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3 years ago

14

Find the value of x. If your answer is not a whole, leave it in the simplest radical form

1 answer:

Anestetic [448]3 years ago

7 0

That line means the other side is also x

remember pythagoran theorem
for legs length a and b and hypootnuse length c
a²+b²=c²

so

legs aer x and x
hyptonuse is 6

x²+x²=6²
2x²=36
divide both sides by 2
x²=18
sqrt both sides
x=(√9)(√2)
x=3√2

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Order of operations could someone please help me with this question? because i don't know how to completely work it out

malfutka [58]

Answer:

-15

Step-by-step explanation:

so to start you must distribute negative two times negative two equals positive four,

so now your equation looks like this,

2^2 +4+4-3^3

then you need to do the exponents,

2 x 2 = 4

3 x 3 x 3 =27

now it looks like this

4+4+4-27

12 - 27

-15

Hope that helps!

8 0

3 years ago

What is the diameter of a sphere with a volume of 332\text{ cm}^3,332 cm 3 , to the nearest tenth of a centimeter?

Korvikt [17]

Answer:

The diameter is 8.6cm

Step-by-step explanation:

Given

Shape: Sphere

$Volume = 332cm^3$

Required

Determine the diameter of the sphere

First, calculate the radius using:

$Volume = \frac{4}{3} \pi r^3$

Substitute: $Volume = 332cm^3$

$332= \frac{4}{3} \pi r^3\\$

Solve for r

$r^3 = \frac{332 * 3}{4 * \pi}$

$r^3 = \frac{996}{4 * \pi}$

$r^3 = \frac{249}{\pi}$

$r^3 = \frac{249}{3.142}$

$r^3 = 79.25$

Take cube roots

$r = \sqrt[3]{79.25}$

$r = 4.3$

Diameter (D) is calculated as:

$D = 2r$

$D = 2 * 4.3$

5 0

3 years ago

Nadia is a stockbroker.She earns 11% commission each week. Last week, she sold $7,000 worth of stocks. How much did she make the

Viktor [21]

Answer:

$770

$40,040

Step-by-step explanation:

Last week: 11% of $7,000

11% of $7000 = 11/100 × $7000 = $770

Full year is 52 weeks.

52 × $770 = $40,040

3 0

1 year ago

I need help with these questions

Leona [35]

The sum of all three angles of a triangle is always 180 degrees.

Step-by-step explanation:

4)

45 + 35.8 = a

180 - a = ?

5)

100 + 40.7 = a

180 - a = ?

6)

90 + 16.5 = a

180 - a = ?

ANSWER:

4) x = 99.2 (a is 80.8)

5) x = 39.3 (a is 140.7)

6) x = 73.5 (a is 106.5)

3 0

3 years ago

A right pyramid with a square base has a base edge length of 12 meters and slant height of 6 meters. The apothem is meters. The

Kisachek [45]

Answer:

Apothem: 6m

hypotenuse : slant height : 6√2 m

height :6m

volume: 288m2

Step-by-step explanation:

Hi, the correct values are: (image attached down below)

Base length= 12m

Slant height is actually = 6√2

So, to calculate the apothem (AC)we apply the Pythagorean theorem:

AB^2 = AC^2 + BC^2

√AB^2 -BC^2 = AC

AC = √(6√2)^2 - 6^2

AC =6 meters

Hypotenuse of ABC = AB =6√2 meters

Height = AC = 6 meters

Volume:

Volume of a pyramid = 1/3 x base area x height

area of a square = side length ^2 = 12^2

V= 1/3 x 12^2 x 6 =288 m2

7 0

4 years ago