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Vladimir [108]
2 years ago
6

Need help with solving this please

Mathematics
2 answers:
Anni [7]2 years ago
8 0
Since its an equilateral triangle, the angles are all 60 degrees.

cos60 = opposite / hypothenuse = x / sqrt3

cos60 = 1/2

x = sqrt3/2
LuckyWell [14K]2 years ago
3 0

Answer:

3/2

Step-by-step explanation:

Since the shape is an equilateral triangle, all the angles are equal measure, 60° and all the sides are also of equal measure that was given, root3. So half of the triangle has length (root3)/2. The perpendicular drawn in the interior is also an angle bisector. The triangles created are 30°-60°-90° triangles. The sides of this special right triangle are in the ratio

s : 2s : sroot3

The longest side of the 30-60-90 triangle is given. The shortest side is half the length of the longest side. The length of the long leg is the short leg × root3

In this diagram the short leg is (root3)/2 .

(root3)/2 × root3 = 3/2

See image.

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Divide 5.8 by 10. Answer is .58 pound
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A finite geometric series is the sum of a sequence of numbers. Take the sequence 1, 2, 4, 8, … , for example. Notice that each n
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2 years ago
Cal is measuring temperature changes in four substances over different time periods as part of a school project. Which data show
djyliett [7]

Answer:

C) The third table. K= 5

C)\frac{10}{2}=\frac{15}{3}=\frac{25}{5}=\frac{40}{8}=k= 5

Step-by-step explanation:

1) Below there are the missing data:

A proportional relationship through a constant k. It is obtained when we divide:

k=\frac{y}{x}

2)In this case, when we divide the temperature (T) by the time (h).

k=\frac{T}{h}

3)So, examining the table below we are searching for a ratio k common to all measures (temperatures over hour).

A) \frac{12}{3}\neq\frac{25}{5}\neq\frac{36}{6}\neq\frac{81}{9}\\B) \frac{22.5}{3}\neq\frac{30}{4}\neq\frac{52.5}{7}\neq\frac{67.5}{8}\\C)\frac{10}{2}=\frac{15}{3}=\frac{25}{5}=\frac{40}{8}=k= 5\\D)\frac{8.5}{2}\neq\frac{22.5}{5}\neq\frac{28.5}{7}\neq\frac{36}{8}

3 0
3 years ago
Find the length of GI in the triangle below. Show your work.
love history [14]

Answer:

<u>The length of GI is 90.06 units</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

GH = 60 units

HI = 42 units

∠H = 123°

2. Using the Law of Cosines, we can find the length of GI, this way:

GI² = GH² + HI² - 2 * GH * HI * cos ∠H

Replacing with the real values:

GI² = 60² + 42² - 2 * 60 * 42 * cos ∠123°

GI² = 3,600 + 1,764 - 2 * 60 * 42 * -0.545

GI² = 3,600 + 1,764 - 2 * 60 * 42 * -0.545

GI² = 3,600 + 1,764 + 2,746.8

GI² = 8,110.8

<u>GI = √ 8,110.8 = 90.06 units</u>

4 0
3 years ago
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$500 shared in ratio 2:3:9
RideAnS [48]
2:3:9......added together = 14

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9/14 (500) = 4500/14 = 321.43
6 0
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