Answers
Answer:
22sqrt(3)/3
You are correct.
Step-by-step explanation:
You have a 30-60-90 triangle.
In a 30-60-90 triangle, the hypotenuse is twice the length of the short leg. The long leg is sqrt(3) times the length of the short leg.
You are given the length of the long leg.
1) Find the length of the short leg.
HG = GI/sqrt(3) = 11/sqrt(3)
2) Find the length of the hypotenuse, HI.
HI = 2HG = 2(11/sqrt(3)) = 2(11/sqrt(3))*(sqrt(3))/(sqrt(3)) = 22sqrt(3)/3
Related Questions
Mari has a part time job. She earns $7 an hour. She makes at most $143.50 a week. What is the greatest number of hours that she works?
Answers
Mari works at most 20 hours per week.
Explanation:To find the greatest number of hours that Mari works, we can divide her total weekly earnings by her hourly wage. In this case, we divide $143.50 by $7. The result is approximately 20.5. Since Mari cannot work a fraction of an hour, we round down to the nearest whole number. Therefore, the greatest number of hours she works is 20 hours.
How to find the rate of change of the volume of cone?
Answers
Wilma and Betty are playing a number game. Wilma tells Betty, "I'm thinking of a number between 1 and 10. If I take the number and add 4 to it and then multiply that by 3, I get 30." What number is Wilma thinking of?
Answers
(x+4)•3=30
Now solve :
(x+4)•3=30
3x+12=30
-12 -12
3x=18
/3 /3
x=6
Your answer is 6!
Hoped I helped!
A cylinder has a radius of 6 inches and a height of 2 feet. Which of the following should be done first in order to find the volume of the cylinder?
convert the radius and the height to the same unit
determine the diameter of the circle
calculate the circumference of the circle
multiply the circumference of the circle by the height of the cylinder
Answers
Which equation exemplifies the Associative property of addition?
8+2=2+8
4+(2+1) = (4+2)+1
4+5=1+8
9(5•6)=(9•5)6
Answers
2) A(-4
3) B(4+(2+1)=4+2)+1
4) D(3(2x4)=(3x2)4
5) A(5+6=6+5
6) C(12x1=1x12
7) D(Exponents
8) A(addition and subtraction
9) A(55
10) B(19
Answer:
Equation which exemplifies the associative property of addition is:
4+(2+1) = (4+2)+1
Step-by-step explanation:
The associative property of addition says that:
if a,b and c are the three terms
Then,
a+(b+c)=(a+b)+c
which is given in the equation:
4+(2+1) = (4+2)+1
Hence, equation which exemplifies the associative property of addition is:
4+(2+1) = (4+2)+1
What is the perimeter of a polygon with vertices at (−2, 1) , (−2, 4) , (2, 7) , (6, 4) , and (6, 1) ?
Enter your answer in the box. Do not round any side lengths.
____ units
Answers
[tex]d = \sqrt{{(y2 - y1)}^{2} + {(x2 - x1)}^{2} } [/tex]
[tex]d1 = \sqrt{{(1 - 4)}^{2} + {( - 2 - - 2)}^{2} } \\ = \sqrt{{(- 3)}^{2} + {(0)}^{2} } = \sqrt{9} \: = 3[/tex]
[tex]d2 = \sqrt{{(4 - 7)}^{2} + {( - 2 - 2)}^{2} } \\ = \sqrt{{(- 3)}^{2} + {( -4)}^{2} } = \sqrt{9 + 16} \\ = \sqrt{25} \: = 5[/tex]
[tex]d3 \: = \sqrt{{(7 - 4)}^{2} + {(2 - 6)}^{2} } \\ = \sqrt{{(3)}^{2} + {( - 4)}^{2} } = \sqrt{9 + 16} \\ = \sqrt{25} \: = 5[/tex]
[tex]d4 = \sqrt{{(4 - 1)}^{2} + {(6 - 6)}^{2} } \\ = \sqrt{ {(3)}^{2} + {(0)}^{2} } = \sqrt{9} \: = 3[/tex]
[tex]d5 = \sqrt{{(1 - 1)}^{2} + {(-2 - 6)}^{2} } \\ = \sqrt{ {(0)}^{2} + {( - 4)}^{2}} = \sqrt{16} \: = 4 [/tex]
Now, we add all sides for the perimeter:
p = d1 + d2 + d3 + d4 + d5
p = 3+5+5+3+4 = 20 units
The other answer was using the formula correctly through most of the problem, but made a mistake when finding the last distance (#5). The person took away (-2-6 = - 4), which is incorrect. The correct answer is -8 because your adding two negatives. So, the correct answer for the whole problem is 24 units.
Good job to the person who answer they did the whole math problem - just made a little mistake at the end.
Is this statement true or false? If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.
Answers
The statement " If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are paralle " is true.
What is Property of Parallel lines?If the corresponding angles created by any two lines are equal, then the lines are said to be parallel.If the alternate internal angles created are equal, any two lines are considered to be parallel.If the alternate outside angles created are equal, any two lines are considered to be parallel.Given:
If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.
We know whenever we have parallel line intersected by transversal line then we Alternate Interior Angle, Corresponding Angle, Alternate Exterior Angle, are congruent.
Thus, the statement showing when we have Alternate Interior Angle congruent then the lines were be parallel lines.
Hence, the statement is True.
Learn more about Parallel line here:
https://brainly.com/question/16701300
#SPJ2
How to find third point between two points given coordinates?
Answers
Put in values into the equation; (x₁+x₂)/2, (y₁+y₂)/2
This equation will give you the coordinates for the point in the middle (x, y).
Hope I helped :)
HELP PLEASE!!!!!!!
Simplify 6r · s · 4rt.
10rst
10r2st
24r2st
Answers
Here’s why:
First multiply 6 and 4 to get 24.
The multiply r, r, s, and t to get r^2st.
The answer is 24r^2st.
Answer:
24r^2*s*t
Step-by-step explanation:
We can simply the following expression by looking at the which terms are common:
[tex]6*r*s*4*r*t[/tex]
We have two of r and according to the product rule we can add there exponents:
[tex]r*r=r^(1+1)=r^2[/tex]
Therefore the expression can be simplified as:
[tex]=6*4*s*t*r^2=24*s*t*r^2[/tex]
PLEASE SHOW ALL YOUR WORK TO GET BRAINLIEST AWARD
Solve by using a matrix
{7x+2y=5
{13x+14y=-1
Answers
// Solve equation [2] for the variable y
// Plug this in for variable y in equation [1]
// Solve equation [1] for the variable x
// By now we know this much :
x = 1 y = -13x/14-1/14// Use the x value to solve for y
Three consecutive odd integers have a sum of 33 . find the integers.
Answers
9, 11, and 13 are all odd integers and are consecutive. When added, they total to give you 13
Which set of ordered pairs could be generated by an exponential function?
A. (1, 1) (2, 1/2) (3, 1/3) (4, 1/4)
B. (1, 1) (2, 1/4) (3, 1/9) (4 1/16)
C. (1, 1/2) (2, 1/4) (3, 1/8) (4, 1/16)
D. (1, 1/2) (2, 1/4) (3, 1/6) (4, 1/8)
Answers
y=2^-x
The correct answer is:
C. (1, 1/2) (2, 1/4) (3, 1/8) (4, 1/16)
Explanation:
In order to be an exponential function, the y-coordinates of each point should be multiplied by a constant to get the next y-coordinate. For C, we multiply by 1/2:
1/2(1/2) = 1/4; 1/4(1/2) = 1/8; 1/8(1/2) = 1/16
This means it is an exponential function.
If a 16-ounce box of candy costs $8.95, how much does one ounce cost? Round your answer to the nearest cent.
Answers
$8.95 ÷ 16 = ?
Now, all you would have to do it solve it.
$8.95 ÷ 16 = $0.559375
The last step would be to round to the nearest cent.
$0.559375 = $0.56
A box of candy cost $0.56 per ounce.
I hope this helps!
A line-marking machine lays down lime powder to mark two equal foul lines on a playing field. If each line for this field measures 311 feet, how many feet of lime powder will be deposited?
Answers
2 lines * (311feet/lines)= 622 feet.
The machine will deposit 622 feet of lime powder to mark both foul lines on the playing field.
To solve this problem, we need to consider that the line-marking machine is laying down lime powder to mark two equal foul lines on a playing field. Each foul line measures 311 feet.
Since there are two lines of equal length, we simply need to add the lengths of these two lines together to find the total amount of lime powder deposited.
Here is the calculation:
Length of one foul line = 311 feet
Number of foul lines = 2
Total length of lime powder deposited = Length of one foul line [tex]\times[/tex] Number of foul lines
Total length of lime powder deposited = 311 feet [tex]\times[/tex] 2
Total length of lime powder deposited = 622 feet.
Can y'all help me with 7,8,9?????
Answers
The two trains travel for the same amount of time, but because their speeds are different, they travel different distances. The two distances add to 450 miles.
distance = speed * time
For the commuter train, you have distance d1, time t, and speed s.
For the express train, you have distance d2, time t, and speed s + 25.
The time is 6 hours, so,
For the commuter train, you have distance d1, time 6, and speed s.
For the express train, you have distance d2, time 6, and speed s + 25.
d = st
Commuter:
d1 = st
Express
d2 = (s + 25)t
Add the equations:
d1 + d2 = st + (s + 25) t
d1 + d2 = st + st + 25t
d1 + d2 = 2st + 25t
d1 + d2 = (2s + 25)t
The two distances add to 450 miles, d1 + d2 = 450, and t = 6.
450 = (2s + 25)(6)
75 = 2s + 25
50 = 2s
s = 25
The commuter train's speed is 25 mph.
The express train's speed is 50 mph.
Check:
distance = speed * time
In 6 hours, the commuter train travels d = 25 mph * 6 hours = 150 miles.
In 6 hours, the express train travels 50 mph * 6 hours = 300 miles.
150 miles + 300 miles = 450 miles.
The distances do add to 450 miles and the speed of the express train is 25 mph faster, so our answer is correct.
On a clear day you can see about 27 miles from the observation deck of the Empire State Building in New York City. Using the formula below, estimate the height in feet ,h, of the observation deck.
Answers
Answer:
Step-by-step explanation:
Alright, lets get started.
Distance we can see from the building d is given as 27 miles.
We are asked to find height of the building h
The formula is given as [tex]d=\frac{5}{6}\sqrt{h}[/tex]
Plugging the value of d
[tex]27=\frac{5}{6}\sqrt{h}[/tex]
Cross multiplying
[tex]\sqrt{h}=\frac{6}{5}*27[/tex]
[tex]\sqrt{h}=32.4[/tex]
Taking square root on both sides
[tex]h=1049.76[/tex]
So, the height of the observation desk is 1050 feet. : Answer
Hope it will help :)
3(6/8−1/2)+0.25 Please help with fractions
Answers
Now we do 1/4 * 3 = 3/4 or 0.75
Finally, we do 3/4 + 0.25 [1/2] = 5/4 or 1.
Hope this helps! ☺♥
[tex]3( \frac{6}{8} - \frac{1}{2}) + 0.25[/tex]
[tex]3( \frac{3}{4} - \frac{1}{2}) + 0.25[/tex]
[tex]3( \frac{1}{4}) + 0.25 [/tex]
[tex] \frac{3}{4} + 0.25 = 1 [/tex]
Good luck!
Chris draws an image of two lines that lie in the same plane and are equidistant at all points .Which of this describes the image drawn by Chris
Answers
By definition. parallel lines are equidistant at all points.
The answer for this question is parallel lines
((8x1.95) + (3x2.95) + 10.95) x 1.06
Answers
Can someone help?!
1. List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length:
Width:
Height:
Answers
Answer:
Length
Step-by-step explanation:
mhm
1) The dimensions of the rectangular prism or box which I found are:
Length: 6 inchesWidth: 2.5 inchesHeight: 12 inches (1 foot)2) The shape of the cross-section when the box is cut parallel to the base will be a rectangle.
3) Surface Area of the box is234 in²
4) Surface Area of the box if scaled up by a factor of 10 is 23,400 in²
5) Volume of the box: 180 in³
6) Volume of the box if scaled down by a factor of 1/10 is 0.18 in³
Given:
Dimensions of the box to be:
Length: 6 inches
Width: 2.5 inches
Height: 12 inches (1 foot)
1) The shape of the cross-section when the box is cut parallel to the base will be a rectangle.
2) To calculate the surface area of the box:
Surface Area = 2*(Length*Width + Length*Height + Width*Height)
Surface Area = 2*(6*2.5 + 6*12 + 2.5*12)
Surface Area = 2*(15 + 72 + 30)
Surface Area = 2*(117)
Surface Area = 234 in²
3) If the box is scaled up by a factor of 10, the new dimensions would be:
Length: 6 inches * 10 = 60 inches
Width: 2.5 inches * 10 = 25 inches
Height: 12 inches * 10 = 120 inches
To find the new surface area:
New Surface Area = 2*(60*25 + 60*120 + 25*120)
New Surface Area = 2*(1500 + 7200 + 3000)
New Surface Area = 2*(11700)
New Surface Area = 23,400 in²
4) The volume of the box:
Volume = Length * Width * Height
Volume = 6 * 2.5 * 12
Volume = 180 in³
5) If the box is scaled down by a factor of 1/10, the new dimensions would be:
Length: 6 inches * 0.1 = 0.6 inches
Width: 2.5 inches * 0.1 = 0.25 inches
Height: 12 inches * 0.1 = 1.2 inches
To find the new volume:
New Volume = Length * Width * Height
New Volume = 0.6 * 0.25 * 1.2
New Volume = 0.18 in³
Full Question:
Although part of your question is missing, you might be referring to this full question:
Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.
Complete the following. Show all work for calculations.
List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length:
Width:
Height:
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of 1/10?
A CD tower is shaped like a cylinder and holds CDs with a diameter of 4.75 inches. If the CD tower is 12 inches tall, what is the volume, in cubic inches, that it can hold? Use 3.14 for pi. Round your answer to the nearest hundredth.
212.54 in3
231.56 in3
850.16 in3
867.34 in3
Answers
(3.14)[.5(4.75)]^2(12)=212.53875
=212.54 in^3
Answer: 212.54 in3
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder: π r² h
Where:
r = radius (also r= diameter /2) h= heightReplacing with the values given:
r = 4.75/2 = 2.375 in
h = 12in
V = π r² h
V= π (2.375)² (12) = 3.14 (5.640625) 12 =212.54 in3
So, the correct option is 212.54in3
Feel free to ask for more if needed or if you did not understand something.
A survey at your school found that 792 in 1,220 students have a cell phone. what percent of the students in school has a cell phone? round to the nearest hundredth where necessary.
Answers
=0.65
0.65x100=65
So 65% of the students in the school has a cell phone.
64.84% of the students in the school have a cell phone.
To find the percentage of students with cell phones, divide the number of students with cell phones by the total number of students, then multiply by 100.
Find the fraction of students with cell phones: [tex]\( \frac{792}{1220} \)[/tex].
Divide to get the decimal: [tex]\( \frac{792}{1220} = 0.6484 \)[/tex].
Multiply by 100 to get the percentage: [tex]\( 0.6484 \times 100 = 64.84\% \)[/tex].
125m on the ground corresponds to 2.5 cm on a map. What is the actual distance between two objects if they are 4.2 cm apart on the map?
Answers
.5cm = 25m
.1cm = 5m
4.2cm = 21m
The distance is 21m
You have 125 m with 2.5 cm so we divide 125 by 2.5 to find out how many m are represented by each meter in the graph. We get 50, then multiply 50 by 4.2 to get the answer.
Yulian works at the zoo feeding the animals. He puts water in the elephant habitat at the beginning of the day. This table shows how much water, in gallons, remains at different times during the day. Time (h) 2 4 6 8 Water remaining (gal) 43 36 29 22 What is the equation that represents Yulian’s situation, where x represents the time and y represents the amount of water? Enter your answer in the boxes. y−29=___ (x−___ )
Answers
time (h): 2 4 6 8
gallons: 43 36 29 22
A graph of the data shows a linear relationship.
Therefore in slope-intercept form, let
(y - 29)/(x - 6) = m
where m = the slope of the straight line.
Calculate the slope.
m = (43 - 22)/(2 - 8) = -7/2
Answer: [tex]y-29 = - \frac{7}{2} (x-6)[/tex]
How is 10 ounces written using apothecary abbreviations?
Answers
Apothecary abbreviations or apothecary symbols are usually found in medical recipes. For this case, we are to write 10 ounces into apothecary symbols. In this abbreviation, numbers are written in Roman Numeral and the unit precede the number, hence:
oz x
10 ounces can be written as 10 oz in apothecary abbreviations.
Explanation:To write 10 ounces using apothecary abbreviations, we need to convert ounces to the appropriate apothecary unit. In the apothecary system, 1 ounce is abbreviated as oz. So, 10 ounces would be written as 10 oz in apothecary abbreviations.
Learn more about Apothecary abbreviations here:https://brainly.com/question/6496327
#SPJ6
The measure of each interior angle of a regular polygon is eleven times that of an exterior angle how many sides does the polygon have
Answers
180(x-2)/x=11*360/x
180(x-2)=11*360
x-2=11*2
x-2=22
x=24
the polygon has 24 sides.
The polygon would have 24 sides.
[tex]\frac{180n - 360}{n}[/tex] ≈ [tex]\frac{360}{n}[/tex] ([tex]\frac{11}{1}[/tex])
[tex]\frac{180n - 360}{n}[/tex] = [tex]\frac{3960}{n}[/tex]
180n - 360 = 3,960
180n = 4,320
n = 24
The oil tank in your car is leaking at a rate of 1.2 oz per mile driven. You drove 15 miles over to your grandma house . How many cups of oil did your car leak ?
Answers
There are 8 oz in a cup so
8 times 3 is 24 which is to high
So 8 times 2 is 16 leaving about 4 oz left
So it would be 2 cups and 4 oz leaked out
Ps if u could rate my answer that would be great
The oil tank in your car is leaking at a rate of 1.2 oz per mile driven. You drove 15 miles over to your grandma's house. Therefore, it would be 2 cups and 4 oz leaked out.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
The oil tank in your car is leaking at a rate of 1.2 oz per mile driven. You drove 15 miles over to your grandma's house.
There are 8 oz in a cup
So,
8 x 3 = 24 which is too high
So,
8 x 2 = 16 leaving about 4 oz left
Therefore, it would be 2 cups and 4 oz leaked out.
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ2
Select the equation that most accurately depicts the word problem.
The perimeter of a rectangle is 68 inches. The perimeter equals twice the length of L inches, plus twice the width of 9 inches.
68 = 9L + 2
68 = 2L + 2(9)
68 = 9(L + 2)
68 = + 2(9)
68 = +
68 = 2(L - 9)
Answers
hope that helps, God bless!
Answer:
68 = 2L + 2(9)
Step-by-step explanation:
A car traveled 360 km in 6 h. A train traveled 400 km in 8 h. A boat traveled 375 km in 5 h. Which has the fastest average speed
Answers
The most Kilometers traveled per one hour was traveled by THE BOAT at 75 Km/h. Therefore, the boat had the fastestaverage speed.
Find the derivative of f(x) = 7 divided by x at x = 1.
Answers
F(x) = 7/x
Same as..
F(x) = 7x^-1
Take derivative..
F'(x) = -7x^-2
Plug in x = 1
F'(1) = -7(1)^-2
F'(1) = -7
The solution is, the derivative of f(x) = 7 divided by x at x = 1 is -7.
What is derivative?A derivative is described as either the rate of change of a function, or the slope of the tangent line at a particular point on a function.
here, we have,
given that,
the derivative of f(x) = 7 divided by x at x = 1.
so, we get,
F(x) = 7/x
Same as..
F(x) = 7x^-1
we know that,
d/dx (x^n) = n*x^n-1
so, using this, we get,
Take derivative..
F'(x) = -7x^-2
Plug in x = 1
F'(1) = -7(1)^-2
F'(1) = -7
Hence, The solution is, the derivative of f(x) = 7 divided by x at x = 1 is -7.
To learn more on derivative click:
https://brainly.com/question/12445967
#SPJ3