Find the area of the figure. Round to the nearest hundredth where necessary.
55 mm
32.5 mm
12.5 mm
12.5 mm

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

                The side length of an equilateral triangle is 5 cm. Find its perimeter.

[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

We are given that the triangle is equilateral.

"equi" means "equal" and "lateral" means "sides"

✯ So an equilateral triangle has 3 equal sides.

We are also given that one side is equal to 5 cm.

If one side is equal to  5 cm, and the triangle's equilateral, then the other two sides are equal to 5 cm.

◈ In order to find the perimeter of a shape, you should add all of its side lengths together.

✯ Now, we need to find the perimeter, which we can find using the following formula:-

[tex]\bold{Perimeter_{(triangle)}=a+b+c}[/tex]

Now, we add them:-

[tex]\hookrightarrow\sf{P=5+5+5}[/tex]

So we conclude that the perimeter is equal to:-

[tex]\hookrightarrow\sf{P=15\:cm}[/tex]

[tex]\rule{300}{1}[/tex]

Answer:

3

Step-by-step explanation:

Prime factorization

60 = 2 x 2 x 5 x 3  

9  15  and 6   are NOT prime numbers !

Answer:

x+2

Step-by-step explanation:

Given polynomial:

1x+2

x can be written as 1x, which is

Same case is here as well.

Rewrite 1x as x:

There isn't any like terms so we can't simplify.

Answer:

is this required answer

Step-by-step explanation:

AB=3x-2

=3*8-2

=22

Answer:

[tex]\huge\boxed{\textbf{AB = 22}}[/tex]

Step-by-step explanation:

Given that:

AB = 3x - 2

Put x = 8

AB = 3(8) - 2

AB = 24 - 2

AB = 22

[tex]\rule[225]{225}{2}[/tex]

Answer:

232

Step-by-step explanation:

→ Find the percentage multipier

( 100 + 45 )÷ 100 = 1.45

→ Multiply this by the original amount

1.45 × 160 = 232

Answer:

1. 6.75x or (6.75, 1)

2.  buys 9 sandwiches.

Step-by-step explanation:

hope this helps if not let me know have a blessed day

Answer:

True, (-∞, ∞)           0 > -12

Step-by-step explanation:

8 > −4

8 - 8 > −4 - 8

0 > -12

Hope it helps :)

If you have any questions or anymore help lmk, happy to help with any school work!!

Have a nice day, you’ll make it thru :)

(shhhh i added your deleted question to this one as well, Image below)

Answer:

5. 5.8

6. 6

7. 6

Step-by-step explanation:

5. mean - add all values and divide by the number of values

2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10 = 75

mean = 75/13 = 5.8

6. median - middle value of values written in ascending order.

2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10

median = 6

7. mode - value that occurs most times

mode = 6

Answer: can i get

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ C(\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad G(\stackrel{x_2}{-2}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ CG=\sqrt{[-2 - (-5)]^2 + [4 - 9]^2}\implies CG=\sqrt{(-2+5)^2+(-5)^2} \\\\\\ CG=\sqrt{3^2 +(-5)^2}\implies CG=\sqrt{34}[/tex]

Answer:

$ 1.932

Step-by-step explanation:

Answer:

∠CED = 70°

∠BCE = 134°

Step-by-step explanation:

Finding z :

Finding ∠CED :

Finding y :

Finding ∠BCE :

Answer:

∠CED = 70°

∠BCE = 134°

Step-by-step explanation:

We don't know if AB and DE are parallel (since there are no arrows on these line segments), therefore we cannot use the Alternate Interior Angles Theorem at this point to definitively say that ∠CDE = ∠ABC.

Angles around a point sum to 360°

Angles on a straight line sum to 180°

⇒ ∠ACB + ∠BCE = 180

⇒ ∠ACB + (7y - 6) = 180

⇒ ∠ACB = 180 - (7y - 6)

⇒ ∠ACB = 180 - 7y + 6

⇒ ∠ACB = 180 - 7y + 6

⇒ ∠ACB = 186 - 7y

The interior angles of a triangle sum to 180°

⇒ ∠ACB + ∠CBA + ∠BAC= 180

⇒ 186 - 7y + 64 + 3y + 10 = 180

⇒ 260 - 4y = 180

⇒ 4y = 80

⇒ y = 20

Using the found value of y to find ∠BCE:

⇒ ∠BCE = 7(20) - 6

⇒ ∠BCE = 134°

Angles on a straight line sum to 180°

⇒ ∠DCE + ∠BCE = 180

⇒ ∠DCE + 134 = 180

⇒ ∠DCE = 46°

The interior angles of a triangle sum to 180°

⇒ ∠DCE + ∠CED+ ∠EDC = 180

⇒ 46 + (9z - 2) + 8z = 180

⇒ 17z + 44 = 180

⇒ 17z = 136

⇒ z = 8

Using the found value of z to find ∠CED:

⇒ ∠CED = 9(8) - 2

⇒ ∠CED = 70°

Step-by-step explanation:

1.

when 3 coins are flipped the following outcomes are possible

h = heads, t = tails

h h h

h h t

h t h

h t t

t h h

t h t

t t h

t t t

yes, there have to be 8 options, because we have 3 positions with 2 possible outcomes. that means

2×2×2 = 2³ = 8 possibilities.

2.

at least 2 tails means 2 or 3 t in the list item :

h t t

t h t

t t h

t t t

3.

so, 4 out of the 8 possible outcomes. the probability is then therefore

4/8 = 1/2 = 0.5

Answer:

1) They will stop 10 times for a break

2) A baker can make 10 cakes

3) Tammy will distrubute 36 bags with 2 1/2 pounds of candy

Step-by-step explanation:

Let me know if you have any questions !

Hope it helps

So probability of red rose is 1/24

Probability of white rose is 1/28

TOTAL roses= 50

P(A$\cap$ B)=1/24+1/28-1/50

So Probability of white is

Answer:

£3263.98 (nearest penny)

Step-by-step explanation:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

Given:

Substituting given values into the formula and solving for A:

[tex]\implies \sf A=2900(1+\frac{0.03}{1})^{1 \times 4}[/tex]

[tex]\implies \sf A=2900(1.03)^{4}[/tex]

[tex]\implies \sf A=3263.975549[/tex]

Therefore, Colin will have £3263.98 after 4 years (to the nearest penny).

Answer:

$3264

Explanation:

[tex]\sf compound \ interest : P(1+\frac{r}{100} )^n[/tex]  
"P" is principal, "r" is rate of interest, "n" is time (years)

Here given:

After 4 years amount:

[tex]\rightarrow \sf 2900(1+\frac{3}{100})^4[/tex]

[tex]\rightarrow \sf 2900(1.03)^4[/tex]

[tex]\rightarrow \sf 3263.9755[/tex]

[tex]\rightarrow \sf 3264[/tex]  (rounded to nearest whole number)

Answer:

1516

Step-by-step explanation:

hope can help you

2000x 2%=40

9000x 5%= 450

(30000-9000-2000) x 5.4% = 1026

total tas 40+450+1026=

Answer:

Step-by-step explanation:

Remeber range is the difference between the highest and lowest values in a set of numbers.  so 79 right rounded to the nearst tenth the answer will be 80

Answer:

Both of the prism are similar , Then

prism A is 10m and it's surface area is 880m²

Now,

prism B is 3m and it's surface area will be = 264m²

Based on the triangle inequality theorem, the inequality that gives the range of possible values for x is: 4 < x < 20.

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side.

Therefore, the range of values that is possible for x would be:

12 - 8 < x < 12 + 8

4 < x < 20

The inequality is: 4 < x < 20

Learn more about the triangle inequality theorem on:

https://brainly.com/question/309896

#SPJ1

Answer:

See below ....none of your answer choices  'fit'

Step-by-step explanation:

Break it into two pieces....a triangular prism and a square pyramid

prism volume = (area) * length

                      ( 1/2 base * height)     *  length  

     Use pythagorean theorem to find height of triangular prism = 12

                            1/2 * 12 * 9   * 21 = 1134 km^3

Pyramid volume = 1/3 base * height =

               =   1/3  *   (9*21)    *    7 = 441 km^3

Summed = 1575 km ^3          

Answer:

yes

Step-by-step explanation:

the slope stays constant throughout

Answer:

i belive 7

Step-by-step explanation:

becuse 3+6 in one line = 9 so 2 + 7= 9

The volume of the solid will be equal to V=64 Cubic inches.

The space occupied by any solid object in the three-dimension is called as the volume.

Here we have 8 cubes in the solid object each cube has the side equal to 2 inches.

So the volume of one cube will be:

V=a³=2³=8 cubic inches

Since total number of the cubes are 8 so total volume will be:

V=8x8=64 cubic inches

hence the total volume will be equal to 64 cubic inches`

To know more about volume follow

https://brainly.com/question/1972490

#SPJ1

Answer:

  see attached

Step-by-step explanation:

The related function we like to graph is the one that has the solutions as its zeros.

__

Subtract 5 from both sides.

  x² -9 = 0

This is now in the form ...

  f(x) = 0

The related function is then ...

  f(x) = x² -9

and its zeros are the solutions to the original equation. The zeros (x-intercepts) of f(x) are x = -3 and x = 3.

__

Additional comment

The second attachment shows a graph of the given equation. Essentially, its graph is two points on the number line: x = -3 and x = 3.

Answer:

I think it would be 1,000,000.

Step-by-step explanation:

Let's begin with a correction: the verb in question is TO BREATHE; one instance of doing so is the noun BREATH.

12 times per minute; 60 minutes per hour; 24 hours per day; multiplying all of these gives some number of breaths per day.  I'm going to call it B (you can calculate it).

Answer:

Step-by-step explanation:

12 / min

720 / hr

17,280 / day

6,307,200 / yr

Now divide 1,000,000,000 by 6,307,200 and you get 158 years

Answer:To find the mean of a data set, add all the values together and divide by the number of values in the set.

Step-by-step explanation: