What is the measure of the angle between two consecutive vertices of a

Mathematics

1 answer:

Marrrta [24]2 years ago

4 0

Answer:

36 degrees

Step-by-step explanation:

we know that

The measure of the angle between two consecutive vertices of a regular polygon is given by the formula

$\frac{360^o}{n}$

where

n is the number of sides

In this problem

n=10 (regular decagon)

$\frac{360^o}{10}=36^o$

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The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% p

elena-s [515]

Make 2 equations from the question first
x is the number of pints for type 1
y is the number of pints for type 2

The equation
x + y = 120
60% x + 85% y = 65% (x + y)

Solve the equation
From the 2nd equation
0.6x + 0.85y = 0.65(x + y)
0.6x + 0.85y = 0.65x + 0.65y
0.85y - 0.65y = 0.65x - 0.6x
0.2y = 0.05x
y = 4x

From the 1st equation
x + y = 120
x + 4x = 120
5x = 120
x = 24

y = 4x
y = 96

The first type should be 24 pints, the second type should be 96 pints

5 0

3 years ago

What are three powers that have values greater than 500 and less than 550

igomit [66]

Solution:

The three powers whose value is greater than 500 and less than 550 can be find by following procedure.

We will solve this problem by Hit and trial method by finding the squares, cubes, fourth power, Fifth Power,...etc. of different natural numbers.

23²= 529

8³ = 8 × 8 × 8 =512

$2^8=512$