What is the area of the triangle shown below

How to solve these? I would like explanation please

GuDViN [60]

Step-by-step explanation:

9.

it is a rectangle. 18m × 4m = 72 m²

the paving costs $35 per m², and we have 72 m², so it does not take a genius to figure out what to do next ...

right : we multiply 35 by 72

35×72 = $2520

10.

how much volume is a liter ?

a liter fits into a cube of 10cm side length.

and 1 meter = 100 cm = 10×10cm.

so, 1 m³ = 10×10×10 = 1000 such cubes of 10cm side length = 1000 liters.

the pool is 5 m × 15 m × 1.5 m = 112.5 m³ = 112500 liters

we need 2 kg salt for every 10000 liters water, so we have how many units of 10000 liters in the pool ?

112500 / 10000 = 11.25

so, we need

11.25 × 2 = 22.5 kg salt

11.

12 seconds = 1/5 of a minute.

so, batman runs at 3 km / min (= 60×3 km/hour = 180 km/h - not possible in real life for any human being, but let's play ...) for 12 seconds = 1/5th of a minute, and so he runs 3km/5 = 600 meters in that time.

that means he has 2km - 600m = 1400m left to run in the 2 km race.

it takes him 1400/3000th of a minute (3000 m would take him the full minute)

1400 m × minute / 3000 m = 14/30 = 7/15 minutes

1/15th minute = 60 seconds / 15 = 4 seconds.

so, 7/15th of a minute = 7×4 seconds = 28 seconds.

the bionic woman runs the full 2000 m with 5 km / minute.

it takes her 2000/5000th of a minute

2000 m × minute / 5000 = 2/5th of a minute.

1/5th of a minute is 60 seconds / 5 = 12 seconds.

so, 2/5th of a minute is 12×2 = 24 seconds.

therefore, the bionic woman wins by 4 seconds (24 seconds vs. 28 seconds).

12.

there is enough food for 150 students for 5 days = 150×5 =750 "food units".

therefore, if there were only 100 students, the food would last 750/100 = 7.5 days.

and if the food runs out after 4 days it means there are

750/4 = 187.5 students (how much sense that makes to have half a student ...).

13.

x = the workload to be done

Michelle's work speed is x/6 days

Danielle's work speed is x/4 days

on each day working together they achieve

1× x/6 + 1× x/4 of the total work load.

that is

2x/12 + 3x/12 = 5x/12

so, they need 5x/12 × a days to finish the whole x.

5x/12 × a = x

5/12 × a = 1

5a = 12

a = 12/5 = 2.4 days to finish the whole work when working together.

5 0

3 years ago

The phone company Blurizon has a monthly cellular plan where a customer pays a flat fee for unlimited voice calls and then a cer

emmainna [20.7K]

Answer:

$y=2x+27$ .

Step-by-step explanation:

We have been given that when a customer uses 14 GB, the monthly cost will be $55. When the customer uses 38 GB, the monthly cost will be $103. We are asked to write an equation in slope-intercept form, where x is the number of GB of data used in a month and y is the total monthly cost of the Blurizon plan.

We have been given two points on line (14,55) and (38,103).

Let us find slope of line.

$m=\frac{103-55}{38-14}$

$m=\frac{48}{24}$

$m=2$

Now, we will use slope-intercept form of equation.

$y=mx+b$

$55=2(14)+b$

$55=28+b$

$55-28=28-28+b$

$b=27$

Therefore, our required equation would be $y=2x+27$ .

6 0

4 years ago

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y <

shepuryov [24]

Answer:

See explanation

Step-by-step explanation:

You have to graph the system of inequalities presented as

$\left\{\begin{array}{l}y$

Part A:

1. Draw a dotted line $y=4x-2$ (dotted because the sign < is without notion "or equal to"). Select one of two regions by substituting the coordinates of origin into inequality:

$0$

Since this inequlity is false, the origin doesn't belong to the shaded region, so you have to shade that part which doesn't contain origin (red part in attached diagram).

2. Draw a solid line $y=-\frac{5}{2}x-2$ (solid because the sign ≥ is with notion "or equal to"). Select one of two regions by substituting the coordinates of origin into inequality:

$0\ge -\frac{5}{2}\cdot 0-2\\ \\0\ge -2$

Since this inequlity is true, the origin belongs to the shaded region, so you have to shade that part which contains origin (blue part in attached diagram).

The intersection of these two regions is the solution area.

Part B:

Plot point (-2,-2). Since this point doesn't belong to the solution area, this is not a solution of the system of two inequalities. You can check it mathematically - substitute x=-2 and y=-2 into the system:

$\left\{\begin{array}{l}-2$

Both inequalities are false, so (-2,-2) doesn't belong to the solution area.

3 0

3 years ago

1.) Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not ha

Mazyrski [523]

9514 1404 393

Answer:

x = x+1
0 = x+1
x+1 = x+1

Step-by-step explanation:

1. There will be no solution if the equation is a contradiction. Usually, it is something that can be reduced to 0 = 1.

If we choose to make our equation ...

x = x +1

Subtracting x from both sides of the equation gives ...

0 = 1

There is no value of the variable that will make this be true.

__

2. Something that reduces to x = c will have one solution. One such equation is ...

0 = x+1

x = -1 . . . . subtract 1 from both sides

__

3. Something that reduces to x = x will have an infinite number of solutions.

One such equation is ...

x+1 = x+1

Subtracting 1 from both sides gives ...

x = x . . . . true for all values of x

3 0

3 years ago

Factor: Show all work<br> x^2-6x+9

yKpoI14uk [10]

HI THIS IS VERY HARD CAN U GIVE ME MORE TIME

4 0

4 years ago

What is the area of the triangle shown below ​

What is the area of the triangle shown below