Circumference:-
65/135mRadius:-
2πr=5πr=2.5r=2.5/πr=0.797mAnswer:
radius = 0.8 m (nearest tenth)
Step-by-step explanation:
One revolution of the wheel means one complete turn. Therefore, the distance of one revolution is the circumference of the wheel.
First, find the distance of one revolution (the circumference) by dividing the total distance by the given number of revolutions:
[tex]\sf circumference=\dfrac{65}{13}=5\:m[/tex]
Formula
[tex]\textsf{circumference of a circle}=\sf 2 \pi r \quad \textsf{(where r is the radius)}[/tex]
[tex]\implies \sf radius=\dfrac{circumference}{2 \pi}[/tex]
Substituting the found value of the circumference into the formula to find the radius:
[tex]\implies \sf radius=\dfrac{5}{2 \pi}=0.8\:m\:(nearest\:tenth)[/tex]
i need help it is overdue ):
Answer:
x = 4[tex]\sqrt{3}[/tex] , y = 4
Step-by-step explanation:
using the cosine and sine ratios in the right triangle and the exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 4[tex]\sqrt{3}[/tex]
and
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{8}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 8 ( divide both sides by 2 )
y = 4
Carol, an avid hiker, typically loses 2 pounds of weight during a 3-hour hike. She always brings a Camelbak hydration pack with her, drinking 50 ounces during her hikes. How much should Carol be drinking per hour to meet her total fluid needs
The amount of water Carol should be drinking per hour to meet her total fluid needs is 16.67 ounces.
How many fluids should Carol drink hourly?Division is a mathematical operations that groups a number into equal parts using another number. The sign used to denote division is ÷.
Water to be drank per hour = total water drank / hours of hike
50 / 3 = 16.67 ounces
To learn more about division, please check: https://brainly.com/question/13281206
Write and solve an equation to find the value of x
Answer:
Equation: x+90=7x
Answer: x=15
Step-by-step explanation:
By looking at the image, I can tell that both of those angles are vertical.
Vertical angles mean that both of the angles would be equal. Therefore, we can set x+90 = 7x
You then subtract x from both sides, leaving us with 90 = 6x
From there, divide both sides by 6 to isolate 6 to 1, and you are left with 15= x or x=15, giving you your answer and equation.
The value of x is 15.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given that the two angle measures (x + 90)° and 7x°.
And both the angle measures are formed by opposite angles,
so,
x + 90 = 7x
Taking like terms to one side,
we get,
7x - x = 90
6x = 90
Divide by 6, and we get,
x = 90/6
x = 15
Therefore, x = 15°.
To learn more about the angle measure;
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Bentley's rectangular desktop measures 39 1/2in long and 24 3/4in wide what is the area of his desktop
Answer:
95,013
Step-by-step explanation:
If you use the formula A=L*W You multiply the width, 24 3/4, by how long it is, 39, 1/2. And you should get a rounded answer of 95,013!
Determine the simplified expression for (5^2)(5^1/4)(5^-1)
A: 125^5/4
B: 5^-1/2
C: 5^5/4
D: 15^-1/2
Answer:
C is the answer please
C. 5^5/4
93 is 50% of what number?
Answer: the answer is 186
Step-by-step explanation:
Hope my answer helps you please mark me brainliestA rectangular prism has a length of 18 feet, a height of 14 feet, and a width of 2 feet. What is its volume, in cubic feet?
Answer:
504
Step-by-step explanation:
14x18x2=
(14x18)x2=
252x2=
504
Classify the triangle shown below. Check all that apply.
Answer:
A and B
Step-by-step explanation:
A. Since 2 angles are congruent you know that there has to be 2 equal sides
B. It has an obtuse angle which is 100 degrees.
C. Triangle has 2 congruent sides so this is incorrect
D. Not all sides are equal
E. Not all angles are acute
F. None of the angles are 90 degrees
can someone help me with these three questions pls
Answer:
Step-by-step explanation:
#1. right 5 units
#2. down 2 units
#3. The translation rule is (5, -2)
Nathan’s family spent 2 and 1/4 hours visiting national monument near their home.They watched a video in the visitor center for 1/3 of that time. how much time did they spend watching the video
Answer: 45
Step-by-step explanation: 2 1/4 = 2hr and 15 min
1/3 of 2hr and 15 min = 45
Amount of time spent by Nathan's family watching the video is 3/4 hour or 45 minutes.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Here, a is called the numerator and b is called the denominator.
Given that,
Nathan’s family spent 2 and 1/4 hours visiting national monument near their home.
They watched a video in the visitor center for 1/3 of that time.
Total time spent by Nathan's family in the monument = 2 + 1/4 hours
= 9/4 hours
Fraction of time spend in watching the video = 1/3
Time spend in watching the video = 1/3 × 9/4
= 3/4 hour
= 45 minutes
Hence the time spent is 3/4 hour.
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so
x+y=24
x=2y
I need step by step ple
Answer:
y = 8x = 16Explanation:
x + y = 24x = 2(y)solve, insert equation 2 into 1
2(y) + y = 243(y) = 24y = 8Find x:
x = 2(y)
x = 2(8)
x = 16
Answer:
y = 8
x = 16
Step-by-step explanation:
Given equations:
x + y = 24x = 2yReorganize the equations:
[tex]\left \{ {{x + y = 24} \atop {x = 2y}} \right.[/tex]
[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]
Subtract:
[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]
[tex]{ {{[x - x] + [y - (-2y)]= 24 - 0}[/tex]
[tex]{ {{x - x + y + 2y= 24}[/tex]
[tex]3y= 24}[/tex]
Divide 3 both sides:
[tex]\dfrac{3y}{3} = \dfrac{24}{3} }[/tex]
[tex]y = 8[/tex]
Substitute y in any equation:
[tex]x = 2(y)[/tex]
[tex]x = 2(8) = 16[/tex]
Determine the coordinate of the point where
y=3x+6 crosses the x-axis.
Answer:
(- 2, 0 )
Step-by-step explanation:
to find where the line crosses the x- axis, let y = 0 in the equation and solve for x.
0 = 3x + 6 ( subtract 6 from both sides )
- 6 = 3x ( divide both sides by 3 )
- 2 = x
the line crosses the x- axis at (- 2, 0 )
Instead of y write 0:
0=3x+6
Now all we have to do is solve for x :0=3x+6
Subtract 6 on both sides :
-6 = 3x
Switch the order :
3x = -6
Divide by 3 on both sides :
x = -2
Now that we know the x coordinate of the point, we should find the y coordinate, which is always equal to 0.
Coordinates of the point ↓(-2, 0)
I need help on this question
Answer:
c
Step-by-step explanation:
I think its c because there is no relation between 2x-1 and 4-x ,it is not equals its + because there is no equals in a straight angle
Domain and range for y=x^2+5x-6
Step-by-step explanation:
domain is all real numbers since its quadratic: (-infinity, infinity)
Range is from -6 to positive infinity or [-6, infinity)
By finding the size of each exterior angle of a regular polygon with 24 sides, calculate the size of each interior angle of the polygon.
We can find the sum of the interior angles of a regular polygon using the formula : (n-2) x 180, where n is the number of sides.
We replaced in : (24-2) x 180 = 3960
So, all the interior angles in this polygon add up to 3960.
-> Each interior angle is equal to 3960 : 24 = 165.
{3x+y=2
{6x +2y=4
i think it’s system of equations
Answer:
Infinitely many solutions.
Step-by-step explanation:
[tex]3x+y=2[/tex]
[tex]6x+2y=4[/tex]
[tex]6x+2(2-3x)=4[/tex]
[tex]6x+4-6x=4[/tex]
[tex]6x-6x=4-4[/tex]
[tex]0=0[/tex]
Since the two equations are the same, the system of equations has infinitely many solutions.
Find the volumn of prism given figures
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of surface areas and volumes.
To get the volume of the whole irregular shape, we have to divide it into two regular parts, find the individual volume and then add up them to getthe whole volume.
Here we divide it into two separate parts. so we get as,
after solving, we get total volume as 1140 cm^3
Find the perimeter 8ft 4ft
pls help me i have a 0 for math
Answer:3p
Step-by-step explanation:
405 0p x 7
The volume of a child’s model plane is 1200cm3. The volume of the full size plane is 4050m3. Find the scale of the model in the form 1:n.
the scale of the airplane is 1/3 the size of its counter part
(05.01) A scale drawing of a kitchen is shown below. The scale is 1 : 20.
5 inches
4 inches
Show your work to determine the area of the room in square feet.
Answer:
500/9 or 55.56 ft²Step-by-step explanation:
Find the dimensions of the kitchen, convert to feet
5 in * 20 = 100 in = 100/12 ft = 25/3 ft4 in * 20 = 80 in = 80/12 ft = 20/3 ftThe area is
25/3 * 20/3 = 500/9 = 55.56 ft² (rounded)Answer:
5.56 ft² (nearest hundredth)
Step-by-step explanation:
Given:
width = 4 inlength = 5 inIf the scale is 1 : 20, then to scale up, multiply the width and length by 20:
⇒ width = 4 × 20 = 80 in
⇒ length = 5 × 20 = 100 in
Area = width × length
= 80 × 100
= 800 in²
1 ft = 12 in
⇒ 1 ft² = 12² in² = 144 in²
Therefore, to find the area of the room in square feet, divide the area in inches by 144:
⇒ area = 800 ÷ 144
= 5.56 ft² (nearest hundredth)
Surface area please help
Answer:
238
Step-by-step explanation:
First, you have to figure out the area for each of the boxes, and then you add all of the areas together
What is the product of 9 radical 5 and 5 radical 10 in simplest radical form?
Answer:
Step-by-step explanation:
(9√5) (5√10)
The leading interger product is found by multiplying 9 and 5
The leading integer product is 9*5 = 45
The radical product is (√5*10
Factor 10
radical product = √5*2*5
There are 2 fives underneath the radical. Take one out and ignore the other
radical product = 5√2
The 5 now multiplies by 45 and √2 becomes part of the answer
5*45√2
225√2
[tex]\sqrt{x}-2=\sqrt{x-10}[/tex]
Answer:
Exact Form:
49/4
Decimal Form:
12.25
Mixed Number Form:
12 1/4
Step-by-step explanation:
Isolate the radical, then raise each side of the equation to the power of its index.
√x-2=√x-10
x-4√x+4=x-10
-4√x+4=-10
-4√x=-10-4
-4√x=-14
√x=7
-
2
x= 49
---
44
The mean length of 10 childrens' index finger is 12.6cm.
The mean length of 6 adults' index finger is 16.1cm.
What is the mean length (rounded to 2 DP) of these 16 people's index finger?
Get total lengths by multiplying:
10 x 12.6 = 126
6 x 16.1 = 96.6
Add the total lengths together and divide by 16:
126 + 96.6 = 222.6
222.6 / 16 = 13.9125
Rounded to 2 decimal places = 13.91
answer: 13.91
Evaluate each algebraic expression.
3w + 4 ; w = 1/4, 7, -2
Solve for the exponential for x
Answer:
x = 1
Step-by-step explanation:
[tex]7^{4x-6}=\frac{1}{49}[/tex]
[tex]7^{4x-6}=7^{-2}[/tex]
4x - 6 = -2
4x = -2 + 6
4x = 4
(Divide both sides)
x = 1
Find the area of the triangle
Answer:
10.92cm square
Step-by-step explanation:
Area of a triangle= length * width/ 2
7.8*2.8=21.84
21.84/2=10.92
What is an equation of the line with slope -4/5 and y-intercept 2?
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - [tex]\frac{4}{5}[/tex] and c = 2 , then
y = - [tex]\frac{4}{5}[/tex] x + 2 ← equation of line
Find the average rate of change from x = 1 to x=5
Answer:
The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula
m = (y2 - y1)/(x2 - x1)
m = (1 - (-3))/(3 - 1)
m = 4/2
m = 2
Therefore the slope, or the average rate of change, between these points is 2.
Step-by-step explanation: