In an isosceles triangle, the measure of a base angle is (2x+5)° . At the vertex the measure of an exterior angle is (5x-3)°
There will be an extention at the vertex

The volume of pyramid R is 144 cubic inches.

We have to find the dimensions of pyramid Q using the given information:

Volume of pyramid Q = 96 cubic inches

The volume of a pyramid is given by the formula:

Volume = (1/3) * base area * height

Since pyramid Q has a rectangular base, let's assume its base has dimensions length (L), width (W), and height (h).

Volume of pyramid Q = (1/3) * (L * W) * h

We are given that the volume of pyramid Q is 96 cubic inches:

96 = (1/3) * (L * W) * h

Now, let's move on to pyramid R:

Base area of pyramid R = (1/2) * base area of pyramid Q

Base area of pyramid R = (1/2) * (L * W)

Height of pyramid R = 3 * height of pyramid Q

Height of pyramid R = 3 * h

Now, we can calculate the volume of pyramid R using the same volume formula:

Volume of pyramid R = (1/3) * (base area of pyramid R) * (height of pyramid R)

Volume of pyramid R = (1/3) * ((1/2) * (L * W)) * (3 * h)

Volume of pyramid R = (1/2) * (L * W) * (h)

We know that the volume of pyramid Q is 96 cubic inches,

so (L * W) * h = 96*3 = 288.

Now, let's substitute this value into the formula for the volume of pyramid R:

Volume of pyramid R = (1/2) * 288

Volume of pyramid R = 144 cubic inches

So, the volume of pyramid R is 144 cubic inches.

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Answer:

20 meters per second

Step-by-step explanation:

240/12

Answer: The average change in elevation per second is -20 meters.

Step-by-step explanation: If a glider descends 240 meters in 12 seconds, then it descends 20 meters in one second. However, because the glider is descending, then the value and slope of change must be negative.

The 25th battery replacement will occur in October.

What is Rate of change?

A rate is anything that can be measured over time. Common rates include velocity (which is the rate of distance traveled), power (rate of work being done), etc. All these have one thing in common which is that they are all divided by the amount of time it took to obtain a certain measurement.

The last time he changed his batteries was in May, so we know he needs to change them every 5 months. So we can figure out when he has to replace them for the 24th time. The first thing we need to do is figure out how many months have passed since he has to replace them 24 times a year.

[tex]\begin{aligned}5\text{ months}\cdot 24\text{ replacement}&= 120\text{ months}\end{aligned}[/tex]

From the amount of months we can calculate the amount of years that will pass.

120 months x  (12 months/ 1 year ) = 10 year

Adding 10 years to May results in 10 years later May, which is the month of the 24th replacement.

That is the 24th battery replacement will occur in May and therefore, the 25th battery replacement will occur in October.

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Answer:

Marty's function has larger slope as compared to Ethan's slope.

Step-by-step explanation:

Marty function:

y plus 3 equals StartFraction 1 Over 3 EndFraction left-parenthesis x plus 9 right-parenthesis.

Writing in mathematical form: [tex]y+3=\frac{1}{3}(x+9)[/tex]

Marty has written expression in point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is slope

So, comparing Marty's equation with general point-slope form equation we get slope [tex]m=\frac{1}{3}\:or\: 0.3[/tex]

Now, Ethan has a table

x        y

-4      9.2

-2      9.6

0       10

2       10.4

We can find slope using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Using any two points, we can find slope of Ethan's equation

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{9.6-9.2}{-2-(-4)} \\Slope=\frac{0.4}{-2+4} \\Slope=\frac{0.4}{2} \\Slope=0.2[/tex]

So, we get Marty's slope = 0.3

Ethan's slope = 0.2

So, Marty's function has larger slope as 0.3 is greater than 0.2

Answer:

C

Step-by-step explanation:

Answer:

36 cm

Step-by-step explanation:

3:2 = ?:24

24 / 2 = 12

12 * 3 = 36

Width = 36

Answer:

Hello. How's your day been so far?

Step-by-step explanation:

Answer:

Ya

Step-by-step explanation:

Answer: x=27

Step-by-step explanation: hope this helps!

Answer:

Answer: D

Step-by-step explanation:

Answer:

D.0.02

Step-by-step explanation:

D is the least number so that means its closer to 0. the higher the negative number goes the further away it gets from 0.

Answer:8 miles

Step-by-step explanation:

Answer:

6hours

Step-by-step explanation

2 2/5 / 1/5 = 12 or 2.4 / .2 = 12

1/2 * 12 = 6

Answer:

The indifference point is 4 hours.

Step-by-step explanation:

Giving the following information:

Waiter A:

Fixed cost= $20

Unitary variable cost= $5.5 per hour

Waiter B:

Fixed cost= $24

Unitary variable cost= $4.5

First, we structure the total cost formula for each waiter:

Waiter A= 20 + 5.5*x

Waiter B= 24 + 4.5*x

x= number of hours

Now, we equal both formulas and isolate x:

20 + 5.5x = 24 + 4.5x

1x = 4

x= 4

The indifference point is 4 hours.

Prove:

Waiter A= 20 + 5.5*4= $42

Waiter B= 24 + 4.5*4= $42

Consider the given equation is [tex]3-2x=15[/tex] and one of the 6 in the options is -6.

Given:

The equation is

[tex]3-2x=15[/tex]

To find:

The value of x.

Solution:

We have,

[tex]3-2x=15[/tex]

Subtracting 3 from both sides, we get

[tex]3-2x-3=15-3[/tex]

[tex]-2x=12[/tex]

Divide both sides by -2.

[tex]x=\dfrac{12}{-2}[/tex]

[tex]x=-6[/tex]

Therefore, the value of x is -6.

Answer:

6 m

.006 km  

6,000 mm

Step-by-step explanation:

Let's look at some conversions real quick:

1 cm --> 10 mm (multiply cm by 10)

1 cm --> 0.00001 km (divide cm by 100000)

1cm --> 0.01 m (divide cm by 100)

Now that this is laid out, lets do these conversions for 600 cm.

Meters (m) = 600/100 = 6 meters

Kilometers (km) = 600/100000 = .006km

Millimeters (mm) = 600 * 10 = 6,000 mm

I hope this helps!!

- Kay :)

Answer:

9

Step-by-step explanation:

60 × 15%

= 60 × 0.15

= 9

Answer:

Step-by-step explanation:

15*60=900/100

9

Answer:corvette correct

Step-by-step explanation:

2(x+6)=-36 2(x+6)=-36 2(x+6)=-36 2(x+6)=-36

Answer:

15 12 6

Step-by-step explanation:

edg

Answer: $310,000

Step-by-step explanation:

In 40 additional years, the amount she made less than her college counterparts was;

= 10,000 * 40

= $400,000

She however made $90,000 more than them as they went to college;

= 400,000 - 90,000

= $310,000

The long-term financial cost was $310,000.

Answer:

4 and 2 thirds or 4 2/3 <mixed number

Step-by-step explanation:

4+10=14

14/3n=4.666 repeating decimal or just 4 2/3

Answer:

whats you mean

Step-by-step explanation:

Answer: No, there isn't a proportional relationship.

Step-by-step explanation: In these type of problems, always divide. For it to be proportional, the number of children/ apple slices should be the same for all days. But it isn't, the value differs.

Answer:

3:2 is the proportional relationship

Step-by-step explanation:

Answer:

1 by 3 could be your answer

Answer:

D

Step-by-step explanation:

40/2=20

Answer:

give the other guy the thing

Step-by-step explanation:

Answer:

P(t)=1.12t+0.20

Step-by-step explanation:

Hope it helps lov

Answer:

50km = 0.33cm

280km = 1.87cm

142.5km = 0.95cm

Step-by-step explanation:

Ratio is 0.5/75 = 1/150 cm per km

Answer:

The correct answer to 2+45/6 is either 9.5 or 9 1/2.

Step-by-step explanation:

In order to solve 2 + 45/6, we need to turn the fraction into a decimal (by dividing the numerator by the denominator) and/or a mixed number (by dividing the numerator by the denominator, and marking the rest)

Step 1: Convert fraction into decimal/mixed number:

45/6 or 45 ÷ 6 = 7.5

45/6 = 7 3/6 or 7 1/2

Step 2: Add two to Both the decimal/mixed number:

7.5 + 2 = 9.5

7 1/2 + 2 = 9 1/2

Therefore, 2+45/6 is either 9.5 or 9 1/2.

Hope this helps! :D

Answer:

-1, 1, 3, 5, 7, 9

Just replace x in the equation y=2x+3 with the values given in the question

Answer:

one pound is equal to 16 oz

(3x16= 48)

(48+7=55)

55 ounces