The answer is B. It is an acute triangle because of 22^2 + 51^2 > 54^2. To identify the type of triangle referred to the problem, we use the Pythagorean Theorem which involves squaring the lengths of all sides of the triangle. If the hypotenuse’s square is less than the two smallest sides' squares added together, than it is an acute triangle. However, if the hypotenuse’s square is larger, then it is an obtuse triangle.
54 is the hypotenuse since it is the longest side.
Following the Pythagorean Theorem, a^2 + b^2 = c^2:
54^2=2916
51^2=2601
22^2=484
It becomes 2601+484 = 2916.
When the two shorter sides are added, the sum is greater than the square of the hypotenuse which is 2916. Thus, the formed triangle is acute.
Answer:
B
Step-by-step explanation:
3. Use the description of each triangle to draw a picture of the triangle. Write and solve equations to find missing angle measures when necessary. Label the measures of all angles of the triangle and mark congruent sides and right angles. (You do not need to draw the triangle exactly to scale.) (a) right isosceles triangle (b) equiangular (all three angles congruent) isosceles triangle (c) acute scalene triangle with two angle measures of 57° and 82°
here Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0).
y − 4 = −one half(x + 6)
y − 4 = 2(x + 6)
y + 6 = −one half(x − 4)
y + 6 = 2(x − 4)
Question 2 (Multiple Choice Worth 2 points)
Given the equation y − 3 = one half(x + 6) in point-slope form, identify the equation of the same line in standard form.
x − 2y = −12
y = one halfx
y = one halfx + 6
y = one halfx + 9
Question 3 (Multiple Choice Worth 2 points)
Given the equation y − 4 = three fourths(x + 8) in point-slope form, identif
Ribbon candy costs 2.50 per foot how many feet can you buy if you have 11.25
Solution :
Given that , Ribbon candy costs 2.50 per foot.
To calculate the length of Ribbon candy you can buy with 11.25, first you need to calculate the length of Ribbon candy you can buy with 1.
Solving it by Unitary Method,
In 2.50 you can buy 1 foot Ribbon candy,
In 1 you can buy [tex] \frac{1}{2.50} [/tex] foot Ribbon candy,
So, In 11.25 you can buy [tex] \frac{1}{2.50} \times 11.25 =4.5 [/tex]
Hece , In 11.25 you can buy 4,5 foot of ribbon candy.
5. given no other restrictions, what are the domain and range of the following funtction? f(x)=x^2-2x+2 if your in connexus and have done the algebra 2 final could you give me the awnsers
Working together, it takes two roofers 10 hours to put a new roof on a portable classroom. if the first roofer can do the job by himself in 12 hours, how many hours will it take the second roofer to do the job by himself?
Number of hours the second roofer to do the job by himself is 60 hours.
Given that, working together, it takes two roofers 10 hours to put a new roof on a portable classroom.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Working together 1/10 roofs per hour
First roofer 1/12 roofs per hour
So, equation is x + 1/12 = 1/10
x = 1/10 - 1/12
= 6/60 - 5/60 = 1/60
Together, they work 1/60 + 1/12
= 1/60 + 5/60
= 6/60 = 1/10
Therefore, number of hours the second roofer to do the job by himself is 60 hours.
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https://brainly.com/question/14686792.
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A stadium can seat 46,000 people for a baseball game. One day, 49,442 people attended a game. How many people had to stand because they did not have a seat? 3. Draw a picture or a chart that shows the information and the question
More than 450 students traveled to a state park for a field trip. The school allowed 6 students to travel by car, and the rest traveled on 11 buses, each of which held the same number of students. If there were S students in each bus, which inequality best represents this situation?
19) What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with f(x) + 3?
A) shifts the line 3 units up
B) shifts the line 3 units down
C) increases the slope of the line by a factor of 3
D) decreases the slope of the line by a factor of 3
What is the simplified form of 8b^3c^ 2a + 4b^3c^2?
What is the formula of quadratic equations?
Final answer:
The quadratic formula is used to find the solutions of quadratic equations. It is x = (-b ± √(b² - 4ac)) / (2a). The discriminant determines the nature of the solutions.
Explanation:
The formula for quadratic equations is:
x = (-b ± √(b² - 4ac)) / (2a)
Quadratic equations are equations of the form ax² + bx + c = 0. The quadratic formula is used to find the solutions or roots of these equations. The discriminant, b² - 4ac, determines the nature of the solutions: if it is positive, there are two real solutions; if it is zero, there is one real solution; and if it is negative, there are two complex solutions.
The perimeter of a rectangle is 256 inches. How long are the sides if the length exceeds the width by 16 inches? mark X represent the width of the rectangle and write the Equation 2X +2(x+16)=256. Solving for X the width of the rectangle is what
You have 10 cups of a cleaning solution that is 10% white vinegar and 90% water. You want the mixture to be 50% white vinegar and 50% water. How many cups of white vinegar do you need to add to the mixture?
To change a mixture that is 10% vinegar and 90% water to a 50-50 mixture, one would have to add 8 more cups of vinegar. This is because there are already 9 cups of water in the 10 cup solution, so adding 8 more cups of vinegar will total to 9 cups of vinegar and 9 cups of water.
Explanation:This question can be tackled using a simple mathematical approach. You already have a mixture that is 10% vinegar and 90% water, which means you have 1 cup of vinegar in your 10 cups of solution (because 10% of 10 cups is 1 cup). To get a 50-50 mixture, you also need the amount of water to equal the amount of vinegar. Since you already have 9 cups of water in the solution, you need to add 8 more cups of vinegar to balance it out and get a 50% solution. So you'll need to add 8 cups of white vinegar to your mixture in order to attain a balance of 50% vinegar and 50% water.
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Mickey is 40 years old and has his retirement savings in a 401(k). If he makes $55,000 annually, what is the maximum percentage of his income that he can contribute to his 401(k) plan per year? (The current maximum contribution limit is $16,500.)
Answer:
30%.
Step-by-step explanation:
We have been given that Mickey makes $55,000 annually and the current maximum contribution limit to 401(k) plan is $16,500. We are asked to find the maximum percentage Mickey can contribute of his 401(k) plan.
To find the maximum contribution percentage, we need to figure out $16,500 is what percent of $55,000.
[tex]\text{The maximum contribution percentage}=\frac{\$16,500}{\$55,000}\times 100[/tex]
[tex]\text{The maximum contribution percentage}=0.30\times 100[/tex]
[tex]\text{The maximum contribution percentage}=30\%[/tex]
Therefore, Mickey can contribute 30% of his annual income to his 401(k) plan at maximum.
Given quadrilateral RSTU, determine if each pair of sides (if any) are parallel and which are perpendicular for the coordinates of the vertices.
R(1, -3), S(4, -1), T(2, 2), U(-4, -2)
Click on the graphic to complete the answer.
Jamal wrote the following statements: Statement 1: Perpendicular lines are two lines that intersect at 90° angles. Statement 2: All right angles are congruent. Which geometry term does each statement represent?
PLEASE URGENT MATH HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
In the figure, YX−→− and YZ−→− are tangents to circle A at points X and Z, respectively.
mXZ=140∘
mXSZ=220∘
What is the measure of ∠XYZ ?
Dilation dv, 2/5 (look at picture) was performed on a rectangle. How does the image relate to the pre-image? Check all that apply. (i included picture of the above dilation because i wasnt sure if it would be helpful)
A. The image is a reduction because n < 1.
B. The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image.
C. The angles of the image are two-fifths the size of the angles of the pre-image.
D. The center of dilation is at point Q.
E. The base of the image is two-fifths the size of the base of the pre-image.
Answer:
Dilation =[tex]\frac{2}{5}[/tex] was done on a rectangle.
→As Factor of Dilation is 0.4, which is less than 1.
→So, the image will be smaller in size than Pre image.
→As, the two rectangles , Pre image and image are similar so their sides will be proportional.
As in similar figures the interior angles are congruent.
As the images are similar , so Base of the image will be two fifths of the size of the base of preimage.
Option A,B and E are Correct.
A: The image is a reduction because n < 1.
B : The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image.
E. The base of the image is two-fifths the size of the base of the pre-image.
Using the graph below, calculate the average rate of change for f(x) from x = 2 to x = 6.
exponential function going through points 2, 2 and 6, 6
−4
−1
1
4
Answer:
The average ate of change for f(x) from x=2 to x=6 is one, (1). Also seen as choice c.
Step-by-step explanation:
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
What is the factored form of the following expressions x^2-100xy+24y^2
The number 12,089 is?
< 12,098.
= 12,098.
> 12,098.
Or none of these is correct
Final answer:
The numbers 12,089 is less than 12,098, as determined by comparing the ones place of each number., hence the correct option is A
Explanation:
The student asks for the correct comparison between the numbers 12,089 and 12,098. To generate an accurate answer, we compare the digits from left to right.
Since the thousands, hundreds, and tens places are the same, we look at the ones place to determine which number is greater. Comparing the ones digits, we see that 9 (in 12,098) is greater than 8 (in 12,089), therefore 12,089 is less than 12,098.
The correct answer is:
12,089 < 12,098.
So I just wanna see if I got this one correct my question is.... Each volume of an encyclopedia is 2 1/3 inches wide. How many volumes will fit on a shelf 18 inches wide?
A similarity transformation maps ABC to JKL. The measure of of preimage ABC is 105°. The scale factor of the dilation in the similarity transformation is 1.5. If in the preimage corresponds to in the image, what is m?
Rugs sell for $8 per square foot. Beth bought a 9-foot-long rectangular rug for $432. How wide was the rug?
"which answer is not a theorem or postulate used to prove triangles' similarity?"
in simple words it is SSA
Hi, can somebody please help me with this problem? Thank you.
Ms. Gartland bought x number of shirts for the new members of her chorus. The cost for the x number of shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25. There was no sales tax on this purchase. Write an equation that can be used to find x.
What is the scale factor used to create the dilation?
A: 1/2
B: -1/2
C: 2
D: -2
What do you need to do to solve x/6=18
write the number 0.5 in the form a/b using integers to show it is a rational number
A.5/11
B.5/10
C.5/100
D.2/1
Answer:
The correct option is B.
Step-by-step explanation:
The given number is 0.5.
If a number can be defined as a/b where b≠0, then it is called a rational number.
We need to rewrite the given number in the form of a/b using integers.
Multiply and divide the given number by 10 to remove the decimal from the given number.
[tex]0.5\times \frac{10}{10}[/tex]
On simplification we get
[tex]\frac{0.5\times 10}{10}[/tex]
[tex]\frac{5}{10}[/tex]
Here a=5 and b=10 both are integers.
The given number 0.5 is a ration number because it can be written as 5/10.
Therefore the correct option is B.