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3 years ago

What is the area of a quadrilateral ABCD, if AB = 5 cm, BC = 13 cm, CD = 9 cm, DA = 15 cm, AC = 12 cm?

1 answer:

4 0

ABCD is a quadrilateral with angle ABC a right angle. The point D lies on the perpendicular bisector of AB. The coordinates of A and B are (7, 2) and (2, 5) respectively. The equation of line AD is y = 4x − 26. find the area of quadrilateral ABCD

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A skull cleaning factory cleans animal skulls and other types of animals using flesh eating Beatles. The factory owner started w

shtirl [24]

Complete question is;

A skull cleaning factory cleans animal skulls and other types of animals using flesh eating Beatles. The factory owner started with only 13 adult beetles.

After 35 days, the beetle population grew to 26 adult beetles. How long did it take before the beetle population was 13,000 beetles?

Answer:

349 days.

Step-by-step explanation:

We are given;

Initial amount of adult beetles; A_o = 13

Amount of adult beetles after 35 days; A_35 = 26

Thus can be solved using the exponential formua;

A_t = A_o × e^(kt)

Where A_t is the amount after time t, t is the time and k is a constant.

Plugging in the relevant values;

26 = 13 × e^(35k)

e^(35k) = 26/13

e^(35k) = 2

35k = In 2

35k = 0.6931

k = 0.6931/35

k = 0.0198

Now,when the beetle population is 12000,we can find the time from;

13000 = 13 × e^(k × 0.0198)

e^(k × 0.0198) = 13000/13

e^(k × 0.0198) = 1000

0.0198k = In 1000

0.0198k = 6.9078

k = 6.9078/0.0198

k ≈ 349 days.

5 0

3 years ago

What is x equal to: 3x=1

Verdich [7]

Answer:

x = $\frac{1}{3}$

Step-by-step explanation:

Step 1: Solve

We can divide 3 from both sides to get "x" by itself

$3x=1\\\frac{3x}{3} =\frac{1}{3} \\x = \frac{1}{3}$

Therefore x = $\frac{1}{3}$

5 0

3 years ago

Read 2 more answers

The formula for the size of a file that was downloaded over time t and at an average rate r is r.t.

lakkis [162]

Answer:

The size of file downloaded is 88 megabytes.

Step-by-step explanation:

Given that:

Average rate of downloading the file = $r$

Time taken to download = $t$

Formula for the size of file downloaded = $r.t$

Rate of downloading, $r = 800\ kilobytes/sec$

Time taken, $t$ = 110 seconds

To find:

Size of file downloaded in megabytes = ?

Solution:

First of all, let us apply the given formula to find the size of file downloaded:

Size of file downloaded = $r.t$

Size of file downloaded = 800 kilobytes seconds $\times$ 110 seconds =

88000 kilobytes.

Now, let us convert the unit kilobytes to megabytes to find the answer.

Conversion formula:

1000 kilobytes = 1 megabyte

Let us use unitary method to find the number of megabytes in 88000 kilobytes.

1 kilobytes = $\frac{1}{1000}$ megabytes

88000 kilobytes = $\frac{1}{1000} \times$ 88000 megabytes

$\Rightarrow$ 88 megabytes.

Therefore, the size of file downloaded is 88 megabytes.

5 0

3 years ago

How do I find the area for this?

Olegator [25]

Answer: when u doing area know you are multiplying hope i help

Step-by-step explanation:

3 0

3 years ago

Solve the equation for x.

valentina_108 [34]

Answer:

Solve for

by simplifying both sides of the equation, then isolating the variable.

Exact Form:

5 /4

Decimal Form:

1.25

Mixed Number Form:

1 1/4

Step-by-step explanation:

THE ANSWER IS C

4 0

2 years ago