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AleksAgata [21]
3 years ago
7

Just need help on this one problem about a triangle

Mathematics
1 answer:
Rainbow [258]3 years ago
4 0

Given:

ΔABC is an equilateral triangle.

AB = 7.5x, BC = 6x + 3 and CA = 10x - 5

To find:

The value of x.

Solution:

In equilateral triangle, all sides are equal.

AB = BC = CA

7.5x=6x + 3 = 10x - 5

Take any two sides only:

AB = BC

7.5 x=6 x+3

Subtract 6x from both sides.

7.5 x-6 x=6x+3-6x

1.5 x=3

Divide by 1.5 on both sides.

$\frac{1.5 x}{1.5}=\frac{3}{1.5}

x=2

The value of x is 2.

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The graph shows the cost of some taxi journeys. work out a formula for C in terms of n.
Serga [27]

Given:

The graph of cost of taxi with respect to number of miles.

To find:

The formula for C in terms of n.

Solution:

In the given graph x axis represents the number of miles (n) and y-axis represents the cost of taxi (C).

From the given graph it is clear that, the line passes through the points (0,3) and (5,6). So, the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-3=\dfrac{6-3}{5-0}(x-0)

y-3=\dfrac{3}{5}(x)

Adding 3 on both sides, we get

y=\dfrac{3}{5}x+3

Putting y=C and x=n, we get

C=\dfrac{3}{5}n+3

Therefore, the required formula is C=\dfrac{3}{5}n+3.

7 0
3 years ago
PLEASE HELP WITH THIS ONE QUESTION
AnnyKZ [126]

Answer:

The solution is in the attached file

6 0
3 years ago
1) Jorge takes his friends out for smoothies. He buys 5 smoothies and leaves a $3 tip,
irina1246 [14]

Answer:

15b-x=4

Step-by-step explanation:

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7 0
3 years ago
QUESTION 1: What are the values of cos α and tan α, if α is an acute angle in a right triangle: sin α = 40/41 -------- cos α = ?
zhuklara [117]

Answer:

Question 1:

cos a = 0.2195

tan a = 4.445

Question 2:

sin a = 0.8

tan a = 1.333

Step-by-step explanation:

<h3 /><h3>Question 1:</h3>

Given that;

sin a = 40/41

a = sin ⁻¹ (40/41)

a = 77.32°

Now we have to find the value of cos a and tan a:

a = 77.32°

cos 77.32° = 0.2195

tan 77.32° = 4.445

<h3>Question 2:</h3>

Given that;

cos a = 0.6

a = cos ⁻¹ (0.6)

a = 53.13°

Now we have to find the value of cos a and tan a:

a = 53.13°

sin 53.13° = 0.8

tan 53.13° = 1.333

4 0
3 years ago
Need help on this question
klasskru [66]
Ur mum......................
3 0
3 years ago
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