Use Pythagorean theorem to find right triangle si
Find the value of x in the triangle shown below.
C
9
3
Answers
3 x 3 = 9
81 + 9 = 90
square root of 90 = 9.5
The length of x is 3√10 units.
What is Pythagoras Theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. This theorem can be expressed as the Pythagorean equation, which is an equation connecting the lengths of the sides a, b, and the hypotenuse c. Pythagoras, a Greek philosopher who was born around 570 BC, is remembered by the theorem's name. The theorem has likely been proved the most times of any mathematical theorem using a variety of techniques.
As per the given data:
Perpendicular = 9 units
Base = 3 units
Using Pythagoras theorem to find x (hypotenuse):
[tex]x^2 = 9^2 + 3^2\\x^2 = 81 + 9\\x^2 = 90\\x = \sqrt{90}\\x = \sqrt{9\times10}\\x = 3\sqrt{10}[/tex]units
Hence, the length of x is 3√10 units.
To learn more about Pythagoras theorem, click:
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Related Questions
What is the height of the triangle?
17 units
34 units
51 units
68 units
Answers
Using right triangle formula we will get 51 explanation in the picture
the sum of all but one interior angle of a heptagon is 776°. what is the measure of the final interior angle?
Answers
Answer:
The final interior angle = 124°
Step-by-step explanation:
A heptagon has 7 sides. The sum of the interior angles formula:
The sum of the interior angles = (n - 2)180 where n = number of sides.
The sum of the interior angles= (7 - 2)180° = 900°
Six interior angles = 776°.
The final interior angle + six interior angle = 900°
The final interior angle + 776° = 900°
The final interior angle = 900° - 776°
The final interior angle = 124°
Answer:
124
Step-by-step explanation:
Right on Edge 2022
two more and that it 30 + 30 × 30 + 20 ÷ 20
Answers
Let's see
30+30×30+20/2030+30^2+131+900931Done!
Lisa paint 3/8 of the room and Madison paint 1/5
how much more of the room did Lisa paint
Answers
Answer:
[tex]\huge\boxed{\frac7{40}\ more\ of\ the\ room}[/tex]
Step-by-step explanation:
To solve this problem, you need to find the common denominator.
To do this, simply multiply the first fraction by 5/5, and the second by 8/8 to get:
[tex]\frac15=\frac{1}{5}*\frac{8}{8} = \frac{1*8}{5*8} = \frac{8}{40}[/tex]
[tex]\frac38=\frac38*\frac55=\frac{3*5}{8*5}=\frac{15}{40}[/tex]
Thus, Lisa painted 7/40 more of the room than Madison.
Hope it helps :)
please give me the answer (click on file)
Answers
Answer:
x = 122
Step-by-step explanation:
A leaking tap wastes 3,750 ml of water in 1 hour how much water will be wasted in a day??
Answers
Answer:
90,000
Step-by-step explanation:
3750ml/hr *24 hrs
Therefore, A leaking tap will waste 90000 ml in a day.
Hoped this helped
[tex]BrainiacUser1357[/tex]
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If f(9) = - 3, write a corresponding ordered-pair solution.
Answers
Answer:
(9,-3)
Step-by-step explanation:
u just have to plug it up
Write an equation in slope-intercept form for the line with slope 5 and y-intercept -2.
Answers
Slope intercept form is y=mx+b
all you have to do is substitute your given
m is your slope (5)
b is your y intercept (-2)
Need help on HS geometry
Answers
Answer:
RS = 46 , RT = 38
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle (mid segment) is half the length of the third side, then
RS = 2 × UW = 2 × 23 = 46
RT = 2 × VW = 2 × 19 = 38
What is 4/6 divided by 3/12 what is the quotient
Answers
Answer: 8/3, 2 2/3
Step-by-step explanation:
reciprocal of 3/12 is 12/3
soooooo
4/6 x 12/3
which is 48/18
u can divide that by 6
which is 8/3
or 2 2/3
One minute is (60,12,50,100 pick one ) times as long as ( one hour or one second)
Answers
Answer:One minute is 60 times as long as one hour i guess?
Can someone please explain this to me
Answers
Answer:
The answer is 4
Step-by-step explanation:
because add 4 then divided by 4
What is the range of the given function?
Answers
Answer:
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. .The range is the resulting y-values we get after substituting all the possible x-values.
Step-by-step explanation:
plz help me find this answer offering 10 points for a answer !!
Answers
Help! this is due in 2 hoursssss
Answers
Answer:The smallest angle is 2x+10 solve the eqation x=4
Step-by-step explanation:its the right answer i did this before and got it correct
Answer:
the equation you wrote is correct
x=30
the smallest angle is: x-10 or 20
3x=30
2x+10=70
Step-by-step explanation:
A potter can make 24 vases in 8 days. If the potter works 6 hours each day, how long does it take to make one vase?
Answers
Explaintion/
24/8 =3
6/3=2
GEOMETRY QUESTION NEED HELP ASAP 50 POINTS PLEASE PUT FULL ANSWER!!!! 2 part question find the answer to the one in the picture also find the measure of angle 7 also please
Answers
That makes angle E also = 95°
95+95 = 190 so 360-190 = 170
that makes angles 3 and 4 = 85°
angle 2 is 36° so that makes angle 6 = 36°
so u do 180-36-85 = 59° for angle 7
ANGLE 7 = 59°
Angle m
A certain stock sold for $24.89 per share on Thursday. On Friday it sold for $21.36. Find the decrease in the price of the stock from Thursday to Friday.
Answers
can someone help me figure this out
Answers
Answer:
b ≥ 8
Step-by-step explanation:
b + 4 + 2(-2b + 4) ≤ -12
b + 4 - 4b + 8 ≤ -12
-3b + 12 ≤ -12
-3b ≤ -24
b ≥ 8
$800 at 9% per year for 1 year
Answers
Answer:
The answer should be 72.
Step-by-step explanation:
You're finding the interest earned. I = Prt, I for simple interest, P for principal, r for rate, and t for time.
Substitute p for $800, r for 9%, and t for is 1 year.
You would multiply these three numbers together.
$800(0.09)(1) should give you 72.
A shopkeeper bought 24 bottles of fruit juice for $63 dollars.
She sold them for $2.95 each.
Calculate her percentage profit or loss.
Answers
Answer:
0.325
Step-by-step explanation:
$63 divide by 24 you'll get 2.625
then $2.95 minus 2.625 you'll get 0.325
2.95 - 2.62 is 0.33 so her profit is 0.33 cents and loss is 2.62
At the beginning of a trip, the tank of Diana’s car was filled with gasoline to half of its capacity. During the trip, Diana used 30 percent of the gasoline in the tank.
At the end of the trip, Diana added 8 gallons of gasoline to the tank.
Let the capacity of the tank of Diana’s car be x gallons. Write an expression representing the number of gallons of gasoline in the tank after Diana added gasoline to the tank at the end of the trip? Enter an expression in the simplified form.
Answers
Capacity of tank be x
At end of journey the tank was half filled.
Hence x/2 filledNow used percentage is 30%
[tex]\\ \sf\longmapsto \dfrac{30x}{200}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{20}x[/tex]
Now
added gasoline=8gallonExpression:-
[tex]\\ \sf\longmapsto \dfrac{3}{20}x+8[/tex]
Solve:
3.7x + 1.2 = 5.4x - 6.3
Answers
Which number is an integer? Negative three-fourths 0 2. 3 Pi.
Answers
The number that is an integer is 0.
An integer is a number that does not have fractions or decimals. Examples of integers are 50, - 1. A fraction is a number that is made up of numerators and denominators. An example is 3/4. A decimal is made up of tenths, hundredths and thousandths. An example is 2.3.
Negative three-fourths is not an integer because it is a fraction. 2.3 and pi is not an integer because it is a decimal.
A similar question was answered here: https://brainly.com/question/15984496
negative three eights times a number,z, equals 12.
Answers
Answer:
the answer is 32
Step-by-step explanation:
3/8=0.375
0.375 x 12 =32
Answer:
-0.5
Step-by-step explanation:
If we reverse the math, 12/ -3/8=-0.5, therefore -0.5 is the answer. Please mark brainliest if possible
Can someone help me with this? Last one is -1/4 btw
Answers
-8 Find the slope of the line y = -8/2x+1/5 Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
The slope is -4.
Because:
-8/2 is -4, which is the slope.
Which functions are invertible
Select each correct answer
Answers
Answer:
the top two
Step-by-step explanation:
For a function to be invertible, it must pass the "horizontal line test." That is, there can be no horizontal line that will intersect the graph in more than one place. The bottom two graphs fail this test, so do not represent invertible functions.
The two top graphs show invertible functions.
Which congruence criteria is met in the following scenario
HL
AAS
SAS
ASA
SSS
Answers
Answer: SAS
Because there is a mark showing that one pair of sides are congruent, the stars showing that one pair of angles are congruent, then the triangles are sharing a line (which means that they are congruent)
please answer , thank you in advance to whoever does !!!!