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2 years ago

The diagram shows a regular pentagon with centre 0. Work out the size of angle x.

Mathematics

1 answer:

kherson [118]2 years ago

6 0

Step-by-step explanation:

1. Use exterior angles (each adds up to 360) to find interior angles

2. Add this together

3.Take it away from 360

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What is the median of the data set? {50, 54, 62, 48, 49, 52} plz help

Stella [2.4K]

Q1=49
Median=51
Q3=54

if i'm not wrong

3 0

3 years ago

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In The autumn 40% of the leaves on a tree are yellow and 24% of them are green the remaining 72 leaves are half yellow how many

Charra [1.4K]

Percentage of yellow leaves on a tree during Autumn = 40%

Percentage of green leaves on a tree during Autumn = 24%

Percentage of half yellow leaves on the tree during Autumn :

$= \tt100 - 40 + 24$

$= \tt 100 - 64$

$= \tt 36 \%$ Thus, the percentage of half yellow leaves on the tree during Autumn = 36%

Number of half yellow leaves on the tree = 36%

Let the total number of leaves on the tree be x.

Which means :

$= \tt36 \% \: of \: x = 72$

$= \tt \frac{36}{100} \times x = 72$

$= \tt \frac{36 \times x}{100} = 72$

$= \tt \frac{36x}{100} = 72$

$= \tt 36x = 72 \times 100$

$= \tt36x = 7200$

$= \tt x = \frac{7200}{36}$

$\color{plum} = \tt \: x = 200$

Thus, total number of leaves on the tree = 200

Number of yellow leaves on the tree :

$= \tt40 \% \: \: of \: \: 200$

$= \tt \frac{40}{100} \times 200$

$= \tt \frac{40 \times 200}{100}$

$= \tt \frac{8000}{100}$

$\color{plum} \tt = 80 \: yellow \: \: leaves$

Thus, total number of yellow leaves on the tree = 80

Number of green trees on the tree :

$= \tt24 \% \: \: of \: \: 200$

$= \tt \frac{24}{100} \times 200$

$= \tt \frac{24 \times 200}{100}$

$= \tt \frac{4800}{100}$

$\color{plum} = \tt 48 \: green \: \: leaves$

Thus, the total number of green leaves on the tree = 48

Since the sum of all types of leaves form 200[80+48+72=200], we can conclude that we have found out the correct number of each type of leaf.

▪︎Therefore, the total number of leaves on the tree = 200

3 0

2 years ago

Please answer this for me :)

atroni [7]

Answer:

d = 1.5

Step-by-step explanation:

yes

8 0

3 years ago

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(Show your working) I uploaded the question

svlad2 [7]

x^2 = the first integer

(x - 1)^2 = the second integer.

x^2 - (x - 1)^2 = ?

First, let's plug a number into our equation for x.

(2)^2 - (2 - 1)^2 = ?

4 - (1)^2 = ?

4 - 1 = 3

As we can see the difference is odd but it's also the sum of the two consecutive integers.

2 + 1 = 3.

This works for all numbers. Let's plug another number into our equation for x.

(4)^2 - (4 - 1)^2 = ?

16 - (3)^2 = ?

16 - 9 = 7

4 + 3 = 7

Try any number and it will always be odd.

4 0

2 years ago

Charlene is knitting a baby blanket. She wants its width, w, to be at least half its length, l. She estimates that she has enoug

zepelin [54]

Answer:

W > 0.5L

Perimeter:

2L + 2W < 180

2L + 2(0.5L) < 180

2L + 1L < 180

3L < 180

÷3 ÷3

L < 60

Length should be less than or equal to 60 inches while width should be greater than or equal to 30 inches.

4 0

2 years ago

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