Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about
triangles.
9 in
9 in.
Xin
6 in

Answer:

New depth of the milk will be 4 cm.

Step-by-step explanation:

If the carton (shaded side) is standing vertically, milk in the box will acquire the dimensions of the box.

Length of the cuboid formed by the the milk = 8 cm

Width = 5 cm

Height = 12 cm

Volume of the cuboid formed by the milk in the carton = Length × width × height

V = 8 × 5 × 12

  = 480 cm³

If the carton is turned so that the carton stands on the shaded face,

Volume of the milk remains unchanged but the dimensions of the cuboid formed by the milk inside the carton will get changed.

Length = 15 cm

Width = 8 cm

Height = h cm

Then volume of the cuboid = Length × width × height

V = 15 × 8 × h

480 = 120h

h = [tex]\frac{480}{120}[/tex]

h = 4 cm

Therefore, new depth of the milk will be 4 cm.

Answer:

A

Step-by-step explanation:

We can find a common denominator for all of these fractions, compute, and then compare the values to find the right answer.

Answer:

when you simplify you continue until you get to the simplest form but when you solve you continue until you get an answer. Solving gives you a value for a variable. You mean simplify and get 2x - 10 but when you solve you continue until you get x as 5

Step-by-step explanation:

Answer: ok, so simplifying is when you make something less complex or complicated. Solving means an expression can be used for representating  the solutions. for Example, say if you have the equation x+y=2x-1 is solved for the unknown x by the expression x=y+1. solving gives you the value for the variable. you know the difference by when you are simplifying you are trying to make the problem less complicated or less complex. and when you are solving you are trying to find the answer to the problem..

Step-by-step explanation:

Answer:

  A 2-column table with 4 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0. The second column is labeled f of x with entries 2, 0, negative 10, negative 24.

Step-by-step explanation:

The table shown in the attachment has the function that is decreasing in the interval of interest.

"Decreasing" means that for increasing x-values, each f(x) value is less than the one before.

Answer:

The answer is C

Step-by-step explanation:

I just took the test and got it right.

Hopefully this helps you :)

pls mark brainlest ;)

Answer:

-13a

Step-by-step explanation:

Since -8 and -5 have like variables, you can subtract them. -8-5 is -13, so the answer is -13a.

Answer:

-13a

Step-by-step explanation:

These two numbers are already like terms, so you can subtract it easily.  

First, don't look at the a.

-8-5= -13 because if something is negative and gets subtracted, that means it'll still be negative.

Now that we now it equals -13, we can add the variable a back onto the answer.  We get -13a.  

Answer:

4 and 5

Step-by-step explanation:

cube root of 66 is 4.041240021

Answer:

[tex]\Large \boxed{\mathrm{Option \ D}}[/tex]

Step-by-step explanation:

(6, 4)

x = 6 and y = 4

y > -1/2x + 7

Plug in the values to check if it is true.

4 > -1/2(6) + 7

4 > -3 + 7

4 > 4

This statement is false.

(6, 4) lies on the line.

Answer:

(4x+1)²

Step-by-step explanation:

Answer:

[tex]\boxed{4w+40}[/tex]

Step-by-step explanation:

Use the distributive property to evaluate the equation.

-4(-w - 10)

4w + 40

-4 * -w = 4w because two negatives cancel to make a positive value.

-4 * -10 = 40 for the same reason.

Answer:

8/10

Step-by-step explanation:

10x10 is 100 8x10 would be 80 so 80/100=8/10

Answer:

8/10 = 4/5

Step-by-step explanation:

0.8 is 8-10th which means 8 divided by 10

reducing 8/10 to its lowest term since 8 and 10 has 2 as common factor, then

(8=2*4)/(10=2*5)

if 2 cancels out, then you are left with 4/5

Answer:

70 degrees

Step-by-step explanation: this is an equilateral triangle. All of its angles are the same.

Answer:

70

Step-by-step explanation:

to solve : start wit the inside brackets first

10 [25-{8-6 (16-13)}÷5​   start 16-3

10[25-{8-6(3)}÷5           then multiply 6 and 3

10[25-{8-18}]÷5              then subtract 8-18

10[25-(-10)]÷5                

10[25+10)÷5                  add numbers inside brackets

10×35÷5=70                 multiply and divide

Answer:

6.1 seconds

Step-by-step explanation:

set the equation equal to zero

0 = -16t² + 97.6t

factor out t

t(-16t + 97.6) = 0

-16t =- 97.6

t =  6.1

The NFL kicker's kicks remain in the air on average for approximately 3.05 seconds.

To find the average hang time of the NFL kicker's kicks, we need to determine the time at which the height (h) reaches its maximum value. The maximum height corresponds to the peak hang time.

The equation that models the hang time is given as: h = -16t^2 + 97.6t

This is a quadratic equation in the form: h = at^2 + bt + c

In our case, a = -16, b = 97.6, and c = 0 (since there is no constant term).

The time (t) at which the height (h) reaches its maximum value can be found using the formula: t = -b / 2a

Let's calculate the time (t):

t = -b / 2a

t = -97.6 / (2 * -16)

t = -97.6 / -32

t = 3.05 seconds (rounded to two decimal places)

So, the NFL kicker's kicks remain in the air on average for approximately 3.05 seconds.

To know more about air:

https://brainly.com/question/13700629

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The point shown on g(x) is (1,3)

If x = 1 and y = 3, this means x is multiplied by 3 ( 1 x 3 = 3)

This makes g(x) 3x^2

The answer is A.

Answer:

f(1) = 11

Step-by-step explanation:

f(x) = 3x + 8

Let x=1

f(1) = 3(1) +8

    = 3+8

   = 11

Answer:

[tex]\large \boxed{\mathrm{seven }}[/tex]

Step-by-step explanation:

[tex]7^2[/tex]

A number squared also means that the number is multiplied by itself twice.

[tex]7^2 =7 \times 7[/tex]

Answer:

12 ^ 1/2 or [tex]\sqrt{12}[/tex]

Step-by-step explanation:

12^2

We want to do the inverse operation, which is the square root

We can write the square root as

^ 1/2  or as [tex]\sqrt{ }[/tex]

So the inverse of squaring 12 is

12 ^ 1/2 or [tex]\sqrt{12}[/tex]

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

Explanation:

Both of these represent the same idea. Square root notation is probably what you're more familiar with. It turns out that raising any positive number to the 1/2 power is the same as a square root. We can write

[tex]\sqrt{x} = x^{1/2}[/tex]

The 1/2 power notation may seem more clunky or confusing, but its helpful to extend to things like cube roots, fourth roots, etc.

The more general rule is

[tex]\sqrt[n]{x} = x^{1/n}[/tex]

which says the nth root of x is the same as x^(1/n).

Answer:

8 ^ 20

Step-by-step explanation:

(8 ^ 10) ^2

We know that a^ b^ c = a^ ( b*c)

8 ^ (10*2)

8 ^ 20

Answer: Please Give Brainliest. Thank You!

10 more

The number of seventh-graders that must join the club in order to meet the president's wishes is 10.

Since there are 45 eighth graders and 20 seventh graders in a school club and the president of this club wants 40% of the club’s members to be seventh graders, we need to find the number of seventh graders that will be added to the school club to make their percentage 40 %.

Let the number of seventh-graders to be added be x.

So, the new number of seventh-graders is 20 + x and the new number of people in the club is 45 + 20 + x = 65 + x

Thus, the percentage of seventh graders in the club is thus

[tex]\frac{20 + x}{65 + x} X 100[/tex] %

Since this percentage equals 40 %, we have that

[tex]\frac{20 + x}{65 + x} X 100[/tex]% = 40 %

[tex]\frac{20 + x}{65 + x} = \frac{40}{100} \\\frac{20 + x}{65 + x} = 0.4[/tex]

Cross-multiplying we have

[tex]20 + x = 0.4(65 + x)[/tex]

Expanding the bracket, we have

[tex]20 + x = 26 + 0.4x[/tex]

Subtracting 20 from both sides we have

[tex]x = 26 - 20 + 0.4x\\x = 6 + 0.4x[/tex]

Subtracting 0.4x from both sides, we have

[tex]x - 0.4x = 6\\0.6x = 6[/tex]

dividing both sides by 0.6, we have

x = 6/0.6

x = 10

So, the number of seventh-graders that must join the club in order to meet the president's wishes is 10.

Learn more about percentages here:

https://brainly.com/question/23127071

3520/5280 = 2/3 of a mile per minute.

2/3 x 60 minutes per hour = 40 miles per hour.

40-30 = 10

Bison runs 40 miles per hour

The bison runs 10 miles an hour faster than the deer

Answer:

American bison is faster than the white-tailed deer by 10 more miles per hour.

Step-by-step explanation:

In 1 hour there are 60 minutes.

=> 3520 feet = 1 minute

=> 60 minutes = 3520 x 60

=> 211200 feet = 60 minutes

So, 211200 feet can be converted in miles.

=> 1 mile = 5280 feet

=> 211200 feet = x miles

=> x = 211200 / 5280

=> x = 40 miles per hour.

So, a white-tailed deer can run up to 30 miles per hour.

     an American bison can run up to 40 miles per hour.

American bison runs 10 more miles per hour than a white-tailed deer.

Answer:

(5+5+5+5)*5

20*5=100

[tex]5\cdot5\cdot5-5\cdot5=125-25=100[/tex]

Answer:

the constant term of the expression represents the difference between Shelly and Terrence points.

Answer:

96 sq. m

Step-by-step explanation:

If the width is x, the length is x + 4 and since perimeter = 2 * (length + width), we can write:

40 = 2(x + x + 4)

40 = 2(2x + 4)

20 = 2x + 4

16 = 2x

x = 8 so x + 4 = 12, therefore the area is 8 * 12 = 96 square meters.

Answer:

96m^2

Step-by-step explanation:

40=2(x+x+4)--> 2(2x+4).

20=2x+4

20-4=2x

16=2x

8=x

8✖️12=96m^2

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

sin²x + cos²x = 1 ⇒ 1 - sin²x = cos²x

cot x = [tex]\frac{cosx}{sinx}[/tex]

Consider the left side

[tex]\frac{(1-sin0)(1+sin0)}{sin^20}[/tex] ← expand numerator using FOIL

= [tex]\frac{1-sin^20}{sin^20}[/tex]

= [tex]\frac{cos^20}{sin^20}[/tex]

= cot²Θ = right side

Answer:

The correct answer is b.

Step-by-step explanation:

if you arrange the data set in ascending order you will have:

x              y

-2            [tex]\frac{1}{100}[/tex]

-1              [tex]\frac{1}{10}[/tex]

0               1

1                10

3               1000

Exponential growth is an increase in a specific way of a data set over time. here, as x increases by a +1, y increases with ×10

Answer:

h= 9.473684 in.

Step-by-step explanation:

1/2(8)(15)*2+2(15h)+8h=480

120+38h=480

38h=480-120

38h=360

h= 9.473684 in.

Answer:

5040

Step-by-step explanation:

All the possible Numbers that can be placed in the last for places =0,1,2,3,4,5,6,7,8,9

If all the digits  have be different , then

= 10 x 9 x 8 x 7

= 90 x 56

=  5040   are total no. of 4-digit numbers can be made using those 4 digits.

Answer:

1st side: 150

2nd side: 30

Answer:

[tex]\frac{80}{100}[/tex]

Step-by-step explanation:

All percentages are out of 100. Therefore, 80% is equal to [tex]\frac{80}{100}[/tex]. It can also be simplified to [tex]\frac{8}{10}[/tex] or [tex]\frac{4}{5}[/tex].

Answer:

The correct option is;

c. Number of science courses, discrete; time to complete homework, continuous

Step-by-step explanation:

There are two types of random variables, discrete random variables and continuous  random variables

Discrete random variables are variables that are always re-presentable by a finite countable number, such that discrete random variables can be taken as a count of items count

Therefore, as the number of science courses are fixed and such that a specific number can be ascribed to the courses at any time (except there are changes), is a discrete random variable

A continuous random variable is one whose possible values are infinite and are generally measurements of values of such as weight, height, time, and amount

Therefore, the time to complete the homework is a continuous random variable.