6. A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 16 cm, a width of 6 cm, and a height of 8 cm. The pyramid has a height of 14 cm. Find the volume of the composite space figure.

Mode is the number that is shown the most.

Answer: 1. Most

Answer:

Step-by-step explanation:

The perimeter of an equilateral triangle is:

P = 3a (where a any length of the triangle)

The area of an equilateral triangle is:

[tex]A = \frac{\sqrt{3} }{4} a^{2}[/tex] (where a is the side length)

Using the area formula we can rearrange it to get the formula of the length of the equilateral triangle:

[tex]a = \frac{2}{3} 3^{\frac{3}{4} } \sqrt{A}[/tex]

Then three important formulas are

[tex]\\ \rm\Rrightarrow Perimeter=3s[/tex](As sides are equal)

[tex]\\ \rm\Rrightarrow Area=\dfrac{\sqrt{3}}{4}s^2[/tex]

[tex]\\ \rm\Rrightarrow Height=\dfrac{\sqrt{3}s}{2}[/tex]

Answer:

c

Step-by-step explanation:

Answer:

algebraically" whether a function is even or odd. To do this, you take the function and plug −x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (−x) = f (x), so all of the signs are the same), then the function is even

Step-by-step explanation:

Even functions are symmetrical about the y-axis: f(x)=f(-x). Odd functions are symmetrical about the x- and y-axis: f(x)=-f(-x)

Answer: 12

Step-by-step explanation:

     A straight line has a measurement of 180° so these two angles added together will equal 180°.

     (10x - 20)° + (6x + 8)° = 180°

     10x° + 6x° + 8° - 20° = 180°

     16x° -12° = 180°

     16x° = 192°

     x = 12

Supplementary angles

Answer:

Represents decay ( because .72 < 1  )

The amount decreases 72% each 'x' time period

Step-by-step explanation:

Answer: 75$

Step-by-step explanation:

1/4 is equal to 25/100.

meaning that 1/4 is 25 out of 100.

Based on that, if we subtract 25 from 100 we get 75.

Answer:

2.5%

Step-by-step explanation:

Simple interest formula

I = Prt

where:

Given:

Substituting given values into the formula and solving for r:

⇒ 60 = 800 · r · 3

⇒ 60 = 2400r

⇒ r = 0.025

Converting r to percentage:

0.025 × 100% = 2.5%

Answer:

2.5%

Step-by-step explanation:

Given:

Formula:

Simple interest = (Principle × Rate × Time)/100

Substitute the principle, time and the interest in the formula to determine the rate of interest per annum.

[tex]\implies 60 = \dfrac{ (800 \times \text{Rate} \times 3)}{100}[/tex]

Divide 100 to 800 as 800 is the only number in the equation that is divisible by 100.

[tex]\implies 60 ={ (800 \div 100)\times \text{Rate} \times 3}[/tex]

[tex]\implies60 ={ 8\times \text{Rate} \times 3}[/tex]

Simplify both sides of the equation:

[tex]\implies60 ={ 24\times \text{Rate}}[/tex]

Divide both sides by 24.

[tex]\implies\dfrac{60}{24} =\dfrac{{ 24\times \text{Rate}}}{24}[/tex]

Simplify both sides as needed:

[tex]\implies\dfrac{60}{24} = \text{Rate}[/tex]

[tex]\implies\dfrac{60 \div 12}{24 \div 12} = \text{Rate}[/tex]

[tex]\implies \text{Rate} = \dfrac{5}{2} = 2.5[/tex]

Thus, the rate of interest per annum is 2.5%.

Hey ! Buddy

Find the value of x .

We have to find the value of x .

The concept of this question belongs to the sum of all the three interior angles of triangle i.e. sum of all the three interior angles of triangle is equal to 180° .

As we know that sum of all the three interior angles of triangle is equal to 180° . So ,

[tex] \rightarrow \: Angle \: 1 + Angle \: 2 \: + Angle \: 3= 180°[/tex]

Now , substituting values of Angle 1 , 2 and 3 :

[tex] \longmapsto \: x° + 43° + 36° = 180° [/tex]

Now , adding 43 and 36 in right hand side :

[tex] \longmapsto \: x° + 79° = 180° [/tex]

Now , transposing 79° to right hand side :

[tex] \longmapsto \: x° = 180° - 79° [/tex]

Now , subtracting 79° from 180° :

[tex] \longmapsto \: \pink{\boxed{ { \bold{x° = 101°}}}}[/tex]

Answer:

[tex](x-6)^{2} +(y-7)^{2} =81[/tex]

Step-by-step explanation:

The general equation for a circle is

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex] where (h,k) is the center of the circle and r is the radius

Plug in the (6,7) for the center and 9 for r

Answer:

the answer is 725.71

Step-by-step explanation:

Answer: C

Step-by-step explanation:

This is a Pythagorean triple.

The bond's time to maturity for the Ford bond based on the present date and the maturity date is 77 years 6 months.

The time to maturity for a bond is the length of time that a bondholder would receive interest payments on the bonds held. It is the difference between the present date and the matuity date of the bond.

Time to maturity = May 15 2097 - November 16, 2020 = 77 years 6 months

To learn more about bonds, please check: https://brainly.com/question/13326746

Answer:

yes, we can write zero in the form of p/q.

[example] that is 0/3, 0/5...

Answer:

→ Compare the 2 grade A's

School B's is higher

→ Compare the 2 grade B's

School B's is higher

→ Now formulate a brief response

School B has more entrants in the exam and therefore has a higher proportion of students achieving top grades

Answer:

17 because 2 is taken from 18 and 18-2=16 but 17 and 17 is close to 16

Answer:

D, n=16b

Step-by-step explanation:

There are 16 busses, each of which can hold 16 seats. There are n of those busses.

Therefore, 16*n = the total number of seats on the busses altogether.

The pair of algebraic expressions which are like terms is; 20x and 0.8x.

Algebraic expressions are pronounced as like terms if the terms contain the same variable raised to the same exponent.

check all options:

20x, 0.8x

same variable and exponent

17, 3x

Not same variable

14x, 14x²

Same variable, not same exponent

0.5x, 0.5y

Not same variable

On this note, it follows that the terms 20x and 0.8x are like terms.

Read more on like terms;

https://brainly.com/question/480769

Answer:

C. dialtion

Step-by-step explanation:

A dialtion either reduces or enlarges the dimensions of a shape, causing for them to no longer be congruent.

A reflection wouldn't change the congruency of the shape since it is just reflecting it across whatever axis. The dimensions stay the same.

A rotation would simply rotate/turn the shape. The dimensions would not be changed.

A translation would slide the shape elsewhere whether it be vertically, horizontally, or diagonally. The dimensions would not change.

Therefore, we can conclude that option C makes the most sense.

hope this helps!

Answer:

4 years

Step-by-step explanation:

basically, multiple 16,250 by 107.9%, get the product and multiply that product by 107.9%+ 7.9% and keep on doing that until you eventually get to about 33,000 which is a bit more than double 16,250 but 4 years is still the minimum years it will take to get AT LEAST double. :)

Answer:

200

Step-by-step explanation:

156.7

since the number before the hundred is more than 4

it becomes 200

Answer:

4a²-8a+4

Step-by-step explanation:

[tex](2a-2)^{2} =(2a-2)(2a-2)[/tex]

[tex](2a-2)(2a-2) = 4a^{2} -4a-4a+4[/tex]

[tex]4a^{2} -4a-4a+4=4a^{2} -8a+4[/tex]

Answer:

answer 436 tubig is water halimaw is monster ang Ganda mo Sana kaso ang height mo pang kinder

Step-by-step explanation:

answer is 436 I hope it helps

Answer:

22 MPG

Step-by-step explanation:

The miles and the gallons result in the formula Miles per gallon. Which can be substituted as (341 miles) per (15.5 gallons). If you simplify it, the result is  22miles per gallon.

Answer: B

Step-by-step explanation:

well, she put 130 bucks, and then she got back 132.6 after one year, so the interest earned is 132.6 - 130 = $2.6, thus

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$2.60\\ P=\textit{original amount deposited}\dotfill & \$130\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 2.60 = (130)(\frac{r}{100})(1)\implies 2.6=\cfrac{130r}{100}\implies 260=130r \\\\\\ \cfrac{260}{130}=r\implies 2=r[/tex]

Answer:

yes

Step-by-step explanation:

Answer:

C. 16(0.5x - 0.75y + 2) = 8x - 12y + 32

Step-by-step explanation:

Answer:

Yeah I got the answer

Step-by-step explanation:

C option is correct

We will have to take common like this

. 16(0.5x - 0.75y + 2) = 8x - 12y + 32

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

39600

Step-by-step explanation

for the amount of minutes we'll multiply 11*60

11*60=660

for the amount of seconds we'll multiply the amount of minutes by 60 so

660*60=39600

Answer:

Step-by-step explanation:

so, 50+75=125.

180-125=55.

There can be-

130, 95, and 125