Answer:
[tex]20[/tex].
Step-by-step explanation:
In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex]:
[tex]a + b > c[/tex],
[tex]a + c > b[/tex], and
[tex]b + c > a[/tex].
In this question, the length of the sides are [tex]10[/tex], [tex]24[/tex], and [tex]x[/tex]. The length of these sides should satisfty the following inequalities:
[tex]10 + 24 > x[/tex],
[tex]10 + x > 24[/tex], and
[tex]24 + x > 10[/tex].
Since [tex]x > 0[/tex], the inequality [tex]24 + x > 10[/tex] is guarenteed to be satisfied.
Simplify [tex]10 + 24 > x[/tex] to obtain the inequality [tex]x < 35[/tex].
Similarly, simplify [tex]10 + x > 24[/tex] to obtain the inequality [tex]x > 14[/tex].
Since [tex]x[/tex] needs to be a whole number, the greatest [tex]x[/tex] that satisfies [tex]x < 35[/tex] would be [tex]34[/tex]. Similarly, the least [tex]x\![/tex] that satisfies [tex]x > 14[/tex] would be [tex]15[/tex]. Thus, [tex]x\!\![/tex] could be any whole number between [tex]15\![/tex] and [tex]34\![/tex] (inclusive.)
There are a total of [tex]34 - 15 + 1 = 20[/tex] distinct whole numbers between [tex]15[/tex] and [tex]34[/tex] (inclusive.) Thus, the number of possible whole number values for [tex]x[/tex] would be [tex]20[/tex].
3125 - [72 - 4(11 - 4)]} =
Answer:
25
Because its right
also I just took a test that has this problem.
x ^ 3 + 3x ^ 2 = 36x + 108
pls help
Answer:
x can equal several things that would fit
-3
-6
or
6
Step-by-step explanation:
A central angle has its vertex on the ___________ and is _________ its intercepted arc.
Answer:
first blank:center
second blank: equal to
Step-by-step explanation:
A central angle has its vertex (the point or corner of the angle) at the center of a circle. The arc (curved piece of the circle) that is cut off by the angle (intercepted arc) has the same measure as the angle. see image
a bank offers a savings account with a yearly simple interest rate of 2 percent. suppose you deposit 550 into savings account. how much simple interest will you earn in 4 years? in 4 years and 6 months.
I WILL GIVE YOU 30 IF YOU JUST HELP ME PLEASE?
Answer:
In 4 years you will get 44 and in 4 years and 6 months you will get 49.5
Step-by-step explanation:
550*0.02= 11 (yearly interest)
11*4 years= 44
11/12months=0.917
0.917*6 months= 5.5
44+5.5=49.5 (4 years and 6 months interest)
Trevor, Lucy, and james want to make a total of 50 paper airplanes. the table shows how many they have made so far. how many more paper airplanes do they need to make
you didn't show the pic
hope you understood...!!!
MAX POINTS Help please and thanks
What is the period and frequency of the function graphed and how would the equation be written?
Answer:
Frequency is total number of complete cycle, made in a unit time.
Period is the time taken to complete a cycle.
Step-by-step explanation:
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex]\qquad \bf \dashrightarrow \:y =a \cos(bx) + k[/tex]
Now, let's find the required values :
period (p) = 6[distance between any successive Crest or trough]
a = - 4 (flipped)b = 2π/p = 2π/6 = π/3k = -2Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \bf \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]
IM STUCK CAN SOMEBODY SOLVE THE EQUATION
Answer:
1.) 400, all you have to do is subtract the two populations and it gives you the amount that it grew by.
2.) it took 2 years, because that is the difference between 2005 and 2007.
3.)if you could tell me the option then that might help? but it grew on an average of 200 students per year.
4.)1002 would be the answer because if it goes down by 200 a year, then you have to subtract 2002-1000 giving you the answer
Step-by-step explanation:
hope this helps.
Help picture below problem 13
Answer:
B. Obtuse
Step-by-step explanation:
An obtuse angle is defined as one that extends beyond 90 degrees. An acute angle is defined as one that is less than 90 degrees. A right angle is one that is 90 degrees.
Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is below.
1. p(x) = 5x2 + 30x
2. p(x) = 5(x2 + 6x)
3. (six-halves) squared = 9;
4. p(x) = 5(x2 + 6x + 9) – 5(9)
5. p(x) = 5(x + 3)2 – 45
What is the vertex of this function? Is it a maximum or a minimum?
What is the axis of symmetry of this function?
Answer:
Step-by-step explanation:
hello :
p(x) = 5(x + 3)2 – 45
the vertex is the point : A(-3 ; -45)
minimum -45
the axis of symmetry is the line when an equation is : x = -3
Carter Is organized text book on his bookshelf. He had an English textbook, a math textbook, a physics textbook, and a writing textbook. How many different ways can he line the textbook up on his bookshelf
Carter can line the books up on his bookshelf in 24 different ways.
Easy math 2 pictures
Answer:
See below
Step-by-step explanation:
x = hours
Payless charges = 50 + 60x
Squad charges = 80 + 50x when are they equal ?
50 + 60x = 80 + 50x
x = 3 hours
Surface area = 2 * ( 10 *5 + 5*3 + 3*10) = 190 ft^2
A triangle is graphed on the coordinate grid below.
What are the coordinates of the image of this triangle after a dilation, with a center of dilation at the origin and a scale factor of 2.
Explanation please!! Thank you
Answer:
The answer is D
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
An open box is to be made from a square piece of cardboard, 18 inches by 18 inches, by removing a small square from each corner and folding up the flaps to form the sides. What are the dimensions of the box of greatest volume that can be constructed in this way
The dimension of the box of the greatest volume that can be constructed in this way is 12x12x3 and the volume is 432.
How to solve the dimension?
Let x be the side of the square to remove. Then the volume of the box is:
V(x) = (18 - 2x)² * x = 324x - 72x² + 4x³
To find the maximum volume, differentiate and set it to 0:
V'(x) = 324 - 144x + 12x²
0 = x² - 12x + 27
0 = (x - 9)(x - 3)
x = 3 or 9
When x = 3,
V"(x) =-144+24x
V"(3) =-144+72=-72<0
so volume is maximum at x=3
Therefore the box is 12x12x3 and the volume is 432.
Learn more about dimension on:
https://brainly.com/question/26740257
FIGURE ABCD BELOW IS A QUADRILATERAL. WHAT IS THE VALUE OF X ?
A. 15
B. 40
C. 45
D. 65
Answer:
x = 45
Step-by-step explanation:
Note that:
The sum of the interior angles of a quadrilateral is 360°.
Angle: ADC+BAD+ABC+BCD = 360°
Thus, Substitute ∠ABC = 3x, ∠BAD = (2x-5) , ∠ ADC = (x+15), ∠ BCD = 80 turn into ADC+BAD+ABC+BCD = 360° :
Also known as :
(x+15) +(2x-5) + 3x+80=360
Solving for x
Add the numbers
x + 90+2x+3x=360
Combine like terms
6x + 90=360
subtract 90 from both sides
6x = 270
x = 45
Hence the value of x = 45
Kavinsky
Answer:
C. 45
Step-by-step explanation:
1) Sum of the interior angles of any shape:
(n - 2) x 180, where n is the number of vertices of a shape. In this case, we have 4 vertices.
= (4 - 2) x 180
= 2 x 180
= 360°
2) Add all the given values equating to 360.
2x - 5 + 3x + 80 + x + 15 = 360
6x + 90 = 360
6x = 360 - 90
6x = 270
x = 270/6
x = 45
Which shows how to determine the volume of the pyramid?
10 cm
8 cm
12 cm
V-3(1268)(10)
OV-2(12)(10)
8
V-=(12(B)(10)
Answer:
V = 1/3(12×8×10)
Step-by-step explanation:
V= 1/3×base area×height
V = 960/3
V = 320cm^3
The volume of the pyramid is,
⇒ V = 320 cm³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Height of pyramid = 10 cm
Length of pyramid = 12 cm
Width of pyramid = 8 cm
Hence, We get;
The volume of the pyramid is,
V= 1/3 × base area × height
V = 1/3 (12×8×10)
V = 960/3
V = 320 cm³
Thus, The volume of the pyramid is,
⇒ V = 320 cm³
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ7
After begging his parents for 3 years, Ed is finally going to clown college! On the first day, his juggling instructor divides a box of bean bags equally among the 17 clowns in Ed's class. Each clown gets 4 bean bags. Which equation can you use to find the number of bean bags b in the instructor's box? Solve this equation for b to find the number of bean bags in the instructor's box. bean bags Questions
The equation that can be used to determine the number of bean bags in the instuctor's box is b = 17 x 4.
The number of bean bags in the instructor's box is 68.
What is multiplication?
Multplication is a mathematcial operation that can be used to determine the product of two or more numbers. The sign used to represent multiplication is ×.
To learn more about multiplication, please check: https://brainly.com/question/13814687
Help asap for brainliest
Answer:
282 ft
Step-by-step explanation:
Area of 2 triangles = 6+6
= 12 ft
Area of 3 rectangles = 90+90+90
= 270 ft
therefore
the surface area = 12 + 270
= 282 ft
I think that I am right
1.) If the function f(x) = (x – 3)^2+ 2, the minimum value occurs when x is
1)-2
2)2
3)-3-
4) 3
Answer:
2
Step-by-step explanation:
Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y=(4/3)x
Answer:
Step-by-step explanation:
Hello:
an equation for the line is : y =mx +b (m: is a slope )
perpendicular to the line described by : y = 4/3 x
So : product for two slopes = -1 means : m×4/3=-1
m = -3/4
now : y = -3/4 x+b
but this line :
through the point (4,2) : 2 =(-3/4)(4)+b....... b=5
conclusion :
the equation is : y = -3/4x +5
Question The population of North Dakota was about 672,000 in 2010. The population is projected to be about 630,000 in 2020. Find the percent decrease of the population of North Dakota. (Round to the nearest tenth of a percent.)
Answer: 6.25%
Step-by-step explanation:
Percent Decrease = ( ( Starting Value - Final Value ) / Starting Value ) * 100
So 672,000-630000 = 42,000
42,000 / 672,00 = 0.0625
Finally multiply by 100 soooooo 0.0625 * 100 = 6.25%
Use the equation below to find c, if a=43 and b= 53.
C= = 180-a-5
Answer:
180-a-5
180-43-5
180-48
180-48=132
c=132
A circle has a diameter of
16".
What is the approximate
Circumference? What is the approximate area?
Step-by-step explanation:
to calculate circumference:
[tex]2\pi \: r[/tex]
if the diameter is 16 then the radius would be 8.
[tex]2\pi \:r \\ = 2\pi(8) \\ = 16\pi \\ =Rationalize(50.26548245744) \\circumference = 50.27[/tex]
to calculate the area of a circle:
[tex]\pi {r}^{2} \\ = \pi( {8})^{2} \\ = Rationalize(201.06192982975) \\ area = 201.06 \: ^{2} [/tex]
Which of the following is the estimated amount of salt that will dissolve at 47 degrees?
30.74
142.06
24.72
35.08
Ths solubility curve can be used to obtain the amount of salt dissolved (solubility).
What is the solubility curve?The solubility curve is a plot of the solubility of a substance against the temperature. It serves the purpose of being used to show the solubility of a susbtance at different temperatures. This question is incomplete hence we can not be able to deduce the solubility of the salt at this temperature.
If the solubility curve has been ploted, then we can be able to estimate the solubility of the salt from the graph.
Learn more about solubility curve: https://brainly.com/question/9537462
Nick is painting his bedroom. Each of the four walls measures 10 feet by 14 feet. He will not paint the ceiling. What is the total area that Nick will paint?
Answer:
560 ft^2
Step-by-step explanation:
You need to find the surface area of the walls
wall 1 10*4 = 140
wall 2 10*4 = 140
wall 3 10*4 = 140
wall 4 10*4 = 140
140 +140 +140 +140= 560
99 PTS PLS HELP! The measures in Table A describe the lengths of snakes in inches in the reptile exhibit at the zoo.
The measures in Table B describe the lengths of lizards in inches in the reptile exhibit at the zoo.
Which statements are true?
Choose each correct answer.
The lengths of the snakes in the exhibit vary more than the lengths of the lizards.
On average, the length of each snake is about 6.2 inches away from 37.2 inches.
The lengths of the lizards in the exhibit vary more than the lengths of the snakes.
On average, the length of each lizard is about 10 inches away from 13.8 inches.
Table A - Snakes
Mean Median Mode Mean Absolute Deviation
37.2 34 32 6.2
Table B - Lizards
Mean Median Mode Mean Absolute Deviation
13.8 14 10 8.2
Answer:
B, CStep-by-step explanation:
The Mean Absoute Deviation is the measure of variability of the data set.
The greater the MAD the more spread the data.
Answer choicesA)The lengths of the snakes in the exhibit vary more than the lengths of the lizards.
Incorrect, as 6.2 < 8.2B) On average, the length of each snake is about 6.2 inches away from 37.2 inches.
Correct, as per Table A 37.2 ± 6.2C) The lengths of the lizards in the exhibit vary more than the lengths of the snakes.
Correct, as 8.2 > 6.2D) On average, the length of each lizard is about 10 inches away from 13.8 inches.
Incorrect, as per Table Bthe MAD is 8.2 not 10If the wages of workers for a given company are normally distributed with a mean of $15 per hour, then the proportion of the workers earning more than $13 per hour:
The proportion of the workers earning more than $13 per hour is greater than the proportion earning less than $13 per hour.
What is a normal distribution?A normal distribution is a probability distribution that is symmetric around the mean of the distribution. This means that the there are more data around the mean than data far from the mean. A normal distribution is also known as the Gaussian distribution. When depicted on a graph, a normal distribution is bell-shaped.
To learn more about a normal distribution, please check: https://brainly.com/question/25846196
What is the volume of the sphere below?
Answer:
D
Step-by-step explanation:
4/3 (3.14) r^3 is the equation, so since the radius is 4
It's 4/3x(pi)64
256/3x(pi)
3 Evaluate( 2+i) squarerooted power 8
Answer:
[tex](i+2)^4[/tex]
Step-by-step explanation:
assuming the equation is [tex](\sqrt{2+i})^8[/tex] this simplifies to [tex](i+2)^4[/tex] where i =[tex]\sqrt{-1}[/tex]
Step-by-step explanation:
[tex]( \sqrt{2 + i} ) {}^{8} = (2 + i) {}^{ \frac{1}{2} \times8 } [/tex]
[tex](2 + i) {}^{4} [/tex]
Split this up
[tex](2 + i) {}^{2} \times (2 + i) {}^{2} [/tex]
Use the Perfect Square Trinomial
[tex](a + b) {}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
[tex](2 { }^{2} + 2(2)i + {i}^{2} )(2 {}^{2} + 2(2)i + {i}^{2} [/tex]
[tex] {i}^{2} = - 1[/tex]
so
[tex](3 + 4i)(3 + 4i)[/tex]
[tex]9 + 24i - 16[/tex]
[tex] - 7 + 24i[/tex]
please I need to know this answer identify and calculate the perimeter for the quadrilateral
Step-by-step explanation:
but that is really, really simple.
is the problem that you don't know what a perimeter is ?
a perimeter is the whole distance you have to "walk", if you would "go" around the whole object.
that means you would have to go along every side until you reach the starting point again.
therefore, the perimeter is simply the sum of all side lengths.
P = 8.6 + 3.1 + 6.67 + 5.37 = 23.74 yds
the height does not play any role in this (but it would be important to calculate the area).
I don't understand these huge numbers you have there in the " P =" line.
where are they coming from ? in any case they have nothing to do with this quadrilateral.
Common factor of 20,88,40
common factors: 1, 2, 4
GCF: 4
