Solve for x 5.2³x = 21.

The area of the triangle with the given base and height where a = 4 and c = 2 is: 608 cm²

Area = 1/2(base)(height).

Given the parameters:

If a = 4 and c = 2, then:

Area = 1/2(base)(height) = 1/2(2ac²)(2ac² + 6)

Area = 1/2(2 × 4 × 2²)(2 × 4 × 2² + 6)

Area = 1/2(32)(38)

Area = 608 cm²

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Answer:

0.08684 m²

Step-by-step explanation:

1 m = 100 cm

1 m² = (100 cm)²

1 m² = 10000 cm²

868.4 cm² × (1 m²)/(10000 cm²) = 0.08684 m²

Step-by-step explanation:

on the coordinate grid you can imagine a right-angled triangle.

the direct distance between the 2 points is the Hypotenuse (the baseline opposite of the 90° angle).

and the x-coordinate difference and the y- coordinate difference of the 2 points are the 2 legs.

we can then use Pythagoras

c² = a² + b²

with c being the Hypotenuse, a and b being the legs.

so,

distance² = (8-0)² + (2-0)² = 64 + 4 = 68

distance (= length ab) = sqrt(68) = sqrt(4×17) = 2×sqrt(17) =

= 8.246211251...

Answer:

x = 10

Step-by-step explanation:

I assume you mean

sqrt(x + 6) = x - 6

let's square the whole equation :

x + 6 = (x - 6)² = x² - 12x + 36

x² - 13x + 30 = 0

the general solution to a quadratic equation is

x = (-b ±sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -13

c = 30

x = (13 ±sqrt(13² - 4×1×30))/(2×1) =

= (13 ±sqrt(169 - 120))/2 = (13 ±sqrt(49))/2 =

= (13 ± 7)/2

x1 = (13 + 7)/2 = 20/2 = 10

x2 = (13 - 7)/2 = 6/2 = 3

for x = 10 we get for the original equation

sqrt(10+6) = 10-6 = 4

sqrt(16) = 4

4 = 4

so, x = 10 is a valid solution.

for x = 3 we get

sqrt(3 + 6) = 3 - 6 = -3

sqrt(9) = -3

3 = -3

so, this (x = 3) counts as an invalid solution, because most teachers nowadays expect the square root symbol operation to deliver only the positive solution.

although a square root is actually representing both : the positive AND the negative solution, because the negative number multiplied by itself is the same result as the positive number multiplied by itself.

so, actually

sqrt(9) = -3

± 3 = -3

is still correct and valid. but not what your teacher expects most likely.

in my younger days only the square root of a negative number counted as invalid operation (in the space of Real numbers, of course), and therefore only a solution leading to a square root of a negative number was an invalid solution.

Step-by-step explanation:

I'm not sure if I got the correct answer since English is not my first language

Answer:

1. 6.75x or (6.75, 1)

2.  buys 9 sandwiches.

Step-by-step explanation:

hope this helps if not let me know have a blessed day

Answer:

55

Step-by-step explanation:

Since whole numbers do not include fractions and decimal values, 55 is the answer

Answer: b

Step-by-step explanation:

The expression represents the surface area of the prism is 2.24+120+160+200. Therefore, option B is the correct answer.

Here a triangular prism has been provided with some measurements.

We have to find Which expression can be used to find the surface area of the following triangular prism.

The formula for the surface area of a triangular prism is formed by adding up the area of all the rectangular and triangular faces of a prism. Observe the following figure of a triangular prism to know the dimensions that are considered to frame the formula.

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 +S2 + S3)L + bh

Here, S1, S2 and S3 are sides of triangles, l=length of the prism, b=base and h=height.

Now, (6+8+10)20+8×6=120+160+200+48

=2.24+120+160+200

The expression represents the surface area of the prism is 2.24+120+160+200. Therefore, option B is the correct answer.

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Answer:

b) 0.324 < p < 0.416

Step-by-step explanation:

b) 0.324 < p < 0.416

Answer:

$2.5/card

Explanation:

Unit price is the price for buying one item.

Here given:

Unit price :-

Answer:

well i lands on y and the explaination would be 3+1=y

Step-by-step explanation:

hope this helps

Answer:

42

Step-by-step explanation:

2+10+3*10 =42 because there are 2 boxes inside each there are 5 then inside each boxes are 3

Answer:

Step-by-step explanation:

Step 1: What are the couch's original coordinates?

Step 2: Rotate the couch 90° counterclockwise.

Rule: (x, y) → (-y, x)

Step 3: Now reflect the "new" couch over the y-axis.

Rule: (x, y) → (-x, y)

Step 4: Finally translate the new new" couch right 1 unit and up 5 units.

Rule: (x + 1, y + 5)

Step 5: Use the distance formula to show that the length of EG is the same as the length of E'''G'''.

Distance between E(-5, 4) and G(-1, 3)

[tex]\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}\\\\\large \textsf {d = $\sqrt{(-1-(-5))^2+(3-4)^2}$}\\\\\large \textsf {d = $\sqrt{(-1+5)^2+(3-4)^2}$}\\\\\large \textsf {d = $\sqrt{4^2+(-1)^2}$}\\\\\ \large \textsf {d = $\sqrt{16+1}$}\\\\\large \textsf {d = $\sqrt{17}$}\\\\\large \textsf {d = ${4.12}$}[/tex]

Distance between E'''(5, 0) and G'''(4, 4)

[tex]\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}\\\\\large \textsf {d = $\sqrt{(4-5)^2+(4-0)^2}$}\\\\\large \textsf {d = $\sqrt{(-1)^2+4^2}$}\\\\\large \textsf {d = $\sqrt{1+16}$}\\\\\ \large \textsf {d = $\sqrt{17}$}\\\\ \large \textsf {d = ${4.12}$}[/tex]

This means that the length of EG is the same as the length of E'''G'''.

Hope this helps!

Answer:

every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false

Answer:

x = 5

Step-by-step explanation:

Simplify both sides :

Add 3 to each side :

Add x to each side :

Divide by 2 on each side :

Answer:

Step-by-step explanation:

9x-3-8x=7-x solve for x

9x - 3 - 8 x = 7 - x

x - 3 = 7 - x

2x = 10

x = 10 : 2

x = 5

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

check

9 * 5 - 3 - 8 * 5 = 7 - 5

2 = 2

the answer is good

Answer:

total cost =$ 16 +$ 4.56=$ 20.56

change received = $25 - $ 20.56 = $4.44 .

Step-by-step explanation:

therefore your answer is 4,44 hope this helps

Answer:

150%

Step-by-step explanation:

half of 6 is three, and 9 has a value of 3 more than 6. meaning that 9/6 = 150%

Answer: [tex]150[/tex]% [tex]([/tex][tex]0.54[/tex][tex])[/tex]

Step-by-step explanation:

For fraction: divide 6 by 100 and remove the % sign.

{[tex]6[/tex]}% [tex]=\frac{6}{100}[/tex]

For decimal: move the decimal point 2 places to the left and remove the % sign.

{[tex]6[/tex]}% [tex]=0.06[/tex]

[tex]100[/tex]% [tex]=9[/tex]

[tex]\frac{6}{100}[/tex] × [tex]9=0.06[/tex] × [tex]9=0.54[/tex]

[tex]6[/tex]% [tex]of~9~is~0.54[/tex]

C. Formula

Explanation:

In Calc, a mathematical equation is called a Formula.

Answer:

Green: (2/11) * (1/10)

Yellow: (2/5) * (1/3)

Purple: (3/10) * (6/19)

Blue: (1/4) * (13/51)

Step-by-step explanation:

 Green:

>> Maria has 11 letters in her bag, and 2 of them are B's.

>> At first, the chance of drawing a B is 2 out of 11: 2/11.

>> Let's assume that everything goes according to plan, and she actually draws a B.

>> Then she has 10 letters, and only one of them is B (she already has the other one).

>> That means that the chance of drawing that B is 1 out of 10: 1/10.

>> Thus, (2/11)*(1/10).

 Yellow:

>> There are 11 + 13 + 16 = 40 items in the closet.

>> The probability of selecting a prop is 16/40 = 2/5 (there are 16 props and 40 items).

>> That means that there are 40-1=39 items left.

>> Therefore, the probability of selecting a costume is 13/39 = 1/3 (as there are 13 costumes and 39 items).

>> The answer is (2/5) * (1/3).

 Purple:

>> There are 6+8+6=20 jellybeans.

>> At first, Hannah grabs an orange candy (there are 6 of them): 6/20 = 3/10.

>> Then there are 19 candies left.

>> Then she grabs a pink one (there are 6 of them): 6/19.

>> The answer is (3/10)*(6/19).

 Blue:

>> There are 52 cards in a standard deck, 13 clubs, 13 spades, 13 hearts, 13 diamonds.

>> The 1st is a spade: 13/52 = 1/4.

>> There are 51 cards left.

>> The 2nd is a club: 13/51.

>> (1/4)*(13/51).

Answer:

5

Step-by-step explanation:

just calculated and got it

Answer:

15

Step-by-step explanation:

First, change it to multiplication and flip the second fraction

5/3×9/1

Then you multiply 5×9 and 3×1. This gets you 45/3

45/3 can be simplified down to 15 so the answer is 15

Answer: radius

Step-by-step explanation:

     The radius is the distance halfway across a circle. Since C is the center of the circle and E is along the outside, the answer is;

                       Radius

The break-even period after which you could make a $10,000 claim for

property damage without the insurance company suffering a loss is 15 months.

The break-even point is the point at which total revenue is equal to the total cost.

Taking only this customer's premiums, deductible, and claims into account, the break-even time during which the client might submit a $10,000 claim for property damage without causing the insurance company a loss is 15 months.

The corporation will not generate a profit or a loss during this break-even time. Therefore, the following Data and Calculations can be made,

Monthly insurance premium payable = $600 (assumed to be paid monthly)

Deductible on the insurance policy = $1,000

Minimum coverage = 30/50/10

Coverage for injury or death to one person = $30,000

Coverage for injury or death to two or more people = $50,000

Coverage for damage to property = $10,000

Average accidents every year = 2

Total claims cost to the insurance before deductibles = $40,000 ($30,000 + $10,000)

Break-even period = 15($10,000 - $1,000)/$600

This break-even period is calculated by subtracting the deductible from the customer's claim and dividing the result by the monthly insurance cost.

Thus, after a 15-month break-even period, the client might file a $10,000 claim for property damage without the insurance company incurring a loss.

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Answer:

15 months

Step-by-step explanation:

verified with a teacher

Answer:

3 = x

Step-by-step explanation:

Well, the two unknown sides share the same size due to the same angle, so now, using the fact we only have the info about one side, we need to do a reverse pythagorean theorem.

[tex]c^{2} = a^{2} + b^{2}[/tex]

Our a and b are the same, so I will change them to "x" and combine them.

[tex]c^{2} = 2(x)^{2}[/tex]

Now we plug in our "c" and square it ("C" in this case is: [tex]3\sqrt{2}[/tex] )

[tex]18 = 2(x)^{2}[/tex]

[tex]9 = x^{2}[/tex]

3 = x

Answer:

2π - 4√5

(= -2.66 to nearest hundredth).

Step-by-step explanation:

√(2π - 4√5)^2

= 2π - 4√5             (by the definition of a square root)

If you want an approximate value it is

-2.66 to the nearest hundredth

Answer: B

Step-by-step explanation:

There are many rules that apply to operations involving exponents. In this question, we'll need the following:

We're given:

[tex]z^{21}\div z^7=z^k[/tex] (solve for k.)

⇒ Rewrite as a fraction:

[tex]\dfrac{z^{21}}{z^7}=z^k[/tex]

⇒ Use the division rule:

[tex]z^{21-7}=z^k\\z^{14}=z^k\\14=k[/tex]

Therefore, the value of k is 14.

k = 14

Answer:

Step-by-step explanation:

Comment

A rational number is one that can be expressed as x/y. The first statement is false. All whole numbers are rational. They can always be expressed as x/1

Some rational numbers are not whole numbers. That's true. 4/7 is rational but not whole.

Some irrational numbers are not integers. I'm tempted to say this is true.

pi is irrational and it certainly is not an integer.

Answer

false

true

true.

2000cm³.

The volume of any 3d shape is the length x height x width.

This case it is 25 x 10 x 8.