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Alexandra [31]
2 years ago
5

Triangle ABC is equilateral with sides 10 cm long. Triangle DEF is formed by drawing lines parallel to, and 1 cm away from, the

sides of triangle ABC as illustrated. Find the perimeter of triangle DEF.​

Mathematics
1 answer:
Brrunno [24]2 years ago
8 0

The perimeter of equilateral triangle DEF is 24 cm.

<h3>Triangle</h3>

A triangle is a polygon with three sides and three angles. Types of triangles are<em> equilateral, isosceles, obtuse, scalene</em>.

Given that triangle ABC is equilateral, also triangle DEF is equilateral.

DE = DF = EF = 10 - 1 - 1 = 8 cm

Perimeter of DEF = 8 + 8 + 8 = 24 cm

The perimeter of equilateral triangle DEF is 24 cm.

Find out more on Triangle at: brainly.com/question/24382052

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Marcus borrowed 9000 from his bank to buy a car. The bank charged him a simple interest rate of 1.25%. By the time he paid back
snow_lady [41]

Answer:

2.5 years

Step-by-step explanation:

Given data

P=9000

r= 1.25%

A= 9281.25

The simple interest expression is given as

A=P(1+rt)

substitute

9281.25= 9000(1+0.0125*t)

9281.25=9000+112.5t

collect like terms

9281.25-9000=112.5t

281.25= 112.5t

t= 281.25/112.5

t= 2.5

Hence the time is 2.5 years

7 0
3 years ago
Evaluate the expression when m=25 and n=2
lawyer [7]

Answer:

what the expression, lmk in comments and then i will help you :)

Step-by-step explanation:

4 0
3 years ago
Simplify.
Alexus [3.1K]

Answer:

1/8

Step-by-step explanation:

To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.

We can then rewrite the square root terms as follows:

√3/√8 = √(3) / √(2 * 2 * 2)

Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:

√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)

Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:

√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2

Finally, we can use the rules of division to simplify the expression even further:

√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)

Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:

√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8

Therefore, the simplified form of the expression √3/√8 is 1/8.

6 0
1 year ago
Read 2 more answers
Witch is bigger -5 or -55
Georgia [21]
The answer to which is bigger is -5 because it is closer to zero
3 0
3 years ago
Read 2 more answers
the leaning tower of pisa in italy makes an angle of 86 degrees with the ground. a person standing on the ground approximately 8
Art [367]
See the picture to better understand the problem

we know that
in the triangle ABC
∠A+∠B+∠C=180°
∠C=180-(86+69)-----> ∠C=25°
Applying the law of sines
b/sin B=c/sin C------> b=c*sin B/sin C-----> b=82*sin 69/sin 25
b=181.14 ft

the answer is
181.14 ft

8 0
3 years ago
Read 2 more answers
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