All categories

3 years ago

Find the value of x. Round to the nearest tenth. tan 46 = x/12

Mathematics

2 answers:

vredina [299]3 years ago

8 0

Answer: Hello there!

we have the equation tan(46) = x/12

(here I assume that the 46 is in degrees)

and we want to find the value of x.

We need to isolate x on one side of the equation, we can do it by multiplying by 12 in both sides of the equation:

tan(46°)*12 = (x/12)*12 = x

then x = tan(46°)*12 = 12.426

And we want to round it to the nearest tenth.

The tenth is the first number after the decimal point, in this case, is a 4.

To round the number we need to look at the following number, if it is 5 or bigger, we need to round up, if the following number is smaller than 5, we need to round down.

The next number to the 4, is a 2, this means that we need to round down:

this means that the solution is x = 12.4

otez555 [7]3 years ago

5 0

Tan46=x/12
12×tan 46=x
12×1.03=x
0.21255=x

You might be interested in

Need help with the question at the top Thanks

Effectus [21]

First we must find area of a single square.

Meaning we divide total area of 80 centimetres squared by 5 since we have 5 squares in the shape.

$A_{square}=\frac{A_{shape}}{5}=\underline{16}$

Now from the picture we can see that the perimeter of shape is combined by 4 times 3 times the length of side of 1 square.

So we need to find side of 1 square.

$a=\sqrt{A_{square}}=\sqrt{16}=\underline{4}$

As we stated before the formula for perimeter of this shape is:

$P=4(3\cdot a)=4(3\cdot4)=4\cdot12=\boxed{48}$

The perimeter of shape is 48 centimetres.

Hope this helps.

r3t40

8 0

3 years ago

Which of the following is equivalent to 34 · 3-2?

saw5 [17]

34 multiplied by 3 is 102, subtract 2 and your answer is 100.

8 0

3 years ago

Anybody know the answers to this frl it’s due in 15 mins

hammer [34]

Answer:

4. j(11) = 8

I think it is linear

5. g(-3) = 18

No, it's a parabola since x is to the second power

6. f(-7) = 5

No, I think it's an absolute value function

7. h(0) = 13

I think it is linear, just the slope is 0

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Complete the proof....

abruzzese [7]

Answer:

The correct options are;

1. Definition of supplementary angles

2. m∠1 + m∠2 = m∠1 + m∠3

3. m∠2 = m∠3

4. Definition of Congruent Angles

Step-by-step explanation:

The two column proof is presented as follows;

Statement ${}$ Reason

1. ∠1 and ∠2 are supplementary ${}$ Given

${}$ ∠1 and ∠3 are supplementary

2. m∠1 + m∠2 = 180° ${}$ Definition of supplementary angles

${}$ m∠1 + m∠3 = 180°

3. m∠1 + m∠2 = m∠1 + m∠3 ${}$ Transitive Property

4. m∠2 = m∠3 ${}$ Subtraction Property of Equality

5. ∠2 ≅ ∠3 ${}$ Definition of Congruent Angles

Given that angles ∠1 and ∠2 are supplementary angles and angles ∠1 and ∠3 are are also supplementary angles, then the sums of m∠1 + m∠2 and m∠1 + m∠3 are equal, therefore, ∠2 and ∠3 have equal quantitative value and therefore ∠2 = ∠3 and by definition, ∠2 ≅ ∠3.

3 0

3 years ago

Find the distance between the

Dovator [93]

Answer:

$\displaystyle d = \sqrt{29}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Step-by-step explanation:

*Note:

The distance formula is derived from the Pythagorean Theorem.

Step 1: Define

Identify

Point (5, 10)

Point (10, 12)

Step 2: Find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(10 - 5)^2 + (12 -10)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{5^2 + 2^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{25 + 4}$
[√Radical] Add: $\displaystyle d = \sqrt{29}$

7 0

3 years ago