find the volume of a pyramid 8 base length 5 base width 12 height

Answer:

a) angle 4 = 60°

b) angle 6 = 120°

c) angle 8 = 60°

Step-by-step explanation:

a) angle 4 =

angle 3 = 120

angle 4 = 180 - 120 = 60

b) angle 6 =

c) angle 8 =

angle 8 = 180 - 120 = 60

Angles 4, 6, and 8 in the given parallel line scenario would all measure 120 degrees because they are alternate interior, corresponding, and vertical angles to angle 3 respectively.

When dealing with parallel lines and transversals in geometry, certain angles have specific relationships. Given that lines l and m are parallel and angle 3 measures 120 degrees, we can deduce the following:

Remember that in parallel line angle relationships, alternate interior, corresponding, and vertical angles provide a dependable method to find missing angle measures.

Answer:

b

Step-by-step explanation:

bc i just did it

Answer:

The interest rate was 2.5% per year.

Step-by-step explanation:

Answer:

He bikes 1.6 km per hour.

Step-by-step explanation:

If he bikes 3.2km un 2 hours, then:

3.2 km / 2 hours = 1.6 km / hour

Step-by-step explanation:

Formula of straight line is given as:

[tex]y= mx + c[/tex]

Where m = is the gradient or slope & c = y-intercept.

Answer:

-20

Step-by-step explanation:

-20 divided by -4 is 5.

Answer:

-20

Step-by-step explanation:

x/-4 = 5

x = 5*-4

x = -20

Answer:

StartFraction pi Over 4 EndFraction times StartFraction 180 degrees Over pi EndFraction.

Step-by-step explanation:

We know the relation between radian and degree is that, π radians = 180°.

Then we have to calculate the degree that is equivalent to [tex]\frac{\pi }{4}[/tex] radians.

Now, using the unitary method, we can calculate the degree value.

Therefore, [tex]\frac{\pi }{4}[/tex] radians is equivalent to [tex]\frac{\pi }{4} \times \frac{180}{\pi } = \frac{180}{4} = 45 ^{\circ}[/tex].

So, it is StartFraction pi Over 4 EndFraction times StartFraction 180 degrees Over pi EndFraction. (Answer)

Answer: 6.99 times.55x

Step-by-step explanation:

The question involves discovering rules for completing mathematical tables and requires skills in pattern recognition, multiplication, and data organization.

The student's question requires finding a rule for each given table and writing the missing number. Utilizing mathematical skills to recognize patterns or apply known operations is the key to solving these problems. For example, when asked about the cube of a number such as (74)³, one would have to multiply 74 by itself three times to get the result. This translates to 74 * 74 * 74, which can also be expressed as 7.4 * 102 * 7.4 * 102 * 7.4 * 102. Furthermore, when working with tables of data, it's essential to organize the data accurately and calculate additional information such as relative frequency when required.

In another instance, if you're given a list of numbers corresponding to particular data points, like the roster of students or experimental results, the task could involve identifying patterns or utilizing statistical tools to complete the tables.

It's important to show work and approach each problem methodically, confirming the application of correct mathematical rules. By doing so, you gain deeper understanding and enhance your problem-solving skills.

Answer:

0

Step-by-step explanation:

The period of the function [tex]y=\tan x[/tex] is equal to [tex]\pi.[/tex]

To find the exact value of [tex]\tan (6\pi)[/tex], first note that we can skip 6 periods of this function, so

[tex]\tan (6\pi)=\tan 0[/tex]

Use definition of [tex]\tan:[/tex]

[tex]\tan 0=\dfrac{\sin 0}{\cos 0}[/tex]

Since

[tex]\sin 0 = 0\\ \\\cos 0=1,[/tex]

we have that

[tex]\tan (6\pi)=\tan 0=\dfrac{\sin 0}{\cos 0}=\dfrac{0}{1}=0[/tex]

Answer: 1/5

Step-by-step explanation: To find the probability of selecting a mint out of the jar, we use our ratio for the probability of an event which is shown below.

(P) event = number of favorable outcomes/total number of outcomes.

Since there are 7 mints in the jar, the number of favorable outcomes is 4 and since there are 35 candies in all,

the total number of outcomes is 35.

Therefore, the probability of selecting a mint is 7/35.

Notice however that 7/35 is not in lowest terms so we need to divide the numerator and denominator of 7/35 by their greatest common factor of 7 to get 1/5.

So our final answer for the probability of selecting a mint is 1/5.

Answer:

Net Change in Geno's Field Position = 22 yards

Step-by-step explanation:

Assuming Geno initial position before change is 0

Geno Gained 4 yards three times = 4*3 = 12yards

Geno lose 1 yard twice = 1*(-2) = -2yards

Geno Gained 6 yards twice = 6*2 = 12yards

Net Change in Geno's Field Position = 12 + (-2) + 12 yards

                                                            = 22 yards

Answer:

21.6

Step-by-step explanation:

18 is the 100% of the given number, 120% is 18 + 20% of 18

to find 20% of 18 we multiply 18 by 20 and the divide it by 100

18 × 20 ÷ 100 = 3.6 now add this to 18 and the answer is 21.6

Answer:

21,6

Step-by-step explanation:

120% × 18 =

= 120×18/100

= 2160/100

= 21,6

Answer:  

Look at her flexible expenses and prioritize

Step-by-step explanation:

Take the flexible-expense section of your budget and list the categories in the order of their importance to you.

The best option for Tricia would be look at her flexible expenses and prioritize. The correct option is d.

Budgeting is the process of developing a financial plan. It entails assessing your income and expenses and deciding how to allocate your resources.

Examine her variable expenses and prioritize. Tricia needs to re-evaluate her budget and see where she can cut costs to save more money for her emergency needs and long-term savings goals.

By examining and prioritizing her flexible expenses, she can identify areas where she can cut back on spending and redirect those funds to her savings goals.

Tricia must avoid incurring additional debt by using a credit card and must continue to cover her basic needs, such as food, by budgeting appropriately.

Thus, the correct option is d.

For more details regarding budgeting, visit:

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Your question seems incomplete, the probable complete question is:

Tricia saved money, but the amount she saved didn't meet both her emergency needs and savings for her goal. Which of these would be BEST for Tricia to do next?

a.) Delete her food budget

b.) Incur more debt and use a credit card

c.) Spend more money on flexible expenses

d.) Look at her flexible expenses and prioritize

Answer:

[tex]x=4\sqrt{6}\ units[/tex]

[tex]y=4\sqrt{2}\ units[/tex]

[tex]z=4\sqrt{3}\ units[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

step 1

In the right triangle ABD

Applying the Pythagorean Theorem

[tex]x^2=y^2+(12-4)^2[/tex]

[tex]x^2=y^2+64[/tex]

[tex]y^2=x^2-64[/tex] ----> equation A

step 2

In the right triangle BDC

Applying the Pythagorean Theorem

[tex]z^2=y^2+4^2[/tex]

[tex]z^2=y^2+16[/tex]

[tex]y^2=z^2-16[/tex] ----> equation B

step 3

In the right triangle ABC

Applying the Pythagorean Theorem

[tex]12^2=x^2+z^2[/tex]

[tex]144=x^2+z^2[/tex] ----> equation C

step 4

Equate equation A and equation B

[tex]x^2-64=z^2-16[/tex]

[tex]x^2=z^2+48[/tex] -----> equation D

step 5

substitute equation D in equation C

[tex]144=z^2+48+z^2[/tex]

solve for z

[tex]2z^2=144-48[/tex]

[tex]2z^2=96[/tex]

[tex]z^2=48[/tex]

[tex]z=\sqrt{48}\ units[/tex]

simplify

[tex]z=4\sqrt{3}\ units[/tex]

Find the value of x

[tex]x^2=z^2+48[/tex]

[tex]x^2=48+48=96[/tex]

[tex]x=\sqrt{96}\ units[/tex]

[tex]x=4\sqrt{6}\ units[/tex]

Find the value of y

[tex]y^2=z^2-16[/tex]

[tex]y^2=48-16[/tex]

[tex]y^2=32[/tex]

[tex]y=\sqrt{32}\ units[/tex]

[tex]y=4\sqrt{2}\ units[/tex]

trying to find the system to the solution you have to put in into slope intersecpt form so y=mx+b

so 4=m(3)+b

12=b

y=3x+12

Answer:

5y-x

MathMathMathMath

Answer:

C - 8

Step-by-step explanation:

153 - 81 = 72

72 ÷ 9 = 8

Answer:

C) 8

I looked at the other answer at the bottom.

Answer:

Step-by-step explanation:

Example:  (cx)×(ax + b) comes out to acx^2 + bcx, which is a linear quadratic (highest power of x is 2).

the product of a linear monomial and a linear binomial will be

[tex]\rm = (cx)\times(ax + b)[/tex]   which will comes out to  [tex]\rm acx^2 + bcx[/tex] that is a linear quadratic higgest power of x

Lets understand,

A Linear monomial is an Expression that has only one given term & whose power or highest degree is one. It cannot take any addition or subtraction signs monomial is an linear expression that has only a single non-zero term. Monomials can be numbers, variables, or numbers multiplied with variables.

Examples of linear monomial:-

For example, [tex]\rm 2, ab, and\; 42\;xy[/tex] are examples of a monomial. A few other examples of monomials are [tex]\rm 5x, 5x^3 , 7xy,x^5 .[/tex]

Therefore, the product of a linear monomial and a linear binomial will be

[tex]\rm = (cx)\times(ax + b)[/tex]   which will comes out to  [tex]\rm acx^2 + bcx[/tex] that is a  quadratic with higgest power of x.

Learn more about Linear Monomial or Binomial here:

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Answer: 200%

Step-by-step explanation:

We are asked to find the percent increase in student fees. The amount of increase in student fees is given by

final amount − initial amount = increase

12,000 − 4,000 = 8,000

We can now find the percent increase by finding what percent the amount of increase is of the initial amount. In other words, we want to find what percent 8,000 is ... of 4,000.

Let p be the percent. The question can be translated into an equation.

8,000  {is}  {what percent}     {of}  4,000

8,000  {=}   {          P          }     {x}   4,000

To solve for p, we can now divide each side by 4,000 and simplify.

8,000 = 4,000p

p=2

To convert p to a percent, multiply 2 by 100.

2 x 100

=200%

It follows that the percent increase in student fees was 200%.

Answer:

200%

Step-by-step explanation:

Find the amount of change.

12,000−4,000=8,000

Find the percent.

Change is what percent of the original amount?

Let p= the percent.

8,000 is what percent of 4,000?

Translate to an equation and simplify.

8,000 = p⋅ 4,000=

8,000 = 4,000p

Divide both sides by 4,000 and change to percent form.

2=p

200%=p

After evaluating the expression with the given values for x, y, and z by following the order of operations, the final result of the expression is 28.

To evaluate the expression given x=4, y=9, and z=7, we follow the order of operations, which means we perform the operations inside the parentheses first before multiplying by x.

First, calculate the value inside the parentheses as follows:

y + z - 3 squared

= 9 + 7 - 32

= 9 + 7 - 9

= 16 - 9

= 7

Now, multiply this result by x:

x(y + z - 3 squared)

= 4(7)

= 28

So, the evaluated expression equals 28.

Answer:

The product of 5x + 3 and 8x2 - 2x + 5 is 3x2 and 8 + 3x + 5

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 ((5x +  (3and8 • x2)) -  2x) +  5

Step  2  :

Trying to factor a multi variable polynomial :

2.1    Factoring    3x2and8 + 3x + 5

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Final result :

 3x2and8 + 3x + 5

Processing ends successfully

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Answer:

40X^3 - 34X^2 + 4X + 15

Step-by-step explanation:

Using Algebraic expansion, the first number in bracket with its coefficience multiplies the second bracket. Equally , the second number in the first bracket is also used to multiply the second bracket, taking note of the sign (addition and minus sign)

5x(8x^2 -2x +5) +3 (8x^2 -2x +5)

= 40X3 - 10X^2 + 10X -24X^2 - 6X + 15

= 40X^3 - 34X^2 + 4X + 15

An area of rectangle: a · b

a = 0.4 km

b = 0.07 km

a · b = 0.4 km · 0.07 km = 0.028 km²

The area of the rectangular plot of land is found by multiplying the length (0.4 km) by the width (0.07 km), resulting in an area of 0.028 square kilometers.

To find the area of a rectangular plot of land, you multiply the length by the width. The given rectangular plot is 0.4 kilometers long and 0.07 kilometers wide. To calculate the area, we do the following multiplication:

The area of the rectangular plot of land is 0.028 square kilometers.

Answer:11 tbs for 33 ounces of water

Step-by-step explanation:

Answer:

Step-by-step explanation: because i did 33 divided 2 to get the answer for the questions which equal 16.5 for 33

The rate of the cabin cruiser in calm water is 9 mph and the rate of the current 3 mph

Step-by-step explanation:

Given:

Speed of cabin cruiser travelling with then current =  12 mi in 1 h.

Against the current, it took 2 h to travel the same distance.

To Find:

The rate of the boat in calm water and the rate of the current = ?

Solution:

Let  boat speed in calm water  be s

Let rate of the current  be c

Then

(s-c) = effective speed upstream

and

(s+c) = effective speed downstream

Writing a distance equation for each trip:

distance  = [tex]time \times \text{effective speed}[/tex]

1(s + c) = 12

2(s - c) = 12

On the first equation divide both sides by 1

On the second equation divide both sides by 2

s + c = 12

s - c = 6

Now addition of the above two equations gives

2s = 18

s = 9 mph, boat speed in calm water

Lets substitute s value to find  c value

s + c = 12

9 + c = 12

c = 12 - 9

c = 3 mph is the current

Final answer:

The cabin cruiser's rate in calm water is 9 mph, and the rate of the current is 3 mph.

Explanation:

To solve this problem, we will let c represent the rate of the current and r represent the rate of the cabin cruiser in calm water. When traveling with the current, the effective speed of the cruiser is r + c, and against the current, it is r - c.

Using the given information:

Now we can set up a system of equations:

Adding these two equations, we get:

2r = 18

Dividing both sides by 2, we find r = 9 mph. Thus, the rate of the cabin cruiser in calm water is 9 mph. To find the rate of the current, plug r = 9 into either of the original equations. Let's use equation (2):

9 - c = 6

Subtracting 9 from both sides, we find c = 3 mph. So the rate of the current is 3 mph.

Answer:

[tex](-2,\frac{5}{3})[/tex]

Step-by-step explanation:

[tex]Given\ y=\frac{2}{3}x+3,\ and\ x=-2\\\\Substitute\ the\ value\ of\ x\\\\y=\frac{2}{3}\times (-2)+3\\\\y=-\frac{4}{3}+3\\\\y=\frac{-4+9}{3}\\\\y=\frac{5}{3}\\\\Hence\ (-2,\frac{5}{3})\ satisfies\ the\ equation.[/tex]

Answer:

The percent increase in the price of the car is 31.36%.

Step-by-step explanation:

Given:

A car dealer buys a luxury car for $65,200 and sells it for $85,650.  

Now, to find the percent increase in the price of the car.

Cost price of the luxury car = $65,200.

Sell price of the luxury car = $85,650.

So, the price of the car increased by:

Sell price of the luxury car - Cost price of the luxury car.

[tex]=\$85,650-\$65,200\\\\=\$20,450.[/tex]

Thus, the price of car increased by $20,450.

Now,to get the percent increase in the price of the car:

[tex]\frac{20450}{65200} \times 100[/tex]

[tex]=0.3136\times 100[/tex]

[tex]=31.36\%.[/tex]

Therefore, the percent increase in the price of the car is 31.36%.

Answer:

The answer is 23.22

Step-by-step explanation:

The reason why is because all you have to do is multiply the length that the snail travels per minute by the amount of minutes.

Answer:

Number of students who went on the field trip = N - 6 .

We subtract 6 from the total number of students to get the number of students who went on the field trip.

Step-by-step explanation:

i) let the number of students in the club be = N

ii) If all but 6 students went on the trip then to we can write an expression for the number of students on the field trip by subtracting 6 from N. Therefore we can write the expression as

number of students who went on the field trip = N - 6

Answer:

-6

Step-by-step explanation:

the first part is equal to -8 and then you add two which is -6