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3 years ago

A piece of string measures 2 16/20. Which of the following is equivalent to the length of the string in meters?

Mathematics

2 answers:

Ivenika [448]3 years ago

7 0

Answer:

H: 2.8

Step-by-step explanation:

first divide 16 by 20 then you get a decimal.

then you add the decimal answer to the whole number (2)

jok3333 [9.3K]3 years ago

3 0

Answer:

H. 2.8

Step-by-step explanation:

Step 1. Divide 16 ( numerator ) by 20 ( denominator )

16 dived by 20 equals to 0.8

Step 2. Add this to 2 ( the whole number )

2 + 0.8 = 2.8

Step 3. The answer: 2 16/20 = 2.8

HOPE THIS HELPS!

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Hey friend please solve this question

Bas_tet [7]

yes and yes.

you're told ∠A=∠B. this means angle A and B are equal. so the value you get for cos A will be the same as the value you'll get for cos B

also, the value you get for tan A will be the same as the value you'll get for tan B

if that doesn't make sense you could also draw the triangle and solve for A and B.

you're told it's a right angled triangle meaning one of the angles = 90

you're told that C is that angle so if C is a right angle, angle C=90

the sum of all the angles in a triangle = 180

so angle A+ angle B + angle C = 180

angle A+ angle B + 90 = 180

angle A+ angle B = 180 - 90

angle A+ angle B = 90

A and B could be any value but you're told angle A = angle B

angle A+ angle B = 90

you can divide 90 by 2 because A and B are equal. that will give you 45 for A and 45 for B

angle A+ angle B = 90

since angle A = angle B,

1. you can substitute angle A with angle B like this

angle B+ angle B = 90

2 angle B = 90

angle B = 90/2

angle B=45; ∴ angle A is also 45 ( because angle A= angle B)

2. or you could substitute angle B with angle A

angle A+ angle A = 90

2 angle A = 90

angle A = 90/2

angle A =45; ∴ angle B is also 45 ( because angle A= angle B)

Now you know what A and B are,

sin A = sin 45; sin B = sin 45

sin 45 = sin 45

tan A = tan 45; tan B = tan 45

tan 45 = tan 45

7 0

2 years ago

A professor has 24 pairs of socks in his drawer. 18 pairs are black and the rest are brown. He always wears black pants. He does

lesya692 [45]

Answer:

The likelihood that the professor's socks matched his pants on both days is 0.5625

Step-by-step explanation:

Total no. of pair of socks = 24

No. of black pairs = 18

We are given that he selects one pair of socks on Monday and one on Tuesday. Since he has lots of clean socks in the drawer he does not do laundry.

So, It is a case of replacement

He always wears black pants.

We are supposed to find he likelihood that the professor's socks matched his pants on both days i.e. Black socks both days.

So ,Probability of wearing black socks on Monday = $\frac{18}{24}$

So ,Probability of wearing black socks on Tuesday = $\frac{18}{24}$

So,the likelihood that the professor's socks matched his pants on both days = $\frac{18}{24} \times \frac{18}{24}=0.5625$

Hence the likelihood that the professor's socks matched his pants on both days is 0.5625

4 0

2 years ago

Solve for x. Explain the steps taken to find the solution. 3/2 + 3x/5 = 9/2 4x/5

Iteru [2.4K]

Answer:

i just got it right

7 0

2 years ago

What is the value of x

goblinko [34]

Answer:

52/3

Step-by-step explanation:

Use basic Thales therom,

$\frac{3x}{4x}=\frac{3x+7}{5x-8}\\\\\frac{3}{4}=\frac{3x+7}{5x-8}\\$

Cross multiply,

3*(5x-8)=4*(3x+7)

3*5x - 3*8 = 4*3x + 4*7

15x - 24 = 12x +28

Add 24 to both sides

15x = 12x + 28 + 24

15x = 12x + 52

Subtract 12x from both sides

15x-12x =52

3x = 52

Divide both sides by 3

x = 52/3

8 0

2 years ago

Which rational exponent represents a square root? A. 1 / 2 B. 3/2 C. 1/3 D. 1/4

Fofino [41]

Answer:

1/2 rational exponent represents a square root.

Therefore, option A is correct.

Step-by-step explanation:

As we know that raising to the one-half power i.e. $\frac{1}{2}$ is the same

as taking the square root.

so $x^{\frac{1}{2}}$ is the same as the square root of $x$ .

For example, taking the square root of 4 will determine:

$4^{\frac{1}{2}}$

$\mathrm{Factor\:the\:number:\:}\:4=2^2$

$4^{\frac{1}{2}}=\left(2^2\right)^{\frac{1}{2}}$

$\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0$

$\left(2^2\right)^{\frac{1}{2}}=2^{2\cdot \frac{1}{2}}$

so the expression becomes

$4^{\frac{1}{2}}=2^{2\cdot \:\frac{1}{2}}$

$=2^1$

$=2$ ∵ $\mathrm{Apply\:exponent\:rule}:\quad \:a^1=a$

so, 1/2 rational exponent represents a square root.

Therefore, option A is correct.

5 0

1 year ago

Read 2 more answers