All categories

3 years ago

I need the solution

Mathematics

1 answer:

Vikki [24]3 years ago

4 0

Answer:

=3/4

Step-by-step explanation:

3 (c+d) 2c-2d

-------------- * -------------

(c-d) 8c+8d

Factor the right had term. The numerator can factor out a 2 and the denominator can factor out an 8.

3 (c+d) 2(c-d)

-------------- * -------------

(c-d) 8(c+d)

We can cancel the (c+d) in the numerator the left and the denominator on the right. We can cancel the (c-d) in the numerator on the right and the denominator on the left

3 2

-------------- * -------------

1 8

We can divide the fraction on the right by 2 on the top and bottom.

3 1

-------------- * -------------

1 4

=3/4

You might be interested in

Given: sin ∅= 4/5 and cos x = -5/13 ; evaluate the following expression.<br><br> tan( ∅ - x )

Pavlova-9 [17]

By definition of tangent,

tan(θ - x) = sin(θ - x) / cos(θ - x)

Expand the sine and cosine terms using the angle sum identities,

sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)

cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)

from which we get

tan(θ - x) = (sin(θ) cos(x) - cos(θ) sin(x)) / (cos(θ) cos(x) + sin(θ) sin(x))

Also recall the Pythagorean identity,

cos²(x) + sin²(x) = 1

from which we have two possible values for each of cos(θ) and sin(x):

cos(θ) = ± √(1 - sin²(θ)) = ± 3/5

sin(x) = ± √(1 - cos²(x)) = ± 12/13

Since there are 2 choices each for cos(θ) and sin(x), we'll have 4 possible values of tan(θ - x) :

• cos(θ) = 3/5, sin(x) = 12/13 :

tan(θ - x) = -56/33

• cos(θ) = -3/5, sin(x) = 12/13 :

tan(θ - x) = 16/63

• cos(θ) = 3/5, sin(x) = -12/13 :

tan(θ - x) = -16/63

• cos(θ) = -3/5, sin(x) = -12/13 :

tan(θ - x) = 56/33

7 0

2 years ago

Read 2 more answers

Find the area of the trapezoid below in square centimeters (cm). The area of the trapezoid is

BARSIC [14]

Answer:

122.5

Step-by-step explanation:

Use the area formula for a trapezoid (attached below as an image):

A = area in sq cm

a = top base

b = bottom base

h = height

Correspond the correct values with the variables:

a = 14

b = 21

h = 7

A = 1/2 * (14 + 21) * 7

A = 1/2*(35)*7

A = 17.5 * 7

A = 122.5 sq cm

Hope this helps (●'◡'●)

6 0

3 years ago

Julie is a cashier. She can ring up 12 customers in 9 mintesutes. At the rate, how many minutes does it take for her to ring up

oksano4ka [1.4K]

Answer:

5.2

Step-by-step explanation:

ok so we need to find the unit rate( how many customers per minute) and thats 12 divided by 9 which is 1.3 minutes per customer so now we need to find what 1.3 minutes is x4 customers. This brings us to 5.2.

6 0

2 years ago

Find the total surface area of this cone. Round to the nearest tenth.

leva [86]

Step-by-step explanation:

for given cone:

h = 3 ft, r = 3 ft

Let l be the Slant height of cone.

$\therefore \: l = \sqrt{ {h}^{2} + {r}^{2} } \\ = \sqrt{ {3}^{2} + {3}^{2} } \\ = \sqrt{9 + 9} \\ = \sqrt{2 \times 9} \\ \therefore \: l= 3 \sqrt{2} \: ft \\ \\ total \: surface \: area \: of \: cone \\ = \pi \: r(l + r) \\ = 3.14 \times 3(3 \sqrt{2} + 3) \\ = 9.42 \times 3( \sqrt{2} + 1) \\ = 28.26 \times (1.414 + 1) \\ = 28.26 \times 2.414 \\ = 68.21964 \\ \approx \: 68.2 \: {ft}^{2}$

8 0

3 years ago

Would someone mind explaining this?

Nesterboy [21]

Answer:

Step-by-step explanation:

i think that because it's multiplying by 3.

3*3= 9

5*3= 15

7*3= 21

9*3= 27

This is the only way i could think of helping in some sort of way! I'm sorry if it's wrong! (´。＿。｀)

Have a great day! (´。＿。｀) / (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

( ﾟдﾟ)つ Bye

8 0

3 years ago