7.
The width of a rectangle is 33 centimeters. The perimeter is at least 776 centimeters.
a. Write and solve an inequality to find the length of the rectangle.
b. Write an inequality to find the area of the rectangle in square centimeters.


A. 2(33) + 2ℓ ≤ 776; ℓ ≤ 355; A ≤ 33(355)


B. 2(33) + 2ℓ ≥ 776; ℓ ≥ 335; A ≥ 33 + 335


C. 33 + ℓ ≥ 776; ℓ ≥ 743; A ≥ 33(743)


D. 2(33) + 2ℓ ≥ 776; ℓ ≥ 355; A ≥ 33(355)

Step-by-step explanation:

We are given two Triangles and we need to prove them congruent . In ∆AOC and ∆BOD , we have

[tex]\to AC = BD ( given ) \\\\\to OD = OA \\\\\to \angle CAO =\angle BDO (Since\ BD || AC ) [/tex]

Therefore by AAS congruent condition we can say that ,

[tex]\implies\red{ \triangle AOC \cong \triangle BOD }[/tex]

Hence Proved!

Answer:

A) you need more information to determine the domain.

Step-by-step explanation:

You can't find an answer just by looking at it. Think of it like you are just guessing.

Answer:

1.42857142857

Step-by-step explanation:

Well that the answer I got on my phone.

Answer:

Your answer is letter d

Step-by-step explanation:

Answer:

5 and -6

Step-by-step explanation:

Answer:

5 and -6

Explanation:

[tex]xy = - 30 \\ x + y = - 1[/tex]

and you solve using the substition method

Answer:

you can download it here

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

Answer:

The answer is "This is true since it is a random systematic  sample".

Step-by-step explanation:

In the given scenario, Systemic random sampling involves the random sampling method which often involves the collection of samples onto an interval system in such a numbered group of people based on the premise/base. It also is a selection of samples at a particular preset interval.

Answer:

i don no

Step-by-step explanation:

Answer:

I think it is 5.6e+12

Step-by-step explanation:

Answer:

15 times because if the spinner is divided into 4 equal parts and you spin it a total of 60 times you would divide 60 by 4 to get your answer

Answer:

15 because 15 for each red, blue, green and yellow

Step-by-step explanation:

15 x 4 = 60

Answer:

$4625.10

Step-by-step explanation:

Her account already had $904.31

You now need to add $375.

Then add $500 twice.

Because of how banks work, we need to find out how much they pay monthly. There are 12 months in a year. 5.5 divided by 12 is 0.45.

45% of 1279.31 is 575.68

Now we add the $575.68 to $1279.31

April is a new month and she deposited $500.

45% of 1854.99 is 834.74

Add $834.74 to $1854.99

Then she deposits 500 on May, another new month.

I think this step is obvious. Just follow what you did last time.

This leaves her with $4625.10

Answer:

a = 87

Step-by-step explanation:

36+57=93

180-93=87

Answer:

87°

Step-by-step explanation:

Since this is a triangle, triangles add up to 180°

Since we know the 2 angles, we are able to find a

180 - 36 - 57 = 87

a = 87°

Answer:

she is correct

Step-by-step explanation:

To determine the difference in height, subtract the height of the male polar bear from that of the female polar bear

279 - 156 = 123 m

Answer:

5 2 thats them so 5 2 that them

Answer:

The answer is n + 3.

Step-by-step explanation:

1) Simplify.

[tex] \frac{2n + 6}{2} [/tex]

2) Factor out the common term 2.

[tex] \frac{2( n+ 3)}{2} [/tex]

3) Cancle 2.

[tex]n + 3[/tex]

Therefor, the answer is n + 3.

Answer:

Step-by-step explanation:

Using the relation :

S = ut + 1/2at²

S = distance

Car A :

Initial speed, u = 40 mph

a = negative acceleration = - 1 mph

At time, t = 4

S = 40(4) - 0.5(1)(4²)

S = 160 - 8

S = 152 miles

Car B :

Initial speed, u = 30 mph

a = acceleration = 0.5 mph

S = 30(4) - 0.5(1)(4²)

S = 120 - 8

S = 118 m

Change in distance / time

Rate of change = (152 - 118)m / 4 hours

Rate of change = 34 mi / 4 hr

Rate of change = 8.5 miles per hour

Answer:

Step-by-step explanation:

Answer:

Penelope get to ride 30 rides if she spends $35 in all

Step-by-step explanation:

r= ride

20 +0.50r =35

sibtract 20 on each side

0.50r = 15

divide esach side by 0.50

r= 30

Answer:

In graphing inequalities, the first thing to do is graph the equation first irregardless of the inequality symbol. In the given problem, the equation to be graphed is f(x) = 2/9x + 3. Since it has a general form of y=mx + b, this is a linear function. Plot the graph by assigning arbitrary points of x, then you get the corresponding f(x) values. Graph the x values against the f(x) values. The blue line the attached picture will be formed.

Next, you solve the equation by finding x. Just don't mind the inequality symbol:

2/9 x + 3 > 4 5/9

2/9x > 4 5/9 - 3

2/9x > 14/9

x > 14/9 ÷ 2/9

x > 7

Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.

Step-by-step explanation:

Answer: Rolling a six-sided number cube 24 times and recording if a 5 comes up

Thank you for being so generous with the points!! <3

Answer:

By cross multiplication

x = 5 × 30

x = 150.

150/5 = 30

30 = 30

Hence, the value of x is 30 units.

[tex][/tex]

Answer:

y = 3^(1 + x)

Step-by-step explanation:

Notice that each time x increases by 1, y increases by a factor of 3.

Thus, the required equation  has the form y = 3^x.

Check:  If x = 0, do we get 3?  No.  Therefore we must modify the exponent:

y = 3^(1 + x)

Check:  If x = 0, do we get 3?  3^(1 + 0) = 3 (correct)

If x = 2, do we get 27?  3(1 + 2) = 3^3 + 27 (correct)

Answer:

.

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

To find the amount of percent a value takes up, here's the formula:

Let X = heads

Let y = amount of coinflips

Let z = percent of coinflips are heads

z=x/y

Answer:

113.1cm²

Step-by-step explanation:

Answer: It is 36 pi

Step-by-step explanation:

I took the test on k-12