Which function can be used to model the graphed geometric sequence? f(x 1) = five-sixthsf(x) f(x 1) = six-fifthsf(x) f(x 1) = five-sixths superscript f (x) f(x 1) = six-fifths superscript f (x)

Answer:

470 cm³

Step-by-step explanation:

Volume of rectangular prism = width × length × height

⇒ Volume of whole rectangular prism = 9 cm × 10 cm × 8 cm

                                                                = 720 cm³

Side lengths of the missing piece:

⇒ Volume of the missing piece = 5 cm × 10 cm × 5 cm

                                                    = 250 cm³

⇒ Volume of irregular figure = 720 cm³ - 250 cm³

                                                = 470 cm³

[tex]60cm^{2}[/tex]

Step-by-step explanation:

A=pq/2

shorter diagonal= 8cm

longer diagonal = 15cm

15*8 = 120

120/2 = 60

A = [tex]60cm^{2}[/tex]

Answer:

49.12 ft squared

Step-by-step explanation:

1/2(6*8) = 24

1/2(16)pi = 8pi = 25.12

total: 49.12

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve for x and y ~

Since the given triangle is a right angled triangle, we can use Trigonometric ratios here to get the required values

[tex]\qquad \sf  \dashrightarrow \: \tan(45 \degree) = \dfrac{y}{2 \sqrt{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: 1= \dfrac{y}{2 \sqrt{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 2 \sqrt{2} \: \: units[/tex]

Now, let's get to x ~

[tex]\qquad \sf  \dashrightarrow \: \sin(45 \degree) = \dfrac{y}{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{ \sqrt{2} } = \dfrac{2 \sqrt{2} }{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 2 \sqrt{2}{} \times \sqrt{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 2 \times 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 4 \: \: units[/tex]

I hope you understood the whole procedure ~

Answer:

200 feet of the ground at a thirty degrees angle does not make a difference .

u need to know whether it is the top or bottom of it, the kite

Answer:

Answer:

C

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

i got a hundred on the test

Answer:

A = 7.5 units^2

Step-by-step explanation:

A = (a+b)/2 * h

A and B are both bases of the trapezoid (top and bottom)

H is the height

A is 1

B is 4

H is 3

Plug that into the trapezoid equation and we get

(1+4)/2 * 3 = 7.5 units ^2

Answer:

See below ~

Step-by-step explanation:

1. The average grade of Brenda :

2. During the second quarter, Brenda scored her lowest grade, which was an 82.

Answer:

  16.6°

Step-by-step explanation:

The triangle can be solved using the Law of Cosines to find the side opposite the given angle, then the Law of Sines to find the missing angle from the given sides.

__

We choose to use a=10, b=4, C=29°.

  c² = a² +b² -2ab·cos(C) . . . . . law of cosines

  c² = 10² +4² -2·10·4·cos(29°) ≈ 46.0304

  c ≈ √46.0304 ≈ 6.78457

Then angle B (opposite side b) is ...

  sin(B)/b = sin(C)/c . . . . . . . . . law of sines

  sin(B)/4 = sin(29°)/6.78457

  B = arcsin(4/6.78457×sin(29°)) ≈ 16.6085°

The missing acute angle is about 16.6°.

The solution of the liner equation 6k + 10.5 = 3k + 12 is k = 1/2.

Here, 6k + 10.5 = 3k + 12

         6k - 3k = 12 - 10.5

         3k = 1.5

          k = 1.5/3

          k = 1/2

Thus, The solution of the liner equation 6k + 10.5 = 3k + 12 is k = 1/2.

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The answers to the problem are:

a) The value of x is : 8

b) ∠ZRB and ∠BTS are not supplementary angles.

c) ∠BST and ∠RSB are complementary angles.

d) ∠ABT is  an acute angle

e) SA is not the bisector of the angle ∠ZSY.

Angles are formed when two lines meet and they are of different types.

acute: this is an angle less than 90°

obtuse: this angle is greater than 90° but less than 180°

reflex: this angle is greater than 180° but less than 360°

Analysis:

∠BRS = 180 - (20X - 22) = 202 - 20X

a) To find x, sum of angles in the triangle = 202-20x + 2x+32 + 5x+10 + 120-10x = 180

364 -23x = 180

23x = 364-180

23x = 184

x = 8

b) ∠ZRB = 20x-22 = 20(8) - 22 = 138°

   ∠BTS = 2x+32 = 2(8)+32 = 48°

    138°+48° = 186° [tex]\neq[/tex] 180°

     They are not supplementary

c)  ∠BST = 120-10X = 120 - 10(8) = 40°

     ∠RSB = 5x+10 = 5(8)+10 = 50°

      50+40 = 90°. They are complementary

d)   ∠ABT = 180 - ∠ABR = 180 - 100 - x = 88°

      It is acute since it is less than 90°

e)   SA is not an angle bisector, since it dived the angles as 40° and 50° and not equal.

In conclusion, the solution to the questions are:

a) The value of x is : 8

b) ∠ZRB and ∠BTS are not supplementary angles

c) ∠BST and ∠RSB are complementary angles

d) ∠ABT is  an acute angle

e) SA is not the bisector of the angle ∠ZSY

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Answer:

A: He sold 33 copies

B: $4340

Step-by-step explanation:

A: p=80(33) + 2500

   p=2640+ 2500

   p=5140

B: p = 80(23) + 2500

   p=1840+ 2500

   p=4340

Answer:

x < 0

( x is less than 0 )

Explaination:

That open circle point means the answer will not be equal to, which would be options including <(less than) or >(greater than).

If the circle was closed you would use these symbols, ≤(less than or equal to) and ≥(greater than or equal to)

The open circle lands on 0 and the arrow points to the left into the negative numbers. The answer should be x<0 or x is less than 0.

A way to help remember less than vs greater than on a line like this is that the arrow points in the same direction as the symbol! For example, your question shows an arrow going to the left, and the symbol used for it is less than (<) which also looks like a left pointing arrow.

Hope this helps out! :D

Answer:

D.

Step-by-step explanation:

sin 67 = b / 2.4

b = 2.4 sin 67

= 2.2

cos 67 = a / 2.4

a = 2.4 cos 67

= 0.9

M < A = 90-67 = 23 degrees.

Answer:

108

Step-by-step explanation:

Volume of a Square Pyramid :

Solving :

Answer: Volume = 108 cm ³

Explanation:

For a square pyramid, the volume can be calculated as follows:

Volume =  * area of base * height

Volume =  * side² * height

We have:

side length = 6 cm

height = 9 cm

Therefore:

Volume =  * 36 * 9 = 108 cm ³

Hope this helps :)

Answer:

60^2/5

Step-by-step explanation:

2^2/5 × 5^2/5

=(12×5)^2/5

=60^2/5

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{12}}^ \mathsf{^ {\dfrac{2}{5}}}\ \huge\boxed{\times}\ \huge\textsf{5}^\mathsf{^ \dfrac{2}{5}}[/tex]

[tex]\huge\boxed{=}\huge\textsf{ 2.70192 }\huge\boxed{\times}\huge\textsf{ 1.903654}[/tex]

[tex]\huge\boxed{= }\huge\textsf{ 60}^\mathsf{\dfrac{2}{5}}[/tex]

[tex]\huge\boxed{\approx}\huge\textsf{ 5.143521}[/tex]

[tex]\huge\text{Therefore, the answer is: \boxed{\textsf{60}^\mathsf{^\dfrac{2}{5}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Solve the equation:-

[tex]3(7 + 7i) + i(7 + 7i) \\take \: common \: (7 + 7i) \: out\\ (7 + 7i) (3 + i) \: is \: your \: answer [/tex]

Open the equation:-

[tex]3(7 + 7i) + i(7 + 7i) \\ 21 + 21i + 7i + 7 {i}^{2} \\ 7 {i}^{2} + 28i + 21 \: \: answer[/tex]

Answer:

what is P(A), the probability that the first student is a boy? 3/5

what is P(B), the probability that the second student is a girl? 3/4

what is P(A and B), the probability that the first student is a boy and the second student is a girl? 1/2

No, évents A and B are not independent events

Step-by-step explanation:

The probability that the first student is a girl P(A)= 3/4.

The probability that the second student is a girl P(B)= 3/4.

The probability that the first student is a girl and the second student is a girl P(A and B)=9/16.

Given that there are three girls (Sandra, Marta, Jane) and one boy (Franklin), and the sample space of possible outcomes is:

{SA, SM, SJ, SF, MA, MS, MJ, MF, JA, JS, JM, JF, FA, FS, FM, FJ}

P(A): Probability that the first student is a girl (Sandra, Marta, or Jane).

Number of favorable outcomes where the first student is a girl: 3 (Sandra, Marta, Jane)

Total outcomes: 4 (total number of students)

P(A) = Number of favorable outcomes / Total outcomes = 3 / 4

P(B):

Probability that the second student is a girl (Sandra, Marta, or Jane).

Number of favorable outcomes where the second student is a girl: 3 (Sandra, Marta, Jane)

Total outcomes: 4 (total number of students)

P(B) = Number of favorable outcomes / Total outcomes = 3 / 4

P(A and B):

Probability that the first student is a girl and the second student is a girl.

Number of favorable outcomes where both students are girls: 3 (Sandra, Marta, Jane)

Total outcomes: 4 (total number of students)

P(A and B) = P(A).P(B)

= 3/4 × 3/4

=9/16

Hence, P(A)=3/4

P(B)=3/4

P(A and B)=9/16

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The quotient of the fraction n³ / (2n - 6) ÷ n³ / (3n - 9) is 2/3

n³ / (2n - 6) ÷ n³ / (3n - 9)

= n³ / (2n - 6) × 1 / n³ / (3n - 9)

= 2n - 6 / 3n - 9

= 2(n - 3) / 3(n - 3)

= 2/3

Therefore, quotient of the fraction n³ / (2n - 6) ÷ n³ / (3n - 9) is 2/3

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Answer:

2/3

Step-by-step explanation:

To find the point of symmetry:

  ⇒ must find where the distance between the original point and the

   line of symmetry and reflected point and the line of symmetry are

   equally distant from each other

Based on that knowledge:

 ⇒ the image appears to be entirely reflected horizontally

    ⇒ when the line of symmetry is the y-axis

        ⇒ A, A' equal distant from line of symmetry

        ⇒ B, B' equal distant from line of symmetry

        ⇒ C, C' equal distant from line of symmetry

Answer: y- axis

Hope that helps!

Answer:

multiplication

Step-by-step explanation:

the () means to multipy

Answer:

1) 104

2) 132

3) 110

4) 112

5) 105

Step-by-step explanation:

These questions involve the sum of interior and exterior angles.
for the first 4 questions,

Use the formula: (n-2)*180-(sum of remaining angles)

For example q1, it has 4 angles

So substitute 4 into n

(4-2)*180=360

64+99+93+x=360

x=104°

(Do the same for q2-4)

For q5,

Sum of exterior angles of ANY polygon=360°

Therefore,

88+75+92+x=360

x=105°

Pls double check the answers yourself with a calculator, hope you find it helpful! :)

Step-by-step explanation:

b×h1÷2 use this formulae

Answer:

15t

Step-by-step explanation:

if you do the sqrt of 25 you get five than multiply that by 3 to get 15 then do the sqrt of t to get t

Hope this helps! ;-)