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3 years ago

Round off 478 to the nearest hundred

Mathematics

1 answer:

alexandr1967 [171]3 years ago

6 0

Hundreds place is first digit 4
Following digit 7 is greater than 5
Round 4 up to next digit 5
500

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Given sin A = 12/13 and that angle A is in Quadrant 1,

UkoKoshka [18]

We have been given that $\text{sin}(A)=\frac{12}{13}$ and angle A is in quadrant 1. We are asked to find the exact value of $\text{cot}(A)$ in simplest radical form.

We know that sine relates opposite side of right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

This means that opposite side is 12 units and hypotenuse is 13 units.

We know that cotangent relates adjacent side of right triangle with adjacent side.

$\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}$

Now we will find adjacent side using Pythagoras theorem as:

$\text{Adjacent}^2=\text{Hypotenuse}^2-\text{Oppoiste}^2$

$\text{Adjacent}^2=13^2-12^2$

$\text{Adjacent}^2=169-144$

$\text{Adjacent}^2=25$

Let us take positive square root on both sides:

$\sqrt{\text{Adjacent}^2}=\sqrt{25}$

$\text{Adjacent}=5$

Therefore, adjacent side of angle A is 5 units.

$\text{cot}(A)=\frac{5}{12}$

Therefore, the exact value of cot A is $\frac{5}{12}$ .

5 0

3 years ago

A survey of sports fans reveals that 49 say their favorite sport is football, 35 say their favorite sport is baseball, 11 say th

Alex787 [66]

Answer:

9.8

Step-by-step explanation:

Given that a survey of sports fan was conducted counting no of persons whose favourite was football, baseball, basketball and hockey.

Given that 49 like football, 35 baseball, 11 basket ball and 5 hockey

We have to find ratio of football fans to hockey fans.

We find that hockey fans are 5 and football fans are 49

Ratio of football fans to hockey fans =49/5

=9.80

The ratio means if 9.80 football favourite persons are there there would be only one person whose favourite is hockey.

7 0

3 years ago

Which of the following is less than 7/8 and greater than 1/3

Rudiy27

1/2, 2/3, 3/4, 4/5,

7 0

3 years ago

You survey your class and record each students first name, last name, and age. You then make ordered pairs of (first name, age).

ExtremeBDS [4]

Answer: Yes

Step-by-step explanation:

It is a relation because each person will most likely have a different name and you can have plenty of the same outputs just as long as the input doesn't repeat at all.

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3 years ago

Using the distributive property method on 6x32 and 7x29

Maru [420]

$6\cdot32=6(30+2)=(6)(30)+(6)(2)=180+12=192\\\\7\cdot29=7(30-1)=(7)(30)-(7)(1)=210-7=203$

6 0

4 years ago

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