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3 years ago

Find the difference : 7 7/8 - 3 1/4 =

1 answer:

6 0

The simplest way to do this is to get it into improper fraction form with the same denominator.
First things first, get it into an improper fraction.

7 7/8 = 7*8+7/8 3 1/4 = 3*4+1/4
= 56+7/8 = 12+1/4
= 63/8 = 13/4

The next thing to do is to get the denominators the same by finding the LCF, which could be done by dividing the 63/8 by 4, which would give a decimal as a numerator, so its best to multiply 13/4 by two
The two fraction will then be:
63/8 and 26/8
Seeing as the denominators are the same, you can simply subtract the numerators and simplify, i.e.
63-26/8 = 37/8
= 4 5/8
Hope this makes sense :D

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C bisects AB. If AC = 8x - 1 and BC = 4x + 19, what is the length of AB?

tensa zangetsu [6.8K]

The length of AB is 78 units.

<h3>What is a Line Segment?</h3>

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure is given below shows a line segment AB , where the length of line segment AB refers to the distance between its endpoints, A and B.

Given that C is the midpoint of AB

AC = 8x - 1 and BC = 4x + 19,

A______________C______________B

⇒ AB = AC+ BC

Since C is the bisects of AB, So AC = BC

⇒ AB = AC+ BC

⇒ AB = 2AC

Substitute the values of If AC = 8x - 1 and BC = 4x + 19,

⇒ 8x - 1 = 4x + 19,

Rearranging the terms in the above equation,

⇒ 8x - 4x = 1 + 19,

⇒ 4x = 20,

⇒ x = 20/4,

⇒ x = 5

So AB = 2AC

⇒ AB = 2(8x - 1) = 16x -2

Substitute the value of x = 5 in the above equation,

⇒ AB = 16(5) -2

⇒ AB = 78

Hence, the length of AB is 78 units.

Learn more about the line segment here:

brainly.com/question/25727583

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8 0

2 years ago

3 parts: List the ratios for using angle A as the angle of reference reduce when necessary

dezoksy [38]

Answer:

$\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20$

Step-by-step explanation:

The sine of an angle in a right triangle is the ratio of the side across from the angle with the hypotenuse of the triangle (the hypotenuse is the side across from the right angle). In this case, the sine of angle A, shortened to $\sin{A}$ , is $21/29$ .

Cosine is short for "complementary sine." If the angles A + C = 90, the cosine of A is equal to the sine of C, since A and C are complementary. So $\cos{A}=\sin{C}=20/29$ . Notice that this ratio is the same as the ratio of the side adjacent to angle A (AB), to the hypotenuse.

The tangent is the ratio of the side opposite an angle to the side adjacent to it. Here, $\tan{A}=21/20$ . So, our trig ratios for this angle are

$\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20$

7 0

3 years ago

What is the value of the expression 8.3 × 104 − 2.5 × 103 − 1.9 × 104 written in scientific notation?

bezimeni [28]

Remark work with the two numbers that are 10^4 first. Then add in the one that goes to 10^3

Method one
You could change these all to integers and then take it back to scientific notation.

83 000
-19 000
64 000
- 2 500
 61 500 <<<<<< answer

Method two
Keep the scientific notation.
8.3 * 10^4
-1.9 * 10^4
6.4 * 10^4
- .25*10^4 Note the powers of ten must be the same.
6.15*10^4 <<<<<<<< answer

Either method works.

You could use your calculator to get the right answer. I'm not sure all calculators retain the scientific notation. Test yours to see what it does. Enter 8.3*10y^x 4 *1 =

Your calculator might have x^y or ^ to record powers. You may also have EE and one of your keys.

See if your calculator returns 8.3*10^4 or if it returns 83000

4 0

3 years ago

Read 2 more answers

Need help with a math question

irina1246 [14]

Answer: 27

Step-by-step explanation:

No. Of juniors: 8

Total students: 30

8/30 x 100 = 26.66

Rounds to (whole percent): 27

6 0

4 years ago

Read 2 more answers

Please help me I have no idea what I’m doing please help me

kondor19780726 [428]

Answer:

The answer is 10.

Step-by-step explanation:

100,000 divided by 10 is 10,000

6 0

3 years ago