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3 years ago

Pls someone find the answer to this question...i have exam tomorrow

Mathematics

1 answer:

s2008m [1.1K]3 years ago

8 0

Answer: 29.2cm

Step-by-step explanation: perimeter of parallelogram; 2(a + b) where a = base, b = altitude

a = 8cm

b = 6.6cm

Perimeter = 2(8 + 6.6) = 2(14.6)

Perimeter = 29.2cm

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A piece if wire 40cm is bent to form a right angled triangle whose hypotenuse is 17cm long find the other two sides of triangle

hjlf

Answer: 150mm

Step-by-step explanation:

Take the two adjecent sides of the triangle to be x and y and X is the angle opposite the side, x.

From the trigonometric identities for a right-angled triangle, it is known that

x=170sin X and;

y=170cos X

Thus the perimeter of the triangle is given by

170sin X + 170cos X + 170 = 400

170(sin X + cos X) = 400 - 170

170(sin X + cos X) = 230

sin X + cos X = 230/170 = 1.3529

Squaring both sides hence,

sin^2(X) + 2sin X.cos X + cos^2(X) = 1.8304

Recall that sin^2(X) + cos^2(X) = 1 and 2sin X.cos X = sin 2X.

Thus, the former expression gives;

1 + sin 2X = 1.8304

sin 2X = 0.8304

2X = arcsin (0.8304)

2X = 56.14° or (180 - 56.14)° = 56.14° or 123.86° for X existing within a triangle.

X = 56.14/2 or 123.86/2

X = 28.07° or 61.93°

Thus the two adjacent sides are ;

x = 170 sin (28.07) = 80mm

y = 170 cos (28.07) = 150mm

Using the value of 61.93° as X would give the same values but interchanged for x and y.

I hope you find this useful.

5 0

3 years ago

there are 60 boys and 72 girls in a school. the principle wants to divide the students into gender-specific groups ( all boys or

Tamiku [17]

Hello there,
You want to split them into gender specific groups.
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The answer will be shown in the picture
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3 years ago

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3 years ago

The taxi driver charges $3.50 just to get in the cab and then $2.50 per mile. If Lisa travels m miles, which equation

Kryger [21]

Answer:r=2.5m+3.5

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Pls someone find the answer to this question...i have exam tomorrow​

Pls someone find the answer to this question...i have exam tomorrow