150 cm
7xcm
24x cm
The right-angled triangle in the diagram has sides of length 7x cm, 24x cm and 150 cm
a Show that x= 36.

Answers

Answer 1

9514 1404 393

Answer:

  can't be done. x = 6, not 36

Step-by-step explanation:

Without the diagram we must speculate that the 150 cm length is the hypotenuse. Then we have ...

  150² = (7x)² +(24x)² = (49 +576)x² = 625x² . . . . Pythagorean relation

  150²/625 = x² = 36 . . . . . divide by 625

  x = √36 . . . . . . . . . . . take the square root

  x = 6


Related Questions

9x+5y=34
8x-2y=-2
What are the values of x and y? Please explain the steps.​

Answers

Answer:

x = 1 and y =5

Step-by-step explanation:

[tex]8x -2y= -2\\Divide by -2\\-4x+y = 1\\add 4x\\y= 1+4x\\[/tex]

Substitute this value of y in the next equation.

[tex]9x+5(1+4x) = 34\\9x+5+20x=34\\29x+5=34\\29x=29\\x=1[/tex]

Solve for y using x.

[tex]y=4x+1\\y=4(1)+1\\y=5[/tex]

Two similar polygons have areas of 4 square inches and 64 square inches.

The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .

Answers

Answer:

4

Step-by-step explanation:

The ratio of the area of similar figures is the ratio between corresponding sides squared. This means that 64/4 or 16 is the square of the ratio of corresponding sides. By taking the square root of 16, we get that ratio is 4.

Which algebraic expression is equivalent to the expression below ?

Answers

7 ( X — 1 ) + 15 ( X + 9 )

= 7 X — 7 + 15 X + 135

= 22 X + 135 — 7

= 22 X — 128 ( Ans )

7 ( X – 1 ) + 15 ( X + 9 )

= 7X – 7 + 15X + 135

= 7X + 15X + 135 – 7

= 22X + 128 ( Answer )

PLEASE HELP ITS URGENT!! PLEASE

1.) you are looking at your power bill for the month, you pay 12 cent per kilowatt hour. Running a 60 watt lightbulb for one hour is .0 6 KWH, if you leave a light on all the time that has 3 lightbulbs in it how much would that cost a 30 day month

2.) you were looking at your power bill for the month you pay .11 per kilowatt. Your power bill came out to $80.48 how many KWH of energy were using your house this month

3.) you plan to cut the board into three pieces to repair part of a railing. You are going to cut the two ends of the board into two equal pieces that are 2.6 feet long if the remaining piece needs to be 0.86 times longer than each of the first two cats what length boards did you buy round to the nearest tenth

Answers

1. Electrical energy consumption is measured at kilowatt-hour (KWh). Thus the cost of energy consumed for the month is $31.104.

2. The amount of energy used in the house for the month is 731.634 KWh.

3. The length of the board equals the sum of each length of the pieces. The length of the board to buy is 8.70 feet.

1. The rate of consumption of energy is measured in kilowatt-hour.

In the given question,

12 cent is paid per kilowatt-hour.

60 watts of light for 1 hour = 0.06 KWh

3 light bulbs of 60 Watts each for 1 hour = 3 x  0.06

                                           = 0.18 KWh

But,

30 days = 30 x 24 hours

                        = 1440 hours

The total energy consumed for the month = 1440 x 0.18

                                      =  259.20 KWh

The total cost for the month = 0.12 x 259.20

                                               = $31.104

Thus, the total cost for the month is $31.104.

2. Charge per kilowatt-hour = $0.11

Total power bill = $80.48

So that,

Total cost on bill = amount charge per kilowatt x total energy consumed in KWh

Which implies;

$80.48 = $0.11 x total energy consumed in KWh

total energy consumed = [tex]\frac{80.48}{0.11}[/tex]

                               = 731.634 KWh

Therefore, the amount of energy used in the house for the month is 731.634 KWh.

3. Each length of the two end pieces = 2.6 feet each

Given that the remaining piece needs to be 0.86 times longer than each of the first two. Then;

the length of the remaining piece = 2.6 + 0.86

                                                         = 3.46

The length of the remaining piece = 3.46 feet

The length of the board to buy = 2.6 + 2.6 + 3.46

                                                   = 8.66

Thus, the length of the board to buy is 8.70 feet.

Related link: 1, 2. https://brainly.com/question/13988193

                     3. https://brainly.com/question/16046083

What is the percentage of 360grams of 6kg

Answers

360 grms of 6kg

answer,

first convert 6kg into grms.

6kg = 6000grms.

now,

360 grms of 6kg= (360/6000)×100•/•

= 6 •/•

Sand and gravel are mixed in the ratio 5:3
form ballast
a) How much gravel is mixed with 750kg of
sand?
b) How much sand is mixed with 750kg of
gravel?

Answers

Answer:

a) 450 gravel   b)1250 sand

Step-by-step explanation:

:)

                           

HELP OVER HERE LOL !!
Find the measure of the intercepted arc​

Answers

Answer:

arc GH = 74°

Step-by-step explanation:

The inscribed angle GFH is half the measure of the intercepted arc aGH, then

arc GH = 2 × 37° = 74°

m + 3n =7 help me solve m

Answers

Answer:

m = 7 - 3n

Step-by-step explanation:

subtract 3n from both sides of the equation

If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of Abe?
5
B
С
4
3
D
A
1
2.
1
3
4
-7 6 5 4 3 2 -10
-1
-2
A' = ([?], [ 1)

Answers

Hi! I'm happy to help!

We can see that A's coordinates currently are -6 for x and 2 for y.

When we move x+3, it moves the x coordinate to the right 3 units. This changes it from -6 to -3. When we move y -2, we move the y coordinate down 2 units. This changes it from 2, to 0.

To sum it up: The final coordinates of A will be -3 for x and 0 for y, also written as (-3,0).

I hope this was helpful, keep learning! :D

Find the rare of change for the situations , You run 7 miles in one hour and 14 miles in two hours

Answers

The rate of change is 7 because its 7 miles per hour

x= 3/4 , y= - 2/5 then x+ y =

Answers

Step-by-step explanation:

Given

x = 3/4

y = -2/5

Now

X + y = 3/4 - 2/5

[tex] \frac{3 \times 5 - 2 \times 4}{20} [/tex]

[tex] = \frac{15 - 8}{20} [/tex]

[tex] = \frac{7}{20} [/tex]

Answer:

7/20

Step-by-step explanation:

x=3/4

y= -2/5

x+y=?

to get the sum, plug in x=3/4 into the x and y= -2/5 into the y

1. x + y = ?

2. 3/4 + (- 2/5) = ?

3. 3/4 - 2/5 =?

4. find the lcm of 4 and 5 to get the common denominator (in this case, the lcm of 4 and 5 is 20)

5. multiply 3/4 by 5 (numerator and denominator) and 2/5 by 4 (numerator and denominator)

6. 15/20 - 8/20 = 7/20

the answer is 7/20

Amazon hires you as their data analysist. You have to make a presentation
to their board of directors about which shipping method they should invest
an additional $10 million in. The data they provide you is below.

Please help due today

Answers

Answer:

standard= 21.333%

prime= 42.666%

expedited= 6.666%

locker= 29.333%

How do you simplify the following problem?: 9−4d≥−3

Answers

Answer:

d ≤3

Step-by-step explanation:

9−4d≥−3

Subtract 9 from each side

9-9−4d≥−3-9

−4d≥−12

Divide by -4, remembering to flip the inequality

-4d/-4 ≤ -12/-4

d ≤3

The radius of a circle is 16 ft. Find its area in terms of pi

Answers

Step-by-step explanatio

Find the real or imaginary solutions by factoring.
X^4 -3x^2 = -2x^2

Answers

Look in the images it is solved.

Which of the following numbers are irrational numbers? Please choose all that apply.

Question 2 options:

−67−−√

13

0.6

π

Answers

Pie it has no ending


The rules for two lines are y=x+2 and y=5 - 2x. At what point do they intersect?

Answers

Answer:

(1,3)

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Find the number of gallons of sulferic acid in 50 gallons of solution in a tank, if the percent of sulfuric acid is 50%.

Answers

Answer:

25 gallons of sulfuric acid

Step-by-step explanation:

Find how much sulfuric acid is in the tank by finding 50% of 50 (the total gallons of solution):

50(0.5)

= 25

So, there are 25 gallons of sulfuric acid.

Evaluate the expression for c = 11.
-1 - C=

Answers

Answer:

c=-12

Step-by-step explanation:

place 11 in for C > -1-11=

subtract 11 from -1. -12

P varies directly with T and p=10 when T=500. When T=509, find T

Answers

Answer:

Let,

P= kT

P = 10, when T = 500

So, 10=k500

or, k=10/500

or, k=1/50

When T=509

P=kT

or, P=(1/50)×509

or, P=508/50

or, P = 10.18

And when P = 509 (since the question isn't clear)

509=(1/50)×T

or, T=509×50

or, T=25450

Sonia works at a bakery. The function f(x) represents the amount of money Sonia earns per loaf, where x is the number of loaves she makes. The function g(x) represents the number of bread loaves Sonia bakes per hour, where x is the number of hours she works. Show all work to find f(g(x)), and explain what f(g(x)) represents.

f(x)=9x^2+1
g(x)=square root 2x^3

Answers

Answer:

18x^3+1

Step-by-step explanation:

since g(x)=√2x^3 and f(x)=9x^2+1 then

f(g(x))= 9(g(x))^2 +1 = 9(√2x^3)^2 +1 = 18x^3+1

this represents the amount of money Sonia earns baking loaves in x hours

The equation of f(g(x)) is [tex]f(g(x)) = 9(\sqrt{2x^3})^2 + 1[/tex], and it represents the amount of money Sonia makes when she bakes for x hours

The functions are given as:

[tex]f(x) = 9x^2 + 1[/tex]

[tex]g(x) = \sqrt{2x^3}[/tex]

Recall that:

[tex]f(x) = 9x^2 + 1[/tex]

Substitute g(x) for x

[tex]f(g(x)) = 9(g(x))^2 + 1[/tex]

Substitute [tex]g(x) = \sqrt{2x^3}[/tex]

[tex]f(g(x)) = 9(\sqrt{2x^3})^2 + 1[/tex]

Hence, the equation of f(g(x)) is [tex]f(g(x)) = 9(\sqrt{2x^3})^2 + 1[/tex]

Read more about composite functions at:

https://brainly.com/question/10687170


0_____ is
than all negative numbers.

Answers

Answer:

is whole number

Step-by-step explanation:

plz mrk me brainliest

Answer:

0 is larger than all negative numbers.

Step-by-step explanation:

When dealing with negative numbers, the number closer to zero is the bigger number. Zero (0) has the unique distinction of being neither positive nor negative.

please help me
solve (x+3) (x+7)

Answers

Step-by-step explanation:

Here, we'll need to multiply these two values together.  I'll use the expansion formula, which goes as follows:

[tex](a+b)(c+d)[/tex]

Expand

[tex]ac + ad + bc + bd[/tex]

Lets apply this to the following equation:

[tex](x+3) (x+7)[/tex]

Expand.

[tex](x*x) + (x * 7) + (3 * x) + (3 * 7)[/tex]

Simplify.

[tex](x^2) + (7x) + (3x) + (21)[/tex]

Remove parenthesis and add.

[tex]x^2+10x+21[/tex]

Answer:

x^2+10x+21

1) Tính a) (x+3)^2

b) (2x-1)^2

c) x^2 - 2y^2

d) ( x+2)^3
e)(x-3)^3

Answers

Answer:

1. a) x^2 + 6x + 27

b) 4x^2 - 4x + 1

c) x^2 - 4y^2

d) x^3 + 6x^2 + 12x + 8

e) x^3 - 9x^2 + 27x - 27

Item 4
Luis reads the temperature of a solution in a lab experiment. The temperature of the solution is 5.6º F. After 6 hours, he reads the temperature of the solution again. The temperature of the solution is now −1.2°F .

Luis plots the points on the number line to determine the temperature change between these two readings.

What is the temperature change?

ANSWER:____° F

Answers

The temperature change after 6 hours is 6.8°F

Initial temperature = 5.6°F

Initial temperature = 5.6°FFinal temperature after 6 hours = -1.2°F

The temperature change can be calculated as the difference in the value of final and initial temperature.

Temperature change = (final temperature - initial temperature)

Temperature change = (5.6 - (-1.2))°F

Temperature change = (5.6 + 1.2)°F = 6.8°F

Hence, temperature change after 6 hours is 6.8°F

Learn more : https://brainly.com/question/15473063

Answer:

6.8

Step-by-step explanation:

k12

factories 2x^3+ 7x^2+ 7x +2 emergency pls ​

Answers

hope it helps you...............

Answer:

the answer is (x+1)(x+2)(2x+1)

Plssss help plssssss

Answers

Answer:

True

Step-by-step explanation:

Just compare the numbers to the dots.

I hope this helps!

pls ❤ and give brainliest pls

Answer:

true

Step-by-step explanation:

The answer is true.

According to the rules of Major League Baseball, the infield must be 30 feet by 30 feet in a diamond shape with perpendicular (90°) corners. Answer the following questions regarding the shape of the infield.​

Answers

Answer:

No Major League ballparks are exactly alike, but certain aspects of the field of play must be uniform across baseball.

The infield must be a square that is 90 feet on each side, and the outfield is the area between the two foul lines formed by extending two sides of said square (though the dirt portion of the field that runs well past the 90-foot basepaths in all Major League parks is also commonly referred to as the infield). The field must be constructed so that the bases are the same level as home plate.

The rulebook states that parks constructed by professional teams after June 1, 1958, must have a minimum distance of 325 feet between home plate and the nearest fence, stand or other obstruction on the right- and left-field foul lines, and 400 feet between home plate and the nearest fence, stand or other obstruction in center field. However, some clubs have been permitted to construct parks after that date with dimensions shorter than those specified.

The pitcher's plate must be a 24-inch by 6-inch slab of whitened rubber that is 10 inches above the level of home plate and 60 feet, 6 inches away from the back point of home plate. It is placed 18 inches behind the center of the mound -- which is erected within an 18-foot diameter circle -- and surrounded by a level area that is 5 feet by 34 inches. The slope of the pitcher's mound begins 6 inches in front of the pitcher's plate and must gradually decrease by 1 inch every foot for 6 feet in the direction of home plate.

Home plate is a 17-inch square of whitened rubber with two of the corners removed so that one edge is 17 inches long, two adjacent sides are 8 1/2 inches each and the remaining two sides are 12 inches each and set at an angle to make a point. The 17-inch side faces the pitcher's plate, and the two 12-inch edges coincide with the first- and third-base lines. The back tip of home plate must be 127 feet, 3 and 3/8 inches away from second base.

The other bases must be 15-inch squares that are between 3 and 5 inches thick, covered by white canvas or rubber and filled with soft material.

Step-by-step explanation:

i need help i don’t know the answer

Answers

Answer:

3x - 4 and 2x + 15

Step-by-step explanation:

Answer:

(3x - 4) (2x + 15)

Step-by-step explanation:

6x² + 37x - 60

Using "splitting the middle term" method,

we get;

6x² + 45x - 8x - 60

= 3x (2x + 15) - 4 (2x + 15)

= (3x -4) (2x + 15)

pls help pls pls pls pls

Answers

Answer:

B' - (3,1)

C' - (3,8)

D' - (6,-1)

Step-by-step explanation:

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