Answers
Explanation:
This is a 45-45-90 triangle, aka an isosceles right triangle. Any triangle of this type will always have each leg congruent to one another, and the hypotenuse is sqrt(2) times that of the leg length.
The hypotenuse is 7*sqrt(2) units long, meaning each leg must be 7 units long.
We can use the pythagorean theorem to solve [tex]x^2+x^2 = \left(7\sqrt{2}\right)^2[/tex] and you should find the positive solution is x = 7. Ignore the negative x solution.
Answer:
7
Step-by-step explanation:
In a 45 -45 90 triangle, the hypotenuse = leg[tex]\sqrt{2}[/tex]
In the triangle, the hypotenuse is given because it is the side opposite the right angle.
hypotenuse = leg[tex]\sqrt{2}[/tex]
7 [tex]\sqrt{2}[/tex] = leg [tex]\sqrt{2}[/tex] Solve for the leg
[tex]\frac{7\sqrt{2} }{\sqrt{2} } =\frac{leg\sqrt{2} }{\sqrt{2} }[/tex]
7 = leg legs are equal in a 45- 45- 90 triangle
Related Questions
Please show the steps you use :)
What are the coordinates of the vertex for f(x) = 3x^2 + 6x + 3? (1 point)
Group of answer choices
(−1, 0)
(3, 6)
(0, −1)
(6, 3)
Answers
Answer:
vertex = (- 1, 0 )
Step-by-step explanation:
Given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
f(x) = 3x² + 6x + 3 ← is in standard form
with a = 3, b = 6 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{6}{6}[/tex] = - 1
Substitute x = - 1 into f(x) for corresponding y- coordinate of vertex
f(- 1) = 3(- 1)² + 6(- 1) + 3 = 3(1) - 6 + 3 = 3 - 6 + 3 = 0
vertex = (- 1, 0 )
find the greatest common factor (GCF) of the given pair of numbers using any of the following methods: listing,prime,factorization and continuous division
16 and 24
10 and 30
14 and 28
20 and 40
9 and 18
10 and 50
25 and 75
12 and 48
18 and 72
50 and 100
Answers
GCF(10,30) = 10
GCF(14,28) = 14
GCF(20,40) = 20
GCF(9,18) = 9
GCF(10,50) = 10
GCF(25,75) = 25
GCF(12,48) = 12
GCF(18,72) = 18
GCF(50,100) = 50
2.9. What is the equation of a line parallel to 3x + 4 = y and passing through
(4,-2)?
A. 3x + 10 = y
B. 3x – 14 = y
C. -*-=y
D. --*x+10=y
Answers
Hello! (:
3x+4=y
We want to convert it into slope-intercept form:
y=mx+b
Our equation looks like this:
y=3x+4
Now, parallel lines have the same slope. So if one line has a slope of 3, the line parallel to it has a slope of 3 as well.
Now, we have the slope and a point, so we write the equation in point-slope form:
y-y1=m(x-x1)
y-(-2)=3(x-4)
y+2=3x-12
y=3x-12-2
y=3x-14
Hence, that is the required equation, Hope it helps you!
If you have any question or query, feel free to ask! (:
~An excited gal
[tex]SparklingFlower (:[/tex]
100 POINTS
find surface area!!
Answers
Step-by-step explanation:
The figure consists of 6 rectangle and 2 triangle faces.
Surface area (excluding bottom side) is:
S = 2(2.4*1.6 + 1.3*1.6 + 1.5*1.6 + (1/2)*2.4*0.9) = 18.8 yd²Total surface area (including bottom side):
A = 18.8 + 2.4*1.3 = 21.92 yd²Answer:
[tex]s \: = \: 2(2.4 \times 1.6 + 1.3 \times 16 + 1.5 \\ \times 16 + ( \frac{1}{2} ) \times 2.4 \times 0.9) \\ \\ = 18.8y {d}^{2} \\ \\ total \: surface \: area \: ( \: including \\ \\ bottom \: side \: ) \\ \\ a \: = 18.8 + 2.4 \times 13 \\ \\ = 21.92y {d}^{2} [/tex]
Hello everyone how are ya‘ll help plz
23x+4=30
Answers
Answer:
= 26/23
Step-by-step explanation:
Which of the following represents a combination reaction?
Select one:
a.
AB --> A + B
b.
AB + CD --> AD + BC
c.
A - B --> C
d.
A + B --> AB
Answers
Answer:
option a is the correct.
I think
Solve the equations.
[tex]\sqrt{x^{2} } =14[/tex]
[tex]\sqrt{x^{2} } =17[/tex]
[tex]\sqrt{y^{2} } =5[/tex]
Answers
Answer:
[tex]x=\pm14\\x=\pm17\\y=\pm5[/tex]
Step-by-step explanation:
Generally, equations in the form [tex]\sqrt{x^2}=c[/tex] where [tex]c[/tex] is some constant, would have [tex]x=\pm c[/tex] as its solution.
This is because the square of a number is always positive regardless of the sign of [tex]x[/tex].
Given the diagram below find the value of x
Answers
Answer:
x = 15
Step-by-step explanation:
a straight line has the angle of 180 degrees
so when added together both angles should equal 180
4x - 17 + 137 = 180
then combine like terms
4x + 120 = 180
and then subtract
4x = 60
and then divide
x = 15
and that is your answer
Which of the following closet to a yard in length?
(a).0.1m
(b).0.01m
(c).1m
(d).100m
Could you answer my question ⁉️
Answers
Answer:
option. b
Step-by-step explanation:
.0.01m........
Someone please help me with this question
Answers
absolute value of -5 in I -5 I
Answers
Answer:
5
Step-by-step explanation:
if x<0 => |x| = -x
So |-5|= -(-5) = 5
what is the answer to 5^-16+24 with solution
Answers
Answer:
24
Step-by-step explanation:
i used calculator. it is so easy
Liam invests $3,670 in a savings account at his local bank which gives 1.9% simple annual interest. He also invests $2,040 in an online savings account which gives 5.5% simple annual interest. After five years, which one will have earned more interest, and how much more interest will it have earned, to the nearest dollar?
Answers
Step-by-step explanation:
Given:
Investment P₁ = $3670Investment P₂ = $2040Rate of interest r₁ = 1.9% SIRate of interest r₂ = 5.5% SITime t = 5 yearsFind amount of interest in both investments:
I₁ = P₁r₁t = $3670*(1.9/100)*5 = $348.65I₂ = P₂r₂t = $2040*(5.5/100)*5 = $561.00As we see the online savings account earns more interest and the difference is:
$561.00 - $348.65 = $212.35 ≈ $212Plz help me. Thank you.
Answers
Answer:
It Is9
Step-by-step explanation:
can someone help me pls
Answers
Answer:
D
Step-by-step explanation:
So you need to find out which is not rational.
A is a rational number because when you put the expression in a caculator you get -14.
B is a rational number.
C is a rational number because it decimal does not continue on.
D is not a rational number because it answer is a non termanting decimal.
...
what type of triangle is ABC,give reasons
Answers
Answer:
ABC in the given figure is an equilateral triangle, its all sides are equal. AB = BC = CA. (i) A triangle in which all the three angles are acute is called an acute angled triangle
Can someone help me with this? I'll give you fifteen points
Answers
Answer: i can help you but i need to know what plot a is does it show on the graph
Step-by-step explanation:
A valuable collection of coins contained old nickels, dimes,quaters, and pennies. The face value of the pennies was $8. Therewere seven more than three times as many quaters as dimes andsixteen less than twice as many nickels as quaters. If the facevalue of the entire collection was $38.40, how many of each kind ofcoin was there?
Answers
Answer:A number line shows 114, −224, and −134. Which statement is NOT true?
Step-by-step number line shows 114, −224, and −134. Which statement is NOT true?
A number line shows 114, −224, and −134. Which statement is NOT true?
Solve for X: x-5=m
Options
x=m
x=5
x=m+5
x=m-5
Answers
Answer:
x=m+5
Step-by-step explanation:
if x minus 5 is m then reverse it and m plus 5 would be x
Answer:
x=m: x-5=m which means m-5=m which means 5=0 which means No Solutions
x=5: x-5=m which means 5-5=m which means m=0
x=m+5: m+5-5 which means m-0=m which means No solutions
x=m-5: m-5-5=m which means m-10=m which means -10=0 which means No solutions
Help me with questions 3 and 4 please!
Answers
Answer:
Question 3: x0 = y1
your basically adding 9 for y!
Question 4: x0 = y1
your adding 1 for y!
Hope this helped!
Answer:
3.)
y=3X + 1
slope is 3
y intercept is 1
4.)
y=(1/2)X+1
slope is 1/2
y intercept is 1
Find the equation of the line, whose slope is 5 and x- intercept is 2
Answers
Answer:
Step-by-step explanation:
when x intercept is points given, then y = 0
So far, you have y = 5x + b where b = the yintercept
x = 2
y = 0
0 = 5x + b
0 =5 * 2 + b
0 = 10 + b Subtract 10 from both sides.
-10 = b
Equation: y = 5x - 10
do y’all know the title to the song that’s like do do dodo do do
Answers
Answer:
BABY SHARK DOO DOO DOO BABY SHARK DOO DOO DOO BABY SHARK DOO DOO DOO BABY SHARK
Step-by-step explanation: 6.9 billion views and 2019 altogether
Answer: Maybe Megalovania?
Step-by-step explanation:
Elena sold ice cream at the fair. One day she sold one-third of the gallons of vanilla ice cream that she had, and then gave away 3 more gallons of vanilla ice cream. At the end of the day, she had one gallon of vanilla ice cream left. Write an equation to find how many gallons of vanilla ice cream Elena had at the beginning of the day.
Answers
Answer:
Nn seem xjjxjjxncjicucdjxklzkjcjfnfklcocjcnndjcicjcnmdjdjxjxjcjcjckckckkckcmcjdjcjceujesjkxmcmckkckckckckckckStep-by-step explanation:
Fand the most part in 2? the best. I think you are awesome. edit! edit on your post? edit! I cut off a bit of payer
True of False? The blue radius is perpendicular to the green chord
Answers
Answer:
Step-by-step explanation:
true i think
The statement that the blue radius is perpendicular to the green cord is false.
What are radius and chords?The radius of a circle is any line segment connecting the centre of the circle to any point on the circle. The chord of a circle is a line segment joining any two points on the circle.
From the complete question,
The blue radius does not bisect the green chord
This means that the blue radius and the green chord do not meet at 90 degrees
Since both lines do not meet at 90 degrees, then they are not perpendicular
Hence, the statement that the blue radius is perpendicular to the green cord is false
Read more about radius and chords at:
brainly.com/question/1869643
#SPJ7
omg please help idek
Answers
Workout the area of a semicircle with a radius of 3cm. Give your answer in terms of pi
Answers
The area of a circle is PI x r^2
Area = PI x 3^2
Area = 9PI
A semicircle is 1/2 a full circle
Area of the semicircle can be written as 9/2PI or 4.5PI cm^2
Step-by-step explanation:
area=22/7*25
are =(22/7*25
area=(3.14*25
area 39.25
The dimensions of a right triangle are shown in the diagram.
What is the length of the missing side, to the nearest tenth of a centimeter?
Answers
Answer:
18.4 cm
Step-by-step explanation:
For this problem, you would use Pythagorean Theorem or a^2+b^2=c^2. Don't forget that the c in the formula is always your hypotenuse or the longest side of the triangle. The a and the b are always the legs of the triangle. (It doesn't matter which leg is which letter) The hypotenuse is also always across from the 90 degree angle. Picture the 90 degree angle as an arrow pointing to the hypotenuse. In this case, the hypotenuse (or c) is 20.7 cm. Now all you have to do is plug and chug! I hope this helps you and thanks for asking your question!!
helppppppppppppppppppppp
Answers
Answer:
Step-by-step explanation:
1) 5 - [-5] = 5 + 5 = 10
2)8 - 13 = 8 + (-13) = -5
3) 12 +(-3) = 9
4) x + (-7) = 5
x - 7 = 5
x = 5 + 7
x = 12
We need to add 12 to (-7) to get 5
5) 7 - x = -5
7 = -5 +x
7 + 5 = x
12 = x
We need to take away 12 to 7 to get (-5)
6) 7 - (-10) = 7 + 10 = 17
17° C
(-2, -1) and (-4, -7)
Find the slope of the line that passes through the two given points
Answers
Answer:
m=3
Step-by-step explanation:
Name the algebraic property demonstrated in the example below:
(2 + x) + y = 2 + (x + y)
Answers
Answer:
0
Step-by-step explanation:
0
