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2 years ago

How do you work this out?

Mathematics

1 answer:

Katarina [22]2 years ago

5 0

Because ABCD is a rectangle, the length of CD is 12 cm.

We need to determine the length of DE. If we can do that, then the sum of the lengths of CD and DE represents the unknown: the length of CE.

To find the length of CE, we have to "solve" the upper triangle.

Here's an outline of what to do:

1. Show that BC=AD and find the length.
2. Note that angle CAD is 60 degrees. Why?
3. Note that angle EAD is 30 degrees. Why?
4. Find the length of ED
5. Add ED and DC, that is, ED + 12 cm. This is your answer.

Please ask questions if need be.

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The mean of six numbers is 45. Four of the numbers are 40, 38, 46, and 51. If the remaining two numbers are I. The ratio of 2:3,

Advocard [28]

Answer:

The numbers are 38 and 57

Step-by-step explanation:

Let

x-----> the missing smaller number

y----> the missing larger number

we know that

$45=\frac{40+38+46+51+x+y}{6} \\ \\270=175+x+y$

$x+y= 95$ -----> equation A

$\frac{x}{y}=\frac{2}{3}$

$x=\frac{2}{3}y$ -----> equation B

substitute equation B in equation A and solve for y

$\frac{2}{3}y+y= 95$

$\frac{5}{3}y= 95$

$y=95*3/5=57$

Find the value of x

$x=\frac{2}{3}(57)=38$

8 0

3 years ago

Please help 25 points

algol13

Answer:

(-1,5)

(3, 1/125)

Step-by-step explanation:

g(x) = (1/5) ^x

Lets check the points

(1,0)

0 = (1/5) ^1

0 = 1/5 False this is not on the graph

(-1,5)

5 = (1/5) ^ -1

Remember negative exponents flip the fraction inside the parentheses

5 = 5/1 True this is on the graph

(3, 1/125)

1/125 = (1/5)^ 3

1/125 = 1^3/ 5^3

1/125 = 1/125 true this is on the graph

(-2,1/25)

1/25 = (1/5) ^-2

Remember negative exponents flip the fraction inside the parentheses

1/25 = 5^2/1^2

1/25 = 25 false this is not on the graph

4 0

3 years ago

Which number produces a rational number when multiplied by 0.5

Blababa [14]

There are many. For example, 32 x 0.5 is 16. You can multiply 4 x 4 to get 16, so it is rational.

5 0

3 years ago

Which table represents a linear function

Vilka [71]

Table D represents a linear function.

4 0

3 years ago

A scientist has started a bacteria culture with 1,000 cells. The cells will double every hour. 1. Write the sequence that repres

babymother [125]

Answer:

See below in bold.

Step-by-step explanation:

1. The sequence is 1000, 2000, 4000, 8000.

2. The common ratio is 2000/1000 = 2.

3. Number of bacteria after 7 hours is 1000(2)^(7- 1)

= 64,000.

4. 1000(2)^(x-1) > 1,000,000

2^x-1 > 1000

x- 1 log 2 > log 10

x- 1 > 9.96

x > 10.96

During the 11th hour.

8 0

3 years ago