All categories

3 years ago

1. A triangular swimming pool is an isosceles triangle in shape. The two

Mathematics

1 answer:

Nady [450]3 years ago

3 0

Answer:

Side a = 35ft

Side b = 35ft

Side c = 20ft

Step-by-step explanation:

The formula for the perimeter of a triangle = Side a + Side b + Side c

In an isosceles triangle, 2 sides are equal to each other.

So, Side a = Side b

In the question, we are told that:

The two equal sides are each 5 ft less than twice the length of the third side.

Hence,

a = 2c - 5

b = 2c - 5

P = 90ft

P = a + b + c

90 = 2c - 5 + 2c - 5 + c

Collect like terms

90 = 5c - 10

90 + 10 = 5c

100 = 5c

c = 100/5

c = 20

The length of the third side = 20ft

a = 2c - 5

= 2 × 20 - 5

= 40 - 5

= 35 ft

b =2c - 5

= 2 × 20 - 5

= 40 - 5

= 35 ft

Therefore,

Side a = 35ft

Side b = 35ft

Side c = 20ft

You might be interested in

In a toy store, the ratio of the number of to the number of is . If the store has , how many are in the store? Use pencil and

Zanzabum

Answer:

Step-by-step explanation:

There are no numbers sorry.

5 0

3 years ago

65% of students in your school participate in at least one after school activity. If there are 980 students in you school, how m

aniked [119]

100% - 65% = 35% of students DO NOT participate

980 * 35/100 = 980 * 0.35 = 343 students don't participate

8 0

3 years ago

A line passes through (3, -2) and (6,2). Write an equation for the line in point-slope form.

snow_lady [41]

Answer:

4x - 3y -18 = 0 or y = 4x/3 - 6

Step-by-step explanation:

We will have to find the slope of the line first

The formula for slope:

$m =\frac{y_{2}- y_{1} }{x_{2} -x_{1} } \\m= \frac{-2-2}{3-6}\\ =\frac{-4}{-3}\\ =\frac{4}{3}$

The standard form of equation of a line is:

y = mx + b

We know m,

So the equation will be:

$y= \frac{4}{3}x+b$

We have to find the value of b, for that we will put any one of the point in the equation

So, putting (6,2)

2 = 4/3 * 6 + b

2 = 8 +b

b = -6

Putting the value of m and b in the standard form of equation of line,

$y = mx + b\\y = \frac{4}{3}x+(-6)\\y = \frac{4}{3} x - 6\\Multiplying\ both\ sides\ by\ 3\\3y = 4x - 18\\4x - 3y -18 = 0$ ..

7 0

3 years ago

A toy store purchases Jedi lightsabers from the manufacturer for $18. The manager decides to mark up the price by of the origina

TEA [102]

Answer:

hehe

Step-by-step explanation:

4 0

3 years ago

In the next election, 15,000 people will actually vote for Candidate A. A poll has a percent error of 4%. Which statement descri

salantis [7]

The poll has an error of 600 votes. The total number of votes including the error shown by the poll is 15600 or 14400.

Statement B is correct.

<h3>What is the percentage?</h3>

A percentage can be defined as a relative number that shows the hundredth part of the given number. The percentage is represented by the sign "%".

Given that In the next election, 15,000 people will actually vote for Candidate A. A poll has a percent error of 4%.

The error can be calculated as given below.

$error = 15000 \times \dfrac {4}{100}$

$error = 600$

The poll has an error of 600 votes. This will affect the total number of votes in the election.

The total number of votes V including errors are given as,

<em />

<em /> $V = 15000 +/- error$

$V = 15000 + 600 = 15600$

$V = 15000-600 = 14400$

Hence we can conclude that the total number of votes including the error shown by the poll is 15600 or 14400. Statement B is correct.

To know more about the percentage, follow the link given below.

brainly.com/question/8011401.

<em />

5 0

2 years ago