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3 years ago

Given that x = 7.4 m and 0 = 26°, work out AB rounded to 3 SF.

Mathematics

1 answer:

Vladimir [108]3 years ago

7 0

Answer:

3.24m

Step-by-step explanation:

SOH

sin(26)=O/7.4

O=7.4 sin(26)

O=3.24 (3sf)

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Select the correct answer.

ratelena [41]

Answer:

A. $x(x+12) -7(x+12)$

Step-by-step explanation:

Factoring is the process of taking common terms out of an expression such that one can represent the expression as the result of smaller values. When given the following expression:

$x^2 +5x - 84$

First, represent the linear term as the sum of two terms such that each term shares a common factor with the other terms in the expression.

$x^2 +12x - 7x - 84$

Now take out the common factors,

$x(x+12) -7(x+12)$

Thus, the correct option is choice (A).

5 0

3 years ago

MAD of 16, 13, 22, 15, 20, 21, 19

Mrrafil [7]

Answer:

2.8571428571429

Step-by-step explanation:

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4 years ago

Write the following numbers in order from least to greatest,

PIT_PIT [208]

Answer: D

Step-by-step explanation:

Look at the exponents first and order them from least to greatest

5 0

4 years ago

Select the correct answer.

andrew-mc [135]

Answer:

OPTION C

Step-by-step explanation:

We have the following rules:

$\sqrt[a]{x} = x^{\frac{1}{a}$ and

$x^a . x^b = x^{a + b}$

OPTION A: $x \sqrt[7]{x}$

= $x . x^{\frac{1}{7}$

= $x^{1 + \frac{1}{7}$

$= x^{\frac{8}{7}$ $\ne x^{\frac{9}{7}$

So, it can be eliminated.

OPTION B: $\bigg ( \frac{1}{\sqrt[7]{x}} \bigg )^9$

= $\bigg ( \frac{1}{x^{\frac{1}{7}}} \bigg )^9$

= $\bigg ( x^ {\frac{-1}{7}} \bigg )^9$

= $x^{\frac{-9}{7}}$

So, this option is also eliminated.

OPTION C: $x . \sqrt[7]{x}$

= $x . x^{\frac{1}{7}}$

= $x^{1 + \frac{1}{7}}$

= $x^{\frac{9}{7}}$

So, OPTION C is the answer.

5 0

3 years ago

Need help filling in the blanks: selling price using markup.

Xelga [282]

Answer:

Refer to the explanation.

Step-by-step explanation:

Let's take each one at a time.

To solve for the complement, we simply subtract our markup rate by 100%.

100% - 30% = 70%

Now to solve for the selling price, we use the formula

$SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}$

$SellingPrice=\dfrac{86.74}{0.70}$

Selling Price = $123.91

We do the same process with the first number.

100% - 40% = 60%

$SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}$

$SellingPrice=\dfrac{220.00}{0.60}$

SellingPrice = $366.67

The same as the first two.

100% - 20% = 80%

$SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}$

$SellingPrice=\dfrac{89.50}{0.80}$

SellingPrice = $111.88

Now to solve for the markup rate, we use the formula:

$MarkupRate=\dfrac{Markup}{SelingPrice}$

In this case we first need to find the markup. The markup is the difference between the selling price and the cost.

Selling Price = $235.28

Cost = $199.99

Markup = $235.28 - $199.99

Markup = $35.29

Now the we know our markup, we can then solve for the markup rate using the formula.

$MarkupRate=\dfrac{Markup}{SelingPrice}$

$MarkupRate=\dfrac{35.29}{235.28}$

MarkupRate = 0.1499 x 100 = 14.99% or 15%

Now for the last one, we need to find for the cost. Let's use the selling price formula to find for the cost.

$SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}$

Selling Price = $30.77

Complement = 65% or 0.65

This will then give us.

$30.77=\dfrac{Cost}{0.65}$

We multiple both sides of the equation by 0.65 to leave our cost alone.

30.77 x 0.65 = Cost

Cost = $20

4 0

3 years ago