Hey there!
The length of the hypotenuse is about 11 centimeters.
To solve this, we use the formula [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse leg and [tex]a[/tex] and [tex]b[/tex] are the other sides. So we can plug the numbers in to the formula:
[tex]5^2 + 10^2 = c^2[/tex]
Now we get the squares of 5 and 10:
[tex]25 + 100 = c^2[/tex]
Add 25 and 100:
[tex]125 = c^2[/tex]
Take the square root from both sides:
[tex]11.18033... = c[/tex]
The length of the hypotenuse is about 11 centimeters.
Hope it helps and have an amazing day!
The length of Hypotenuse = 11.18 cm
What is Pythagoras Theorem?In mathematics, the Pythagoras theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
Given,
In right angle ΔABC
AB = 5 cm
BC = 10 cm
AC = ?
By the Pythagoras theorem,
AC² = AB² + BC²
AC² = 5² + 10²
AC² = 25 + 125
AC = √125 = 11.18
Hence, 11.18 cm is the length of Hypotenuse AC .
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
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15-[14/(15-8)+13-14]•
10
Answer:
5
Step-by-step explanation:
15-(2+13-14)×10 (beacuse 14÷7=2)
15-(15-14)×10
15-1×10
15-10
5 ans
What is the diameter of X?
12 cm
4 cm
8 cm
2 cm
Answer:
diameter =2xradius
diameter=2x4
diameter =8cm
Answer:8cm
Step-by-step explanation:
The equation of the line?
Answer:
○ [tex]\displaystyle y = 2x + 7[/tex]
Step-by-step explanation:
Use the Slope-Intercept Formula instead of the Point-Slope Formula because it is MUCH, MUCH faster, plus parallel equations have SIMILAR RATE OF CHANGES [SLOPES ], so [tex]\displaystyle 2[/tex] remains as is:
[tex]\displaystyle y =mx + b \\ \\ 3 = 2[-2] + b → 3 = -4 + b; 7 = b \\ \\ \boxed{y = 2x + 7}[/tex]
I am joyous to assist you at any time.
I'm not sure which region contains the solution. Where both the half planes over lap
Answer:
Um i have no idea sorry i couldnt help
Step-by-step explanation:
A $75 fund is available for a holiday party. If 75% of the available money is spent for food and beverages, how much is left for other expenses?
A. $18.75
B. $28.75
C. $46.25
D. $56.25
How to find the area of triangle ABC
Answer:
Step-by-step explanation:
Area of a Triangle = A = ½ (b × h) square units
where b and h are the base and height of the triangle, respectively.
Answer: 24 ft is the area
Step-by-step explanation: area of triangle = (width x height)/ 2; the width is 8, height is 6, 8 x 6 = 48. Divide by 2 = 24.
Roger biked 30 miles in 2 hours. Write this rate as a unit rate.
Answer:
15 miles an hr or 15miles/1 hour
Can any of you plz answer? (math)
Which equation is true?
-56
7
- ( 24 ) = -3
Done -
Answer:
First Equation is Right which is -56/8 = 7
Step-by-step explanation:
LHS = -56/8
=> -7
RHS = -7
So LHS = RHS
Answer:
the first one. -56/8 = -7
If f(x) = 2x + 1, and
g(x) = x – 3, then
f(g(x)) = [ ? ]x + [ ]
Answer:
f(g(x))=2x-5
Step-by-step explanation:
f(g(x))=2(x-3)+1
Yeah so How are the numbers related?
Answer:
yay free points numbers are all numbers
Step-by-step explanation:
If the following figure is a square, solve for X
Answer:
Step-by-step explanation:
It is a square so every angle is 90°. As diagonal bisects, the angles of square means that 90/2=45 So,
6x-21=45
6x=66
x=11°
Note: Diagonal only bisects the angle in the square, not in every figure.
Find all of the real and imaginary solutions of x^3+8=0
Answer:
[tex]x=-2, \:1+\sqrt{3}i,\: 1-\sqrt{3} i[/tex]
Step-by-step explanation:
[tex]x^3+8=0,\\x^3=-8,\\\mathrm{For\:}x\in \mathrm{R}, x=-2[/tex]
Real solutions ([tex]x \in \mathrm{R}[/tex]): [tex]x=-2[/tex]
However, recall that [tex](\frac{-1\pm\sqrt{3}i}{2})^3=1[/tex].
Therefore:
[tex]\frac{-1\pm\sqrt{3}i}{2}\cdot -2=-2[/tex].
Thus, for [tex]x^3=-8,\: x\notin \mathrm{R}[/tex]:
[tex]x=1\pm\sqrt{3}i[/tex].
Therefore, the real and nonreal solutions of [tex]x^3+8=0[/tex] are [tex]\fbox{$-2, \:1+\sqrt{3}i,\: 1-\sqrt{3}i$}[/tex].
Answer:
-2, 1 +/- i*sqrt(3)
(3 solutions)
Step-by-step explanation:
Because the left side is in the form a^3+b^3, we can factor it as (a+b)(a^2-ab+b^2) (good formula to remember)
So we have
(x+2)(x^2-2x+4)
We can see one value already
x+2 = 0
x = -2
now we solve for
x^2-2x+4 = 0
We can use the quadratic formula, and see that the determinant is negative (2^2-4*1*4 < 0)
Therefore we have two imaginary solutions
(-(-2) +/- sqrt(2^2-4*1*4))/)2*1) = (2 +/- sqrt(-12))/2 = (2 +/- 2sqrt(-3))/2 = 1+/- sqrt(-3) = 1 +/- i*sqrt(3)
Solve the triangle given that a=19 b=16, c=11.
Answer:
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Step-by-step explanation:
From statement we know all sides of the triangle ([tex]a[/tex], [tex]b[/tex], [tex]c[/tex]), but all angles are unknown ([tex]A[/tex], [tex]B[/tex], [tex]C[/tex]). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.
If we know that [tex]a = 19[/tex], [tex]b = 16[/tex] and [tex]c = 11[/tex], then the missing angles are, respectively:
Angle A
[tex]a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A[/tex] (1)
[tex]A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)[/tex]
[tex]A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right][/tex]
[tex]A \approx 87.395^{\circ}[/tex]
Angle B
[tex]b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B[/tex] (2)
[tex]B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)[/tex]
[tex]B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right][/tex]
[tex]B\approx 57.271^{\circ}[/tex]
Angle C
[tex]C = 180^{\circ}-A-B[/tex]
[tex]C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}[/tex]
[tex]C = 35.334^{\circ}[/tex]
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Find the perimeter of the following square.
A. 1 inch
B. 2 inches
C. 3 inches
D. 4 inches
Answer:
D
Step-by-step explanation:
the perimeter of a shape is the sum of it's sides
in a square all sides have the same length
here all sides are 1 inch
so 1+1+1+1 = 4 inches which is D
6 pounds of bananas are 5.94 what would be the cost for 10 pounds?
Answer:
Step-by-step explanation:
if 6lbs costs 5.94
5.94/6=0.99
10lbs
0.99*10=9.90 dollars
4 2/3 divided by 1/2 in fraction form
Answer:
9 1/3
Step-by-step explanation:
4 2/3 = 14/3
14/3/1/2
14/3 x 2/1
28/3= 9 1/3
how many 1/5's are there in 9
1/5 9 = _____
Answer:
45
Step-by-step explanation:
1
1/5 X 5 times 9
Answer:
45 times is the correct answer
if the temperature is 64f, how many bottles of water should the store expect to sell?
Answer:
alot
Step-by-step explanation:
Answer:
112
Step-by-step explanation:
Edg 2021
-5•3 = 3 • -5
Name the property that justifies the statement
Answer:
commutative property of multiplication
Step-by-step explanation:
Monna and co-workers used radioactive isotopes to date sediments from lakes and estuaries. To verify this method they analyzed a 208Po standard known to have an activity of 77.5 decays/min, obtaining the following results
77.09, 75.37, 72.42, 76.84, 77.84, 76.69, 78.03, 74.96, 77.54, 76.09, 81.12, 75.75
Determine whether there is a significant difference between the mean and the expected value at αâ=â0.05.
Answer:
No significant difference between mean and Expected value
Step-by-step explanation:
Hypothesis
H0 : u = 77.5
H1: u is not equal to 77.5
Alpha = 0.05
Mean = Σxi/n
= 77.09+75.37+72.42+76.84+77.84, +76.69+78.03+74.96+77.54+76.09+81.12+75.75/12
= 919.74/12
= 76.645
We get the variance s² = xi² -n(barx)²/n-1
= 77.09²+75.37²...75.75²-12(76.645)²/11
When we solve this out
We get 4.3486818182
T test = barx - u/(s/√n)
= (76.645-77.5)/√4.3486818182/12
= -1.420293
T critical = Tn-1, alpha/2
= 2.200985
The test statistic is less than 2.201 so we accept the null hypothesis at 0.05 level of significance. And then conclude that there is No significant difference between mean and Expected value.
Which of the following are ordered pairs for the equation y = 3 /4 x + 6 ?
a. ( 6 , 0 ) ( 10 , 3 ) ( 14 , 6 )
b. ( 6 , 0 ) ( 9 , 4 ) ( 12 , 8 )
c. ( 0 , 6 ) ( 4 , 9 ) ( 8 , 12 )
d. ( 0 , 6 ) ( 3 , 10 ) ( 6 , 14 )
x2 – 12x + 37 = 0 in simplest a + bi form
Answer:
x=6+1
Step-by-step explanation:
Simplify the expression:
-5(2x - 5)
Answer:
-10x+25
Step-by-step explanation:
−5(2x−5)
=(−5)(2x+−5)
=(−5)(2x)+(−5)(−5)
=−10x+25
Pls help extra points and mark brainlist
If a plant grows 1 inch a day, starting at 2 inches, how tall will it be on the 7th day?
Reaner Recycling collected 7/4 ton of aluminum last Saturday. If 7/8 ton of aluminum can be shredded each day, how many days will it take to process what was collected on Saturday?
help me please it is hard
Answer:
2 days
Step-by-step explanation:
You would have to change 7/4 to have the same common denominator as 7/8, which is 8. 7/4 is equal to 14/8, or 1 6/8. Then you would subtract 1 6/8 by 7/8. What would be left would be 7/8. And of course, 7/8 minus 7/8 would be 0.
Hope this help you
A number increased by 9 is -4. What is
the number? Write an equation and solve.
Vhich real-world scenario can be described using the algebraic expression c/4?
Answer:
Baking c cookies and dividing them evenly among 4 friends.
Brainiest???
Hope this helps
please help asap will give brainliest !!!
Step-by-step explanation:
The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
So the smallest angle is <P.
Hope it may help :)