Yesterday, 5% of the 120 sixth graders were late to school. How many sixth graders were late? Show your work or explain how you arrived at your answer.
Please keep it simple

The radius of the base of the cone is √189 ft.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. The theorem can be used to determine how steep mountains or slopes are. To calculate the distance between an observer and a location on the ground when the observer is looking down from a tower or structure. It is mostly utilized in the construction industry.

For question 5 :

Given a right-angle triangle that has a hypotenuse of 14 and a base is 9 cm.

From the Pythagorean theorem:

Hypotaneuse² = base² + height²

14² = 9² + height²

height² = 196 - 81

height² = 115

height = √115

For question 4:

The distance from the top of the cone to the edge is 15 feet. The height of the cone is 6 feet.

The radius of the cone = base pf right angle triangle

From the Pythagorean theorem:

Hypotaneuse² = base² + height²

15² = base² + 6²

225 - 36 = base²

base = √189

For question 3:

The distance from the plane to the airport is = 3.35 * 10,000ft

for Question 2:

the height of the television will be 15.65 inches

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Answer: 1.25 pounds

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

Answer: 160%

Step-by-step explanation:

We know that

85

is the same as

8÷5

Then using

Long Division for 8 divided by 5

gives us

1.6

Converting our number to a percentage:

1.6×100

=160%

Answer:

It costed $ 13,564.8 .

Step-by-step explanation:

radius = diameter/2 = 6/2 = 3 m

h = 5 m

volume = 3.14 * r² *h

= 3.14 * 3² * 5

= 3.14 * 45

= 141.3 m³

Concrete costed = $ 141.3 * 96 = $ 13,564.8

Answer: False, True, True, True.

Step-by-step explanation:

A : False, if you place the same parallelogram back to its original place, it wont change its size.

B : True, if the two sides are parallel originally, then it will most likely be parallel for the final product.

C : True, you can move the parallelogram back to its original state, and the two sides are equal to the final product.

D : True, just like B, if the original is the same length, chances are that the final product will be equal.

(please comment if I got it wrong)

Answer:

false, true, true, true

33/55 as a decimal is 0.6

Answer:

Step-by-step explanation:

Angle 5: 55

Angle 6: 125

Angle 7: 55

Angle 8: 125

Hope this helps.

the value of the x and y for the given system of equations are 6, and -2 respectively.

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given, a system of equations

2x + 5y = 2

2x - 5y = 22

Adding both equations:

4x = 24

x = 6

From equation 1

2 * 6 + 5y = 2

5y = -10

y = -2

Therefore, the value of the x and y for the given system of equations are 6, and -2 respectively.

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The measure of <1 is 31 degree and measure of <2 is 106 degree.

If a triangle side is created, the outside angle that results is equal to the product of the two opposite internal angles.

Given

m <4 = 74 and m<3 = 43

Using Exterior Angle Property

m<4 = m<3 + m<1

74 = 43 + m<1

m <1= 74-43

m <1= 31 degree

and, Using Angle Sum Property

<1+ <2 + <3 = 180

31 + <2 + 43 = 180

<2 = 106 degree

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Answer:

Solution = 24 mice

Step-by-step explanation:

The ratio of brown mice to white mice is 5:3 this means the number of brown to white mice has to double until there is 6 more brown mice than white mice.

For example:

5:3

10:6

15:9

15 + 9 = 24

Therefore, there are 24 mice at the store.

Answer:

13.3

Step-by-step explanation:

draw a line from A to be perpendicular to line BC

which will cut  a  into 2 parts.  call it a1, & a2

so now you have 2 right angle triangle - left side one with an angle known 60°, which means the top angle after the separation is 30° & something else, we don't care that part.

any right angle triangle with 30-60-90 ° has a property of shorter side = 1/2 of the long side. so right away we know a1= 5. and the perpendicular line = 5√3.  this property you should memorize.

now solve a2. look at the triangle on the right.

because we know the perpendicular line is 5√3, and long side =12

so (a2)² = 12² - (5√3)² =144-75 =69

so a2 = 8.3

so a = a1+a2 = 5+8.3 =13.3

Answer:a = 13.31

Step-by-step explanation:

Answer:

314.159 square cm

Step-by-step explanation:

Area of an annulus with external radius r1 and internal radius r2 is given by
π(r1² - r2²)

radius = half diameter

r1 = 25/2 = 12.5 cm

r2 = 15/2 = 7.5 cm

Area of annulus
= π(12.5² - 7.5²)
= 314.159 square cm

The correct answer is 314.159 square cm

Hi there, here's your answer:

[tex]\sqrt{30}[/tex] -> Real, Irrational Root

-26 -> Real, Rational, Integer

[tex]\sqrt{64}[/tex] = 8 -> Real, Rational Root, Whole Number

[tex]\frac{1}{4}[/tex] -> Real, Rational

0.36336333633336.... -> Real, Irrational Decimal

0.42424242... -> Real, Rational Decimal

[tex]\sqrt{-7}[/tex], or [tex]7i[/tex] -> Imaginary Number

Hope it helps!

Answer: I think you need to rationalise all the surds

Step-by-step explanation:

Answer:

7.5 cm

Step-by-step explanation:

P= a + b + c

23 mm = 2.3 cm

2 cm

3.2 cm

2 + 2.3+ 3.2= 7.5 cm

Answer:

x-intercept: (-6,0)

y-intercept: (0,-8)

Step-by-step explanation:

The x-intercept is when y = 0.

The y-intercept is when x = 0.

Each intercept can be solved with substitution in the standard form equation.

Given the re-arranged standard form equation is

-3y = 4x + 24

With a standard form equation being in the form:

Ax + By = C.

-3y = 4x + 24 →

-3y – 24 = 4x + 24 – 24 →

-3y – 24 = 4x →

-3y + 3y – 24 = 4x + 3y →

-24 = 4x + 3y →

4x + 3y = -24

x-intercept:

given y = 0

4x + 3(0) = -24 →

4x = 24 →

4x / 4 = -24 / 4 →

x = -6 →

(-6, 0)

y-intercept:

given x = 0

4(0) + 3y = -24 →

3y = -24 →

3y / 3 = -24 / 3 →

y = -8 →

(0, -8)

Answer:

2040

85 * 24 = 2,040

Step-by-step explanation:

Hope it helps! =D

Answer:

2040

Working out formula: 24 x 85 = 2040

Step-by-step explanation:

This is actually a simple question! Since there are 85 students on the team and they each have to complete 24 math problems in an assessment, this basically means you have to multply 85 by 24 which gives us 2040 questions in total that the teacher will have to grade!

Hi there, here's your answer:

According to the question, we find 16 out of 20 objects.

To express this in a fraction at its simplest form,

We first write down the fraction.

[tex]\frac{16}{20}[/tex]  

The HCF of 16 and 20 is 4.

On dividing the numerator and denominator by 4, we get:  [tex]\frac{4}{5}[/tex]

To express [tex]\frac{4}{5}[/tex] as a decimal:

Observe the denominator. We know that 5×2 = 10

On multiplying the numerator and denominator by 2, we get [tex]\frac{8}{10}[/tex]

Which, in decimal form, is 0.8

To express [tex]\frac{16}{20}[/tex] as a percentage,

We simply multiply the fraction by 100.

[tex]\frac{16}{20}[/tex] × [tex]100[/tex] [tex]= 16[/tex] × [tex]5 = 80[/tex]%

Therefore, 16 out of 20 in percentage is written as 80%.

Hope it helps!

Step-by-step explanation:

Just use the equation for volume of a cylinder

For cylinder 1

V=(3.14)r^2h

V=(3.14)1^2(8)

V=(3.14)(1)(8)

V=25.12 cm

For cylinder 2

V=(3.14)r^2(h)

V=(3.14)(2^2)(8)

V=(3.14)(4)(8)

V=100.48 cm

For cylinder 3

V=(3.14)r^2(h)

V=(3.14)(3^2)(8)

V=(3.14)(9)(8)

V=226.08cm

If your confused or have a question just ask

Hope this helped :)

Answer:

Step-by-step explanation:

The volume of the cylinder is calculated by multiplying the area of its base by its height. The height of the cylinder is 8 inches (the height of the cube through which it is being drilled). Therefore, its volume is πr2h = π * 3.752 * 12 = 168.75π in3.

Answer:

78

Step-by-step explanation:

78

Answer:

23

############################

Answer: The answer the second option

Step-by-step explanation:Because since 270 degrees counterclockwise is equal to 90 clockwise you would use the 90 formula and swap the x and y and add a negative to the x and if you do that with each on the second d option should match you answer exactly.

P.S Also, I know this is absolutely correct because I took the test and got a 100, and I hope this helps you in the future to understand a question similar to this without any help, you got this and I hope you have a wonderful day or night :)

Answer:

89

Step-by-step explanation:

because yes

Answer:A woman is an adult female human. Prior to adulthood, a female human is referred to as a girl (a female child or adolescent). The plural women is sometimes used in certain phrases such as "women's rights" to denote female humans regardless of age.

Step-by-step explanation:

Answer:

An adult female human being.

Answer:

Therefore, it made 42 candles.

Step-by-step explanation:

Volume of cylinder = 3.14 * r² * h = 3.14 * 2² * 6 = 3.14 * 24 = 75.36 in³

It made = 3165.12 in³/75.36 in³ = 42

Answer: gotta scroll down sry

Step-by-step explanation:

First set up equations with variables that show the information you have:
c = chocolate // g = gummy // h = hard candy

178 = c + g + h

h = c + 15

g = 2c - 5

Then, solve all the equations for a number:

178 = c + g + h (leave as is)

15 = -c + h (subtract 'c' from the original equation's right side and switch the sides of the equation)

-5 = -2c + g (subtract '2c' from the original equation's right side and switch the side of the equation)

Then, line up all the variables and subtract the top equation by the lower two:

178 = c + g + h

15 = -c + 0g + h

-5 = -2c + g + 0h

---------------------------

168 = 4c + 0g + 0h >>>> 168 = 4c

Solve for 'c' and plug it into the other equations to find 'h' and 'g':

168/4 = 4c/4

42 = c

15 = -(42) + h                    -5 = -2(42) +g

57 = h                                79 = g

Add all the numbers together to double-check:

42 + 57 + 79 = 178

chocolates = 42

gummies = 79

hard candies = 57

Answer: 7

Step-by-step explanation:

In 9 hours, Ali can read 63 chapters. To find how many chapters, on average, he can read per hour, we divide 63 by 9 to get 7.

This is how we put it as an equation:

[tex]9 hours = 63 chapters\\1 hour = \frac{63}{9} chapters \\1 hour = 7 chapters[/tex]

If you still have questions, please reply back, I will help you as much as I can :)

1) False

2) False - All integers are not irrational numbers

3) False

4) True