Answers
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
Method 1: Pythagorean Theorem
We can use the Pythagorean Theorem to solve for [tex]x[/tex]. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the legs' side lengths is equal to the length of the hypotenuse squared. Simply put, [tex]a^{2} +b^{2} =c^{2}[/tex], where [tex]a[/tex] and [tex]b[/tex] are the legs and [tex]c[/tex] is the hypotenuse. In this case, we know that [tex]a=x[/tex], [tex]b=9[/tex], and [tex]c=15[/tex], so we get:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]x^{2} +9^{2} =15^{2}[/tex] (Substitute [tex]a=x[/tex], [tex]b=9[/tex], and [tex]c=15[/tex] into [tex]a^{2} +b^{2} =c^{2}[/tex])
[tex]x^{2} +81 =225[/tex] (Simplify exponents)
[tex]x^{2} +81-81=225-81[/tex] (Subtract [tex]81[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]x^{2} =144[/tex] (Simplify)
[tex]\sqrt{x^{2}} =\sqrt{144}[/tex] (Take the square root of both sides)
[tex]x=12,x=-12[/tex] (Simplify, remember that each positive number has two square roots: a positive one and a negative one)
In the context of the situation, we know that [tex]x=-12[/tex] is an extraneous solution because a polygon cannot have negative side lengths. Therefore, the final answer is [tex]x=12[/tex].
Method 2: Pythagorean Triples
Method 1 works, but there's an easier way to find the value of [tex]x[/tex]. If we look at the given lengths of [tex]9[/tex] and [tex]15[/tex], we can observe that this triangle is a [tex]3-4-5[/tex] right triangle enlarged by a scale factor of [tex]3[/tex], because [tex]3*3=9[/tex] and [tex]5*3=15[/tex]. The only side length that's missing is the [tex]4[/tex]. Therefore, [tex]x=4*3=12[/tex]. Hope this helps!
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Step-by-step explanation:
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Step-by-step explanation:
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I hope it helps you ❤️❤️❤️❤️
A cylinder has a radius of 12.2 inches and a height of 6.1 inches.
What is the approximate volume of the cylinder?
Use 3.14 for pi.
Answers
Answer
2850.9 inch³
Step-by-step explanation:
V= πr²h
V (Volume) = 3.14 × 12.2 × 12.2 × 6.1 = 2850.9
hope it helps
QUICK PLEASE TIMED TEST I GIVE GRINLIEST (I suck at math)
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply.
7 x + 4 and 3 x + 5 + 4 x minus 1
When x = 2, both expressions have a value of 18.
The expressions are only equivalent for x = 4 and x = 6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if x = 8.
Answers
Answer:
grinliest?? oh... i cant smile really, sry
Step-by-step explanation:
A certain bakery sells two sizes of round cakes. The radius of the large cake is 3 times the radius of the small cake. If the top of the large cake has an area of 261 in?, what is the area of the top of the small cake?
Answers
R x R x π = 261
R² = 83.078
R = 9.11
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Which equation has the solution n = 11?
7n − 8 = 62
8n + 6 = 102
3n + 12 = 45
5n − 20 = 25
Answers
Answer:
3n+12=45
Step-by-step explanation:
Because if you take 2 and put it in the place of n 32+12 =45 and take 45 and divide it by 12 and you will get 11.
(someone help)
Andre is running in an 80-meter hurdle race. There are 8 equally-spaced hurdles on the race track. The first hurdle is 12 meters from the start line and the last hurdle is 15.5 meters from the finish line. How far are the hurdles from one another?
Answers
Answer:
600 and 3
Step-by-step explanation:
I think I missed something in class cause I have no clue how to do this. Please help!!
Answers
Answer:
h=60 °
g= 120°
k= 33°
m = 147°
Step-by-step explanation:
For K and G it's just the same as the other angle across from it. and H and M is subtracting from 180
Answer:
G = 120
H = 60
K = 33
M = 147
according to the property √a/√b=√a/b, which choice is equivalent to the quotient below? √72/2
Answers
According to the property [tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex] = [tex]\sqrt{\frac{a}{b} }[/tex], [tex]\sqrt{\frac{72}{2} }[/tex] = 6.
What is square root?The square root of a number is the value of power 1/2 of that number. In other words, it is the number whose product by itself gives the original number.
Given
[tex]\sqrt{\frac{72}{2} }[/tex]
= [tex]\sqrt{36}[/tex]
= 6
According to the property [tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex] = [tex]\sqrt{\frac{a}{b} }[/tex]
[tex]\sqrt{\frac{72}{2} }[/tex] = [tex]\frac{\sqrt{72} }{\sqrt{2} }[/tex]
= [tex]\frac{6\sqrt{2} }{\sqrt{2} }[/tex]
= 6
Thus, according to the property [tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex] = [tex]\sqrt{\frac{a}{b} }[/tex], [tex]\sqrt{\frac{72}{2} }[/tex] = 6.
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what is 1/2 divided by 1/6?
Answers
Answer:
3
Step-by-step explanation:
1/2 ÷ 1/6
flip to 1/2 x 6 = 3
Answer:
well on calculator wise it is 0.0833333333 but you can just put 0.083 and put a line on top of the three (the line tells u it has a lot of the same number so u don't have to write all those threes) :))))
Step-by-step explanation:
solving systems of equatins using substitution with both equations in y=mx+b
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Answers
what is 3/4 divided by 2/3 as a mixed number?
Answers
Answer:
1.125
Step-by-step explanation:
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Answers
Answer:
8 = 2×2×2
[tex]\sqrt[3]{8}[/tex]= ∛2x2x2
=∛(2)(2)(2)
=∛2³
=2
hence ∛8 = 2
A bag of 8 rolls for $1.89 or a bag of 18
rolls for $3.79
Answers
Answer:
8 rolls for $1.89
Step-by-step explanation:
when you divide to see how much each one costs the 8 rolls is better
Answer:
8 rolls for 1.89
Step-by-step explanation:
HELP PLSS!
The rectangle shown has a perimeter of 66 cm and the given areaIts length is 3 more than five times its width. Write and solve a system of equations to find the dimensions of the rectangle.
Answers
Answer:
The area of the rectangle is equal to the base times the height. That is, major side by minor side. In many places we will find how the height is called "h" and the base "b."
Step-by-step explanation:
The dimensions of rectangle are width of 5cm and Length of 28 cm.
What is Rectangle?A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees
The perimeter of rectangle is
Perimeter=2(Length+width)
Given that length is 3 more than five times its width.
L=3+5W
Perimeter=2(3+5w+w)
Perimeter of rectangle is given by 66cm
66=2(6w+3)
Apply distributive property on RHS side
66=12W+6
Subtract 6 from both sides
60=12W
Divide both sides by 12
W=5
L=3+5(5)=25+3=28
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Please help me please thank you
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mark me as brainliest if i’m right !
Which accurately describes a circle with a radius 12 centimeters and center Q?
A. the collection of all points located 144 centimeters from point Q
B. the collection of all points located 6 centimeters from point Q.
C. the collection of all points located 24 centimeters from point Q.
D. the collection of all points located 12 centimeters from point Q.
Answers
Answer:
the answer is d!
Step-by-step explanation:
because the radius is measuring the distance from any point on the circle to the very center of the circle
Write an equation that you could subtract from 4x+3y=-7 to eliminate a variable. Then solve the system.
Answers
x= 7/4 - 3/4
you just have to subtract on variable and then put it on the other side, eventually you will have to divide it all by 4, which you can't do, so it ends up as a fraction:)
Carmen has 35% off to buy a coupon to buy a new basketball shoes. The original price of the shoes were 85.00 how much money does Carmen save by use if the coupon
Answers
Answer:
Carmen saves $29.75
Step-by-step explanation:
I hope this helps!
65/100*85= $55.25
$85-$55.25= $29.75 is saved
if 40% is 972 how much is 100%?
Answers
Answer:
2430
Step-by-step explanation:
40%-> 972
100% -> 972÷40×100
= 2430
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Answers
Answer:
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Step-by-step explanation:
b + c ≤ a
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Answers
Answer:
x=-9/4
Step-by-step explanation:
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Answers
Step-by-step explanation:
blue box is going to be 9.897
orange box is going to be -13
9.897*10^-13 = is an equation
you multiply 9.987 x 10 to the power of -13 (10^-13)
your exponent is -13 so first do the exponents after you do that you should get your answer.
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answer:
y= -5x -2
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Answer To the question
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Answer:
x=48
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
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Step-by-step explanation:
10 mm = 1 cm
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Answers
Answer:
Step-by-step explanation:
They already said the domain of f(x) is x≥0.
The smallest value of f(x) is f(0) = 9.
Range of f(x) is y≥9.
The radicand of a square root must be non-negative, so the domain of f⁻¹(x) is x≥9.
The range is y≥0.
Tell whether the sequence is arithmetic. If it is, identify the common difference -7.-3.1.5....
Answers
9514 1404 393
Answer:
yes, 4
Step-by-step explanation:
We assume your sequence is supposed to be ...
-7, -3, 1, 5
First differences are ...
-3 -(-7) = 4
1 -(-3) = 4
5 -1 = 4
These differences are constant, so we can conclude the sequence is an arithmetic sequence, and the common difference is 4.