Cassidy is using six different pontominoes to make a rectangle
Which pentominoes should she use to complete her figure?
11
TL
HTL
ор.
Rovie

Step-by-step explanation:

Alina is building a roof for a dog house with the dimensions shown. She uses plywood to make the roof with the dimensions shown, but with an open bottom.

A net of a square pyramid has a square base with side lengths of 4 feet, and 4 triangular sides with heights of 3 feet.

Find the surface area of the roof.

The area of each triangular face is  

✔ 6

ft2.

The surface area of the roof is  

✔ 24

ft2.

The surface area is 24 ft² and Alina need to consider four faces while buying shingles for the roof.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Alina is building a roof for a dog house

A net of a square pyramid has a square base with side lengths of 4 feet, and 4 triangular sides with heights of 3 feet.

Find the surface area of the roof.

The surface area of each triangular face is  given by the formula

= (1/2) * base * height

= (1/2) * 4 * 3

= 6 ft²

The surface area of the roof is  

= 4 * 6

= 24 ft²

She'll need to consider 4 faces when buying shingles for roof .

To know more about Surface Area

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Answer:

x = - 2, x = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Given

(2x + 4)(3x - 2) = 0

Equate each factor to zero and solve for x

2x + 4 = 0 ( subtract 4 from both sides )

2x = - 4 ( divide both sides by 2 )

x = - 2 ← lesser x

3x - 2 = 0 ( add 2 to both sides )

3x = 2 ( divide both sides by 3 )

x = [tex]\frac{2}{3}[/tex] ← greater x

Answer:

the first one is equivalent and the second one isnt.

Step-by-step explanation:

if you break down 4x you have 4 times x which is x 4 times hence x + x + x + x.

same thing goes with 5x which would make it x+x+x+x+x not 5 + x

9514 1404 393

Answer:

  1. yes

  2. no

Step-by-step explanation:

1. We can use the distributive property to rewrite the sum.

  x + x + x + x = 1x +1x +1x +1x = (1+1+1+1)x = 4x

__

2. 5x = (x + x + x + x + x) ≠ (x + 5)

Multiplication by a factor is not the same as addition of that factor.

_____

We often use juxtaposition to indicate multiplication in algebraic expressions. That is 2x = 2·x. Of course, multiplication is a shorthand way to write repeated addition, so 2x = x + x (the value x appears 2 times in the sum).

Answer:9

Step-by-step explanation:

Answer:

I think it's either A or D

Answer:

Here we have the table:

[tex]\left[\begin{array}{ccccc}t&20&21&22&23\\\ 16t^2&\end{array}\right][/tex]

To complete the table, we just need to input the different values of t in the equation:

f(t) = 16*t^2

Then for the first value, t = 20, we get:

f(20) = 16*(20)^2 = 6,400

now we write that in the table:

[tex]\left[\begin{array}{ccccc}t&20&21&22&23\\\ 16t^2&6,400&\end{array}\right][/tex]

Now we just need to do the same for the other 3 values:

f(21) = 16*(21)^2 = 7,056

f(22) = 16*(22)^2 = 7,744

f(23) = 16*(23)^2 = 8,464

Then the completed table is:

[tex]\left[\begin{array}{ccccc}t&20&21&22&23\\\ 16t^2&6,400& 7,056&7,744&8,464\end{array}\right][/tex]

Answer: both equal 82

Step-by-step explanation: When you have parallel lines with a transversal, all the angles are either the same as the given angle or 180- the angle given. This is because they are all supplementary or equal. 1, 3, 5, and 7 are equal, 2, 4, 6, and 8 are equal. 180-98=82

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

100

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

we can find x/y by multiply 3a/b * 3a/b

x/y = 9a^2/b^2

Answer:

B

Step-by-step explanation:

Answer:

A = 533.8 square inches

Step-by-step explanation:

Use the surface area of a cylinder formula (A=2πrh+2πr^2)

Plug in 12 for h and 5 for r

Use 3.14 in replace for π

A = 2(3.14)(5)(12) + 2(3.14)(5)^2

A = 533.8 in^2

Step-by-step explanation:

55 square inches tall is the average cost of a house in the morning po everything is the same as

Answer:

49

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Two cooies plus two cookies is four cookies.

Answer:

356 cm.

Step-by-step explanation:

Whenever you find the surface area of a rectangular prism, remember this mnemonic:

LISA WILSON LOST HER WITCH HAT TWICE.

(TWICE) 2 (LENGTH × WIDTH + LENGTH × HEIGHT + WIDTH × HEIGHT)

In this rectangular prism, the length is 8, the width is 14, and the height is 3 (the order of numbers in length, width, and height does not matter).

Now, we can just plug in the numbers.

LENGTH × WIDTH + LENGTH × HEIGHT + WIDTH × HEIGHT

[tex]2(8*14+8*3+14*3) = 356.[/tex]

Therefore, the surface area of this rectangular prism is 356 centimeters.

multiplication

hope this helped <3

Answer:

91.72% likely that the soil sample contains organic matter.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We have that:

Of 700 samples that contain organic matter, 665 give a positive result and 700 - 665 = 35 give a negative result.

Of 300 samples that do not contain organic matter, 300 - 240 = 60 give a positive result and 240 give a negative result.

If a soil sample test gives a positive result, it is ___% likely that the soil sample contains organic matter.

665 with organic matter out of 665 + 60 = 725 positive tests.

665/725 = 0.9172

0.9172*100% = 91.72%.

91.72% likely that the soil sample contains organic matter.

Answer:

-30

Hope this helps!

9514 1404 393

Answer:

  m = 8

  n = 4√3

Step-by-step explanation:

The right triangles in this figure are all similar, so the ratios of hypotenuse to short side are the same.

  (12+4)/m = m/4

  64 = m² . . . . multiply by 4m

  8 = m . . . . . . square root

__

Likewise, the ratio of long side to short side is the same.

  12/n = n/4

  48 = n² . . . . . . multiply by 4n

  4√3 = n . . . . . take the square root

_____

Additional comment

You may have noticed that the ratios of side lengths are ...

  4 : n : m = 4 : 4√3 : 8 = 1 : √3 : 2 . . . . . side lengths of a 30°-60°-90° triangle

This means the unmarked side is 8√3.

__

We supplied all of the missing lengths because we know this problem is likely to be presented in different forms, asking for values other than m.

Answer:

Step-by-step explanation:

Answer:

first one is c and second one is acute

Step-by-step explanation:

acute angle which is 45

Answer:

Q.11 x=11

Q.12 complementary angles

Q.10 142 degrees

Answer:

[tex]\=x=2.1[/tex]

[tex]\sigma=2.03[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size[tex]n=100[/tex]

Probability of  a defective widget [tex]P=0.021[/tex]

Generally the equation for binomial trial is mathematically given by

 [tex]q=1-p[/tex]

 [tex]q=1-0.021[/tex]

 [tex]q=0.979[/tex]

Since X is binomial random variable with functions of n and p,The equation of mean \=x

 [tex]\=x=E(x)[/tex]

  Where

  [tex]E(x=n*p)[/tex]

 [tex]\=x=100*0.021[/tex]

 [tex]\=x=2.1[/tex]

Generally the equation for variance \sigma is mathematically given by

 [tex]\sigma=\sqrt{nqp}[/tex]

 [tex]\sigma=\sqrt{200*0.021*0.979}[/tex]

 [tex]\sigma=2.03[/tex]

Answer:

Where is the equation for the problem?

Answer:

1/2^7

Step-by-step explanation:

Answer:

1/2^7

Step-by-step explanation:

Answer: 14 units

Step-by-step explanation:

Answer:

D. function 1 has a greater rate of change because the slope of function 1 is 3 and the slope of function 2 is -4

Answer:

D. function 1 has a greater rate of change because the slope of function 1 is 3 and the slope of function 2 is -4

Answer:

3

Step-by-step explanation:

So, the little arow underneath lim that says x>1, this means that the qiuestion is asking:

What is the limit when x gets to 1?

We can use the quadratic they give us to solve this. Now, if you are doing this, you should know how to make a quadratic equation. So instead of making this long and tedious for you, I will use a graphing calculator.

So lets look at the graph below, specificly where x=1

as x reaches 1, what does the y coordinates look to be about? 3.

So we can conclude that the answer is that when x→1, y=3

I hope this helps!

Answer:

The answers go in the following order:

25

8

33.6

27

68.4

Answer:

b=4*25‐9*2

=100‐18

=82