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2 years ago

Solve for x help plz

Mathematics

1 answer:

Alex17521 [72]2 years ago

5 0

Answer:

x = 6√2

Step-by-step explanation:

by ratio of sides for similar triangles

x/24 = 3/x

cross multiply

x² = 72

x = √72 = √36√2 = 6√2

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Please answer this in two minutes

diamong [38]

Answer:

366.6 mm²

Step-by-step explanation:

Step 1: find XY using the Law of sines.

Thus,

$\frac{XY}{sin(W)} = \frac{WY}{sin(X)}$

m < W = 180 - (70+43) (sum of angles in a triangle)

W = 180 - 113 = 67°

WY = 24 mm

X = 43°

XY = ?

$\frac{XY}{sin(67)} = \frac{24}{sin(43)}$

Cross multiply:

$XY*sin(43) = 24*sin(67)$

$XY*0.68 = 24*0.92$

Divide both sides by 0.68 to solve for XY

$\frac{XY*0.68}{0.68} = \frac{24*0.92}{0.68}$

$XY = 32.47$

XY ≈ 32.5 mm

Step 2: find the area using the formula, ½*XY*WY*sin(Y).

Area = ½*32.5*24*sin(70)

Area = ½*32.5*24*0.94

= 32.5*12*0.94

Area = 366.6 mm² (nearest tenth)

6 0

3 years ago

Classify each triangle by its sides.

Free_Kalibri [48]

Answer:

Step-by-step explanation:

None of the sides are equal. Isosceles means that 2 sides are equal. Equilateral means that all sides are equal.

3 0

2 years ago

At a collage bookstore Clara purchased a math textbook and a novel that cost a total of $54 not including tax if the price of th

diamong [38]

Answer:

m+n=54 and m=3n+8 is the system of equations that could be used to determine the price of each book.

Step-by-step explanation:

Given,

Total cost of maths book and novel = $54

Let,

Cost of maths book = m

Cost of novel = n

According to given statement;

m+n=54 Eqn 1

the price of the math textbook, m, is $8 more than 3 times the price of the novel

m = 3n+8 Eqn 2

m+n=54 and m=3n+8 is the system of equations that could be used to determine the price of each book.

Step-by-step explanation:

3 0

3 years ago

Journalists try to use shorter or simpler words in their news stories whenever possible. The box below shows the number of lette

kap26 [50]

The mean, median number and the the outlier of the number of letters in the box is 5, 4.5 and no outlier respectively.

The complete question:

A box contains the numbers 9, 2, 2, 11, 1, 8, 8, 2, 6, 1, 7, 3.

<h3>How to find mean, median and outlier</h3>

Mean = Addition of all numbers ÷ number of digits

= (9 + 2 + 2 + 11 + 1 + 8 + 8 + 2 + 6 + 1 + 7 + 3) ÷ 12

= 60 ÷ 12

= 5

Median = The middle value arranged in ascending or descending order.

In ascending order; 1,1,2,2,2,3,6,7,8,8,9,11

There are two middle number; 6 and 3

Median = (6 + 3) / 2

= 9/2

= 4.5

There is no outlier

Learn more about mean and median:

brainly.com/question/14532771

6 0

2 years ago

Solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.

tatyana61 [14]

Answer: $\large\boxed{\text{No Solution}}$

Step-by-step explanation:

<u>Given equation</u>

$\sqrt{t+1}+9=7$

<u>Subtract 9 on both sides</u>

$\sqrt{t+1}+9-9=7-9$

$\sqrt{t+1}=-2$

<u>Conclusion</u>

$\text{Since radical values are always positive, it is false that }\sqrt{t+1}\text{ will equal to -2}$

$\text{Therefore, it is }{\large\boxed{\text{No Solution}}}\text{ in the context of real numbers}$

Hope this helps!! :)

Please let me know if you have any questions

8 0

1 year ago