.S. Congress in 1798 amid widespread fear that war with France was imminent. The four laws–which remain controversial to this day–restricted the activities of foreign residents in the country and limited freedom of speech and of the press. Also, The Alien and Sedition Acts were four laws passed by the Federalist-dominated 5th United States Congress and signed into law by President John Adams in 1798. Seeing this, the last on is the only reasonable one.
Hope this helps!!!!
Answer:
They were supported by Federalists and not by Democratic-Republicans.
Step-by-step explanation:
I took the edge 2021 test
BRAILIEST?
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
Please help me. I don't understand how to work it out.
[tex]answer \\ = 60 \: meters \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps[/tex]
9x+18=-20
what does X =
Answer:
x=-4.22222
The 2 is repeating
Step-by-step explanation:
First you subtract 18 from both sides
9x=--38
Then divide both sides by 9
x=-4.22222
The 2 is repeating
AnsWER
X=-2/9
Step-by-step explanation:
9X=-20-18
9X=you will divide both sides by -9
X=-2/9