which is the recursive formula for this geometric sequence? -16, -7, 2, 11,

Answer:

<BAC = 20°

Step-by-step explanation:

It is given in the question that all 9 triangle which are formed are congruent, which means that in all triangles, the angle which is formed at point A is same.

Which means 9 angles collectively can be written as 9 · <BAC

If we consider all the 9 triangles, we can see in the figure that it forms a semicircle.

A semicircle has a total sum of angles equal to 180°

So we can write that:

9 · <BAC = 180°

Simplify for <BAC

<BAC = 20°

Answer:

Correct Answers: D,C,B

Step-by-step explanation:

I took the test and got these as the right answers Hope this helped if not I tried

Answer:

i

Step-by-step explanation:

The pattern is as follows

i^1 = i

i^2 = -1

i^3 = -i

i^4 = 1

Following this pattern, i^45 = i.

The value of the expression [tex]i^{45[/tex] is equal to i

Complex numbers are the square root of negative numbers. For instance:

[tex]\sqrt{-1} = i\\i^2 = -1[/tex]

Given the complex number:

[tex]i^{45}\\= (i^2)^{22} \times i\\= (-1)^{22} \times i[/tex]

Since any value raise to the even values will give a positive value hence;

[tex]=(-1)^{22} \times i\\=1 \times i\\= i[/tex]

This shows that the value of the expression [tex]i^{45[/tex] is equal to i

Learn more here: https://brainly.com/question/12769464

Answer:

parallel = 4/3

perpendicular =-3/4

Step-by-step explanation:

Solve for y

-4x+3y=11

Add 4x to each side

3y = 4x+11

Divide by 3

y = 4/3 x +11/3

This is in the form y = mx+b where m is the slope

m =4/3

The parallel line has the same slope

parallel slope is 4/3

The perpendicular line has a negative reciprocal slope

m = -(1 /4/3) = - 3/4

Answer:

[tex]\frac{4}{3}[/tex] and - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

- 4x + 3y = 11 ( add 4x to both sides )

3y = 4x + 11 ( divide all terms by 3 )

y = [tex]\frac{4}{3}[/tex] x + [tex]\frac{11}{3}[/tex] ← in slope- intercept form

with slope m = [tex]\frac{4}{3}[/tex]

Parallel lines have equal slopes, thus

slope of parallel line = [tex]\frac{4}{3}[/tex]

Give a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{3} }[/tex] = - [tex]\frac{3}{4}[/tex]

Answer: b) 384 sq. in.

Step-by-step explanation:

Surface area of cube = 6a^2

= 6 (8)^2

= 6 x 64

= 384 sq. in.

Answer:

negatively skewed

Step-by-step explanation:

This is because the median is on the right hand side

Answer:

B. The variable s represents the number of students in each class.

C. The coefficient 14 represents the number of classes in the 9th grade.

Step-by-step explanation:

The total number can be found by multiplying the number of the things with the number of people producing it. For example if 5 boys make 5  colored ropes the total number of ropes will be 5*5= 25.

In this question the combinations rule is used for variuos number of classes which are 14. Now we have to find the number of students which are s (s-1). Suppose s= 6 so the number of students would be 6(6-1) = 6(5) = 30

We will multiply the number of classes 14 with the number of students s(s-1) to get the total number of cards produced.

Answer: 16

Step-by-step explanation:

The 7 and the 9.

Look closely

Answer:

the answer would be. 12xy

Answer:

12xy

step-by-step explanation:

Answer:

You provided no correct answer

Step-by-step explanation:

The way to correctly solve this problem is by ignoring the 300,000 dollar home part, and simply add the mortgage and the tax which comes out to 7432.26

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

R is between (-3) & (-4)

So, R = - 3.5

Answer:

Step-by-step explanation:

R= -3.5

Answer:

y=10

Step-by-step explanation:

As you can see, the order when x=2 and z=4, is y=x+1, z=y+1, therefore y was 3.

Then, you can find y when x=8 and z=12 by:

12-8=4 (the difference between z and x)

and then divide 4 by 2 (the number of intervals between x, y, and z)

then get 2 (as the difference between x and y.

The answer is 8+2=10.

Hope this helps!

Answer:

The humid pig is 210 millimeters longer.

Step-by-step explanation:

Naomi fish= 40 millimeters

Humid pig = 25 centimeters

1 centimeter is equal to 10 millimeters.

Naomi fish - 40 millimeters

Humid pig- 250 millimeters

To find how much lobger the humid pig is subtract 40 from 250.

250-20 = 210

210 millimeters longer.

Answer:

Step-by-step explanation:

we know that

Answers in cm

we know that

Naomi's fish is 40 millimeters long

convert to centimeters

and

her guinea pig is 25 centimeters long

Find the difference

so

The guinea pig  is  much longer than her fish

Answers in mm

we know that

Naomi's fish is 40 millimeters long

and

her guinea pig is 25 centimeters long

convert to millimeters

Find the difference

so

The guinea pig  is  much longer than her fish

Answer:

5.1

Step-by-step explanation:

I think im not shure

Answer:

5.05050505....% so about 5.1%

Step-by-step explanation:

Hope this helps!

Answer:

Here is the full proof:

AB || DE  Given

∠B = ∠D  Alternate interior angles theorem

∠A = ∠E   ↑

C is the midpoint of BD Given

BC = CD Definition of midpoint

ΔCBA ≅ ΔBDE    SAA

AC = CE   CPCTC

C is the midpoint of AE  Converse of definition of midpoint

Answers:

Step-by-step explanation:

17. We need to understand what an indirect proof is. In an indirect proof, you prove a statement by showing that the negation of the statement is false.

The "then" part of the conditional is the "to prove" statement.

In an indirect proof, we assume the opposite of what we want to prove, this is also called proof by contradiction.

So if we need to prove angle A is not an obtuse angle, we will assume it is and then use the proof format to show that angle A cannot be obtuse.

18. This question is asking us to use an indirect proof again. The "then" part of the statement is "KL > JK" and is the "to prove" statement.

We need the opposite of this, which would be assuming that KL < JK.

Answer:

6:3

Step-by-step explanation:

the ratio of Quinn's throws to Sam's throws would be 6:3

Answer:

2:1

Ratio of Quinn's free throws to Sam's free throws

Answer:

Option A: P ≈ 38.7 in, A ≈ 63.7 in²

Step-by-step explanation:

We are told that △MNO ~△DEF. This means that they are similar triangles.

We can solve for this using scale factor.

a) Perimeter of △MNO

The scale factor of two similar triangles is equal to the ratio of the perimeter of the triangles

Scale factor(k) = ratio of the sides of the triangles

In the diagram we are given

Side of △MNO = 6.7in

Side of △DEF = 9in

Perimeter of △MNO = X

Perimeter of △DEF = 52in

Scale factor (k) = 6.7/9

Hence,

6.7/ 9 = X/52

Cross Multiply

9X = 6.7 × 52

X = 6.7 × 52/9

X = 38.711111111 inches

To the nearest tenth, Perimeter of △MNO = 38.7 inches

b) Area of △MNO

The square of the scale factor of two similar triangles is equal to the ratio of area of the triangles

Scale factor(k) = ratio of the sides of the triangles

In the diagram we are given

Side of △MNO = 6.7in

Side of △DEF = 9in

Area of △MNO = Y

Area of △DEF = 115in²

Scale factor (k) = 6.7/9

Hence,

(6.7/ 9)² = Y/115

6.7²/9² = Y / 115

Cross Multiply

9² × Y = 6.7² × 115

Y = 6.7²× 115 /9²

Y = 63.732716049 square inches

To the nearest tenth, Area of △MNO = 63.7 in²

Answer:

2.35 m²

Step-by-step explanation:

Divide the shape into shapes you can calculate the area of: a rectangle with a semi-circle on top, minus a square.

1. Calculate the area of the rectangle. Formula for area of a rectangle is length · width

1 m · 2 m = 2 m²

2. Calculate the area of the semi-circle. Formula for a semi-circle is [tex]\frac{\pi r^{2} }{2}[/tex] (use 3.14 for π) (radius is equal to half the diameter)

3.14(0.5)² = 0.785

0.785 ÷ 2 = 0.3925 m²

3. Combine the total area

2 + 0.3925 = 2.3925

4. Calculate the area of the square that will not be painted. Formula for area of a square is s² (side · side)

0.2² = 0.04 m²

5. Subtract the area of the square from the total area

2.3925 - 0.04 = 2.3525

2.3525 rounds to 2.35 m²

Answer:

The cross-section of the rectangular prism is a:

Step-by-step explanation:

When you take a cross-section of a rectangular prism, regularly you will obtain a rectangle because this was the base or the two-dimension figure that was used to form the three-dimension figure, in this case, the rectangular prism, the form of obtaining other figure is using how reference the square face, in that case, the cross-section would be a square, this happens because the cross-section is bind with the reference face. Possibly you think the cross-section in the figure doesn´t appear a rectangle, this happens by the perspective because we are looking at the rectangular prism with an inclination of 45°, but if the inclination was 90°, you would see a blue rectangle.

Answer:

5

Step-by-step explanation:

Let x be that number.

4 + 3 × x = 19

4 + 3x = 19

Add -4 on both sides.

4 + 3x - 4 = 19 - 4

3x = 15

Divide both sides by 3.

(3x)/3 = 15/3

x = 5

Answer:

4+3x=19 so, x=5

19-4= 15, 15/3=5 or 5*3=15, 19-15=4.

good luck

Answer:

17 inches

Step-by-step explanation:

The original square had sides of 4.5 (18/4)

To get a perimeter of 10, we know that two sides would already equal 9 (4.5+4.5).  That means we only have 1 inch for the other two sides, so they are each 1/2 inch.

That leaves the second rectangle with a length and width of 4.5 and 4.

2(4.5) + 2(4) =

9+8=

17

Answer:

17 in

Step-by-step explanation:

2(4.5) + 2(4)

=9+8

=17

Hope this helps!

Answer:

8x+11

Step-by-step explanation:

This problem can be solved by using distributive property.

if there is expression  a(b + c).

then by distributive property.

a(b + c). = ab + ac

given problem

3(2x+1) + 2(x+4)

by using distributive property.

=>3*2x + 3*1 + 2*x + 2*4

=> 6x + 3 + 2x + 8

adding term containing x together and constant term together

=> 8x + 11

Thus, solution is 8x+11

P(B given A) = P(A and B) / P(A)

P(B given A) = 0.10 / 0.20

P(B given A) = 0.50

7)18/1.65=10.9 so the meal cost £10.90

8)96/1.54=62.3376623377 so the jacket cost £62.38

9)874/350=2.497142857 so it cost £2.49

10)15/1.12=13.3928571 meaning the pair of sunglasses in Portugal costs £13.39 so it is cheaper to buy the glasses in boots

Answer:

B) 122 degrees.

Step-by-step explanation:

Consider the kite :- the 2 angles at the tangents are 90 degrees so we have:

9x - 5 + 14x + 24 + 90 + 90 = 360

9x - 5 + 14x + 24  = 180

23x + 19 = 180

23x = 161

x = 7

So the obtuse angle = 14(7) + 24

= 98 + 24

= 122 degrees.

Answer:

Se elas quererem 15, duas pessoas. Mas, se quiserem 13, 2,3076923077

Step-by-step explanation:

The angle ∠B is opposite AC in the triangle.

Option A is the correct answer.

We have,

From the triangle,

There are three angles:

∠A, ∠B, and ∠C.

And,

The sides opposite to each angle are:

AC is opposite ∠B

AB is opposite ∠C

BC is opposite ∠A

Thus,

The angle ∠B is opposite AC in the triangle.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Answer:

The 1st answer, The blue whale has about 200 times more mass. might be correct.

Step-by-step explanation:

9 x 10 ^2= 900 kilograms

1.8 × 10 ^5= 180000 kilograms

180000 kilograms / 900 kilograms= 200 times