Answer:
∠RST = 120°
Step-by-step explanation:
We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.
∠RSU +∠UST = ∠RST
__
78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above
54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12
108 = 6x . . . . . . . . . . . multiply by 2
120° = (6x +12)° = ∠RST . . . . add 12, show units
The measure of angle RST is 120 degrees.
_____
Additional comment
Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.
Describe how to translate the graph of y=√x to obtain the graph of y=√x+2
A.shift right 2 units
B.shift left 2 units
C.shift up 2 units
D.shift down 2 units
Answer:
D
Step-by-step explanation:
Shift down 2 units, you want to make the graph only move in the y direction and take it back to the origin
I need help problem in the picture below
Answer:
The answer is three
Step-by-step explanation:
The formula to find the area is the width times the length. The area of the big rectangle is three times more than the smaller rectangle.
A valuable watch has an original price of $x. It is sold for $5304 after its original price has been increased by 2% and then by 4%. Find x.
SHOW YOUR WORKING.
Answer:
$5416.67
Step-by-step explanation:
If A valuable watch has an original price. It is sold for $5304 after its original price has been increased by 2% and then by 4%. The original price of watch is 5096.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part
let the original price be x.
The selling price of watch is $5304 .
2% of $5304 is 2/100×5304=0.02×5304
=106.08
Now let us remove the 2% from the selling price of the watch.
$5304 - 106.8 =5197.2
4% of $5197.2 is 4/100×5197.2=0.04×5197.2
=207.888
So Selling price of watch minus percentage in increase is the original price
5304-207.888=5096.1
Hence if a valuable watch has an original price. It is sold for $5304 after its original price has been increased by 2% and then by 4%. The original price of watch is 5096.
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(question in image)
i need the equation and it solved
Answer:
Option ASpeed of plane is 240 km/h, speed of wind is 50 km/hStep-by-step explanation:
With the tail wind the total speed is the sum of the speeds of plane and wind.
When into wind the total speed is the difference of speeds of plane and wind.
The first equation is
(r + w)*6 = 1740The second equation is
(r - w)*3 = 570Simplify both equations and solve the system
r + w = 1740/6 ⇒ r + w = 290r - w = 570/3 ⇒ r - w = 190Solve by elimination, add up the equations
r + w + r - w = 290 + 1902r = 480r = 240Find the value of w
240 + w = 290w = 290 - 240w = 50In a different plan for area codes, the first digit could be any number from 4 through 8, the second digit was either 0, 1, or 2, and the third digit could be any number 4 except With this plan, how many different area codes are possible?
Answer:
135 choices
Step-by-step explanation:
5 choices for 1st dig
3 choices for 2nd dig
9 choices for third digit
5 x 3 x 9 = 135
Answer:
135
Step-by-step explanation:
But, for the last digit that is go from 0-9 except the 4
So it also depends on the range for the last digit
Hope this helped! :)
The length of a rectangle is 2 centimeters less than five times the width of a rectangle. The area of the rectangle is 16 square centimeters. Find the length and width of the rectangle.
Answer:
Length: 8 cm
Width: 2 cm
Step-by-step explanation:
Check the attachment.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
the answer to your question is 9 miles
∠1 and ∠2 are linear pair. If m∠1 = 3x + 4 and m∠2 = 2x – 9, find x.
Answer:
37
Step-by-step explanation:
Linear pairs are supplementary (adds up to 180)
m∠1 + m∠2 = 180
3x + 4 + 2x - 9 = 180
5x - 5 = 180
5x = 185
x = 37
Hope this helps :)
Have a nice day!
Given h(x)=-x+2h(x)=−x+2, find h(4)h(4).
Answer:
(-4 + 2 • h(4))^2
Step-by-step explanation:
h(4)h(4)
↓
h(4) • h(4) = (-4 +2 • h(4)) • (-4 +2 • h(4))
↓
Calculate
(-4+2× h(4)) × (-4+2× h(4))
Simplify using exponent rule with same base
a^n • a^m = a^n+m
(-4+2× h(4))^2
I hope this helps out.
TEN POINTS
Select the correct answer.
Solve the following quadratic equation.
(x+4)^2=25
A. x=9 and x=-1
B. x=-9 and x=-1
C. x=-9 and x=1
D. x=9 and x=1
Answer:
hi I need actually a lot of help with Matt since I'm not the best?
Answer the question below
Answer:
v=k+5
Kora is 13 yrs old when Venla is 18 yrs old
Please help! Will mark brainlyest.
Answer:
D
Step-by-step explanation:
there is a curve
Geometry math work help pls
Answer:
Step-by-step explanation:
Remark
If you sweep all the way around the circle starting at 13,0, you go through 360 degrees.
The formula for that event: Circumference = 2*pi * r
If you stop after sweeping out 135 degrees, then you need to multiply by a fraction.
Formula and givens
Arc RST = (135/360) * 2 * pi * r
pi = 3.14
r = 13
Solution
Arc RST = .375 * 2 * 3.14 * 13
Answer = 30.615
HELP ME PLEASEEEEEEEEEEEEEEEEEEEE
Is the following a statistical question?
How many letters are in the English alphabet?
yes
no
There are 26 letters in the English alphabet and no it’s not a statistical question
i really need some help on this question
Answer:
What is the car's rate in kilometers per minute?
[tex]0.9\frac{km}{min}[/tex]
How many kilometers will the car travel in 5 minutes?
[tex]4.5\ km[/tex]
Step-by-step explanation:
If we know:
[tex]\frac{54\ km}{1\ hour}[/tex]
And there are 60 minutes in an hour:
[tex]\frac{1\ hour}{60\ minutes}[/tex]
We can do:
[tex]\frac{54\ km}{1\ hour} * \frac{1\ hour}{60\ minutes} = \frac{54\ km}{60\ minutes} = 0.9 \frac{km}{min}[/tex]
From here, we figure out the distance from minutes:
[tex]0.9\frac{km}{min} * 5 = 4.5\ km[/tex]
Please help.
Solve for a
Answer:
a = [tex]\sqrt{68}[/tex] = 8.2
Step-by-step explanation:
Look at picture ↓
[tex]Hope[/tex] [tex]this[/tex] [tex]helps![/tex] [tex]:)[/tex]
Answer:
60
Step-by-step explanation:
You have the proper formula. You just need to swap some things around so we aren't solving for C. C is always the hypotenuse, the diagonal line opposite the right triangle. A and B can be either side unless specified.
1. The side we're solving for can either be called a or b. Let's call it A.
2. Now, switch around the theorem to solve for a: [tex]C^2-B^2=A^2\\[/tex]
3. Plug in what we know: [tex]8^2-2^2=a^2[/tex]
4. It simplifies down to [tex]60=a^2[/tex]
5. The "[tex]a^2[/tex] " means to square the a. We need to undo that to get a by itself. The opposite of squared is the square root
6. This leaves us to take the square root of both sides, which isolates a.
7. [tex]\sqrt{60}[/tex] is the answer. It's asking for it in the square root so we don't need to simplify it.
4 1/6 add 2 3/4 PLEASE
Answer: 6.91666666667, or 6 11/12
If the last 2 months of the year each have the most common amount of rainfall, how much more rain will fall for the year?
Answer:
Step-by-step explanation:
The table shows the amount of rainfall recorded over the first 10 months of a year. Draw a line plot, if needed.
Amount of Rainfall (inches)
Part A
What is the difference between the greatest and least amounts of rainfall in a month?
Let x = the unknown.
Greatest amount= 3 1/4
Least amount = 3/4
x= 3 1/4 - 3/4 = 2 1/2 inches.
Part B
If the last 2 months of the year each have the most common amount of rainfall, how much more rain will fall for the year?
The number with the most common amount is 2 3/4.
2 3/4 + 2 3/4 = 5 1/2 inches.
how to find area of triangle
Answer:
[tex]\displaystyle A =\frac{B*H}{2}[/tex]
Step-by-step explanation:
To find the area of a triangle, we can use the formula of:
[tex]\displaystyle A =\frac{B*H}{2}[/tex]
This formula comes from the area of a rectangle, because a triangle is half a rectangle.
How to find the area of a triangle?
❒ Explanation -:Triangle :
A polygon which has three sides is called a triangle.
Formula :
Assume a rectangle ABCD and let the height be h and base be b.
If we draw a diagonal from one vertex, it will break the rectangle into two congruent or equal triangles. The area of each triangle is half the area of the rectangle.
The area of the triangle ABC is [tex]\dfrac{1}{2}[/tex] × base × height.
[tex] \star \small\boxed{ \rm{ Area \: of \: a \: triangle = \dfrac{1}{2} × Base × Height}} [/tex]
This formula comes from the area of a rectangle. A triangle is half as big as the rectangle that surrounds it, that is why the area of a triangle is one-half base times height.
A factory makes circular rugs with a radius of 3.5 feet. How much braid do they need to go all the way around the outside of the rug? Use 3.14 for pi
I believe that the answer is 21.48
The factory would need approximately a circumference of 21.98 feet of the braid to go all the way around the outside of the circular rug.
We have,
The formula for the circumference (C) of a circle is:
C = 2πr
where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14.
In this case, the radius of the rug is 3.5 feet, so we can calculate the circumference as:
C = 2 × 3.14 × 3.5 = 21.98 feet
Therefore,
The factory would need approximately a circumference of 21.98 feet of the braid to go all the way around the outside of the circular rug.
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Look at this diagram:
a)
What fraction is shaded?
b)
What percentage is shaded?
⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰
⚘✨ HI BRAINLY USER!! ✨
JUST CLICK THE ATTACHMENT PHOTO⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰
#CARRY ON LEARNING #ulzanggirlthCan anyone help me? me please
Answer:
approx 8.5 cm
Step-by-step explanation:
Given:
Volume= 225 cm^2
Diameter= 10cm
∴Radius= 10/2= 5cm
Volume of cone= 1/3 pi r^2 h
(now substitute the values we know),
225 = 1/3 * pi * (5)^2 *h
225*3= 25*pi*h
675= 25*pi*h
675/25= pi*h
27= 22/7*h
h= 27* 7/22
h= 8.5 cm approx.
I have mentioned every minor step. Hope it helps!!
Which word describes 5 in the number sentence shown?
5x−2=18
Term
Coefficient
Variable
Equation
Answer:
Coefficient
Step-by-step explanation:
5 is the Coefficient for x
Write the equation of the graph in y=ab^x form.
Answer:
Step-by-step explanation:
If p → q is true, then ~ p → ~ q is __________ true.
Sometimes
Always
Never
Answer:
1. If p is true and q is false, the p -> q is never true.
2. When p is false and q is true, then p or q is always true.
3. If p is true and ~ q is false, then p -> ~ q
N
is never false.
4. If p is true and q is true, then ~ p -> ~ q is always true.
5. If p->q is true and q is true, then p is
always true.
Further Explanation:
The logic gates are used here.
Here, the symbol -> is for implication. Implication p-> q means that if p is true then q must be true.
So let us look at all the questions one by one.
1. p is true and q is false, the p -> q is always, sometimes, never true.
p-> q
true -> false
The true should imply true so the given statement will never be true.
2. When p is false and q is true, then p or q is always, sometimes, never true.
false or true
We know that in or gate even if one input is true, the whole output is true. So this statement will be always true given p is false and q is true.
3. If p is true and~q is false, then P q is always, sometimes, never false.
This translates to:
true -> true
So it will never be false.
4. If p is true and q is true, then ^p -> ~q is always, sometimes, never true.
This translates to:
false false
This will always be true.
5. If p->q is true and q is true, then p is always, sometimes, never true.
If p->q is true and q is true then will always be true. "Implies to" states that in p->q, in order for q to be true p has to be true. So p will always be true.
Which graph shows the effect of changing the slope of the line
y = 1/2x - 3 to 2?
Picture linked below if you want
Answer:
A
Step-by-step explanation:
Y intercept is -3
Rise 2 run 1
(Will give brainliest help asap pls)
A membership at a classic film center cost $75 per year.tickets to film cost members $5.50 . Which of the following statements is true of the annual cost of membership at the film center? Let y= total cost and x= number of films seen.
A. The annual cost is shown by the linear function y=x+5.50. The rate of change is 1, and the initial value is 5.50
B. The annual cost is shown by the linear function y=75x+5.60. The rate of change is 75, and the initial value is 5.50.
C. The annual cost is shown by the linear function y=80.50x. The rate of change is 80.50, and the initial value is 0.
D. The annual cost is shown by the linear function y=5.50x+75. The rate of change is 5.59, and the initial value is 75
which question is a statistical question
1. who is your teacher?
2. what is your favorite movie?
3. What is the age of each child currently at the zoo?
4. How many pages are in the book you are reading?
5.How many pairs of shoes do students in your school have?
please answer asap
Answer:
5
Step-by-step explanation:
Cause you can actually get multiple different answeres which you can make a statistical question on
A well-known chewing gum maker wants to determine if any of its four flavors of gum are more popular than the others. A random sample of 80 people who say they chew gum regularly is asked to identify their favorite flavor of gum. Here are the results:
The appropriate null hypothesis is (b) Flavor preferences are evenly distributed across all flavors
How to determine the appropriate null hypothesis?The distribution of the gum flavors is given as:
Peppermint = 25Cinnamon = 19Wintergreen = 22Spearmint = 14The sample size is given as:
Sample = 80
From the distribution of the gum flavor, we can see that the count of each flavor are not equal i.e. uneven
This means that we can use the following statement as the null hypothesis:
Flavor preferences are evenly distributed across all flavors
Hence, the appropriate null hypothesis is (b)
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