Answers
==========================================================
Explanation:
If you apply the distance formula, you should find that triangle DEF has the following side lengths
DE = 5EF = 5FD = sqrt(50)Those distances are exact. The sqrt(50) approximates to 7.071
Since 7.071 is the longest side, we'll make c = sqrt(50)
Then we have a = 5 and b = 5
Note that a^2+b^2 = 5^2+5^2 = 50 while c^2 = (sqrt(50))^2 = 50
Both a^2+b^2 and c^2 are equal to 50.
That means a^2+b^2 = c^2 is a true equation for the a,b,c values mentioned.
By the converse of the pythagorean theorem, we have shown that triangle DEF is a right triangle.
---------------
Side notes:
Triangle DEF is also isosceles because a = b = 5.If a^2+b^2 > c^2, then the triangle is acuteIf a^2+b^2 < c^2, then the triangle is obtuseIf a = b = c, then we have an equiangular triangle
Answer:
right
Step-by-step explanation:
we should find the distance of
DE
EF
FD
for DE
D(2,3) = (x1,y1)
E(5,7) = (x2,y2)
disatnce = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(5-2)^2 + (7-3)^2}[/tex]
=[tex]\sqrt{3^2 + 4^2}[/tex]
=[tex]\sqrt{16+9}[/tex]
=[tex]\sqrt{25}[/tex]
=5 units
for EF
E(5,7) = (x1 , y1)
F(9,4) = (x2 , y2)
distance =[tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(9-5)^2 + (4-7)^2}[/tex]
=[tex]\sqrt{(4)^2 + (-3)^2}[/tex]
=[tex]\sqrt{16 + 9}[/tex]
=[tex]\sqrt{25}[/tex]
=5 units
for DF
D(2,3) = (x1 , y1)
F(9,4) = (x2 , y2)
diatance =[tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(9-2)^2 + (4-3)^2}[/tex]
=[tex]\sqrt{7^2 + 1^2}[/tex]
=[tex]\sqrt{49 + 1}[/tex]
=[tex]\sqrt{50}[/tex]
=[tex]5\sqrt{2}[/tex]
It is a right angle triangle .
to prove right angle triangle
sum of square of two smaller sides = sum of square of longest side
5^2 + 5^2 =[tex](5\sqrt{2})^2[/tex]
25 + 25 = 52 *2
50 + 50
hence proved.
Related Questions
f(x) = |7x + 1|– 8
g(x) = -2
Find (f - g)(2).
O A. (f – g)(x) = |7x] – 5
B. (f - g)(x) = 172 – 7 + 2
O c. (f – g)(x) = 17x +11 – 6
O D. (f - g)(x) = 17x – 5||
Answers
Answer:
f-g)(x)= | 7x + 1 | -6 Is correct
Step-by-step explanation:
Functions f(x) and g(x) are illustrations of composite functions.
The value of (f - g)(x) is |7x + 1| - 6
The functions are given as:
[tex]\mathbf{f(x) = |7x +1|- 8}[/tex]
[tex]\mathbf{g(x) = -2}[/tex]
The function (f - g)(x) is calculated using:
[tex]\mathbf{(f - g)(x) = f(x) - g(x)}[/tex]
So, we have:
[tex]\mathbf{(f - g)(x) = |7x + 1| - 8 - (-2)}[/tex]
Remove bracket
[tex]\mathbf{(f - g)(x) = |7x + 1| - 8 +2}[/tex]
Simplify
[tex]\mathbf{(f - g)(x) = |7x + 1| - 6}[/tex]
Hence, the value of (f - g)(x) is |7x + 1| - 6
Read more about composite functions at:
https://brainly.com/question/20379727
i need help with 3x + 1 >_ 22=
Answers
Answer:
x>7
Step-by-step explanation:
eu quero resposta de Química de verdadeiro ou falso
Answers
Answer:
create a true or false chemistry question
Step-by-step explanation:
this is the translation
Which of the following statements are true? Check all that apply.
Answers
PLS HELP PLS !!!!!! k
Answers
Answer:
The top right is 5,1
top left -4,3
bottom left the one near the -4 is -4,1
and the one below that is -2,5
And last the bottom right is 4,1
Step-by-step explanation:
Your welcome :)
What is the perimeter of the right triangle?
Answers
Answer:
Right triangle is 3 by 4 by
square root of (3^2 + 4^2) = 5
perimeter = 3+4+5 = 12
Step-by-step explanation:
Mark has 10 pens. Kate has 5 times as many pens as Mark.
Which equation below answers how many pens Kate has? (y = number of Kate's pens
10 = 5 × y
10 = 5 + y
y = 5 × 10
y = 10 ÷ 5
Answers
Answer:
The third one, y = 5 x 10
Step-by-step explanation:
y = number of Kate's pens, 5 = how many times more pens Kate has than Mark, and 10 = how many pens Mark has.
Which expression is equivalent to (25x-4)^16? a.(5x-2)^8 b.(25x-4)^8 c.(5x-2)^4 d.(25x-4)^4
Answers
Answer: 23692929
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex](25x-4)^8[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer....}}\\\\\rightarrow\sqrt{(25x-4)^{16}}\\\\\rightarrow (25x-4)^{\frac{16}{2}}\\\\\text{Recall that: }a^{\frac{b}{c}}=\sqrt[c]{a^b}\\\\\rightarrow\boxed{(25x-4)^8}\\\\\text{Side Note: }\frac{16}{2}=8[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What is the volume of this cylinder? 6m, 7m
Answers
Answer:
[tex]198\:\mathrm{m^3}[/tex]
Step-by-step explanation:
The volume of a cylinder is given by [tex]V=r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cylinder and [tex]h[/tex] is the height.
What we're given:
[tex]r[/tex] of 3[tex]h[/tex] of 7Substituting given values, we get:
[tex]V=3^2\pi\cdot 7,\\V=9\cdot 3.14\cdot 7,\\V\approx 197.82\:\mathrm{m^3}=\boxed{198\:\mathrm{m^3}}[/tex], rounded the nearest cubic meter as requested in question.
Answer:
Volume of cylinder is 197.82 m ³.
Step-by-step explanation:
Here,
We have given thatDiameter of cylinder = 6 m
So, Radius of cylinder, r = 6 / 2 = 3m
Height of cylinder , h = 7 m
Value of π = 3.14
To find :-Volume of cylinder
Solution :-We know that,
Volume of cylinder = π × r ² × h
Substitute the values
Volume of cylinder = 3.14 × ( 3m ) ² × 7 m
volume of cylinder = 3.14 × 9m² × 7 m
Multiply , we get
Volume of cylinder = 197.82 m ³
Therefore, The volume of cylinder id 197.82 m ³.
Find the co-ordinates of the points where the line represented by the linear equationy = 2x -4 intersects x-axis and y-axis.
Answers
Step-by-step explanation:
x-intercept => point (2, 0)
y-intercept => point (0, -4)
Which of the following is the function f(x) if f^-1(x) = 5x - 19?
A. f(x) = x - 19 over 5
B. f(x) = x + 19 over 5
C. f(x) = 5x + 19
D. f(x) = x over 5 + 19
Answers
Answer:
number of A is correct answer
Find the area of the shape below. GUS PLEASE HEL
Answers
Answer:
122 squared cm
Step-by-step explanation:
[tex]6*12=72[/tex]
[tex]10*5=50[/tex]
[tex]72+50=122[/tex]
Hope this helps
Answer:
122 squared cm
Step-by-step explanation:
First we split the figure into 2
12 x 6
And,
10 x 5
12 x 6 = 72
and
10 x 5 = 50
Now we add 72 + 50 = 122
Evaluate the expression when g=8 and h=7.
4g-h
Answers
Answer: 25
Step-by-step explanation: you replace the letters with the numbers, so it would be:
4(8) - (7)
32-7
=25
The perimeter of the scalene triangle is 54.6 cm.
*pretend this is the triangle
3a, a b
Which equation can be used to find the value of b if side a measures 8.7 cm?
A. 8.7 + b = 64.6
B. 17.4 + b = 54.6
C. 21.6 + b = 54.6
D, 34.8 + b =54.6
Answers
Answer:
D, 34.8 + b =54.6
[tex]perimeter = s + s + s \\ 54.6 = 3a + a + b \\ 54.6 = 4a + b \\ (4 \times 8.7) + b = 54.6 \\ 34.8 + b = 54.6[/tex]
What if I don’t have a opposite in my trigonometry is it Sah Coh or toa
Answers
Answer:
Without an opposite, the only operation that can be used is C a/h or Cos Adjacent/ Hypotenuse
Answer:
sah
Step-by-step explanation:
The diagram below shows a cement patio and a lawn. Both are rectangular in shape.
The length of the patio is 36 feet and its width is 13 feet. The length of the lawn is 28
feet and its width is 9 feet. What is the area of the cement patio around the outside of
the lawn?
36 ft
lawn
9 ft
13 ft
patio
28 ft
Your answer
Answers
Answer:
216 square feet
Step-by-step explanation:
Cement patio outside of lawn
(36*13)-(28*9)
468-252
216
Answer:
216
Step-by-step explanation:
The diameter of a circle is 6 inches. What is the circle's circumference? Use 3.14 for .
Answers
Answer: 18.84
Step-by-step explanation:
Formula for circumference of a circle is 2[tex]\pi[/tex]r. Radius is half the diameter so 6/2=3. 2(3.14)(3)= 18.84
Select the correct answer.
Consider this equation.
cos(9) =
V11
5
If & is an angle in quadrant I, what is the value of sin(0)
OA.
V14
5
B.
154
11
OC.
14
5
0D.
154
11
Answers
Answer:
c
Step-by-step explanation:
because x=9
Aan angle in quadrant I, the value of sin[tex]\theta[/tex] is [tex]\rm Sin \theta=\dfrac{\sqrt{14} }{5}[/tex].
What is the sin theta?Sin theta is defined as the ratio of perpendicular and hypotenuse.
The given equation is;
[tex]\rm Cos\theta=\dfrac{\sqrt{11} }{5}[/tex]
The cos[tex]\theta[/tex] is given by;
[tex]\rm Cos\theta=\dfrac{Base}{hypotenuse}[/tex]
By applying Pythagoras theorem the value of base is;
[tex]\rm (5)^2=Perpendicular^2+ (\sqrt{11} )^2\\\\ Perpendicular^2= 25-11\\\\ Perpendicular^2=14\\\\ Perpendicular =\sqrt{14}[/tex]
The value of sin[tex]\theta[/tex] is;
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypoteunse}\\\\Sin \theta=\dfrac{\sqrt{14} }{5}[/tex]
Hence, the value of sin[tex]\theta[/tex] is [tex]\rm Sin \theta=\dfrac{\sqrt{14} }{5}[/tex].
Learn more about trigonometry here;
https://brainly.com/question/26719838
#SPJ2
3
0
5
3
7
4
11
6
O A. {-3,0,3,4,5,6,7, 11}
O B. (-3,4,5,7}
O C. {3, 5, 7, 11)
O D. {-3, 0,4,6}
Answers
Answer:
A. {-3,0,3,4,5,6,7, 11}
Step-by-step explanation:
I'm prettybsure that A is the range because the range of numbers goes from -3 to 11
Find all real square roots of 25.
Answers
sorry if the answer is wrong
The formula for the volume of a cone is .
Solve  for b, the base of the cone.
Answers
V= 1/3bh
multiply both sides by 3 to eliminate the fraction
3V= bh
b = 3V under h > D
Hey, I WANT A BESTIE PLEASE (imagine I put the lightskin face emoji)
Answers
Answer:
Heyy
Step-by-step explanation:
Given
m∠LOM = 51° and m∠LON = 133°,
find the measure of ∠MON.
HELPPP PLEASEE
Answers
Answer:
m<MON = 82degrees
Step-by-step explanation:
According to the given question;
m<LON = m<LOM + m<MON
m<MON = m<LON - m<LOM
m<MON = 133 - 51
m<MON = 82degrees
Một ủy ban an toàn kiểm tra ngẫu nhiên 900 công nhân xây dựng trong thời gian làm việc, thấy có 48 công nhân không mang mũ bảo hộ. Hãy ước lượng tỷ lệ công nhân không mang mai bảo hộ trong thời gian làm việc với độ tin cậy 98%
Answers
Answer:
The percentage of workers not wearing the helmets is 5.3 %.
Step-by-step explanation:
A safety committee randomly examined 900 construction workers during their work, and found that 48 workers were not wearing helmets. Estimate the percentage of workers who do not wear protective masks during their working time with 98% confidence
total workers = 900
Not wearing helmet = 48
Percentage which are not wearing the helmets
= [tex]\frac{48}{900}\times 100 = 5.3 %[/tex]%
answerrrre plleaseeeee!!!!
Answers
Answer:
4) y = x
Let me know if my answer is correct!
Hope this helps!
In 2008, the Los Angeles Times asked members of the American public whether free international trade has helped or hurt the economy. Of those surveyed, a.16 percent said free international trade hurt the economy. b.26 percent said free international trade helped the economy. c.57 percent said free international trade helped the economy. d.30 percent said free international trade hurt the economy.
Answers
Answer:
Option B
Step-by-step explanation:
Of those surveyed, 26 percent said free international trade helped the economy.
They claimed that trade liberalization and increase in investment in physical capital was the main reason behind the growth of the economy.
Hence, option B is correct
If is an angle in quadrant II, what is the value of ?
Answers
pleaseeeeee help!!!!!!!!!
Answers
Answer:
x = 3
Step-by-step explanation:
Formula
CE * DE = AE * BE
Notice how the chords cut each other. Also notice how the segments are equated. See the givens.
Givens
CE = 3
DE = x + 11
AE =x+3
BE = 7
Solution
3*(x + 11) = 7(x + 3) Remove the brackets
3x + 33 = 7x + 21 Subtract 21 from both sides
3x + 33 - 21 = 7x Combine the left
3x + 12 =7x Subtract 3x from both sides
12 = 7x - 3x
12 = 4x Divide by 4
12/4 = 4x/4
x = 3
WILL MARK BRAINILIEST
are the angles corresponding, alternate interior, alternate exterior, or constructive interior
Answers
they are alternate interior angles
Answer:
The answer is constructive interori
Step-by-step explanation:
help me please!!!!!!!
Answers
Answer:
Step-by-step explanation:
julie has 28 cards
gene has 14 cards
sharon has 19 cards
intotal they all have 61 cards
28+14+19=61
