С
2 ft.
4 ft.
What is the perimeter? If necessary, round to the nearest tenth.
Answers
Answer:
10.47 to the nearest hundredth
Step-by-step explanation:
By Pythagoras
c^2 = 2^2 + 4^2 = 20
c = √20
c = 4.47
Perimeter = 2 + 4 + 4.472
The perimeter of the right-angled triangle is 6 + 2√(5) feet.
What is Pythagoras' theorem?Pythagoras' Theorem states that the square of the hypotenuse side of a right-angled triangle is equal to the sum of the squares of the other two sides.
Given that a right-angled triangle.
The perpendicular length is 2 feet, the base length is 4 feet.
We need to use the Pythagorean theorem to find the length of the hypotenuse, and then add up the lengths of all three sides to get the perimeter.
In this case, we can use it to find the length of the hypotenuse c:
2² + 4² = c²
4 + 16 = c²
20 = c²
c = √(20) = 2√(5)
Now we can add up the lengths of all three sides to get the perimeter:
Perimeter = a + b + c
Perimeter = 2 + 4 + 2√(5)
Perimeter = 6 + 2√(5) feet
Therefore, the perimeter = 6 + 2√(5) feet
To learn more about the Pythagoras theorem;
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Related Questions
A car travels 28 miles south and then 45 miles east around a lake. A boat leaves from the same place and arrives at the same place but travels directly from point A to point B. Calculate how many miles the boat and the car each traveled total. Then calculate who arrived first if the car was traveling at 40miles per hour and the boat traveled at 25 miles per hour.
Answers
Answer:
The car travelled 73 miles
The boat travelled 53 miles
The car arrived 17.7 minutes before the boat
Step-by-step explanation:
The total distance the car travelled from Point A to Point B = 28+45 = 73 miles
The total distance the boat travelled is given by the displacement; Using Pythagorean theorem = 53miles.
Time taken by the car = Distance/Speed = 73/40 = 1.825 hrs or 109.5 minutes
Time taken by the boat = Distance/speed = 53/25 = 2.12 hrs or 127.2 minutes.
The time taken by the car is the shortest, therefore it arrives first before the boat.
(◔‿◔)
How much are bike uses a petrol and oil mixture in the ratio 17:3.
A) how much of each is there in 25 litres of mixture?
Answers
By using the given ratio, we will see that 21.25L is petrol and 3.75L of oil.
How much of each component is used?We know that Petrol and Oil is used in a mix with a ratio of 17:3
Then, in 25 liters, then first we need to divide this by 20 (the sum of the two numbers of the ratio), we get:
25 L/20 = 1.25L
So we divided 25 liters in 20 parts. 17 of these parts are petrol, and 3 of these parts are oil
Then:
17*1.25L = 21.25L of petrol
3*1.25L = 3.75L of oil.
If you want to learn more about ratios, you can read:
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The solid below is made from cubes.
Find its volume.
Answers
Answer:
78.5 cm. cubed
Step-by-step explanation:
Answer:
60 cm cubed
Step-by-step explanation:
The perimeter of arectangular poultry farm is 38 meter . if 3 meter subtracted from its length and 2 meter from its breadth , the length will be two times the breadth .find the area of the farm
Answers
Answer:
82 2/9 square meters
Step-by-step explanation:
The problem statement gives us two relations between length and width. We can write those using equations and the variables L and W for length and widh, in meters.
P = 2(L +W) . . . . . . formula for the perimeter of a rectangle
38 = 2(L +W) . . . . . the perimeter is 38 meters
(L -3) = 2(W -2) . . . . length less 3 is twice the difference of wdith and 2.
__
Dividing the first equation by 2 gives ...
19 = L +W
Solving this for L gives ...
L = 19 -W
Substituting for L in the second equation, we have ...
(19 -W) -3 = 2(W -2)
16 -W = 2W -4 . . . . . . . simplify
20 = 3W . . . . . . . . . . . add W+4
W = 20/3 . . . . . . . . . divide by 3
L = 19 -20/3 = 37/3 . . . . find L from W
__
The area of the farm is the product of length and width:
A = LW = (37/3 m)(20/3 m) = 740/9 m²
A = 82 2/9 m²
The area of the farm is 82 2/9 square meters.
if the circumference of a round plate is a little over 31 inches. Estimate the diameter of the plate
Answers
Answer:
Step-by-step explanation:
diameter = circumference / π
= 31/π
= 9.9 ins to nearest tenth
you are traveling for work. You fly out of las vegas at 4:45 Am. you arrive in miami 6 hours later. what time is it when you arrive ? explain how you got your answer.
Answers
Answer:
The time wil be 1:45
Step-by-step explanation:
4:45 + 6 hours is 10:45
But since Miami is 3 hours ahead (different time zone), you
will add 3 hours. So that makes it 1:45 when you land!
Hope this helps!!
what is the period of the function y=3/2cot(3/5x)+5?
Answers
check the template in the picture below, thus
[tex]y = \stackrel{A}{\cfrac{3}{2}}cot\stackrel{B\qquad C}{\left( \cfrac{3}{5}x + 0 \right)}+\stackrel{D}{5}~\hfill \stackrel{\textit{\Large Period}}{\cfrac{\pi }{B}\implies \cfrac{\pi }{~~ \frac{3}{5}~~}\implies \cfrac{5\pi }{3}}[/tex]
The base of an isosceles triangle is represented by the expression 3x - 1. Each of the legs of the isosceles triangle is twice the base. Write an expression for the perimeter of the triangle listing each side. Simplify the expression. (if possible show your work.)
Answers
Answer: 15x-5
Step-by-step explanation:
What are all the values of x that make the inequality 8 - 3x < 20 true?
Answers
Let's solve this inequality.
First of all, subtract 8 from both sides:-
[tex]\sf{-3x < 20-8}[/tex]
[tex]\sf{-3x < 12}[/tex]
Divide both sides by -3:-
[tex]\sf{x > -4}[/tex]
Notice that the inequality sign changed...
Here's the rule:-
When you multiply/divide both sides by a negative number, you flip the inequality sign; so if we have "less than" it becomes "greater than" and so on...
So these are the values of x that will make the inequality true:-
[tex]\bigstar{\boxed{\pmb{The~numbers~greater~than~-4}}}[/tex]
Well, -3 is greater than 4 :)
Let's plug it in and see if it makes the inequality true:-
-3>-4
Yes, it does make the inequality true :)
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
.
How many degrees are in a circle?
180°
300°
90°
360°
Answers
Answer:
360
Step-by-step explanation:
each part of circle are divided into 360
1.2, 5.8, 3.7, 9.7, 5.5, 0.3, 8.1
what is the Median
Answers
Answer:
it would be 5.5
Step-by-step explanation:
0.3 1.2 3.7 5.5 5.8 8.1 9.7
Answer:
4.9
Step-by-step explanation:
Median; add up all the numbers then divide by the amount of data points
1.2 + 5.8 + 3.7 + 9.7 + 5.5 + 0.3 + 8.1
7 + 3.7 = 10.7
10.7 + 9.7 = 20.4
20.4 + 5.5 = 25.9
25.9 + 0.3 = 26.2
26.2 + 8.1 = 34.3
34.3 / 7 =4.9
Can someone please help me I will give u brainest please
Answers
Answer:
1/24
Step-by-step explanation:
1/2x1/2x1/6
"1/2" for which marble you choose
"1/2" for what the spinner lands on
"1/6" for what number the dice rolls
How many solutions does the system formed by x - y = 2 and ay - ax + 2a = 0 have for a nonzero
number a? Give your answer and complete the explanation.
The system has (select)
solution(s). Rearranging the left side of the 2nd equation and
subtracting 2a from both sides gives-ax + ay =
a. Dividing both sides by-a gives
x-y=
So, the equations describe the same line.
Answers
Answer:
1
y = 0
x = 2
Step-by-step explanation:
The first thing we want to do to solve a system of equations is to solve one of them in terms of a single variable.
Lets start with x - y = 2
If we add y to both sides we get: x = 2 + y
Now to solve the system of equations we can substitute that value for x into the other equation. In any system of equations a solution for one must be a solution for the other as well.
ay - ax + 2a = 0
When we substitute our value of x into this equation and get the folowing:
ay - a(2 + y) +2a = 0
ay -2a - ay + 2a = 0
All of the terms cancel out on the left side leaving us with:
0 = 0
This means that the only way this system can be solved is if y is equal to 0.
Going back to the first equation x - y = 2
x - 0 = 2 so x = 2
This is the only solution to that system of equations, which means it forms a point instead of a line.
3 L of water are shared equally among 5 friends. What fraction of a liter did each friend get?
Answers
Explanation: Simply divide 3 over 5. We cannot do much with the fraction since 3/5 can't be reduced. So we leave it as is.
3/5 in decimal form is exactly 0.6 and that converts to 60%, meaning each person gets 60% of a full liter.
Is –43 − –7 positive or negative?
Answers
First, -43-(-7) is the same as -43+7, which is equal to:-
-36
Is the answer positive or negative? The sign in front of 36 will tell us whether the number is positive or negative.
It is negative, because there's a minus sign next to it.
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Answer:
positive
Step-by-step explanation:
hope this helps.
Find y.
B
C
Зу
A
8 D
м
2
4
15
10
Answers
Answer:
y=4
Step-by-step explanation:
The question is asking what is the value of y:
Since all lengths have a dash on them they are all equal :
So 3y = y+8
3y = y + 8
First we subtract y from both sides:
3y-y = y+8-y
2y = 8
Divide both sides by 2:
2y÷2 = 8÷2
y = 4
If 30% of the 1000 cars on a lot are not hybrids, and 45% are not sedans, how many cars on the lot are hybrid sedans?
Answers
The number of cars that are hybrid sedans are = 250 cars
Calculation using a Venn diagramThe value of 30% of 1000 = 30/100× 1000
= 300 cars are not hybrids.
Therefore the number of cars that are hybrids = 300 - x
The value of 45% of 1000 = 45/100 × 1000
= 450 cars are not sedans
Therefore the number of cars that are sedans
= 450 - x
Where X is the cars that are both hybrid and sedans
Using the Venn diagram equation,
1000 = 300 -x + X + 450 - x
1000 = 750 - X
X= 750 - 1000
X = 250 cars
The number of cars that are hybrid is 300 - x where X = 250.
300 - 250 = 50 cars
The number of cars that are sedans is 450 - x. That is,
450 - 250 = 200 cars
Therefore, the cars that are both hybrid and sedans = 250 cars.
Learn more about Venn diagram equation here:
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I really need help with this.
Answers
Answer:
See attachment
Step-by-step explanation:
See attached image.
A plane flies the 1580 km from Cairo to Khartoum.
It departs from Cairo at 1155 and arrives in Khartoum at 1403.
Calculate the average speed of the plane, in kilometres per hour.
Answers
speed= distance/ time
= 1580/32/15
=1580/32 ×15
=740.625 km/hrs
time taken by plane:11:55 - 12:00= 5mins
12:00 - 14:03= 2hrs 3mins
total time:
=5 mins + 2hrs 3 mins
= 2hrs 8 mins
= ( 2 + 8/60) hrs
= 2 + 2/15
= 32/15 hrs
The shortest leg of a 30-60-90 triangle is 5 inches. How long is the hypotenuse?
10 inches
10√2 inches
10√3 inches
5√2 inches
Answers
Answer:
the 2nd one
Step-by-step explanation:
i did the test and got correct
PLEASE ANSWER!!!!
Yusuf tried to solve an equation step by step.
1/4r+2=10
Step 1:
1/4r=12
Step 2:
R=48
Find Yusuf's mistake.
Choose one answer:
A.) Step 1
B.) Step 2
C.) Yusuf didn't make a mistake
Answers
Answer:
Step-by-step explanation:
Step one is not correct. He got 12. He should have obtained 10 -2 = 8. You need to subtract 2 on the left to get rid of the 2 there. So you must subtract 2 on the right.
Answer: Step one contains the error.
Answer:
A. Step 1
Step-by-step explanation:
I did it on khan so its right
caitlyn is on her school's softball team. so far Caitlyn has 39 hits in 75 times at bat. what is her batting average?
Answers
Answer:
0.52
Step-by-step explanation:
[tex]batting \: average \: = \frac{39}{75} \\ = 0.52[/tex]
What is the slope of the line that passes through the points (-5, 6)and (-9,−6)? Write your answer in simplest form.
Answers
Answer:
4/5
Step-by-step explanation:
the slope formula is y(2)-y(1)/x(2)-x(1) which is
-6-6/-9-6=
-12/-15=
4/5
Find y.
Round to the nearest tenth:
290
500 ft
y
X
y = [ ? ]ft
Answers
Answer:
y = 242.4x = 437.3First find the inner angle:
90° - 29°61°[ given hypotenuse = 500 ft ]
using sine rule:
[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]
[tex]\hookrightarrow \sf sin(61)= \dfrac{x}{500}[/tex]
[tex]\hookrightarrow \sf x=sin(61)*500[/tex]
[tex]\hookrightarrow \sf x=437.3[/tex]
using pythagoras theorem:
a² + b² = c²y² + (437.3)² = 500²y = √58760.1y = 242.4Answer:
y = 242.4 ft (nearest tenth)
Step-by-step explanation:
Using the Alternate Interior Angle Theorem
the angle opposite side [tex]y[/tex] is 29°
Using the sine trig ratio:
[tex]\sf sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 29°O = [tex]y[/tex]H = 500 ftSubstitute given values and solve for y:
[tex]\sf \implies sin(29)=\dfrac{y}{500}[/tex]
[tex]\sf \implies y=500sin(29)[/tex]
[tex]\sf \implies y=242.2\:ft\:(nearest\:tenth)[/tex]
estimate the following square roots
8 is between ___ and ___ but closer to____
80 is between ___ and ___ but closer to____
140 is between ___ and ___ but closer to____
88 is between ___ and ___ but closer to____
250 is between ___ and ___ but closer to____
Answers
Answer:
8 is between 2 and 3 but closer to 3
80 is between 8 and 9 but closer to 9
140 is between 11 and 12 but closer to 12
88 is between 9 and 10 but closer to 9
250 is between 15 and 16 but closer to 16
Step-by-step explanation:
Hope this helps :)
To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?
Answers
Answer:
Step-by-step explanation:
Both lines have same slope so the graph of both equation will be same and hence it will overlap each other that is why the Henry could only see one line.
Step-by-step explanation:
Given : A system of linear equation 3x - 2y = 4 and 9x - 6y = 12
We have to show whey when Henry graphed the equations 3x-2y=4 and 9x-6y=12 he could only see one line.
Consider the given system of linear equation
3x - 2y = 4 ................(1)
9x - 6y = 12 ..................(2)
Since,
Equation (2) is multiple of equation (1),
3 × ( 3x - 2y = 4) = 9x - 6y = 12
Also the slope of given equations are same
For equation (1),
Differentiate with respect to x, we get,
3-2dy/dx = 0
dy/dx = 3/2
Also for equation (2),
Differentiate with respect to x, we get,
9 - 6dy/dx = 0
dy/dx = 9/6 = 3/2
Since, both lines have same slope so the graph of both equation will be same and hence it will overlap each other.
That is why the Henry could only see one line.
There are 85 students in a college mathematics class. Five students are
chosen to work on a project together. How many different groups of five
students are there in this class?
Answers
Answer:
17
Step-by-step explanation:
85/5=17
What about this one?
Answers
Answer:
108
Step-by-step explanation:
Okay here we see a diameter of 6 which is a line that shows the width of the whole circle. The radius is half of the diameter. So its 3. So its asking to use 3 for pie and the formula is 4/3 pie r^3. So we do 4/3 times 3 times 3^3 and we get 108. I hope this helps.
4x+8y=-11
X+2y=-7
Show your work
Answers
Answer:
No solutions.
Step-by-step explanation:
4x+8y=-11 (1)
X+2y=-7
Mutiply the second equation by -4:
-4x - 8y = 28
Now add this equation to equation (1):
0 + 0 = 17
which is absurd
So there are no solutions
Classify angles below as acute,obtuse,right,straight or reflex.
Answers
Answer:
Top is straight
Middle is reflex
Bottom is acute
Step-by-step explanation:
Straight is self explanatory
Reflex angles are greater than 180 and less than 360 degrees
Acute angles are under 90 degrees
Answer:
the very top one is straight.
8. reflex (because over 180 degrees)
9. acute (under 90 degrees)