All categories

3 years ago

Help please!!! show work aswell

Mathematics

1 answer:

Allushta [10]3 years ago

8 0

Answer:

Radius of the given circle = 24 inches

Step-by-step explanation:

A = πr²

=> 1810 = πr²

=> 1810/π = r²

=> 576.14 = r²

=> $\sqrt{576.14}$ = r

=> 24.003 = r

=> Rounded to the nearest whole number = 24

=> <u>Radius of the given circle = 24 inches</u>

Hope this helps!

You might be interested in

Simplify 455 degrees

stealth61 [152]

Answer:

Step-by-step explanation:

(-455)-(-233)+(234)

-455+233+234

(233+234)-455

467-455

12(answer)

8 0

3 years ago

Which construction is being shown in the diagram?

11Alexandr11 [23.1K]

Answer:

Correct answer is option <em>D)</em> Construct the bisector of an angle.

Step-by-step explanation:

Angle bisector of an angle is a line that divides the angle in two equal parts.

A Line <em>BD</em> is called the angle bisector of $\angle ABC$ if

$\angle ABD = \angle CBD$

Please refer to image attached.

As per the question image, if the line PW is joined it will be the angle bisector of $\angle QPR$ .

Steps of construction of angle bisector:

1. Draw the angle QPR.

2. Open compass and make an arc that will cut the two lines on points Q and R respectively as shown in question figure.

3. With the same compass opening, put the compass on Q and make an arc in the area between $\angle QPR$ .

4. Draw an arc keeping the compass on R to cut the previous arc on point W.

Line joining the points P and W is the angle bisector of $\angle QPR$ .

So, Correct answer is option <em>D)</em> Construct the bisector of an angle.

6 0

3 years ago

Suppose you have a bag containing 2 black marbles and 3 red marbles. You reach into the bag, select a marble, see what color it

TiliK225 [7]

Answer:

$\dfrac{9}{25}$

Step-by-step explanation:

Given that the bag contains black and red marbles.

Number of black marbles in the bag = 2

Number of red marbles in the bag = 3

Total number of marbles in the bag = Number of black marbles + Number of red marbles = 2 + 3 = 5

Let us have a look at the formula for probability of an event E, which can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

$P(\text{First red marble}) = \dfrac{\text{Number of red marbles}}{\text{Total number of marbles}} = \dfrac{3}{5 }$

Now, the marble chosen at first is replaced.

Therefore, the count remains the same.

$P(\text{Second red marble}) = \dfrac{\text{Number of red marbles}}{\text{Total number of marbles}} = \dfrac{3}{5}$

Now, the <em>required probability</em> can be found as:

$P(\text{First red marble})\times P(\text{Second red marble}) = \dfrac{3}{5}\times \dfrac{3}{5} = \bold{\dfrac{9}{25} }$

3 0

3 years ago

Choose the correct simplification of x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4t

Umnica [9.8K]

Answer:

<h3>The option A) $x^{10}z^7$ is correct answer.</h3><h3>The correct simplification for the given expression $\frac{x^{12}\times z^{11}}{x^2\times z^4}$ is $x^{10}z^7$ </h3>

Step-by-step explanation:

Given expression is x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4th power.

The given expression can be written as $\frac{x^{12}\times z^{11}}{x^2\times z^4}$

<h3>To choose the correct simplification of the given expression :</h3>

Now we have to simplify the given expression as below

$\frac{x^{12}\times z^{11}}{x^2\times z^4}$

$=x^{12}\times z^{11}(x^{-2}\times z^{-4})$ ( by using the identity $\frac{1}{a^m}=a^{-m}$ )

$=(x^{12}.x^{-2})\times (z^{11}.z^{-4})$

$=x^{12-2}\times z^{11-4}$ ( by using the identity $a^m.a^n=a^{m+n}$ )

$=x^{10}\times z^7$

$=x^{10}z^7$

∴ $\frac{x^{12}\times z^{11}}{x^2\times z^4}=x^{10}z^7$

<h3>The correct simplification for the given expression $\frac{x^{12}\times z^{11}}{x^2\times z^4}$ is $x^{10}z^7$ </h3><h3>Hence option A) $x^{10}z^7$ is correct answer.</h3>

4 0

3 years ago

a plant grew 1/8 inches last week 3/8 inch this week how many inches did the plant grow in the last 2 week

Vladimir79 [104]

1/2 inches.................................

4 0

3 years ago

Read 2 more answers