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3 years ago

9

What is the opposite of 6 on the number line

1 answer:

zlopas [31]3 years ago

4 0

-6. the opposite of any number is the negative or posative. if it is a posative number, the opposite is a nagative, and if it a posative number, the opposite is a negative

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Change 43% into a decimal number

Softa [21]

To make a percent to a decimal, move the decimal to the left 2 times.
43%=0.43

7 0

4 years ago

Last one - Thank you an advance :)

Ivan

Answers:
a. Given
b. Transitive property of congruence
c. Vertical angles are congruent
d. Transitive property of congruence

Let me know if you need any clarification as to how I got those answers. They should be self-explanatory but I'm happy to clarify further if needed.

5 0

3 years ago

Read 2 more answers

Question 3 (Multiples and Factors] Three numbers are given below. Use prime factorisation to determine the HCF and LCM 1848 132

Ilia_Sergeevich [38]

Prime factorization involves rewriting numbers as products

The HCF and the LCM of 1848, 132 and 462 are 66 and 1848 respectively

<h3>How to determine the HCF</h3>

The numbers are given as: 1848, 132 and 462

Using prime factorization, the numbers can be rewritten as:

$1848 = 2^3 * 3 * 7 * 11$

$132 = 2^2 * 3 * 11$

$462 = 2 * 3 * 7 * 11$

The HCF is the product of the highest factors

So, the HCF is:

$HCF = 2 * 3 * 11$

$HCF = 66$

<h3>How to determine the LCM</h3>

In (a), we have:

$1848 = 2^3 * 3 * 7 * 11$

$132 = 2^2 * 3 * 11$

$462 = 2 * 3 * 7 * 11$

So, the LCM is:

$LCM = 2^3 * 3 * 7 * 11$

$LCM = 1848$

Hence, the HCF and the LCM of 1848, 132 and 462 are 66 and 1848 respectively

Read more about prime factorization at:

brainly.com/question/9523814

4 0

2 years ago

John went to a friend’s house to spend his free time in an evening. Which unit of measure should be used to find the distance be

asambeis [7]

Answer:

miles

Step-by-step explanation:

4 0

3 years ago

What is the length of BC , rounded to the nearest tenth?

Arte-miy333 [17]

Step $1$

In the right triangle ADB

<u>Find the length of the segment AB</u>

Applying the Pythagorean Theorem

$AB^{2} =AD^{2}+BD^{2}$

we have

$AD=5\ units\\BD=12\ units$

substitute the values

$AB^{2}=5^{2}+12^{2}$

$AB^{2}=169$

$AB=13\ units$

Step $2$

In the right triangle ADB

<u>Find the cosine of the angle BAD</u>

we know that

$cos(BAD)=\frac{adjacent\ side }{hypotenuse}=\frac{AD}{AB}=\frac{5}{13}$

Step $3$

In the right triangle ABC

<u>Find the length of the segment AC</u>

we know that

$cos(BAC)=cos (BAD)=\frac{5}{13}$

$cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{13}{AC}$

solve for AC

$AC=(13*13)/5=33.8\ units$

Step $4$

<u>Find the length of the segment DC</u>

we know that

$DC=AC-AD$

we have

$AC=33.8\ units$

$AD=5\ units$

substitute the values

$DC=33.8\ units-5\ units$

$DC=28.8\ units$

Step $5$

<u>Find the length of the segment BC</u>

In the right triangle BDC

Applying the Pythagorean Theorem

$BC^{2} =BD^{2}+DC^{2}$

we have

$BD=12\ units\\DC=28.8\ units$

substitute the values

$BC^{2}=12^{2}+28.8^{2}$

$BC^{2}=973.44$

$BC=31.2\ units$

therefore

<u>the answer is</u>

$BC=31.2\ units$

8 0

3 years ago

Read 2 more answers