Answer:
g/c = x
Step-by-step explanation:
g= xc
/ c
g/c = x
isolate x by dividing out c
How do I do 123°15’-40°26’ ?
Answer: 82° 49'
Step-by-step explanation: A degree is subdivided
into minutes and seconds.
1° = 60' and 1' = 60"
One degree = 60 minutes
123° 15' - 40° 26'
= 7395' - 2426'
= 4969'
= 82° 49'
Let $a$, $b$, $c$, $d$, and $e$ be positive integers. The sum of the four numbers on each of the five segments connecting "points" of the star is 28. What is the value of the sum $a + b + c + d + e$?
Answer:
i dunno
Step-by-step explanation:
somebody help
Answer:
Step-by-step explanation:
[tex]a+c=23\\a+d=20\\e+c=21\\b+e=24\\d+b=22\\[/tex]
...
Can someone on help me 20 points!
Answer:
7/8
Step-by-step explanation:
No probability numbers have been assigned to the branches, so there is insufficient information.
We note that "at least one head" includes all 7 branches above the last one (which is all tails). If the probabilities are all equal, then ...
p(h > 0) = 7/8
please someone help me to prove this.
We know that,
[tex]\dag\bf\:sin^2A=\dfrac{1-cos2A}{2}[/tex]
[tex]\dag\bf\:sin2A=2sinA\:cosA[/tex]
___________________________________
Now, Let's solve !
[tex]\leadsto\:\bf\dfrac{sin^2A-sin^2B}{sinA\:cosA-sinB\:cosB}[/tex]
[tex]\leadsto\:\sf\dfrac{\frac{1-cos2A}{2}-\frac{1-cos2B}{2}}{\frac{2sinA\:cosA}{2}-\frac{2sinB\:cosB}{2}}[/tex]
[tex]\leadsto\:\sf\dfrac{1-cos2A-1+cos2B}{sin2A-sin2B}[/tex]
[tex]\leadsto\:\sf\dfrac{2sin\frac{2A+2B}{2}\:sin\frac{2A-2B}{2}}{2sin\frac{2A-2B}{2}\:cos\frac{2A+2B}{2}}[/tex]
[tex]\leadsto\:\sf\dfrac{sin(A+B)}{cos(A+B)}[/tex]
[tex]\leadsto\:\bf{tan(A+B)}[/tex]
Answer: see proof below
Step-by-step explanation:
Use the Power Reducing Identity: sin² Ф = (1 - cos 2Ф)/2
Use the Double Angle Identity: sin 2Ф = 2 sin Ф · cos Ф
Use the following Sum to Product Identities:
[tex]\sin x - \sin y = 2\cos \bigg(\dfrac{x+y}{2}\bigg)\sin \bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x - \cos y = -2\sin \bigg(\dfrac{x+y}{2}\bigg)\sin \bigg(\dfrac{x-y}{2}\bigg)[/tex]
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \qquad \dfrac{\sin^2A-\sin^2B}{\sin A\cos A-\sin B \cos B}[/tex]
[tex]\text{Power Reducing:}\qquad \dfrac{\bigg(\dfrac{1-\cos 2A}{2}\bigg)-\bigg(\dfrac{1-\cos 2B}{2}\bigg)}{\sin A \cos A-\sin B\cos B}[/tex]
[tex]\text{Half-Angle:}\qquad \qquad \dfrac{\bigg(\dfrac{1-\cos 2A}{2}\bigg)-\bigg(\dfrac{1-\cos 2B}{2}\bigg)}{\dfrac{1}{2}\bigg(\sin 2A-\sin 2B\bigg)}[/tex]
[tex]\text{Simplify:}\qquad \qquad \dfrac{1-\cos 2A-1+\cos 2B}{\sin 2A-\sin 2B}\\\\\\.\qquad \qquad \qquad =\dfrac{-\cos 2A+\cos 2B}{\sin 2A - \sin 2B}\\\\\\.\qquad \qquad \qquad =\dfrac{\cos 2B-\cos 2A}{\sin 2A-\sin 2B}[/tex]
[tex]\text{Sum to Product:}\qquad \qquad \dfrac{-2\sin \bigg(\dfrac{2B+2A}{2}\bigg)\sin \bigg(\dfrac{2B-2A}{2}\bigg)}{2\cos \bigg(\dfrac{2A+2B}{2}\bigg)\sin \bigg(\dfrac{2A-2B}{2}\bigg)}[/tex]
[tex]\text{Simplify:}\qquad \qquad \dfrac{-2\sin (A + B)\cdot \sin (-[A - B])}{2\cos (A + B) \cdot \sin (A - B)}[/tex]
[tex]\text{Co-function:}\qquad \qquad \dfrac{2\sin (A + B)\cdot \sin (A - B)}{2\cos (A + B) \cdot \sin (A - B)}[/tex]
[tex]\text{Simplify:}\qquad \qquad \quad \dfrac{\cos (A+B)}{\sin (A+B)}\\\\\\.\qquad \qquad \qquad \quad =\tan (A+B)[/tex]
LHS = RHS: tan (A + B) = tan (A + B) [tex]\checkmark[/tex]
If a number added to five is divided by the difference of the number and two, the result is three-fourths. Find the number.
Answer:
x = - 26
Step-by-step explanation:
Let the number be x.
According to the question,
[tex]\frac{x+5}{x-2} = \frac{3}{4}\\[/tex]
Cross multiplying 4 & 3 gives :-
[tex]4(x+5)=3(x-2)[/tex]
And solving this eqn. gives :-
[tex]4(x+5)=3(x-2)\\=> 4x+20=3x-6\\=>4x-3x=-20-6\\=>x=-26[/tex]
Verification :-
(putting the value of x = -26 )
[tex]\frac{x+5}{x-2} \\\\=>\frac{-26+5}{-26-2} \\\\=> \frac{-21}{-28} \\\\=>\frac{21}{28}[/tex]
Reducing [tex]\frac{21}{28}[/tex] by 7 gives [tex]\frac{3}{4}[/tex] .
Dave is currently scuba diving at an elevation of -24 meters. What integer is used to represent the elevation?
Answer:
-24
Step-by-step explanation:
The integer in "elevation of -24 meters" is -24.
6v-6v how would I solve that?
[tex]\huge\boxed{0}[/tex]
Any value minus itself will always be [tex]0[/tex]. This means that no matter what the value of [tex]v[/tex] is, [tex]6v-6v=\boxed{0}[/tex].
What are the coordinates of Y if the midpoint of line segment XY is (2,-5) and the coordinates of point X is (4,4)?
Answer:
Y(0, - 14 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Use the midpoint formula and equate corresponding parts to the coordinates of the given midpoint
let Y = (x, y ), then
[tex]\frac{1}{2}[/tex] (4 + x) = 2 ( multiply both sides by 2 )
4 + x = 4 ( subtract 4 from both sides )
x = 0
and
[tex]\frac{1}{2}[/tex] (4 + y ) = - 5 ( multiply both sides by 2 )
4 + y = - 10 ( subtract 4 from both sides )
y = - 14
Thus
coordinates of Y = (0, - 14 )
If one gallon of water is approximately 75,000 drops of water, how many gallons is 1 million drops of water
Answer:
13
Step-by-step explanation:
13x75000=975000
Check for reasonableness...
975000/75000=13
So the answer is 13 gallons.
P.S. There will still be 25,000 drops left, which is 1/3 of a gallon.
Simplify the following expression.
(7x3 + 8 – x2) + (5x3 – 7)
7+(a+b)=(7+a)+b please help asap
Answer:
We are using the Associate property of addition
Step-by-step explanation:
7+(a+b)=(7+a)+b
We are using the Associate property of addition
Complete the pattern. 14, 22, 30, _, _, _
Answer:
14, 22, 30, 38, 46, 54
Step-by-step explanation:
the pattern has a difference of 8, so if you want to get the remaining answers you are to add 8 to it. thanks mark as brainlest
Simon has a poster with a margin of 1 inch on all sides. The printed area is 25 square inches. He wants to determine the area of the entire poster including the margin. His work is shown. in2= 5 in 5 (side) + 1 (margin) = 6 inches Poster area = 62 = 36 in2 Which of the follow statements about Simon’s calculations are true? Check all that apply. Simon did not calculate the correct area of the poster. Simon calculated the correct area of the poster. Simon needed to find the perfect square of 7 to find the poster’s area. Simon needed to multiply 7 by itself to find the correct area. Simon needed to multiply 6 by itself to find the correct area. help me fast
Answer:
the Answer is the 1,3,and 4
What is 3x + 2 + 4x - 1 after combining like terms
Answer:
7x+1
Step-by-step explanation:
When you look at the expression(3x+2+4x-1), you will notice that some have variables while some are just regular numbers.
First, focus on the variables. 3x and +4x. In the expression, you will have to add it so 3x+4x will be 7x. Now, keep 7x on the side and switch to the numbers.
Next, focus on the numbers. 2 and -1. All you have to do is combine them which will be 2-1 which also equals 1.
Finally, return 7x with 1 which will be 7x+1. The reason you add a + sign instead of a - sign is because you got positive 1, not negative 1.
Your answer is 7x+1.
What is the length, in dekameters, of 1073.4 centimeters?
1073.4 centimeters = 1.073 decameters
Answer:
107.34 decimeter
Step-by-step explanation:
Chloe drives from her house to her grandma's house 64 miles away in an hour and 35 minutes. How fast was she driving on average? About 47 mph About 53 mph About 40 mph About 30 mph
Answer:
She was driving at 40.42 mph on averageStep-by-step explanation:
In this exercise, for us to find the speed that Chloe drives with we need to first convert the time she spent driving to hours completely since the time given is in hours and minute
Data
distance= 64 mile
time= 1hr 35min
to covert 1 hr 35 min to hours we have
= 1 + 35/60 (we are converting 35 min to hrs)
= 1+0.583
= 1.583
hence speed= 64/ 1.583
speed= 40.42 mph
She was driving at 40.42 mph on average
About 40 miles per hour
The following lists the weight (in pounds) of dogs at a kennel.
16, 34, 44, 20, 50, 19, 30, 54
Two more dogs weighing 25 pounds and 45 pounds come to the kennel. If these dogs' weights are
added to the data set, which statement describes the change in the data set?
Answer:
The mean increased, but the median stayed the same
Step-by-step explanation:
hope it help luvs
The mean increased, but the median remained constant If new dogs' weights are added to the data set.
What is the mean of a data set?The mean of a data set is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.
The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
Given the set of observations as :
16, 34, 44, 20, 50, 19, 30, 54
Arrange the data in ascending order, we get
16, 19, 20, 30, 34, 44, 50, 54
The median of the given data would be (30+34)/2 = 32.
Here, n = 8
⇒ ∑x = Sum of Observations
⇒ ∑x = 267
Mean = ∑x/n
Mean = 267/8
Mean = 33.375
If two more dogs weighing 25 pounds and 45 pounds come to the kennel.
Arrange the given data in ascending order, we get
16, 19, 20, 25, 30, 34, 44, 45, 50, 54
The new median of the data would be (30+34)/2 = 32.
New mean = 337/10 = 33.7
Therefore, the mean increased, but the median remained constant If new dogs' weights are added to the data set.
Learn more about the mean of the data set here:
brainly.com/question/13000783
#SPJ2
Isabel has scored 22, 20, and 20 points in her three basketball games so far. How many points does she need to score in her next game so that her average is 20 points per game?
Answer: 18
Step-by-step explanation:
To average 20 in 4 games, she would need 80 points in total. In her 3 games, she gets 62 points.
80 - 62 = 18
Point Mis on line segment LN. Given LN = 9, MN. = 4x, and
LM = 5x, determine the numerical length of MN.
Answer: 4
Step-by-step explanation:
Carly withdraws $18 from her bank account. Which number line represents this amount? A number line going from negative 20 to positive 20. A point is at 18. A number line going from negative 20 to positive 20. A point is at 12. A number line going from negative 20 to positive 20. A point is at negative 12. A number line going from negative 20 to positive 20. A point is at negative 18.PLEASE HELP QUICKLY!!!
A withdrawal is taking money out which is a negative value.
She took $18 out so it would be written as -18.
The answer is:
A number line going from negative 20 to positive 20. A point is at negative 18.
Answer:
Carly withdraws $18 from her bank account.
We assume that Carly has $x in her account. She withdraws $18 from her bank account.
So we have to subtract $18 from $x amount.
Which is $x - 18.
So we are subtracting $18 from her account.
It should be represented by an integer -18.
Now we have to identify the which number line represents -18.
It is D)
Step-by-step explanation:
Need help asap i will help u if u help me
Answer:
(14,5)
Step-by-step explanation
add 9 to 5 and add 4 to 1
hope this helps
-(5+-6)*(2-7^2)
Show all work, will give brainliest
100 points
Answer:
-47
Step-by-step explanation:
[tex]-(5-6) x (2-7^{2})\\[/tex]
[tex]-(-1) x (2-49)[/tex]
1 x (-47)
= -47
One foot is equal to 1 3 of a yard. What is the decimal equivalent to 1 3 ?
answer is C 0.3
I just took the test
what is the sum of a rational number and an irrational number
Answer:
Irrational Number
Step-by-step explanation:
Answer:
"The sum of a rational number and an irrational number is irrational."
Step-by-step explanation:
By definition, an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal). By definition, a rational number in decimal form either terminates or repeats.
In the figure shown, AB = 8 and AD = 5. What is BC?
Answer: 5
Step-by-step explanation:
Since we know that equal number of dashes will always be equal to another we can easily solve the question. They said AB=8 and as you can see 8 is represented by two dashes here and if we take in what i said earlier,, that means DC= 8 too. They also said AD= 5. Since 5 is represented by one dash we can easily see that since BC also has one dash,, it is going to be equal to AD which concluded to the answer of 5.
I will mark brainliest just answer right and fast pls
attached link
Answer:
9,0
Why?
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
slove the following multi-step equation
-3(3x+8)+2=26-3x
Answer:
x=-8
Step-by-step explanation:
-3(3x+8)+2=26-3x
We move all terms to the left:
-3(3x+8)+2-(26-3x)=0
We add all the numbers together, and all the variables
-3(3x+8)-(-3x+26)+2=0
We multiply parentheses
-9x-(-3x+26)-24+2=0
We get rid of parentheses
-9x+3x-26-24+2=0
We add all the numbers together, and all the variables
-6x-48=0
We move all terms containing x to the left, all other terms to the right
-6x=48
x=48/-6
x=-8
M is the midpoint of segment VW. Find the value of n.
Answer
x=4
Step-by-step explanation:
4x-1=3x+3 because both sides are equal, since M is a midpoint.
Subtract 3x to both sides to get x-1=3.
Add 1 to both sides to get x=4.
Answer:
[tex]\huge\boxed{\sf x = 4}[/tex]
Step-by-step explanation:
If M is the midpoint of VW.
Then,
WM = MW
Given that WM = 4x - 1 and MW = 3x + 3
So,
4x - 1 = 3x + 3
Combining like terms
4x - 3x = 3 + 1
x = 4
Sam is flying from Columbus, Ohio, to Kralendijk, Bonaire, a distance of 2,488 miles. First, he flies 995 miles to Miami, Florida. He then flies from Miami to San Juan, Puerto Rico, a distance of 1,033 miles. How many miles will he travel flying from Columbus to San Juan? How many more miles does he have to fly to Kralendijk? Enter your answers in the boxes. From Columbus to San Juan, Sam flies miles. He will have more miles to fly.
Answer:
1) From Columbus to San Juan, Sam flies 2,028 miles
2)Sam will have 460 miles more miles to fly to Kralendijk
Step-by-step explanation:
The given information are;
The total (flight) distance from Columbus, Ohio to Kralendijk, Bonaire = 2,488 miles
The distance Sam flies from Columbus to Miami, Florida = 995 miles
The distance Sam flies from Miami to San Juan = 1,033 miles
1) Therefore, the number of miles Sam travels flying from Columbus to San Juan is given as follows;
The number of miles Sam will have to travel flying from Columbus to San Juan = (The distance Sam flies from Columbus to Miami, Florida) + (The distance Sam flies from Miami to San Juan)
The number of miles Sam will have to travel flying from Columbus to San Juan = 995 miles + 1,033 miles = 2028 miles
The number of miles Sam will have to travel flying from Columbus to San Juan = 2,028 miles
Therefore, from Columbus to San Juan, Sam flies 2,028 miles
2) The number of more miles Sam has to fly to Kralendijk from Sam Juan is therefore;
The number of more miles Sam has to fly to Kralendijk from Sam Juan = (The total (flight) distance from Columbus, Ohio to Kralendijk, Bonaire) - (The number of miles Sam will have to travel flying from Columbus to San Juan)
The number of more miles Sam has to fly to Kralendijk from Sam Juan = 2,488 miles - 2,028 miles = 460 miles.
The number of more miles Sam has to fly to Kralendijk from Sam Juan = 460 miles.
Therefore, Sam will have 460 miles more miles to fly to Kralendijk
From the division of the trip into parts, it is found that:
From Columbus to San Juan, Sam flies 2028 miles.He will have more 460 miles to fly.--------------------
The total distance of Columbus -> Kralendijk is 2488 miles.The first part, Columbus -> Miami, is 995 miles.The second part, Miami -> San Juan, is 1033 miles.The final part, San Juan -> Kralendijk, is x miles.--------------------
Since Columbus to Miami is 995 miles and Miami to San Juan is 1033 miles, we have that the distance from Columbus to San Juan, in miles, is of:
[tex]995 + 1033 = 2028[/tex]
Thus:
From Columbus to San Juan, Sam flies 2028 miles.
--------------------
The total distance is 2488 miles.Until San Juan, it is 2028 miles. The final part is San Juan to Kralendijk, x miles, thus:[tex]2028 + x = 2488[/tex]
[tex]x = 2488 - 2028[/tex]
[tex]x = 460[/tex]
Thus:
He will have more 460 miles to fly.
A similar problem is given at https://brainly.com/question/24352869
Help me with this math problem please
Answer:
[tex]y=8[/tex]
[tex]RS=77, ST=31[/tex]
Step-by-step explanation:
Note that the entire segment RT is the combined lengths of RS and ST. So:
[tex]RT=RS+ST[/tex]
We know that RT is 108, RS is (9y+5), and ST is (3y+7). Substitute:
[tex]108=(9y+5)+(3y+7)[/tex]
On the right, combine like terms:
[tex]108=(9y+3y)+(5+7)[/tex]
Add:
[tex]108=12y+12[/tex]
Subtract 12 from both sides. The right cancels:
[tex]96=12y[/tex]
Divide both sides by 12:
[tex]y=8[/tex]
So, the value of y is 8.
To find RS and ST, substitute 8 for y. So:
[tex]RS=9y+5[/tex]
Substitute 8 for y:
[tex]RS=9(8)+5[/tex]
Multiply:
[tex]RS=72+5[/tex]
Add:
[tex]RS=77[/tex]
Do the same for ST:
[tex]ST=3y+7[/tex]
Substitute 8 for y:
[tex]ST=3(8)+7[/tex]
Multiply:
[tex]ST=24+7[/tex]
Add:
[tex]ST=31[/tex]