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ivanzaharov [21]
3 years ago
13

!!20 POINTS!! BRAINLIEST TO CORRECT ANSWER!!

Mathematics
2 answers:
guapka [62]3 years ago
7 0

Answer:

c

Step-by-step explanation:

27:81

= 27/81

=3/9

=3:9

it could be reduced to 1:3 but because the alternatives does not include, it 3: 9

please reward me by marking me as the brainliest.

d1i1m1o1n [39]3 years ago
3 0

Answer:

3:9

Step-by-step explanation:

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Looking at the top of tower A and base of tower B from points C and D, we find that ∠ACD = 60°, ∠ADC = 75° and ∠ADB = 30°. Let t
katrin2010 [14]

Answer:

\text{Exact: }AB=25\sqrt{6},\\\text{Rounded: }AB\approx 61.24

Step-by-step explanation:

We can use the Law of Sines to find segment AD, which happens to be a leg of \triangle ACD and the hypotenuse of \triangle ADB.

The Law of Sines states that the ratio of any angle of a triangle and its opposite side is maintained through the triangle:

\frac{a}{\sin \alpha}=\frac{b}{\sin \beta}=\frac{c}{\sin \gamma}

Since we're given the length of CD, we want to find the measure of the angle opposite to CD, which is \angle CAD. The sum of the interior angles in a triangle is equal to 180 degrees. Thus, we have:

\angle CAD+\angle ACD+\angle CDA=180^{\circ},\\\angle CAD+60^{\circ}+75^{\circ}=180^{\circ},\\\angle CAD=180^{\circ}-75^{\circ}-60^{\circ},\\\angle CAD=45^{\circ}

Now use this value in the Law of Sines to find AD:

\frac{AD}{\sin 60^{\circ}}=\frac{100}{\sin 45^{\circ}},\\\\AD=\sin 60^{\circ}\cdot \frac{100}{\sin 45^{\circ}}

Recall that \sin 45^{\circ}=\frac{\sqrt{2}}{2} and \sin 60^{\circ}=\frac{\sqrt{3}}{2}:

AD=\frac{\frac{\sqrt{3}}{2}\cdot 100}{\frac{\sqrt{2}}{2}},\\\\AD=\frac{50\sqrt{3}}{\frac{\sqrt{2}}{2}},\\\\AD=50\sqrt{3}\cdot \frac{2}{\sqrt{2}},\\\\AD=\frac{100\sqrt{3}}{\sqrt{2}}\cdot\frac{ \sqrt{2}}{\sqrt{2}}=\frac{100\sqrt{6}}{2}={50\sqrt{6}}

Now that we have the length of AD, we can find the length of AB. The right triangle \triangle ADB is a 30-60-90 triangle. In all 30-60-90 triangles, the side lengths are in the ratio x:x\sqrt{3}:2x, where x is the side opposite to the 30 degree angle and 2x is the length of the hypotenuse.

Since AD is the hypotenuse, it must represent 2x in this ratio and since AB is the side opposite to the 30 degree angle, it must represent x in this ratio (Derive from basic trig for a right triangle and \sin 30^{\circ}=\frac{1}{2}).

Therefore, AB must be exactly half of AD:

AB=\frac{1}{2}AD,\\AB=\frac{1}{2}\cdot 50\sqrt{6},\\AB=\frac{50\sqrt{6}}{2}=\boxed{25\sqrt{6}}\approx 61.24

3 0
2 years ago
Read 2 more answers
What? I don’t under stand
s2008m [1.1K]

Answer:

? = h

Step-by-step explanation:

v = lwh

v / wh = lwh / wh

v / wh = l

Hopefully this helped!

Brainliest please?

5 0
2 years ago
Read 2 more answers
Can someone help me with this question please.
galina1969 [7]

Answer:

6, 8, and 10.

Step-by-step explanation:

You could work this out with the pythagorean theorem, by proving that 6^2, 36, plus 8^2, 64, equals 100. The fastest way, however, is to use pythagorean triples. These are predetermined sets of numbers that work as side lengths for right triangles. The first two are 3, 4, and 5, which form a right triangle, and 6, 8, and 10, shown here.

5 0
2 years ago
Please answer i will give brainlest
Vitek1552 [10]

Answer:

here ya go

Step-by-step explanation:

1. 20

2.1793

3. 1943

im noy to sure on the bottom ones but use ctrl f in the notes you use for this or something and type in the "transacted" or something in the question and your answer should pop up

7 0
2 years ago
Ricardo bought 3 pounds of red grapes, 4 pounds of green grapes, and 1 pound of black grapes. What is the ratio of green grapes
ivann1987 [24]

Answer:

4:3

Step-by-step explanation:

6 0
3 years ago
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