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4 years ago

3/18 =4x/7 solve the proportion by using cross products.

Mathematics

1 answer:

miv72 [106K]4 years ago

5 0

3/18 = 4x/7

3/18 reduces to 1/6

multiply both sides to get 4x = 1/6*7

1/6* 7 = 1/6*7/1=7/6

4x = 7/6

now divide 7/6 by 4 to get x

x = 7/6 / 4/1 = 7/6 * 1/4 = 7/24

x = 7/24

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the sides of a rectangle are 25 cm and 8 cm. what is the measure, to the nearest degree, of the angle formed by the short side a

ycow [4]

Answer:

72°

Step-by-step explanation:

The lengths 25 cm and 8 cm are the sides of the rectangle.

See the attached diagram of rectangle ABCD.

Now, let us assume the diagonal AC makes x° angle with the shorter side BC i.e.∠ BCA = x°

So, using trigonometry we can write

$\tan x = \frac{AB}{BC} = \frac{25}{8} = 3.123$

⇒ $x = \tan ^{-1} (3.125) = 72.25$ degrees ≈ 72 degrees {Rounded to nearest degree} (Answer)

8 0

3 years ago

Genuinely confused rn

frosja888 [35]

Using it's concept, it is found that the probability that he winds up wearing the white shirt and tan pants is of $\frac{1}{8}$ .

<h3>What is a probability?</h3>

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

For the shirt, there is 4 outcomes, hence the probability of the white shirt is 1/4.

For the pair of pants, there are 2 outcomes, blue or tan, hence the probability of tan pants is 1/2.

Since the shirt and the pants are independent, the probability is given by:

$p = \frac{1}{4} \times \frac{1}{2} = \frac{1}{8}$ .

More can be learned about probabilities at brainly.com/question/14398287

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8 0

2 years ago

Tamara and Clyde got different answers when dividing 2x4 + 7x3 – 18x2 + 11x – 2 by 2x2 – 3x + 1. Analyze their individual work.

lys-0071 [83]

Note: As you may have unintentionally missed to add the different answers, based on which we had to check who solved correctly between Tamara and Clyda's work.

But, I am actually solving the expression and you must note that whoever (between Tamara and Clyda's work) may have got the same answer or match the answer with mine, would be the one who solved correctly.

Answer:

We conclude that whoever (between Tamara and Clyda's work) may have got the answer as $x^2+5x-2$ after dividing $2x^4\:+\:7x^3\:-\:18x^2\:+\:11x\:-\:2$ by $2x^2\:-\:3x\:+\:1$ , would be the one who solved it correctly.

Step-by-step explanation:

Considering the expression

$2x^4\:+\:7x^3\:-\:18x^2\:+\:11x\:-\:2$

Lets divide the expression by $2x^2\:-\:3x\:+\:1$

Solution Steps:

$\frac{2x^4+7x^3-18x^2+11x-2}{2x^2-3x+1}$

Factorizing

$2x^4+7x^3-18x^2+11x-2:\quad \left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)$

$\frac{\left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)}{2x^2-3x+1}$

Factorizing

$2x^2-3x+1:\quad \left(2x-1\right)\left(x-1\right)$

$\frac{\left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)}{\left(2x-1\right)\left(x-1\right)}$

$\mathrm{Cancel\:}\frac{\left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)}{\left(2x-1\right)\left(x-1\right)}:\quad x^2+5x-2$

$x^2+5x-2$

Thus,

$\frac{2x^4+7x^3-18x^2+11x-2}{2x^2-3x+1}=x^2+5x-2$

Therefore, we conclude that whoever (between Tamara and Clyda's work) may have got the answer as $x^2+5x-2$ after dividing $2x^4\:+\:7x^3\:-\:18x^2\:+\:11x\:-\:2$ by $2x^2\:-\:3x\:+\:1$ , would be the one who solved it correctly.

Keywords: expression, division

Learn more about expression division from brainly.com/question/1575482

#learnwithBrainly

3 0

3 years ago

Read 2 more answers

I need help please explain your work for number 7 only

Keith_Richards [23]

Answer:

Transitive property

Step-by-step explanation:

When a=c and b=c, a=b

A would be 16+43

B would be 59

C would be 10+49

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2 years ago

Which is greater, -9/20 or -0.5?

Natali5045456 [20]

Answer and Step-by-step explanation:

If we put $-\frac{9}{20}$ into decimal form, we get -0.45.

-0.45 is greater than -0.5, so,

$-\frac{9}{20}$ is greater than -0.5.

#teamtrees #PAW (Plant And Water)

3 0

3 years ago