Use a net of the square pyramid necessary to fnd the surface area of the pyramid
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Answer:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

13/5

Decimal Form:

2.6

Mixed Number Form:

2 3/5

Step-by-step explanation:

Answer:

14degrees

Step-by-step explanation:

Given the following

Distance of ship from the tower = 200m

Height of the tower = 50m

Required

Angle of depression theta

USing the SOH CAH TOA identity

Tan theta = opposite/adj

Tan theta = 50/200

Tan theta = 1/4

theta = arctan(0.25)

theta = 14.03degrees

Hence the angle of depression is 14degrees

Answer:

i think there's zero solutions

Answer:

t = w/3-11/3

Step-by-step explanation:

w = 3t + 11

3t = w-11

t = 1/3(w-11

t = w/3-11/3

Answer:

Ok, we can define a function as a relation that maps elements from a set (the domain) into elements from another set (the range), such that each element in the domain can be mapped into only one element of the range.

2) Here you choose the autographed poster, and we know that each one of these costs $10.

So, if the artist sold x posters, then he/she would earn x times $10:

earnings =  $10*x

So we can create a function:

f(x)

such that f(x) represents the total earnings of the artist for selling x posters.

And we already know the equation for the earnings, so the function will be:

f(x) = $10*x

3) Now, it asks us if the values:

-2, -1, 0, and 1

be appropiate for the domain of the function.

Remember that x represents the number of posters that the artist sold.

Then, if we take x = -2 or x = -1 (like the first two given values) this would mean that the artist sold a negative number of posters, which has no real sense in the situation given. So we can conclude that these values should not be in the domain of the function.

For the other two cases, 0 and 1, these two can be in the domain, because these represent the case where the artist sold only one poster and the case where the artist did not sell any poster (that are two possible cases)

Answer:

(40-12)-(x·7)

Step-by-step explanation:

x is the price foreach of the 7 binders

Answer:

4

Step-by-step explanation:

Answer:

x = 0.2

Step-by-step explanation:

Distribute the 5 to (2 + x) to make it 10 + 5x = 11. You can rewrite it to make it 5x + 10 = 11 to make it easier if you want but you dont have to. Subtract the ten from both sides to make it 5x = 1. Divide both sides by 5 to get 0.2. If you want to double check your answer you can substitute 0.2 in for x in (2 + x)5 = 11 or in 5x + 10 = 11. It doesn't matter which.

Step-by-step explanation:

a) unsuitable - the precision should have been about 0.030 kg (about an ounce)

b) unsuitable - the stopwatch should have a precision of 0.001 s

c) just about right, although I wouldn't mind it if its precision is of 0.05 mm

d) unsuitable - color matching requires much finer control so I would go with 1/8 cup precision.

Answer:

b

Step-by-step explanation:

Answer:

3^3 = 27

27 * 3.14 = 84.78

84.78 * 4/3 = 113.04 is your answer.

Formula of volume of sphere is:

4/3 x π(3.14 or 22/7 whatever they tell you to use for pi) x r^3(your radius being cubed)

You get your radius by finding out what is half of your diameter or your given radius.

Answer:

Step-by-step explanation:

-(2x+1)

-2x-1

write -2 in that bos and 1 after "-"

Answer:

6 3/8 pounds (also 6.375 pounds)

Step-by-step explanation:

2 2/3 + 1 5/6 + 1 7/8 = x

8/3 + 11/6 + 15/8 = x

(multiply each fraction by to create the denominator 24)

8/3 x 8/8 = 64/24

11/6 x 4/4 = 44/24

15/8 x 3/3 = 45/24

64/24 + 44/24 = 108/24

108/24 + 45/24 = 153/24

153/24 = 6.375 = 6 3/8

Answer:

The final balance is $16,406.01.

The total compound interest is $8,406.01

Step-by-step explanation:

take the initial balance and multiply that by the interest then take 12 and multiply that times the previous answer.

To correctly prove the law of sines in a triangle the student should begin with the most basic or evident piece of information, then add related statements to it. and finish the proof with the conclusion or re-statement of the law.

A mathematical proof refers to a set of statements that logically demonstrate a law is true or the mathematical statement is valid, which means the prepositions and conclusion are valid.

The general pattern for proof is:

Note: This question is incomplete because the proof is missing; due to this I answered it based on general knowledge.

Learn more about proof in: https://brainly.com/question/2034189

Answer:

The student has

correctly

started the proof.

The next step in the proof is to

express h in terms of angle X and side z

.

Then the student should

set the expressions for h equal

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{1}{x-4}+\frac{x}{x-2}=\frac{2}{x^2-6x+8}\\\\\mathrm{Multiply\:by\:LCM=}\left(x-4\right)\left(x-2\right)\\\\\frac{1}{x-4}\left(x-4\right)\left(x-2\right)+\frac{x}{x-2}\left(x-4\right)\left(x-2\right)=\frac{2}{x^2-6x+8}\left(x-4\right)\left(x-2\right)\\\\Simplify\\\\x-2+x\left(x-4\right)=2\\\\Solve\\\\x=4,\:x=-1[/tex]

Answer:

[tex] \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{ {x}^{2} - 6x + 8} \\ \\ \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{(x - 4)(x - 2)} \\ \\ \frac{(x - 2) + x(x - 4)}{(x - 4)(x - 2)} = \frac{2}{(x - 4)(x - 2)} \\ \\ x - 2 + {x }^{2} - 4x = 2 \\ \\ {x}^{2} - 3x - 4 = 0 \\ (x - 4)(x + 1) = 0 \\ x = 4 \: \: and \: \: x = - 1[/tex]

Answer:

3e

Step-by-step explanation:

Answer:

d)

#2

#3

Diagonals are perpendicular. Side length of the rhombus:

Perimeter:

Answer:

D. 49

Step-by-step explanation:

Create a proportion where x is the number of liters of yellow paint she should use:

[tex]\frac{4}{7}[/tex] = [tex]\frac{28}{x}[/tex]

Cross multiply and solve for x:

4x = 196

x = 49

So, she should add 49 liters of yellow paint.

The correct answer is D. 49

Answer:

y = 2x + 5

Step-by-step explanation:

(-5 , -5)  & (-1 , 3)

Slope =[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

         [tex]=\frac{3-[-5]}{-1-[-5]}\\\\=\frac{3+5}{-1+5}\\\\=\frac{8}{4}\\\\= 2[/tex]

m = 2 & (-5 , -5)

Y -y1 = m(x -x1)

y - [-5] = 2(x - [-5] )

y + 5 = 2 (x + 5)

y+ 5 = 2x + 2*5

   y = 2x + 10 - 5

   y = 2x + 5

4 1/2 - 3 1/4

.= 9/2 - 13/4

= 18-13/4

= 5/4 cups

= 5/4 cups ÷ 1/4 cups

= 5/4 × 4/1

= 20/4

= 5 days

Days can Brandon feed

This represents the exterior length, width and height in that order.

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Work Shown:

The steps you have written so far are 100% correct.

From there, you multiply the interior width, length and height to get the interior volume 972. Solve for x

So,

(length)*(width)*(height) = volume

(2x-6)(x-6)(x-3) = 972

(2x-6)(x^2-9x+18) = 972

2x(x^2-9x+18)-6(x^2-9x+18) = 972

2x^3-18x^2+36x-6x^2+54x-108 = 972

2x^3-24x^2+90x-108 = 972

2x^3-24x^2+90x-108-972 = 0

2x^3-24x^2+90x-1080 = 0

2(x^3-12x^2+45x-540) = 0

x^3-12x^2+45x-540 = 0

From here, we can use the factor by grouping method

x^3-12x^2+45x-540 = 0

(x^3-12x^2)+(45x-540) = 0

x^2(x-12)+45(x-12) = 0

(x^2+45)(x-12) = 0

Setting each factor equal to 0 leads to....

So x = 12 is the only solution here.

If x = 12, then we have these exterior dimensions:

The outer dimensions are 24 ft by 12 ft by 12 ft

From that, the inner dimensions would be:

L = 24-6 = 18 ft

W = 12-6 = 6 ft

H = 12-3 = 9 ft.

Then note how L*W*H = 18*6*9 = 972 ft^3 to help confirm the answer.

Answer:

Answer:

We have:

x = t^2 + 2*t

y = -t

where:

–4 ≤ t ≤ 1

Isolating t in the "y" equation, we get:

t = -y

Now we can use the limits of t, to find similar limits for y.

When t = -4

-4 = -y

4 = y

when t = 1

1 = -y

-1 = y

Then the limits for y are:

-1 < y < 4

Now, knowing that t = -y

we can replace that in the "x" equation:

x = t^2 + 2*t

x = (-y)^2 + 2*(-y)

x = y^2 - 2*y

Then the graph of the parametric equation is the one defined by:

x = y^2 - 2*y

in the range

-1 < y < 4

The graph of this can be seen below, where the two black dots are the points where the graph should start/end.

The graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.

An approach to determine the possible graph consists in eliminating [tex]t[/tex] and simplify the resulting expression of the form [tex]f(x)[/tex]:

[tex]x = t^{2}+2\cdot t[/tex] (1)

[tex]y = -t[/tex] (2)

By (2):

[tex]t = -y[/tex]

(2) in (1):

[tex]x = (-y)^{2} + 2\cdot (-y)[/tex]

[tex]x = y^{2}-2\cdot y[/tex]

In a nutshell, the graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.

To learn more on parametric equations, we kindly invite to check this verified question: https://brainly.com/question/9056657

Answer:

The 4th answer

Step-by-step explanation:

Answer:

D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

y = x-4

Step-by-step explanation:

y = x +4

This has a slope of 1 since it is in the form y = mx+b where m is the slope and b is the y intercept

Parallel lines have the same slope

The line we are interested in passes through the point (0,-4) which means it has a y intercept of -5

y = mx+b

y = 1x-4

y = x-4