The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical bas and height what is the slope of the line

Answers

Answer 1

Answer:

what graph? there is no graph?


Related Questions

Can someone help me please and thank you

Answers

The answers and work is attached below

how many solutions does the following equation have?3(x+5)=−4x+8

Answers

Answer:

1

Step-by-step explanation:

Solve the equation for x:

3(x + 5) = -4x + 8

Distribute.

3x + 15 = -4x + 8

Combine like terms.

3x + 15 = -4x + 8

+4x         +4x

7x + 15 = 8

     -15   -15

7x = -7

Divide both sides by 7.

x = -1

The following equation has one solution, x = -1.

Answer:

1 solution,  x = -1.

Step-by-step explanation:

3(x + 5 )= −4x + 8

3x + 15 = -4x + 8

3x + 4x = 8 - 15

7x = -7

x = -1.

Perimeter of 40 triangles when the sides are all 1 cm long

Answers

Answer: 120 cm.

Step-by-step explanation: Each triangle has 3 sides, and each side is 1 cm. Multiply the number of sides for one triangle by the total number of triangles. 3 x 40=120. The perimeter is 120 cm.

Find the area of a triangle with legs that are: 15 mm, 10 mm, and 20 mm.

Answers

Answer:

Area = [tex]\frac{75}{4} \sqrt{15} sq mm[/tex]

Step-by-step explanation:

Here we are given with all the sides of the triangle , and we are asked to find the area of it. we will use Heron's Formula to find the area. The formula is as under

Area [tex]= \sqrt{s\times (s-a) \times (s-b) \times (s-c)}[/tex]

Where [tex]s= \frac{a+b+c}{2}[/tex]

Where a , b and c are the three sides of the triangle

a=15 , b=10 and c=20

Substituting those values in the two formula one by one we get

[tex]s=\frac{15+10+20}{2}[/tex]

[tex]s=\frac{45}{2}[/tex]

now putting this value of s in main formula we get

Area= [tex]\sqrt{s\times (s-a) \times (s-b) \times (s-c)}[/tex]

Area = [tex]\sqrt{\frac{45}{2} \times (\frac{45}{2}-15) \times (\frac{45}{2}-10) \times (\frac{45}{2}-20)}[/tex]

Area = [tex]\sqrt{\frac{45}{2} \times (\frac{45-30}{2}) \times (\frac{45-20}{2}-) \times (\frac{45-40}{2})}[/tex]

Area = [tex]\sqrt{\frac{45}{2} \times (\frac{15}{2}) \times (\frac{25}{2}) \times (\frac{5}{2})}[/tex]

Area = [tex]\sqrt{\frac{45}{2} \times (\frac{15}{2}) \times (\frac{20}{2}-) \times (\frac{5}{2})}[/tex]

Area = [tex]\frac{1}{4} \sqrt{45 \times 15 \times 25 \times 5}[/tex]

Area = [tex]\frac{1}{4} \sqrt{45 \times 15 \times 25 \times 5}[/tex]

Area = [tex]\frac{1}{4} \sqrt{9 \times 5 \times 5 \times 3 \times 25 \times 5}[/tex]

Area = [tex]\frac{3\times 5 \times 5}{4} \sqrt{3 \times5}[/tex]

Area = [tex]\frac{75}{4} \sqrt{15}[/tex]

The area of a triangle with legs that are 15 mm, 10 mm, and 20 mm is [tex]72.618 mm^{2}[/tex]

Further Explanation;Area  Area is a measure of how much space is occupied by a given shape. Area of a substance is determined by the type of shape in question.

For example;

Area of a rectangle is given by; Length multiplied by width Area of a circle = πr². where r is the radius of a circle, Area of a square = S², Where s is the side of the square.etc.Area of a triangle The area of a triangle is given based on the type of the triangle in question.Right triangle.The area of a right triangle is given by;

                    =  1/2 x base x height

Scalene triangleIt is a triangle that with sides and angles that are not equal.Area of a scalene triangle depends on the features of the triangle given.

For example;

Sine FormulaArea of a triangle = 1/2 ab sin θ, when given two sides of the triangle and the angle between themHeron's formulaArea of a triangle = [tex]s\sqrt{s(s-a)(s-b)(s-c)}[/tex] when given all the sides of the triangle.             where [tex]s =\frac{(a+b+c)}{2}[/tex]

In this case we are given, a = 15 mm, b = 10 mm, c = 20 mm

Therefore, we use the Heron's formula;

Area= [tex]s\sqrt{s(s-a)(s-b)(s-c)}[/tex]

 [tex]s =\frac{(a+b+c)}{2}[/tex]

[tex]s= \frac{(15+10+20)}{2} \\s= 22.5[/tex]

Therefore;

Area = [tex]s\sqrt{s(s-a)(s-b)(s-c)}[/tex]

       = [tex]22.5\sqrt{12.5(12.5-15)(22.5-10)(22.5-20)}[/tex]

       =[tex]\sqrt{22.5(7.5)(12.5)(2.5)} \\\sqrt{5273.4375}[/tex]

[tex]= 72.618 mm^{2}[/tex]

Keywords: Area, Area of a triangle, Heron's formula, Sine formula, Scalene triangle.

Learn more about: Perimeter: https://brainly.com/question/12905000 Area: https://brainly.com/question/12905000 Area of a triangle: https://brainly.com/question/4125306Heron's Formula:  https://brainly.com/question/10713495Example of a question using Heron's Formula:  https://brainly.com/question/10713495

Level: Middle school

Subject; Mathematics  

Topic: Area

Sub-topic: Area of a triangle

When asked to write an equivalent expression to 5(a+3),Alejandra wrote 5a+8. Is she correct? If not, what is the correct answer?

Answers

5a+8

Answer is NOT 5a+8

5(a+3) Multiply the bracket by 5

5(a)+5(3)

5a+15

Correct answer is supposed to be: 5a+15

The image below is a triangle drawn inside a circle with center O:
8 inches
5 inches
4 inches
Which of the following expressions shows the area, in square inches, of the circle?
(TT = 3.14)
3.14.42
3.14 . 52
3.14.5
3.14 22

Answers

Answer:

  area ≈ 24π

Step-by-step explanation:

We have solved this problem two ways:

Using a drawing program that writes the formula of the circumscribing circle, so gives the value of r^2.Using rarely-seen formulas for the area of a triangle and for the area of its circumscribing circle.

__

Drawing

A drawing of the figure (below) can help you find the radius of circle O. It is about 4.89 inches, so the area of circle O is about ...

  area = πr^2 = π(4.89 in)^2 ≈ 23.9π ≈ 24π . . . .square inches

__

Formulas

There is an interesting relationship between the area of the triangle and the radius of the circumscribing circle:

  r = (abc)/(4A) . . . . . where a, b, c are the triangle side lengths, and A is the triangle area

Heron's formula can tell us the area of the triangle from the side lengths:

  A = √(s(s-a)(s-b)(s-c)) . . . . where s = (a+b+c)/2

For the given triangle with side lengths 4, 5, and 8 (inches), the area can be found as ...

  s = (4+5+8)/2 = 8.5

  A = √(8.5·4.5·3.5·0.5) = √66.9375 ≈ 8.1815 . . . square inches

Then the radius of the circle is ...

  r = (4·5·8)/(4·8.1815) = 4.889 . . . inches

The area of the circle is then ...

  Circle O area = πr^2 = π(4.889 in)^2 = 23.9π in^2

__

The closest answer choice is 3.14×22.

A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the
culture 6 days after inoculation?
y= 1,000(1.15) 2,313 bacteria
y= 1,000(1.15)
y= 1,000(1.5)
y= 1,000(1.5)6 11,391 bacteria

Answers

Answer:

Option A) y=1000(1.15)^6   2313 bacteria

Step-by-step explanation:

The initial value is 1,000 and the growth factor would be the the 15%.

15% can be rewritten to .15, but you have to have to add 1 for the start to make the equation easier. Thus making the growth factor 1.15

After multiplying 1000(1.15)^6 you will get 2313.06076562 which is simplified to 2,313 bacteria.

Hope this is helpful. :)

The population of the culture 6 days after inoculation is y = 1,000(1.15) 2,313 bacteria.

What is population growth of bacteria?The growth of bacterial cultures is defined as an increase in the number of bacteria in a population rather than in the size of individual cells. The growth of a bacterial population occurs in a geometric or exponential manner: with each division cycle (generation), one cell gives rise to 2 cells, then 4 cells, then 8 cells, then 16, then 32, and so forth.

According to the given statement, a growth medium exists inoculated with 1,000 bacteria.

Bacteria grow at a rate of 15% = 0.15

Add 1 to create it easier = 0.15 + 1 = 1.15

We have to estimate the population of the culture 6 days after inoculation.

[tex]= 1000(1.15)^6[/tex]

= 1000(2.313)

= 2313 bacteria

The population of the culture 6 days after inoculation = 2313 bacteria

Therefore the correct answer is y = 1,000(1.15) 2,313 bacteria.

To learn more about the population growth of bacteria refer to:

https://brainly.com/question/12993325

#SPJ2

At one farmer’s market, bananas cost $0.80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4.50 per bag. Which explains how to find the better buy?

Answers

Answer with step-by-step explanation:

We are given that at one farmer’s market, bananas cost $0.80 per pound while at another market, bananas are sold in 5 pound bags for $4.50 per bag.

We are to explain how to find the better buy.

For the first market, the rate of bananas is given per pound but for the other market, the rate is given for a 5 pound bag so we will find the rate of bananas per pound to compare the rates of both markets.

One pound of bananas at 2nd market = 4.50/5 = $0.9

Therefore, getting bananas from the first market at $0.80 per pound is a better buy.

Answer: A

Step-by-step explanation:on My quiz I got it right

Find the measure of y in the picture please

Answers

Answer: A. 47

Step-by-step explanation: The answer would be 47 degrees because the 47 degree angle has one mark, and so does x and y. This means that these angles are the same.

A small measuring spoon holds 5 milliliters. How many spoons would 1 liters of liquid fill?

Answers

1 MILLIliter, namely one thousandth of a liter, meaning there are 1000 mLs in one liter.

the spoon holds 5 mL, how many are there in 1 liter? namely how many times is 5 in 1000?  simply 1000 ÷ 5 = 200.

The number of spoon that will hold 1 litre of liquid is 200 spoons.

Measurement

Measurement is use to show the amount of something.

The small measuring spoon holds 5 millilitres . Therefore, the number of spoon that can hold 1 litres  can be calculated as follows;

Let's convert

1000 ml = 1 l

5 ml = 1 spoon

1000 ml = ?

number of spoon = 1000 / 5

number of spoon = 200

learn more on measurement here: https://brainly.com/question/1015220

Determine whether the trinomial is a
perfect square. If so, factor it. If not,
explain why.
16. 81n2 + 90n+ 100

Answers

Step-by-step explanation:

Use (a+b)²= a²+2ab+b² formula

We can see that a²=81n² (so a=9n) and b²=100 (so b=10) and 2ab = 2*9n*10=180n.

therefore only √(81n²+180n+100) would be perfect square and this - isn't.

Roopesh has $24 dollars to spend on a birthday gift. The store where he is shopping has a sale offering $5 off the regular price, r, of any item. Write an inequality that can be used to determine the regular price of an item in the store that Roopesh can afford. (Assume there is no tax.)

What is the unknown?



Which expression can represent the sale price?



Which comparison could be used?



Which inequality represents the situation?



Answers

For this case we have the following data:

Available quantity: $ 24

Regular price: r

Sale price:[tex]r-5[/tex]

If we have that Roopesh can not pay more than $ 24, we can write the following inequality, taking into account that the item is sold in [tex]r-5[/tex]:

[tex]r-5 \leq24[/tex]

Clearing r:

[tex]r \leq24+5\\r \leq29[/tex]

Answer:

What is the unknown?

[tex]r \leq29[/tex]

Which expression can represent the sale price?

[tex]r-5[/tex]

Which comparison could be used?

The sale price decreases $ 5 and so the regular price is obtained.

The inequality is: [tex]r-5 \leq24[/tex]

Answer:

answer in pic

10,825.643 which digit is in the tenths place​

Answers

Answer:

the number 6 is in the tenths place.

Hope this helps!

How many solutions does the following equation have? 60z+50-97z=-37z+49

Answers

[tex]\bf 60z+50-97z=-37z+49\implies 50~~\begin{matrix} -37z \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~=~~\begin{matrix} -37z \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+49\implies \stackrel{\textit{the what?!}}{50=49}[/tex]

well, clearly 50 ≠ 49.

but, whenever we get a result of this kind, is just a way to say no solutions.

you can look at it this way, is a system of equations, the equations are

y = -37z + 50

y = -37z + 49

now, notice, since both equations are in slope-intercept form, both equations have the same slope of -37, however, the y-intercept differs, meaning both equations are parallel and never touch each other.

since a solution for them is where they intercept and they never do, no solutions.

The given equation will have no solution.

What is equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is an equation,  60z+50-97z=-37z+49

On solving, we get,

0 = -1

Which is not possible.

Hence, There is no solution.  

For more references on equation, click;

https://brainly.com/question/29657983

#SPJ2

Write the equation of the line parallel to the
y-axis and 7 units to the left of the y-axis.

PLEASE HELP!

Answers

Answer:

x=-7

Step-by-step explanation:

If a line is parallel to the y-axis, then it is vertical because the y-axis is vertical.

A vertical line is in the form of x=a number.

Since the line we are looking for is 7 units to the left of the y-axis, then the line is x=-7.  -7 is 7 units left of 0.

7 units right would have been x=7.

Answer:

x = -7

Step-by-step explanation:

A line parallel to y-axis is a vertical line.

A vertical line has an equation x = a, where a is any real number.

The line is 7 units to the left of the y-axis. Therefore  the equation of this line is x = -7 (look at the picture).

In 972.6580 which didgit is in the hundreds place

Answers

Answer:

9

Step-by-step explanation:

hundreds   tens  ones  .  tenths  hundredths  thousandths  ten thousandths

9                   7       2      .    6               5                 8                       0

The 9 is in the hundreds place    

x + y = 6 x - y = 8 Solve the system of equations.

Answers

Answer:

x=7

y=-1

Step-by-step explanation:

When the two equations are solved together, they form simultaneous equations.

x+y=6

x-y=8

Let us use the elimination method. if we add the two equations, we eliminate y.

2x=14

x=7

Let us substitute for the value of x obtained above.

x-y=8

7-y=8

y=7-8

y=-1

The answer to this question is y=-1

In the diagram above, which two red lines are skew?
A. GK and EF
B. I and GK
c. FL and Ź
D. FL and CK

Answers

D is the correct answer

Consider the function represented by the table.



For which x is f(x)?=–3

–7
–4
4
5

x I f(x)
-7 I -3
-3 I 5
2 I -4
4 I -8

Answers

Answer:

f(-7) = -3

Step-by-step explanation:

[tex]\begin{array}{c|c}x&f(x)\\-7&\boxed{-3}\\-3&5\\2&-4\\4&-8\end{array}[/tex]

From the table we have f(-7) = -3

Answer:

f(-7) = -3

Step-by-step explanation:

9(x + 1) = 25 + x
x = 2
x = 3
x = 4
X
11

Answers

Answer:

x = 2.

Step-by-step explanation:

9(x + 1) = 25 + x

9x + 9 = 25 + x

Subtract x from both sides:

9x - x + 9 = 25

Subtract 9 from both sides:

9x - x = 25 - 9

8x = 16

x = 16/8 = 2.

Answer:

x = 2

Step-by-step explanation:

Given

9(x + 1) = 25 + x ← distribute parenthesis on left side

9x + 9 = 25 + x ( subtract x from both sides )

8x + 9 = 25 ( subtract 9 from both sides )

8x = 16 ( divide both sides by 8 )

x = 2

y>1 and y>x on a graph

Answers

So,

[tex]y>1\wedge y>x[/tex]

1. Graph each inequality separately.

2. Choose a test point to determine which side of the line needs to be shaded.

3. The solution to the system will be the area where the shadings from each inequality overlap one another (purple area)

As for the system of inequalities we say it's unbounded.

can someone please help me

Answers

Answer:

[tex]\large\boxed{\sqrt{2^2}\cdot\sqrt{2^2}\cdot\sqrt2\cdot\sqrt5\cdot\sqrt7\cdot\sqrt{y^2}\cdot\sqrt{y}}\\\boxed{2\cdot2\cdot y\sqrt{2\cdot5\cdot7\cdot y}}\\\boxed{4y\sqrt{70y}}[/tex]

Step-by-step explanation:

[tex]\begin{array}{c|c}1120&2\\560&2\\280&2\\140&2\\70&2\\35&5\\7&7\\1\end{array}\\\\1,120=2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot7=2^2\cdot2^2\cdot2^2\cdot2\cdot5\cdot7\\\\y^3=y\cdot y\cdot y=y^2\cdot y[/tex]

[tex]\sqrt{1,120y^3}=\sqrt{2^2\cdot2^2\cdot2\cdot5\cdot7\cdot y^2\cdot y}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt{2^2}\cdot\sqrt{2^2}\cdot\sqrt2\cdot\sqrt5\cdot\sqrt7\cdot\sqrt{y^2}\cdot\sqrt{y}\\\\\sqrt{1,120y^3}=\sqrt{2^2}\cdot\sqrt{2^2}\cdot\sqrt{y^2}\cdot\sqrt{2\cdot5\cdot7\cdot y}\qquad\text{use}\ \sqrt{a^2}=a\\\\=2\cdot2\cdot y\cdot\sqrt{2\cdot5\cdot7\cdot y}\\\\\sqrt{1,120y^3}=2\cdot2\cdot y\cdot\sqrt{2\cdot5\cdot7\cdot y}=4y\sqrt{70y}[/tex]

sin(5x)sin(3x)
Express the given product as a sum or difference containing only sines or cosines.

Answers

[tex]\bf \textit{Product to Sum Identities} \\\\ sin(\alpha)sin(\beta)=\cfrac{1}{2}[cos(\alpha-\beta)\quad -\quad cos(\alpha+\beta)]\qquad \leftarrow \textit{we'll use this one} \\\\\\ cos(\alpha)cos(\beta)=\cfrac{1}{2}[cos(\alpha-\beta)\quad +\quad cos(\alpha+\beta)] \\\\\\ sin(\alpha)cos(\beta)=\cfrac{1}{2}[sin(\alpha+\beta)\quad +\quad sin(\alpha-\beta)][/tex]

[tex]\bf cos(\alpha)sin(\beta)=\cfrac{1}{2}[sin(\alpha+\beta)\quad -\quad sin(\alpha-\beta)] \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(5x)sin(3x)\implies \cfrac{cos(5x-3x)-cos(5x+3x)}{2}\implies \cfrac{cos(2x)-cos(8x)}{2}[/tex]

Answer:[tex] \frac{1}{2}\left ( cos\left ( 2x\right )-cos\left ( 8x\right )\right )[/tex]

Step-by-step explanation:

Solution

[tex]Sin\left ( 5x\right )Sin\left ( 3x\right )[/tex]

We know

[tex] 2sin\left ( a\right )sin\left ( b\right )=cos\left ( a-b\right )-cos\left ( a+b\right ) [/tex]

Applying formula

[tex]Sin\left ( 5x\right )Sin\left ( 3x\right )=\frac{1}{2}\left ( cos\left ( 5x-3x\right )-cos\left ( 5x+3x\right )\right )[/tex]

=[tex] \frac{1}{2}\left ( cos\left ( 2x\right )-cos\left ( 8x\right )\right ) [/tex]

Lindsey has $20 to spend. She needs to buy exactly 2 pillets. She spends the remaining amount buying coss. How many coss does Lindsey purchase?

Answers

Lindsey purchased 72 coss.

Let's break down the problem:

1. Lindsey needs to buy exactly 2 pillets, and each pillet costs $1. So, she spends $2 on pillets.

2. She has $20 in total, and she spent $2 on pillets, leaving her with $20 - $2 = $18.

3. She spends the remaining $18 on coss, and 4 coss cost $1.

To find out how many coss she can buy with $18, we divide $18 by the cost of 4 coss:

$18 ÷ $1 = 18 coss × 4 coss/$1 = 72 coss

So, Lindsey purchases D. 72 coss with the remaining $18.

Complete Question:

0.5 pillets = 1 dollar

4 coss = 1 dollar

Lindsey has $20 to spend. She needs to buy exactly 2 pillets. She spends the remaining amount buying coss. How many coss does Lindsey purchase?

A. 4

В. 5

С. 64

D. 72

URGENT 19 points!!!!! PLEASE HELP!!

Aria is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a blue, and an orange marble. There is also a spinner separated into 3 equal sections. How many outcomes are in the sample space for pulling a marble out of the box and spinning the spinner? 7 10 12 14

Answers

Answer: 12

Step-by-step explanation: Multiply the chances of getting a marble, 4, and the chances of spinning the spinner, 3.

4 x 3 = 12

There are 12 outcomes.

Answer:12

Step-by-step explanation:

I did the test

the area of a rectangular box is 24x³-76x²-28x square units. The width of this box is (12x²+4x) units. Write and simplify an expression for the length of the rectangle. (Please show steps:) NEED ASAP

Answers

Answer:

(2x-7) units

Step-by-step explanation:

[tex]\tt length=\cfrac{area}{width}\\\\\\ length=\cfrac{24x^3-76x^2-28x}{12x^2+4x}=\cfrac{4x(6x^2-19x-7)}{4x(3x+1)}=\\\\\\=\cfrac{6x^2+2x-21x-7}{3x+1}=\cfrac{2x(3x+1)-7(3x+1)}{3x+1}=\\\\\\=\cfrac{(3x+1)(2x-7)}{3x+1}=2x-7[/tex]

Final answer:

The length of the rectangle can be found by dividing the area given as (24x³-76x²-28x) by the width given as (12x²+4x). This simplifies to 2x - 7 units which is the expression for the length of this rectangle.

Explanation:

In mathematics, to find the length of a rectangle when given the area and the width, you have to divide the area by the width. The area A is given as 24x³-76x²-28x square units, and the width w is given as (12x²+4x) units. Following the formula A = lw, where l is length and w is width, the length can be found by rearranging this formula to l = A/w.

Applying this to the given values: l = (24x³-76x²-28x) / (12x²+4x) simplifies to l = 2x - 7 units. Therefore, the expression for the length of the rectangle is 2x - 7 units.

Learn more about Length of Rectangle here:

https://brainly.com/question/9387981

#SPJ2

Examine the quadratic equation 9x^2+24x+16=0.
A: What is the discriminant of the quadratic equation?
B: Based on the discriminant, which statement about the roots of the quadratic equation is correct?
Select one answer choice for question A, and select one answer choice for question B.
A: 120
A: -120
A: 0
B: There is one real root with a multiplicity of 2.
B: There are two real roots.
B: There are two complex roots

Answers

Answer:

The correct answer options are,

A: 0

B: There is one real root with a multiplicity of 2.

Step-by-step explanation:

Discriminant of a quadratic equation ax² + bx + c = 0 is given by,

b² - 4ac

It is given a quadratic equation 9x² + 24x + 16 = 0

To find the discriminant

Here a = 9, b = 24 and c = 16

Discriminant = b² - 4ac

 = 24² - (4 * 9 * 16)

 = 576 - 576

 = 0

The correct options are

A: 0

B: There is one real root with a multiplicity of 2.

The discriminant of the quadratic equation 9x^2+24x+16=0 is 0, which means there is one real root with a multiplicity of 2.

Let's examine the quadratic equation 9x^2+24x+16=0 to find the discriminant and interpret its meaning for the roots of the equation.

A: The discriminant of a quadratic equation in the form ax^2+bx+c=0 is given by the formula b^2-4ac. Substituting the coefficients from our equation (where a=9, b=24, and c=16) into this formula gives us the discriminant:

discriminant = b^2 - 4ac = 24^2 - 4(9)(16) = 576 - 576 = 0.

B: The discriminant tells us about the nature of the roots of the quadratic equation. Since the discriminant is zero, this implies that there is one real root with a multiplicity of 2. Therefore, the quadratic equation has a perfect square factor and the graph of the equation touches the x-axis at one point, indicating that both roots are the same.

Simplify the imaginary number sqr -75

Answers

Answer:

5i[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

and [tex]\sqrt{-1}[/tex] = i

Given

[tex]\sqrt{-75}[/tex]

= [tex]\sqrt{25(3)(-1)}[/tex]

= [tex]\sqrt{25}[/tex]  × [tex]\sqrt{3}[/tex] × [tex]\sqrt{-1}[/tex]

= 5 × [tex]\sqrt{3}[/tex] × i

= 5i[tex]\sqrt{3}[/tex]

What is the height of a triangle with an area of 6.72 square meters and a base of 3.2 meters?​

Answers

Answer:

4.2 meters.

Step-by-step explanation:

Area = 1/2 * base * height.

6.72 = 1/2 * 3.2 * h

h = 6.72 / 1.6

= 4.2 m.

Answer:

4.2 meters

Step-by-step explanation:

The height of a triangle with an area of 6.72 square meters and a base of 3.2 meters is 4.2 meters.

6.72 = 1/2 * 3.2 * h

The shortest living man on Earth is 21 inches tall. The tallest living woman on Earth is approximately 4 times taller than the shortest man. How tall is the tallest living woman on Earth?

Answers

Answer: 84 inches, 7 feet tall.

Step-by-step explanation:

4 x 21 = 84 inches

84/12 = 7 feet ( there are 12 inches in 1 foot)

Other Questions
briana has earned the following test grades: 82%, 75% and 90%. She wants to maintain an 85% average for her test scores. what must she receive on the final test in order to acieve this goal? 'As fewer people buy gym memberships, the demand for running shoes will decrease and the price of a pair of running shoes will increase. The rise in the price of a pair of running shoes will increase the supply of running shoes". This statement is _____ because _____. a. true; the increase in the price of a pair of running shoes increases the supply of running shoes to eliminate the shortage. b. false; a decrease in demand for running shoes does not increase the price of a pair of running shoes and an increase in the price of a pair of running shoes does not increase teh supply of running shoes. c. true, when the demand for running shoes increases, the supply for running shoes increases too so that no surplus occurs d. true; when the demand for running shoes increases, the supply of running shoes increases so that the price of a pair of running shoes doe not increase e. false; the decrease in the demand for running shoes creates a surplus and to eliminate the surplus, supply increases Variety is important for an exercise program because itA. improves muscle flexibilityB. reduces exercise effectivenessC. alleviates boredomD. improves the specificity of exercise what is the slope of the line for y = 1/2x + 2 and what is the y intercept of the line Define relative density 2. What is migration? What are some reasons why people migrated out of Africa? Think about the environment and animals- see page 5 of the lesson. What is the intensity of a sound with a sound intensity level (SIL) 67 dB, in units of W/m^2? The most recent financial statements for Alexander Co. are shown here: Income Statement Balance Sheet Sales $ 43,100 Current assets $ 17,660 Long-term debt $ 37,120 Costs 35,600 Fixed assets 68,400 Equity 48,940 Taxable income $ 7,500 Total $ 86,060 Total $ 86,060 Taxes (22%) 1,650 Net income $ 5,850 Assets and costs are proportional to sales. The company maintains a constant 40 percent dividend payout ratio and a constant debt-equity ratio. What is the maximum dollar increase in sales that can be sustained assuming no new equity is issued? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Why cannot we domain the peristalsis when a diarrheal condition is present? If a 42-piece set of stainless steel flatware costs $113.40 at a certain store, what is the cost (in dollars) per piece? Which of the following is NOT a potential distraction that could negatively impact your fitness to drive? A. Passengers B. Technology C. Emotions D. Traffic lights How to use substitution? (With picture) thanks! Read the paragraph. Then answer the question that follows.Perhaps you wanted pizza for dinner, but were out voted by the rest of the family who wanted chili. This is similar to what happens in a community. One person has to give up a right for the good of the group. Sometimes citizens' duties and rights conflict with each other. A good example is a public protest. People have the right to meet in groups and share ideas. However, a protest can disrupt traffic or other normal activities. A city must provide extra police protection to keep people safe. Therefore, the city has the right to require permission in advance for a protest. Government must make laws to balance the rights of individuals and different groups of people.What type of connection is used in the paragraph?Smilie Contrast CategoryAnalogy A battery can be modeled as a source of emf in series with both a resistance of 10 and an inductive reactance of 5 . For a maximum power delivered to the load, the load should have a resistance of RL = 10 , an inductive reactance of zero, and a capacitive reactance of 5 . With this load, is the circuit in resonance? Arianna kicks a soccer ball off the ground and into the air with an initial velocity of 42 feet per second. Assume the starting height of the ball is 0 feet. Approximately what maximum height does the soccer ball reach? 1.3 ft 2.6 ft 26.0 ft 27.6 ft If p and q prime number greater than 2which of the following is not even integer ? a.p+q b.pq c.p^2-q^2 d.p-q which factor plays the biggest role in delaying the detection of childhood disease?A. Overprotective parenting B. Multiple infections C. Lack of health insurance D. Homeschooling The first term of a sequence is 4 and the common ratio is 2. What is the formula for the sequence based on term number A train 400 m long is moving on a straight track with a speed of 81.4 km/h. The engineer applies the brakes at a crossing, and later the last car passes the crossing with a speed of 17.6 km/h. Assuming constant acceleration, determine how long the train blocked the crossing. Disregard the width of the crossing. a qu hora sales de la escuela ___ de la escuela a las tres