All categories

3 years ago

Find the value of a?

Mathematics

1 answer:

Inga [223]3 years ago

7 0

Answer:
a=9

Explanation:
The triangle is a 45-45-90 triangle, so the sides have a 1-1-root 2 ratio. So, if 9 root 2 is to root 2, then find a to 1. You can solve this by setting up the ratio and solving for a:
a/1=9root2/root2
a/1=9
a=9

You might be interested in

The pH scale for acidity is defined by pH= -log subscript 10 [H superscript+] where [H superscript+] is the concentration of hyd

gtnhenbr [62]

Answer:

The concentration of hydrogen ions in moles per liter (M) is $3.981 * 10^{-9}$

Step-by-step explanation:

As we know

The hydrogen ion concentration of any solution at pH is given by

$H^+ = 10^{-pH}$

Substituting the given values in above equation, we get -

$H^+ = 10^{-8.4}\\H^+ = 3.981 * 10^{-9}$ mol/l

The concentration of hydrogen ions in moles per liter (M) is $3.981 * 10^{-9}$

8 0

3 years ago

Identify the domain and range of the relation: (-5,-3), (-2,1), (1,4), (2,5)

jonny [76]

Domain is the x-coordinate and range is the y - coordinate

$\therefore \: domain = \{ - 5, \: - 2, \: 1, \: 2 \} \\ \\ \&\: range = \{ - 3, \: 1, \: 4, \: 5\}$

3 0

3 years ago

The length of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of

ycow [4]

The length of the longer base is 41 ft.

Explanation

Lets assume, length of one base is $x$ ft.

As, another base is 19 less than five times the length of this base, so the length of another base $= (5x- 19) ft.$

The trapezoid has a height of 18 ft and area of 477 ft²

Formula for Area of trapezoid, $A=\frac{1}{2} (a+b)*h$ , where $a, b$ = Two bases of trapezoid and $h$ = height of the trapezoid.

Given in the question: $A= 477$ and $h= 18$

We have also two bases as: $a= x$ and $b= 5x-19$

So, according to the above formula...

$A= \frac{1}{2}(a+b)h\\\\ 477=\frac{1}{2}(x+5x-19)*18\\\\ 477=9(6x-19)\\\\477= 54x-171\\\\477+171=54x\\\\648=54x\\\\x=\frac{648}{54} = 12$

So, length of one base is $12 ft$ and another base $=(5*12-19)ft =(60-19)ft = 41 ft$

That means, the length of the longer base is 41 ft.

8 0

2 years ago

One side of a regular hexagon is 9 units. What is the perimeter of the hexagon?

schepotkina [342]

It is 54 because you have to do 9 multipied by 6 because a hexagon has 6 sides therefore it is 54

5 0

2 years ago

A counter in Marvin's kitchen is 4 feet wide and 10 feet long. Marvin wants to replace the counter with a granite countertop, wh

DaniilM [7]

10 ft * 4 ft = 40ft^2.
40 * 15.24 = 609.6
It would cost $609.6

5 0

2 years ago