Which of the following shapes are congruent?

Answer:

z=4.2ft

x=60 º

y=60 º

Step-by-step explanation:

Because the triangle is equilateral, all sides are the same, so z=4.2

Also because it is equilateral, all angles of the triangle equal 60 º.

Answer:

4.2ft

Step-by-step explanation:

This is an equilateral triangle so all sides and angles will be the same

Answer:B

Step-by-step explanation:

Answer:

T = 8 + 5 + 6

Step-by-step explanation:

Since it took Penelope 8 minutes to drive to the store at a rate of 1 block per minute then that means the store was 8 blocks away. That being the case if she drives back home from the store at 4 blocks every 3 minutes that would mean that she took 6 minutes (4+4 = 8) to get back home. Using this data we can create the following equation model to calculate the total time of the trip.

T = 8 + 5 + 6

Answer:

What is the situaation

Step-by-step explanation:

Answer:

please give situations

Answer:

measure of WZV angle is 50°

Answer:

70.5

Step-by-step explanation:

Answer:

   (-1,-2)*m-(-1)=0

Step-by-step explanation:

Answer:0

Step-by-step explanation:

Because it says rate of change witch don’t have one

Answer: The above Table 1 will calculate the population size (N) after a certain length of time (t). All you need to do is plug in the initial population number (No), the growth rate (r) and the length of time (t). The constant (e) is already entered into the equation. It stands for the base of the natural logarithms (approximately 2.71828). Growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. For humans, population growth rate is based on one year. If a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent. Another way to show this natural growth rate is to subtract the death rate from the birth rate during one year and convert this into a percentage. If the birth rate during one year is 52 per 1000 and the death rate is 12 per 1000, then the annual growth of this population is 52 - 12 = 40 per 1000. The natural growth rate for this population is 40/1000 x 100 = 4%. It is called natural growth rate because it is based on birth rate and death rate only, not on immigration or emigration. The growth rate for bacterial colonies is expressed in minutes, because bacteria can divide asexually and double their total number every 20 minutes. In the case of wolffia (the world's smallest flowering plant and Mr. Wolffia's favorite organism), population growth is expressed in days or hours.

Each wolffia plant is shaped like a microscopic green football with a flat top. An average individual plant of the Asian species W. globosa, or the equally minute Australian species W. angusta, is small enough to pass through the eye of an ordinary sewing needle, and 5,000 plants could easily fit into thimble.

See Straight Pin & Sewing Needle Used In Wayne's Word Articles

There are more than 230,000 species of described flowering plants in the world, and they range in size from diminutive alpine daisies only a few inches tall to massive eucalyptus trees in Australia over 300 feet (100 m) tall. But the undisputed world's smallest flowering plants belong to the genus Wolffia, minute rootless plants that float at the surface of quiet streams and ponds. Two of the smallest species are the Asian W. globosa and the Australian W. angusta. An average individual plant is 0.6 mm long (1/42 of an inch) and 0.3 mm wide (1/85th of an inch). It weighs about 150 micrograms (1/190,000 of an ounce), or the approximate weight of 2-3 grains of table salt. One plant is 165,000 times shorter than the tallest Australian eucalyptus (Eucalyptus regnans) and seven trillion times lighter than the most massive giant sequoia (Sequoiadendron giganteum).

See Photo Of Massive Giant Sequoia Tree

See Photo Of The Australian Wolffia angusta

See Photo Of The Indian Wolffia microscopica

See Additional Color Images Of Wolffia Species

The growth rate for Wolffia microscopica may be calculated from its doubling time of 30 hours = 1.25 days. In the above population growth equation (N = Noe rt), when rt = .695 the original starting population (No) will double. Therefore a simple equation (rt = .695) can be used to solve for r and t. The growth rate (r) can be determined by simply dividing .695 by t (r = .695 /t). Since the doubling time (t) for Wolffia microscopica is 1.25 days, the growth rate (r) is .695/1.25 x 100 = 56 percent. Try plugging in the following numbers into the above table: No = 1, r = 56 and t = 16. Note: When using a calculator, the value for r should always be expressed as a decimal rather than a percent. The total number of wolffia plants after 16 days is 7,785. This exponential growth is shown in the following graph where population size (Y-axis) is compared with time in days (X-axis). Exponential growth produces a characteristic J-shaped curve because the population keeps on doubling until it gradually curves upward into a very steep incline. If the graph were plotted logarithmically rather than exponentially, it would assume a straight line extending upward from left to right.

Sixteen days of exponential growth in Wolffia microscopica.

Wolffia plants have the fastest population growth rate of any member of the kingdom Plantae. Under optimal conditions, a single plant of the Indian species Wolffia microscopica may reproduce vegetatively by budding every 30 hours. One minute plant could mathematically give rise to one nonillion plants or 1 x 1030 (one followed by 30 zeros) in about four months, with a spherical volume roughly equivalent to the size of the planet earth! Note: This is purely a mathematical projection and in reality could never happen!

Step-by-step explanation:

Answer:

49.

Step-by-step explanation: Because 2490 divided by 50 equal 49.8 if you needed.

Answer:

4(5-x)

Step-by-step explanation:

6x-10x+20         4(5-x)

-4x+20                20-4x

and those two are both equivalent

Answer:

17%

Step-by-step explanation:

to find the percentage of something, you have to fill out the following formula:

x/100 = 21.25/125. Basically that is saying that some percent out of 100 is equal to 21.25 out of 125. To solve that, you have to cross multiply:

125x = 2125

then you have to divide, to single out x:

the answer is 17

so it is 17%

Answer:

9m + 16n

Step-by-step explanation:

14m+2n-5m+20m-6n

9m+2n+20n-6n

add like variable

9m + 16n

Answer: 5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

[tex]3\%[/tex] p.a.

Step-by-step explanation:

The formula for simple interest is [tex]I=PRT[/tex] ([tex]I =[/tex] interest, [tex]P =[/tex] principal, [tex]R =[/tex] rate)

First, let's express the interest earned in one and three years:

[tex]I_{1} = PRT_{1}[/tex] (finding the interest earnt in one year)

[tex]I_{1} = \$ 500\times R \times 1[/tex]

[tex]=\$ 500R[/tex]

[tex]I_{2} = PRT_{2}[/tex] (finding the interest earnt in three years)

[tex]I_2 = \$ 500 \times R \times 3[/tex]

[tex]=\$ 1500R[/tex]

From the information "The difference between the total interest earned after 3 years and the total interest earned after 1 year is $30", we can write:

[tex]I_{2}-I_{1} = \$ 30[/tex]

[tex]\$ 1500R - \$500 R = \$ 30[/tex]

[tex]\$ 1000R = \$ 30[/tex]

[tex]R = 0.03[/tex]

[tex]=3\%[/tex] p.a.

∴ The annual interest rate is [tex]3\%[/tex]

Hope this helps :)

The annual interest rate if You deposit $500 in an account that earns simple interest. The difference between the total interest earned after 3 years and the total interest earned after 1 year is $30 is 3%.

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

The principal amount, P = $500,

Time, t = 1 year and T = 3 year,

Calculate the interest by the formula given below,

[tex]SI = P\times R\times T / 100[/tex]

Here, SI is the simple interest.

So for 1 year time,

Substitute the values,

SI = 500 × R × 1 / 100

SI = 5R

Now for 3 year

SI = 15R

But 15R - 5R = 30 (Given in question)

R = 3%

Therefore, the annual interest rate if You deposit $500 in an account that earns simple interest. The difference between the total interest earned after 3 years and the total interest earned after 1 year is $30 is 3%.

To know more about interest:

https://brainly.com/question/29222674

#SPJ2

Answer:

hi there

-6

Step-by-step explanation:

x=-6

Final Answer: [tex]x = -6[/tex]

Steps/Reasons/Explanation:

Question: What is [tex]\frac{1}{3} (x + 15) = 3[/tex]?

Step 1: Simplify [tex]\frac{1}{3}(x + 15)[/tex] to [tex]\frac{x+15}{3}[/tex].

[tex]\frac{x + 15}{3} = 3[/tex]

Step 2: Multiply both sides by [tex]3[/tex].

[tex]x + 15 = 3[/tex] × [tex]3[/tex]

Step 3: Simplify [tex]3[/tex] × [tex]3[/tex] to [tex]9[/tex].

[tex]x + 15 = 9[/tex]

Step 4: Subtract [tex]15[/tex] from both sides.

[tex]x = 9 - 15[/tex]

Step 5: Simplify [tex]9 - 15[/tex] to [tex]-6[/tex].

[tex]x = -6[/tex]

~I hope I helped you :)~

Answer:

2526.618

Step-by-step explanation:

To find the are of a circle you do r π²

So, 16 x π = 50.265, then 50.265² is 2526.618

Answer: bottom one I think

Step-by-step explanation:

Answer:

First space:1000

Second space:1.1

Third space11000

Step-by-step explanation:

Answer:

is there a picture of it

Answer:

1) Weed-Hand (the 3rd option)

2) y=63x (the 2nd chose option)

3) $1,512.00 ( the 1st option)

Step-by-step explanation:

i just did it on Edg. i hope this was helpful

Answer:

1) Weed-Hand (the 3rd option)

2) y=63x (the 2nd chose option)

3) $1,512.00 ( the 1st option)

Step-by-step explanation:

Answer:

10.60 inches

Step-by-step explanation:

18.45

-7.85

_____

10.60 inches

Answer:

[tex]9x- 60=10[/tex]

Step-by-step explanation:

Given

[tex]\frac{3}{4}x - 5 = \frac{5}{6}[/tex]

Required

Rewrite to remove fractions

The denominators in the above expression are 4 and 6.

So, first we take the LCM of 4 and 6

[tex]LCM = 12[/tex]

Next, multiply both sides of the equation by this LCM (12)

[tex]12 ( \frac{3}{4}x - 5) = \frac{5}{6} * 12[/tex]

[tex]12 * \frac{3}{4}x - 12 *5 = \frac{5}{6} * 12[/tex]

[tex]3 * 3x- 60=5 * 2[/tex]

[tex]9x- 60=10[/tex]

Answer:

$481.50

Step-by-step explanation:

(7/100)*(450)=31.50

31.50+450=481.50

Answer:

The result would be 2 > 1 because when you divide both sides, the < has to be flipped around

Answer:

y=5/4x

Step-by-step explanation:

First, take two points from the line. For example, I'll take (4,5) and (-4,-5)

The equation for slope (m) is (y2-y1)/(x2-x1)

let's label the points

x1=4

y1=5

x2=-4

y2=-5

now substitute into the equation:

m=(-5-5)/(-4-4)

m=-10/-8

m=5/4

Next, let's use point slope form, which is y-y1=m(x-x1)

Substitute x1, y1, and m

y-5=5/4(x-4)

y-5=5/4x-5

add 5 to both sides

y=5/4x

Hope this helps!

Answer: 45

Length is how long something is  and the triangle shows 45 as the length

Answer:

-120

Step-by-step explanation:

-5(4)=-20

-20(-2)=40

40(-3)=-120

Answer:

there are a total of 120 + 96 = 216, 5 digit numbers divisible by '3' that can be formed using the digits 0 to 5.