For questions 6-9, match the equation to its corresponding graph.

Mathematics

1 answer:

Julli [10]3 years ago

8 0

6.b
7.d
8.a
9.c
see attached image. sorry that’s it’s all jumbled up weird, i could only figure out how to put them all together using photoshop. hope these help you out :))

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The length of each leg of an isosceles right triangle is 4 cm. What is the length of the hypotenuse

miss Akunina [59]

Answer:

5.65 cm

Step-by-step explanation:

We are given that the length of each leg of an isosceles right triangle is 4 cm and we are to find the length of the hypotenuse.

For this, we will use the Pythagoras Theorem:

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

where $a$ is the hypotenuse.

$a ^ 2 = 4 ^ 2 + 4 ^ 2$

$\sqrt { a ^ 2} = \sqrt { 3 2 }$

$a = 5 . 6 5$

Therefore, the length of the hypotenuse is 5.65 cm.

5 0

3 years ago

Read 2 more answers

A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team. How many diff

lys-0071 [83]

Answer:

The team can be formed in 756 different ways

Step-by-step explanation:

This is a combination problem since we are to select a set of people from a group. Combination has to do with selection.

for example, if r number of object is to be selected from a pool of n objects, this can be done in nCr number of ways.

$nCr = \frac{n!}{(n-r)!r!}$

Now If A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team, then this can be done in the following way;

$7C2 * 9C2$

$7C2 = \frac{7!}{5!2!} \\= \frac{7*6*5!}{5!*2} \\= 7*3\\= 21ways\\\\similarly;\\\\9C2 = \frac{9!}{7!2!}\\9C2= \frac{9*8*7!}{7!*2} \\9C2 = 9*4\\9C2 = 36$