Ask question

Ask question

All categories

1 year ago

10

A hiker travels 1.13 kilometers south, then travels 2.25 kilometers east. What’s the hiker’s displacement for the trip?

1 answer:

lara31 [8.8K]1 year ago

5 0

Answer:

Total displacement = 2.52 kilometers [south east] $a^2 + b^2 = c^2\\1.13^2 + 2.25^2 = c^2\\c^2 = 6.3394\\c = 2.52$

Step-by-step explanation:

By the Pythagorean Theorem:

You might be interested in

State how many imaginary and real zeros the function has.

myrzilka [38]

Hello,
Degre 5==> even number of imaginary roots and odd number of reals.

Real roots must be a divisor of 7.
Using Excel, we find

<span> <span><span> x P(x)
</span><span>-7 0 </span>
<span> -6 1369
</span> <span> -5 1352
</span> <span> -4 867
</span> <span> -3 400
</span> <span> -2 125
</span> <span> -1 24
</span><span>0 7
</span><span>1 32
</span><span>2 225
</span><span>3 1000
</span><span>4 3179
</span><span>5 8112
</span><span>6 17797
</span><span>7 35000

So: one real root: 7 and 4 imaginary roots.

Answer B
</span></span></span>

7 0

2 years ago

4. The current temperature is 8°F. The temperature is expected to be 3

mart [117]

A
Because 8 -x = -3

5 0

2 years ago

Read 2 more answers

Is the difference of two rational numbers always rational? Explain

Dominik [7]

The product of two integers is an integer; the difference of two integers is an integer; a rational is defined as one integer divided by another non-zero integer.<span>

the diference of two numbers is always rational</span>

5 0

2 years ago

3 semicircles are connected to 3 sides of a square. each side of the square measures 4 centimeters. what is the area of the comp

puteri [66]

The area of the composite figure with 3 semicircles connected to 3 sides of a square is (6π+16) $cm^{2}$ .

<h3 /><h3>What is a semicircle?</h3>

A semicircle is a plane shape that is a part of a circle divided into two equal parts through its diameter.

Analysis:

Since the semicircles are connected to 3 sides of a square 4cm, the diameter of the semicircle is 4cm.

Radius of semicircle = 4/2 = 2cm

Area of a semicircle = π $r^{2}$ /2 = $\pi$ $(2)^{2}$ /2 = 2π $cm^{2}$

For three semicircles = 3 x 2π $cm^{2}$ = 6π $cm^{2}$

Area of square = $s^{2}$ = $(4)^{2}$ = 16 $cm^{2}$

Area of composite figure = Area of 3 semicircles + area of square

Area of composite figure = (16 + 6π) $cm^{2}$

In conclusion, the area of the composite figure is (16 + 6π) $cm^{2}$ .

Learn more about area of plane shapes: brainly.com/question/20475473

#SPJ4

5 0

1 year ago

A bank loaned out $14000, part of it at the rate of 9% per year and the rest at 17% per year. If the interest received in one ye

WINSTONCH [101]

Using simple interest, it is found that $13,872 was loaned at 9%.

<h3>Simple Interest</h3>

The amount of money after t years in simple interest is modeled by:

$A(t) = P(1 + rt)$

In which:

P is the initial amount.

r is the interest rate, as a decimal.

The interest earned is:

$I(t) = Prt$

A bank loaned out $14000, in two parts, hence:

$P_2 = 14000 - P_1$

Part of it at the rate of 9% per year and the rest at 17% per year, hence:

$r_1 = 0.09, r_2 = 0.17$

The interest received in one year totaled $2000, hence:

$I_2 = 2000 - I_1$

Then:

$I_1 = 0.09P_1$

$I_2 = 0.17I_2$

$14000 - P_1 = 0.17(2000 - I_1)$

Isolating $I_1$ as a function of $P_1$ , then we can replace on the equation for the first interest.

$14000 - P_1 = 340 - 0.17I_1$

$0.17I_1 = -13660 + P_1$

$I_1 = \frac{P_1 - 13660}{0.17}$

Then:

$I_1 = 0.09P_1$

$\frac{P_1 - 13660}{0.17} = 0.09P_1$

$P_1 - 13660 = 0.0153P_1$

$0.9847P_1 = 13660$

$P_1 = \frac{13660}{0.9847}$

$P_1 = 13872$

$13,872 was loaned at 9%.

To learn more about simple interest, you can take a look at brainly.com/question/25296782

3 0

1 year ago