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tamaranim1 [39]

3 years ago

14

Lincoln has a coin collection. He keeps 3 of the coins in his box, which is 5% of the collection. How many total coins are in hi

s collection?

2 answers:

Lorico [155]3 years ago

7 0

Answer:

3 times 20 equals 60

Step-by-step explanation:

daser333 [38]3 years ago

3 0

Answer:

60

Step-by-step explanation:

is/of = %/100

'x' = # coins

3/x = 5/100

cross-multiply

5x = 300

x = 60

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Determine the measure of each segment then indicate whether the statements are true or false

kupik [55]

Answer:

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)

B(2, 5)

Finding the length of AB using the formula

$d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}$

$=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}$

$=\sqrt{6^2+1}$

$=\sqrt{36+1}$

$=\sqrt{37}$

$d_{AB}\:=\sqrt{37}$

$d_{AB}=6.08$ units

Given the vertices of the segment JK

J(2, 2)

K(7, 2)

From the graph, it is clear that the length of JK = 5 units

so

$d_{JK}=5$ units

Given the vertices of the segment GH

G(-5, -2)

H(-2, -2)

Finding the length of GH using the formula

$d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}$

$=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}$

$=\sqrt{3^2+0}$

$=\sqrt{3^2}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$d_{GH}\:=\:3$ units

Thus, from the calculations, it is clear that:

$d_{AB}=6.08$

$d_{JK}=5$

$d_{GH}\:=\:3$

Thus,

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

8 0

3 years ago

Sajia has 30 Books in her library. she sold 9 books at the thrift store on Saturday. Write and solve and inequality to determine

ELEN [110]

Sajia can sell 21 books she can sell if she comes back on sunday and the required inequality is $9 + x \leq 30$

<em><u>Solution:</u></em>

Given that Sajia has 30 Books in her library

She sold 9 books at the thrift store on Saturday

To find: We have to write and solve an inequality to determine number of more books she can sell if she comes back on sunday

Let "x" be the number of more books she can sell if she comes back on sunday

<em><u>We can write a inequality as:</u></em>

$\text{ books already sold } + \text{ number of books remaining } \leq \text{ total number of books she has }$

$9 + x \leq 30$

Now moving 9 from L.H.S to R.H.S we get,

$x \leq 30 - 9$

On solving 30 - 9 = 21,

$x \leq 21$

So Sajia can sell 21 books she can sell if she comes back on sunday

6 0

3 years ago

He nine ring wraiths want to fly from barad-dur to rivendell. rivendell is directly north of barad-dur. the dark tower reports t

kiruha [24]

This problem is better understood with a given figure. Assuming that the flight is in a perfect northwest direction such that the angle is 45°, therefore I believe I have the correct figure to simulate the situation (see attached).

Now we are asked to find for the value of the hypotenuse (flight speed) given the angle and the side opposite to the angle. In this case, we use the sin function:

sin θ = opposite side / hypotenuse

sin 45 = 68 miles per hr / flight

flight = 68 miles per hr / sin 45

<span>flight = 96.17 miles per hr</span>

6 0

3 years ago

I need help on this question <br> pls help yes

galina1969 [7]

The arc length of the semicircle is 5π units

<h3>Calculating length of an arc</h3>

From the question, we are to calculate the arc length of the semicircle

Arc length of a semicircle = 1/2 the circumference of the circle

∴ Arc length of a semicircle = 1/2 × 2πr

Arc length of a semicircle = πr

Where r is the radius

From the given information,

r = 5

∴ Arc length of the semicircle = 5 × π

Arc length of the semicircle = 5π units

Hence, the arc length of the semicircle is 5π units

Learn more on Calculating length of an arc here: brainly.com/question/16552139

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2 years ago

D/dx [tan^-1 (x)] find the derivative

Eva8 [605]

From my notes I’ve the derivative of arctan(x)= 1/(1+x^2)

7 0

3 years ago