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Andrews [41]
3 years ago
12

CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION

Mathematics
1 answer:
Murljashka [212]3 years ago
7 0

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.

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Answer:

All real numbers are solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

−2(2x+3)=−4(x+1)−2

Step 1: Simplify both sides of the equation.

−2(2x+3)=−4(x+1)−2

(−2)(2x)+(−2)(3)=(−4)(x)+(−4)(1)+−2(Distribute)

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All real numbers are solutions.

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3 years ago
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he expression is undefined where the denominator equals

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Step-by-step explanation:

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3 years ago
The missing probability value for dr Green
max2010maxim [7]

Answer:

<h2>Your answer would be <em><u>0.34</u></em></h2>

Step-by-step explanation:

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2 years ago
A rectangular tank 60 cm long and 50 cm wide is /5 full of water. When 24 liters of water are added, the water level rises to th
bija089 [108]

Answer:

The tank is 10cm high

Step-by-step explanation:

Given

L=60cm -- length

W=60cm -- width

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The height of the tank

Let y represents the remaining fraction before water is added.

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y + x = 1

Make y the subject

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Solve

y = \frac{5 - 1}{5}

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Represent the volume of the tank with v

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Make v the subject

v = \frac{24L}{y}

Substitute: y = \frac{4}{5}

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Represent the height of the tank with h;

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Make h the subject

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Substitute values for v, l and w

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Convert 30L to cm^3

h = \frac{30*1000cm^3}{60cm * 50cm}

h = \frac{30000cm^3}{3000cm^2}

h = 10cm

8 0
3 years ago
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