The length and breadth of a rectangle are in the ratio 3 : 1. If the breadth is 7 cm, then the length of the rectangle is

Answer:

Step-by-step explanation:

Changing to slope-intercept form:

5x + 2y = 12         {subtract 5x from both sides}

2y = -5x + 12         {divide both sides by 2}

y = -⁵/₂ x + 6

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y =-⁵/₂ x + 1    ⇒     m₁ =  -⁵/₂

-⁵/₂× m₂ = -1      ⇒   m₂ = ²/₅

So, any line perpendicular to 5x + 2y = 12 must have slope m =²/₅

Answer:

55 degrees :)

Step-by-step explanation:

all triangles add up to 180 degrees.

we already have 70 degrees and since <S = <R they are the same # of degrees.

subtract 70 from 180 and we get 110.

divide 110 by 2=55

<S 55

<R 55

<Q 70

Answer:

62

Step-by-step explanation:

Answer:

JK=8

Step-by-step explanation:

the sides are equal so set KL equal to LM

b+5=3b-1

b=6=3b

6=2b

b=3

b+5

3+5

8

Using the property of the sides of a rhombus, the missing length is determined as: B. JK = 8.

Thus:

KL = ML

Substitute

b + 5 = 3b - 1

b - 3b = -5 - 1

-2b = -6

b = 3

Find JK

JK = KL = b + 5

JK = b + 5

JK = 3 + 5

JK = 8

Therefore, using the property of the sides of a rhombus, the missing length is determined as: B. JK = 8.

Learn more about rhombus on:

https://brainly.com/question/3050890

Answer:

It is 7/24

Step-by-step explanation:

So first you want a common denominator so we have to find the least common multiple of 3 and 8, which is 24.

Next you have to multiply the same to the numerator, I usually go by the phrase whatever you do to the bottom you do to the top. So 8 times 2 is 16 and 3 times 3 is nine.

Everything changed should be 16/24-9/24

then we do 16-9 is 7 and you never subtract the denominators so 2/3-3/8 is 7/24

Answer:

$18.375 or rounded = $18.38  (brainliest if correct)

Step-by-step explanation:

25.00- 7.5 = $17.5

5% of 17.5 = 0.875

17.5 +0.875 = 18.375

Answer:

option 2

Step-by-step explanation:

Answer: Option 2

Step-by-step explanation:

Option 2 features 2 columns and 5 rows, which is representative of the question 0.2 x 0.5. The other options do not model the correct values expressed in the question.

9514 1404 393

Answer:

  470.16 cm²

Step-by-step explanation:

The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.

The apothem of the base for side length s is ...

  s/2 = a·tan(π/8)

  a = s/(2·tan(π/8)) ≈ 7.24 cm

The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...

  x² = 10² + a² = 100 +52.46

  x ≈ √152.46 ≈ 12.35

__

The area of the 8 triangular faces will be ...

  A = 1/2Px . . . . where P is the perimeter of the pyramid

The area of the base will be ...

  A = 1/2Pa

So, the total surface area is ...

  A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²

The answer is 470.16 cm²

Answer:528

Step-by-step explanation:

This one is just like the other one but different numbers. if you add 88 and 88 you get 176 so that means 88 blooms each week soooooo if you multiply 88 x 6 you would get 528

Answer:

number b

Step-by-step explanation:

thuy should have written the ratio as 30/39

Answer:

Ms. Gregg could buy 4 apples and 6 bananas

Step-by-step explanation:

You can split the money and try to get even on each fruit by, getting 4 apples which would be 8 dollars on 4 apples then the extra money would be left over for the bananas which would be six dollars and since the bananas are only 1 dollar you can buy 6 with the leftover money.

Answer:

there is a website where you can make triangles and that would get it 4 u

Step-by-step explanation:

Answer:

20 of the computers are Mac

Step-by-step explanation:

if 1 pc = 5 Mac

4 pc = 20 mac

add 4 + 20 you get 24 which is the total number of computers

Answer:

-4

Step-by-step explanation:

-4^3 = -64

Answer:

Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:

[tex]y = \frac{1}{3}x+1[/tex]

Step-by-step explanation:

Given equation of line is:

[tex]y = \frac{1}{3}x-3[/tex]

Slope-intercept form of a line is given by:

[tex]y = mx+b[/tex]

Comparing the given equation of line with general form we get

m = 1/3

Let m1 be the slope of line parallel to given line

Then the equation of line will be:

[tex]y = m_1x+b[/tex]

We know, "Slopes of two parallel lines are equal"

Which means

[tex]m_1 = m\\m_1 = \frac{1}{3}[/tex]

Putting the value of slope

[tex]y = \frac{1}{3}x+b[/tex]

Putting the point (3,2) in the equation

[tex]2 = \frac{1}{3}(3)+b\\2 = 1+b\\b = 2-1\\b = 1[/tex]

Final equation of line is:

[tex]y = \frac{1}{3}x+1[/tex]

Hence,

Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:

[tex]y = \frac{1}{3}x+1[/tex]

Answer:

1.

x1=1

x2=3

y1=5

y2=1

midpoint= (x1+x2/2, y1+y2/2)=(1+3/2,5+1/2)=(2,3)

2.

x1=2

x2=4

y1=4

y2=6

midpoint= (x1+x2/2, y1+y2/2)=(2+4/2,4+6/2)=(3,5)

3.

x1= -2

x2=4

y1=4

y2= -6

midpoint= (x1+x2/2, y1+y2/2)=(-2+4/2,4-6/2)=(1,-1)

4.

x1=0

x2=0

y1=3

y2=5

midpoint= (x1+x2/2, y1+y2/2)=(0/2,3+5/2)=(0,4)

5.

x1= -2

x2=2

y1= -6

y2=6

midpoint= (x1+x2/2, y1+y2/2)=(-2+2/2,-6+6/2)=(0,0)

6.

x1=1

x2=4

y1=4

y2=5

midpoint= (x1+x2/2, y1+y2/2)=(1+4/2,4+5/2)=(5/2,9/2)

7.

x1=-3

x2=-4

y1=5

y2=5

midpoint= (x1+x2/2, y1+y2/2)=(-3-4/2,5+5/2)=(-7/2,5)

8.

x1=5

x2= -4

y1=2

y2=6

midpoint= (x1+x2/2, y1+y2/2)=(5-4/2,2+6/2)=(1/2,4)

Answer:

2 text wen u here

Step-by-step explanation:

Answer:

y = -3x + 4

Step-by-step explanation:

Find slope:

(-2 - 4)/(2 - 0)

-6/2 = -3

y = -3x + b

Plug in a point for x and y:

4 = -3(0) + b

b = 4

y = -3x + 4

Answer:

Step-by-step explanation:

Let the amount be P

Compound interest:

Simple interest:

Alice should choose compound interest, Option A

Answer:

I think it would be something like 5x - 3 =

Answer:8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

8+8=16

16-8=8

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Answer:

It would be no

Answer:

-40

Step-by-step explanation:

-7 x 7 + 9 x (-1) / (-1)

-49 + 9 x (-1) / (-1)

-49 - 9 / (-1)

-49 + 9

= -40

Answer:

Step-by-step explanation:

a = 1935 / 5 is the change

b = 1960 / 10 is the change

c = 1950 / 20 is the change

They are all increasing i'd assume they all went threw a positive change

Answer:

I personally think the third one

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

27/3=9. 9x3=27

Answer:

C. Mario should have multiplied the x-values by $6.50 to get the y values.

Step-by-step explanation:

Let's do it the way they said. If we were to multiply 1 by 65, it would be $65. If we did the same thing for 2, 2 x 65 is $130. This is incorrect because these values do not match up with the ones on the graph.

Decimal points are important in this case because it completely changes your answer. When you multiply 1 by 6.50, you get 6.50. Which is what's on the graph. Multiply 2 by 6.50 and you'll get $13, and so on.

So now we can conclude that the mistake Mario made was that he multiplied x by the wrong value (65), when it should have been $6.50.

Note: Hope this helps! Good luck on your test. :)

Answer:

the answer would be 10

Step-by-step explanation:

:)))