Compound Inequalities
Solve for x.
−9x+5<17 AND 13x+25<−1

Answer:

if right triangle 10.2956 hypotenuse 7.4833 if not a right triangle then greater than 4

Step-by-step explanation:

If it’s a right triangle, and the 2 sides are 5 and 9, then the 3rd side ( the hypotenuse) will be 10.2956. If one side is 5, and the hypotenuse is 9, then the 3rd side will be 7.4833.

If it’s not a right triangle, then the 3rd side must be greater than 4.

Answer:

30 inches long

Step-by-step explanation:

width=5

length=6x5

6x5=30

length=30

Answer:

Step-by-step explanation:

(a)

Suppose we came up with an ideology whereby we pick a value for the length including the length dividing the inside into 4 parts(5 parallel sides), then we can get the value for breath by using the following process.

Let assume the length of the rectangle is 50;

Then, the breath can be calculated as follows:

= 50 × 5 = 250   ( since the breath is divided into 5 parallel sides)

The fencing is said to be 950 ft

So, 950 - 250 = 700

Then divided by 2, we get:

= 700/2

= 350

So for the first diagram; the length = 50 and the breath = 350

The area = 50 × 350 = 17500 ft²

Now, let's go up a little bit.

If the length increase to 100;

Then 100 × 5 = 500

⇒ 950 - 500 = 450

⇒ 450/2 = 225

The area = 225 × 100 = 22500 ft²

Suppose the length increases to 150

Then 150 × 5 = 750

⇒ 950 - 750 = 200

⇒ 200/2 = 100

The area = 150 × 100 = 15000 ft²

The diagrams for each of the outline above can be seen in the image attached below.

(b) The diagram illustrating the general solution can be seen in the second image provided below.

(c) The expression for  the total area A in terms of both x and y is:

Area A = x×y

(d) Recall that:

The fencing is said to be 950 ft.

And the length is divided inside into 5 parallel sides;

Then:

5x + 2y = 950  (from the illustration in the second image below)

2y  = 950 - 5x

[tex]y = \dfrac{950}{2} - \dfrac{5}{2}x[/tex]

[tex]y = 475- \dfrac{5}{2}x[/tex]

(e)

From (c); replace the value of y in (d) into (c)

Then:

Area A = x×y

[tex]f(x)= x\times ( 475 -\dfrac{5}{2}x)[/tex]

Open brackets

[tex]f(x)= ( 475 x-\dfrac{5}{2}x^2)[/tex]

(f)

By differentiating what we have in (e)

[tex]f(x)= ( 475 x-\dfrac{5}{2}x^2)[/tex]

[tex]f'(x)= ( 475 (1)-\dfrac{5}{2}(2x))[/tex]

[tex]f'(x)= 475 -5x[/tex]

[tex]\implies 475 = 5x[/tex]

x = 475/5

x = 95

From (d):

[tex]y = 475- \dfrac{5}{2}x[/tex]

[tex]y = 475- \dfrac{5}{2}(95)[/tex]

[tex]y =237.5[/tex]

∴

Area A = x × y

Area A = 95 × 237.5

Area A = 22562.5 ft²

Answer:

40[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

6 stations

Step-by-step explanation:

24=1,2,3,4,6,8,12,24

18=1,2,3,6,9,18

Now we have to find which numbers are the same but that are the largest.

so It would be 6.

So Mrs.Davis can have every student participate in 6 stations.

Answer:

radius : 29.99 feet

Area : 2824.57 square feet

Step-by-step explanation:

Answer:

20.2

Step-by-step explanation:

because its 20.2 trust

plz mark brainliest

Answer:

0.6

Step-by-step explanation:

covert 50 into a decimal move two places to the left from the 0 so you get 0.5 and 0.7 so 0.6 is in the middle

The area and perimeter of the given shaded figure are respectively 33.12 unit² and 20.56 units.

What information do we have?

Radius of semi-circle = 8 / 2 = 4 unit

Length of remain Rectangle = 8 unit

Width of remain Rectangle = 2 unit

Perimeter of shaded figure = πr + (l + 2b)

Perimeter of shaded figure = (3.14)(4) + [4 + (2)(2)]

Perimeter of shaded figure = 12.56 + 4 + 4

Perimeter of shaded figure = 20.56 units

Area of shaded figure = πr²/2 + lb/2

Area of shaded figure = (3.14)(4)²/2 + (8)(2)/2

Area of shaded figure = (3.14)(8) + 8

Area of shaded figure = 25.12 + 8

Area of shaded figure = 33.12 unit²

Find out more information about 'Area'.

https://brainly.com/question/1631786?referrer=searchResults

Answer:

the attractive force of magnetism

Answer:

The probabiltiy that a member swims given they play bridge is 82%.

Step-by-step explanation:

P(Swims given Bridge) = P(Swims and Bridge)/P(Bridge)

= 0.72 / 0.87

= 0.82

Answer:

65 degrees

Step-by-step explanation:

115*2=230

360-230=130

130/2=65

65 degrees is the answer.

Answer:

Ninafanya hivi kwa kujifurahisha

Step-by-step explanation:

Answer:

18/2 is 9

Step-by-step explanation:

2*9 is 18

Answer: None of these answers are correct.

Explanation: 2÷18 is 1/9 (one ninth).

Answer:

47.25/cm

Step-by-step explanation:

35 x .35 = 12.25

35 + 12.25 = 47.25 cm

Answer:

Transformations of function -3(4x)² - 5:

Answer:

Step-by-step explanation:

50 is it

Answer:

x=50

Step-by-step explanation:

Answer:

y= (9-5x)/4

Step-by-step explanation:

5x+4y=9

-5x     -5x

4y=9-5x

/4    /4

y= (9-5x)/4

Answer:

13

Step-by-step explanation:

9/(2/3) = 27/2 = 13.5

Answer:

Drop the egg from half way up the building. This divides the search space in half. If it breaks, start on the bottom floor and work your way up. If it doesn't, start on the next floor up and continue up.

Answer:

By not dropping them at all, 0 times

Step-by-step explanation:

Answer:

option A & option D

Step-by-step explanation:

Here lines AD & BP intersect at T , 2 pairs of vertical angles will be formed. They are - (ATB & PTD) and (BTD & ATP).

When lines AD & RN intersect at T , 2 pairs of vertical angles will be formed. They are - (ATN & RTD) and (ATR & NTD).

When lines BP & RN intersect at T , 2 pairs of vertical angles will be formed. They are - (BTN & PTR) and (BTR & PTN).

Answer:

12h greater than or equal to 1200

Step-by-step explanation:

Let h = the number of hours worked. Since they make $12 per hour, then 12h represents how much they make. They need $1200 for the event, so they need to make AT LEAST that amount. That means 12h must be greater than or equal to $1200.

Answer:

-199

Step-by-step explanation:

Answer:

The answer is -199

Step-by-step explanation:

f(-6)= -8(-6)^2-5(-6)+59 =-199

Answer:

Step-by-step explanation:

slope is -3/2. rise/run. There's already a graph there so I'm assuming no need to show one

Answer:

slope: -3/2

y intercept: -1

equation: y = -3/2x-1

Answer:

27 years

Step-by-step explanation:

Given that :

Adrian's age = 3

Father's age = 34

In how many years will Adrian be twice as young as his father?

Let the number of years = x

2(3 + x) = 34 + x

6 + 2x = 34 + x

2x - x = 34 - 6

x = 28

Answer:

Terminating

Step-by-step explanation:

Answer:

Terminating

Step-by-step explanation:

it doesn't repeat bc 89/100 = 0.89

Answer:

36.598 - 0.001 = 36.597