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3 years ago

The triangle below are similar. What is the scale factor of triangle ABC to triangle DEF?

Mathematics

2 answers:

Tatiana [17]3 years ago

5 0

B. 1/3

9 is 1/3 of 27 since 9x3=27
7 is 1/3 of 21 since 7x4=21
9 is 1/3 of 27 since 9x3 =27

lilavasa [31]3 years ago

4 0

The answer would be 3 because if you divide each number in the larger triangle you will get the numbers in the smaller one

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For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip.

Contact [7]

The expressions represent the total time of her trip in hours is $\rm \dfrac{80}{s} + \dfrac{50}{s+10}$ .

Given that,

For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip.

It represents Lina's speed during the first part of her trip.

We have to determine,

Which expressions represent the total time of her trip in hours?

According to the question,

Let the speed traveled during the first part of the trip be "s".

The formula for calculating the distance is expressed as:

$\rm Distance = Speed \times Time$

For the first part of the journey:

Distance = 80 miles

Time = $\rm t_1$

And Speed = s

Substitute all the values in the formula,

$\rm Distance = Speed \times Time\\\\80 = s \times t_1\\\\ t_1= \dfrac{80}{s}$

For the second part of the trip;

Distance traveled = 50 miles

Speed = s + 10 (10miles/hour faster than the first part of the trip)

time = $\rm t_2$

Substitute all the values in the formula,

$\rm Distance = Speed \times Time\\\\50 = (s+10) \times t_2\\\\ t_2 = \dfrac{50}{s+10}$

Therefore,

Adding both the time to represent the total time of her trip in hours,

$\rm = t_1 +t_2 \\\\ = \dfrac{80}{s} + \dfrac{50}{s+10}$

Hence, The required expressions represent the total time of her trip in hours is $\rm \dfrac{80}{s} + \dfrac{50}{s+10}$ .

For more details refer to the link given below.

brainly.com/question/21043759

6 0

2 years ago

The number of customers in a grocery store is modeled by the function y -X? + 10x + 50, where y is

vova2212 [387]

Using the vertex of the quadratic function, it is found that:

a) The maximum number of customers in the store is at 12 P.M.

b) 75 customers are in the store at this time.

The number of customers in x hours after 7 AM is given by:

$y = -x^2 + 10x + 50$

Which is a quadratic equation with coefficients $a = -1, b = 10, c = 50$

Item a:

The maximum value, considering that a < 0, happens at:

$x_v = -\frac{b}{2a}$

Hence:

$x_v = -\frac{10}{2(-1)} = 5$

5 hours after 7 A.M, hence, the maximum number of customers in the store is at 12 P.M.

Item b:

The value is y(5), hence:

$y(5) = -(5)^2 + 10(5) + 50 = 75$

75 customers are in the store at this time.

A similar problem is given at brainly.com/question/24713268

7 0

2 years ago

Jkl is an equilateral triangle jk= 13x+5,KL= 17X-19 AND JL= 8X+35

stira [4]

Answer:

x = 6

Step-by-step explanation:

Since the triangle is equilateral then sides are congruent.

Equate any 2 sides and solve for x

13x + 5 = 8x + 35 ( subtract 8x from both sides )

5x + 5 = 35 ( subtract 5 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

JK = (13 × 6) + 5 = 78 + 5 = 83

KL = (17 × 6) - 19 = 102 - 19 = 83

JL = (8 × 6) + 35 = 48 + 35 = 83

ΔJKL is equilateral with side = 83

4 0

3 years ago

How would you write this equation in terms of sin and cos as well as simplify it from there?

ziro4ka [17]

Try this option:
$(1+ \frac{cosx}{sinx})(1- \frac{cosx}{sinx})- \frac{1}{sin^2x}= \frac{sin^2x-cos^2x}{sin^2x}- \frac{1}{sin^2x}=$
$= \frac{sin^2x-cos^2x-sin^2x-cos^2x}{sin^2x}=- \frac{2cos^2x}{sin^2x}.$
or -2ctg²x

8 0

3 years ago

PLEASE HELP. Prove that the value of the expression: b (36^5−6^9)(38^9−38^8) is divisible by 30 and 37.

pishuonlain [190]

Answer:

Step-by-step explanation:

First factor the second binomial

38^9 - 38^8 = 38^9 (38 - 1 ) = 38^9(37)

So there's your 37. This whole expression is divisible by 37

Now do the first binomial

36^5 - (36^4)*6

36^4(36 - 6)

36^4(30) and there's your thirty.

That first term is going to cause a bit of trouble showing that 36^4 * 6 = 6^9

6(36^4) = 6(6^2)^4 = 6^1 * 6^8 = 6^9

So this factors into 30*(36^4)*37*38^9

3 0

3 years ago