Find the perimeter of the
triangle.
7 in.
(4x + 1) in.
(x + 4) in.

Answer:

a.) her loss is 5 dollars

b.) her profit is 10 dollars

c.) she should sell them for $0.15

Answer: C

Sn= 7(1-0.7n)

Step-by-step explanation:

The rule that defines S for [tex]a_n = 3(0.7)^n[/tex] is:

[tex]S_n = 7(1 - 0.7^n)[/tex]

The rule of S means that we calculate the rule that defines the sum of n terms of the geometric progression.

Given that:

[tex]a_n = 3(0.7)^n[/tex]

Rewrite as:

[tex]a_n = 3 (0.7)^n \times 1[/tex]

Replace 1 with 0.7/0.7

[tex]a_n = 3 (0.7)^n \times \frac{0.7}{0.7}[/tex]

Rewrite as:

[tex]a_n = 3 *0.7 \times \frac{(0.7)^n}{0.7}[/tex]

Apply law of indices

[tex]a_n = 3 \times 0.7 \times (0.7)^{n-1}[/tex]

[tex]a_n = 2.1 \times (0.7)^{n-1}[/tex]

The n term of a geometric progression is:

[tex]a_n = ar^{n-1}[/tex]

Compare [tex]a_n = ar^{n-1}[/tex] to [tex]a_n = 2.1 \times (0.7)^{n-1}[/tex]

[tex]a = 2.1[/tex] --- the first term

[tex]r = 0.7[/tex]

The sum of n terms of a geometric progression is:

[tex]S_n = \frac{a(1 - r^n)}{1 -r}[/tex]

This gives:

[tex]S_n = \frac{2.1(1 - 0.7^n)}{1 -0.7}[/tex]

[tex]S_n = \frac{2.1(1 - 0.7^n)}{0.3}[/tex]

[tex]S_n = 7(1 - 0.7^n)[/tex]

Learn more about the sum of geometric progression at:

https://brainly.com/question/22068689

Answer:

It's 372 in³

Step-by-step explanation:

A rectangular prism's volume is l x w x h right? So there are 2 rectangular prisms. So just add the volume of 2 rectangular prisms (12 x 4 x 4 + 12 x 3 x 5 = 372 in³

Answer: -1/4

Step-by-step explanation:

so lets just eliminate some of the choices here.

4 and -4 are 4/1 or -4/-1 and it doesnt go up or down 4 here so those can be ruled out. If we look at which way the green line is facing, positive goes up on the graph, but green line is going down so we can rule out 1/4. So all that is left is -1/4, so there's your slope.

Answer:

3/4

Step-by-step explanation:

Based on the spinner attached :

Faces are in equal divisions ; number of faces = 8

Probability the spinner will not land on a certain number = 1 - P(spinner lands on that number)

P(spinner lands on 5) = 1 /8

P(spinner will not land on 5) = 1 - 1/8 = 7/8

P(spinner lands on 8) = 1/8

P(spinner will not land on 8) = 1 - 1/8 = 7/8

Hence,

P(spinner will not land on 5 or 8)

Required outcome = (1, 2, 3, 4, 6, 7) = 6

Total possible outcomes = (1.2, 3, 4, 5, 6, 7, 8) = 8

P(spinner will not land on 5 or 8). = 6/8 = 3/4

Is this a test or do you need help

Answer:

option b is correct

I hope it helps

Answer:

Any better explanation

Answer:

49

Step-by-step explanation:

Given

v² - 14v

To complete the square

add ( half the coefficient of the v- term )² to v² - 14v

v² - 14v + (- 7)²

= v² - 14v + 49

= (v - 7)² ← a perfect square

Answer:

- 2x - 5

Step-by-step explanation:

2x - (5 + 4x)

2x - 5 - 4x

- 2x - 5

Answer: The answer is -2x - 5

Step-by-step explanation:

Answer:

7.6032,7.63,7.6

Sorry if I am wrong.

Step-by-step explanation:

Answer:

pi/3+2pin, 2pi/3+2pi(n)

Answer:

the next one is c - pi/2

Step-by-step explanation:

Answer:

57.6°

Step-by-step explanation:

It is always helpful to draw a picture.  Also, you need to memorize all the definitions of the trig functions.  For example,

sine of an angle = opposite side/hypotenuse

In your case, SQ is opposite side to angle R and QR is the hypotenuse

Therefore, sin R = 6.5/7.7

          m∠R =  arcsin (6.5/7.7) = 57.6°

Answer:

the answer to the question is 1

Answer:

Answer: 1/9

Step-by-step explanation:

(27^1/3 = 3

9^1/2 = 3

3^b

====

3^a

3^(b - a)

3^-2 = 1/9

1/9

Answer:

240 cubes

Step-by-step explanation:

A toy company uses the Box shown below to package wooden cubes each wooden Cube has a volume of 1/8 cubic feet in total how many wooden cubes will fit in the Box

Volume of the box = length × width × height

= 5 ft × 3 ft × 2 ft

= 30 ft³

Volume of wooden cube = 1/8 ft³

how many wooden cubes will fit in the box.

Number of wooden cubes that will fit in the box = volume of the box ÷ volume of the wooden cube

= 30 ft³ ÷ 1/8 ft³

= 30 × 8/1

= 240 cubes

Number of wooden cubes that will fit in the box = 240 cubes

Answer:

Step-by-step explanation:

May I please see the graph?

Answer:

I’m going in the order form up to down

1) Total cost is $15.60 (you multiply the unit rate by the quantity to find the total cost)

2) Unit rate is $13.20 (You divide the total by the quantity to find the unit rate)

3) Quantity is 6 (You divide the total by the unit rate to find the amount of things or quantity)

4) 12 percent tax rate (We can make an eqaution to find out how much you multiply thr total to find the tax rate by doing 82.5x=9.9. THe result would be 0.12 or 12 percent)

Answer:

108.75 m^2

Step-by-step explanation:

Area of a rectangle = length x breadth

15 x 7 1/4

15 x 29 / 4 = 108.75 m^2 or 108 3/4 m^2

Answer:

-5×-5>15

+5 +5

-5×>20

÷-5 ÷-5

x<-4

whe you divide by a negativr you flip the sign

Answer:

p-3=8.25

p=11.25

Answer:

p - 3 = 8.25 and 11.25

Step-by-step explanation:

hi there!

the question is asking us to first find out which equation we can use to solve this wordy problem.

its not going to be answers 1 or 3 since they are adding/ multiplying more on to our wooden plank, when the question is stating that we are subtracting 3 inches off.

knowing that now, our answer is p - 3 = 8.25 or 4 !

now all we have to do is add 3 to 8.25 to get our answer of how long the plank was before we cut it

3 + 8.25

= 11.25

p = 11.25 <---------------- our final answer!

i hope this helped you! i hope you have a good rest of your day :)

( im sorry if this this late!! )

Answer:

799 feet

Step-by-step explanation:

We solve using the Trigonometric function of Tangent.

tan theta = Opposite /Adjacent

From the above question, we have the height of the surveyor = 5.5 feet

theta = Angle of elevation = 65°

Adjacent = 370 feet

Let Opposite = height + height of spider rock

tan 65° = h - 5.5 /370 feet

Cross Multiply

tan 65° × 370 feet = h - 5.5

793.46756059 feet = h - 5.5

h = 793.46756059 feet + 5.5

h = 798.96756059 feet

Approximately = 799 feet

The height of the Spider rock = 799 feet

Answer:

35.44

Step-by-step explanation:

2 times pi times radius.

Answer:

x = 4

Step-by-step explanation:

Since the triangle is 45-90-45, x = 4.

Answer:

4 is the answer

Step-by-step explanation:

By Pythagorean theorem

hypotenuse^2=base^2+altitude^2

(4sqrt2)^2=(4)^2+x^2

32=16+x^2

32-16=x^2

16=x^2

taking square root on both sides

x=4

Answer:

25

Step-by-step explanation:

Answer:

21/H = 40/57

Step-by-step explanation: