A solid oblique pyramid has a regular hexagonal base with an area of 54StartRoot 3 EndRoot cm2 and an edge length of 6 cm. Angle BAC measures 60°. What is the volume of the pyramid?

Answer:

9 cm

Step-by-step explanation:

If you were to imagine this right triangle, you would find it to be a 45 - 45 - 90 triangle. Perhaps the " shorter leg " piece of information was present to trick you, considering that the legs are congruent by converse to base angle theorem.

How is this triangle a 45 - 45 - 90? In such a triangle, the legs can be posed as x cm, as the base angles are congruent ( 45 and 45 ), thus the legs of the triangle are congruent as well. The hypotenuse would be x√2, and as we can see -

If legs = x, Hypotenuse = x√2 = 9√2

Thus, the length of the other leg is 9 centimeters ( 9 cm )

Hope that helps!

Answer:

  B.  -5/4

Step-by-step explanation:

We're going to assume that you don't mean

  y = 45x -3

which has a perpendicular line with a slope of -1/45.

Rather, we're going to assume that you mean

  y = 4/5x -3

so that the slope of the perpendicular line is -5/4.

__

Similarly, we're going to assume that the answer choices are supposed to represent fractions, so that the above slope matches choice B.

_____

If the slope of a line is m, the slope of the perpendicular line is -1/m. The reciprocal of a fraction is the fraction that has numerator and denominator swapped. -1/(4/5) = -5/4.

Answer:

The correct option is;

1 box contains x and 2 boxes contain minus sign

Step-by-step explanation:

Algebra tiles are used in teaching students algebraic concepts. The unit (small) tile represents the number one. The rectangular tile represents the variable x and the large square tile represents x²

The parameters given are;

Ada drove 2 fewer miles today than she drove yesterday, therefore;

Let X = number of miles Ada drove yesterday

We have number of miles Ada drove today = X - 2

Therefore, the correct option is 1 box contains x and 2 boxes contain minus sign

Answer:

its b

Step-by-step

i got it right on my test

A 34_46_37_3÷56×34÷77+34

Step-by-step explanation:

Ratio of adults to children= 7:3

Total no. Of people at the cricket match:150

To find the value of the ratios, 7x+3x=150 ; 10x=150 ; x=150/10:15

So, 7:3 is 7(15) adults to 3(15) children,

Total no. Of adults: 105

Total no. Of children: 45

So, as per the question, the no. Of children that attended the cricket match is 45

Answer:

a(15) = 131

Step-by-step explanation:

Explicit Arithmetic Sequence Formula: an = a1 + d(n - 1)

We are given a1 and d, so plug them in:

an = 5 + 9(n - 1)

To find the 15th term, plug 15 in for n:

a(15) = 5 + 9(15 - 1)

a(15) = 5 + 9(14)

a(15) = 5 + 126

a(15) = 131

Answer:

Step-by-step explanation:

d = 9 ----> d is common difference

[tex]a_{1} = 5\\\\[/tex] ----> first term

In arithmetic sequence, the difference between two terms is constant.

to find nth term,

[tex]a_{n} = a_{1} + (n-1)d\\\\a_{15} = 5 + 14*9\\\\ = 5 + 126\\= 131[/tex]

━━━━━━━☆☆━━━━━━━

▹ Answer

∞

▹ Step-by-Step Explanation

The answer is ∞ because anything divided by infinity is not defined.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

m= 70

s= 40

a= 110

d= 40

Step-by-step explanation:

Angle M is equal to 70 because it is an isoleases triangle.

The 3 sides of a triangle is equal yo 180. So if angle m is 70, then 70+70 is 140. 180-140 is 40. This makes angle s= 40.

Now we have to find angle a. Angle a and 70 make a straight line. So the line is 180. 180-70 is 110. Angle a is equal to 110.

Now we have to find angle d. As I said before All the angles of a triangle equal to 180. 30+110= 140 now 180 - 140= 40. This makes angle d= 40.

Answer:

1/2

Step-by-step explanation:

There are 8 marbles in total and 4 are blue, so 4/8 are blue. Then simplify 4/8 and you will get 1/2.

Answer:

1/2 or 50%

Step-by-step explanation:

Blue= 4, Red= 2, Green= 2

Total marbles= 8

P(B)= 4/8= 1/2 or 50%

Answer:

3x^1/2 in radical form is

[tex] \sqrt{3x} [/tex]

Hope this helps you

Answer:

A=250(1+2.5)^4/12

Step-by-step explanation:

A=250(1+0.1)^t

compounded  quarterly : divide the annual by 4 : 0.1/4=0.025 or 2.5%

2.5% every  3 month (quarterly), t=4/12 (quarterly)

the equation will be :

A=P(1+r/n)^t (p is the principal),r is the rate, n is the number of compounding , t is the time.

i hope it works, just try it

A=250(1+2.5)^4/12

Answer:

hi skkedklsk sn1. soosis

Answer:

They will travel 326 miles on the first day and 226 on the second day

Step-by-step explanation:

We can set up an equation to help us solve it.

Let x be the number of miles they travel on the first part of the journey

We can also write the second part in terms of x. Since it is 100 miles shorter than the first, it can be written as x-100

x+x-100=552

Add 100 to both sides

x+x=652

2x=652

x=326

They will travel 326 miles on the first day and 226 on the second day

Answer:

88.6647727273 cm²

Step-by-step explanation :

The perimeter of the square =(50/2)

                                               = 25 cm

∴ Side of the square = (25/4)

                                    = 6.25 cm

∴ Area of of the square = (6.25)²

                                        = 39.0625 cm²

The circumference of the circle =(50/2)

                                            = 25 cm

∴ 2πr = 25

⇒ r = 25/(22/7)(2)

Area of the circle = (22/7) { 25/(22/7)2} {25/(22/7)2}

                             = (25×25×7) / (2×2×22)

                             = 4365/88

                             = 49.6022727273 cm²

∴ Total area of the circle and the square =(49.6022727273+39.0625000000)

= 88.6647727273 cm²

Hope it helped

If yes mark BRAINLIEST!

Answer:

24

Step-by-step explanation:

Ok, so we see that we have 6 as a leg of the right triangle and 10 as the hypotenuse.  As we look closer, we can tell that this makes the Pythagorean triple 6, 8, 10.  6, 8, 10 is just the Pythagorean triple 3, 4, 5 but it is multiplied by 2.  So now that we know both the legs of this right triangle, we can use the area of a triangle formula (bh)/2.  6*8=48 and 48/2 = 24 which gives us our answer.

Answer:

Step-by-step explanation:

You wrote the formula incorrectly. It is, correctly:

[tex]N=N_0e^{-kt}[/tex]

The k has to be a negative in the formula; if it's not, the time ends up as negative, which will NEVER be the case (unfortunately, time does not go backwards).

If the skeleton contains 67% of the C-14 it contained when the bird was alive, that 67 is our "N". When the bird was alive, it contained 100% of its C-14; so[tex]N_0[/tex] is 100. We know k, e is Euler's number, and we are looking for t.

[tex]67=100e^{-.0001t}[/tex]

Begin by dividing both sides by 100 to get

[tex].67=e^{-.0001t[/tex]

To get that t out from its current exponential position, we take the natural log of both sides. We do this because 1. it's the only way to get an exponent down from that position and 2. because natural logs and e are inverses of each other; natural logs "undo" e's and e's "undo" natural logs.

[tex]ln(.67)=ln(e^{-.0001t})[/tex] Again, because e and ln undo each other:

ln(.67) = -.0001t and solve for t. Take the natural log of .67 on your calculator and get

-.4004775666 = -.0001t and

t = 4004.7 years

Answer:

s = 1,811 square foot

Step-by-step explanation:

Here, we want to calculate the area of the roof.

The best way to proceed here is by substitution.

We simply substitute the length and the price into the bid price equation to get the area of the roof.

From the original equation, the formula to use is ;

P = 1.85s + 4.2f

now from what we are given; s = ?

f = 190 feet and P = $4148

substituting these values, we have;

4148 = 1.85s + 4.2(190)

4148 = 1.85s + 798

1.85s = 4148 -798

1.85s = 3350

s = 3350/1.85

s = 1,810.810810810811

To the nearest square foot, s = 1,811

Answer:

The correct answer is 25/32

Step-by-step explanation:

Let's recall that the division of two fractions is the same as multiplying the first fraction by the inverse or reciprocal of the second fraction. We get the reciprocal of a fraction by interchanging its numerator and denominator.

Upon saying that, we have:

5/8 ÷ 4/5 =

5/8 * 5/4 = (We use the inverse and not it is a multiplication)

25/32

The correct answer is 25/32

Answer:

first option is easiest since it involves just adding both equations term by term.

3m+n=71

2m-n=30

Step-by-step explanation:

The first system looks like the easiest one, because the two equations are listed already in standard form, and the variable "n" appears as positive "n" in the first equation, and as its opposite "-n" in the second equation. Therefore the elimination method works directly by adding both equations term by term (thus cancelling out completely one of the variables in the resultant/combined equation.

Answer:

(x+11)(x-2)

Step-by-step explanation:

To factorise: x^2+9x-22

You must first divide the centre term in such a way that the sum of the 2 values will be divisible by x squared and minus 22 respectively.

So x^2+9x-22 = x^2 -2x + 11x - 22.

Now factorize x^2 - 2x and 11x-22 individually.

x^2 - 2x = x(x-2)

11x - 22 = 11(x-2)

Since these both have the same value in the brackets, use 5at one of the brackets and the other is the combination of them together:

(x+11)(x-2)

Hope this helps

Answer: (x + 11)(x - 2)

Step-by-step explanation: Since the constant term is negative, it can be factored as a positive times a negative.

Before we do that however, an x will go in the first position

of each binomial because x² breaks down into x · x.

Remember, the factors of the constant term

must add to the coefficient of the middle term.

So let's list out the factors of -22.

Factors of -22

+22 · -1

-22 · +1

+11 · -2

-11 · +2

Looking at the list above, that pair

of factors that add 9 is +11 and -2.

So our answer therefore is (x + 11)(x - 2).

Note that if you wrote your answer

as (x - 2)(x + 11), it means the same thing.

Answer:

Correct option: second one -> 21 square units

Step-by-step explanation:

First let's find the side of the square.

We can find this side finding the distance between two points of the square, using the formula:

[tex]distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Using points (1,4) and (4,7), we have:

[tex]distance = \sqrt{(1 - 4)^2 + (4 - 7)^2}[/tex]

[tex]distance = \sqrt{(-3)^2 + (-3)^2}[/tex]

[tex]distance = 3\sqrt{2}[/tex]

So the area of the square is:

[tex]area = distance^2[/tex]

[tex]area = (3\sqrt{2} )^2 = 18[/tex]

Now, let's find the three sides of the triangle:

points (5,8) and (7,8):

[tex]distance = \sqrt{(5 - 7)^2 + (8 - 8)^2} = 2[/tex]

points (7,8) and (8,5):

[tex]distance = \sqrt{(7 - 8)^2 + (8 - 5)^2} = \sqrt{10}=3.1623[/tex]

points (8,5) and (5,8):

[tex]distance = \sqrt{(8 - 5)^2 + (5 - 8)^2} = 3\sqrt{2}=4.2426[/tex]

The area of the triangle can be calculated using the formula:

[tex]area = \sqrt{p(p-a)(p-b)(p-c)}[/tex]

Where p is the semi perimeter of the triangle:

[tex]p = (a+b+c)/2 = (2+\sqrt{10} +3\sqrt{2} )/2 = 4.7025[/tex]

So the area is:

[tex]area = \sqrt{4.7025(4.7025-2)(4.7025-3.1623)(4.7025-4.2426)} = 3[/tex]

Now, adding both areas, we have:

Total area = 18 + 3 = 21 square units

Correct option: second one

Answer:

21

Step-by-step explanation:

love you

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

              Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Lets do this step by step.

Simplify: [tex](4x2 - 2x) - (-5x2 - 8x).[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~

Solution:

[tex](4x2 - 2x) - (-5x2 - 8x)= 4x2 - 2x + 5x2 + 8x.= 4x2 + 5x2 - 2x + 8x.= 9x2 + 6x.= 3x(3x + 2).[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~

Answer: [tex]3x(3x + 2)[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

f(x) = 3 - 2x

[tex]g(x) = \frac{1}{x + 5}[/tex]

[tex](\frac{f}{g}(8) = \frac{3-2x}{\frac{1}{x+5}}[/tex]

[tex](\frac{f}{g}(8) = (3 - 2x).(x + 5)[/tex]

[tex](\frac{f}{g}(8) = 3.x + 3.5 - 2x.x - 2x.5 = 3x + 15 - 2x^2 - 10x[/tex]

[tex](\frac{f}{g}(8) = -2.8^2 - 7.8 + 15 = -2.64 - 56 + 15 = -169[/tex]

Answer:

A. -169

Step-by-step explanation:

e2021

Answer:

I hope it will help you....

Answer:

[tex]h = 15.163\ meters[/tex]

Step-by-step explanation:

(Assuming the correct angles are 30° and 45°)

We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.

Let's call the initial distance of the boy to the pole 'x'.

Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

[tex]tan(30) = (h - 1.5) / x[/tex]

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

[tex]tan(45) = (h - 1.5) / (x - 10)[/tex]

So rewriting both equations using the tangents values, we have that:

[tex]0.5774 = (h - 1.5) / x[/tex]

[tex]1 = (h - 1.5) / (x - 10) \rightarrow (h - 1.5) = (x - 10)[/tex]

From the first equation, we have that:

[tex]x = (h - 1.5) / 0.5774[/tex]

Using this value of x in the second equation, we have that:

[tex]h - 1.5 = \frac{ (h - 1.5) }{0.5774} - 10[/tex]

[tex]h + 8.5 = \frac{ (h - 1.5) }{0.5774}[/tex]

[tex]0.5774h + 4.9079 = h - 1.5[/tex]

[tex]0.4226h = 6.4079[/tex]

[tex]h = 15.163\ meters[/tex]

Answer:

donda esta laletcha

Step-by-step explanation:

hola

Answer:

[tex]\boxed{D = 8.5 \ units}[/tex]

Step-by-step explanation:

The coordinates are (5,7) and (-3,4)

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

D = [tex]\sqrt{(-3-5)^2+(4-7)^2}[/tex]

D = [tex]\sqrt{(-8)^2+(-3)^2}[/tex]

D = [tex]\sqrt{64+9}[/tex]

D = [tex]\sqrt{73}[/tex]

D = 8.5 units

Answer: B) 5

Step-by-step explanation:

3 = 9/3

9/3 < 13/3

————————

5 = 15/3

15/3 > 13/3

————————

-9 = -27/3

-27/3 < 13/3

————————

2 = 6/3

6/3 < 13/3

Answer:

  all are 90°

Step-by-step explanation:

Vertical angles are congruent, and linear angles are supplementary, so we have ...

  ∠AOC + ∠COB + ∠BOD = 270°

  180° + ∠BOD = 270°

  ∠BOD = 90°

Since the lines cross at right angles, all of the angles are 90°.

Answer:

Answers are below

Step-by-step explanation:

The domain of the function is all real numbers.

The range of the function is also all real numbers.

I graphed the function on the graph below.

Answer:

180 - 133

Step-by-step explanation:

Answer:

x = 47 degrees

Step-by-step explanation:

Solve for X:

x + 133 = 180

180 - 133 = 47

x = 47