The diagram shows a row of five identical tiles each in the shape of an isosceles trapezoid what is the area of one tile

Factor out the coefficient of the variable term The expression 1/10k-7/10 factored is

Goshia [24]

Answer:

The answer: 1/10x (k-7)

Step-by-step explanation:

6 0

3 years ago

H. Four businessman invested a sum of Rs.

balandron [24]

Answer:

The answers are in solutions.

Step-by-step explanation:

Four businessmen invested a sum of Rs. 250,000 in the ratio of 3:5:7:10 to start a new business.

(i) The amount invested by each businessman is;

1^st businessman invested:

$\frac{3}{25} * 250,000 =$ Rs. 30,000

2^nd businessman invested:

$\frac{5}{25} * 250,000$ = Rs. 50,000

3^rd businessman invested:

$\frac{7}{25} *250,000$ = Rs. 70,000

4^th businessman invested:

$\frac{10}{25} *250,000$ = Rs. 100,000

If they gained Rs. 50,000

(ii) The profit each one of them got is;

1^st businessman got:

$\frac{3}{25} * 50,000$ = Rs. 6,000

2^nd businessman got:

$\frac{5}{25} *50,000$ = Rs. 10,000

3^rd businessman got:

$\frac{7}{25} *50,000$ = Rs. 14,000

4^th businessman got:

$\frac{10}{25} *50,000$ = Rs. 20,000

8 0

3 years ago

Mathematics Simple events likelihood experimental probability

saw5 [17]

Problem 1

Answer: Closer to 1

Explanation:

There are 20 gumballs total. Half of this is 20/2 = 10 gumballs. If there's more than 10 of one color, then the probability of getting that color is closer to 1, than it is to 0. Here we have 12 pink which is greater than 10, so that's why the answer is closer to 1.

================================================

Problem 2

Answer: Closer to 0

Explanation:

The amount of green (3) is less than 10, so that's why the probability is closer to 0 than it is to 1. We can see that 3/20 = 0.15 is less than 0.50

================================================

Problem 3

Answer: Closer to 0

Explanation:

We have a similar situation compared to problem 2. This time we have 5/20 = 0.25 which is less than 0.50

================================================

Problem 4

Answer: 48% chance; fairly likely

Explanation:

We have 12 green out of 25 total, so the probability of choosing green is 12/25 = 0.48 = 48%. While this probability is not over 50%, I still say it's fairly likely considering the other colors lead to smaller probabilities. For instance, purple has a chance of 6/25 = 0.24 = 24% and orange has a probability of 2/25 = 0.04 = 4%, both of which are smaller than 48%

3 0

3 years ago

The top and bottom margins of a poster 66 cm each, and the side margins are 44 cm each. If the area of the printed material on t

jasenka [17]

Answer:

width: 24 cm
height: 36 cm

Step-by-step explanation:

When margins are involved, the smallest area will be the one that has its dimensions in the same proportion as the margins. If x is the "multiplier", the dimensions of the printed area are ...

(4x)(6x) = 384 cm^2

x^2 = 16 cm^2 . . . . . divide by 24

x = 4 cm

The printed area is 4x by 6x, so is 16 cm by 24 cm. With the margins added, the smallest poster will be ...

24 cm by 36 cm

_____

Comment on margins

It should be obvious that if both side margins are 4 cm, then the width of the poster is 8 cm more than the printed width. Similarly, the 6 cm top and bottom margins make the height of the poster 12 cm more than the height of the printed area.

_____

Alternate solution

Let w represent the width of the printed area. Then the printed height is 384/w, and the total poster area is ...

A = (w+8)(384/w +12) = 384 +12w +3072/w +96

Differentiating with respect to w gives ...

A' = 12 -3072/w^2

Setting this to zero and solving for w gives ...

w = √(3072/12) = 16 . . . . matches above solution.

__

Generic solution

If we let s and t represent the side and top margins, and we use "a" for the printed area, then the above equation becomes the symbolic equation ...

A = (w +s)(a/w +t)

A' = t - sa/w^2

For A' = 0, ...

w = √(sa/t)

and the height is ...

a/w = a/√(sa/t) = √(ta/s)

Then the ratio of width to height is ...

w/(a/w) = w^2/a = (sa/t)/a

width/height = s/t . . . . . . the premise we started with, above

6 0

3 years ago

9. In the diagram below, Angle A is 50 degrees. What is angle B?

maw [93]

Answer:

130

Step-by-step explanation:

Angle B = 180 - Angle A

180 - 50 = 130

4 0

3 years ago

Read 2 more answers