All categories

2 years ago

A triangular sail has two sides the same length. The third side is 9ft shorter than either of the equal sides. The perimeter of

the sail is 63 ft. How long is the shortest side?

Mathematics

1 answer:

jeka942 years ago

4 0

$a-length\ one\ of\ the\ same\ sides\\\\a-9-length\ of\ third\ side\\\\a+a+a-9=63\ \ \ \ \ \ |add\ 9\\a+a+a=63+9\\3a=72\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |divide\ by\ 3\\a=24\\\\a-9=24-9=15\\\\The\ shortest\ side\ is\ 15.$

You might be interested in

Find the slope and the y-intercept of y=9x-2

Anna71 [15]

Answer:

The Slope is 9 and the y-intercept is -2

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Algebra math word problems

irga5000 [103]

26. 4 people went to the aquarium

27. $1.50 per game (subtraction property and division property)

7 0

3 years ago

Given that y = 6 + 4x-x^2express y in the form a.-(x + b)^2, where a and b are

Y_Kistochka [10]

Answer:

6 + 4x − x² = 10 − (x − 2)²

the turning point : (2 , 10)

Step-by-step explanation:

6 + 4x − x² = − x² + 4x + 6

= − (x² − 4x) + 6

= − (x² − 4x + 4 − 4) + 6

= − [(x − 2)² − 4] + 6

= − (x − 2)² + 4 + 6

= − (x − 2)² + 10

= 10 − (x − 2)²

Then the turning point of y is (2 , 10)

4 0

1 year ago

Crickets can jump with a vertical velocity of up to 14 ft/s. Which equation models the height of such a jump, in feet, after t s

Strike441 [17]

B is your answer I just took the assignment quiz.

7 0

2 years ago

Read 2 more answers

If tan a = 9／40<br>use trigonometric identities to find the values of sin a and cos a.

Sindrei [870]

Answer:

see explanation

Step-by-step explanation:

Given

tan a = $\frac{9}{40}$ = $\frac{opposite}{adjacent}$

We require the hypotenuse h

Using Pythagoras' identity

h² = 9² + 40² = 81 + 1600 = 1681 ( take square root of both sides )

h = $\sqrt{1681}$ = 41 , thus

sin a = $\frac{opposite}{hypotenuse}$ = $\frac{9}{41}$

cos a = $\frac{adjacent}{hypotenuse}$ = $\frac{40}{41}$

4 0

2 years ago