The circumference formula for a circle is C=πd where C is the circumference, d is the diameter of the circle and π is a constant. If you plug in 6 for C and solve the equation for d like:
6= πd and then divide both sides of the equation by π you get that d = 1.90
To find the central angle of an arc you would use the equation S = rθ where S is the length of the arc, r is the radius of the circle, and θ is the measure of the angle which in this case is unknown. So with S = 1 and r = d/2 = 1.90/2 = 0.9549 you would have an equation that looks like this:
1 = 0.9549θ
Answer:
60
Step-by-step explanation:
1/6 x 360
Central angle is equal to measure of intercepted arc.
60 degrees
1) The sum of the digits in a 2 digit number is 7. Reversing the digits increases the number by 9. What is the number?
Answer:
34
Step-by-step explanation:
Sum of two numbers = 7
1+6
2+5
3+4
34+9=43
3. What is the slope of a line that passes
through (0,-5) and (8,27)?
Answer:
4.
Step-by-step explanation:
Slope = difference in y coordinates / difference in the corresponding x coordinates
(27 - (-5)) / (8 - 0)
= 32 / 8
= 4.
Answer: Well, The entered points belong to an increasing, linear function.
Equation: y = 2.75x + 5.
You're key in this will be y=mx+b right?
Then you're M in y=mx+b is your slope. Therefore, if we take a look at our M in the slope we got,.....y = 2.75x + 5......it's-
2.75.
So you're slope is y= 2.75x
I'm not that great at explaining but yeah, i tried lolz :3
Brandon paid $70 for 20 gallons of
gasoline. How much did he pay per
gallon?
Answer:
$3.50
Step-by-step explanation:
For this question, you just take the price paid and divide it by the number of gallons. In this case, you get $3.50 per gallon.
Graph the image of the figure using the transformation given
Answer:
See the explanation
Step-by-step explanation:
Please see the photo
how can you take 20% off of a normal price
try to understand the example.
I used 20/100 since 20% is obviously 20/100 and I used ×1000 cus for 1000, you want 20%
hope it helps...!!!
How can the product of 0.8 and 2 be determined by using a number line?
Number line from 0 to 2 with tick marks at every tenth.
Enter your answers in the boxes.
Start at 0 and jump to
. From there, jump a distance of
to land on
, which is the product of the numbers.
Jack rides in a motorboat against a river current for 36 km. Then he returns to his starting point by floating down river on a raft.Tommy travels 9 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 15 km/h.
The speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.
SpeedLet x be the speed of the current in km/h units
Speed of the boat traveling against the current= (15-x) km/h
Time spent traveling 36 miles against the current=36/15-x hours
Time spent rafting36miles (with the current) =35/x hours
Equation=36/x-36/15-x=9
Multiply both sides by x×(15-x)
36×(15-x) - 36x = 9x×(15-x)
540 - 36x - 36x=135x-9x²
9x²-207x+540=0
x²-23x+60=0
(x-3)×(x-30) = 0
Roots are x= 3 and x= 30
Since 15-x must be positive, the only root x = 3 survives
Hence:
Speed =3 km/h
Inconclusion the speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.
Learn more about speed here:https://brainly.com/question/4931057
Q1. If you draw a triangle with angles that measure 25 degrees and 60 degrees, what will be the measure of the third angle?
Q2. If angle 1 and angle 2 are supplementary, and angle 1 measures 80 degrees, what is the measure of angle 2?
Answer:
Q1. 95 degrees
Q2. 100 degrees
Step-by-step explanation:
When you create a triangle, all angle measures must equal 180 degrees.
So, using that information, take 180 and subtract both of the other values.
180 - 25 = 155
155 - 60 = 95
When two angles are supplementary, the sum of their angle measures equal 180, or a straight angle.
Using that information, take 180 and subtract 80.
180 - 80 = 100
Drag the measurements to the containers to show equal length.
The measurements that show equal length is 15 yd and 540 in, 195 ft and 2340 in, 5280 yd and 15840 ft
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
1 ft = 12 in; 1 yd = 3 ft and 1 yd = 36 in.
Hence:
15 yd = 15 yd * 36 in per yd = 540 in
195 ft = 195 ft * 12 in per ft = 2340 in
5280 yd = 5280 yd * 3 ft per yd = 15840 ft
The measurements that show equal length is 15 yd and 540 in, 195 ft and 2340 in, 5280 yd and 15840 ft
Find out more on equation at: https://brainly.com/question/2972832
PLEASE SOLVE PRETTY URGENT
If the two cylinders are similar, that means that the ratio between the diameter and the height will be the same in both solids.
In the bottom cylinder, we have a ratio of 3ft to 12ft. This is a ratio of 3:12, or 1:4, where the 1 is the height and 4 is the diameter.
The top cylinder has a height of 8 inches, meaning that the 8 corresponds to the 1 in the ratio. Thus, we can set up the equation like this:
[tex]\frac{1}{4} =\frac{8}{x}[/tex]
To get from 1 to 8, we have to multiply by 8. But because we don't want to change the ratio, we have to multiply the denominator by 8 as well:
[tex]\frac{1}{4}*\frac{8}{8}=\frac{8}{32}[/tex]
That means the top cylinder has a diameter of 32. But we can't forget our units. Because we used 8 inches in our ratio, that means the diameter is 32 inches.
NEED HELP NOW PLEASE!!! Will give Brainlyist points
find the distance between the follwing points: (-4,11), (3,5)
Answer:
43
Step-by-step explanation:
equation= sqrt (x2-x1)^2 + (y2-y1)^2
Brittany deposited $3,000 in a new account at her bank.
The bank pays 6% interest compounded annually.
Brittany makes no additional deposits or withdraws.
What will be the balance of the account at the end of 3 years? (Include Decimal with the cents; No Commas)
The total amount accrued, principal plus interest, with compound interest on a principal of $3,000.00 at a rate of 6% per year compounded 1 times per year over 3 years is $3,573.05.
Compound InterestGiven Data
Principal = $3000Rate = 6%Time = 3 yearsA = P + I where
P (principal) = $3,000.00
I (interest) = $573.05
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 6/100
r = 0.06 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 3,000.00(1 + 0.06/1)^(1)(3)
A = 3,000.00(1 + 0.06)^(3)
A = $3,573.05
Learn more about compound interest here:
https://brainly.com/question/24924853
2m - 3 - 5= -m + 10 please help me
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: 2m - 3 - 5 = - m + 10[/tex]
[tex]\qquad \sf \dashrightarrow \: 2m + m = 10 + 3 + 5[/tex]
[tex]\qquad \sf \dashrightarrow \: 3m = 18[/tex]
[tex]\qquad \sf \dashrightarrow \: m = 18 \div 3[/tex]
[tex]\qquad \sf \dashrightarrow \: m = 6[/tex]
Hence, value of m is 6
Plss help i need this asap
(will give brainliest)
(this is not from a test)
Answer:
90
Step-by-step explanation:
im not sure but im pretty sure it would be 90 dont come at me if it not:(
Answer:
360°/3=120°
which is the size of each exterior angle.
Step-by-step explanation:
An equilateral triangle has 3 lines of symmetry, but of more importance in this case, it has rotational symmetry of order 3. This means that in a rotation of 360° the same image appears 3 times.
360°/3=120° which is the size of each exterior angle.
The triangle rotates through the exterior angle so that the next vertex can be in the same position as the previous one.
IN the same way, a square will rotate through 360/4=90°
A pentagon will rotate through 360/5=72°
for the figure to map onto itself.
Which system of equations
Answer:
The answer is J.
Step-by-step explanation:
Because y= 2x-3 as shown on the graph and on the chart it shows y=-x+3
6x4y how do I solve this?.
Answer:
24y
Step-by-step explanation:
Multiple 6x4 to get 24
and then put the y in to
get your answer
solution÷
6×4y
6×4y=0
multiply 6×4y
24y=0
now send 24 to the right side and divide
y=0÷24
therefore,y=0
how to work out 15% of £24
Answer:
3.6.
Step-by-step explanation:
15% = 15/100 = 0.15
so the answer is 0.15 * 24
= 3.6
Answer:
3.60
Step-by-step explanation:
Note:
Of = Multiply
15% can also be written as .15 as decimal
Solve:
.15 × 24 = 3.60
Or we can solve like this:
[tex]\frac{24}{x}=\frac{100\%}{15\%}[/tex]
[tex]\frac{x}{24}=\frac{15}{100}[/tex]
[tex]\Rightarrow x=3.6[/tex]
Therefore, 15% of £24 is 3.60
~Lenvy~
Part B.
Directions: Solve for the area of the triangle in each of the following problems.
10) 22 cm 21 cm
11) 16 m 15 m
Answer:
#10=462
#11=240
Step-by-step explanation:
22x21=462
16x15=240
Sunny made a deposit into an account that
earns 6% simple interest. After 7 years, Sunny
had earned $420. How much was his initial
deposit?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$420\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &7 \end{cases} \\\\\\ 420 = (P)(0.06)(7)\implies \cfrac{420}{(0.06)(7)}=P\implies 1000=P[/tex]
Consider nick draws 3 cards from a pack of 52 cards. What is the probability of getting no kings?
The probability of getting no kings is 0.7826
What is the probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
The random experiment follows a hypergeometric distribution with,
N = 52 since there are 52 cards in a deck.
k = 4 since there are 4 kings in a deck.
n = 3 since we randomly select 3 cards from the deck.
x = 0 since we want no kings.
The probability of getting no kings is;
[tex]\rm = \dfrac{^4C_0 \times ^{48}C_3}{^{52}C_3}\\\\=\dfrac{1 \times 17296}{22100}\\\\= 0.78[/tex]
Hence, the probability of getting no kings is0.7826.
To know more about probability click the link given below.
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answer and explanation !!
QUICK PLS
Answer:
Step-by-step explanation:
diameter = 6 in
r = 6/2 = 3 in
h = 8 in
[tex]\textbf{Area of cylinder = $2\pi r(r+h)$ }[/tex]
[tex]= 2*3.14*3*(3+8)\\\\= 2*3.14*3*11\\\\= 207.24 \ in^{2}[/tex]
PLEASe help!!! hurrry!!
Answer:
x is 6 degrees
Step-by-step explanation:
so its 90 degress, how do i know? because it is parrallel to the one with a half square (the 90 degrees) so we equal the angels to 90 because they are equal to 90 (sorry if it sounds confusing, if you want i can still explain more later)
7x + 8x = 90
15x = 90
x = 90/15
x = 6
Answer:
See Below.Explanation:
Both the angles lie inside a right angle, whose total sum is 90 degrees.
Solve:
7(x) + 8(x) = 90°15(x) = 90°x = 6°Each of the angle:
7(x) ⇒ 7(6) = 42°8(x) ⇒ 8(6) = 48°
PLSS HELPP IMPORTANT
(WILL GIVE BRAINLIEST)!
Answer:
c. It is a reflection around the x-axis and a reflection around the y-axis
Step-by-step explanation:
4+8÷2-2×3 what would we do first a 4+8 b8÷2 c2-2 d2×3
Answer:
multiplication, so d, 2 x 3
Step-by-step explanation:
remember... PEMDAS!!
If QR=x+29 and PS=x–16, what is the value of x?
Answer:
61
Step-by-step explanation:
By the triangle midsegment theorem, 2(SP)=RQ.
So, 2(x-16)=x+29, meaning x=61.
4+6x=16 how to solve it
Answer:
Step-by-step explanation:
Remark
The first step is the key step. You have to get the xs on one side and the numbers on the other.
Solution
4 + 6x = 16 Subtract 4 from both sides
4-4+6x = 16 - 4 Combine
6x = 12 Divide both sides by 6. You want x by itself.
6x/6 = 12/6
Answer: x = 2
on a test given in math class 60 students arrive in take out their supplies. Of those students, 23 bring pens and 36 bring pencils. Only three students a ride with me neither. How many brought both a pen and a pencil
-4 + 3y = 29
5x + y = -3
solve by substitution
Step-by-step explanation:
please mark me as brainlest
Answer:
y=11
x= -2.8
Step-by-step explanation:
y= -5x-3
-4+3 (-5x-3)=29
-4-15x-9=29
-4-9-29=15x
-42=15x
x= -2.8
y= -1 (5×-2.8)-3
=14-3
y=11
Find The Square Root Of
[tex] \frac{144}{169 } [/tex]
[tex]===============================[/tex]
Let's find the square root of
[tex]\bold{\displaystyle\frac{144}{169}}[/tex]
So what number times itself equals [tex]\bf{\displaystyle\frac{144}{169}}[/tex]?
Take the square root of both the numerator (144) and the denominator (169)
[tex]\bold{\sqrt{\displaystyle\frac{144}{169} }}[/tex]
The square root of 144 is 12 (12 times itself equals 144), and the square root of 169 is 13 (13 times itself equals 169)
[tex]\bold{\displaystyle\frac{12}{13}}[/tex]
This number times itself equals [tex]\bf{\displaystyle\frac{144}{169}}[/tex].
[tex]==================================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!#KnowledgeIsPowerYou can easily find the square root of a number by entering the number you want to find the square root of and pressing the [tex]\sqrt{x}[/tex] button on your calculator, or just remembering the basic numbers, like "12×12 (12²=144) :-)Answered by:
[tex]^\star^\bigstar^\circ\tt{An~Emotional~Helper!~:D}}^\circ^\bigstar[/tex]