In isosceles right triangle, legs are equal. Let each leg is of x units . And the given hypotenuse is 5 square 6. We use pythagorean identity here, which is

$a^2 + b^2 = c^2$

Where a=b=x and c= 5 square root 6

$x^2 +x^2 =(5 \sqrt6)^2$

$2x^2 = 150$

$x^2 =75$

$x= 5 \sqrt 3$

And that's the length of both the legs . ANd that's the required answer .

8 0

3 years ago

A box in the shape of a roctangular prism has a longth of 3 inches, a width of 2, inches,

tatyana61 [14]

I need help Over the next two days, Benton Employment Agency is interviewing clients who
wish to find jobs. On the first day, the agency plans to interview clients in groups
of 6. On the second day, the agency will interview clients in groups of 8. If the
employment agency will interview the same number of clients on each day, what
is the smallest number of clients that could be interviewed each day?

3 0

3 years ago

P/-8 + 9 > 13 pls explain i don't get it

KonstantinChe [14]

Answer:

p < -32

Step-by-step explanation:

Given: p/-8 + 9 > 13

Rewrite: $\frac{p}{-8}$ + 9 > 13

Subtract 9 from both sides: $\frac{p}{-8}$ > 4

Move the negative (it is a fraction): $\frac{-p}{8}$ > 4

Multiply both sides by 8: -p > 32

Times by -1 (-p -> -1p): p > -32

Flip the sign (multiplied by a negative): p < -32

Hope this helps, have a nice day :D

3 0

3 years ago

Read 2 more answers

G(x) = 3x + 1 f(x) = 2x - 5 Find g (f (x))

sammy [17]

Answer:

g(f(x)) = 6x - 14

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Function Composition

Step-by-step explanation:

Step 1: Define

g(x) = 3x + 1

f(x) = 2x - 5

Step 2: Find

Substitute: g(f(x)) = 3(2x - 5) + 1
Distribute 3: g(f(x)) = 6x - 15 + 1
Combine like terms: g(f(x)) = 6x - 14

6 0

3 years ago