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3 years ago

5

Write a division problem whose quotient has its first digit in the hundreds place.

1 answer:

Dominik [7]3 years ago

7 0

-- 500 divided by 5

-- 17,684 divided by 58.4

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Hi i need help below thank you 32 POINTS

lara [203]

A = (pi) * r*2
(pi) = 3.14
r = d/2.....r = 17/2 or 8.5

A = 3.14 * 8.5^2
A = 3.14 * 72.25
A = 226.86 rounds to 226.9 m^2 <==

6 0

2 years ago

Four times a number minus twice another number is -8. The sum of the two number is 19.Find the numbers

grigory [225]

1. To solve this exercise, you must make a system of equations.

2. You have that f<span>our times a number minus twice another number is -8:
</span>
4x-2y=-8

3. And t<span>he sum of the two number is 19:
</span>
x+y=19

4. As you can see, you have two equations:

4x-2y=-8 (i)
x+y=19 (ii)

5. Let's clear the "x" from the equation (ii):

x=19-y

6. Now, you need to susbtitute x=19-y into the equation (i):

4x-2y=-8
4(19-y)-2y=-8
76-4y-2y=-8
76-6y=-8
-6y=-8-76
-6y=-84
y=-84/-6
y=14

7. You must susbstitute y=14 into the equation (ii) and clear "x":

x+y=19
x+14=19
x=19-14
x=5

The answer is: 5 and 14

6 0

3 years ago

5a^5+60a^5-45a^4/15a^4

Artemon [7]

So basically, for this you would be combining like-terms and simplifying. This will give you -3a^8+65a^5

4 0

3 years ago

Which of the following is a solution to 2cos2x − cos x − 1 = 0?

Pavel [41]

Answer:

Option A is correct.

Solution for the given equation is, $x = 0^{\circ}$

Step-by-step explanation:

Given that : $2\cos^2x -\cos x -1 =0$

Let $\cos x =y$

then our equation become;

$2y^2-y-1= 0$ .....[1]

A quadratic equation is of the form:

$ax^2+bx+c =0$ .....[2] where a, b and c are coefficient and the solution is given by;

$x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Comparing equation [1] and [2] we get;

a = 2 b = -1 and c =-1

then;

$y = \frac{-(-1)\pm \sqrt{(-1)^2-4(2)(-1)}}{2(2)}$

Simplify:

$y = \frac{ 1 \pm \sqrt{1+8}}{4}$

or

$y = \frac{ 1 \pm \sqrt{9}}{4}$

$y = \frac{ 1 \pm 3}{4}$

or

$y = \frac{1+3}{4}$ and $y = \frac{1 -3}{4}$

Simplify:

y = 1 and $y = -\frac{1}{2}$

Substitute y = cos x we have;

$\cos x = 1$

⇒ $x = 0^{\circ}$

and

$\cos x = -\frac{1}{2}$

⇒ $x = 120^{\circ} \text{and} x = 240^{\circ}$

The solution set: $\{0^{\circ}, 120^{\circ} , 240^{\circ}\}$

Therefore, the solution for the given equation $2\cos^2x -\cos x -1 =0$ is, $0^{\circ}$

8 0

3 years ago

Read 2 more answers

You have inherited land that was purchased for $25,000 in 1970. The value of the land has appreciated by

Darina [25.2K]

Answer:

Future value of land = 25,000[1.04]³⁰

Future value of land = $81,084 (Approx.)

Step-by-step explanation:

Given:

Purchase cost of land in 1970 = $25,000

Application rate = 4% per year

Find:

Price of land in 2000

Computation:

Number of year = 2000 - 1970 = 30 year

Future value of land = [Purchase cost of land][1+Application rate]ⁿ

F = P[1+r]ⁿ

Future value of land = 25,000[1+4%]³⁰

Future value of land = 25,000[1+0.04]³⁰

Future value of land = 25,000[1.04]³⁰

Future value of land = 25,000[3.24339]

Future value of land = 81,084.75

Future value of land = $81,084 (Approx.)

5 0

3 years ago