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3 years ago

Which expression is equivalent to 6 + 3 * 4 - 1 / 3

Mathematics

1 answer:

Step2247 [10]3 years ago

3 0

Answer:

12 2/3

Step-by-step explanation:

add the integers to get 6+3 + 4 = 13

Now subtract 1/3

13 = 12 + 1 - 1/3

but one is equal to 3/3

12 + 3/3 - 1/3

12 2/3

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Use triangle ABC drawn below & only the sides labeled. Find the side of length AB in terms of side a, side b & angle C o

Brrunno [24]

Answer:

$AB = \sqrt{a^2 + b^2-2abCos\ C}$

Step-by-step explanation:

Given:

The above triangle

Required

Solve for AB in terms of a, b and angle C

Considering right angled triangle BOC where O is the point between b-x and x

From BOC, we have that:

$Sin\ C = \frac{h}{a}$

Make h the subject:

$h = aSin\ C$

Also, in BOC (Using Pythagoras)

$a^2 = h^2 + x^2$

Make $x^2$ the subject

$x^2 = a^2 - h^2$

Substitute $aSin\ C$ for h

$x^2 = a^2 - h^2$ becomes

$x^2 = a^2 - (aSin\ C)^2$

$x^2 = a^2 - a^2Sin^2\ C$

Factorize

$x^2 = a^2 (1 - Sin^2\ C)$

In trigonometry:

$Cos^2C = 1-Sin^2C$

So, we have that:

$x^2 = a^2 Cos^2\ C$

Take square roots of both sides

$x= aCos\ C$

In triangle BOA, applying Pythagoras theorem, we have that:

$AB^2 = h^2 + (b-x)^2$

Open bracket

$AB^2 = h^2 + b^2-2bx+x^2$

Substitute $x= aCos\ C$ and $h = aSin\ C$ in $AB^2 = h^2 + b^2-2bx+x^2$

$AB^2 = h^2 + b^2-2bx+x^2$

$AB^2 = (aSin\ C)^2 + b^2-2b(aCos\ C)+(aCos\ C)^2$

Open Bracket

$AB^2 = a^2Sin^2\ C + b^2-2abCos\ C+a^2Cos^2\ C$

Reorder

$AB^2 = a^2Sin^2\ C +a^2Cos^2\ C + b^2-2abCos\ C$

Factorize:

$AB^2 = a^2(Sin^2\ C +Cos^2\ C) + b^2-2abCos\ C$

In trigonometry:

$Sin^2C + Cos^2 = 1$

So, we have that:

$AB^2 = a^2 * 1 + b^2-2abCos\ C$

$AB^2 = a^2 + b^2-2abCos\ C$

Take square roots of both sides

$AB = \sqrt{a^2 + b^2-2abCos\ C}$

6 0

3 years ago

The part (aka "is") = 8 and the percent is 42, what is the whole (aka

marysya [2.9K]

Answer:

Step-by-step explanation:

If you simplify what the question is saying, it's basically..

8 is 24% of what number?

To find out, you can simply set up an equation.

((24% = 0.24 as a decimal (move the decimal point two times to the left))

8 = 0.24 x N (N is just the 'whole')

To solve, you just need to divide 8 ÷ 0.24. So, N = 33.333 repeating.

The question says to round to the nearest whole number, so the answer would just be 33.

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2 years ago

Find the value of x. Round to the nearest tenth. X 37 6 X= Enter

Schach [20]

Answer:

Steps:

tan(37°) = 0.75..

tan(37°) = x/6

x/6 = 0.75..

x = 0.75.. × 6

x = 4.52.. ≈ 4.5

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2 years ago

Can someone help me?

qaws [65]

Answer:

Your answer is C. 1/2 (16*6) = 48 square feet

Step-by-step explanation:

The formula to find the area of a triangle is A = b*h/2 (base times height divided by half)

First you need to multiply the base (6) by the height (16).

6*16 is 96.

Now you divide 96 by 2 or cut it in half.

96/2 (or cut in half) is 48.

Therefore your answer is C

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3 years ago

A department store buys 400 shirts at a cost of $9,600 and sell them at a selling price of $30 each.

oksano4ka [1.4K]

Answer: where’s the question? You didn’t write any questions:c

Step-by-step explanation:

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2 years ago

Which expression is equivalent to 6 + 3 * 4 - 1 / 3 ​

Which expression is equivalent to 6 + 3 * 4 - 1 / 3