Calculate the volume of the regular triangular pyramid

with the base edges of length 17 feet and a height of

length 5 feet. (Hint: Remember that the base of a

regular triangular pyramid must be an equilateral triangle, not

necessarily congruent to the sides of the pyramid.)

Answer:

Step-by-step explanation:

9x^3,15x^5= 3x^3

The GCF is constructed by multiplying all the factors that are common to all the given expressions, exponentiated to the smallest power.

In our example, the following factors are common to all the given expressions: 3, x^3

Therefore, the GCF is equal to 3x^3.

Answer:

Step-by-step explanation:

3(m-12)+8

x=m-12

Answer

[tex] \boxed{10 \: \: units}[/tex]

Step by step explanation

Let the points be A and B

A ( 5 , 1 ) ⇒ ( x₁ , y₁ )

B ( -3 , -5 )⇒ ( x₂ , y₂ )

Now, let's find the distance between theses two points:

Distance = [tex] \mathsf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]

Plug the values

[tex] \mathsf{ \sqrt{ {( - 3 - 5)}^{2} + {( - 5 - 1)}^{2} } }[/tex]

Calculate

[tex] \mathsf{ \sqrt{ { ( - 8)}^{2} + {( - 6)}^{2} } }[/tex]

Evaluate the power

[tex] \mathsf{ \sqrt{64 + 36} }[/tex]

Add the numbers

[tex] \mathsf{ \sqrt{100} }[/tex]

Write the number in exponential form with a base of 10

[tex] \mathsf {\sqrt{ {10}^{2} } }[/tex]

Reduce the index of the radical and exponent with 2

[tex] \mathsf{10 \: units}[/tex]

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The distance formula is used to determine the distance ( d ) between two points. If the co-ordinates of the two points are ( x₁ , y₁) and ( x₂ , y₂ ) , the distance equals the square root of x₂ - x₁ squared + y₂ - y₁ squared.

Hope I helped!

Best regards!

Answer:

The cost of renting the car for 20 days is $481

Step-by-step explanation:

The table of values can be formed as follows;

Day,   Cost

1,         $44

2,        $67

3,        $90

4,        $113

7,        $182

10,      $251

From the given values and the scatter plot, there is a straight line relationship between the cost and the number of days of rental of a car.

The line of best fit is therefore a straight line and from the constant increase in cost ($23) for each extra day of rental, it is possible to find the slope, m, of the data as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

(x₁, y,) and (x₂, y₂) can be taken as (1, $44) and (3, $90) respectively to give;

[tex]Slope, \, m =\dfrac{90-44}{3-1} = \dfrac{46}{2} = 23 \ as \ stated \ above[/tex]

The equation in slope and intercept form is therefore, y  - 44 = 23×(x - 1), which gives;

y - 44 = 23·x - 23

y = 23·x - 23 + 44 = 23·x + 21

The cost of renting the car for 20 days is then;

10×23 + 21 = $481

The cost of renting the car for 20 days = $481.

Answer:

[tex]6x^{2} +37x+45[/tex]

Step-by-step explanation:

Hello!

A trinomial is a algebraic expression containing 3 terms

To turn this into a trinomial we have to multiply everything by each other

              3x              

3x * 2x = 6x^2

3x * 9 = 27x

              5              

5 * 2x = 10x

5 * 9 = 45

Now we put it all together

6x^2 + 27x + 10x + 45

Combine like terms

6x^2 + 37x + 45

The answer is [tex]6x^{2} +37x+45[/tex]

Hope this helps!

Answer:

The volume of the object is 100 cubic centimeters (100cm³)

Answer: The fourth option. if you round, 200 * 20, 1800 is found out to be much too low.

Step-by-step explanation:

Answer:

Her estimate is too low because 200 * 20 = 4000

Step-by-step explanation:

Take 19 and round to 20

Take 212 and round to 200

20 * 200 =4000

Her estimate is low

Answer:

(I) 17.25 miles

(ii) 1hr56mins20seconds

(III) 4hrs47mins38seconds

Step-by-step explanation:

(I) read from the lowest distance given

(ii) read from the longest time given

(III) added all times together to get total cycling time

Step-by-step explanation:

here,

shortest distance is 17.25 miles

the longest time is 1:56:20 hrs:mins:secs

total time is 4:47:38

Step-by-step explanation:

A student divided the given number by 100 that resulted to 28.003 in his chart. So what we are looking for in the given situation is that the value of the number before it was divided by 100.

To get the desired value, we can simply multiply the obtained result by 100

=> 28.003 x 100

=> 2800.3

So, by dividing 100 to the given number, we simply move the value to the right in a value of hundreds.

Answer:

Hope this helps you.

Step-by-step explanation:

I plugged in x for t, but it is the same graph.

Answer:

1 pint

Step-by-step explanation:

You need 2 * 2 = 4 pints to make 12 cookies. Since 3 cookies is 1/4 of 12 cookies, you would need 1/4 * 4 = 1 pint of milk to make 3 cookies.

Answer:

1 pint

Step-by-step explanation:

12c=4p

divide both sides by 4

3 cookies needs 1 pint!!!!

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

       ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                      PEACE!

[tex]a. $ x = 23^{\circ}\\b. $ m \angle ECH =28^{\circ}\\c. $ m\angle HCD = 62^{\circ}\\d. $ m \angle GCF = 28^{\circ}\\e. $ m \angle ECG = 152^{\circ}\\f. $ m \angle GCD = 118^{\circ}[/tex]

Given:

[tex]m \angle ECH = x + 5\\m \angle HCD = 3x - 7[/tex]

Note the following:

Since CD is perpendicular to EF, therefore:

[tex]m \angle ECD = 90^{\circ}\\m \angle FCD = 90^{\circ}[/tex]

Thus:

a. Find x

[tex]m \angle ECH + m \angle HCD = m \angle ECD[/tex]

Substitute

[tex](x + 5) + (3x - 7) = 90[/tex]

Add like terms

[tex]x + 5 +3x - 7 = 90\\4x -2 = 90\\4x = 90 + 2\\4x = 92[/tex]

Divide both sides by 4

[tex]x = 23[/tex]

b. Find [tex]m \angle ECH[/tex]

[tex]m \angle ECH = x + 5[/tex]

Plug in the value of x

[tex]m \angle ECH = 23+ 5\\m \angle ECH =28^{\circ}[/tex]

c. Find [tex]m \angle HCD[/tex]

[tex]m \angle HCD = 3x - 7\\m \angle HCD = 3(23) - 7\\m \angle HCD = 62^{\circ}[/tex]

d. Find [tex]m \angle GCF[/tex]

[tex]m \angle GCF = m \angle ECH[/tex] (vertical angles are congruent)

Substitute

[tex]m \angle GCF = 28^{\circ}[/tex]

e. Find [tex]m \angle ECG[/tex]

[tex]m \angle ECG = 180 - m \angle GCF[/tex] (angles on a straight line)

Substitute

[tex]m \angle ECG = 180 - 28\\m \angle ECG = 152^{\circ}[/tex]

f. Find [tex]m \angle GCD[/tex]

[tex]m \angle GCD = m\angle FCD + m \angle GCF[/tex]

Substitute

[tex]m \angle GCD = 90 + 28\\m \angle GCD = 118^{\circ}[/tex]

Therefore:

[tex]a. $ x = 23^{\circ}\\b. $ m \angle ECH =28^{\circ}\\c. $ m\angle HCD = 62^{\circ}\\d. $ m \angle GCF = 28^{\circ}\\e. $ m \angle ECG = 152^{\circ}\\f. $ m \angle GCD = 118^{\circ}[/tex]

Learn more here:

https://brainly.com/question/18292462

Answer:

hope this help

Step-by-step explanation:

here is the answer

Answer:

-5X+2Y-2

Step-by-step explanation:

-5X-7-2+2Y+7

-5X-2+2Y

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                               PEACE!

Answer:11

Step-by-step explanation:

g(2)=-7

f(-7)=11

Answer:

f(g(x))= 11

Step-by-step explanation:

This question asks us to find f(g(x)) when x=2. Therefore, we can substitute 2 in for x.

f(g(x)), x=2

f(g(2))

First, we must find g(2).

We know that g(x)= -2x-3. We can plug 2 in for each x and solve.

g(x)= -2x -3, x=2

g(2)= -2(2)-3

First, multiply -2 and 2.

g(2)= -4-3

Then, subtract 3 from -4.

g(2)= -7

Let's return to our function: f(g(2)). We know that g(2)= -7. Thus, we can substitute -7 in for g(2).

f(g(2)), g(2)= -7

f(-7)

Now we must find f(-7). We know that f(x)= -x+4. We can plug -7 in for x and solve.

f(x)= -x+4 , x= -7

f(-7)= -(-7) +4

f(-7)= 7+4

Add 7 and 4

f(-7)= 11

Our final answer is: f(g(x))= 11

Answer:

[tex]\huge \boxed{729}[/tex]

Step-by-step explanation:

9 raised to 3 is the base 9 with an exponent of 3.

[tex]9^3[/tex]

9 is being multiplied by itself 3 times.

[tex]9^3 =9 \times 9 \times 9 = 729[/tex]

Answer:

Step-by-step explanation:

I hope it helps :)

[tex]\sqrt{x+4} -7=1\\\mathrm{Add\:}7\mathrm{\:to\:both\:sides}\\\sqrt{x+4}-7+7=1+7\\\sqrt{x+4}=8\\\mathrm{Square\:both\:sides}\\\left(\sqrt{x+4}\right)^2=8^2\\x+4=64\\x = 64-4\\x = 60[/tex]

━━━━━━━☆☆━━━━━━━

▹ Answer

2 5/6

▹ Step-by-Step Explanation

[tex]\frac{17}{6} \\\\6 * 2 = 12\\12 + 5 = 17\\\\2\frac{5}{6}[/tex]

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

2 5/6

Step-by-step explanation:

17/6

6 goes into 17 2 times  

2*6 = 12

17-12 = 5  

There is a remainder of 5  this goes over the denominator

2 5/6

if an ordered pair is a solution, it should satisfy the equation.

see the first option

[tex]y=3x[/tex] , if you put $x=4$ and $y=12$

you'll get $12=12$ which is true.

now the last option, $y=8-x$ put $x=4$ and $y=12$

$12=8-4\implies 12\ne4$ thus it is not a solution.

So option 4 is correct

Answer:

Last one:

Step-by-step explanation:

y = 8 - x

12 = 8 - 4

12 = 4 (impossible)

Answer:

y * ( 6*5)

Step-by-step explanation:

(y x 6) x 5

We can change the order of multiplication by changing where the parentheses are placed using the associative property

y * ( 6*5)

Answer:

The answer will be Y*(6*5)

Step-by-step explanation:

this is the answer because while doing the associative property you switch the parenthesis to the different numbers or the other side in this case were 6 and 5

Answer:

Hey there!

1/2 can also be written as 8/16.

Thus, starting from 0, count 8 tick marks, and place a point there.

3/16 is just 3/16.

Thus, starting from the 8th tick mark (where you left off in the first part) count three more tick marks to the 11th tick mark.

This shows us that 8/16+3/16=11/16.

Hope this helps :)

Answer:

so 1/2+3/16 is 11/16

Step-by-step explanation:

count the lines until u get to 11 and thts where u put the point.

hope this helps.have a good day

Answer: False, this is not the graph of f(x) = 3^x

=====================================================

Explanation:

Plug in x = 0 to get

f(x) = 3^x

f(0) = 3^0

f(0) = 1

That means (0,1) is on the graph. So far so good.

-------

But let's try x = 1

f(x) = 3^x

f(1) = 3^1

f(1) = 3

Meaning (1,3) should be on the graph of y = 3^x. Instead, the graph shows (1,4) is on the red curve. We don't have a match.

The red curve shows the equation y = 4^x.

Answer:

A)

Step-by-step explanation:

[tex](a^{m})^{n} = a^{mn}\\\\x^{3}*(x^{3}*y^{2})^{2}=x^{3}*(x^{3})^{2}*(y)^{2}\\\\\\=x^{3}*x^{3*2}*y^{2}\\\\\\=x^{3}*x^{6}*y{2}\\\\\\=x^{3+6}*y^{2}\\=x^{9}y^{2}[/tex]

Answer:

10x -24 ft^2

Step-by-step explanation:

The area of the square is x^2

The area of the flower garden is lw

( x-4) ( x-6)

x^2 -6x-4x +24

x^2 -10x +24

Subtract the flower garden from the square to find the area of the patio

x^2 - ( x^2 -10x +24)

Distribute the minus sign

x^2 -x^2 +10x -24

10x -24

Answer:

c. 10x -24 sq. ft

Step-by-step explanation:

area of lot = x * x

area of garden = (x-4)(x-6) = x^2-10x+24

Area of patio

= area of lot - area of patio

= x^2 -(x^2-10x+24)

= 10x-24 sq.ft

Answer:

theta  = 180 -(A +B)

Step-by-step explanation:

The sum of the angles of a triangle is 180

theta + A + B = 180

solve for theta

Subtract ( A + B) from each side

theta +A+B -(A +B) = 180 -(A +B)

theta  = 180 -(A +B)

Answer:

I believe it's A) 302.94

Step-by-step explanation:

There are 360 degrees in a circle. So I enetered 360/112 in a calculator and got 3.214.

Then I multiplied 3.214 by 30pi and got 302.939 AKA 302.94. I did this because I looked at it like a ratio problem but idk if thats correct.

Answer:

1 3/4 cups is between the 13th and 15th lines from the bottom.

Step-by-step explanation:

The bottom of the cup has no line and corresponds to 0 eights.

1st line up: 1/8 cup

2nd line up: 2/8 cup    this is also called 1/4 cup

3rd line up: 3/8 cup

4th line up: 4/8 cup     this is also called 1/2 cup

5th line up: 5/8 cup

6th line up: 6/8 cup     this is also called 3/4 cup

7th line up: 7/8 cup

8th line up: 8/8 cup     this is also called 1 cup

9th line up: 9/8 cup

10th line up: 10/8 cup    this is also called 1 1/4 cup

11th line up: 1 3/8 cup

12th line up: 1 4/8 cup     this is also called 1 1/2 cup

13th line up: 1 5/8 cup

14th line up: 1 6/8 cup    this is also called 1 3/4 cup

15th line up: 1 7/8 cup

16th line up: 1 8/8 cup    this is also called 2 cups

1 3/4 cups is between the 13th and 15th lines from the bottom.

Answer:

he invented the point

he was a German mathematician

he  Hilbert's improvements to geometry are still used in textbooks today

he developed Hilbert's axioms

Step-by-step explanation:

Answer:

He was a German mathematician.

If only one is true then you're good to go.

Whoops never mind.. :/

Answer:

26 nickels

Step-by-step explanation:

Given that

Total contributed = $1.69

Number of coins = 5

based on the above information,

The number of nickels to be contributed is

Here first we have to determine the prime factors of 169 i.e 13 and 13

This represents that there are 13 member gives their $0.13 per person so it would be $1.69

Also there are 13 cents out of which 3 cents would be 3 pennies the remaining 10 cents would be 2 nickels

So the 13 people contributed to 2 nickels

Therefore,  it would be

= 13 × 2

= 26 nickels