All categories

3 years ago

i have equal numbers of pennis nickels dimes and quarters. The total value of my coins is $2.05. altogether I have ___ coins.

Mathematics

1 answer:

stiv31 [10]3 years ago

3 0

Answer: It would be 5

Step-by-step explanation:

take one of each coin 1+5+10+25 which = 41

how many times does 41 go into 205

41x5=205

Hope this helps

You might be interested in

Write a number in the blank space so that the equation will have an infinite number of solutions

borishaifa [10]

Answer: 5

Step-by-step explanation:

3x + 5=3x - 5

7 0

3 years ago

3х + 9 = 10x + 9 - 7х Solution? CAN I PLEASEE GET HELPPP ASAPPP!

vampirchik [111]

The answer is equal to each other at my school we call it no solution

4 0

3 years ago

What is the equation of the line that passes through the point (-6,-5) and had a slope of 3/2

nadya68 [22]

Y =3/2x+4 i’d suggest using a website where u can plot the points then use the slop to make a line, and you figure out the equation easier :)

6 0

3 years ago

Please help me with this. Numbers 1-11

Slav-nsk [51]

Answer:

1. 8.378

2. 3.534

3. 12.566

4. 0.262 rad or $\frac{\pi }{12}$

5. 1.222 rad or $\frac{7\pi }{18}$

6. 5.236 rad or $\frac{5\pi }{3}$

7. 240°

8. 165°

9. 22.5°

10. 30° = $\frac{\pi }{6}$ radians

45° = $\frac{\pi }{4}$ radians

$\frac{\pi }{3}$ radians = 60°

$\frac{\pi }{2}$ radians = 90°

120° = $\frac{2\pi }{3}$ radians

$\frac{3\pi }{4}$ radians = 45°

$\pi$ radians = 180°

$\frac{3\pi }{2}$ radians = 270°

360° = $2\pi$ radians

11. 9.424 inches

Step-by-step explanation:

Problems 1-3:

S=r*Ф

S= arc length, r= radius, Ф= angle in radians

You need to convert the angle from degrees to radians before you can use it in the equation. You do this by multiplying it by pi and dividing by 180. Then you can plug this and the radius into the equation to solve for the arc length.

1) 120° x $\frac{\pi }{180}$ = 2.094 rad

S= 4 x 2.094 = 8.378

2) 135° x $\frac{\pi }{180}$ = 2.356 rad

S= 1.5 x 2.356 = 3.534

3) 240° x $\frac{\pi }{180}$ = 4.189 rad

S= 3 x 4.189 = 12.566

Problems 4-6:

4) 15° x $\frac{\pi }{180}$ = 0.262 rad or $\frac{\pi }{12}$

5) 70° x $\frac{\pi }{180}$ = 1.222 rad or $\frac{7\pi }{18}$

6) 300° x $\frac{\pi }{180}$ = 5.236 rad or $\frac{5\pi }{3}$

Problems 7-9:

7) $\frac{4\pi }{3} *\frac{180}{\pi } =$ 240°

8) $\frac{11\pi }{12} *\frac{180}{\pi } =$ 165°

9) $\frac{\pi }{8} *\frac{180}{\pi } =$ 22.5°

Problem 10:

30° = $\frac{\pi }{6}$ radians

45° = $\frac{\pi }{4}$ radians

$\frac{\pi }{3}$ radians = 60°

$\frac{\pi }{2}$ radians = 90°

120° = $\frac{2\pi }{3}$ radians

$\frac{3\pi }{4}$ radians = 45°

$\pi$ radians = 180°

$\frac{3\pi }{2}$ radians = 270°

360° = $2\pi$ radians

Problem 11:

S= r * Ф

S= 4 * $\frac{3\pi }{4}$

S= 3 $\pi$ = 9.424 inches

4 0

3 years ago

Read 2 more answers

What is the distance between point G (4,2) and the line through the points E(1,-2) and F(7, -2)? help please

sineoko [7]

Answer:

4 units

Step-by-step explanation:

Given

$G = (4,2)$

$E = (1,-2); F = (7,-2)$

Required

Determine the distance

We need to calculate the equation of EF

But first, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (1,-2)$

$(x_2,y_2) = (7,-2)$

So:

$m = \frac{-2 - (-2)}{7 - 1}$

$m = \frac{0}{6}$

$m = 0$

The equation is then calculated as:

$y - y_1 = m(x - x_1)$

Where

$m = 0$ and $(x_1,y_1) = (1,-2)$

$y - (-2) = 0(x - 1)$

$y +2 = 0$

So, we are to calculate the distance between point $G = (4,2)$ and line $y +2 = 0$

The distance is calculated using:

$d = \frac{|Ax_1 + By_1 + c|}{\sqrt{A^2 + B^2}}$

In $G = (4,2)$ , we have:

$(x_1,y_1) = (4,2)$

A general equation has $Ax + By + c = 0$ as its format

By comparison

$A = 0$

$B = 1$

$c = 2$

$d = \frac{|Ax_1 + By_1 + c|}{\sqrt{A^2 + B^2}}$ becomes

$d = \frac{|0 * 4 + 1 * 2 + 2|}{\sqrt{0^2 + 1^2}}$

$d = \frac{|0 + 2 + 2|}{\sqrt{0 + 1}}$

$d = \frac{|4|}{\sqrt{1}}$

$d = \frac{4}{1}$

$d = 4$

<em>Hence, the distance is 4 units</em>

5 0

3 years ago