Jack and Jill are 20m apart. Jack sees the top of the building at 30 degrees and Jill sees the top of the building at 40 degrees. What is the height of the building

Option: B is the correct answer.

B.   Step 1:  Divide $12 by 10 to find out the cost of 1 bottle.

Step 2 :  Multiply that cost by 6.

The cost of 10 bottles is: $ 12.

$ (12/10)=$ 1.2

( Since the cost of  1 bottle will be less and hence the total cost must be divided by the number of items in order to obtain the cost of 1 item)

Hence, cost of 6 bottles of juice is: $ (1.2×6)=$ 7.2

Hence, the correct answer is:

B.   Step 1:   Divide $12 by 10 to find out the cost of 1 bottle.

Step 2:   Multiply that cost by 6.

Answer:

its 150 degrees i think

Step-by-step explanation:

i could be wrong though but i'm like 80% sure im right

Answer:

Option 1 : twenty four more than twelve times a number

Step-by-step explanation:

Given : 12f+24

To Find : What does the expression 12f+24 represents?

Solution:

The given expression : 12f+24

Option 1 : twenty four more than twelve times a number

The given expression 12f+24

This expression means 24 more than twelve times f

f is any number

So, we can say twenty four more than twelve times a number .

Thus Option 1 is correct

Option 2 :twenty four more than twelve plus a number

Let f be a number

So, (12+f)+24 is the obttained expression from option 2

Option 3 :twelve times the difference of number and twenty four.

Let f be a number

So, 12(24-f) is the obttained expression from option 3

Option 4 : twelve times the sum of a number plus twenty four

Let f be a number

So, 12(24+f) is the obttained expression from option 4

Thus option 1 represent the given expression 12f+24

Answer:

length is 18 and width is 10

The first step to solve this problem is to compute for the total minutes allowable in his cell phone plan. To compute for this, you have to divide the number of minutes consumed by the fraction of the time consumed.

200 minutes / 33 1/3% = 600 minutes

To compute for the remaining minutes left for this month, you have to deduct the consumed minutes to the total allowable minutes in his plan.

600 minutes – 200 minutes = 400 minutes left

The y intercept in the equation y=75x+50 shows that he was given $50 for his birthday which is option D.

Equation is like a relationship between two variables in equal to form which is simplified in order to get the value of both variables.

The given equation is y=75x+50 where y is the amount of money in the account and x is the number of deposits. Put the value of x=0 and we get y=50 means when deposit is 0 means no deposits then the amount of money in account is equal to 50 which concludes that Mario was given 50 on his birthday.

Hence y intercept in the equation y=75x+50 shows that he was given $50 for his birthday.

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Nancy can sell the wooden ramp for $486 based on the surface area.

The area of Rectangle is length times of width.

The area of each rectangular face is length times width, so the top and bottom faces have an area of:

2 x (8 feet x 3 feet) = 48 square feet

The side faces also have an area of:

2 x (8 feet x 6 feet) = 96 square feet

The area of each triangular face is one-half the product of the base and the height, so the front and back faces have an area of:

2 x (0.5 x 3 feet x 6 feet) = 18 square feet

The total surface area of the ramp is the sum of the areas of all the faces:

48 + 96 + 18 = 162 square feet

If each square foot of wood of the ramp is sold for $3, then the ramp would sell for:

162 square feet x $3/square foot = $486

Therefore, Nancy can sell the wooden ramp for $486 based on the surface area.

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Answer:

First Answer - C

Second Answer B

Step-by-step explanation:

Given that the volume of a rectangular box is a product of its length, breadth, and height, we define our problem using the given volume of 108 cubic inches and the formula for the surface area of an open box. To find the dimensions that will use minimal material requires the application of calculus and optimization techniques.

In this problem, we know that the volume of the open rectangular box is 108 cubic inches. The volume of a rectangular box can be calculated with the formula V = xyz where x, y, and z are the length, width, and height. If we let the dimensions of the box be x, y, and z inches respectively, it means that the volume V = 108 = x*y*z.

The amount of material used or the surface area S of an open box (a rectangular box without a top) is given by the formula S = xy + 2xz + 2yz. Here, our task is to minimize this surface area.

To minimize the surface area, we need to employ calculus, specifically the concept of optimal control. However to apply calculus, we need to express S in terms of one variable. We can get this by expressing y in terms of x and z using the volume formula. This leads to a complex optimization problem that involves calculus.

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Answer: [tex]\frac{7}{20}[/tex]

Step-by-step explanation:

From the given table, The number of times arrow comes results in section 1= 28

The total number of times spinner spins =80

Now, the experimental probability of the arrow stopping over Section 1 is given by:-

[tex]\text{P(Section 1)}=\frac{28}{80}=\frac{7}{20}[/tex]

Hence, the  experimental probability of the arrow stopping over Section 1 is [tex]\frac{7}{20}[/tex]

Answer:

The value of the expression is 504.

Step-by-step explanation:

We are given the expression [tex]9P3[/tex].

Now, [tex]9P3[/tex] represents the permutations of 9 objects which are taken 3 at a time.

Also, its value is given by,

[tex]9P3=\dfrac{9!}{(9-3)!}\\\\9P3=\dfrac{9!}{6!}[/tex],

where ! represents the factorial given by,

[tex]n!=n(n-1)(n-2)...3.2.1[/tex]

Thus, evaluating the expression, we get,

[tex]9P3=\dfrac{9!}{6!}\\\\9P3=\dfrac{9\times 8\times 7\times 6!}{6!}\\\\9P3=9\times 8\times 7\\\\9P3=504[/tex]