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3 years ago

2 1

Mathematics

1 answer:

iragen [17]3 years ago

8 0

A. (8,4) because you can tell in the second pattern

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Name a pair of lines that appear to be parallel

GarryVolchara [31]

A vertical line that is straight :(

5 0

2 years ago

Please help me!!!!! i need full answer.

salantis [7]

Answer:

see explanation

Step-by-step explanation:

Using the sum/ difference → product formula

cos x - cos y = - 2sin( $\frac{x+y}{2}$ )sin ( $\frac{x-y}{2}$ )

sin x - sin y = 2cos ( $\frac{x+y}{2}$ )sin ( $\frac{x-y}{2}$ )

Given

(cosA - cosB)² + (sinA - sinB )²

= [ - 2sin( $\frac{A+B}{2}$ )sin( $\frac{A-B}{2}$ ) ]² + [ 2cos( $\frac{A+B}{2}$ )sin( $\frac{A-B}{2}$ ) ]²

= 4sin² ( $\frac{A+B}{2}$ )sin² ( $\frac{A-B}{2}$ ) + 4cos² ( $\frac{A+B}{2}$ )sin² ( $\frac{A-B}{2}$ )

= 4sin² ( $\frac{A-B}{2}$ )[ sin² ( $\frac{A+B}{2}$ ) + cos² ( $\frac{A+B}{2}$ ) ← sin²x + cos²x = 1

= 4sin² ( $\frac{A-B}{2}$ ) × 1

= 4sin² ( $\frac{A-B}{2}$ ) = right side ⇒ proven

4 0

3 years ago

Create a system of equations

Vika [28.1K]

Answer:

Answer: Janet is 16, and David is 11.

Step-by-step explanation:

Let the ages be j and d.

j = d + 5

j + d = 27

Substitute d + 5 for j in the second equation.

d + 5 + d = 27

2d + 5 = 27

2d = 22

d = 11

Substitute 11 for d in the first equation.

j = d + 5

j = 11 + 5

j = 16

Answer: Janet is 16, and David is 11.

6 0

2 years ago

The cost of 12 pencils is rupees 37 4 by 5 find the cost of one pencil

Svetllana [295]

Answer:

Cost of 12 pencils = 37 4/5 = 189/5

Cost of 1 pencil = 189/5 ÷ 12

= 189/5 x 1/12 = 189/60 = 63/20 = 3 3/20

So required answer is 3 3/20

Hope This Helps You!

5 0

2 years ago

Find the area of each figure. Round to the nearest tenth if necessary.

natita [175]

Answer:

Solution given:

diameter(d)=6mm

base(b)=8mm

height (h)=5mm

Area of figure=area of parallelogram +area of semi circle

base*height+½π(d/2)²
8*5+½*π×(6/2)²
40+14.14
54.4mm²
Area :54.14mm²

for triangle

base[b]=6ft

height(h)=9ft

for square

length[l]=9ft

Area of figure=area of square +area of triangle

=l²+½*b*h
=9²+½*6*9
=81+27
=108ft²
Area: 108ft²

6 0

2 years ago