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3 years ago

A town plans to put a triangular garden in the town square. The base of the garden will be 9 m, and the height will be 16 m.

Mathematics

2 answers:

cluponka [151]3 years ago

6 0

Answer:

The area of the triangular garden is $72\ m^{2}$

Step-by-step explanation:

we know that

The area of the triangular garden is equal to

$A=\frac{1}{2}bh$

we have

$b=9\ m$

$h=16\ m$

substitute

$A=\frac{1}{2}(9)(16)=72\ m^{2}$

Alchen [17]3 years ago

4 0

Its 72 m2 im sure hope this helps

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Find four consecutive even integers such that seven times the first exceeds their sum by 18.

Ganezh [65]

Answer:

10, 12, 14, 16

Step-by-step explanation:

Given: Four consecutive even integers such that seven times the first exceeds their sum by 18.

Lets assume the first number be "x".

As it is even integers

∴ Second consecutive number will be $(x+2)$

Third consecutive number will be $(x+4)$

Fourth consecutive number will be $(x+6)$

Now, as given seven times the first exceeds their sum by 18.

∴ $[x+(x+2)+(x+4)+(x+6)]+18 = 7x$

solving the equation to find the number.

⇒ $[x+(x+2)+(x+4)+(x+6)]+18 = 7x$

Opening parenthesis

$x+x+2+x+4+x+6+18 = 7x$

⇒ $4x+30= 7x$

subtracting both side by 4x

⇒ $30= 3x$

Dividing both side by 3

∴ x= 10.

Hence, subtituting the value x to find four consecutive even integers.

First number is 10

Second consecutive number will be $(10+2)$ = 12

Third consecutive number will be $(10+4)$ = 14

Fourth consecutive number will be $(10+6)$ = 16

∴ Four consecutive even integers are 10,12,14,16.

8 0

3 years ago

After the outbreak of a mysterious disease, the average wait time at a hospital increased by 70\%70%70, percent. Before the outb

Oksana_A [137]

Answer:

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Step-by-step explanation:

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3 years ago

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Kruka [31]

Answer:

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Step-by-step explanation:

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3 years ago

1.) The numbers 1-12 are written on a card and placed in a bag. What is the probability that a number divisible by 3 is drawn? E

Pepsi [2]

<span>1.) In numbers from 1 to 12, there are 4 numbers that are divisible by 3 (3,6,9 and 12), meaning there will be 4 possible outcomes if a number will be drawn from 12 numbers. The probability of drawing a number divisible by 3 is 4/12 or 1/3.

2.) In the movie drawer, there are 15 movies, seven are action movies, five comedies, and three dramas. The probability of choosing an action movie is 7/15, while a comedy is 5/15. The probability of choosing an action or a comedy is higher at (7/15+5/15) or 12/15 equivalent to 4/5.
3.) Having drawn 8 black marbles and 2 white marbles from a bag of 100 marbles give a probability of 8/10 (4/5) for black marbles and 2/10 (1/5) for white marbles. If there are 100 marbles, we can predict that there are 4/5(100) equivalent to 80 marbles in the bag.</span>

<span>
4.) On a youth soccer team, three out of 12 team members have played in previous years. Based on this information, if 180 kids are in the youth soccer league, then the number of members who could be expected to have played the year before is 3/12 or ¼ of 180 which is 45. </span>

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4 years ago

How many sunsets of at least one element does a set of six elements have

Lesechka [4]

Answer:

Step-by-step explanation:

Given:

a set of six elements

The solution would be like this for this specific problem:

number of subsets of n elements = 2^n

(2^6) - 1

= 64 – 1

= 63

7 0

3 years ago