Which expression is equivalent to 1 1/2 plus 1 6/7 I NEED HELP HURRY

Answer:

34 cm

Step-by-step explanation:

The nth term of a geometric progression Tₙ = arⁿ⁻¹ where a = first term, and r = common ratio.

Given that our first term, T₁ = ar¹⁻¹ = a = 121 cm and our third term T₃ = ar³⁻¹ = ar² = 64 cm

Then, T₃/T₁ = ar²/a = r²

r² = T₃/T₁

r² = 64 cm/121 cm

r = √64/121

r = 8/11

So, the height of our fifth bounce T₅ = ar⁵⁻¹

= ar⁴

= 121 cm × (8/11)⁴

= 121 × 4096/14641

= 4096/121 cm

= 33.9 cm

≅ 34 cm to the nearest cm

Using a geometric sequence, it is found that the height of the fifth bounce is of 33.85 cm.

In a geometric sequence, the quotient between consecutive terms is always the same, and it is called common ratio r.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1r^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem:

[tex]a_n = a_1r^{n-1}[/tex]

[tex]64 = 121r^{2}[/tex]

[tex]r^2 = \sqrt{\frac{64}{121}}[/tex]

[tex]r = \frac{8}{11}[/tex]

Hence:

[tex]a_n = 121\left(\frac{8}{11}\right)^{n-1}[/tex]

The height of the fifth bounce is of [tex]a_5[/tex], hence:

[tex]a_5 = 121\left(\frac{8}{11}\right)^{4} = 33.85[/tex]

The height of the fifth bounce is of 33.85 cm.

You can learn more about geometric sequences at https://brainly.com/question/11847927

Answer:

Every angle of Square = 90°

diagonal bisects the angle in half.

=> angle FGI = 45°

=> 7x+3=45

=>7x=42

therefore, x=42/7=6

Answer:

-6

djdhhdhdxbxvsbsbvsshhsdh

-6 hehdbnfjenend

Step-by-step explanation:

hfea ehsusbshidbd

Answer:

38

Step-by-step explanation:

96/16  

+(25)(2)−15−3

=6+(25)(2)−15−3

=6+50−15−3

=56−15−3

=41−3

=38

Answer:

0.6666666666etc but you have to round it to 67 because it is closer to 67

Step-by-step explanation:

Answer:

Step-by-step explanation:

No, it is an exponential growth function because 1.03>1. An exponential decay function would have a rate less than 1.

this question answer is 4.25

Answer:

The answer is C. 82 degrees!

Step-by-step explanation:

Hope this helped! Have a fantastic rest of ur day/ night! :)))

Answer:

m∠4 = 57 degrees

m∠5 = 123 degrees

m∠6 = 35 degrees

Step-by-step explanation:

Answer:

90 degrees

Step-by-step explanation:

classmate is muy stupio

the non 90 degree angles are all congruent

which means each of them are 45 degrees

cuz triangle degree add up to 180

then

u use subtraction

cuz a line is 180 degrees

Answer:

52 sq mm

Step-by-step explanation:

you can break it into a long rectangle in the middle with dimensions of 2(6+8) or 2(14) = 28 sq mm

the triangle on the bottom has a base of (8-4) x height of 3, which gives 6 sq mm (you have to divide by 2)

the upper left rectangle is 6 x 3 = 18 sq mm

add: 28 + 6 + 18 = 52

Answer:

D

Step-by-step explanation:

Dilating BC to B'C' by a factor of 1/2 makes each side of the triangle halved. Originally BC is 16, so when it's halved, it becomes 8

We know when triangle are similar and are changed only by a scale factor, the angle will not change. Angle A' = 28 degrees

The congruency rules is as follows;

4)a) The triangles are congruent by SSS Congruency Postulate

b) Triangle PQR is congruent to Triangle PQS

5a) The triangles are not congruent

b) Triangle VWZ is not congruent to Triangle YXZ

6a) The triangles are congruent by SAS Congruency Postulate

b) ΔACB is congruent to ΔDBC by SAS Congruency Postulate

7) The triangles are not congruent

b) ΔKLJ is not congruent to ΔMNL

There are different congruency postulates or theorems as it pertains to congruent triangles and they are;

AAS theorem which denotes Angle-Angle-Side Theorem

HL theorem which denotes Hypotenuse-Leg Theorem

SSS Postulate which denotes Side-Side-Side Postulate

ASA postulate which denotes Angle-Side-Angle Postulate

SAS Postulate which denotes Side-Angle-Side Postulate

5) We can see that we are given two sides of one triangle that are congruent to two sides of another triangle. However, the third side is also congruent by reflexive property of congruency and as such we now have three sides congruent by SSS Congruency Postulate.

5) We can see that we are given two sides of one triangle that are congruent to two sides of another triangle. Now, the angle where the transverse lines intersect is not given but we can see that they are opposite angles by definition of opposite angles. Thus, the triangles are congruent by SSA Congruency Theorem because it has a non-included angle but SSA Congruency is not valid and so this is not congruent.

6) We can see that one side is given to be congruent. However, by reflexive property of congruence, we see that BC is congruent to itself and also the included right angle being congruent to each other. Thus, this is congruent by SAS Congruency postulate.

7) The triangles are not congruent because we are not given any third congruent side nor the angles and we can't use the given data to prove congruency.

Read more about Congruent Triangles at; https://brainly.com/question/1675117

#SPJ1

Answer:

[tex]\frac{\sqrt{189x^3y^6} }{\sqrt{3x} } \\= \frac{\sqrt{3^2(7)(3)(x^2)(x)(y^3)^2} }{\sqrt{3x} } \\=\sqrt{\frac{(3xy^3)^2(7)(3x)}{3x} }\\=3xy^3\sqrt{7}[/tex]

Answer:

90

Step-by-step explanation:

You have 10 dollars saved and each week you recieve 5,multiply 10 x 5 and then multiple 15x6 and there you go

Answer:

51°

Step-by-step explanation:

so lets all know that the sum of a trapezoid is 360°

so lets find x

360-83-115-111=51

so your answer is 51°

Hope this helped :)

Answer:

Step-by-step explanation:

Hope this helps

click link

Answer: 5 2/6

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

A series is the terms added together and a sequence is the list of terms.  When you add the terms of a sequence, then you have formed a series.

Answer:

im sorry i dont know

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

25 divided by 5 is 5 and in fractions 1/5 is 20 therefore 20% for every 5 pounds so if you lose 5 pounds you lost 20% of her weight.

Answer:

ana totta

Step-by-step explanation:

Answer:

8, 15, 17

Step-by-step explanation:

The 2nd option. You know this by using this math formula: a^2 + b^2 = c^2. That is the formula to find a right triangle. So if you square 8 and 15 you get 64 and 225, and if you add them together you get 289, which is 17^2. Hope this helps! :)

Answer:

Yes these triangles ate similar.

Step-by-step explanation:

The two triangles are similar if their third angle is equal. The sum of all angles of triangles must be equal to 180 degrees. The triangle 1 has sum of 180 degrees and triangle 2 has sum of 180 degrees. These triangles have third angle same which is 45 degrees.

Answer:

مرحبًا ، سأكون سعيدًا لمساعدتك في حبك في العمل ، وأريد المزيد من التفاصيل ، وسأبذل قصارى جهدي لإرضائك

Step-by-step explanation:

Answer:

I recommend using GeoGebra to graph the coordinates

Step-by-step explanation:

I use that whenever someone asks if certain coordinates make a shape

Here's the link:

http://contentstore.ple.platoweb.com/content/GeoGebra.v5.0/GeoGebra_Activity.html

Answer:

She must sell 1026.66666667 kites

Step-by-step explanation:

15,400/15

The number of kites that Ellen needs to sell to complete her annual goal is 1027.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Ellen can make a $15 profit on each kite she sells. Also, Ellen's annual income goal is to have $15,400. Therefore, the number of kites that Ellen needs to sell is,

Number of kites that Ellen will sell = Annual income goal/Profit on each kite

Number of kites that Ellen will sell = $15,400 / $15

                                                     = 1026.6667

Since Ellen can not sell half kites, therefore, she needs to sell 1027 kites to complete her annual income goal.

Hence, the number of kites that Ellen needs to sell to complete her annual goal is 1027.

Learn more about Division here:

https://brainly.com/question/369266

#SPJ2