All categories

2 years ago

If the length of a rectangle is 6 more than twice the width and the total perimeter is 84cm, what is the rectangle's length?

Mathematics

1 answer:

tino4ka555 [31]2 years ago

5 0

Step-by-step explanation:

length = 2×width + 6

84 = 2×length + 2×width

now using the first in the second equation :

84 = 2×(2×width + 6) + 2×width = 4×width + 12 + 2×width

84 = 6×width + 12

72 = 6×width

width = 12 cm

length = 2×width + 6 = 2×12 + 6 = 24 + 6 = 30 cm

You might be interested in

If you have 10 boxes and 93 needs to be distributed in to them equally how much is in each box

dalvyx [7]

9.3 due to the fact that 93/10 is 9.3 hopefully that helps

7 0

3 years ago

Read 2 more answers

Solve this query plzzz

Olin [163]

Step-by-step explanation:

$\frac{\sin \:4A}{\cos \:2A} \times \frac{1 - \cos \:2A}{1 - \cos\:4A} = \tan \:A \\ \\ LHS = \frac{\sin \:4A}{\cos \:2A} \times \frac{1 - \cos \:2A}{1 - \cos\:4A} \\ \\ = \frac{2\sin \:2A.\cos \:2A}{\cos \:2A} \times \frac{1 - (2 { \cos}^{2}A - 1) }{1 - (2 { \cos}^{2}2A - 1) } \\ \\ = 2\sin \:2A \times \frac{1 - 2 { \cos}^{2}A + 1}{1 - 2 { \cos}^{2}2A + 1 } \\ \\ = 2\sin \:2A \times \frac{2- 2 { \cos}^{2}A }{2 - 2 { \cos}^{2}2A } \\ \\ = 2\sin \:2A \times \frac{2(1 - { \cos}^{2}A) }{2 (1- { \cos}^{2}2A) } \\ \\ = 2\sin \:2A \times \frac{1 - { \cos}^{2}A}{1- { \cos}^{2}2A } \\ \\ = 2\sin \:2A \times \frac{ { \sin}^{2}A}{{ \sin}^{2}2A } \\ \\ = 2 \times \frac{ { \sin}^{2}A}{{ \sin}2A } \\ \\ = 2 \times \frac{ { \sin}^{2}A}{{ 2\sin}A. \cos \: A } \\ \\ = \frac{ { \sin}A}{ \cos \: A } \\ \\ = tan \: A \\ \\ = RHS \\$

7 0

3 years ago

18pts Solve for x. -3x + 6 = 2x - 24 A) -30 B) -6 C) 6 D) 30

Natasha2012 [34]

Answer: B

Step-by-step explanation: x = 6

8 0

3 years ago

Read 2 more answers

Describe youre version of a best freind

Alecsey [184]

Answer:

To me is a best freind is someone who has my back no matter what.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer.

allochka39001 [22]

Answer:

No. See explanation below.

Step-by-step explanation:

Since the cards are being selected without replacement, every time we select a card, the probability varies (since there is one less card) and therefore, the probability doesn't remain the same for every trial and therefore, the probability of success changes for every trial.

It is because of this that this probability experiment doesn't represent a binomial experiment.

6 0

3 years ago