Need help with this one NO LINKS!!!
Special Right Triangles (Radical Answers)
Answers
Answer:
x = 5*sqrt(2)
Step-by-step explanation:
Equation
Use the Pythagorean Theorem to get the value of x. If the triangle is isosceles, it means that both lets are equal to x.
x^2 + x^2 = 10^2
2x^2 = 100
x^2 = 50
x^2 = 5 * 5 * 2
sqrt(x^2) = sqrt(5*5*2)
x = 5*sqrt(2)
There is no denominator to rationalize. The answer is given as a irrational root. The only other way to present it is in an approximate decimal form.
Answer:
x = [tex]5\sqrt{2}[/tex] (or [tex]\frac{5\sqrt{2}}{1}[/tex] if it has to have a rational denominator)
Step-by-step explanation:
We know;
1.) This triangle is isosceles (two of the sides are congruent).
2.) Hypotenuse is the biggest side in a right triangle. Therefore, that un-labeled side can't be 10, it has to be x as well.
So;
A² + B² = C²
x² + x² = 10²
2x² = 100
x² = 100/2
x² = 50
x = [tex]\sqrt{50}[/tex]
Simplifying this would result in;
[tex]\sqrt{50}[/tex] = [tex]\sqrt{25} * \sqrt{2}[/tex]
[tex]\sqrt{50}[/tex] = [tex]5\sqrt{2}[/tex] (or [tex]\frac{5\sqrt{2}}{1}[/tex] if it has to have a rational denominator)
Hope this helps!
Related Questions
What is the value of x?
Answers
Answer:
Step-by-step explanation:
Corresponding angles are congruent
x² - 72 = 6x
x² - 6x - 72 = 0
Sum = -6
Product = -72
Factor = -12 , 6 {-12*6 = -72 & -12 +6 = -6}
x² + 6x - 12x -72 = 0
x(x + 6) - 12(x + 6) = 0
(x + 6)(x -12)=0 {Ignore x + 6 = 0 because angles won't be in negative}
x - 12 = 0
x = 12
Which cone has a volume of 24 x cm?
Answers
Answer:
cone a is the correct answer
the third choice is the cirrect answer.
the cone with a 4.5 cm height and a 8cm diameter
hope this helps :)
SOMEONE PLEASE HELP ASAP, THANK YOU SO MUCH
EXPLANATION = BRAINLIEST
Each gridline represents one mile. If Ryan drove from home to the soccer field and then from the soccer field to the library, traveling in a straight line to each destination, he would have traveled ___ miles by the time he reached the library.
Answers
Answer:
13units
Step-by-step explanation:
Using the distance formula;
D = √(x2-x1)²+(y2-y1)²
Distance from home to the soccer field is expressed as;
Home (0,0) and soccer field (-4,3)
D =√(3-0)²+(-4-0)²
D =√3²+4²
D =√9+16
D = √25
D = 5
Distance from soccer field to library is expressed as;
Library (4,3) and soccer field (-4,3)
D =√(-4-4)²+(3-3)²
D =√(-8)²+0²
D =√64
D = 8
Hence the total distance = 5 + 8 = 13units
the diameter of a circle is 18 centimeters. What is the area? Give the exact answer in simplest form
Answers
Answer:
254.47
Step-by-step explanation:
Formula is pi r^2
the radius is 9 which is half of the diameter
pi 9^2
Please help me!
I need help!
Brainiest for best answer.
Answers
Answer:
m+5=7
Step-by-step explanation:
If ABC and ABD are equilateral, which line segment if 60° clockwise rotation of AB about the point A?
Answers
Answer:
Line AC
Step-by-step explanation:
Given
See attachment for triangles
Required
60 degrees clockwise rotation about A
Since [tex]\triangle ABC[/tex] and [tex]\triangle ABD[/tex] are equilateral, then all angles in both triangles are [tex]60^o[/tex]
So, rotating in clockwise direction of A means that a line segment in the right of A will be considered.
The closest is line AC;
Hence, AC is [tex]60^o[/tex] clockwise of point A
PLEEEEEEEEEASE HELLLPPP TEACHER IS TERRIBLE AND WONT HELP MEEEEEE
Answers
Answer:
A(-1,1) B(-3,2) C(-3,4) D(-1,5)
Step-by-step explanation:
when the shape is rotated 270° it will be in quadrant 2(top left). the x coordinates will be negative. the y coordinates will still be positive. basically if you move your paper so the shape in in the top left corner, you will find your coordinates.
help me with this math question
Answers
131° are the two angles added, subtract by 180°, will give you 49
49 divided by 7 equals 7
Im taking my algebra 1 final exam today... I'm nervous. Any advice? (I'm an 8th grader taking algebra and its challenging to me)
Answers
Take a deep breath and try to study right before the exam. Use your time on the exam wisely because it time goes away fast. Study the basics and formulas. Have a good exam your going to do good!!!
Help! Geometry Triangle Congruence
Answers
Answer:
Step-by-step explanation:
Thank your for revising and improving the image.
Assuming DF is a straight line,
Given E is the mid-point of DF
mCE = mGF
CE || GF
Then
mDE = mEF (E midpoint of DF)
Angle DEC = Angle EFG (corresponding angle, DF transversal of parallel lines CE and GF)
mCE = mGF (given)
Then triangles DCE and EGF are congruent by reason SAS (side-angle-side)
Samantha has 8 quarts of milk. The ratio of quarts to gallons is 4:1. How many gallons of milk does Samantha have?
Answers
4/1=8/2
Solve this problem on paper using all four steps.
A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they
doubled the sales of the second week for the third week to sell a total of 431 boxes of cookies, how many did they sell
each week?
Answers
Answer: 104 boxes were sold in 1 week.
Step-by-step explanation:
I think I'm right sorry if I'm not, good luck!
Answer: First Week: 104 Second Week:109 Third Week: 218
sorry for being a year late
Quick!! I need an answer fast! worth 40 POINTS!
Choose all the equations which are correctly solved.
A) x2 − 5x + 5 = 0 {2, 3}
B)x2 − 7x − 8 = 0 {−1, 8}
C) x2 + 12x + 20 = 0 {−2, −10}
D) x2 − 3x − 10 = 0 {2, 10}
E) x2 + x + 20 = 0 {4, 5}
Answers
Answer:
B) & C)
Step-by-step explanation:
___________________
I need help for today :( plz
Answers
Answer:
Step-by-step explanation:
Part C: (Explanation with steps)
Let the length of the swimming pool = l feet
And width of the pool = w feet
Perimeter of the pool = 2(l + w) feet
Since, perimeter of the pool = 8 feet
2(l + w) = 80
l + w = 40
l = (80 - w) -------(1)
Area of the pool = Length × width
A(w) = l × w
By substituting the value of l from equation (1)
A(w) = (80 - w) × w
A(w) = 80w - w²
To find the maximum area of the pool we will find the derivative of the function with respect to 'w' and equate it to zero.
A'(w) = 80 - 2w
(80 - 2w) = 0
w = [tex]\frac{80}{2}[/tex]
w = 40 feet
Therefore, for width (w) = 40 feet area of the pool will be maximum.
From equation (1),
l = 80 - 40
l = 40 feet
Therefore, maximum area of the pool = l × w
= 40 × 40
= 1600 square feet
Part A:
Function representing area of the pool,
A(w) = -w² + 80w
Part B:
Maximum area of the surface of the pool = 1600 square feet
Please answer i will put you the brainliast
Answers
Evaluate the expression for p = 8.
4p =
Answers
Answer:
Answer = 32
Step-by-step explanation:
p= 8
4p
(4)(8)
=32
Answer:
I got, 8 x 4 = 32
find the value of x.
Answers
Answer:
x = 7
Step-by-step explanation:
9x + 4 + 113 = 180
9x + 117 = 180
9x + 117 - 117 = 180 - 117
9x = 63
9x ÷ 9 = 63 ÷ 9
x = 7
Answer:
9x + 4 + 180 + 113=360
9x + 297=360
9x=360-297
9x=63
9x÷9=63÷9
x=7
Write the word sentence as an inequality.
Then solve the inequality.
Five more than a number x is less than 17.
An inequality that represents this word sentence is x+5<17
The solution is ?
Answers
Answer:
x≤11
Step-by-step explanation:
x+5<17, I can subtract 5 on both sides so
x+5<17
-5 -5
x<12
that's wrong though because my x needs to make my answer less than x to make the statement true since we're looking for a value that is less than 17 not less than or equal to 17. So in conclusion, if x≤11 ( if x is less than or equal to 11), my statement will be true because 11+5<17=16<17, which is true. Even 10 or less is fine because it will still be smaller than 17 and that will keep my statement balanced.
The measures of two interior angles in a triangle are 108 degrees and 24 degrees. Find the measure of the third interior angle and the measures of the exterior angles.
Please give only real answers. I will give 50 points for who answered it right.
No docs/No files only type in the answer.
Answers
Answer:
A= third interior angle
108+24+A=180
A=180-24-108
A=48
Step-by-step explanation:
What is 6574893 + 7?????
Answers
Answer:
6574900
Step-by-step explanation:
Answer:
6,574,900
Step-by-step explanation:
have a good day
Which of the following statements justifies why the triangle shown below is not a right triangle?
Answers
Answer:
C.
Step-by-step explanation:
15^2 not = 6^2 + 11^2.
pls help in the middle of my final lol
Answers
Answer:
x+133 =131
x. =131-133
x. =(-2)
Ayuda Porfavor !!!!!!!!
Answers
Answer:
44
Step-by-step explanation:
10 x 3 = 30
8 + 6 =14
30 + 14 = 44
Answer:
110ft²
Step-by-step explanation:
Area of figure=(10×8)+(1/2×6×8)
=80+24
=112 ft²
=110 ft² (to nearest tenth)
Escreva no caderno a única potencia que tem números naturais não nulos iguais na base e no expoente e tem um número natural de 2 algarismos como resultado
Answers
Answer:
O número é 3
Step-by-step explanation:
Este número é 3
Número de base = 3
Potência = 3
Então, 3 ^ 3 = 27
Os valores de base e potência são iguais e o número resultante tem dois dígitos.
If AQSR: AYXZ describes two triangles, which other statement is also true?
O AQRS = AXYZ
Ο :
O AQRS = AYZX
O AQRS = AZXY
O AQRS AXZY
Answers
Answer:
D
Step-by-step explanation:
The statement that is also true is: [tex]\triangle QRS \cong \triangle YZX[/tex]
The congruence statement is given as:
[tex]\triangle QSR \cong \triangle YXZ[/tex]
The above statement means that, we have the following corresponding points
Point Q and point YPoint S and point XPoint R and point ZThe above highlights mean that:
Triangle QSR corresponds to triangle YXZ
It also means that:
Triangle QRS corresponds to triangle YZX
Hence, the correct congruency statement is: [tex]\triangle QRS \cong \triangle YZX[/tex]
Read more about congruent triangles at:
https://brainly.com/question/1675117
If 2(x-y)=3y, what is the ratio x/y
Answers
Answer:
1 : 2.5
Step-by-step explanation:
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
2(x-y)=3y
divide both sides of the equation by 2
x - y = 3y/2
x - y = 1.5y
combine like terms together
x = 1.5y + y
x = 2.5y
ratio of x : y
1 : 2.5
In circle P, PQ = 3 in. What is the circumference of the circle?
Answers
Answer:
6π
Step-by-step explanation:
Formula: C=2πr
C=2π3
C=6π
7(-6 1/8) or 7 x -6 1/8=?? brainilist
Answers
Answer:
Step-by-step explanation:
[tex]7 \times -6\frac{1}{8} = 7 \times \frac{-49}{8} = -\frac{343}{8}[/tex]
Answer:
-343/8 or -42 7/8
Step-by-step explanation:
7(-49/8) = -343/8 or -42 7/8
Which expression is equivalent to
Answers
Answer:
16 x¹⁰ + 88 x⁵ + 121
step-by-step explanation:-
( 4 x⁵ + 11)²
use ( a + b)² = a² + 2ab + b² to expand the expression( 4x ⁵)² +2 ( 4x⁵) ( 11 ) + ( 11 )²
calculate we get
16 x¹⁰ + 88 x⁵ + 121
Now you try it..
Solving the equation algebraically (show mathematical thinking)
24 = c + -10
CHECK (required)
how do i do this
Answers
Answer:
see below
Step-by-step explanation:
24 = c + -10
Add 10 to each side
24+10 = c-10+10
34 = c
Check
24 = 34 + -10
24 = 24
This is a true statement so it is a solution