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4vir4ik [10]
3 years ago
8

Given angle D= 60 degrees, determine the PERIMETER of triangle ABC.

Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0

Answer:

15*(1+root(3))

Step-by-step explanation:

BD=5, BC=5*root(3), you can find it by using trigonometry.

  • AC^2+DC^2=AD^2

AC^2=300, AC=10*root(3)

  • AB^2+BC^2=AC^2

AB^2=225, AB=15.

Perimeter of ABC is AB+BC+CA=15+5*root(3)+10*root(3).

15(1+root(3))

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horsena [70]

Answer:

1000

Step-by-step explanation:


3 0
4 years ago
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Sherrod and Kamar are planning to drive at most 900 miles road trip. Sherrod drives at 60 miles per hour, and Kamar at 50 miles
Allushta [10]

The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.

  • a. The inequality that represents the miles that Sherrod and Kamar drives is; <u>x + y ≤ 900</u>
  • b. Two possible combination of <em>x</em> and <em>y</em> are; <u>(600, 300) and (300, 600)</u>

Reasons:

a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles

Sherrod's speed = 60 mph

Kamar's speed = 50 mph

The distance Sherrod drives = x

The distance Kamar drives = y

a. The miles driven by Sherrod and Kamar is given by the inequality;

  • <u>x + y ≤ 900</u>

b. Two possible combinations are;

First possible combination;

Sherrod drives for 10 hours, which gives;

Distance Sherrod drives = 60 mph × 10 hour = 600 miles

Kamar drives for 900 miles - 600 miles = 300 miles

Which gives;

Sherrod drives for 600 miles and Kamar drives for 300 miles

  • <u>First combination; (600, 300)</u>

Second possible combination;

The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles

  • <u>Second combination; (300, 600)</u>

Learn more about inequalities here:

brainly.com/question/22976364

6 0
3 years ago
What is the GCF of 24a 3 b and 36ab 2?
Orlov [11]
Not sure if the 2 at the end is part of it all because with it the GCF can only be 1 

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the GCF of  24a, 3b and 36ab is 3.
4 0
3 years ago
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Find two supplementary angles if the measure of one angle is three times the measure of the second
Colt1911 [192]
Hello :
x+3x=180
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8 0
3 years ago
Rewrite<br> 4/10 : 1/25 as a unit rate.<br><br> A: 10:1<br> B: 25:4<br> C: 2:125<br> D: 100:1
Vladimir79 [104]

Answer:

4/10 : 1/25

4/10 / 1/25 = 4/10 x 25/1 = 100/10 = 10.

10 can also be written as 10:1, so A is correct.

Hope this helps!

6 0
3 years ago
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