The length of the wire is the perimeter of the wire
The radius of the circle is 1.59 meters
How to determine the radius of the circle?The length of the wire is given as:
L = 20m
When cut into two pieces, we have:
Perimeter of square = 10 mCircumference of circle = 10mThe circumference of the circle is calculated using:
C = 2πr
So, we have:
2πr = 10
Make r the subject
r = 10/2π
Evaluate the quotient
r = 1.59
Hence, the radius of the circle is 1.59 meters
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The length of the longer leg of a right triangle is 3 m more than three times the length of the shorter leg. The length of the hypotenuse is 4 m more than three times the length of the shorter leg. Find the side lengths of the triangle. Length of the shorter leg:
Answer:
7 m, 24 m, 25 m
Step-by-step explanation:
This problem can be solved by writing an equation expressing the given relationships and the Pythagorean theorem. Or, it can be solved by reference to common Pythagorean triples. Here, we're interested in a triple that has a difference of 1 between the hypotenuse and the longer leg. Such triples include:
{3, 4, 5}, {5, 12, 13}, {7, 24, 25}, {9, 40, 41}, {11, 60, 61}, ...
We note that for the triple {7, 24, 25}, the longer leg is 3 more than 3 times the shorter leg: 3 +3(7) = 24.
The side lengths are:
shorter leg: 7 mlonger leg: 24 mhypotenuse: 25 m__
In case you're unfamiliar with Pythagorean triples, or you want to write the equation, you can let s represent the length of the shorter side. Then the longer side is (3s+3) and the hypotenuse is (3s+4). The Pythagorean theorem tells you the relation is ...
(3s +4)² = (3s +3)² +s²
9s² +24s +16 = 9s² +18s +9 +s²
s² -6s -7 = 0 . . . . . subtract the left side and put in standard form
(s -7)(s +1) = 0 . . . . factor
s = 7 or -1 . . . . . . solutions to the equation
The side length must be positive, so the shorter leg is 7 meters long. Then the other two legs are ...
3s +3 = 3(7) +3 = 24 . . . . meters
3s +4 = 3(7) +4 = 25 . . . . meters
The side lengths are 7 m, 24 m, and 25 m.
Kaya rented a limousinefor prom. There was a one-time charge of $100 plus an hourly rate of $50 per hour. Her
total cost for the night was $300. How many hours did she rent the limo?
Answer using 2 step equations and X as variable
135.99 rounded to two significant figures
Answer:
1.3×10^1
Step-by-step explanation:
For this, you need to use scientific notation
First, let's round up the decimal points
135.99 = ~ 136
1.3 ×.10^1
Point q is located on the coordinate grid at (-9.73,-3.32) in which quadrant is point q called
Answer:
III
Step-by-step explanation:
The signs of both x and y are negative in the 3rd quadrant.
__
x-values are negative in the left half-plane.
y-values are negative in the bottom half-plane.
Both coordinates are negative in the lower-left quadrant, number III.
solve for x : -30 < -x/4
x > 120
Step-by-step explanation:
-30 < -x / 4
-30 x 4 < -x
x > 120
Answer:
ight so first you multiply by 4 to isolate x so you get -120<-x next you divide by -1 to get the x so the answer is 120 cause a negative and a negative cancel out and turns to a positive
Step-by-step explanation:
The equation representa Function A and the graph represents Function B
Answer:
D) Slope of Funcation B = - Slope of Function A
Step-by-step explanation:
The equation for the line is:
y=mx+b
Where m is the slope and b is the y-intercept
In this question, we are only interested in the slope.
For function A, we can see that the equation is f(x) = -2x + 1
Going back to the equation, we can see that -2 is the slope
Now for function B, we need to find the slope by looking at the graph.
To do this, you need to remember that the slope is y/x, or rise over run. (This is saying that every time the y happens, the x also happens. For example, if the slope is 1/2, every time the line goes up 1 unit, it goes to the right 2 units)
So for the function, we can see that when you move to the right 1 unit (run), you also move up 2 units (rise), so the slope would be
2
Comparing the slope of both the functions
Function A is -2
and
Function B is 2
So the answer is D
please help the question is attached below
Step-by-step explanation:
a)
we have 400 people. that is 10/10 of the whole group.
7/10 of the whole group drink tea. that is
400 × 7/10 = 40 × 7 = 280
that leaves 3/10 of the whole group not drinking tea
400 × 3/10 = 40 × 3 = 120
from the 280 tea drinkers 20% drink at lay e cups of tea each day. that is
280 × 20/100 = 28 × 2 = 56
because 20 out of 100 is the meaning of 20%.
and the remaining 80% of the tea drinkers drink less then 3 cups each day.
280 × 80/100 = 28 × 8 = 224
b)
out of the 400 people 56 drink at least 3 cups of tea each day. that is
56/400 = 7/50
One of the legs of a right triangle measures 5 cm and the other leg measures 11 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
c = 12.1 cm
Step-by-step explanation:
For this question, use the Pythagorean theorem.
a^2 + b^2 = c^2
Where a and b are the triangle's legs, and c is the hypotenuse.
(It doesn't matter what values you use for each for a and b)
a = 5 cm
b = 11 cm
c = ?
5^2 + 11^2 = c^2
25 + 121 = c^2
146 = c^2
square root both sides
√146 = √c^2
c = 12.08304 cm
But we need to the neasrest tenth then....
c = 12.1 cm
if xy=2√3 the value of x^4+y^4=?
Step-by-step explanation:
wrong question or incomplete question
What is the measure of angle x?
Enter your answer in the box.
+
1470
x =
1 2 3 4 5 6 7
5.
Answer:
x=43 degrees
Step-by-step explanation:
Subtract 47 from 90 to get the angle next to 47 degrees which is 43 degrees and x is also 43 degrees because they form vertical angles with each other
help step by step please!
Answer:
26 km2 (squared)
Step-by-step explanation:
Area of a triangle is H × B ÷ 2
= 6.5 × 8 ÷ 2
= 52 ÷ 2
= 26 km2 (squared)
CAN SOMEONE HELP PLS?? I rlly dont get this.
The little square on the angle means that the entire angle is 90 degrees
The larger angle is made up of two angles of measure 'x - 18' and 'x'
Let's put that into an equation form:
(x - 18) + (x) = 90
2x - 18 = 90
2x = 108
x = 54
So x = 54
Hope that helps!
You roll two number cubes
Let event A = You roll an even number on the first cube.
Let event B = You roll a 2 on the second cube.
Are the events independent or dependent? Why?
O A. Dependent, because both cubes have six sides.
O B. Independent, because the outcome of the first roll doesn't affect
the outcome of the second roll.
O C. Independent, because they have no outcomes in common.
D. Dependent, because 2 is an even number.
Answer: B: Independent, because the outcome of the first roll doesn't affect the outcome of the second roll.
Step-by-step explanation:
Events are independent when the outcome of one does not effect the other. Rolling dice for example: If you roll an even number on your first cube, there is no way that it will effect the roll on the second cube, hence the two events are independent.
Caden deposited $300 into a checking account. Each week he withdraws $12 from his account.
a) Write an equation to describe this sequence.
b) How many weeks can Caden go before he runs out of money?
Answer:
B i had this text and made a 100
Step-by-step explanation:
b
Find the value of each variable in the parallelogram.
Answer: m=35, n=110
Step-by-step explanation:
Consecutive sides have sum 180°
n+70=180n=180-70n=110And
2m+110=1802m=180-1102m=70m=35Beth and Brianne had a yard sale to raise money. They donated 2 of their profits to their 10 school sports teams, 3 to the animal shelter, and 1 to the hospital. Which model can be 10 10 used to find the total fraction of their profits that they donated? Explain your thinking.
Answer:
Model 1
Step-by-step explanation:
Model 1 correctly displays the amount of money Beth and Brianne donated and raised at the yard sale. 2/10 + 3/10 + 1/10 = 6/10 (this would be the total amount donated.If 6/10 was donate, 4/10 of the total profit still remains. Model 2 does not represent the total profit that the girls have remaining.A straight line has gradient - 1/2 and y-intercept 3.
Write the equation of the line in the form of ax + by + c
Answer:
[tex] - \frac{1}{2} x - y + 3 = 0[/tex]
Step-by-step explanation:
as shown in drawing
help help help help math math
Answer:
2
Step-by-step explanation:
the line is straight and is set on 2 so y<2
I really need this answer plss
Answer:
No No No No No No No No No No No No No
Which set shows an average of 4?
A) A
B) B
C) A and B
D) none of the above
Answer:
B
Step-by-step explanation:
A) 1 + 1 + 1 + 1 = 4
4 / 4 = 1
B) 4 + 4 = 8
8 / 2 = 4
Answer: B
Step-by-step explanation:
Answer the questions below about the quadratic function. g(x)=-2x^2+16x-31
Answer:
Hope it helps!!!Brainliest pls!!!
If abc is an equilateral triangle bc must be 2cm true or false?
Answer:
I would say False
Evaluate, show your steps tysm :)
~giving brainliest~
Answer:
-9/25
Step-by-step explanation:
-1^10 = -1
since (-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1) = -1
Anything to the power of 0 is 1 so -22^0 = 1
Now our equation is -1 + 1 -(3/5)^2
Simplifying this:
0 -9/25 =
-9/25
Answer:
in fraction: 41/25
= 1.64
Step-by-step explanation:
[tex](-1)^{10} =1[/tex]
[tex](-22)^{0} =1[/tex]
[tex](\frac{3}{5} )^{2} =\frac{9}{25}[/tex]
Then
[tex]1+1-\frac{9}{25} =2-\frac{9}{25} =\frac{50}{25} -\frac{9}{25} =\frac{41}{25}[/tex]
decimal: 1.64
Hope this helps
Geometry: Trig Pile Up Activity
The measure of the unknown angle is 53 degrees.
The length of the unknown side of the blue triangle is 4.43 cm
Right angle triangleRight angle triangle have one of its angles as 90 degrees.
The sum of angle in a triangle is 180 degrees.
Therefore, the measure of the unknown angle can be calculated as follows:
let
x = unknown angle
x = 180 - 90 - 37 = 53°
Therefore, let's find the unknow length of the blue triangle.
tan 53 = opposite / adjacent
tan 53 = 6.9 / a
a = 6.9 / 1.327
a = 5.1996985682
a = 5.2
The green triangle hypotenuse = 5.2 + (5.2 - 2.6) = 7.8 cm
Therefore,
sin 59 = opposite / 7.8
opposite = 7.8 × 0.8571673007
opposite = 6.68590494548
opposite side = 6.69 cm
The hypotenuse of the blue triangle = 6.69 - 2 = 4.69 cm
Therefore,
sin 71 = x / 4.69
x = 4.69 × 0.94551857559
x = 4.43448211956
x = 4.43 cm
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DRAW a model of 1/2 ÷ 4 if i see a link im going to report
Answer:
1/8
Step-by-step explanation:
John's employer increased his annual salary of $55,000 by $5,700. What percent was his raise, rounded to the nearest tenths place?
Answer:
3.64% (when rounded to the nearest hundredth)
Step-by-step explanation:
I'm assuming by 5700 you actually mean 57,000.
Calculate the percent change:
(57,000-55,000)/55,000 *100
(2000/55000)x100
0.036363x100
3.6363 rounded to the nearest hundredth is 3.64
Box size | number of mufffons
Small. 4
Medium. 6
Large. 8
Extra large 12
How many muffins are needed to fill all the boxes? Show your work
1. Whats the answer for this X + 2x + 8 = X = 10 + 6
2. Whats the answer for this X + 3 + 2x = X + 10 + 3
3. Whats the answer for this 5x + 2 = 2x + 10 + 4
4. Whats the answer for this 2x + X + 4 = 4x + 1
Answer:
The first one is 11x=16, the second one is 4x=16, and the next one is 7x=12, and the last one is 3=1x hope this helps
Step-by-step explanation:
Convert the unit of weight. Use 1 lb = 16 oz. Express your answer in exact simplest form. 3 lb = _____ oz
3lb= ⋅ = _____oz ?
Answer:
48
Step-by-step explanation:
one pound equals 16 ounces so multiply each side by three and you get that 3 lb equals 48 ounces
Answer:
48 oz
Step-by-step explanation:
We know 1 lb = 16 oz. That means that to find how many oz are in 3 lbs, you have to multiply 16 by 3. That equals 48.
Find the simple interest on the loan of $2500 for 2 years at 5%.
$
(Simplify your answer. Round to the nearest cent as needed.)
Answer:
Step-by-step explanation:
simple interest=prt
p=principle amount
r=rate
t=time
here p=$2500
r=5 %=0.05
t=2 years
simple interest=2500×2×0.05=$250
The simple interest on the loan of $2500 for 2 years at 5% is $250
How to determine the value?The formula for calculating simple interest is expressed as;
I = PRT/100
Such that the parameters of the formula are;
P is the principal amountI is the simple interestR is the interest rateT is the timeNow, substitute the values, we get;
Simple interest = 2500 × 5 × 2/100
Multiply the values
Simple interest =25, 000/100
Simple interest =$250
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