➠ The Pythagorean theorem was put forward by the Greek mathematician and philosopher named Pythagoras.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other sides.
[tex]\\[/tex]
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Step by step explanation :Side BC:BC² = DC² + DB²
BC² = 3m² + 4 m²
BC² = 9m + 16m
BC² = √25 m
BC² = 5 m
Side DC:DC² = BC² - DB²
DC² = 5m² - 4 m²
DC² = 25 m - 16m
DC² = √9 m
DC² = 3 m
[tex]\\[/tex]
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[tex]\huge\mathfrak\red{Learn \: more \: about :}[/tex]
https://brainly.co.id/tugas/49184334https://brainly.co.id/tugas/2847445https://brainly.com/question/27055225______________>♡<_____________
Details Anwers:♬ Subject : Mathematics♬ Class : 8♬ Level : Junior High School♬ Code Soal : 2♬ Categorization : 8.2.5♬ Keywords : Pythagorean triangle#Greetings Form Indonesian
find the outer perimeter of this figure. round your answer to the nearest hundredth. use 3.14 to approximate pi.
Answer:
19.42 ft
Step-by-step explanation:
Triangular part = 5+5 =10
Semi-circular part = 1/2×2πr = 1/2×2×3.14×3 = 9.42
Perimeter = 10+9.42 = 19.42ft
For semicircular
Outer perimeter
πr3.14(3)9.42Now
Total perimeter
5+5+9.4218.42ft1. How do you define quadratic equations?
Answer:
[tex]ax^{2} +bx+c^{2}=0[/tex]
Step-by-step explanation:
A quadratic equation is a equation that takes the form: [tex]ax^{2} +bx+c^{2} = 0[/tex]
Ex. Using our definition of quadratic equations, [tex]ax^{2} +bx+c^{2}=0[/tex],
We can set a = 2, b = 1, c = 6:
[tex]2x^{2} +x+6^{2}=0[/tex]
[tex]2x^{2} +x+36=0[/tex]
Which can then be solved (if you are trying to solve it) as:
[tex](2x+9)(x-8)=0[/tex]
[tex]x=\frac{9}{2}, 8[/tex]
what is -13.72842 rounded to the nearest tenth
Answer:
-13.7
Step-by-step explanation:
-13.72842
-13.7284
-13.728
-13.73
-13.7
I rounded this way
Answer:
-13.7 is the answer!Please guys I keep getting this question wrong What letter is located at approximately right answers only
√
22
A E
B F
C G
D H
You recently borrowed $500 from a friend. You signed a contract that requires you to pay back one third of the loan every month for three months. How much will you have to pay back each of the first two months? How much will you have to pay back the third month?
The amount of money I would repay in the first month is $166.67.
The amount of money I would repay in the second month is $166.67.
The amount of money I would repay in the third month is $166.66.
How much would I repay each month?In order to determine the money that would be repaid each of the first two months, multiply 1/3 by the amount of the loan.
1/3 x $500 = $166.67
Amount to be repaid in the third month = $500 - (166.67 x 2) = $166.66
To learn more about loans, please check: https://brainly.com/question/25811386
A square has a side length of 1.2 feet. If the square is dilated by a factor of 2.5, what is the length of a side of the new square?
Answer:
Step-by-step explanation:
It starts out at 1.2 feet. In math, dilation means make larger or smaller, so I have to give you both answers. Check with your instructor to see what the question intends.
Larger
1.2 * 2.5 = 3
Smaller
1.2 / 2.5 = 0.48
Answer:
beef
Step-by-step explanation:
beef is the answer to everything
Graph this line using the slope and y-intercept:
y=1/10x
Which of the following are perfect squares 484 -81 525 125 225
Answer:
225
Step-by-step explanation:
15X15 equals 225
Given that
a
= 24° and
b
= 70°.
Work out
x
, explaining each stage of your working in the comment box.
Answer: 32 degrees
Step-by-step explanation:
Can someone help me I’m slow and not understanding
Juanita begins to factor an expression as shown.
x2+3x−18=(x+)(x−)
What numbers should be placed in the boxes from left to right?
Answer:
(x+6)(x-3)
solve:
[tex]\sf x^2+3x-18[/tex]
the least common multiple of 1 and 18 is 18 : 6 * 3
[tex]\sf x^2+6x-3x-18[/tex]
breakdown
[tex]\sf x(x+6)-3(x+6)[/tex]
build parenthesis
[tex]\sf (x-3)(x+6)[/tex]
Consider the expression 8-6x+x^2, Is the expression equivalent to (x-4)(x-2)?
Answer:
Yes
Step-by-step explanation:
Factoring is the process of breaking a polynomial into its factors.
Standard Form
It is easiest to factor when in standard form. Standard form is when the terms are listed from highest power to lowest.
Standard form is [tex]x^2-6x+8[/tex]Factoring
To find if two expressions are equal we can either factor the quadratic or multiply out the binomials. I find factoring to be faster and easier, so I will show that.
There are multiple techniques to factor; I will be explaining one of them. One way to factor quadratics is to find 2 numbers that multiply to c (the constant) and sum to b (the second term). In this case, the numbers -4 and -2 fit these requirements.
-4 * -2 = 8-4 + -2 = -6This means that [tex]x^2-6x+8[/tex] factored is [tex](x-4)(x-2)[/tex]. Thus, they are equivalent.
Can someone do this?
Step-by-step explanation:
I wrote down the steps Step-by-step for you
I hope you understand....
How to solve 3x-y=11, x+2y=6 with the method of elimination?
Answer:
First point we take the centre number
2[ 3x-y=11]
-1[ x+2y=6]
second we multiply and we adding
6x-2y=22
-x+-2y=-6
_________
5x/5=18/5
x= 3.4
Step-by-step explanation:
third point we take 3x-y=11 any x where we see we change 3.4
3(3.4)-y=11
10.2-y=11
y=10.2-11
y=0.8
test question dont mind me
Answer: okay.
Step-by-step explanation:
Which is the best estimate of (-3/5)(17 5/6)
0 -18
O-9
0 9
O 18
8. A bus is traveling between two cities that
are in neighboring states. The graph of
the function d(t) = 60lt - 1.251 shows the
distance of the bus in miles from the state line,
where t represents time in hours.
a. What does the graph tell you about the bus ride?
Answer: See below
Step-by-step explanation:
The graph shows uniform motion. First of all, it travels with constant speed in the time interval of (0 to 1.25) hours. And secondly, it travels with constant speed in the time interval (1. 25 to 2.5) hours.
Deena has 2 pairs of white socks 3 pairs of black socks, 1 pair of red socks, and 2 pairs of navy socks in her sock drawer. Each
pair of socks is folded together. If she pulls a pair of socks out of her drawer in the morning without looking, what is the
probability that she will choose a pair of white socks?
Answer:
3/8=0.375
Step-by-step explanation:
There are a total of 8 pairs and three of them are White. Its a simple fraction and figure out the decimal.
Given f (x) = 2x + 3 and g(x) = x2 – 5x + 6, compute (fog)(x) =
Answer:
(fog)(x) = 2x² - 10x + 15
Step-by-step explanation:
(fog)(x) is called a composite function, where x in f(x) substituted by g(x).The range of g(x) is the domain of f(x)Let us solve our question
∵ f(x) = 2x + 3
∵ g(x) = x² - 5x + 6
→ We need to compute (fog)(x)
∴ Substitute x in f(x) by g(x)
∵ (fog)(x) = 2(x² - 5x + 6) + 3
→ Multiply the bracket by 2
∵ 2(x² - 5x + 6) = 2(x²) - 2(5x) + 2(6)
∴ 2(x² - 5x + 6) = 2x² - 10x + 12
→ Substitute it in the composite function above
∴ (fog)(x) = 2x² - 10x + 12 + 3
→ Add the like terms 12 and 3
∴ (fog)(x) = 2x² - 10x + 15
please help me please
Answer:
4/5
Step-by-step explanation:
Judging by the graph, it looks like there are 2 points at (0, 2) and (5, 6).
We can find the slope by 'subtracting' these points:
(6-2)/(5-0) =4/5
If you ever need to remember this trick, you can remember "rise over run".
I hope this solution helped you. Happy mathing!
Find the midpoint of the segment with the following endpoints.
(8,4) and (2,7)
Answer: The midpoint is (5,5.5)
Step-by-step explanation:
Adding X1 And X2 equals 10. Then the x variables have to be divided which is 10 divided 2 equals 5, the 5 represents the x value of the x part of midpoint. (5,?)
Adding Y1 and Y2 equals 11. Then the y variables have to be divided by 2 which is 11 divided by 2 equals 5.5, the 5.5 represents the y value of the midpoint. (?,5.5)
The final answer is Midpoint = (5,5.5)
what is the slope-intercept form equation that represents the line?
Answer:
y=-1/2x+4
Step-by-step explanation:
4 people can dig a trench in 3 hours How long would it take 9 people give your answer in minutes
Answer:
1 hour and 20 minutes
Step-by-step explanation:
If 4 people take 3 hours, 1 person will take 4 times as long. This is 4*3=12 hours. If 9 people do it, it will take 1/9 of the time 1 person takes to do it, which is 12/9 = 1.3 recurring, or 1 and 1/3 of an hour.
Answer:
it takes 80 minutes
Step-by-step explanation:
Hope this helps
Last year you could get a hamburger, fries, and a cola at Francisco's Drive-In for $2.00. Since the price of a hamburger has increased 10%, the price of fries has increased 30%, and the price of a cola has increased 50%, the same meal now costs $2.58. If the price of a cola is now 9 cents more than that of a hamburger, what was the price of each item last year?
Answer:
hamburger = h = $0.22
Fries = f = $0.96
Cola = c = $0.82
Step-by-step explanation:
Let
last year's price for each item be hamburger = h
Fries = f
Cola = c
h + f + c = 2.00 (1)
The price of a hamburger has increased by 10%
New price of hamburger = 1.10h
The price of fries has increased by 30%
New price of fries = 1.30f
The price of cola has increased by 40%
New price of cola = 1.40c
The same meal now costs $2.58.
1.1h + 1.3f + 1.4c = 2.58 (2)
If the price of a cola is now 9 cents more than that of a hamburger
1.4c = 1.1h + .09
1.4c - 1.1h = .09
Multiply (1) by 1.4
h + f + c = 2.00 × 1.4
1.4h + 1.4f + 1.4c = 2.8 (3)
1.1h + 1.3f + 1.4c = 2.58 (2)
subtract the new equation:
0.3h + 0.1f = 0.22
Multiply by 10
3h + f = 2.2
Recall,
1.4c - 1.1h = .09
1.4h + 1.4f + 1.4c = 2.8 (3)
- 1.1h + 0.0f + 1.4c = .09
Subtract
2.5h + 1.4f = 2.71
multiply by 10
25h + 14f = 27.1
Recall
3h + f = 2.2
Multiply by 14
42h + 14f = 30.8
25h + 14f = 27.1
Subtract to eliminate f
17h = 3.7
Divide both sides by 17
h = 3.7 / 17
= 0.22
h = 0.22
Substitute h into
1.4c - 1.1h = .09
1.4c - 1.1(0.22) = .09
1.4c - 0.242 = .09
1.4c = .09 + 0.242
1.4c = 1.142
Divide both sides by 1.4
c = 1.142 / 1.4
= 0.82
c = 0.82
Substitute values of c and h into
h + f + c = 2.00
0.22 + f + 0.82 = 2.00
1.04 + f = 2.00
f = 2.00 - 1.04
f = 0.96
Therefore, the price of each item last year was
hamburger = h = $0.22
Fries = f = $0.96
Cola = c = $0.82
Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor a function?
y=3x to the power of 2, -9x+20
The Correct answer Answer:
B. both a relation and a function
Step-by-step explanation:
SisjsjkakaiaiiaiaiaiSKSKSKSKSKKSKSKSKSKKSJSJSKSMSMSJSJSM
Answer:
2(6+1)
Step-by-step explanation:
its so easy because in sec..134 there is a • like this and look
2(6+1)
2 of 7
2×7
14,,,
and
24-5×2=14,,, is the answer,,,
ASAP please answer correctly if you do I will mark brainliest. Only DO NUMBER 10 please so you only have 1 question to do.
X=2
Step-by-step explanation:
4x=6
-4x.-4
x=2 so your answer Is x=2
Answer:
x = 3
Step-by-step explanation:
perimater
3 + 3 + 2x + 2x
6 + 4x
area
3(2x)
6x
substitute:
6x = 6 + 4x
-4x -4x
2x = 6
x = 3
Mary is n years old. Write an expressions for her age 10 years ago.
Answer:
[tex]n-10=a[/tex]
Answer:
Mary is x years old
when we write the expression for her age which represents 12 years from now, it means we have to add 12 years in the age of Mary, and she is x years old now
so the expression will be:
x+12
and the expression which represents her age two years ago from now when she is x years old is:
x-2
if we know the x, we can calculate easily her age for above two expressions.
Step-by-step explanation:
Solve angle X to 1 dp
Answer:
x ≈ 57.8°
Step-by-step explanation:
using the Sine rule in the triangle
[tex]\frac{11}{sinx}[/tex] = [tex]\frac{8}{sin38}[/tex] ( cross- multiply )
8 × sinx = 11 × sin38° ( divide both sides by 8 )
sinx = [tex]\frac{11sin38}{8}[/tex] , then
x = [tex]sin^{-1}[/tex] ( [tex]\frac{11sin38}{8}[/tex] ) ≈ 57.8° ( to 1 dec. place )
What is the direction of W? PLEASE HELP ASAP
Answer:
-161.57°, or 198.43°
Step-by-step explanation:
The third-quadrant angle can be found using the usual rectangular-to-polar conversion. The angle is given by ...
θ = ATAN2(x, y) = ATAN2(-12, -4) ≈ -161.57°
__
More conventionally, the reference angle is ...
tan(θ) = y/x = -4/-12 = 1/3
θ = arctan(1/3) ≈ 18.43° . . . . angle from -x axis (CCW)
Since this is a 3rd-quadrant angle, the positive angle value will be 180° plus the reference angle:
180° +18.43° = 198.43°
The angle most directly measured from the +x axis is ...
360° -198.43° = -161.57°