Answers
Answer:
[tex]\boxed {\boxed {\sf b= \sqrt{192}}}[/tex]
Step-by-step explanation:
Since this is a right triangle, we can use Pythagorean Theorem to find the sides.
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
In this triangle, 8 and x are the legs because they form the right angle. 16 is the hypotenuse because it is opposite the right angle.
[tex]a=8 \\c=16[/tex]
Substitute the values into the formula.
[tex]8^2+b^2=16^2[/tex]
Solve the exponents.
8² = 8*8= 64 16²=16*16=256[tex]64+b^2=256[/tex]
Subtract 64 from both sides to isolate the variable.
[tex]64-64+b^2= 256-64 \\b^2=192[/tex]
Take the square root of both sides.
[tex]\sqrt {b^2}=\sqrt{192}\\ b=\sqrt{192}[/tex]
The missing side is equal to √192
Related Questions
6) You are shooting the puck along the path
seen in the picture of the air hockey table.
Find the mZxº and the mzmº.
Answers
Answer:
m = 58°
x = 64°
Step-by-step explanation:
When a puck touches one side of the air hockey table,
All the angles formed are located at a point on a straight line.
Therefore, sum of angles formed is 180°.
m° + m° + 64° = 180°
2m + 64 = 180
2m = 180 - 64
2m = 116
m = 58°
m∠y = m = 58° [Alternate interior angles]
Similarly, on the other side of the table,
58° + y° + x° = 180°
58° + 58° + x° = 180°
x + 116° = 180°
x = 180 - 116
x = 64°
Choose the correct answer.
Between the years 1970 and 1976, what percentage change in the rate of exchange occurred in the German mark relative to the United States dollar (to the nearest percent)?
%
Answers
answer:
Between the years 1970 and 1976, what percentage change in the rate of exchange occurred in the German mark relative to the United States dollar (to the nearest percent)?
45 %
The percentage change in the rate of exchange occurred in the German mark relative to the United States dollar is 45%
How to determine the change in the rates?From the chart (table), we have the following rates in Germany:
Rate in 1970 = 27.42Rate in 1976 = 39.74The percentage change is then calculated using:
Percentage change= (Final - Initial)/Initial * 100%
This gives
Percentage change= (39.74 - 27.42)/27.42* 100%
Evaluate the quotient
Percentage change= 0.45* 100%
Evaluate the product
Percentage change= 45%
Hence, the percentage change in the rate of exchange occurred in the German mark relative to the United States dollar is 45%
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an object is traveling on a circle with a radius of 5 cm. if in 20 seconds a central angle of 1/3 radian is swept out, what is the angular speed of the object? what is the linear speed?
Answers
what is a shape that has no sides the same length that is a quadrilateral
Answers
Answer:
Step-by-st
Bitly: URL Shortener - Short URLs & Custom Free Link ...bitlep explanation:
PLEASE HELP DUE TODAY HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
it's the first one
Step-by-step explanation:
you'd get each output (y) when you subtract 4 from whatever x is
1. The angle of depression from the top of the
school to the base of the flag pole in front of
the school is 50°. If the flag pole is 35 feet from
the base of the school, find the height of the
school.
Answers
Answer:
41.7feet
Step-by-step explanation:
From the question we are given the following
angle of depression = 50°
Distance of the pole from the base of the feet = 35feet (Adjacent)
Required
height of the school (opposite)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 50 = H/35
H = 35tan 50
H = 35(1.1918)
H = 41.7feet
Hence the height of the school is 41.7feet
5. At the end of the performance, the band marches off the field to the right, moving the entire sine curve. Asa grabs his camera to takes a picture of the entire football field. At the instant he takes the picture, the first person forming the curve now stands at the 5 yard line. What is the equation of the sine curve representing the position of the band members in Asa’s picture?
Answers
While playing, they move, but still maintain the sinusoidal function, ... 5.At the end of the performance, the band marches off the field to the ... Asa grabs his camera to takes a picture of the entire football field. At the instant he takes the picture, the first person forming the curve now stands at the 5 yard line.
What does x equal please help
Answers
Answer: 5 1/2 (5.5)
Step-by-step explanation:
add 4 2/3 to 5/6
What should be done to both sides of the equation in order to solve y - 4.5 = 12.2?
Answers
To solve the equation y - 4.5 = 12.2 we have to add 4.5 on both sides of the equation.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is y - 4.5 = 12.2
y minus four point five equal to twelve point two.
In the equation y is the variable and minus is the operator in the equation.
To solve the equation we have to isolate the variable y.
To isolate the variable y we have to add 4.5 on both sides of the equation
y-4.5+4.5=12.2+4.5
y=16.7
Hence, to solve the equation y - 4.5 = 12.2 we have to add 4.5 on both sides of the equation.
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Marie's dad drives an SUV that uses 2.5 litres of fuel for every 20 km driven. He drives to work 20 km each way, 5 days a week. How much fuel does he use to get to work every week?
Answers
Answer: 12.5 litres
Step-by-step explanation:
The SUV takes 2.5 litres for every 20 km driven.
The trip to work is 20 km which means that going to work costs Marie's father 2.5 litres every day in fuel.
In a week, there are 5 working days.
The amount of fuel used per week is therefore:
= 2.5 * 5
= 12.5 litres
Help Please!!!!! (Look at picture
Answers
How much Interest(in dollars) is earned by Investing $2200 at a simple interest rate of 8% for 12 years? Write the correct answer.
Answers
A = $4,312.00
I = A - P = $2,112.00
hey!
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year.
Solving our equation:
A = 2200(1 + (0.08 × 12)) = 4312
A = $4,312.00
The total amount accrued, principal plus interest, from simple interest on a principal of $2,200.00 at a rate of 8% per year for 12 years is $4,312.00.
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Answers
The ratio of cement to gravel in a road
surface is 3:17. Find the percent
of cement in the mixture.
Answers
A group of students was asked about the number of e-mails they each sent
that day. The results are:
0,0,0,0,1,2,2,3,5,5, 8, 9, 10, 10, 10
Which histogram correctly shows the data set?
Answers
Answer:
C
Step-by-step explanation:
It was right on the quiz
Answer:
It’s B
explanation:
helllllllllllllp me please i just wanna finish this worksheet
Answers
Answer:
what
Step-by-step explanation:
4.
Find the area of the shaded region.
A. 5x2 + 16x – 21
B. 7x2 + 28x + 27
C. 5x2 + 28x + 27
D. 5x2 + 28x + 21
Answers
Answer:
yay
Step-by-step explanation:
yayyayyayyayyayyyayyayayayyayaya
Answer:
D. 5x2 + 28x + 21
Step-by-step explanation:
First you want to find the area of the white rectangle
Then find the area of the beings rectangle
Then subtract beings minus white.
Sorry it’s +21. The first answer in your list
then thats correct
...............................................................................................................................................
5x^2+28x+21 confirmed from Cortez himself
please help please!!!
Answers
I think the anwser is c -2 and 9
7 ⅓ ÷ 225 =
answer this question plz
Answers
Answer:
0.03259..
Step-by-step explanation:
Jason wants to create a box with the same volume as the one shown below. He wants the length to be 4 inches. What would be the measurements of the width and height?
Answers
Answer:
Width-6
height-3
I determinded the width and the height by counting how many cubic blocks there are up and down.
Step-by-step explanation:
The measurements of the width and height can 3 inches each or 1 and 9 inches.
What is volume of cuboid?The volume of the cuboid is defined as the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height. The volume of a cuboid is equal to the product of length, width and height of a cuboid.
Given data as :
Jason wants to create a box with the same volume as the one shown
To determine measurements of width and height of box
Volume of given box (cuboid) = 6 × 2 × 3
Volume of given box = 36
length to be 4 inches.
length × width × height = 36
⇒ 4 w × h = 36
⇒ w × h = 9
Now multiplication factors of 9 as
9 = 1 × 9
9 = 3 × 3
So, width and height can 3 inches each or 1 and 9 inches.
Hence, the measurements of the width and height can 3 inches each or 1 and 9 inches.
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7 x 10 + 3 x 1 + 8 x
+ 5 x
100
1,000
Answers
Answer:
8x+5005073
Step-by-step explanation:
Gavyn was thinking of a number. Gavyn doubles it, then adds 14 to get an answer of 17.2. What was the original number?
Answers
Answer:
Original number we'll call "x".
2x + 14 = 17.2
x = 1.6
Step-by-step explanation:
Answer:
Original number we'll call "x".
2x + 14 = 17.2
x = 1.6
Step-by-step explanation:
Learn
the Question is on the image
Answers
Choose the item that does NOT have a measurable volume.
a dollar bill
air
a box of crackers
a water bottle
Answers
Answer:
Air
Step-by-step explanation:
You can't really measure air
Answer:
Air
Step-by-step explanation:
You cannot measure air because it is invisible.
Which of the following expressions represents the solution to x – 3 > -4?
a. x > -7
b. x > -1
c. x < 12
d. x > 12
Answers
Step-by-step explanation:
x - 3 > -4
= x > -4+3
= x > -1 _ Answer
Please help me I will give u points whenever u wanna only Percy answers pleaseee ❤️
And don’t forget about explain
Answers
Answer:
this point is 72 digri ok
Part B
What percentage of Americans would you predict wear glasses?
Answers
Answer: 64%
75% of adults use some sort of vision correction. About 64% of them wear eyeglasses, and about 11% wear contact lenses, either exclusively, or with glasses. Over half of all women and about 42% of men wear glasses.
63.8% of Americans are predicted to wear glasses
How to determine the percentage?The given parameters are:
Glasses = 638Sample size = 1000The percentage of Americans that wear glasses is calculated as:
Percentage = Glasses/Sample size
This gives
Percentage = 638/1000
Evaluate the quotient
Percentage = 0.638
Express as percentage
Percentage = 63.8%
Hence, 63.8% of Americans would wear glasses
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On a snorkeling trip, Dave dove at least 7 times as deep as Amy did. If Dave dove below 35 feet below the oceans surface, what was the deepest that Amy dove?
Answers
Answer:
The deepest that Amy dove below the ocean's surface is 5 feet.
Step-by-step explanation:
Let the deepest that Amy dove below the ocean's surface be x.
7x = 35
x = 5 ft
Is it possible for the rug to have an area of 71.25 square feet? If it is possible, give approximate dimensions of the rectangle and explain your work. If it is not possible, explain why not.
Answers
Answer:
Yes 2*35.625
Step-by-step explanation:
Just divide by two and now you have dimensions for a rug that has an area of 71.25
Yes, Is it possible for the rug to have an area of 71.25 square feet.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
A rug weaver wants to create a large rectangular rug.
Now, From the figure;
Area (S) = (8 + x) (9 - x)
= - x² + x + 72
= - (x² - x + 1/4) + 1/4 + 72
= - (x - 1/2)² + 72.25
Hence,
S (max) = 72.25 square feet
And, 72.25 > 71.25
Thus, Is it possible for the rug to have an area of 71.25 square feet.
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Complete question is shown in figure.
can someone pls simplify this
[tex] \frac{105}{12} [/tex]