The Pythagoras Theorem

Answers

Answer 1

Answer:

The Pythagoras theorem is a mathematical

law that states that the sum of squares of

the lengths of the two short sides of the

right triangle is equal to the square of the

length of the hypotenuse.

Step-by-step explanation:

a^2+b^2=c^2

Answer 2
It’s a squared plus b squared equals c squared. Or a^2 + b^2 = c^2

Related Questions

A circular table has a radius of 5cm. Decorative trim is placed along the outside edge. How
long is the trim?

Answers

Circumference of a circle is pi x d
5x2=10 for the diameter of the circle
Then just multiply 10 by pi to get the circumference (outer edge) is the circular table.
Answer=31.41592654

PLZZ HELP ASAP AND SHOW WORK PLZ

Answers

Answer:

39 acute isoceleleellsllelsls

Step-by-step explanation:

The angles of triangle always add to 180 degrees. So that angle on the bottom already takes up 102 so 180-102=78 and there are 2 angles left so both of those are 39 because 78/2=39  and 39 is an acute angle since its less than 90 degrees so ya

hi please answer me asap I will mark brainlist​

Answers

Answer:

1) c

2) b

3) d

4) b

5) c

6) b

7) b

8) d

9) c

F is proportional to a If F = 36 when a = 9 find, a when F = 32

Answers

Answer:

a = 8

Step-by-step explanation:

Given F is proportional to a then the equation relating them is

F = ka ← k is the constant of proportion

To find k use the condition F = 36 when a = 9

36 = 9k ( divide both sides by 9 )

4 = k

F= 4a ← equation of proportion

When F = 32 , then

32 = 4a ( divide both sides by 4 )

8 = a

Solve the equation for a.

K = 4a + 9ab

a = K(4 + 9b)
a = 4(K + 9b)
a = a equals StartFraction 4 plus 9 b Over K EndFraction equals h.
a = a equals StartFraction K Over 4 plus 9 b EndFraction equals h.

Answers

Answer:

a = k/(4 + 9b)

Step-by-step explanation:

Here, we want to make a the formula subject

We have this as;

k = a(4 + 9b)

a = k/(4 + 9b)

The expression for a fom the give expression is a = k/(4 + 9b)

Subject of formula

Given the following equation

K = 4a + 9ab

Factor out the GCF

K = a(4 + 9b)

Divide both sides by 4 + 9b
k/4+9b = a(4 + 9b)/4+9b
k/(4 + 9b) = a

Hence the expression for a fom the give expression is a = k/(4 + 9b)

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Calcula el porcentaje de sal de mesa o cloruro de sodio que contiene una disolución que se preparó con 5 gramos de cloruro de sodio y 95 gramos de agua.

Answers

Answer:

inglese please

Step-by-step explanation:

Question 1
Researchers want to find a way to increase the growth rate of corn so it can be harvested more often. To test the effectiveness of a new type of spray fertilizer, plants grown from 200 corn seeds were divided equally into two groups: a treatment group and a control group. The treatment group was frequently sprayed with the new type of fertilizer. The growth in centimeters of each corn plant was noted before and after the treatment.

The results showed that the mean change in the growth rate by the treatment group is 8 points more than that of the control group. To test whether the results could be explained by random chance, researchers created a table that summarizes the results of 1,000 re-randomizations of the data with differences of means rounded to the nearest 2 points.

Consider the significance level to be set at 5%, so results less than 5% can be considered statistically significant.
Part B
Question
Which statement is true about the result considering a significance level of 5%?

The result is not statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does not increase the growth rate.
The result is not statistically significant, which implies that this result could be due to random chance.​

Answers

Answer:

So what are you asking me to do

Answer:

A.

Step-by-step explanation:

Evaluate the function
f(8) + g(-1) for the functions f(x) = -2x + 9 and g(x) = x²-2

Answers

Answer:

- 8

Step-by-step explanation:

To evaluate f(8) substitute x = 8 into f(x)

f(8) = - 2(8) + 9 = - 16 + 9 = - 7

Similarly for g(- 1)

g(- 1) = (- 1)² - 2 = 1 - 2 = - 1

Then

f(8) + g(- 1) = - 7 + (- 1) = - 7 - 1 = - 8

The perimeter of a rectangle is 80x. The base is 7 times the height. In terms of x, what are the dimensions of the rectangle?

a.
h = 10x, b = 10x
c.
h = 3x, b = 5x
b.
h = 5x, b = 35x
d.
h = 5x, b = 25x

Answers

h= 5x, b= 35x because this is the only answer which implies that the base is 7 times the height

and if u should add this equation it will result to [5+5+35+35] it would be equal to 80

Please help I’ll give brainliest

Answers

Answer:

3675

Step-by-step explanation:

3500x.05 (5%)=175 GCT

3500+175=3675.

Find the value of the y-intercept of the line whose equation is 5x - 3y = -12.

A. -12/5
B. -4
C. 4

Answers

Answer:

C. 4 is the right answer!

Step-by-step explanation:

What is the solution to this equation? X/4 =-12
A. x = 48
B. X= -3
C. x = -48
D. X= 3

Answers

Answer:

C. x=-48

Step-by-step explanation:

x/4=-12

multiply both sides by 4

4x/4=4 (-12)

simplify

x=-48

The triangles below are similar. Find the length of ED.

Answers

Answer:

ED = 6

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{ED}{BA}[/tex] = [tex]\frac{EF}{BC}[/tex] , substitute values

[tex]\frac{ED}{9}[/tex] = [tex]\frac{12}{18}[/tex] ( cross- multiply )

18 ED = 108 ( divide both sides by 18 )

ED = 6

Who good at angles ?

Answers

Answer:

JRQ = 56

Step-by-step explanation:

SRQ - SRJ = JRQ

166 - 110 = 56


Tony is building a new silo to store corn as animal feed. It will be a cylinder
topped with a half-sphere, and must store 21 000 t of corn. The entire silo can be
filled with corn. Tony wants to minimize the surface area of the silo to reduce
materials and paint costs. He has the following information:
• 1 cubic m of corn has a mass of 700 kg.
• Building costs are $8/m2, taxes included.
• Paint comes in 3.8 L cans.
Each can covers 40 sq m and costs $35,
taxes included.
• Corn costs $140 per tonne ($140/t), taxes
included.
02
Recall that 1 ton = 1000kg
What is the total cost to build, paint, and fill a silo with the least surface area?

Answers

Answer:

its $2,400

Step-by-step explanation:

if this helps please mark brainliest

A local water park has two types of season passes. Plan A costs a one-time fee of $144 for admission plus $10 for parking every trip. Plan B costs a one-time fee of $48 for parking plus $22 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?

Answers

Please mark Brainliest!

Plan A = 10x + 144
Plan B = 48 + 22y
Equate them
10x + 144 = 22y + 48
22y - 10x = 144 - 48
22y - 10x = 96
divide by 2
11y - 5x = 48
What I did was just use trial and error at this point.
11(8) - 5(8) = 48

8 visits must a person make for plan A to plan B.

The person must make 8 trips for Plan A and B to be equal.

Plan A will cost $144 and then $10 for every parking. Assuming the number of trips is x, the expression would be:

= One time fee + (Fee per parking x number of trips)

= 144 + 10x

Plan B will cost $48 then parking of $22. Expression will be:

= 48 + 22x

To find out the number of trips where the cost will be equal, equate the two:

144 + 10x = 48 + 22x

144 - 48 = 22x - 10x

96 = 12x

x = 96 / 12

x = 8 trips

The person must therefore make 8 trips for Plan A and B to be equal.

Find out more at https://brainly.com/question/2130743.

If there are 28 girls and 32 boys in the school’s band, what is the ratio of boys to to total students?
If it takes 2 cups of flour to make 45 cookies, how many cups of flour will it take to make 135 cookies? (hint: set up a proportion.)
A factory makes 12 bikes in 3 hours. If it keeps making bikes at the same rate, how many bikes will it have made in 8 hours? (hint: set up a proportion.)
On a map, two cities measure 6.2 cm apart. If the scale of the map is 5 cm per 10 miles, then how many miles apart are the cities? (hint: set up a proportion.)
4 questions will mark brainliest 1st to answer them in order

Answers

Answer:

1. 8:15

2. 6

3. 32

4. 12.4

Analyze the diagram below and complete the instructions that follow. find tan

Answers

Let the side opposite 30 degrees be A and the side adjacent 30 degrees be B

PLSS HELP NEED ANSWER RIGHT NOW BEFORE THE TIME ENDS!
THANK YOU!!​

Answers

Answer:

third box

first box

second box

Step-by-step explanation:

1/3x + 1/4 -2/3x; combine like terms

-1/3x + 1/4 (third box)

1/3x + 1/4 + 2/3x; combine like terms

(3/3)x +1/4 (first box)

3/3 is 1, so we don't have to write it

2/3 + 3/4x -1/3; combine like terms

1/3 + 3/4x (swap, and is second box)

helppp me i need help plzzzzz

Answers

Answer:

x+3y -10 =0

Step-by-step explanation:

In slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -1/3x +10/3

We want it in the general form  ax+by +c =0  where a,b,c are integers and a>0

Multiply by 3 on each side

3*y = 3(-1/3x +10/3)

3y = -x +10

Add x to each side

x+3y = -x+10 +x

x+3y = 10

Subtract 10 from each side

x+3y -10 = 10-10

x+3y -10 =0

Problem:

The slope of a line is [tex] - \frac{1}{3} [/tex] and the y-intercept is [tex] \frac{10}{3} [/tex]. What is the equation of the line written in general form?

Choices:

○ 10x + 3y - 1 = 0

○ x + 3y + 10 = 0

○ x + 3y - 10 = 0

Remember to use this formula:

[tex] \quad \quad\quad\quad\boxed{\tt{y = mx + b}}[/tex]

Given that:

[tex]\quad \quad\quad\quad\boxed{\tt{Slope (m) = \frac{1}{3} }}[/tex]

[tex]\quad \quad\quad\quad\boxed{\tt{y \: intercept(b) = \frac{10}{3} }}[/tex]

Lets try!

[tex] \quad \quad\quad\quad\boxed{\tt{y = - \frac{ 1}{3}x + \frac{10}{3} }}[/tex]

Then convert it in general form using this formula:

[tex] \quad \quad\quad\quad\boxed{\tt{ax + by + c = 0}}[/tex]

Each side will be multiply by 3

[tex] \quad \quad\quad\quad\boxed{\tt{ (3)y = 3(- \frac{ 1}{3}x + \frac{10}{3} )}}[/tex]

[tex] \quad \quad\quad\quad\boxed{\tt{ 3y = \cancel{ \color{red}3}(- \frac{ 1}{ \cancel{ \color{red}3}}x + \frac{10}{ \cancel{ \color{red}3}} )}}[/tex]

[tex] \quad \quad\quad\quad\boxed{\tt{3y = - x + 10}}[/tex]

Let's convert "x" like this.

[tex] \quad\quad\quad\boxed{\tt{3y = - x + 10}} \: ➡ \: \boxed{\tt{x + 3y = 10}}[/tex]

Convert "10" like this.

[tex] \quad\quad\quad \boxed{\tt{x + 3y = 10}} \: ➡ \: \boxed{ \tt{x + 3y - 10 = 0}}[/tex]

Hence, the answer is:

[tex]\quad \quad\quad\quad \boxed{ \color{green}{ \tt{x + 3y - 10 = 0}}}[/tex]

_________

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Wilt Chamberlain scored 100 points in a single basketball game on March 2, 1962. In that game, he made 36 field goals (baskets) in 63 attempts. Find the ratio of field goals to attempts

Answers

36:63 is the answer you are looking for. You do not include the ‘100’ because that is the total of the two numbers.

Answer:

Field goals: No. of attempts

36:63

4:7 (simplest form)

Hence, the answer is 4:7.

is due today !! need help (show work/explanation)

Answers

Answer:

Step-by-step explanation:

radius=diameter/2

=8/2

=4 m

volume of a cylinder =πr^2h

=3.14*(4)^2*13

=40.82*16

=653.12 m^3

653. 12^3
blahblahblag

Evaluate the expression c5 when c = 3.

Answers

Replace c with 3:

3^5 = 3 x 3 x 3 x 3 x 3 = 243

The answer is 243

Answer:

15

Step-by-step explanation:

c5

3(5)

3 x 5

15

4. Meg uses 1/2 of her supply of raisins
to make trail
mix and 3/10 of her supply of raisins to make
cookies. If Meg uses 8 pounds of raisins, how many
pounds of raising are in her supply

Answers

Answer:

10 pounds

Step-by-step explanation:

Let x represent the amount of raisins Meg have in her supply. She uses 1/2 of her supply of raisins  to make trail  mix and 3/10 of her supply of raisins to make  cookies which gives a total of 8 pounds of raisins being used. To find the amount of raisins she has in her supply, we use the equation:

(1/2)x + (3/10)x = 8

multiply through by 20:

(1/2)x * 20 + (3/10)x * 20 = 8 * 20

10x + 6x = 160

16x = 160

Divide both sides of the equation by 16:

16x/16 = 160/16

x = 10 pounds

Therefore she have 10 pounds of raisins in her supply

A certain word game contains a large 20-sided die with letters instead of numbers on the sides. If all of the vowels (a, e, i, o, and u) are on the die, then what is the probability of rolling a vowel?

Answers

Answer:

The probability to get the vowel is 1/4.

Step-by-step explanation:

The number of elements in sample space, n(S) = 20

The number of elements in event, n (E) = 5

The probability to get the vowel is

[tex]P(E) =\frac{n(E)}{n(S)}\\\\P(E)=\frac{5}{20}\\\\P(E) = \frac{1}{4}[/tex]

in a cave, a stalactite gets 4 millimeters longer each year. This year it is 72 centimeters long. How many years until it is 1 meter long?

Answers

It’ll take 70 years until it hit 1 meter.

lmk if this helped :)

Which of the following is a factor of 8x2– 10x– 3?

Answers

Answer:

8x2- 10x- 3 = 46

Step-by-step explanation:

The most simplified answer will be (4x+1) (2x-3), I hope this helps!

Find the value of x.



A. 12
B. 5
C. 16
D. 4

Answers

Answer:

According to intersecting chard theorem:-

[tex]12(x)=8(x+2)[/tex]

[tex]12x=8x+16[/tex]

[tex]12x-8x=16[/tex]

[tex]4x=16[/tex]

[tex]x=16/4[/tex]

[tex]x=4[/tex]

So, your answer is D) 4

-------------------------------

hope this helps you!!

The required value of the x is 4 for the given circle. Option D is correct.

A figure is shown of a circle with two intersecting cords fractions 12+x and x+2+8. The value of the x is to determine.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²,
where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.

The chords of the circle is the lines that bisect the circles in two parts, Longest chord of the circle is the Diameter.

Now.

x+2/x=8/12
12x = 8x+16

12x-8x=16
4x = 16
x = 4

Thus the required value of x is 4 for a given circle.

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What is the slope of the line represented by the equation y=-1/2-5x

Answers

Answer:

m = -5

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Identify

y = -1/2 - 5x

Compare:

y-intercept b = -1/2

slope m = -5

Answer:

The slope is -5 and the y intercept is -1/2

Step-by-step explanation:

This equation is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -5x-1/2

The slope is -5 and the y intercept is -1/2

If g(x) is the inverse of f(x), what is the value of f(g(2)?

Answers

Answer:  C) 2

============================================================

Explanation:

g(x) is the inverse of f(x), which tells us that g undoes everything f(x) does.

If we input x = -6 then f(x) outputs 1

g(x) then reverses this to say that g(1) = -6. The inputs and outputs swap roles.

Moving to row 2, we see that f(-3) = 2 which reverses to g(2) = -3

We'll replace the g(2) with -3 to go from

f( g(2) )

to

f( -3 )

-3 isn't the answer, but I wanted to put it in bold to show how the replacement is happening.

From the table, we see that f(-3) = 2 which is the final answer

In other words, f(g(2)) = 2

------------------------------

Side note:

We can say that f(g(x)) = x for any number x in the domain of g(x).

As another example, g(3) = 5 and f(g(3)) = f(5) = 3.

The same works the other way around meaning that g(f(x)) = x.

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