OABCD is a pyramid with a rectangular base of sides 15cm by 9cm.Given that the slant height OQ is 16cm find its
i)height
ii)volume​

Answer:

parallelogram, rectangle, rhombus

Step-by-step explanation:

Answer:

heyooo i am here to clarify the answer is {parallelogram, rectangle and rhombus}

Step-by-step explanation:

in short, the answer is

A.

C.

D.

i hope you do good on your test !!

-cookie <3

Step-by-step explanation:

Taking LHS of the identity:

(a + b +c)2

This can also be written as:

= (a + b + c) (a + b + c)

Multiply as we do multiplication of trinomials and we get:

= a(a + b + c) + b(a + b + c) + c(a + b + c)

= a2 + ab + ac + ab + b2 + bc + ac + bc + c2

Rearrange the terms and we get:

= a2 + b2 + c2 + ab + ab + bc + bc + ac + ac

Add like terms and we get:

= a2 + b2+ c2 + 2ab + 2bc + 2ca

Hence, in this way we obtain the identity i.e. (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

Answer:

Amount of dirt needed to fill the cone = 28.28 in³ (Approx)

Step-by-step explanation:

Given:

Diameter = 6 in

Radius (r) = 6 / 2 = 3 in

Height (h) = 3 in

Find:

Amount of dirt needed to fill the cone

Computation:

Volume of cone = (1/3)πr²h

Volume of cone = (1/3)(22/7)(3)(3)(3)

Volume of cone = 28.28 in³

Amount of dirt needed to fill the cone = 28.28 in³ (Approx)

Answer:

95

Step-by-step explanation:

Answer:

$3.58

Step-by-step explanation:

Since the cost is increasing, you need to add the two values together.

$3.49 + $0.09 = $3.58

The price of gasoline after the increase is $3.58.

Answer:

18

Step-by-step explanation:

The triangle on the left is a 30-60-90 triangle.

The ratio of the lengths of the sides is:

short leg  :   long leg   :    hypotenuse

    1           :     √3         :            2

The short leg of the left triangle is half the hypotenuse.

12√6 / 2 = 6√6

The long leg of the left triangle measures √3 times the short leg.

6√6 * √3

The triangle on the right is a 45-45-90 triangle.

The ratio of the lengths of the sides is:

short leg  :   long leg   :    hypotenuse

    1           :         1         :            √2

The length of the leg is the length of the hypotenuse divided by √2.

6√6 * √3 / √2 = 18

Answer:

For domain,

9-x2>=0

or,(x+3)(x-3)<=0

using wavy curve method,we get

Domain=[-3,3]

As domain matches only in first option,so the correct option is option first

Answer:

Step-by-step explanation:

Using the formula for calculating the length of an arc to get the angle of Maple Street to Elm Street;

Length of an arc = θ/360 * 2Πr  where r is the radius of the circle.

Given r = 10m and length of the arc = 15m

On substituting;

15 =  θ/360 * 2π(10)

15 = θ/360 * 20π

θ/360 = 15/20π

θ/360  = 0.2387

θ = 360* 0.2387

θ = 85.9°

Hence Maple street is at 85.9° to Elm street.

Answer:

[tex]\approx \bold{85.98^\circ}[/tex]

Step-by-step explanation:

Given that

Radius of circle = 10 metres

Bryan drives 15 metres around the circle.

To find:

The angle of Maple street to Elm street = ?

Solution:

Kindly refer to the image attached.

The Elm street meets the circle at A.

Maple street at B.

Given that arc length AB = 15m

Radius of circle = 10 m

We have to find the angle of arc.

Let us use the formula:

[tex]\theta = \dfrac{l}{r}\\\Rightarrow \theta = \dfrac{15}{10} \\\Rightarrow \bold{\theta = 1.5\ radians}[/tex]

Converting to degrees:

[tex]\pi\ rad = 180^\circ\\1.5\ rad = \dfrac{180}{\pi} \times 1.5^\circ\\\theta \approx \bold{85.98^\circ}[/tex]

Answer:

4260

Step-by-step explanation:

Answer:

4260

Step-by-step explanation:

Answer:

  D)  3.57%

Step-by-step explanation:

The percentage change is given by ...

  percent change = ((new value) -(old value))/(old value) × 100%

  = (3.19 -3.08)/3.08 × 100% = 0.11/3.08 × 100% = (11/3.08)% ≈ 3.57%

__

When dealing with percentages, you need to be clear about what number represents 100%, the reference value against which errors or changes are measured. Here, it is the π of the mug, 3.08.

Answer: 12464 feet

Step-by-step explanation:

Given: The deepest point of Lake Titicaca in South America is -922 feet relative to its surface.

We use absolute function, then the deepest point of Lake Titicaca in South America is |-922|=922 feet.

The deepest point is 11,542 feet above sea level.

That means, the elevation of the surface of the lake is the sum of 922 feet and  11,542 feet which is given by (922+ 11,542) feet =12464 feet

Hence, the elevation of the surface of the lake = 12464 feet

Answer:

y=2

because 4x2 =8 then 8-4 equals to 4 which is what your trying to get

Answer:

B

Step-by-step explanation:

Hi!

3(5x+4)−20=13x−4                            

15x+12-20=13x-4                                         Distribute the 3 to the 5x and 4

15x-8=13x-4

2x-8=-4                                                        Subtract 13x from both sides

2x=4                                                             Add 8 to both sides

x=2                                                               Divide both sides by 2

So 2 is the answer :)

Answer:

[tex]\large \boxed{\mathrm{see \ below}}[/tex]

Step-by-step explanation:

13 upon 5 is 13/5

13/5 in decimal form is 2.6

11 upon 6 is 11/6

11/6 in decimal form is 1.833333...

17 upon 8 is 17/8

17/8 in decimal form is 2.125

Step-by-step explanation:

let the point A( - 1 , -3 ) and B( 5 , -2 )

here, x1 = -1; x2 = 5

y1 = -3; y2 = - 2

Now, the distance between A and B

[tex]AB = \sqrt{(x _{1} - {x}_{2} ) {}^{2} + (y _{1} - y _{2}) {}^{2} } [/tex]

[tex]AB = \sqrt{( - 1 - 5) {}^{2} + ( - 3 ( - 2) {}^{2} }[/tex]

[tex]AB = \sqrt{36 + 1} = \sqrt{37} [/tex]

Thus, The Distance between AB is

[tex] \sqrt{37} [/tex]

Answer:

2 and -9

Step-by-step explanation:

Answer:

Yes, 50 square root plus 2 square root irrational

[tex] 6\sqrt{2}[/tex]

Step-by-step explanation:

[tex] \sqrt{50} + \sqrt 2[/tex]

[tex]= \sqrt{25\times 2} + \sqrt 2[/tex]

[tex]= 5\sqrt{2} + \sqrt 2[/tex]

[tex]= 6\sqrt{2}[/tex]

Since, [tex]\sqrt{2}[/tex] is irrational.

Therefore, [tex] \sqrt{50} + \sqrt 2[/tex] is also irrational and

[tex] \sqrt{50} + \sqrt 2=6\sqrt{2}[/tex]

Your question has been heard loud and clear/

we know,

4cos³x = 3cosx + cos3x

put here, x = 20°

then, 4cos³20° = 3cos20° + cos3 × 20°

= 3cos20° + cos60°

cos³20° = (3cos20° + cos60°)/4 -------(1)

similarly ,

4sin³x = 3sinx - sin3x

put here, x = 10°

4sin³10° = 3sin10° - sin30°

sin³10° = (3sin10° - sin30°)/4 -----------(2)

now,

LHS = cos³20° + sin³10°

put equations (1) and (2)

= 1/4(3cos20° + cos60°) + 1/4 ( 3sin10° - sin30°)

= 1/4( 3cos20° + cos60° + 3sin10° - sin30°)

we know,

cos60° = sin30° = 1/2

= 1/4 ( 3cos20° + 3sin10°)

= 3/4(cos20° + sin10°) = RHS

hence proved

Thank you

Answer:  see proof below

Step-by-step explanation:

Use the following identities & Unit Circle calculations:

 4cos³x = 3cos x + cos 3x

--> cos³x = (1/4)[3cos x + cos 3x]

 4sin³x = 3sin x - sin 3x

--> sin³x = (1/4)[3sin x - sin 3x]

cos 60° = sin 30° = (1/2)

Proof: LHS → RHS

Given:                          cos³ 20° + sin³ 10°

Triple Angle Identity: (1/4)[3cos 20° + cos 3·20°] + (1/4)[3sin 10° - sin 3·10°]

Simplify:                      (1/4)[3cos 20° + cos 60° + 3sin 10° - sin 30°]

                                   (1/4)[3cos 20° + (1/2) + 3sin 10° - (1/2)]

                                   (1/4)[3cos 20° + 3sin 10°]

Factor:                         (3/4)[cos 20° + sin 10°]        

Proven:  (3/4)[cos 20° + sin 10°]  = (3/4)[cos 20° + sin 10°]    [tex]\checkmark[/tex]

[tex]A=a\cdot b\cdot \sin\angle AB\\\\A=5\cdot8\cdot\sin63^\circ\\\\A=40\cdot0.891\\\\\boxed{A=35.64}[/tex]

Answer:

[tex]\huge \boxed{\mathrm{35.64 \ units^2 }}[/tex]

Step-by-step explanation:

The adjacent side lengths and an angle is given.

We need to find the height of the parallelogram.

A small right triangle is formed with an angle of 63 degrees and an hypotenuse of 5 units.

We can use trigonometric functions to solve for the height.

sin θ = opp/hyp

sin 63 = h/5

Multiplying both sides by 5.

h = 5 sin 63

h ≈ 4.45503262

Area of parallelogram = base × height

A = 8 × 4.45503262

A = 35.640261

Answer:

600 feet

Step-by-step explanation:

60 feet per minute

m = minute

60m

60(10)

600 feet

Answer: Distributive Property

Step-by-step explanation:

[tex]-2\bigg(\dfrac{3}{4}x+7\bigg)\\\\\\\text{DISTRIBUTE -2 to both terms:}\\-2\bigg(\dfrac{3}{4}x\bigg)+(-2)7\\\\\\\text{Simplify:}\\-\dfrac{3}{2}x-14[/tex]

When Lisa flips 2 fair coins, the probability of obtaining two tails is 1/4.

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Given that,

Number of coins flips by Lisa = 2,

To find the probability of obtaining two tales,

The sample pace of flipping two coins = {(H, H), (H, T), (T, H), (T, T)}

The tale on both coins can come one time.

So the probability = number of favorable outcome / total observation

                              = 1 / 4

The required probability of obtaining two tails is 1 /4.

To know more about Probability on:

https://brainly.com/question/12478394

#SPJ3

Essentially any like term is a variable with the same letter at the end or the same letter and power.

In this equation, we are given:

They are all different, so there are 3 different terms in the equation

Best of Luck!

Step-by-step explanation:

1. 6 factors of 2 means, 2 multiplied by itself 6 times.  It can be written in the form of exponents as 2⁶.

2. [tex]2^m{\cdot} 2^n[/tex]

The law of exponent is : [tex]x^a{\cdot} x^b=x^{a+b}[/tex]

So,

[tex]2^m{\cdot} 2^n=2^{m+n}[/tex]

The correct option is (A).

3. If the power of any number is 0, then the value of that number is equal to 1.

So,

[tex]23^0=1[/tex]

Hence, this is the required solution.

1st set = 4 letters

2nd set = 4x 4 = 16 letters

3rd set = 16 x 4 = 64 letters

4th set = 64 x 4 = 256 letters

5th set = 256 x 4 = 1,024 letters

6th set =1024 x 4 = 4,096 letters

7th set = 4096 x 4 = 16,384 letters

8th set = 16,384 x 4 = 65,536 letters

Each letter cost 2

Total cost = 65,536 x 2 = 131,072

Answer:

B. -1

Step-by-step explanation:

examples:

1 and -1

1/2 and -2

Answer:

B=-1

Step-by-step explanation:

diagonals are perpendicular line, the slope of perpendicular line are opposite reciprocal.

example if the slope line AC =3

the slope of BD=-1/3

-1/3*3=-1

Answer: x^2+4x+3

Step-by-step explanation:

f(g(x)) >>> replace the g(x) with the given information

f(x+2) >>> replace every (x) in the given f(x) with (x+2)

(x+2)^2-1 >>> foil it out

x^2+4x+4-1 >>> simplify

x^2+4x+3 >>> ANSWER!! :)

Answer:

64

Step-by-step explanation:

56/7 = 8

8*8 = 64

64 tests

Step-by-step explanation:

-5x - 5y + 4x - (2y + 3)

= - 5x + 4x - 5y - (2y + 3)

= - x - 5y - 2y - 3

= - x - 7y - 3 ( Answer )

Answer:

-x-7y-3

Step-by-step explanation:

distribute parentheses:

-(2y)-(3)= -2y-3

= -5x-5y+4x-2y-3

simplify

group like terms= -5x+4x-5y-2y-3

add similar elements= -x-5y-2y-3

add similar elements= -x-7y-3

Therefore, simplest expression is -x-7y-3

I hope this helps!!!