The Research Triangle in North Carolina is formed by Raleigh, Durham, and Chapel Hill. Is this triangle a right triangle? Explain.
Answers
The triangle is not a right triangle. This is because the sum of the square of the two shorter lengths is not equal to the square of the longest length.
Is the triangle a right triangle?
In order to determine if the triangle is a right triangle, Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
where a = length
b = base
c = hypotenuse
12 ² + 24²
= 144 + 576 = 720
29² = 841
To learn more about Pythagoras theorem, please check: https://brainly.com/question/14580675
#SPJ1
Related Questions
elect the correct answer.
which direction must the graph of f(x) = 2* be shifted to produce the graph of g(x) = 2(x+8)
OA. left
OB. right
O C.
down
OD.
Answers
The answer to this question is (A) left.
A student needed to find the measure of angle b. She incorrectly said mZb=118°. Find the correct measure of angle b. What mistake did she likely make?
Answers
Answer:
D
Step-by-step explanation:
To find angle B, you should subtract 62 from 90 since because a right angle is 90 degrees.
D she substrate 62 from 180 instead 90
Step-by-step explanation: according 90 degree angle we have so we have to substrate from that .if we want substrate from 180 then we have to substrate 90 also from 180 for correct answer.
Rationalize the denominator. [tex]\frac{9}{\sqrt{x+3} }[/tex] Simplest form
Answers
The result after rationalizing is [tex]\frac{9\sqrt{x+3} }{x+3}[/tex].
What is Rationalization?Rationalization can be considered as the process used to eliminate a radical or an imaginary number from the denominator of an algebraic fraction.
Here, given fraction
[tex]\frac{9}{\sqrt{x+3} }[/tex]
Multiply and divide by [tex]\sqrt{x+3}[/tex], we get
[tex]\frac{9}{\sqrt{x+3} } \frac{\sqrt{x+3} }{\sqrt{x+3} }[/tex] = [tex]\frac{9\sqrt{x+3} }{x+3}[/tex]
Thus, the result after rationalizing is [tex]\frac{9\sqrt{x+3} }{x+3}[/tex].
Learn more about Rationalization from:
https://brainly.com/question/15837135
#SPJ1
James is paid $18 an hour at his new job. He wishes to graph his total pay T, as a function of the number of hours, h. James works between 25 and 40 hours each week. Select from the drop-down menus to correctly complete each statement. To best show this information, the scale for the T-axis of his graph should go from 0 to at least Choose... , and the h-axis of his graph should go from 0 to at least Choose... .
Answers
Answer
T-axis of his graph should go from 0 to at least 720, and the h-axis of his graph should go from 0 to at least 40.
Explanation
We know form our problem that is the total pay, is the number of hours, and $18 is the rate per hour, so putting it all into an equation we get:
We also know that James works between 25 and 40 hours each week, so we can replace the number of hours in our equation to get how much he can make per week:
- For
- For
Now we know that he can make between $450 and $720 working between 25 and 40 hours per week. So, to best show this information the T-axis should go from 0 to at least 720; otherwise, we won't be able to show values between $450 and $720. Similarly, the h-axis should go form 0 to at least 40; otherwise, we wont be able to show values between 25 and 40 hours.
Can you conclude that this parallelogram is a rectangle ? Explain. No;the diagonals do not bisect two angles of the parallelogram. No;the diagonals may not be congruent. Yes; the diagonals are perpendicular
Answers
The answer to the question on Parallelograms being rectangles is that; No; the diagonals may not be congruent
How to Identify the properties of a Parallelogram?1) We cannot conclude that the parallelogram is a rectangle but we can say that all rectangles are parallelograms.
2) The explanation for number 1 above is that the parallelogram's diagonals may not be equal or congruent but in rectangles diagonals are always equal and bisect each other.
Read more about Parallelogram Properties at; https://brainly.com/question/970600
#SPJ1
Use linear equation to calculate intercepts.
x minus one-half y = negative 4
Complete the table with values for a and b.
A 2-column table with 3 rows. Column 1 is labeled x with entries 0, negative 2, b. Column 2 is labeled y with entries a, 4, 0.
a =
b =
Answers
The x intercept of the linear equation is -4 and y intercept is 8.
Intercept of the linear equation
The intercept of the linear equation is calculated as follows;
x - y/2 = -4
make y the subject of the formula;
y/2 = x + 4
y = 2x + 8
y intercept is obtained at point, x = 0y = 0 + 8
y = 8
x intercept is obtained at point, y = 00 = 2x + 8
2x = -8
x = -4
Thus, the x intercept of the linear equation is -4 and y intercept is 8.
Learn more about x and y intercept here: https://brainly.com/question/24363347
#SPJ1
Answer:
The x intercept of the linear equation is -4 and y intercept is 8
Step-by-step explanation:
Use the graph of the function provided to find the indicated values.
Answers
a) When x = -2, g(x) = 5.
b) When x = -4, g(x) = 7.
c) When g(x) = 6, x = -3
d) When g(x) = -1, x = 4
Name the marked angle in 2 different ways.
W
T
V
U
Answers
The marked angle can be named in two different ways as: ∠HFG and ∠GFH.
How to Name an Angle?To name an angle, the letter representing the vertex would always be at the middle.
Given the angle marked in the image below, where F is the vertex, we can name the marked angle in two different ways with F at the center as:
∠HFG and ∠GFH
Thus, the two different ways to name the marked angle are:
∠HFG and ∠GFH.
Learn more about angles on:
https://brainly.com/question/25770607
#SPJ1
The quantity of a good demanded rises from 1000 to 1500 units when the price falls from $1.50 to $1.00 per unit. The price elasticity of demand for this product is approximately
Answers
The price elasticity of demand for this product is approximately will be 1.
What is the price elasticity?The price elasticity is given as
[tex]\rm PE = \dfrac{\dfrac{Q_f-Q_i}{Q_f+Q_i}}{\dfrac{P_f-P_i}{P_f+P_i}}\\\\\\[/tex]
The quantity of a good demanded rises from 1000 to 1500 units when the price falls from $1.50 to $1.00 per unit.
The price elasticity of demand for this product is approximately will be
[tex]\rm PE = \dfrac{\dfrac{1500-1000}{1500+100}}{\dfrac{1.5-1}{1.5+1}}\\[/tex]
On further solving, we have
PE = (500 / 2500) x (2.5 / 0.5)
PE = 1
The price elasticity of demand for this product is approximately will be 1.
More about the price elasticity link is given below.
https://brainly.com/question/13565779
#SPJ1
5 ice creams cost 6.50 pounds. How much do 11 ice creams cost
Answers
Answer:
14.30
Step-by-step explanation:
6.50/5=1.3
so one ice cream is 1.30 pounds
1.30X11=14.3
so 11 ice creams is 14.30 pounds
The graph of y = is reflected over the y-axis and then translated down 2 units to form f(x). Which is the graph of f(x)?
Answers
If the function is reflected over the y-axis and then translated down 2 units. the resulting function will be -∛x - 2
Transformation of coordinatesTransformation is a technique used to change the position of an object on an xy-plane.
Given the function y = ∛x
If the function is reflected over the y-axis and then translated down 2 units to form f(x), the resulting function f(x) will be:
f(x) = -∛x - 2
The graph of the resulting function is attached
Learn more on translation here: https://brainly.com/question/12861087
#SPJ1
Answer:
B
Edge 2023
The other answer is incorrect!!!
At 50 minutes how far is the winning runner use ur equations
Answers
Answer:
3.5 km
Step-by-step explanation:
What number comes next in the sequence?
1, 1, 2, 3, 5, 8, 13, 21, 34, ?
Answers
Answer:
55
Step-by-step explanation:
1+1 = 2
1+2 = 3
2+3 = 5
3+5 = 8
5+8 = 13
8+13 = 21
13+21 = 34
21 +34 = 55
PLEASE GIVE BRAINLIEST
A triangular pyramid has a triangular base with height of 1.5 inches and base length of 4 inches, and height of 9 inches. What is the volume?
18 cubic inches
27 cubic inches
3 cubic inches
9 cubic inches
Answers
Answer:
V = 9 in^3
Step-by-step explanation
Comment
The formula for a Pyramid of any B is V = B * h / 3. You have to be able to calculate the Base or just be given in it.
In this case the Base is a triangle. So the first thing needed is the area of the base.
Base
Area_triangle = base length * height / 2
Neither the Base length nor the height need to be the same as the B and h used for the volume of the Pyramid
Givens
b = 4 inches
h = 1.5 inches
Area_triangle = 4 * 1.5 / 2
Area_triangle = 2 * 1.5
Area_triangle = 3 inches^2
Solution
Base (triangle) Area = 3
h = 9
V = B * h / 3
V = 3 * 9 / 3
V = 9 cubic inches
Answer V = 9 in^3
Which statement illustrates a simulation that could be used to generate samples of people on a game show selecting either door A, door B, or door C?
Answers
Answer:
The correct option is;
B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C
The quotient of (x5 – 3x3 – 3x2 – 10x + 15) and (x2 – 5) is a polynomial. What is the quotient?
Answers
The quotient [tex]x^5 - 3x^3 - 3x^2 - 10x + 15 \div x^2 - 5[/tex] is [tex]x^3 + 2x - 3[/tex]
How to determine the quotient?The quotient can be represented as:
[tex]x^5 - 3x^3 - 3x^2 - 10x + 15 \div x^2 - 5[/tex]
Start by expanding the dividend
[tex]x^5 + 2x^3 - 5x^3 - 3x^2 - 10x + 15 \div x^2 - 5[/tex]
Rewrite as:
[tex]x^5 + 2x^3 - 3x^2 - 5x^3 - 10x + 15 \div x^2 - 5[/tex]
Factorize the dividend
[tex]x^2(x^3 + 2x - 3) - 5(x^3 + 2x - 3) \div x^2 - 5[/tex]
Factor out x^3 + 2x - 3
[tex](x^2- 5)(x^3 + 2x - 3) \div x^2 - 5[/tex]
Cancel out the common factor
[tex]x^3 + 2x - 3[/tex]
Hence, the quotient [tex]x^5 - 3x^3 - 3x^2 - 10x + 15 \div x^2 - 5[/tex] is [tex]x^3 + 2x - 3[/tex]
Read more about polynomials at:
https://brainly.com/question/1498111
#SPJ1
Answer: x3 + 2x – 3
Step-by-step explanation:
Please answer all 5 xoxo <3
Answers
Answer:
First Image: Option D
Second Image: Option D
Third Image: Option C
Fourth Image: Option B
Fifth Image: Option B
Step-by-step explanation:
First Image:
Supplementary angles is two angles whose sum is 180 degrees (straight line)180 - 47 = 133°? is an obtuse angle is any angle greater than 90° which checks the answerSecond Image:
A triangle angles adds up to 180° Two angles are already given72 + 45 + ? = 180° → 117 + ? = 180° → ? = 63°? is an acute angle is an angle that measures between 90° and 0°Third Image:
Supplementary angles is two angles whose sum is 180 degrees (straight line)180 - 110 = 70°? is an acute angle is an angle that measures between 90° and 0°Fourth Image:
Supplementary angles is two angles whose sum is 180 degrees (straight line)180 - 120 = 60°we are shown a right angle which = 90°A triangle adds up to 180° 180 - 90 - 60 = 30? = 30°? is an acute angle is an angle that measures between 90° and 0°Fifth Image:
Supplementary angles is two angles whose sum is 180 degrees (straight line)180 - 85 = 95°? is an obtuse angle is any angle greater than 90° which checks the answerLearn more about Triangles here: https://brainly.com/question/4186813
1.8(1.1x−1.3)−1.88=−24.02
Answers
The solution will be x= -10
Simplifying the given expression
[tex]1.8(1.1x - 1.3) - 1.88 = - 24.02[/tex]
Step1: Convert decimal to fraction
[tex]1.8( \frac{11x}{10} - 1.3) - 1.88 = - 24.02[/tex]
[tex]1.8( \frac{11x}{10} - \frac{13}{10} ) - 1.88 = - 24.02[/tex]
[tex]\frac{18}{10} ( \frac{11x}{10} - \frac{13}{10} ) - 1.88 = - 24.02[/tex]
Step2: Make denominator common
[tex]\frac{18}{10} ( \frac{11x - 13}{10}) - 1.88 = - 24.02[/tex]
Step3: Simplifying the fraction
[tex]\frac{9}{5} ( \frac{11x - 13}{10}) - 1.88 = - 24.02[/tex]
Step4: Make denominator common
[tex] \frac{9(11x - 13)}{5 \times 10} - \frac{1.88 \times 50}{50} = - 24.02[/tex]
[tex] \frac{9(11x - 13)}{50} - \frac{94}{50} = - 24.02[/tex]
[tex] \frac{9(11x - 13 - 94)}{50} = - 24.02[/tex]
[tex] \frac{99x - 117 - 94}{50} = - 24.02[/tex]
Step5: Simplifying
[tex] \frac{99x - 211}{50} = - 24.02[/tex]
[tex] 99x - 211 = - 24.02 \times 50[/tex]
[tex] 99x - 211 = - 1201[/tex]
[tex] 99x = - 1201 + 211[/tex]
[tex] 99x = - 990[/tex]
[tex] x = \frac{ - 990}{99} [/tex]
[tex]x = - 10[/tex]
Hence, the solution x=-10
Learn more about simplification here:
https://brainly.in/question/49393260
#SPJ10
Please answer the question down below!! <3
Answers
Answer:
4 inches
Step-by-step explanation:
In a regular pentagon, all sides are equal in length
This is my last question on my homework. pls help
Answers
Answer:
740
Step-by-step explanation:
$415-$230=$185
$185×0.25=740 max miles
Please answer BOTH the questions tyyyyyysm
Answers
C and A
X = at least 45 and more
This means we need to have a full closed dot.
It's A because the question says more than 75 ft meaning only open dots.
Jessica and Josh are selling Entertainment Books to raise money for the art room at their school. One book sells for $15. Jessica received the prize for selling the most books in the school. Jessica sold 15 times more books than Josh. Together they sold 256 books. How many did each one of them sell?
Answers
Jessica sells = 240 books,
Josh sells = 16 books.
Given:-The price of one book is = $15
Jessica sold 15 times more books than Josh.
In total, they have sold 256 books.
Solution:-We can easily find the answer using variables.
Let,
Josh sold a total of x books whereas Jessica sold a total number of 15x books.
together they sold 16x books.
So we can form the equation
16x= 256
by solving this equation we will get x=16
So, Josh sold 16 books and Jessica sold 16×15=240 books in total.
Answer:
Jessica=240
Josh=15
Step-by-step explanation:
Can you do this because it is confusing to me
Answers
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The volume of the cylinder is 1330.4644 cm³.
What is a cylinder?A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.
Given the height of the cylinder is 14 cm, while the diameter of the cylinder is 11 cm. Therefore, the volume of the cylinder can be written as,
The volume of the cylinder = (π/4)×(D²) × H
= (π/4)×(11)² × 14
= 1330.5 cm³
Hence, the volume of the cylinder is 1330.5cm³.
Learn more about Cylinder:
https://brainly.com/question/12248187
#SPJ1
Ms. Mather filled 8 3/4 gallons of gas in her car's fuel tank. The car used up 3 1/2 gallons when she visited a friend in a neighboring town. How many gallons of gas are left in Ms. Mather's fuel tank?
Answers
Answer: [tex]5\frac{1}{4}[/tex] gallons are left
Step-by-step explanation:
convert to mixed number...
[tex]8\frac{3}{4} = \frac{35}{4}[/tex]
[tex]3 \frac{1}{2} = \frac{7}{2}[/tex] or [tex]\frac{14}{4}[/tex]
[tex]\frac{35}{4} -\frac{14}{4}=\frac{21}{4}[/tex]
[tex]\frac{21}{4} =5\frac{1}{4}[/tex]
therefore, [tex]5\frac{1}{4}[/tex] gallons are left in Ms. Mather's fuel tank
Answer:
5 1/4 gallons are left... correct
ASAP AWNSER PLSSS!
Determine how far away the number -2 is from 0. Then, choose a positive number and a negative number that is each farther away from zero than is the number -2.
Answers
Answer:
it is 2 spaces away. a positive number from zero would be +2 and a negative number would be -2
Step-by-step explanation:
A random sample is selected from a population with mean = 100 and standard deviation = 10. Determine the mean and standard deviation of the x sampling distribution for each of the following sample sizes. (Round the answers to three decimal places.)
If N=41
If N=130
Answers
The mean and standard deviation of the x sampling distribution for each of the following sample sizes will be [tex]N(100,10/\sqrt{41} ), N(100,10/\sqrt{130} )[/tex].
What is the distribution of the sample mean for large samples?Suppose X has a distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma,[/tex]then,
the distribution of the mean of samples of size n, drawn from the values of X, is normally distributed with a mean equal to the mean of X, and a standard deviation equal to [tex]\sigma/\sqrt{n}[/tex]
Symbolically, we write it as:
[tex]X \sim N(\mu, \sigma) \implies \overline{X} \sim N(\mu,\sigma/\sqrt{n} )[/tex]
A random sample is selected from a population with a mean = of 100 and a standard deviation = of 10.
The mean and standard deviation of the x sampling distribution for each of the following sample sizes.
If N=41
[tex]X \sim N(100, 10) \implies \overline{X} \sim N(100,10/\sqrt{41} )[/tex]
If N=130
[tex]X \sim N(100, 10) \implies \overline{X} \sim N(100,10/\sqrt{130} )[/tex]
Learn more about standard normal distribution here:
https://brainly.com/question/10984889
#SPJ1
What system of equations would you use to solve the problem below?
A test is worth 100 points. Multiple-choice questions are worth 3 points and
short-answer questions are worth 5 points. If the test has 28 questions, how
many multiple-choice questions are there?
Answers
Let x be multiple-choice questions
Let y be short-answer questions
x + y = 28
3x + 5y = 100
What is the distance between the two end points in the graph below
Answers
Step-by-step explanation:
10 that's what my teacher told me
The larger of two consecutive integers is 7 greater than twice the smaller. Find the integers. ( 4, 5)( -8, -9)(-5, -6)
Answers
Answer:
(-5, -6)
Step-by-step explanation:
The smaller integer is x.
The larger integer is x + 1.
x + 1 = 7 + 2x
-x = 6
x = -6
x + 1 = -6 + 1 = -5
Answer: (-5, -6)
helpp me please
Find the missing term.
The roots of x2 − ( ) + 34 are 5 ± 3i.
Answers
Answer: 10
Step-by-step explanation:
The sum of the roots is [tex](5+3i)+(5-3i)=10[/tex], so the answer is 10