Ch Area and Volume

Kindly Help Me To Solve These..​

Answer:

The equation that represents the sentence is W + 6 + 5 = 2.

Step-by-step explanation:

Since it is required to propose an equation that reflects that five more than the quotient of a number and 6 is equal to 2, using the variable W for the unknown number, the following equation must be performed to determine what the unknown number is:

W + 6 + 5 = 2

W = 2 - 5 - 6

W = -9

Therefore, the unknown number is -9.

Answer:

[tex]-1.5x - 3.5y =- 31.5[/tex]

Step-by-step explanation:

Given

AB: [tex]-7x + 3y = -21.5[/tex]

[tex]PQ(x_1,y_1) = (7,6)[/tex]

Required

Determine the equation of PQ

First, we calculate the slope of AB:

[tex]-7x + 3y = -21.5[/tex]

Make 3y the subject

[tex]3y = 7x - 21.5[/tex]

Make y the subject

[tex]y = \frac{7}{3}x - \frac{21.5}{3}[/tex]

An equation has the general form:

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

Where m = slope

So:

[tex]m = \frac{7}{3}[/tex] -- Slope of AB

From the attached diagram, we can see that PQ is perpendicular to AB.

This means that, the relationship between their slope is:

[tex]m_2 = -\frac{1}{m_1}[/tex]

Substitute 7/3 for m1

[tex]m_2 = -\frac{1}{7/3}[/tex]

[tex]m_2 = -\frac{3}{7}[/tex]

The equation of PQ is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = m_2 = -\frac{3}{7}[/tex]

and

[tex]PQ(x_1,y_1) = (7,6)[/tex]

So, we have:

[tex]y - 6 = -\frac{3}{7}(x - 7)[/tex]

Multiply both sides by 7

[tex]7(y - 6) = -\frac{3}{7}(x - 7)*7[/tex]

[tex]7y - 42 = -3(x-7)[/tex]

Open bracket

[tex]7y - 42 = -3x + 21[/tex]

Collect Like Terms

[tex]3x + 7y = 42 + 21[/tex]

[tex]3x + 7y = 63[/tex]

Divide through by -1/2

[tex]-\frac{1}{2}(3x + 7y) = -\frac{1}{2}*63[/tex]

[tex]-1.5x - 3.5y =- 31.5[/tex]

The equation of PQ is: [tex]-1.5x - 3.5y =- 31.5[/tex]

Answer:

B. -1.5x − 3.5y = -31.5

Step-by-step explanation:

Got it right on the test. ; )

Answer:

QTR = 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

I assume that "side length" means the slant height of one of the triangular faces.

area of a triangular face = ½(base)(side length) = ½(7)(11.5) = 40.25 in

lateral area = all four triangles = 161 in²

base area = 7² = 49 in²

total surface area = lateral area + base area = 161+49 = 210 in²

The area of the pyramid is  1.4625 ft²

If the base of the pyramid is in the shape of a square (base with 4 sides), then it is called a square pyramid. As the square has 4 sides, then the square pyramid has the following properties: No. of Faces: (4+1) = 5 No.of Vertices: (4+1)= 5 No. of Edges: 2(4) = 8

Given here: The height is 11, the base is 7 in, and the side length is 11.5 inches of a pyramid.

The surface area of a square pyramid is the sum of the areas of its square base and four triangular faces:

SA = BA + (4 × FA)

     =[tex]a^2+a\sqrt{a^2+4h^2}[/tex]

Where a= base length and height = h

Thus inputting the values we get

SA= 7²+7[tex]\sqrt{7^2+4.11^2}[/tex]

   =49+7√533

    =210.60 in²

Thus in ft.² we have 1.4625 ft²

Learn more about the pyramid here:

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Answer: Andy is 35 and Mike is 21.

Step-by-step explanation:

Andy’s present age: Mike’s present age

= 5:3

Andy’s age in “if”: Mike’s age in “if”

=6:2

1 unit = 7

5 unit = 35 (Andy’s age)

3 unit = 21 (Mike’s age)

Answer:

3/4 i think

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

slope=(y_2-y_1)/(x_2-x_1)

slope=(6-3)/(7-3)

slope=(3)/(4)

slope=0.75

Answer:

a) Rule for reflection across y - axis:

b) Rule for reflection across  x - axis:

Step-by-step explanation:

14 mm³ because the radius is this

Answer:

rate: 8.33 dollars per month in interest. total value: $1000

Step-by-step explanation:

Answer:

rate is 8.30 and total value is 1000

Step-by-step explanation:

Answer:

Step-by-step explanation:

n = 101 × 103 = 10,403

sum of digits = 8

Answer:

Grams

Step-by-step explanation:

Meters is for measuring height

Litres are for measuring water

Answer:

$40

Step-by-step explanation:

520/13=40

Answer:

Step-by-step explanation:

[tex]\frac{\$ 520}{13hr}=\$40/hr[/tex]

Answer:

(2x+2y+7)(x+y+7)

Step-by-step explanation:

I suspect this is what you are expected to do.

Define z=x+y

2z^2+9z+7

2z^2+2z+7z+7

2z(z+1)+7(z+1)

(2z+7)(z+1)

(2x+2y+7)(x+y+7)

what do u need help with?

Step-by-step explanation:

I'm in confusion

¯\(°_o)/¯

Answer:

Step-by-step explanation:

D)

Hope that helps!

Answer:

equivalent

Step-by-step explanation:

i just know

Answer:

C) x = -2 ± [tex]\sqrt{7}[/tex]

Step-by-step explanation:

3x² + 12x - 9 = 0

divide through by 3

x² + 4x - 3 = 0

add 3 to each side

x² + 4x = 3

divide 4 in half and square it; add it to each side of equation

x² + 4x + 4 = 3 + 4

(x + 2)² = 7

x + 2 = [tex]\sqrt{7}[/tex]

x = -2 ± [tex]\sqrt{7}[/tex]

Answer:

5cm

Step-by-step explanation:

Given data

volume = 225π cm³

Height= 9cm

r= ???

Volume of cylinder

v=πr^2h

substitute

225π= π*r^2*9

225= r^2*9

r^2= 225/9

r^2= 25

r= √25

r= 5cm

Hence the radius is 5cm

Answer:

Step-by-step explanation:

Now e have two figures

1 is ABCD and other is APQD ,

Now to find g and f,

Now the are both figure is ,

Area = length * width

Area ABCD = 39 cm^2

AB* BC = 39

Again,

Area APQD = AP*QD= 16 cm ^2

from here f =16/g  putt it in above equation we get ,

(g+7)*16/g = 39

16*g-39*g+96 =0

-23g +96 = 0

g = 96/23

g =3 cm

Now for f putt in one of the above equation ,

f =16/3

f =5.33 cm

Answer:

f = 3cm g = 6cm

Step-by-step explanation: to find f

Subtract the area of APQD from ABCD then divide by 7

f = (39 - 18)/7

f = 21/7

f = 3

To find g, divide the area of APQD by 3

18/3 = 6

We can do this because of the givens: ABCD is a rectangle, PQ is parallel to AD, so BC=AD=PQ

Answer:

If 24 juice boxes=12$

Then one box=24÷12=2

One box is 2$

Step-by-step explanation:

:)

Answer:

(x + 3)² - 12

Step-by-step explanation:

x²+6x-3

=  x²+ 6x + 9 - 12

= (x + 3)² - 12

The form of x² - 6x + 3 can be written as (x-3)² - 6.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We are given that;

Equation= x² - 6x + 3

Now,

To write x² - 6x + 3 in the form (x-a)²+ b, we can use the method of completing the square. This involves adding and subtracting a constant term to make the expression a perfect square trinomial. Here are the steps:

Write x² - 6x + 3 as x² - 6x + ___ - ___ + 3, leaving two blanks for the constant term.

To find the constant term, divide the coefficient of x by 2 and square it. In this case, -6/2 = -3 and (-3)² = 9. So we fill in the blanks with 9 and get x² - 6x + 9 - 9 + 3.

Factor the first three terms as a perfect square: (x - 3)² - 9 + 3.

Simplify the last two terms: (x - 3)² - 6.

Compare with the form (x-a)²+ b and identify a and b. In this case, a = 3 and b = -6.

Therefore, by the given equation the answer will be (x-3)² - 6.

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Answer:

D. a + 2 = 5

Step-by-step explanation:

apples + 2 more = 5 total

Answer:

(4,0)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1/3S=9

multiply 3 on both sides

S=27

Answer:

52kg

Step-by-step explanation:

use cross multiplication method when encounter problems like these