Don's favorite cheese snack come in a box of 6 pieces. Each piece is in the shape of a triangular prism that is 4 cm tall. The triangular base has an area of 20 cm. Find the volume of all of the cheese in the box in cubic centimeters.

Don's favorite cheese snack come in a box of 6 pieces. Each piece is in the shape of a triangular prism that is 4 cm tall. The triangular base has an area of 20 cm. Find the volume of all of the cheese in the box in cubic centimeters.

The measure of the angle x is 32 degree after applying the sin law of triangle.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle given in the diagram.

To find the measure of the angle x we must apply the sin law of triangle.

[tex]\rm \dfrac{17}{sin116} = \dfrac{10}{sinx}[/tex]

Sinx = 10(sin116)/17

Sinx = 0.528

x = 31.91 ≈ 32 degree

Thus, the measure of the angle x is 32 degree after applying the sin law of triangle.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

Answer:

a) The probability that Tommy takes a yellow counter is 0.20.

b) The probability that Tommy takes a blue counter is 0.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

There are 5 red counters, 2 yellow counters and 3 green counters in a jar. Tommy takes a counter at random from the jar.

a) What is the probability that he takes a yellow counter?

b) What is the probability that he takes a blue counter?

The explanation of the answers are now given as follows:

a) What is the probability that he takes a yellow counter?

This can be calculated as follows:

Total number of counters in the jar = Number of red counter in the jar + Number of yellow counter in the jar + Number of green counter in the jar = 5 + 2 + 3 = 10

Probability of taking a yellow counter = Number of yellow counter in the jar / Total number of counters in the jar = 2 / 10 = 0.20

Therefore, the probability that Tommy takes a yellow counter is 0.20.

b) What is the probability that he takes a blue counter?

This can be calculated as follows:

Number of blue counter in the jar = 0

Probability of taking a blue counter = Number of blue counter in the jar / Total number of counters in the jar = 0 / 10 = 0

Since there no blue counter in the jar, the probability that Tommy takes a blue counter is therefore 0.

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Modulus functions.

Since here, the value of h and k are zero,hence

the value of the function f(x) = 3|x| is 3

====> answer is 3

9514 1404 393

Answer:

  = 1/279,936 ≈ 3.5722·10^-6

Step-by-step explanation:

You can ask your calculator to give you the answer. It may display something like ...

  g(-1.75) = 3.57224508459·10^-6

You know the negative exponent means this is the reciprocal of ...

  1296^1.75 = 279,936

So, you can also write the answer as ...

  g(-1.75) = 1/279936

__

Since the value of x is given as a decimal, it is appropriate to give the answer as a decimal.

Answer:

[tex]\boxed {\boxed {\sf (5g^2+2)(2g-5)}}[/tex]

Step-by-step explanation:

We are given the expression:

[tex]10g^3-25g^2+4g-10[/tex]

There are no common factors between the four numbers, however the first two have a common factor and the last two do too. Therefore, we can factor by grouping.

Group the first two terms and the last two.

[tex](10g^3-25g^2)+(4g-10)[/tex]

Find the greatest common factor (GCF) of the first group. It is 5g². Factor it out of the first group. You can do this by dividing both terms by the GCF.

[tex]5g^2 (2g-5) + (4g-10)[/tex]

Repeat with the second group. The GCF is 2.

[tex]5g^2 (2g-5) + 2(2g-5)[/tex]

There is another GCF: 2g-5. We can factor this out of both terms.

[tex](5g^2+2)(2g-5)[/tex]

This cannot be factored further, so it is the answer.

Step-by-step explanation:

Since -3a can be said to have a power of 1, we add the powers together and multiply the coefficients

-9a³

Answer:

b.40

Step-by-step explanation:

[tex] \frac{6}{30} = \frac{x}{200} [/tex]

30 * x = 6 * 200

30x = 1200

[tex]x = \frac{1200}{30} = 40[/tex]

40 people are expected

Answer:

steps below

Step-by-step explanation:

Step 1: Cot A / (1+cot A) * Cot B / (1+cot B )

= (Cot A  * Cot B) / ((1+cot A) *(1+cot B ))

= (Cot A  * Cot B) / (1+cot A+cot B+cot A cot B)

= (Cot A  * Cot B) / ((1+cot A+cot B)+ (cot A cot B))     : a

Step 2: (cot A * cot B -1) / (cot A + cot B) = cot (A+B) = cot 225° = 1  (formula)

            cot A * cot B -1 = cot A + cot B

            cot A * cot B  = 1 + cot A + cot B       (substitute a)

Step 3:

Cot A / (1+cot A) * Cot B / (1+cot B )

= (Cot A  * Cot B) / ((cot A * cot B)+ (cot A * cot B))

= (Cot A  * Cot B) / (2 * (cot A * cot B))

= 1 / 2

= 0.5

Answer:

37.79

Step-by-step explanation:

You need to add all of them together. 1.19+12.2+16+8.4=37.79 kilometers

Answer:

change the expression to y

Step-by-step explanation:

[tex]x + 3y = 9[/tex]

[tex]3y = - x + 9[/tex]

[tex]y = \frac{ - 1}{3} x + \frac{9}{3} [/tex]

the gradient is the coefficient of x,

[tex] - \frac{1}{3} [/tex]

Answer:

x+5≥13

Step-by-step explanation:

Answer:

I know the answer but I will not tell. My parents restrict me from telling answers or I will lose tablet time.

Step-by-step explanation:

Robux

Answer:

x= -3

y = 13/11

whole thing solved:

(-3, 13/11)

x=-3,y=-13/11

Answer: 30

Step-by-step explanation:

Answer:

the answer is 650

Step-by-step explanation:

use the formula, a^2 + b^2 = c^2

so 25^2 = 625

and 5^2 = 25

added, 650.

Answer:

temp after 7 minutes is 135°

temp after 't' minutes:  y = 65 + 10t

Step-by-step explanation:

Answer:

1) 135°

2) 65° + 10t°

Step-by-step explanation:

What is the temperature of the oven 7 minutes after being turned on?

65° (initial temperature) + 10° (temperature increase per minute) × 7 (amount of minutes)

10 × 7 = 70

65° + 70° = 135°

What is the temperature of the oven t minutes after being turned on?

65° (initial temperature) + 10° (temperature increase per minute) × t (amount of minutes)

10 × t = 10t

65° + 10t°

[tex] - \frac{3}{7} = 0.428571[/tex]

Answer:

- 2/5

Step-by-step explanation:

03/7 =-0.428571429

round to the nearest tenth

-0.4 = - 4/10

convert to simplest form

- 4/10 = - 2/5

Hope this helps

Answer:

To convert degrees to radians, multiply by π180° π 180 ° , since a full circle is 360° 360 ° or 2π 2 π radians. 225°⋅π180° 225 ° ⋅ π 180 ° radians.

Step-by-step explanation:

Answer:

false have a god day!

Step-by-step explanation:

Answer:

-9/4x  -1/2

Step-by-step explanation:

hope this helps!

Answer:

V = 628

Step-by-step explanation:

Formula to find volume(V) of cone:

[tex]v = \frac{1}{3} \pi {r}^{2} h[/tex]

Answer:

See: https://brainly.in/question/12682555

Step-by-step explanation:

The link provided will take you to a differently worded explanation from another user.

You may see the "slant" referred to as a "hypoteneuse", as the shape created by the line of height(or altitude) is a right triangle. Given the base of the triangle and the "slant" or "hypoteneuse", format the equation (a²+b²=c²)-where a represents the height(altitude), b represents the base, and c represents the slant(hypoteneuse)- to fit your needs:

c²-b²=a². From this point, find the square root(√) of a. If it cannot be simplified further, then (√a) is your solution.

Answer:

6 ways

Step-by-step explanation:

The number of ways he can display the stamps as follows:

Here we find the factors of 32

i.e.

= 1 × 32 represent 1 row, 32 stamps each

= 2 × 16 represent 2 rows, 16 stamps each.

= 4 × 8 represent 4 rows, 8 stamps each.

= 8 × 4 represent 8 rows with 4 stamps each

= 16 × 2 represent 16 rows with 2 stamps each

= 32 × 1 represent 32 rows with 1 stamp each

So in 6 ways he can displayed  

Answer:

The answer is: b5y + 9 = 16

Answer:

5y + 9 = 16

Step-by-step explanation:

(5 x y) + 9 = 16

5y + 9 = 16

Answer:

54

Step-by-step explanation:

Answer:

6 0.0 But.. What type of question is this

Step-by-step explanation:

Answer:

2. 0 or B. 0

Step-by-step explanation:

First you need to find g(6) which is -2 now plug in -2 into the function f. So 6(-2)+12=0

Answer:

your answer will be 4x+6y+i

Step-by-step explanation:

hope it helps :)

Answer:

(-2x+4)+2(2x+1) = 2x+6

2(3x+5)-4(x-1) = 2x+6

2(x-7)+(8x+20) = 10x+6

They should be the answers if the simplified forms can be used twice.

Hope that helped!

Answer:

(-2x + 4) + 2(2x + 1)

2x+6

2(3x + 5) − 4(x − 1)

2x+14

2(x − 7) + (8x + 20)

10x+6

Step-by-step explanation:

Answer:

1 1/3

Step-by-step explanation:

x = 4/3 or 1 1/3