What is the surface area of the square pyramid?

Answer:

tan β = [tex]\frac{7}{24}[/tex]

Step-by-step explanation:

Using the identities

sin x = [tex]\frac{1}{cscx}[/tex] , cos x = [tex]\frac{1}{secx}[/tex] , tan x = [tex]\frac{sinx}{cosx}[/tex] , then

sinβ = [tex]\frac{1}{\frac{25}{7} }[/tex] = [tex]\frac{7}{25}[/tex]

cos β = [tex]\frac{1}{\frac{25}{24} }[/tex] = [tex]\frac{24}{25}[/tex]

Then

tan β = [tex]\frac{\frac{7}{25} }{\frac{24}{25} }[/tex] = [tex]\frac{7}{25}[/tex] × [tex]\frac{25}{24}[/tex] = [tex]\frac{7}{24}[/tex]

Answer:

tanβ = 7/24

Step-by-step explanation:

Given:

cscβ = 25/7

secβ = 25/24

tanβ = ?

Recall:

cscβ = 1/sinβ

secβ = 1/cosβ

tanβ = sinβ/cosβ

Rewrite and simplify:

tanβ = sinβ/cosβ

tanβ = (1/cscβ)/(1/secβ)

tanβ = (1/(25/7))/(1/(25/24))

tanβ = (7/25)/(24/25)

tanβ = (7/25)(25/24)

tanβ = (7*25)/(25*24)

tanβ = 175/600

tanβ = 35/120

tanβ = 7/24

Answer: 56.88 L

Explanation:

Let L represents number of liters

A Car uses 32 L of gas to travel 450 km.

Write a proportion for the problem using rates.

450/32 = 800/L

Cross product is 450*L = 800*32

450L = 25600

Divide each side by 450.

450L/450 = 25600/450

L = 56.88

Answer:

10cm ( A )

Step-by-step explanation:

This would use the Pythagorean Theorem. That means it would be -

a^2_b^2= c^2, in this case, you have 2 of your legs already so those two values would be a&b. you would stick those two into the equation and it should look like this:

6^2+8^2=c^2

then 36+64=c

and then 100=c

after that, you would take the square root of c to get

10!

Answer:

10cm

Step-by-step explanation:

[tex]Hypotenuse^{2}[/tex] = [tex]base^{2} + altitude^{2}[/tex]

The hypotenuse can be taken as 'x'. As given in the question, the length of base is 8cm and the altitude is 6cm. So substituting these in the equation, we get:-

[tex]Hypotenuse^{2}[/tex]  = [tex]8^{2} + 6^{2}[/tex]

[tex]Hypotenuse^{2}[/tex] = 64 + 36

[tex]Hypotenuse^{2}[/tex]  = 100

Hypotenuse = [tex]\sqrt{100}[/tex]

Hypotenuse equals 10cm!

Answer:

=9¹⁴x

Step-by-step explanation:

Answer:

1 : 8

Step-by-step explanation:

Given the height of 2 similar cylinders = a : b , then

ratio of volumes = a³ : b³

Here the ratio of heights = 1 : 2

ratio of volumes = 1³ : 2³ = 1 : 8

Answer:

157.07963

Step-by-step explanation:

2πr²

2π(5)²

2π(25)

50π

157.07963

Answer: lma0

Step-by-step explanation:

Answer:

45 even tho my mine broke xD

have a good day :)

Step-by-step explanation:

Answer:

=-4/5

Step-by-step explanation:

To find the slope, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -2 -6)/(4 - -6)

   = (-2-6)/( 4+6)

   = -8/10

  =-4/5

Answer:

Cos <B = 3/5

Step-by-step explanation:

Find the diagram attached

From the diagram, we have;

Hypotenuse BC = 80

Opposite to <B = AC =64

Adjacent AB = 48

According to SOH CAH TOA identity

Cos theta = adjacent/hypotenuse

Cos<B = AB/BC

Cos <B = 48/80

Express in its simplest form

Cos <B = (16*3)/(16*5)

Cos <B = 3/5

Hence the ratio of cos<B in its simplest form is 3/5

Answer:

your answer should be  -11.5

Step-by-step explanation:

all you do is divide 10/5 which will give you 2 then you do -9.5-2 which gives you -11.5

Answer:

subtracting one from three

Answer:

subtracting 1 from 3

use BEDMAS for order of operation

brackets, exponents division, multiplication, addition, subtraction

all of em from left to right order

Here we have 2 brackets, so you choose the bracket inside bracket, cause that's how it is.

Hope that answers your question

Don't hesitate to comment if you are confused about something

Step-by-step explanation:

Answer:

10.3699136~10

Step-by-step explanation:

First i found the area of the triangle, .5(10*7)=35

And the area of a circle formula is pi*r^2 so...

35-(pi*2.8^2)=35-24.6300864=10.3699136

:) hope that's right

Answer: [tex]84\ \text{units}[/tex]

Step-by-step explanation:

Given

The length of each cube is [tex]a=14\ \text{units}[/tex]

If there are 6 cubes placed over each other, then the height achieved by the cubes is

[tex]\Rightarrow 6\times 14\\\Rightarrow 84\ \text{units}[/tex]

Ok, this is a bit tricky, it might be A or D.

A. Because 'you can go to the movies if you do your homeowork.)

B. Because it just flips things aroudn but it's still correct.

I would think the best choice would be A.

If this helps, please mark me Brainliest!

Have a fabulous day!

Answer:

201.06

Step-by-step explanation:

pi × 8²

The probability that the arrow will land on 1 or 2 is 2/5.

Probability is the ratio of occurring a certain event out of the total possible events.

If the given statement contains OR we use addition and if the given statement contains AND we use multiplication.

From the given data

Total no. of regions in the circle is 5

The probability that the arrow will land on 1 or 2 is

P(1) = 1/5

P(2) = 1/5

∴ P(1) or P(2) is

= 1/5 + 1/5

= 2/5

Here we have used addition because of OR statement.

Learn more about Probability :

https://brainly.com/question/11234923

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Answer:

x   y

0  .75

3  3.75

9  9.75

Step-by-step explanation:

You add .75 to whatever number x equals, to get y.

Hope that this helps!

The system of equations that represents the number of each type of basket Jake scored is given by:

x + y = 13

2x + 3y = 28

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Jake scored 28 points in his basketball game by shooting only two-point and three-point shots, hence:

2x + 3y = 28.

He scored a total of 13 baskets, hence:

x + y = 13.

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

Step-by-step explanation:

:P  nice points ty :)

find the length of the long diagonal across the tank.  

first find the 2D  diagonal , then use that dist. to find the long 3D diagonal

[tex]C^{2}[/tex] = [tex]3^{2}[/tex]+[tex]4^{2}[/tex]

C = 5    (2D)

now find the 3D

[tex]C^{2}[/tex] = [tex]5^{2}[/tex]+[tex]12^{2}[/tex]

C = 13  inches

( they made it easy ) :)

Answer:

A

Step-by-step explanation:

The third pair of cleats shows the marginal cost is [tex]\$1[/tex]. Thus option (C) is the correct answer.

"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things".

For the given situation,

The graph is plotted between the production of pair of cleats to the marginal cost.

The first pair of cleats shows the marginal cost is from [tex]\$2[/tex] to [tex]\$7[/tex].

The second pair of cleats shows the marginal cost is from [tex]\$2[/tex] to [tex]\$1[/tex].

The third pair of cleats shows the marginal cost is [tex]\$1[/tex].

The fourth pair of cleats shows the marginal cost is from [tex]\$4[/tex] to [tex]\$6[/tex].

Hence from the given data, the third pair of cleats shows the marginal cost is [tex]\$1[/tex]. Thus option (C) is the correct answer.

Learn more about graphs here

https://brainly.com/question/1282449

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Answer:

32 feet

Step-by-step explanation:

The equation would be 12 - (-20)

                                       12 + 20 = 32

Answer:

1331 cubic inches

Step-by-step explanation:

volume = 11×11×11 = 1,331 in³

Answer:

yes because since they are new they are all going to have a different opinion on the school than other teachers thats been there for years

hope this helps

have a good day :)

Step-by-step explanation:

Yes, it would likely be biased because they might be like an advertisement since they weren't teaching for years at this school.

If this helps, please mark me brainliest!

Have an amazing day!

Answer:

A B D

Step-by-step explanation:

those are the answers

But a closer look shows that B will be the best answer.

Answer:

Since all the rhombus is parallelogram

some are trapezoid and quadrilateral.

So

B.parallelogram is a answer:

it opposite side are equal.

diagonal bisect angle equally.

.

Answer:

The first aid station is at the middle of the park.

Step-by-step explanation:

Given

[tex](0,0) \to[/tex] Origin of Fun

[tex](-7, 6) \to[/tex] Quadratics in Motion

[tex](-2, 14) \to[/tex]Towers of Trigonometry

[tex](5,8) \to[/tex] The Food Equation

[tex](-1,7)\to[/tex] First aid station

Solving (a): Plot the above points

See attachment for plot

Solving (b): Determine if the first aid station is at the center of the park

From the plot, we have the opposite points to be:

(1) [tex](0,0)[/tex] and  [tex](-2, 14)[/tex]

(2) [tex](5,8)[/tex]  and [tex](-7, 6)[/tex]

Calculate midpoint using:

[tex]M = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]

For (1):

[tex]M = \frac{1}{2}(0 -2, 0 + 14)[/tex]

[tex]M = \frac{1}{2}(-2,14)[/tex]

[tex]M = (-1,7)[/tex]

For (2):

[tex]M = \frac{1}{2}(5 -7, 8 + 6)[/tex]

[tex]M = \frac{1}{2}(-2,14)[/tex]

[tex]M = (-1,7)[/tex]

From the above computation, we have midpoint to be:

[tex]M = (-1,7)[/tex]

Given that:

[tex](-1,7)\to[/tex] First aid station

We can conclude that the first aid station is at the middle of the park.

Answer:

7.3

Step-by-step explanation: