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kramer
3 years ago
9

An equilateral triangle with side length 7 cm is shown in the diagram, work out the area of the triangle.

Mathematics
1 answer:
ElenaW [278]3 years ago
8 0
If a triangle has sides of 7 cm and it is an equilateral you can draw a line right down the middle to form two congruent triangles.

These smaller triangles have a hypotenuse of 7cm and a base of 3.5 cm (7/2)

To work out the height, use Pythagoras’ theorem.

a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the other two sides

7^2 - 3.5^2 = 36.75

Square root answer

= 6.06 cm

That’s the height of the triangle

Area of a triangle is base x height divided by 2

So 7 x 6.06 = 42.43…

/2

= 21.2 cm^2 to one d.p

Hope this helped!
Please mark Brainliest!!
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3 years ago
The bus fare in a city is $2.00. People who use the bus have the option of purchasing a monthly coupon book for $28.00. With the
LekaFEV [45]

Answer:

56 = 56

Step-by-step explanation:

Given:

Bus fare = $2.00

coupon book = 28.00

bus fare w/ coupon book = $1.00

let x be the number of bus rides.

2.00x = 1.00x + 28.00

2.00x - 1.00x = 28.00

1x = 28.00

x = 28.00

24 bus rides for both to have the same cost.

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4 0
3 years ago
1.5 x 32
Bingel [31]
1.5 x 32 = 48 12 divided 0.03 = 400 12.8 X 3/4 ( 0.75 ) =  <span>17.0666667 1.5 x 0.32 = 0 .48 1.2 divided by 0.3 = 4 AND... 102.4 divided 3.2 = 32 Hope this helps! :)
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5 0
3 years ago
The life expectancy of a circulating coin is 30 years. The life expectancy of a circulating dollar bill is only
Afina-wow [57]
Life expectancy of dollar bill = d
life expectancy of coin = c

d = 1/20 c

substitute value in for c (30)

d = 1/20 * 30
d = 30/20
d = 1.5

life expectancy of a dollar bill = 1.5 years
3 0
3 years ago
WILL MARK BRAINLIEST ANSWER!!!<br><br> 6. Find the measure of angle x.
ehidna [41]

Answer:

A: 71°

Explanation:

The interior angles of a triangle must always equal 180°.

We have two of the angles, and if we add them up and subtract it from 180°, we can get the missing angle.

49+60+x=180

Add 49 and 60

109+x=180

Isolate the x, so subtract 109 from 180

x=71°

4 0
3 years ago
Read 2 more answers
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