If side x has a length of 15 cm and side y has a length of 4 cm, then which value below could be the length of side z?
A.
20 cm
B.
21 cm
C.
17 cm
D.
10 cm

Answers

Answer 1

Given:

In a triangle, side x has a length of 15 cm and side y has a length of 4 cm.

To find:

The possible value of side z.

Solution:

In a triangle, the sum of two smaller sides must be greater than the largest side otherwise the triangle is not possible.

Case I: Let x be the largest side, then

[tex]y+z>x[/tex]

[tex]4+z>15[/tex]

[tex]z>15-4[/tex]

[tex]z>11[/tex]               ...(i)

It is clear that [tex]y<x[/tex]. So, y cannot be a largest side.

Case II: Let z be the largest side, then

[tex]x+y>z[/tex]

[tex]15+4>z[/tex]

[tex]19>z[/tex]               ...(ii)

From (i) and (ii), we get

[tex]11<z<19[/tex]

It means the value of z lies between 11 and 19.

From the given options, only 17 is the value which lies between 11 and 19. So, the possible length of side z is 17 cm.

Therefore, the correct option is C.


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Jeremy earned $33,000 after working for 44 weeks. How much money did Jeremy earn each week? Show Your Work

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Answer: jimmy needs a new job

Step-by-step explanation:

Please help I don’t get it

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Answer:

4.718592

Step-by-step explanation:

To get to -14.4 from 18 you multiply 18 x 0.8

Repeat that until you get to the 7th term

18 (1st)

18 x 0.8 = -14.4 (2nd)

-14.4 x 0.8 = 11.52 (3rd)

11.52 x 0.8 = 9.216 (4th)

9.216 x 0.8 = 7.3728 (5th)

7.3728 x 0.8 = 5.89824 (6th)

5.89824 x 0.8 = 4.718592 (7th)

help asap

could someone please explain how to solve/answer this?

much appreciated

Answers

the angles you have to find are vertical angles to the equations that are given. a vertical angle is an angle that is directly across from another.

angle 1 is equal to 4x+10

angle 2 is equal to 8x-25

since this is a transversal,

4x+10=8x-25

then just solve for x.

x= 8.75

then substitute 8.75 wherever you see x.

4(8.75)+10 = 45
8(8.75)-25= 45

going back to the vertical angle rule, both angle 1 and 2 are equal to 45°

5m+2-m=12m. solve for m. simplify the answer to
the lowest term.

Answers

Answer:

m=1/4

Step-by-step explanation:

5m+2-m=12m

4m+2=12m

2=12m-4m

2=8m

2/8=m

1/4=m

m=1/4

Which product of prime polynomials is equivalent to 3x4 – 81x?

3x(x – 3)(x2 – 3x – 9)
3x(x – 3)(x2 + 3x + 9)
3x(x – 3)(x – 3)(x + 3)
3x(x – 3)(x + 3)(x + 3)

Answers

Given:

The expression is

[tex]3x^4-81x[/tex]

To find:

The product of prime polynomials which is equivalent to the given expression.

Solution:

We have,

[tex]3x^4-81x[/tex]

Taking out the common factors, we get

[tex]=3x(x^3-27)[/tex]

It can be written as

[tex]=3x(x^3-3^3)[/tex]

[tex]=3x(x-3)(x^2+3x+3^2)[/tex]        [tex][\because a^3-b^3=(a-b)(a^2+ab+b^2)][/tex]

[tex]=3x(x-3)(x^2+3x+3^2)[/tex]

[tex]=3x(x-3)(x^2+3x+9)[/tex]

Therefore, the correct option is B.

Answer:

It's B

Step-by-step explanation:

245 tickets in 5 days what is the unit rate

Answers

Answer:

245/5 = 49 tickets per day

Answer:

245 / 5 = 49 so

49 tickets per day

please help this is a swyk and im trying to get all my grades up!

Answers

Answer:

2/9 - 1/6 = 1/18

Step-by-step explanation:

2/9= 4/18 and 1/6=3/18

so...

4/18-3/18=1/18

Hope This Helps!

Answer:

1/18

Step-by-step explanation:

find the LCD

= 18

say

18

= 18 ÷ 9

= 2

= 18 ÷6

= 3

now say

2 × 2 = 4

3 × 1 = 3

4-3/18

= 1/18

Which quadratic function has a vertex point of (3,5) and passes through the
point (-2,55)?

Answers

9514 1404 393

Answer:

  f(x) = 2(x -3)² +5

Step-by-step explanation:

For vertex (h, k) and scale factor 'a', the vertex form is ...

  f(x) = a(x -h)² +k

We can fill in the values of h and k from your vertex, and use the values of the extra point to find 'a'.

  55 = a(-2 -3)² +5

  50 = 25a . . . . . . . . subtract 5

  a = 2 . . . . . . . . . . . divide by 25

So, the function is ...

  f(x) = 2(x -3)² +5

__

In standard form, that will be ...

  f(x) = 2x² -12x +23

Pls help if you know-
Suzie is baking blueberry pies to sell at her bakery. She starts with 9 cartons of blueberries, of which she uses 2/3 for the first batch of pies. How many cartons of blueberries does Suzie use for the first batch of pies?

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Answer:

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Step-by-step explanation:

If you can do this whole thing I will give you the brainliest JUST PLEASEE HELPPP MEEEE

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Answer:

this hurts my brain x_x my non-existent brain....

i got you
1) Diameter = 16
Circumference = 50.25
Area = 200.96
2) Radius = 12
Circumference = 75.36
Area = 452.16
3) Diameter = 12
Circumference = 37.68
Area = 113.04
4) Radius = 3
Circumference = 18.84
Area = 28.26
5) Diameter = 28
Circumference = 87.92
Area = 615.44
6) Radius = 5
Circumference = 31.4
Area = 78.5
7) Radius = 16
Circumference = 100.48
A= 803.84
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Circumference = 119.33
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1. D. Rx9-5
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A costume designer needs to make 12 costumes for the school play. Each costume requires 223 yards of fabric. How many yards of fabric does the costume designer need to make all the costumes?

Answers

Answer:

2676 yards

Step-by-step explanation:

12*223 is 2676

if each costume requires 223 yards then all you do is multiply the numbers

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Answers

Answer:

1: A (7.5x – 100 > 79.86 + 5.8x)

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Step-by-step explanation:

EDG 2021

Answer:

The inequality that will determine the number of items that need to be sold to make a profit is

✔ 7.5x – 100 > 79.86 + 5.8x

The solution to the inequality is

✔ x > 105.8

The company must sell at least

✔ 106

items to make a profit.

Have a bless day. :D

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FASTT!!!

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Answer:

[tex]27x^3[/tex]

Step-by-step explanation:

Select all the sets of side lengths that will make a triangular shelf fit in a 90 1 point
degree corner of a room.
3 cm, 4 cm, 5 cm
2 cm, 3 cm, 4 cm
5 cm, 6 cm, 9 cm
6 cm, 8 cm, 10 cm
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This is Irequired question

PLEASE HELP AND LOOK AT MY OTHER RECENT QUESTIONS NOBODY EXCEPT A BOT IS ANSWERING 3

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Answer is 7cm i think

Answer:

1. 6cm , 8cm , 10cm

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Step-by-step explanation:

How many vehicles were driven at least 200 thousand kilometers
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........................

if bob had 5 apples and gave Samatha 2 apples how much does he have

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Step-by-step explanation:

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Answer:

According to my calculations...3

Step-by-step explanation:

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please and thank you!

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Answer:

Step-by-step explanation:

cube means 3D  square.. right?

so for volume  we want the height x width x length.. make sense?

since each edge is 9'  

the volume is [tex]9^{3}[/tex] = 729  [tex]ft^{3}[/tex]

Answer: 729

Step-by-step explanation:

This is very simple all you do is cube 9

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Find the selling price.

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Answers

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Step-by-step explanation:

For the past several years, the high school theater department has performed a musical in their auditorium. Each year since the first, they have raised ticket prices by $0.25, however the department has also noticed a decline in the number of people attending each year. This year, they are analyzing the ticket prices, attendance, and sales to determine the ticket price that maximizes their sales.

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Step-by-step explanation:

hope this is the answer you were looking for!

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Answers

Answer:

From 3 to 4,1 is 1,9 and from 4,1 to 8 it is 4,9 I think. I am sorry if I'm wrong I haven't done this is a while?

Pls help I need this answer asap I got 10 min left :(

Answers

Answer:

Step-by-step explanation:


A line passes through the points (-3,0) and (2,5). Find its equation in general
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Answers

The answer would be y = x + 3

Q1. Prasha has five blocks of wood. The total weight of all five blocks of wood is 3 kilograms. 4 of the blocks of wood each have a weight of 650 grams. Work out the weight, in grams, of the other block of wood.

Answers

Answer: Weight of the remaining block of wood =400g

Step-by-step explanation:

Total Weight of five(5) blocks = 3kg = 3000g

Weight of 4 out of the 5 blocks = 650x 4= 2600g

Weight of the remaining block of wood =Total Weight of five(5) blocks-Weight of 4 out of the 5 blocks

= 3000g-2600g

=400g

evaluate the expression
I 13 I + I -2 I

Answers

Answer:

15

Step-by-step explanation:

Apply absolute rule: | a | = a, a ≥ 0

| 13 | = 13

= 13 + | -2 |

| -2 | = 2

= 13 + 2

= 15

An isosceles triangle has an angle that measures 134°. Which other angles could be in that isosceles triangle?

Answers

Answer:

[tex]23^{o}[/tex] and [tex]23^{o}[/tex]

Step-by-step explanation:

An isosceles triangle has two of its sides and angles to be equal. Let each of the unknown equal angles be represented by x. Since one of its angles measures  134°, then;

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2x + 134° = [tex]180^{o}[/tex]

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x = [tex]23^{o}[/tex]

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The data represents the height, in feet, of various buildings. Find the Interquartile Range.

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Answer: 6

Step-by-step explanation:

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