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3 years ago

Over the school holidays Brianna worked

Mathematics

1 answer:

labwork [276]3 years ago

6 0

Answer:

8 shifts.

Step-by-step explanation:

Brianna worked a total of 44 hours stacking shelves.

If she worked $5\frac{1}{2}$ hour shifts,

How many shifts did she work?

So 1 shift takes 5.5 hours

The number of shifts she worked in 5.5 hours is;

$\frac{44}{5.5} * 1$ = 8 shifts.

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the hypotenuse of a 45°-45°-90° triangle measures 128 cm. What is the length of one leg of the triangle? 64 cm cm 128 cm cm

Kisachek [45]

Answer:

length of one leg of the triangle is 64 cm.

Step-by-step explanation:

Given : The hypotenuse of a 45°-45°-90° triangle measures 128 cm.

To find : What is the length of one leg of the triangle.

Solution : We have given that hypotenuse of a 45°-45°-90° triangle measures 128 cm.

By the 45°-45°-90° triangle rule ,

Perpendicular sides (legs) are equal .

Hypotenuse = √2 × either perpendicular side ( leg ).

128 = √2 × leg .

We can write 128 as 64 √2 and substitute in above

64√2 = √2 leg.

On dividing by √2 both sides and switching sides.

leg = 64 cm .

Therefore, length of one leg of the triangle is 64 cm.

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3 years ago

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

Anna007 [38]

Answer:

To find the maximum of a function in ax^2 + bx + c form, you can use the formula: maximum = c - (b^2 / 4a).

In this question, a = -16, b = 180, and c = 63.

Maximum = 63 - (180^2/4(-16))

Maximum = 569.25

Finally, rounding this to the nearest tenth of a foot, the final answer is 569.3 ft.

Let me know if this helps!

4 0

3 years ago

How many moles are in 4.23 x 1024 formula<br> units of NaCl

Rashid [163]

Answer:

mol Fe3O4 6.022 x 1023 formula units Fe3O4 = 1.20 x 1024 formula units Fe3O4. 1 mol ... a-How many moles of sodium chloride does the can of salt contain?

Step-by-step explanation:

4 0

3 years ago

Find the domain and range of f(x). Please explain your answer.<br> f(x) = √(x^2+5x+6)

timama [110]

Answer:

Domain:— [ x ≥ -2, x ≤ -3 ]

Range:— [ y ≥ 0 ]

Step-by-step explanation:

You may use graphing calculator to draw a graph and examine the graph’s domain and range. However, I’ll explain further about the graph of quadratic in a surd.

First, factor the quadratic expression in the surd:—

$\displaystyle \large{f(x)=\sqrt{(x+3)(x+2)}}$

We can find the x-intercepts by letting f(x) = 0.

I’ll be separating in two parts — one for finding x-intercept and one for finding y-intercept.

__________________________________________________________

Finding x-intercepts

Let f(x) = 0.

$\displaystyle \large{0=\sqrt{(x+3)(x+2)}}$

Solve for x, square both sides:—

$\displaystyle \large{0^2 = (\sqrt{(x+3)(x+2)})^2}\\\displaystyle \large{0=(x+3)(x+2)}$

Simply solve a quadratic equation:—

$\displaystyle \large{x=-3,-2}$

Therefore, x-intercepts are:—

$\displaystyle \large{\boxed{x=-3,-2}}$

__________________________________________________________

Finding y-intercept

Let x = 0.

$\displaystyle \large{f(x)=\sqrt{(0+3)(0+2)}}\\\displaystyle \large{f(x)=\sqrt{3 \cdot 2}}\\\displaystyle \large{f(x)=\sqrt{6}}$

Therefore, y-intercept is:—

$\displaystyle \large{\boxed{\sqrt{6}}}$

__________________________________________________________

However, I want you to focus on x-intercepts instead. We know that the square root only gives you a positive value. That means the range of function can only be y ≥ 0.

For domain, first, we have to know how or what the graph looks like. You can input the function in a graphing calculator as you’ll see that when x ≥ -2, the graph heads to the right while/when x ≤ -3, the graph heads to the left. This means that the lesser value of x-intercept gets left and more value get right.

See, between -3 < x < -2, there is no curve, point or anything between the interval. Therefore, -3 < x < -2 does not exist in function.

Hence, the domain is:—

x ≥ -2, x ≤ -3

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2 years ago

Mr Daniels is putting new floor tiles in this bathroom he has already tile 34 square feet of the floor measuring 5ft by 10ft wha

vaieri [72.5K]

68 percent of the floor has been tiled

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3 years ago