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1 year ago

See photo, it’s got to do with Pythagoras theorem but I don’t understand. Please help

Mathematics

2 answers:

avanturin [10]1 year ago

6 0

Answer:

12.0 cm

Step-by-step explanation:

See attached image for steps. Take the figure and convert it into a rectangle and right triangle by drawing a single line. The Pythagorean Theorem can then be used.

liraira [26]1 year ago

3 0

<u>Answer:</u>

x = 12.0 cm

<u>Step-by-step explanation:</u>

If we draw a line parallel to the 12 cm line right below the line x, a right-angled triangle is formed, with x as the hypotenuse and the shortest side equal to (8 - 7 = ) 1 cm.

∴ x² = 12² + 1²

⇒ x = $\sqrt{12^2 + 1^2}$

⇒ x = $\sqrt{144 + 1}$

⇒ x = $\sqrt{145}$

⇒ x = 12.0 cm [3 s.f.]

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Luden [163]

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Then, find the are or the two shapes using the area formula for a semicircle ( $\frac{ \pi r^{2} }{2}$ ) and the are formula for a rectangle (base x height)
Finally, add the two areas together and you have your answer

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2 years ago

CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION

Murljashka [212]

Answer:

The value of DC is 66.34.

Step-by-step explanation:

The triangles ABC and DCA are right angled triangles.

The straight line AC is a bisector for angles C and A.

The measure of ∠C is 30°.

Then the measure of angles BCA and ACD will be 15° each.

The measure of angle DAB is 150°.

Then the measure of angles DAC and BAC will be 75° each.

Now consider the right angled triangle ABC.

The measure of side AC is:

$AC^{2}=AB^{2}+BC^{2}\\AC=\sqrt{AB^{2}+BC^{2}}\\=\sqrt{4^{2}+(10\sqrt{3})^{2}}\\=\sqrt{316}$

Consider the right angled triangle DCA.

The angle DAC measure 75°.

Using the trigonometric identities compute the value of Perpendicular DC as follows:

$tan\ 75^{o}=\frac{DC}{\sqrt{316}}\\\\DC=3.732\times\sqrt{316}\\\\DC=66.34$

Thus, the value of DC is 66.34.

7 0

2 years ago

Given:B is the midpoint of AC. Complete the statement. If AB = 7,then BC = _____, and AC = ____.

Alex73 [517]

Midpoint

We know AC is a segment and B is its midpoint. This means the length of the segment AB is half the length of the segment AC. This also means the length of the segment BC is half the length of AC, and equal to AB.

This can be visualized as follows:

Since AB=7, then BC = 7 and AC=AB+BC = 14

Answer: BC = 7, and AC=!4

5 0

2 months ago

The basketball boosters are selling school t-shirts for 20 dollars and pants for 45 dollars. Last week they sold 100 items and c

lana66690 [7]

He sold 76 shirts and 24 pants.

Step-by-step explanation:

Given,

Cost of one t-shirt = $20

Cost of one pants = $45

Total items sold = 100

Total sales = 2600

Let,

x be the number of t-shirts

y be the number of pants

According to given statement;

x+y=100 Eqn 1

20x+45y=2600 Eqn 2

Multiplying Eqn 1 by 20

$20(x+y=100)\\20x+20y=2000\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(20x+45y)-(20x+20y)=2600-2000\\20x+45y-20x-20y=600\\25y=600$

Dividing both sides by 25

$\frac{25y}{25}=\frac{600}{25}\\y=24$

Putting in Eqn 1

$x+24=100\\x=100-24\\x=76$

He sold 76 shirts and 24 pants.

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly

3 0

2 years ago

Is this correct? If not, please tell me the correct answer!!!

White raven [17]

Answer:

That is correct

Step-by-step explanation:

180° rotation about origin just means that you have to flip the pre-existing image across the x-axis

Good job!

3 0

3 years ago