All categories

2 years ago

The sides of a triangle are (x+5), and (x+8) units. Find the value of x if the perimeter of the triangle is 106 units.

Mathematics

1 answer:

lutik1710 [3]2 years ago

5 0

106=x+x+5+x+8

106=3x+13

3x=93

x=31

(the sides are 31, 36, 39 respectively)

You might be interested in

Can someone help me plss!!??

VMariaS [17]

Answer: 1/12 || 2x-1/2=2x-1/12

5 0

3 years ago

Read 2 more answers

HELP!!! ASAP!!!! TRIG!!!

RSB [31]

Answer:

Identity is true

Step-by-step explanation:

$\frac{cos\theta+1}{tan^2\theta}=\frac{cos\theta}{sec\theta-1}$

$(cos\theta+1)(sec\theta-1)=(tan^2\theta)(cos\theta)$

$(cos\theta)(sec\theta)+(cos\theta)(-1)+(1)(sec\theta)+(1)(-1)=(\frac{sin^2\theta}{cos^2\theta})(cos\theta)$

$(cos\theta)(\frac{1}{cos\theta})-cos\theta+sec\theta-1=\frac{sin^2\theta}{cos\theta}$

$1-cos\theta+sec\theta-1=\frac{sin^2\theta}{cos\theta}$

$-cos\theta+sec\theta=\frac{sin^2\theta}{cos\theta}$

$sec\theta-cos\theta=\frac{sin^2\theta}{cos\theta}$

$\frac{1}{cos\theta}-cos\theta=\frac{sin^2\theta}{cos\theta}$

$\frac{1}{cos\theta}-\frac{cos^2\theta}{cos\theta}=\frac{sin^2\theta}{cos\theta}$

$\frac{1-cos^2\theta}{cos\theta}=\frac{sin^2\theta}{cos\theta}$

$\frac{sin^2\theta}{cos\theta}=\frac{sin^2\theta}{cos\theta}$

Therefore, the identity is true.

<u>Helpful tips:</u>

Pythagorean Identity: $sin^2\theta+cos^2\theta=1\\cos^2\theta=1-sin^2\theta\\sin^2\theta=1-cos^2\theta$

Quotient Identities: $tan\theta=\frac{sin\theta}{cos\theta},sec\theta=\frac{1}{cos\theta}$

6 0

2 years ago

Curtis charges a flat fee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery Curtis drive

katen-ka-za [31]

Curtis charges $3.70 to deliver food

4 0

3 years ago

A ___ amp single-pole snap switch is permitted to be used to control a lighting circuit that pulls 15 amps. Select one: a. 20 b.

3241004551 [841]

A 20,15, 30 amp single-pole snap switch is permitted to be used to control a lighting circuit that pulls 15 amps. Option D is correct. This is further explained below.

<h3>What is Ampere?</h3>

Generally, Ampere is simply defined as the basic metric SI unit of electrical current

A 20,15, 30 amp capacity will suffice because these capacities are equal to greater than the load in question.

In conclusion, To operate a 15-amp lighting circuit, a single-pole snap switch rated for 20, 15, or 30 amps is legal.