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3 years ago

I NEED HELP PLS ON THIS QUESTION ON MY STUDY GUIDE

Mathematics

1 answer:

matrenka [14]3 years ago

7 0

Answer:

4(n + 3) = 60

Step-by-step explanation:

In the question it says '3 more than the usual' and that is a big hint that it is 4(n + 3) = 60

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A leaf is falling from the top of a tree. The height of the leaf in feet, y, can be found using the function y = -3.5x + 28, whe

Bess [88]

Answer:

It took 8 seconds for the leaf to reach the ground.

Step-by-step explanation:

The height of the leaf in feet can be found using the function:

y = -3.5*x + 28

where x is the time in seconds the leaf has been in the air.

You want to know how long it took for the blade to reach the ground. That is, the time it took for the blade to reach a height of 0 feet. So, replacing this value in the expression:

0= -3.5*x + 28

and solving you get:

-28= -3.5*x

(-28)÷ (-3.5)=x

8=x

<u><em> It took 8 seconds for the leaf to reach the ground.</em></u>

5 0

3 years ago

What is the simplified form of 0.2 to the fifth power?

Tanya [424]

Answer:

0.32

Step-by-step explanation:

0.2 to the fifth power is 0.00032, so that simplified is 0.32.

3 0

3 years ago

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A rhombus has a side length equal to one of the diagonals. The other diagonal is 4cm longer. Find the area of the rhombus.

klasskru [66]

Answer:

The area of the rhombus is 25.83 cm².

Step-by-step explanation:

The area of a rhombus is given by:

$A = \frac{d_{1} \times d_{2}}{2}$

Where:

d₁: is one diagonal

d₂: is the other diagonal = d₁ + 4 cm

We know that one side length of the rhombus is equal to d₁. We can imagine a right triangle inside the rhombus, with the following dimensions:

h: hypotenuse of the right triangle

a: one side of the right triangle

b: is the other side of the right triangle

From the above we know that:

h = d₁

$a = \frac{d_{2}}{2} = \frac{d_{1} + 4}{2}$

$b = \frac{d_{1}}{2}$

We can find d₁ with Pitagoras:

$h^{2} = a^{2} + b^{2}$

$d_{1}^{2} = (\frac{d_{1} + 4}{2})^{2} + (\frac{d_{1}}{2})^{2}$

$d_{1}^{2} = \frac{1}{4}(d_{1}^{2} + 8d_{1} + 16 + d_{1}^{2})$

By solving the above quadratic equation for d₁ and taking the positive solution we have:

$d_{1} = 5.46 cm$

So, d₂ is:

$d_{2} = d_{1} + 4 = 5.46 cm + 4 cm = 9.46 cm$

Now, we can find the area:

$A = \frac{d_{1} \times d_{2}}{2} = \frac{5.46 cm \times 9.46 cm}{2} = 25.83 cm^{2}$

Therefore, the area of the rhombus is 25.83 cm².

I hope it helps you!

3 0

3 years ago

Find the common difference of the arithmetic sequence.

Vadim26 [7]

The common difference is 5
13+5=18+5=23+5=28

4 0

3 years ago

The number has 4 digits

Anvisha [2.4K]

I'm sorry....Where is the number??

6 0

3 years ago

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