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Mice21 [21]
3 years ago
10

Find the surface area

Mathematics
2 answers:
ludmilkaskok [199]3 years ago
5 0
429 inches squared. (7*11) + (7*11) + (5*11) + (5*11) + (5*11) + (5*11) = 429
mote1985 [20]3 years ago
3 0

Answer:

Step-by-step explanation:

l = 7 in

w = 11 in

h = 5 in

Surface area = 2*(lw +wh +hl)

        = 2*(7*11 + 11*5 + 5*7)

       = 2* (77+ 55 + 35)

     = 2 * 167

     = 334 square inches

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Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has to use are 8 feet,
BlackZzzverrR [31]

Answer:

Step-by-step explanation:

The three pieces of fencing he has to use are 8 feet, 15 feet, and 20 feet long. For him to be able to make a right triangle with his fence, the length of the sides must form a Pythagoras triple. To determine if the lengths make a Pythagoras triple, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent².

Therefore

20² = 8² + 15²

400 = 64 + 225 = 289

Since they are not equal, it means that they do not form Pythagoras theorem, thus,.

He will not be able to make a right triangle with his fence.

6 0
3 years ago
A motel has 20 rooms. If the manager charges $60 per room per night, all the rooms will be rented. For each $5 increase, one les
serious [3.7K]

Answer:

Rent: $80

Revenue: $1280

Step-by-step explanation:

We can solve this by representing the problem as an expression and finding the maximum of that

We know that revenue = number of sales * average price. If x represents the amount of 5 dollar increases, then we subtract x from 20 to get the total number of sales. For example, if there was 1 5 dollar increase, the number of sales would be 20-1 = 19. Similarly, the average price is equal to 60 + 5x, as we add $5 for each x. For example, if there were 3 $5 increases, it would cost 60 + 3 * 5 = 75 per room.

Therefore,

revenue = (20-x) * (60 + 5x)

= 1200 + 100x - 60x - 5x²

= -5x²+40x+1200

This is a quadratic expression -- we know it is one because it is of form ax²+bx+c, where a=-5, b=40, and c = 1200. Because the a is negative, the quadratic expression (which forms a parabola) opens downward, meaning that there is a peak of the expression at its vertex.

The x value of the vertex of a parabola given this form for the quadratic expression is (-b/2a) , which is (-40/(2*(-5))) = -40/-10 = 4 here, and plugging that into our equation,

y= -5x²+40x+1200

= -5 (4)²+40(4) + 1200

= -5 * 16 + 160 + 1200

= 1280 as our maximum revenue

Therefore, the amount of 5 dollar increases is 4, making the average price equal to 60 + 5 * 4 = 80 dollars

5 0
2 years ago
$72 game with a 20% discount and 7.5% tax
d1i1m1o1n [39]

Answer:

Cost of game after discount = 72 - 20% of 72 = $57.6

Cost after tax = 57.6 + 7.5% of 57.6 = $61.92

So, the required cost is $61.92.

7 0
3 years ago
Raymond can type 40 words each minute. How many words can he type in 8 minutes?
Phantasy [73]

Answer:

320

Step-by-step explanation:

320 words per minute 40x8=320

3 0
2 years ago
Read 2 more answers
A total of 12 players consisting 6 male and 6 female badminton players are attending a training camp
abruzzese [7]

Step-by-step explanation:

<em>"A total of 12 players consisting 6 male and 6 female badminton players are attending a training camp."</em>

<em />

<em>"(a) During a morning activity of the camp, these 12 players have to randomly group into six pairs of two players each."</em>

<em>"(i) Find the total number of possible ways that these six pairs can be formed."</em>

The order doesn't matter (AB is the same as BA), so use combinations.

For the first pair, there are ₁₂C₂ ways to choose 2 people from 12.

For the second pair, there are ₁₀C₂ ways to choose 2 people from 10.

So on and so forth.  The total number of combinations is:

₁₂C₂ × ₁₀C₂ × ₈C₂ × ₆C₂ × ₄C₂ × ₂C₂

= 66 × 45 × 28 × 15 × 6 × 1

= 7,484,400

<em>"(ii) Find the probability that each pair contains players of the same gender only. Correct your final answer to 4 decimal places."</em>

We need to find the number of ways that 6 boys can be grouped into 3 pairs.  Using the same logic as before:

₆C₂ × ₄C₂ × ₂C₂

= 15 × 6 × 1

= 90

There are 90 ways that 6 boys can be grouped into 3 pairs, which means there's also 90 ways that 6 girls can be grouped into 3 pairs.  So the probability is:

90 × 90 / 7,484,400

= 1 / 924

≈ 0.0011

<em>"(b) During an afternoon activity of the camp, 6 players are randomly selected and 6 one-on-one matches with the coach are to be scheduled.</em>

<em>(i) How many different schedules are possible?"</em>

There are ₁₂C₆ ways that 6 players can be selected from 12.  From there, each possible schedule has a different order of players, so we need to use permutations.

There are 6 options for the first match.  After that, there are 5 options for the second match.  Then 4 options for the third match.  So on and so forth.  So the number of permutations is 6!.

The total number of possible schedules is:

₁₂C₆ × 6!

= 924 × 720

= 665,280

<em>"(ii) Find the probability that the number of selected male players is higher than that of female players given that at most 4 females were selected. Correct your final answer to 4 decimal places."</em>

If at most 4 girls are selected, that means there's either 0, 1, 2, 3, or 4 girls.

If 0 girls are selected, the number of combinations is:

₆C₆ × ₆C₀ = 1 × 1 = 1

If 1 girl is selected, the number of combinations is:

₆C₅ × ₆C₁ = 6 × 6 = 36

If 2 girls are selected, the number of combinations is:

₆C₄ × ₆C₂ = 15 × 15 = 225

If 3 girls are selected, the number of combinations is:

₆C₃ × ₆C₃ = 20 × 20 = 400

If 4 girls are selected, the number of combinations is:

₆C₂ × ₆C₄ = 15 × 15 = 225

The probability that there are more boys than girls is:

(1 + 36 + 225) / (1 + 36 + 225 + 400 + 225)

= 262 / 887

≈ 0.2954

7 0
3 years ago
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