Answers
Given:
The figure of a right angle triangle.
[tex]a=b[/tex]
Hypotenuse = [tex]9\sqrt{2}[/tex] in.
To find:
The missing lengths of the sides.
Solution:
In the given right angle triangle both legs a and b are equal, and hypotenuse is [tex]9\sqrt{2}[/tex] in.
Using Pythagoras theorem, we get
[tex]Hyponteuse^2=Base^2+Perpendicular^2[/tex]
[tex](9\sqrt{2})^2=(a)^2+(b)^2[/tex]
[tex]81(2)=(a)^2+(a)^2[/tex] [tex][\because a=b][/tex]
[tex]81(2)=2(a)^2[/tex]
Divide both sides by 2.
[tex]81=(a)^2[/tex]
Taking square root on both sides.
[tex]\pm \sqrt{81}=a[/tex]
[tex]\pm 9=a[/tex]
Side cannot be negative. So,
[tex]9=a[/tex]
Thus, the missing side lengths are a=9 in and b=9 in.
Therefore, the correct option is C.
Related Questions
Ned wrote the following statement:
"You can only draw one unique isosceles triangle that contains an angle of 80º."
Which statement is true? (1 point)
Answers
Answer:
You didnt show the statements...
Step-by-step explanation:
Please answer this question
Answers
Answer:
THIS QUESTION IS VERY COMPLICATE SO I CAN'T ANSWER THIS QUESTION
1/2 x 1/2 x 1/2 =
what is the Answer?
Answers
Answer:
.3
Step-by-step explanation:
50:15
There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the classroom?
O 3 to 4
О 4 to 3
0 4 to 7
O 7 to 4
Answers
Answer:
12:16 is boys to girls
16 : 28 is girls to everyone so..
4 to 7, the third answer
Brainiest plz? :)
Can y’all help with this math question? Plz
Answers
can y'all pls help me I don't want to fail and I will mark.
Answers
Answer:
the slope is 2/3
Step-by-step explanation:
Help greatly appreciated if you do.
Answers
Answer:
13%
Step-by-step explanation:
There are 40 pets in total, 26 pets are adopted on weekdays.
26/40=13/20=65/100=65%
65/5=13
13%
If 2^2x = 2^3, what is the value of x?
Answers
Answer:
X = 3/2.
Step-by-step explanation:
Please refer to the attachment given above.
The value of x in the equation 2[tex]^{(2x)}[/tex] = 2³ is 1.5.
To find the value of x in the equation 2[tex]^{(2x)}[/tex] = 2³, we can use the property of exponents that states: If two exponential expressions have the same base and are equal, then their exponents must be equal.
In this case, we have 2[tex]^{(2x)}[/tex] = 2³. Since the bases are the same (both are 2), we can equate the exponents:
2x = 3
Now, to solve for x, divide both sides by 2:
x = 3/2
So, the value of x is 3/2 or 1.5.
To know more about equation
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#SPJ2
How does paragraph 2 help to develop the main ideas of the text?
A
It argues that a university education is less important than national service,
B
It introduces the idea of giving back to society through national service,
It outlines the similarities between academic learning and national service
D
It presents some financial reasons for students to consider national service,
Answers
A shipping container will be used to transport several 70-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23500 kilograms. Other shipments weighing 9700 kilograms have already been loaded into the container. What is the greatest number of 70-kilogram crates that can be loaded into the shipping container?
Answers
Subtract what has already been loaded from total amount allowed:
23500 - 9700 = 13,800
Divide the amount left by the weight of each crate:
13,800 / 70 = 197.14
They can load 197 crates.
Find the product of (x − 8)2 and explain how it demonstrates the closure property of multiplication.
A. x2 − 64; is a polynomial
B. x2 − 16x + 64; is a polynomial
C. x2 − 64; may or may not be a polynomial
D. x2 − 16x + 64; may or may not be a polynomial
Answers
Answer:
B
Step-by-step explanation:
(x-8)^2=(x-8)(x-8)=x^2-8x-8x+64=x^2-16x+64
Answer:
x2 − 16x + 64; is a polynomial
In the given function y = 2x2-8x, when you factor out a, what is left inside the
parentheses?
Answers
Answer:
[tex]y = {x}^{2} - 4x[/tex]
(02.02 MC) Triangle ABC is shown. A is at negative 2, 1. B is at negative 1, 4. C is at negative 4, 5. If triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees, where will point B' lie? (−1, 4) (1, −4) (4, −1) (−4, 1)
Answers
Answer:
(-1,4)
Step-by-step explanation:
Point B in the pre-image is at (-1,4).
If triangle ABC is reflected over the x‐axis, the y-coordinate changes to its negative value, thus we have the transformation:
Next, if the point (-1,-4) is reflected over the y‐axis, the x-coordinate changes to its negative, Thus, we have the transformation:
Finally, a rotation by 180 degrees will give the coordinates of B' as:
The point B' will lie in (-1, 4) [ the same place as B].
The coordinates of point B' are [tex](-1,4)[/tex]. So, the first option is correct.
Given:
The vertices of a triangle ABC are [tex]A(-2,1), B(-1,4)[/tex] and [tex]C(-4,5)[/tex].
Triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees.
To find:
The point B'.
Solution:
If a figure reflected over x-axis, then
[tex](x,y)\to (x,-y)[/tex]
[tex]B(-1,4)\to B_1(-1,-4)[/tex]
If a figure reflected over y-axis, then
[tex](x,y)\to (-x,y)[/tex]
[tex]B_1(-1,-4)\to B_2(-(-1),-4)[/tex]
[tex]B_1(-1,-4)\to B_2(1,-4)[/tex]
If a figure rotated 180 degrees about the origin, then
[tex](x,y)\to (-x,-y)[/tex]
[tex]B_2(1,-4)\to B'(-(1),-(-4))[/tex]
[tex]B_2(1,-4)\to B'(-1,4)[/tex]
So, the coordinates of point B' are [tex](-1,4)[/tex].
Therefore, the first option is correct.
Learn more:
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Solve for x: x/7 - 3 ≥ 8.
Answers
Answer:
x is more than or equal to 77
Step-by-step explanation:
Mr. Hayes has 11 straw bundles to use forr bedding in his horse stalls. What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles
Answers
Answer:
2 stalls
Step-by-step explanation:
Mr. Hayes has 11 straw bundles to use forr bedding in his horse stalls. What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles
1 stall = 4 bundles
4 bundles = 1 stall
11 bundles = x
Cross Multiply
4x = 11
x = 11/4
x = 2 3/4 stalls
The greatest number of stalls he can build is 2 stalls
a) Show that the equation x^3 + 6x - 5 = 0 has a solution between x = 0 and x = 1
Answers
Answer:
Since [tex]f(0) < f(x) < f(1)[/tex], there is a solution for [tex]f(x)[/tex] between [tex]x = 0[/tex] and [tex]x = 1[/tex].
Step-by-step explanation:
A solution of the polynomial is a root such that sign of dependent value changes, either from positive to negative or from negative to positive. Let [tex]f(x) = x^{3} + 6\cdot x - 5[/tex], [tex]x[/tex] is a solution of the equation if and only if [tex]f(x) = 0[/tex]. We proceed to evaluate the function at each bound:
x = 0
[tex]f(0) = 0^{3}+6\cdot (0) - 5[/tex]
[tex]f(0) = -5[/tex]
x = 1
[tex]f(1) = 1^{3}+6\cdot (1) - 5[/tex]
[tex]f(1) = 2[/tex]
Since [tex]f(0) < f(x) < f(1)[/tex], there is a solution for [tex]f(x)[/tex] between [tex]x = 0[/tex] and [tex]x = 1[/tex].
help my peleas
[tex]25 = {c}^{2} [/tex]
Answers
Answer:
5
Step-by-step explanation:
[tex]c^{2}[/tex] = 25
[tex]\sqrt{c} = \sqrt{25}[/tex] /take square root of both sides
c = 5 /square root of 25 is 5
how many solutions does x=-2 have
Answers
Answer:
One solution
Step-by-step explanation:
In a one- variable equation has infinitely many solutions when solving results in a true statement, such as 2=2
In a one- variable equation has one solution when solving results in one value for the variable, such as x = 5
In a one - variable equation has no solution when solving results in an untrue statement, such as 2=3
So, in this case the result x = -2 belongs to the 2nd sentence where it says one solution.
Hope this helps :)
Help me help me help me
Answers
Answer:
The ratio is 5:4 and the only one that fits is 25,20 so that's the answer.
Step-by-step explanation:
help me please i don’t understand
Answers
Answer:
please go through the steps
Help I need help Hurry please
Answers
Answer:
divide by 105 lol.
Step-by-step explanation:
1500/105.... just plug n in, n = 105
Answer:
A $14.29
Step-by-step explanation:
d = 1500/n
d = 1500/105
d = 14.2857..
d = $14.29
Solve for n just some homework
Answers
You multiply 56x0.5 then divide by 7 :)
Answer:
4
Step-by-step explanation:
Find four consecutive integers such that 8 times the sum of the first and the third is 40
greater than 10 times the fourth.
Answers
This figure is 1/4 of a circle.
What is the best approximation for the perimeter of the figure?
Use 3.14 to approximate pi.
A 4.7 cm
B 7.7 cm
C 10.7 cm
D 18.8 cm
Answers
Answer:
7.7
oof oof oof oof oof oof oof oof oof oof oof
Answer:
10.7
Step-by-step explanation:
Help I need to turn this in today :)
Answers
Answer:
132 cm squared
Step-by-step explanation:
6x5=30
6x5=30
6x8=48
1/2(8x3)=12
1/2(8x3)=12
Total added together is 132 cm squared
Explain whether the graph represents a function.
Answers
Answer:
The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.
solve 3p+2c is greater or equal to 120 and graph the solution
Answers
Answer:
equal to 120
3p+2c is equal to 120 and graph the solution.
3 times 20=60
2 times 30 =60
60+60=120
P=20
C=30
5. What is the value of x?
Answers
Answer:
5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
in a 30-60-90 triangle the ratio of sides, respectively, is 1 : [tex]\sqrt{3}[/tex] : 2
you can set up a proportion like this to solve for 'x':
[tex]\sqrt{3}[/tex] / 1 = 15 / x
cross-multiply:
[tex]\sqrt{3}[/tex]x = 15
x = 15/[tex]\sqrt{3}[/tex]
rationalize the denominator by multiply top and bottom by [tex]\sqrt{3}[/tex]
you get 15[tex]\sqrt{3}[/tex] ÷ 3 which is 5[tex]\sqrt{3}[/tex]
¿conjunto de fuerzas aplicado sobre un objeto de manera que la linea de accion de todas las fuerzas convergan en un mismo punto?, ¿ cual es el conjunto de esas fuerzas? . agradecería mucho si lo contestan porfis uwu
Answers
Answer:
Fuerzas Convergentes
Fuerza Resultante
if ABCD is a parallelogram then what is the measure of < A - <C
Answers
Answer:
The answer is 0.