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3 years ago

The three angles of a triangle are in the ratio 5:4:1. Find all the angles of the triangle.

Mathematics

2 answers:

mixas84 [53]3 years ago

7 0

Answer:

18°, 72°, 90°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the parts of the ratio, 5 + 4 + 1 = 10 parts

divide to find the value of one part of the ratio

180° ÷ 10 = 18° ← value of 1 part of the ratio , thus

5 parts = 5 × 18° = 90°

4 parts = 4 × 18° = 72°

Thus the angles of the triangle are 18°, 72° and 90°

solniwko [45]3 years ago

6 0

Answer:

Step-by-step explanation:

let the first angle be 5x

second be 4x

and third be 1x

as we know that by adding all the sides of triangle we get 180°

therefore ,

5x+4x+1x=180°

10x=180°

hence ,

x=18°

first angle - 18*5 = 90°

second angle - 18*4=72°

third angle - 18°

HOPE THIS HELPS YOU !!!

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Classify the number 5.923076923076

Temka [501]

Option C

5.923076923076 is real and rational number

<em><u>Solution:</u></em>

Given number is 5.923076923076

We have to classify the number

Let us first understand about irrational, real, whole, integer and rational numbers

<h3><u><em>Whole numbers: </em></u></h3>

Whole numbers are positive numbers, including zero, without any decimal or fractional parts. Negative numbers are not considered "whole numbers."

But the given number 5.923076923076 has decimal part

So it is not a whole number

<h3><u><em>Real numbers: </em></u></h3>

Positive or negative, large or small, whole numbers or decimal numbers are all Real Numbers. They are called "Real Numbers" because they are not Imaginary Numbers.

The given number 5.923076923076 has decimal part, so it is real number

<h3><u><em>Integers: </em></u></h3>

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043

Every integer can be expressed as a decimal, but most numbers that can be expressed as a decimal are not integers. If all the digits after the decimal point are zeroes, the number is an integer. If there are any non-zero digits after the decimal point, the number is not an integer.

So the given number 5.923076923076 has non zero digits after decimal point

Thus 5.923076923076 is not a integer

<h3><u><em>Irrational number:</em></u></h3>

An irrational number is real number that cannot be expressed as a ratio of two integers.

When an irrational number is expressed in decimal form, it goes on forever without repeating

But the given number 5.923076923076 has repeating digits after decimal point

So it is not a irrational number

<h3><em><u>Rational number:</u></em></h3>

A rational number is a number that can be expressed as a fraction (ratio) in the form $\frac{p}{q}$ where p and q are integers and q is not zero.

When a rational number fraction is divided to form a decimal value, it becomes a terminating or repeating decimal.

But the given number 5.923076923076 has repeating digits after decimal point

5.923076923076 ⇒ $5.923076 \underline{923076}$

So we can clearly observe that 923076 is repeating in decimal point

So the given number is rational number

<em><u>We can conclude that:</u></em>

5.923076923076 is real and rational number. Option C is correct

6 0

3 years ago

At the sewing store, Natalie bought a bag of mixed buttons. The bag included 15 buttons, of which 40% were large. How many large

Lana71 [14]

Answer:

Step-by-step explanation:

The bag included 15 buttons, of which 40% were large means 40% of 15

40% = 40/100 = 2/5 = 0.4

Of = multiply

40% of 15 = 0.4 * 15

0.4 * 15 = 6

The answer is 6 large buttons

Hope this helps :)

Have an awesome day!

6 0

2 years ago

Add one term to the polynomial expression 14x^19 - 9x^15 + 11x^4 + 5x^2 + 3 to make it into a 22nd degree polynomial

GuDViN [60]

Given:

The polynomial is

$14x^{19}-9x^{15}+11x^4+5x^2+3$

To find:

One term which is used to add in given polynomial to make it into a 22nd degree polynomial.

Solution:

Degree of a polynomial is the highest power of the variable.

Let,

$P(x)=14x^{19}-9x^{15}+11x^4+5x^2+3$

Here, the highest power of x is 19, so degree of polynomial is 19.

To make it into a 22nd degree polynomial, we need to need a term having 22 as power of x.

We can add $kx^{22}$ , where k is constant.

So add $x^{22}$ in the given polynomial.

$P(x)=x^22+14x^{19}-9x^{15}+11x^4+5x^2+3$

Now, the degree of polynomial is 22.

Therefore, the required term is $x^{22}$ .

7 0

3 years ago

Is 3.1 greater than 3 3/10

qaws [65]

Answer:

no, 3 3/10 is greater

Step-by-step explanation:

3.1 = 3 1/10 which is less than 3 3/10

6 0

3 years ago

Read 2 more answers

Which statement makes the open sentence 3x+20=5x+6 true? x=13 x=2 x=4 x=7

krok68 [10]

3x+20=5x+6
-3x -3x

20 = 2x + 6
-6 -6

2x = 14
2x/2 = 14/2
x = 7

Answer: x = 7

3 0

3 years ago