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faltersainse [42]
3 years ago
8

What is equal to 4/5

Mathematics
2 answers:
nikitadnepr [17]3 years ago
7 0
8/10 is equal to 4/5.

Vika [28.1K]3 years ago
6 0
95% 95% 95% 95% 95% 95%
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Answer: (1,-2) (0,-3)

Step-by-step explanation:

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4n+5= 6n

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Express (sin 67° + cos 75°) in terms of trigonometric ratios of the angle
Furkat [3]

Answer:

cos23 + sin15

Step-by-step explanation:

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3 years ago
Given: ΔАВС, m∠ACB = 90° CD ⊥ AB , m∠ACD = 30°,AD = 8 cm Find: Perimeter of ΔABC
Iteru [2.4K]

Answer:

Perimeter of \triangle ABC is 48+16\sqrt{3}.

Explanation:

Given: In \triangle ABC , \angle ACB = 90^{\circ} , \angle ACD= 30^{\circ}  and AD= 8cm.

In \triangle ADC

Sum of the measure of the angles of triangles is 180 degree.

\angle CAD+\angle CDA+\angle ACD=180^{\circ}

\angle CAD+90^{\circ}+30^{\circ}=180^{\circ} or

\angle CAD+120^{\circ}=180^{\circ}

Simplify:

\angle CAD=60^{\circ}

∵ AD= 8cm and  \angleACD= 30^{\circ} to calculate the length of CD we use tangent ratio i.e,

\tan = \frac{perpendicular}{Adjacent}

then;

\tan 30 = \frac{8}{CD} or

\frac{1}{\sqrt{3}} =\frac{8}{CD}

Simplify:

CD=8\sqrt{3} cm.

Also, find the length of AC, we use sine ratio i.e, \sin=\frac{perpendicular}{Hypotenuse}.

Then,

\sin 30 =\frac{AD}{AC} or

\frac{1}{2} =\frac{8}{AC}

On simplify:

AC=2\times 8 =16cm.

Now, in triangle ABC;

\angle BAC= 60^{\circ} , \angle ACB= 90^{\circ} then

\angle ABC= 30^{\circ}     [Sum of the measure of the angles in the triangle is 180 degree]

To calculate the length of BC;

\tan A = \frac{BC}{AC}     [∴\ tan= \frac{perpendicular}{adjacent} ]

therefore,

\tan 60 = \frac{BC}{16}

or

\sqrt{3}= \frac{BC}{16}

Simplify:

BC=16\sqrt{3}cm.

Using Pythagoras theorem in triangle ACB;

Let BD be x cm

AB = 8+x cm ,  AC = 16 cm and BC=16\sqrt{3} cm

AB^2=AC^2+BC^2

(8+x)^2=(16)^2+(16\sqrt{3} )^2 or

(8+x)^2=256+768=1024 or

8+x=\sqrt{1024} =32

Simplify:

x=24 cm

Therefore, the length of AB = 8+x= 8+24=32 cm

Perimeter(P) of triangle ABC is equal to the sum of the sides of the triangle.

⇒ P= AB+BC+AC = 32+16\sqrt{3} +16=48+16\sqrt{3} cm




4 0
3 years ago
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