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.
Jeremy earned $33,000 after working for 44 weeks. How much money did Jeremy earn each week? Show Your Work
Answer: jimmy needs a new job
Step-by-step explanation:
Please help I don’t get it
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
5m+2-m=12m. solve for m. simplify the answer to
the lowest term.
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)
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
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!
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)?
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?
Answer:
.
Step-by-step explanation:
If you can do this whole thing I will give you the brainliest JUST PLEASEE HELPPP MEEEE
Answer:
this hurts my brain x_x my non-existent brain....
Plz help I need it I don’t understand how to do these problems!
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?
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
The inequality that will determine the number of items that need to be sold to make a profit is . The solution to the inequality is . The company must sell at least items to make a profit.
Answer:
1: A (7.5x – 100 > 79.86 + 5.8x)
2: D (x > 105.8)
3: D (106)
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
14.The volume of a cube whose edge is 3x is _______.
FASTT!!!
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
7 cm, 9 cm, 11 cm
This is Irequired question
PLEASE HELP AND LOOK AT MY OTHER RECENT QUESTIONS NOBODY EXCEPT A BOT IS ANSWERING 3
Answer:
1. 6cm , 8cm , 10cm
2. 3cm , 4cm , 5cm
Step-by-step explanation:
How many vehicles were driven at least 200 thousand kilometers
vehicles
Answer:
5
........................
if bob had 5 apples and gave Samatha 2 apples how much does he have
Answer:
3
Step-by-step explanation:
5-2=3
Answer:
According to my calculations...3
Step-by-step explanation:
Please Help
please and thank you!
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
[tex]9^{3}\\729[/tex]
Item 6
Find the selling price.
Cost to store: $50
Markup: 10%
The selling price is?
50×100÷110=45.454545r6
Which of the lines below is perpendicular to y= -2/5
A.y=-5/2x-9
B.y=-2/5x+8
C.y=5/2x+1
D.y=2/5x-3
Calculate the bond energies that correspond to arrows A, B and C in the diagram:
Answer:
Parted = farted and pooed, wafflebox = person who waffles (talking about random things), gogglebox = person who stares at people, battery brain = person who uses drugs. You might want to use these words so no one knows what you are talking about and you can talk about people badly without them knowing
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.
q/19 < 4
pls be correct if you type it !!!!
Answer:
q<76
Step-by-step explanation:
hope this is the answer you were looking for!
Find the distance between the two numbers on a number line. Write your answer as a fraction in simplest form.
3/4,1/8
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 :(
Answer:
Step-by-step explanation:
A line passes through the points (-3,0) and (2,5). Find its equation in general
form.
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.
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
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?
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;
x + x + 134° = [tex]180^{o}[/tex]
2x + 134° = [tex]180^{o}[/tex]
2x = [tex]180^{o}[/tex] - 134°
= 46
x = [tex]\frac{46}{2}[/tex]
= [tex]23^{o}[/tex]
x = [tex]23^{o}[/tex]
The other angles that could be in the isosceles triangle are [tex]23^{o}[/tex] and [tex]23^{o}[/tex].
The data represents the height, in feet, of various buildings. Find the Interquartile Range.
60, 58, 54, 56, 63, 65, 62, 59, 56, 58
Plsss helpppppp :(
This is a testt!
Answer: 6
Step-by-step explanation: