Please help The diagram below shows a square prism. The plane ABC is inside the
prism, and M is the midpoint of the base diagonal BC. MD. = square root 18
b Hence find, correct to the nearest degree, the angle that the plane ABC
makes with the base of the prism. Diagram is attached below.

Answer:

A. x= 2

B. x= 8

Step-by-step explanation:

Solving an equation refers to finding the value of the variable in the equation.

A. 17x +12= 54 -4x

Bring all x terms to one side, constant to the other:

17x +4x= 54 -12

21x= 42

x= 42 ÷21

x= 2

B. 5x -10 +2x= 6(x +1) -x

7x -10= 6x +6 -x

7x -10= 5x +6

Bring all x terms to one side, constant to the other:

7x -5x= 10 +6

2x= 16

Divide both sides by 2:

x= 16 ÷2

x= 8

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided with two equations that are 17x + 12 = 54 - 4x and 5x - 10 + 2x = 6(x + 1) - x . And we are asked to solve the equation that means we have to find the value of x for both the equations .

Solution : -

[tex] \longmapsto \qquad \: 17x + 12 = 54 - 4x[/tex]

Step 1 : Subtracting 12 on both sides :

[tex] \longmapsto \qquad \: 17x + \cancel{ 12} - \cancel{12} = \bold{54} - 4x - \bold{ 12}[/tex]

Simplifying it ,

[tex] \longmapsto \qquad \: 17x = 42 - 4x[/tex]

Step 2 : Adding 4x on both sides :

[tex] \longmapsto \qquad \: 17x + 4x = 42 - \cancel{4x} + \cancel{4x}[/tex]

On further calculations, we get :

[tex] \longmapsto \qquad \: 21x = 42[/tex]

Step 3 : Dividing with 21 on both sides :

[tex] \longmapsto \qquad \: \dfrac{ \cancel{21}x}{ \cancel{21} } = \cancel{ \dfrac{42}{21} }[/tex]

We get :

[tex] \longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = 2}}}} \quad \bigstar[/tex]

Verifying : -

Now , we are verifying our answer by substituting value of x as 2 in the given equation . So ,

Therefore , our solution is correct .

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

[tex] \longmapsto \qquad \: 5x - 10 + 2x = 6(x + 1) - x[/tex]

Step 1 : Adding like terms on left side :

[tex] \longmapsto \qquad \: 7x - 10 = 6(x + 1) - x[/tex]

Step 2 : Solving parenthesis on right side by using distributive property . ( Multiplying 6 with x and 1 both ) :

[tex] \longmapsto \qquad \: 7x - 10 = \bold{6x} + 6 - \bold{x}[/tex]

Step 3 : Solving like terms on right side :

[tex] \longmapsto \qquad \: 7x - 10 = 5x + 6[/tex]

Step 4 : Adding 10 on both sides :

[tex] \longmapsto \qquad \: 7x - \cancel{10} + \cancel{ 10} = 5x + 6 + 10[/tex]

Simplifying it ,

[tex] \longmapsto \qquad \: 7x = 5x + 16[/tex]

Step 5 : Subtracting 5x on both sides :

[tex] \longmapsto \qquad \: 7x - 5x = \cancel{5x }+ 16 - \cancel{5x}[/tex]

On further calculations , we get :

[tex] \longmapsto \qquad \: 2x = 16[/tex]

Step 6 : Dividing with 2 on both sides :

[tex] \longmapsto \qquad \: \dfrac{ \cancel{2}x}{ \cancel{2}} = \cancel{\dfrac{16}{2} }[/tex]

We get :

[tex] \longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = 8}}} } \quad \bigstar[/tex]

Verifying : -

Now , we are verifying our answer by substituting value of x as 8 in the given equation . So ,

Therefore , our solution is correct.

Answer:

251.3

Step-by-step explanation:

A=2πrh+2πr2=2·π·4·6+2·π·42≈251.32741

Answer:

Step-by-step explanation:

Formula

Total number of cookies = number servings * number of cookies in serving

Givens

Number of servings = 16

Number of cookies in each serving=4

Total Mass = 0.5 kg

Solution

Total number of cookies = 16*4

Total number of cookies = 64

Total mass of box = # cookies * mass of 1 cookie

Total Mass of box = 0.5

# cookies = 64

0.5 kg = 64 * mass 1 cookie           Divide by 64

0.5 / 64 = 64*mass 1 cookie/64     Compute

Answer: mass 1 cookie = 0.0078 kg

This question has 2 problems. I think this is the answer you should type in, but it is a mass, not a weight. Since the cookie is using weight for mass, and uses the units of mass, you have to do the same thing.

The units of the answer is not specified. Since the total mass is given in kg, then the units you use must be the same. However grams would be much more sensible. The answer would then be 7.8 grams.

Answer:

1,1. 4,4. 5,5 and. 6,6

Step-by-step explanation:

Because they are all the same numbers :)

Answer: 28 cm.

Step-by-step explanation: To find the area of trapezoids, you need to add base 1 and base 2, multiply the height, and divide it all by 2.  The work is done below:

b1 + b2 x h / 2, where b1 and b2 are the bases and h is the height.

5 + 9 x 4 / 2 = ?

Step 1 (Add): 5 + 9 = 14.

Step 2 (Multiply):  14 x 4 = 56.

Step 3 (Divide): 56 / 2 = 28.

Therefore, 28 cm is your answer.

Hope this helps! :)

Yes they would be perpendicular.

1. Pounds

2. Tons

3. Ounces

You guys have a good day :)

Answer:

1.pounds

2.tons

3.ounces

Step-by-step explanation:

just got it right on edge

Answer:

KI = 4.47

IT = 6.32

Step-by-step explanation:

KI

2²+4² = 4+16 = 20

The square root of 20 is 4.47

IT

2²+6² = 4 + 36 = 40

The square root of 40 is 6.32

ayo

968ml + 784ml = 1752ml or 1.752Liter

The average amount of time it takes a professional football player to run a mile is = 18.96 seconds

The total number of players that made up the sample data = 20

The average time for the whole players was = 6.32minutes.

If 20 players = 6.32 mins

∴ 1 player = ?

Make the unknown the subject of formula,

? =  1 × 6.32/20

? = 6.32/20

? = 0.316 mins

To converted to seconds multiply by 60,

Therefore, 0.316 × 60 = 18.96 seconds.

Learn more about time conversion here:

https://brainly.com/question/11947673

Answer:

10 nickels

9 dimes

5 quarters

Step-by-step explanation:

Answer:

10 nickels, 9 dimes, 15 pennies, 5 quarters

Step-by-step explanation:

I'm a little confused by the question, but, I'll assume that each one is separated by a space.

4 quarters + 5 dims = 1.50. So, there would be 10 nickels.

10 pennies + 3 quarters + 5 nickels = 10+75+25=110. So, 9 dimes

2 quarters + 12 dimes + 3 nickels= 50 + 120 + 15 = 15. So, 15 pennies

4 dimes + 6 nickels + 5 pennies = 40+30+5=75. So, 5 quarters

Answer:

226.224 cm^3

Step-by-step explanation:

Formula :

[tex]\pi r ^{2} h[/tex]

Pi = 3.142

[tex]\pi \times 3 ^{2} \times 8[/tex]

[tex] = 226.224cm ^{3} [/tex]

Answer:

  (d)  Three pizzas are shared equally among zero people, and you want to know how much each person gets.

Step-by-step explanation:

You want to know which pizza sharing problem has no solution for the amount each person gets:

The amount of pizza each person gets is found by dividing the number of pizzas by the number of people:

The problem of dividing 3 pizzas among 0 people has no solution.

<95141404393>

Answer:

C. 400

Step-by-step explanation:

The number 14752 is  "Fourteen thousand, seven hundred and fifty two"

The 1 is the place of ten thousands ⇒ 10,000

The 4 is the place of thousands ⇒ 4,000

The 7 is the place of hundreds ⇒ 700

The 5 is the place of tens ⇒ 50

The 2 is the place of units  ⇒ 2

So we need to find how many groups of tens are in 4000.

To do this, divide 4000 by 10.

To divide anything by 10, simply move the decimal point one place to the left.

Therefore, there are 400 groups of ten in 4000

as 400 × 10 = 4000

The four angles of a quadrilateral are  30°, 60°, 150°, and 120°  if the four vertices of an inscribed quadrilateral divide a circle in the ratio 1:2:5:4.

It is defined as the four-sided polygon in geometry having four edges and four corners.

We have the four vertices of an inscribed quadrilateral divide a circle in the ratio:

1:2:5:4

Let the sides of the quadrilateral be x, 2x, 5x, 4x.

We know the sum of all angles of quadrilateral = 360°

x+2x+5x+4x=360

12x = 360

First angle, x = 30°

Seconds angle, 2x = 2×30 ⇒ 60°

Third angle, 5x = 5×30 ⇒ 150°

Fourth angle, 4x = 4×30 ⇒ 120°

Thus, the four angles of a quadrilateral are  30°, 60°, 150°, and 120°

Learn more about the quadrilateral here:

brainly.com/question/6321910

The four angles of a quadrilateral are  30°, 60°, 150°, and 120°

Step-by-step explanation:

Answer: Those coins are 5 pennies

Step-by-step explanation:

Answer:

y=0.5x-6

Step-by-step explanation:

check out the attached photo

Answer:

y=0.5x-6

Step-by-step explanation:

Answer:

none of those answers are correct unless u mean 5 and 3/4

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

The triangle ABC is a right triangle as BCD is a tangent.

So m < y = 90 - 30 = 60 degrees

The angle at the centre O = 2*30 = 60 degrees  (angle subtended at centre theorem)
m < x =  180 - 90 - 60 = 30 degrees

Step-by-step explanation:

y = 60

x= 30

these are the answer s

Answer:

(1, 100) » First one

(3, 49) » Third one

(4, 50) » Forth one

(2, 74) » Second one

Step-by-step explanation:

[tex]{}[/tex]

Answer:

sqrt (120)

Step-by-step explanation:

Use pythag theorem

Leg1 ^2 + Leg2^2 = Hypot ^2

 13^2    + Leg2^2  =  17^2

    Leg2^2  =  17^2  -  13^2

    Leg2  =  sqrt (120)

Answer:

b

Step-by-step explanation:

a x (b + c) = (a x b) + (a x c)

Answer:

B is the answer...

2(5+6)

(2×5)+(2×6)

The questions are illustrations of combination and probability

The given parameters are:

Monitors = 4

Keyboard = 2

CPU = 4

Printer = 3

The number of systems to choose from is:

n = 4 * 2 * 4 * 3 = 96

Hence, Patrick can choose from 96 systems

The given parameters are:

Containers = 2

Flavors = 4

The number of total combination to choose from is:

n = 2 * 4C3 = 8

Hence, the number of total combination is 8

The given parameters are:

Blouse = 5

Skirt = 3

Shoes = 4 pairc

The number of ways to dress up:

n = 5 * 3 * 4 = 60

Hence, Emma can dress up in 60 ways

The given parameters are:

Students = 6

Members of committee = 3

The number of ways to form a committee is:

n = 6C3 = 20

Hence, there are 20 ways to form the committee

We have:

Letters = 11

Consonnats = 7

The probability of selecting a consonant is:

P = 7/11

P = 0.636

Hence, the probability of selecting a consonant is: 0.636

We have:

Total students = 34

Students not in grade 8 = 25

The probability that a student is not in grade 8 is:

P = 25/34

P = 0.735

Hence, the probability that a student is not in grade 8 is 0.735

Not enough details to solve

There are 9 prime numbers in a total number of 31 numbers from 4 to 34.

So, the probability that a number is prime is:

P = 9/31

P = 0.290

Hence, the probability that a number is prime is 0.290

Read more about combination and probability at:

https://brainly.com/question/24756209

https://brainly.com/question/11732255

Answer:

x+15=180(being co-interior angle)

x=180-15

x=165

Step-by-step explanation:

the area is

baseline × height.

remember, 2 lengths are multiplied.

since both figures are similar to each other, it means that both lengths are changed by the same scaling factor.

18 × f = 63

f = 63/18 = 7/2

this factor f applies (as mentioned) to the baseline AND to the height.

therefore, the area changes by f×f = f² = 49/4.

that means the area of the larger figure is

216 × 49/4 = 54 × 49 = 2,646 yd²

Step-by-step explanation:

f(x) = 3x2+2x-3

g(x) = -x+4

(g.f)(x) = g[3x2+2x-3]

           = -(3x2+2x-3)+4

           = -3x2-2x+3

(g.f)(1) = -3(1)2-2(1)+3

           = -3-2+3

           = -2            

$ 40

the new price she's selling her MP3 player.

3/4 of 40 or (3/4)*40

= $30.

so, she is selling her MP3 player for $30.

Answer:

140

Step-by-step explanation:

5 percent is 5% or 5 out of 100

5 / 100 = 7 / x

Cross multiply to get

5x = 700

Divide both sides by 5

x = 140