MATHEMATICS HIGH SCHOOL

What is the area of 9 cm 3 cm of the rectangle​

Answers

Answer 1
Answer:

Answer:

27cm²

Step-by-step explanation:

it should be the area of rectangle..
Answer 2
Answer:

Answer:

Step-by-step explanation:

27 sq cm

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A place from this table is chosen at random. let event A= the place is a city

Answers

Answer:

5/7 is the correct answer

Step-by-step explanation:

The probability of the place is at city are:

The total probability of the place is at city / The total possible outcomes

= 5 / 7

Hope this help you :3

Answer:

There are 7 places shown in the table which are , →{Rome, Tokyo, Houston, Peru, Miami, Toronto, Canada}

Out of which 5 are cities.

City={Rome, Tokyo, Houston,Miami, Toronto,}=5

It is given that a,place from the city is chosen.

Probability of an Event

           =\frac{\text{Total Favorable event}}{\text{Total possible outcome}}          

Probability of selecting a city from 7 places in which 5 are cities

         P(A)=\frac{_(1)^(5)\textrm{C}}{_(1)^(7)\textrm{C}}\n\nP(A)=(5)/(7)\n\nP(A^c)=1-P(A)\n\n=1-(5)/(7)\n\n=(2)/(7)    

Option B             

Four less than the sum of a number and 7 is eight more than twice that number. find the number.

Answers

Answer:

-5

Step-by-step explanation:

To find the number, let's break down the problem step by step.

First, let's assign a variable to represent the unknown number. Let's call it "x."

According to the problem, "four less than the sum of a number and 7" can be written as "(x + 7) - 4."

Next, the problem states that this expression is "eight more than twice that number." So, we can write this as "2x + 8."

Now, we can set up an equation based on the information given:

(x + 7) - 4 = 2x + 8

Let's solve this equation to find the value of x.

First, let's simplify the left side of the equation:

x + 7 - 4 = 2x + 8

x + 3 = 2x + 8

Next, let's isolate the variable by subtracting x from both sides:

x - x + 3 = 2x - x + 8

3 = x + 8

To isolate x, we need to get rid of the 8 by subtracting it from both sides:

3 - 8 = x + 8 - 8

-5 = x

Therefore, the number is -5.

To check our answer, let's substitute -5 into the original equation and see if it holds true:

( -5 + 7) - 4 = 2(-5) + 8

2 - 4 = -10 + 8

-2 = -2

The equation holds true, which confirms that the number is indeed -5.

Factor completely. b2 + 12b + 32
Factor completely: a2 - a - 20

Answers

Factoring the first polynomial expression completely will give us (b+4)(b+8). Try to check it for yourself by multiplying the factors and you will get b2+12b+32. For the second polynomial expression, the factors are (a-5)(a+4). To check, just do the FOIL method and you will get a2-a-20.

Answer:

b² + 12b + 32 = (b + 8)(b + 4)

a² - a - 20 = (a - 5)(a + 4)

Step-by-step explanation:

b² + 12b + 32

To factor, let's find two numbers that multiply to 32, and add to 12.

I find the two numbers as 4 and 8.

We can expand 12b as 4b + 8b, and factor the pairs.

Factor:

  • b² + 12b + 32
  • b² + 4b + 8b + 32
  • (b² + 4b) + (8b + 32)
  • b(b + 4) + 8(b + 4)
  • (b + 8)(b + 4)

The factored form is (b + 8)(b + 4)

a² - a - 20

Using the same process, find two numbers that multiply to -20 and add to -1

The numbers are 4 and -5

Factor:

  • a² - a - 20
  • a² + 4a - 5a - 20
  • (a² + 4a) + (-5a - 20)
  • a(a + 4) -5(a + 4)
  • (a - 5)(a + 4)

The factored form is (a - 5)(a + 4)

Need help DUE IN 50 mins

Answers

The value of x is 8 and the value of y is 21.

The given lines l and m are parallel to each other. Thus,

Angles, (7x+12)^o and (12x-28)^o are equal due to absolutely none angles.

7x+12=12x-28\n5x=40\nx=8

The sum of the angles(12x-28)^o and (9y-77)^o is equal to 180^o.

(12x-28+9y-77)=180\n12*8-28+9y-77=180\ny =21

To know more about parallel,

brainly.com/question/34476765

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Two friends take a drive around the city. When they get home, they look at the odometer and their watches, and determine they traveled 54 miles in 72 minutes. What was their average speed in miles per hour?

Answers

x miles per hour means that  x miles / 60 minutes 
If they traveled 54 miles / 72 minutes, so:
72 minutes - 60 minutes = 12 minutes 
(12)/(60) = 0,2
60 minutes = 1 
12 minutes = 0,2  
1 + 0,2 = 1,2 hour
V = s/t 
v - velocity or speed
s - linear distance traveled 
t - time, so...
 we must divide 54 miles by 1,2 hour = 54:1,2= 45
Now, as we all know...
Their average speed was 45 miles per hour.
the question asks for the speed in miles per hour, so first thing we have to do is convert 72 minutes into hours by dividing by 60: 1.2 hours.
speed = distance / time
speed = 54 miles / 1.2 hours
speed = 45 miles/hour aka miles per hour aka mph

Use the law of cosines to find the value of cos. round your answer to two decimal places

Answers

Answer:

A. 0.21

Step-by-step explanation:

We have been given a triangle and we are asked to find the value of cos using law of cosines.  

Law of cosines:

c^2=a^2+b^2-2ab*cos(C)

Upon substituting our given values in above formula we will get,

10.9^2=5.8^2+10.5^2-2*5.8*10.5*cos(\theta)

118.81=33.64+110.25-121.8*cos(\theta)

118.81=143.89-121.8*cos(\theta)

118.81-143.89=143.89-143.89-121.8*cos(\theta)

-25.08=-121.8*cos(\theta)

(-25.08)/(-121.8)=(-121.8*cos(\theta))/(-121.8)

0.2059113300492611=cos(\theta)

Upon rounding our answer to nearest hundredth we will get,

cos(\theta)\approx 0.21

Therefore, the value of cos(\theta) is 0.21 and option A is the correct choice.
The law of cosine says that

10.9^2=5.8^2+10.5^2-2*10.5*5.8\cos\theta\implies\cos\theta\approx0.205911\approx0.21
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