the volume of a pyramid whose base is aright triangle is 234 units. If the two legs of the right triangle measures 9 units and 12 units find the height of the pyramid.

Step-by-step explanation:

[tex] \quad \twoheadrightarrow\sf {cos \; \theta = \dfrac{Base}{Hypotenuse} } \\ [/tex]

Hence, base = 2 units and hypotenuse = 3 units.

[tex] \quad \twoheadrightarrow\sf { H^2 = B^2 + P^2} \\ [/tex]

[tex] \quad \twoheadrightarrow\sf { P^2 = H^2 - B^2} \\ [/tex]

[tex] \quad \twoheadrightarrow\sf { P^2 = (3)^2 - (2)^2} \\ [/tex]

[tex] \quad \twoheadrightarrow\sf { P^2 = 9- 4} \\ [/tex]

[tex] \quad \twoheadrightarrow\bf { P = \sqrt{5}} \\ [/tex]

Now, we know that :

[tex] \quad \twoheadrightarrow\sf {cosec \; \theta = \dfrac{Hypotenuse}{Perpendicular} } \\ [/tex]

[tex] \quad \twoheadrightarrow\bf{cosec \; \theta = \dfrac{3}{\sqrt{5}} } \\ [/tex]

Therefore, the required answer is 3/√5.

Answer:

x is greater than -2 and less than or equal to 3

Step-by-step explanation:

so the 3x + 1 is greater than -5

so 3x is greater than -6

we divide both sides by 3

then we find out that x is greater than -2

we also know that 3x + 1 is less than or equal to 10

so 3x is less than or equal to 9

we divide both sides by 3

then we find out that x is less or equal to 3

so we can say that x is greater than -2 and less than or equal to 3

Answer:

From what i've gotten on another answer on brainl It might be 3 pounds of apples for 5.76. On another question i've resarched i've also gotten $7.91.

Step-by-step explanation:

Sorry if none of these answers have helped you.

Answer:

The 2nd offer - 3 pounds of apples for 5.76

Step-by-step explanation:

1. Find the unit price for the 1st offer.

The unit price is 1 pound of apples for $2.15.  <-- given information

2. Find the unit price for the 2nd offer.

We can set up a proportion to find the unit price.

3 pounds / $5.76 = 1 pound / $x

Let x = how much 1 pound of apples are for the 2nd offer

Cross multiply

3 · x = 5.76 · 1

Simplify

3x = 5.76

Divide both sides by 3 to isolate x

x = 1.92 = $1.92 for a pound of apples (2nd offer)

3. Compare the two offers' unit prices.

$2.15   <-- 1st offer

$1.92   <-- 2nd offer

The second offer is the better value because it costs less for each pound of apple.

I hope this helps and please mark me as brainliest!

The gross income earned by the workers if paid time and a half on Saturdays and double time on Sundays is $180.06

Total = 10.75(1.5)(x) + 10.75(2)(y)

where,

Total = 10.75(1.5)(4.5) + 10.75(2)(5)

= 72.5625 + 107.5

= $180.0625

Approximately,

$180.06

Learn more about equation:

https://brainly.com/question/2972832

Step-by-step explanation:

I think the answer is x=70

Step-by-step explanation:

h varies directly with a and inversely with b.

2 is the constant of variation.

Answer:

0, π

Step-by-step explanation:

cos x sin x = sin x

cos x sin x - sin x = 0

sin x (cos x - 1) = 0

sin x = 0, x = 0, π

cos x - 1 = 0

cos x = 1, x = 0

So answers: 0, π

Answer:

5/7

Step-by-step explanation:

Umm because the denominator 7 is less than 10 and 7 is the nearest number to 1/2

I hope it helps

Answer:

140% - 7/5 - 1.4

4% - 1/25 - 0.04

56% - 2.8/5 - 0.56

95% - 19/20 - 0.95

Answer:

49x-21y-6

Step-by-step explanation:

7(7x) 7(-3y) -6

49x-21y-6=0

Answer:

down syndrome

Step-by-step explanation:

Answer:

A' = (- 3, 0)

Step-by-step explanation:

[tex]A' = (x + 3, \: y - 2) \\ \\ \implies \: A' = ( - 6+ 3, \: 2 - 2) \\ \\ \implies \: A' = ( - 3, \: 0) [/tex]

Answer:

A' = (-3, 0)

Step-by-step explanation:

Pre-Image coordinate:

A (-6, 2)

Translation: (x, y) --> (x + 3, y - 2)

(-6 + 3, 2 - 2)

(-3 0)

Image coordinate:

A' = (-3, 0)

hope this helps!! p.s. i really need brainliest :)

The measured weight is (2 + 3/4) lb, so the correct option is A.

First, we can see that the needle is between the 2lb and 3lb mark, so we know that we have a measure between these two values.

Now, let's count the number of small lines between the needle and the 2lb mark. There are 12 marks (the 12th is below the needle). Then the measure will be:

(2 + 12/16) lb.

Now we want to simplify the fraction. If we divide both numerator and denominator by 4, we get:

12/16 = 3/4

Then the weight is:

(2 + 3/4) lb

Then the correct option is A.

If you want to learn more about weight, you can read:

https://brainly.com/question/11408596

Answer: Now, let's count the number of small lines between the needle and the 2lb mark. There are 12 marks (the 12th is below the needle). Then the measure will be:

(2 + 12/16) lb.

Now we want to simplify the fraction. If we divide both numerator and denominator by 4, we get:

12/16 = 3/4

Then the weight is:

(2 + 3/4) lb

Then the correct option is A.

Step-by-step explanation:

Answer:

Code: AHAN

Step-by-step explanation:

Domain: 0 to 8.

Range: 0 to 18.

0 is A.

H is 8.

N is 18.

Answer: 8/12

Step-by-step explanation:

1/4 times 3 will give you 3/12 and add 5/12

The value of the quantity after 1 year, to the nearest hundredth is 4000.00

The standard exponential equation is eexpressed as:

[tex]P(t)=P_0e^{kt}[/tex]

Given the following parameters

[tex]P_0=4000\\r =0.0005\\t = \frac{1}{50} =0.02 (yearly)[/tex]

Substitute into the formula to have:

[tex]P(t)=4000e^{0.0005(0.02)}\\P(1)=4000e^{0.00001}\\P(1)=4000[/tex]

Hence the value of the quantity after 1 year, to the nearest hundredth is 4000.00

Learn more on exponential equations here: https://brainly.com/question/12940982

keeping in mind that the vertex is half-way between the focus point and the directrix, and since the focus point is above the directrix, meaning the parabola is a vertical parabola opening upwards, the parabola will more or less look like the one in the picture below, with a distance from the vertex of "p" being positive since it's opening upwards.

[tex]\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\begin{cases} h=0\\ k=0\\ p=\frac{1}{2} \end{cases}\implies 4(\frac{1}{2})(y-0)~~ = ~~(x-0)^2\implies 2y=x^2\implies y=\cfrac{1}{2}x^2[/tex]

Answer:

it's "whats shaking"

Step-by-step explanation:

Answer:

k=8.

n=12

a=29

h=5

i=297

g=89

Answer:

4%

Step-by-step explanation:

6000 x 100 / 5000 = 120

after 5 years the total interest is 20%

each year interest = 4%

( 4 x 5 =20 )

Answer:

82 ft²

Step-by-step explanation:

Answer:

23 gallons

Step-by-step explanation:

Given:

A barn is shaped like a rectangular prism with a triangular prism on top as shown.

The exterior four walls and two triangular faces need to be repainted.

To Find:

If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn?

Solve:

[tex]12\cdot38\div2\cdot2+84\cdot20+38\cdot20\cdot2[/tex]

= [tex]5336\;square\;feet[/tex]

[tex]\frac{5336}{232}=23[/tex]

Hence 23 gallons to repaint the barn

~lenvy~

Answer: Length = 9 in

Width = 12 in

Step-by-step explanation:

Length L = 3 + W

Perimeter P = 42 in

Perimeter = 2L + 2W

plugin values:

42 = 2(3 + W) + 2W

42 = 6 + 2W + 2W

42-6 = 4W

W = 36 / 4

W = 9  

solve L by substituting the value of W=9 into the equation:

L = 3 + W

L = 3 + 9

L = 12

therefore, the dimensions of the rectangle:

               Length = 9 in

               Width = 12 in

Answer:

Answer:

length = 9 in

width = 12 in

Step-by-step explanation:

You have to use the formula for the perimeter of a rectangle

P=2(l+w)

Answer:

$45.60 would be what Arun would have saved.

Answer:

62.25=35+3x

62.25-35=27.25

27.25=3x

divide both sides by 3

x=9.08 or just 9

Answer:

Tails, tail: 26

Heads: 9

Heads Tails: 26

Tails: 15

Step-by-step explanation:
(credit to the person who answered your question before me)

Have a great rest of your day
#TheWizzer

Answer:

bottom left. (arrow shaped)

Step-by-step explanation:

congruent shapes are the same size and shape

Let the original price be x.

x * (1 - 0.25) = $41.25

0.75x = $41.25

x = $41.25 / 0.75 = $55

Answer:

$55

Step-by-step explanation:

____ decrease by 25%= $41.25, which the unknown number is $55.