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mario62 [17]
2 years ago
15

Please help me

Mathematics
1 answer:
Scilla [17]2 years ago
5 0

Answer:

Therefore, the original price of the hat is 22.5$.

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Is 1/2x -1 equivalent to 2/3(3/4x-3/2)
jasenka [17]

Answer:

128273

Step-by-step explanation:

$2200/month 66253

3 0
3 years ago
A water tank in the shape of an inverted circular cone has a base radius of 3 m and height of 7 m . If water is being pumped int
Wittaler [7]

The water level increases by 0.608 meters per minute when the water is 3.5 m deep

<h3>How to determine the rate?</h3>

The given parameters are:

  • Radius, r = 3
  • Height, h = 7
  • Rate in, V' = 4.3m^3/min

The relationship between the radius and height is:

r/h = 3/7

Make r the subject

r = 3h/7

The volume of a cone is;

V = \frac 13\pi r^2h

This gives

V = \frac 13\pi (\frac{3h}{7})^2h

Expand

V =  \frac{3h^3}{49}\pi

Differentiate

V' = \frac{9h^2}{49}\pi h'

Make h' the subject

h' = \frac{49}{9\pi h^2}V'

When the water level is 3.5.

We have:

h' = \frac{49}{9\pi * 3.5^2}V'

Also, we have:

V' = 4.3

So, the equation becomes

h' = \frac{49}{9\pi * 3.5^2} * 4.3

Evaluate the products

h' = \frac{210.7}{346.36}

Evaluate the quotient

h' = 0.608

Hence, the water level increases by 0.608 meters per minute

Read more about volumes at:

brainly.com/question/10373132

#SPJ1

7 0
2 years ago
We have seen that isosceles triangles have two sides of equal length. The angles opposite these sides have the same measure. Use
Naddik [55]

Question has missing figure, the figure is in the attachment.

Answer:

The measure of ∠1 is 65°.

The measure of ∠2 is 65°.

The measure of ∠3 is 50°.

The measure of ∠4 is 115°.

The measure of ∠5 is 65°.

Step-by-step explanation:

Given,

We have an isosceles triangle which we can named it as ΔABC.

In which Length of AB is equal to length of BC.

And also m∠B is equal to m∠C.

ext.m∠C= 115°(Here ext. stands for exterior)

We have to find the measure of angles angles 1 through 5.

Solution,

For ∠1.

∠1 and ext.∠C makes straight angle, and we know that the measure of straight angle is 180°.

So, we can frame this in equation form as;

\angle1+ext.\angle C=180\°

On putting the values, we get;

\angle 1+115\°=180\°\\\\\angle1=180\[tex]\therefore m\angle2=65\°-115\°=65\°[/tex]

Thus the measure of ∠1 is 65°.

For ∠2.

Since the given triangle is an isosceles triangle.

So, m\angle1=m\angle2

Thus the measure of ∠2 is 65°.

For ∠3.

Here ∠1, ∠2 and ∠3 are the three angles of the triangle.

So we use the angle sum property of triangle, which states that;

"The sum of all the angles of a triangle is equal to 180°".

\therefore \angle1+\angle2+\angle3=180\°

Now we put the values and get;

65\°+65\°+\angle3=180\°\\\\130\°+\angle3=180\°\\\\\angle3=180\°-130\°=50\°

Thus the measure of ∠3 is 50°.

For ∠4.

∠4 and ∠2 makes straight angle, and we know that the measure of straight angle is 180°.

So, we can frame this in equation form as;

\angle2 +\angle 4 =180\°

Substituting the values of of angle 2 to find angle 4 we get;

65\°+ \angle 4 = 180\°\\\\ \angle 4 = 180\°-65\°\\\\\angle 4= 115\°

Thus the measure of ∠4 is 115°.

For ∠5.

∠4 and ∠5 makes straight angle, and we know that the measure of straight angle is 180°.

So, we can frame this in equation form as;

\angle4 +\angle 5 =180\°

Substituting the values of of angle 4 to find angle 5 we get;

115\°+ \angle 5 = 180\°\\\\ \angle 5 = 180\°-115\°\\\\\angle 5= 65\°

Thus the measure of ∠5 is 65°.

Hence:

The measure of ∠1 is 65°.

The measure of ∠2 is 65°.

The measure of ∠3 is 50°.

The measure of ∠4 is 115°.

The measure of ∠5 is 65°.

6 0
3 years ago
For what value(s) of k is the trinomial x² + kx - 24 factorable?
Elza [17]

Answer:

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4 0
3 years ago
Which equation is equivalent to 9x+4y=16
g100num [7]

Answer:

8x time 2x= 16

4 0
3 years ago
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