Can someone please help me with this :(

A solid right prism ABCDEF  has a height of 16.  A part of the prism is sliced off with a straight cut through points  X, Y, and Z. CXYZ is a  triangular pyramid and its surface area is 48 + 9√3 + 3√91  or 92.2

The situation can be depicted in the attached picture. CXYZ is a triangular pyramid.

The surface area of CXYZ is equal to:

area CXYZ = area ΔCXY +  area ΔCYZ +  area ΔCXZ + area ΔXYZ

ΔABC and ΔCXY are congruent, hence ΔCXY is a equilateral triangles with its sides are 1/2 those of ΔABC.

CX = CY = XY = 1/2 x 12 = 6

To find the area of ΔCXY, find its height first.

√3/2 = h/6

h = 3√3

Area ΔCXY = 1/2 x 3√3 x 6 = 9√3

ΔCXZ is a right triangle at C. Hence,

Area ΔCXZ =  1/2 x CX x CZ

                   = 1/2 x 6 x 8 = 24

ΔCYZ = ΔCXZ

Hence,

Area ΔCYZ =  24

To find the area of ΔXYZ, find XZ first using the Pythagorean Theorem.

XZ² = CX² + XZ²   (XZ = 8, since Z is midpoint of CD)

XZ² =  6² + 8²

XZ² = 10²

XZ = 10

Find the height of ΔXYZ

h = √(10² - 3² )

h = √91

Therefore,

Area ΔXYZ = 1/2 x XY x h

                   = 1/2 x 6 x √91 =3√91

Finally,

area CXYZ = area ΔCXY +  area ΔCYZ +  area ΔCXZ + area ΔXYZ

                  = 9√3 + 24 + 24 + 3√91

                  = 48 + 9√3 + 3√91

                  = 92.2

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Answer:

[tex]{\boxed{\boxed{\tt { TYSM!!}}}} \ [/tex]

Answer:

Step-by-step explanation: hi

Answer:

0x = -7

Step-by-step explanation:

-5x+5x = 4-9-2

0x = -7

Answer:

Step-by-step explanation:

a.Scale factor = distance on the plot / actual distance

b.3 feet = 12 inchs.

so scale factor = 5/12

Answer:

c

Step-by-step explanation:

Answer:

8.2 × 10⁻³

Step-by-step explanation:

1.64 × 10⁰      1.64 × 1         1.64

-------------- = -------------- = ---------- = 0.0082

2.0 × 10²        2 × 100        200

Scientific notation: 8.2 × 10⁻³

I hope this helps!

Answer:

75

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

answer:

5x-5

step-by-step explanation:

from the question, it can be determined that karen makes 4x-5 (x representing the amount of free throws made by kimi). since the question is asking you to find the total or sum of their free throws, you add 4x-5 and x to get the answer above. hope that helps!

Answer:

y = x - 2

Step-by-step explanation:

Here m is the slope and b is the y-intercept.

Choose any two points on the line.            

 (2,0)  ; (0,-2)

Now, find the slope.

        [tex]\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

                   [tex]= \dfrac{-2 - 0}{0 - 2}\\\\=\dfrac{-2}{-2}\\\\= +1[/tex]

m = 1.

Now, y = 1x +  b

The (2 , 0) passes through the line. Substitute x = 2 and y = 0 in the above equation and find the value of 'b'.

       0 = 1*2 + b

       0 =  2 + b

        -2 = b

Equation of line:

              y = x - 2

i don't know the answer to this question, but i can give you an example that way you can find your own answer!

possible answers for the example question:

65∘

115∘

35∘

75∘

85∘

To find the measure of angle DAC, we must know that the interior angles of all triangles sum up to 180 degrees. Also, as this is an isosceles trapezoid, ∠ADC and ∠BCD are equal to each other. The two diagonals within the trapezoid bisect angles ∠ADC and ∠BCD at the same angle.

Thus, ∠ACD must also be equal to 50 degrees.

Thus, ∠ADC=50+15=65.

Now that we know two angles out of the three in the triangle on the left, we can subtract them from 180 degrees to find ∠DAC:

180−65−50=65

the correct answer for the example question is 65 degrees

Answer: 15 Combinations

Step-by-step explanation: 5x3=15

Answer: False i think

Step-by-step explanation:

Answer:

13.26cm^2

Step-by-step explanation:

Answer:

Enlargment and 5/4

Step-by-step explanation:

The equations are;

a) y = -7/2x - 13

b) -2/7x - 46/7

We know that the equation of the line that we have here can be written in the general form as the equation that is given as; y = mx + c

We have that

m = slope of the line

c = intercept of the line

As such, we have;

-7x-2y=6 or y = 6 + 7x/-2

or

y = -3 - 7x/2

For the parallel line m = - 7/2

y - (-6) = -7/2(x - (-2))

y + 6 = -7/2x - 7

y = -7/2x - 13

For the perpendicular line m = - 2/7

y - (-6) = -2/7(x - (-2))

y + 6 = -2/7x - 4/7

y = -2/7x - 46/7

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Answer:

x = 13

Step-by-step explanation:

There is more than one 98-degree angle since they are all corresponding interior angles.

The supplementary angle to the 98-degree angle next to the triangle is:
180 - 98 = 82 degrees

In addition, another angle inside the triangle is an 85-degree angle. This is because this 85-degree angle is opposite adjacent to the other 85-degree angle.

Hence, the angles inside the triangle are: x, 85, and 82

x + 85 + 82 = 180 ==> Triangles add up to 180 degrees

x + 167 = 180  ==> simplify

x = 13 degrees ==> subtract 167 on both sides

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When selecting four coins from a jar containing quarters, loonies, and toonies, there are a total of 27 unique combinations.

This can be calculated by using the formula for combination, which is nCr.

In this case,

n is the total number of coins in the jar (3) and

r is the number of coins selected (4).

Therefore, 3/(4(3-4)) = 3/0 = 3/1 = 3,

which is the number of possible combinations in the jar for the quarters, loonies, and toonies. When you multiply 3 by 3, you get 9, and when you multiply 9 by 3 again, you get 27.

Therefore, there are 27 unique coin combinations when selecting four coins from the jar.

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Answer:

Box - and - whisker and scatter plots

Step-by-step explanation:

A scatter plot or scatter gram chart can highlight the distribution patterns or demonstrate and compare the two data sets.

Dots are used to indicate values for two separate numeric variables in a scatter plot . The values for each data point are shown by the position of each dot on the horizontal and vertical axes.

Scatter plot shows the relationships between variables are visualized using scatter plots.

From the given data, it is observed that the given data is observed in the scatter plot.

The given data can highlight the distribution patterns or demonstrate and compare the two data sets.

Hence, a scatter plot or scatter gram chart can highlight the distribution patterns or demonstrate and compare the two data sets.

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Answer:

1.) The 1ˢᵗ three term is (-32), (-7) and 18

2.) The 1ˢᵗ three term is 127, 106 and 85

Step-by-step explanation:

Here,

First Term = a₁ = - 32

Common Difference = (d) = 25

Now, For 1ˢᵗ three term,

n = 1

a₁ = - 32

n = 2

aₙ = a + (n - 1)d

a₂ = (-32) + (2 - 1) × 25

a₂ = (-32) + 1 × 25

a₂ = (-32) + 25

a₂ = -7

n = 3

aₙ = a + (n - 1)d

a₃ = (-32) + (3 - 1) × 25

a₃ = (-32) + 2 × 25

a₃ = (-32) + 50

a₃ = 18

Thus, The 1ˢᵗ three term is (-32), (-7) and 18

Here,

First Term = a₁ = 127

Common Difference = (d) = -21

Now, For 1ˢᵗ three term,

n = 1

a₁ = 127

n = 2

aₙ = a + (n - 1)d

a₂ = 127 + (2 - 1) × (-21)

a₂ = 127 + 1 × (-21)

a₂ = 127 - 21

a₂ = 106

n = 3

aₙ = a + (n - 1)d

a₃ = 127 + (3 - 1) × (-21)

a₃ = 127 + 2 × (-21)

a₃ = 127 - 42

a₃ = 85

Thus, The 1ˢᵗ three term is 127, 106 and 85

-TheUnknownScientist

The block weighed 8 grams. The other two blocks average have weighed the same amount as the first block, so they also weighed 8 grams each.

1. Joe has three metal blocks.

2. The weight of each block is the same.

3. Joe weighed one of the blocks against 8 grams.

4. The block weighed 8 grams.

5. The other two blocks must have weighed the same amount as the first block, so they also weighed 8 grams each.

Joe had three metal blocks that all weighed the same. He weighed one of the blocks against 8 grams, and it weighed exactly 8 grams. This meant that the other two blocks must also have weighed 8 grams each, since the weight of all three was the same. Joe was able to determine the weight of all three blocks with just one measurement.

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Answer:

[tex]i \: think \: no \:{{b}}[/tex]

B IS YIHR ANSWER

I HOPE IT HELPS

HAVE A NICE DAY

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The value of polynomial p(x) when x=0 is 35.

What is a polynomial?

An expression made up of indeterminates and coefficients and utilising solely the operations of addition, subtraction, multiplication, and positive-integer powers of variables is referred to as a polynomial.

The complete question is as follows:

Suppose p(x) is a polynomial of smallest possible degree such that: bullet p(x) has rational coefficients bullet p(-3) = p(\sqrt 7) = p(1-\sqrt 6) = 0 bullet p(-1) = 8 determine the value of p(0).

Given,

p(x) is a polynomial of smallest degree where

    p(-3) = p(√7) = p( 1-√6) = 0

     p(-1) = 8

 So the factors of p are (x+3),(x-√7) and (x - 1+√6)

Given p has rational coeffecients. So we should remove √7 and √6. This can be done by multiplying with conjugates.

(x-√7)*(x+√7) = x²-7

(x-1+√6) * (x-1-√6) = (x-1)² - √6² = x²-2x+1-6 = x²-2x-5  

Now the polynomial can be written as

p(x) = c (x+3)(x²-7) (x²-2x-5 )

Here c is a constant and can be determined using p(-1) = 8

p(-1) = c ( -1+3)(-1² - 7 )(-1²-2*(-1) -5)

8 = c(2)(-6)(-2)

c = 1/3

Now the polynomial p(x) = 1/3(x+3)(x²-7) (x²-2x-5 )

Therefore p(0) = 1/3 (3) (-7)(-5) = 35

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Answer:

54 is the correct answer

Answer:

1520.53

Step-by-step explanation:

Formula for figuring out volume is

Pi*r^2*height=volume

3.14*5.5^2*16

1520.53

Hope this helps :)

Answer:

= 6√30 or Decimal: 32.863353

Answer:

probably 510, not sure but you can try!

Step-by-step explanation:

Answer:

221 bagels.

Step-by-step explanation:

170 bagels are made in 10 hours.

So, Number of bagels baked in 1 hour = [tex]\frac{170}{10}[/tex]

= 17 bagels an hour

Number of bagels in 13 hours = Number of bagels made in an hour x 13

                                                     = 17 x 13

221 bagels will be made in 13 hours.

The best estimate for the circumference of a circle with 3 units radius is equal to 18 units. The correct option is A.

Given the radius of the circle is equal to 3 units.

The formula for the circumference of the circle is equal to

[tex]C=2*\pi *r[/tex].

By substituting the value of the radius and pi we will get:

[tex]C=2*3.14*3\\C=18.86[/tex].

Therefore the best estimate will be 18 units.

Complete question:

Which is the best estimate of the circumference of this circle?

radius = 3 units.

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Answer:

WHEN THE SUM of two numbers multiplies their difference --

(a + b)(a − b)

-- then the product is the difference of their squares:

(a + b)(a − b) = a2 − b2

For, the like terms will cancel.

Symmetrically, the difference of two squares can be factored:

x2 − 25 = (x + 5)(x − 5)

x2 is the square of x. 25 is the square of 5.

The sum of two squares -- a2 + b2 -- cannot be factored. See Section 2.

Example 1. Multiply (x3 + 2)(x3 − 2).

Solution. Recognize the form:

(a + b)(a − b)

The product will be the difference of two squares:

(x3 + 2)(x3 − 2) = x6 − 4.

x6 is the square of x3. 4 is the square of 2.

Upon seeing the form (a + b)(a − b), the student should not do the FOIL method. The student should recognize immediately that the product will be a2 − b2.

That is skill in algebra.

And the order of factors never matters:

(a + b)(a − b) = (a − b)(a + b) = a2 − b2.

Step-by-step explanation:

(a+b)(a-b)

use a and b in the first bracket to multiply the next bracket ; a(a-b)+b(a-b)

a square-ab+ab-bsquare