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yanalaym [24]
3 years ago
15

Nine over twelve equals fifteen over n A. 18 B. 20 C. 22 D. 17

Mathematics
1 answer:
earnstyle [38]3 years ago
3 0

Answer:

\frac{9}{12} = \frac{15}{y} \\(12 * 15) /  9 = 20\\B) 20

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago
Read 2 more answers
PLEASE HELP ME!!!
VladimirAG [237]

Answer:

Part 1) c=\sqrt{146}\ cm

Part 2) c=8\sqrt{2}\ in

Part 3) The diagonal of rectangle is d=3\sqrt{29}\ cm

Part 4) The length of the diagonal of computer monitor is d=15\ in

Part 5) The ramp is 10.59\ ft long

Part 6) The distance between their houses is =4\sqrt{2}\ mi

Part 7) 234.31\ mi

Part 8) 120 feet of wire is required

Step-by-step explanation:

Part 1) we know that

To find the length of the hypotenuse in a right triangle apply the Pythagorean Theorem

c^2=a^2+b^2

where

c is the hypotenuse (the greater side)

a and b are the legs

we have

a=11\ cm\\b=5\ cm

substitute

c^2=11^2+5^2

c^2=146

c=\sqrt{146}\ cm

Part 2) we know that

To find the length of the hypotenuse in a right triangle apply the Pythagorean Theorem

c^2=a^2+b^2

where

c is the hypotenuse (the greater side)

a and b are the legs

we have

a=8\ in\\b=8\ in

substitute

c^2=8^2+8^2

c^2=128

c=\sqrt{128}\ in

simplify

c=8\sqrt{2}\ in

Part 3) we know that

To find the length of the diagonal in a rectangle apply the Pythagorean Theorem

d^2=b^2+h^2

where

d is the diagonal of rectangle

b and h are the base and the height of rectangle

we have

b=15\ cm\\hb=6\ cm

substitute

d^2=15^2+6^2

d^2=261

d=\sqrt{261}\ cm

simplify

d=3\sqrt{29}\ cm

Part 4) we know that

To find the length of the diagonal of a computer monitor apply the Pythagorean Theorem

d^2=w^2+h^2

where

d is the diagonal of computer monitor

w and h are the wide and the high of computer monitor

we have

w=12\ in\\h=9\ in

substitute

d^2=12^2+9^2

d^2=225

d=\sqrt{225}\ in

simplify

d=15\ in

Part 5) we know that

To find out the length of the ramp apply the Pythagorean Theorem

L^2=x^2+y^2

where

L is the length of the ramp

x  is the horizontal distance of the ramp

y  is the vertical distance of the ramp

we have

x=10\ ft\\y=3.5\ ft

substitute

L^2=10^2+3.5y^2

L^2=112.25

L=10.59\ ft

Part 6) we know that

To find the distance between their houses apply the Pythagorean Theorem

c^2=a^2+b^2

where

c is the hypotenuse (distance between their houses)

a and b are the legs

we have

a=4\ mi\\b=4\ mi

substitute

c^2=4^2+4^2

c^2=32

c=4\sqrt{2}\ mi

Part 7) we know that

The speed is equal to divide the distance by the time

speed=distance/time

so

the distance is equal to multiply the speed by the time

distance=speed*time

<em>First train</em>

speed=60 mph

time=3 hours

distance=60(3)=180 miles

<em>Second train</em>

speed=50 mph

time=3 hours

distance=50(3)=150 miles

To find out how far apart are the trains at the end of 3 hours apply the Pythagorean Theorem

c^2=a^2+b^2

where

c is the hypotenuse (distance between the trains)

a and b are the legs

we have

a=180\ mi\\b=150\ mi

substitute

c^2=180^2+150^2

c^2=54,900

c=234.31\ mi

Part 8)  we know that

For one tree is needed three wire

To find out the length of one wire apply the Pythagorean Theorem

c^2=a^2+b^2

where

c is the hypotenuse (length of one wire)

a and b are the distance above the ground and the distance from the base

we have

a=3\ ft\\b=4\ ft

substitute

c^2=3^2+4^2

c^2=25

c=5\ ft

so

For one tree is required ----> (5)3=15 ft

therefore

For 8 trees is required

Multiply by 8

15(8)=120 ft

6 0
3 years ago
Let x = a + bi and y = c + di and z = f + gi. Which statements are true? Check all of the boxes that apply. x + y = y + x (x × y
Leni [432]

Answer:

<h3>The statements i) x+y=y+x</h3><h3> ,iv) (x+y)+z=x+(y+z)</h3><h3>and v) (x-y)-z = x-(y-z) are true </h3>

Step-by-step explanation:

Given that  x = a + bi and y = c + di and z = f + gi

<h3>To check which statements are true :</h3><h3>i)x+y=y+x</h3><h3>Taking LHS x+y</h3>

Substitute the values of x and y we get

x+y=a+bi+c+di

<h3>x+y=(a+c)+(b+d)i=LHS</h3><h3>Taking RHS y+x</h3>

Substitute the values of x and y we get

  • y+x=c+di+a+bi
  • y+x=(c+a)+(d+b)i
  • y+x=(a+c)+(b+d)i=RHS
  • Therefore LHS=RHS
<h3>Therefore x+y=y+x statement is true </h3><h3>iv) (x+y)+z=x+(y+z)</h3><h3>Taking LHS (x+y)+z</h3>

Substitute the values of x ,y and z we get

(x+y)+z=(a+bi+c+di)+(f+gi)

<h3>(x+y)+z=(a+c+f)+(b+d+g)i=LHS</h3><h3>Taking RHS x+(y+z)</h3>

Substitute the values of x ,y and z we get

x+(y+z)=(a+bi)+(c+di+f+gi)

<h3>x+(y+z)=(a+c+f)+(b+d+g)i=RHS</h3>

Therefore LHS=RHS

<h3>Therefore  statement (x+y)+z=x+(y+z) is true</h3><h3>v) (x-y)-z = x-(y-z)</h3><h3>Taking LHS (x-y)-z</h3>

Substitute the values of x ,y and z we get

(x-y)-z=(a+bi-(c+di))-(f+gi)

=a+bi-c-di-f-gi

<h3>(x-y)-z=(a-c-f)+(b-d-g)i=LHS</h3><h3>Taking RHS x+(y+z)</h3>

Substitute the values of x ,y and z we get

x-(y-z)=(a+bi)-((c+di)-(f+gi))

x-(y-z)=a+bi-c-di-f-gi=RHS

Therefore LHS=RHS

<h3>Therefore  statement (x-y)-z=x-(y-z) is true</h3><h3>Therefore the statements i) ,iv) and v) are true </h3><h3 />
4 0
3 years ago
Read 2 more answers
Chiara has 26 coins that equal 34 cents. All the coins are pennies, p, and nickels, n. How many nickels and pennies does Chiara
wlad13 [49]

Answer:

Chiara has 2 penny coins and 24 nickel coins

Step-by-step explanation:

Let

p ----> the number of penny coins

n ---> the number of nickel coins

Remember that

1\ penny=\$0.01

1\ nickel=\$0.05

Chiara has 26 coins that equal 34 cents

so

p+n=26

isolate the variable x

p=26-n ----> equation A

34 cents=$0.34

0.01p+0.05n=0.34

Multiply by 100 both sides

p+5n=34

isolate the variable x

p=34-5n -----> equation B

Create a table  to guess

assume  different values of n and determine the value of p in equation A and equation B

The solution is when the value of p in the equation A must be equal to the value of p in equation B

1) For n=1

equation A

p=26-1=25

equation B

p=34-5(1)=29

29\neq 25

2) For n=2

equation A

p=26-2=24

equation B

p=34-5(2)=24\\24=24

therefore

The solution is (2,24)

Chiara has 2 penny coins and 24 nickel coins

3 0
3 years ago
Read 2 more answers
Which equation represents a line that passes through (4, ⅓) and has a slope of ¾?<br>​
Serjik [45]

Answer:

32/3

Step-by-step explanation:

First you need to understand the slope-intercept form

y = mx +b

m = the slope of the line

b = the y-axis intercept

y and x represent the coordinates of a point on the line

So for the equation that you listed we know that the slope, m , is (3/4).  We also know a given point on the line.  therefore we also have a y value (1/3) and a x value (4).

So plug in the numbers:

(1/3)=(3/4)*4 + b

So to find the equation of this line we must solve for b

Multiply (3/4) and 4 to get 3

(1/3) = 3 + b

Now subtract 3 from both sides in order to isolate b

-2 2/3 = b or -8/3 = b

Now rewrite the equation with the y-intercept, b.

y = (3/4)x - (8/3)

From the wording I am assuming you are given a list of equations to chose from.  It is possible that the some of all of the equations are listed in standard form.  In that case, we need to find the equation:

Ax + By = C

To do that we simply take the slope intercept equation and manipulate it algebraically  

y = (3/4)x - (8/3)  First subtract (3/4)x from both sides

-(3/4)x + y = -(8/3)  This is technically standard form but we can clean it up a bit by multiplying both sides of the                                          equation by -4.

So -4 * -(3/4)x = 3x

    -4 *y = -4y

   -4 *-(8/3) = 32/3

So 3x - 4y = 32/3

I hope this helps

5 0
3 years ago
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