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Zinaida [17]
3 years ago
7

What is a triangle with three congruent sides?

Mathematics
1 answer:
Marta_Voda [28]3 years ago
5 0
A triangle with three congruent sides is an equilateral triangle. An equilateral triangle's all sides are always equal to each other, and the angles are also congruent.
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Prove that this question:.​
Vikki [24]

This follows directly from the double angle identity for cosine and the Pythagorean identity:

\cos2\theta=\cos^2\theta-\sin^2\theta=\begin{cases}2\cos^2\theta-1\\1-2\sin^2\theta\end{cases}

So we have

\dfrac{1-2\sin^2\theta}{2\cos^2\theta-1}=\dfrac{\cos2\theta}{\cos2\theta}=1

8 0
4 years ago
P(n) models the price (in dollars) of a pack of n bulbs at a certain store.
ycow [4]

Answer:

Option A.

Step-by-step explanation:

The given question is incomplete. Here is the complete question.

P(n) models the price (in dollars) of a pack of n bulbs at a certain store.

When does the price of a pack increase faster ?

n             4             10            12

P(n)        12            25           28

When does the price of a pack increase faster ?

A. Between 4 and 10 bulbs

B. Between 10 and 12 bulbs

C. The price increases at the same rat over both the intervals.

To solve this question we will find the rate of increase in the prices per pack in the given intervals.

From n = 4 to n = 10

Rate of increase in price = \frac{25-12}{10-4}

                                         = \frac{13}{6}

                                         = 2.166 ≈ $2.17 per pack

From n = 10 to n = 12

Rate of increase in price = \frac{28-25}{12-10}

                                         = \frac{3}{2}

                                         = $1.5 per pack

Therefore, price per pack increases faster between n = 4 and n = 10 as compared to n = 10 to n = 12.

Option A is the answer.

8 0
3 years ago
Read 2 more answers
Determine the area of the composite figure.​
rodikova [14]

Answer:

113 m^{2}

Step-by-step explanation:

top rectangle = l x w = 6 x 13 = 78

lower rectangle width = 13-8=5. so a = l x w. 7 5 = 35

78+35= 113

5 0
3 years ago
The Amount of sales tax on a new car varies directly to the purchase price of the car. On a 25,000 car, sales tax is 1,750. What
Gekata [30.6K]

Answer:

50,000

Step-by-step explanation:

1st car had $1,750 tax

2nd car has $3,500 tax

1750(2) = 3500

 

so your tax doubled so the price must be doubled.

The car is $50,000

Algebraically using direct variation:

 

t = kp    where t=tax, p = purchase price, 

             and k is constant of variation

 

1750 = 25000k

k = 1750/25000

k = 0.07

 

Your equation is:  t = 0.07p

3500 = 0.07p

p = 3500/0.07

p = $50,000

6 0
2 years ago
Can someone answer this problem please
TEA [102]
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4 0
3 years ago
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