Question

Exercise 4 - the line (AC) is perpendicular to the line (AB) - the line (EB) is perpendicular to the line (AB) - the lines (AE) and (BC) intersect at D - AC = 2.4 cm; BD = 2.5 cm: DC = 1.5 cm Determine the area of triangle ABE.

273

likes
1367 views

Answer to a math question Exercise 4 - the line (AC) is perpendicular to the line (AB) - the line (EB) is perpendicular to the line (AB) - the lines (AE) and (BC) intersect at D - AC = 2.4 cm; BD = 2.5 cm: DC = 1.5 cm Determine the area of triangle ABE.

Expert avatar
Hermann
4.6
65 Answers
Identify the Right Angles: AC is perpendicular to AB EB is perpendicular to AB This implies that triangle ABC is a right triangle. Find Lengths: AC = 2.4 cm BD = 2.5 cm DC = 1.5 cm Use the Pythagorean Theorem in Triangle ABC: Using the Pythagorean theorem (a^2 + b^2 = c^2), we can find the length of AB. AC^2 + BC^2 = AB^2 (2.4)^2 + (2.5)^2 = AB^2 5.76 + 6.25 = AB^2 12.01 = AB^2 AB ≈ sqrt(12.01) AB ≈ 3.47 cm Calculate the Area of Triangle ABE: The area of a triangle is given by the formula: Area = (1/2) * base * height In this case, the base is AB and the height is DC. Area = (1/2) * AB * DC ≈ (1/2) * 3.47 cm * 1.5 cm ≈ 2.60 square cm The area of triangle ABE is approximately 2.60 square centimeters.

Frequently asked questions (FAQs)
What is the equation of a hyperbola that has its center at (2, -3), with a transverse axis of length 10 and a conjugate axis of length 6?
+
Math question: Graph the function y = 2^x, determining the y-values for x = -2, -1, 0, 1, and 2.
+
What is the period and range of the function f(x) = cot(x)? Additionally, find the coordinates of all vertical asymptotes and zeros of f(x).
+
New questions in Mathematics
A particular employee arrives at work sometime between 8:00 a.m. and 8:40 a.m. Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:40 a.m. Find the probability that the employee will arrive between 8:05 a.m. and 8:30 a.m. Round your answer to four decimal places, if necessary.
1 + 1
A software company incurs a cost of $50 per license sold plus $5,000 in fixed costs. How many licenses should you sell to minimize total costs?
Exercise 4 - the line (AC) is perpendicular to the line (AB) - the line (EB) is perpendicular to the line (AB) - the lines (AE) and (BC) intersect at D - AC = 2.4 cm; BD = 2.5 cm: DC = 1.5 cm Determine the area of triangle ABE.
Consider numbers from 1 to 2023. We want to delete 3 consecutive, so that the avarage of the left numbers is a whole number. How do we do that
Which of the following is the product of multiplying twenty-seven and twenty-five hundredths by nine and twenty-seven hundredths?
The beta of a company is 1,41 and its cost of equity 18,95%. What is then the market risk premium if the risk free rate is 0,94%? (in %, 2 decimal places)
4x-3y=24 and 5x-2y=9 solve by elimination
Determine the reduced equation of the straight line that is perpendicular to the straight line r: y=4x-10 and passes through the origin of the Cartesian plane
The price per night of a suite at the Baglioni Hotel in Venice is 1896 euros, VAT included. The VAT in Italy is 25%. The hotel gets a return of 10% out of the price VAT included. a) What is the amount of VAT paid by the hotel for one
In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24
A triangular window has a base of 6 ft. and a height of 7 ft. What is its area?
I. Order to add 40.25+1.31+.45 what is the first action to do ?
Find each coefficient described. Coefficient of u^2 in expansion of (u - 3)^3
Sections of steel tube having an inside diameter of 9 inches, are filled with concrete to support the main floor girder in a building. If these posts are 12 feet long and there are 18 of them, how many cubic yards of concrete are required for the job?
16.What payment (deposit) made at the end of each month will accumulate to $10473 in 13 years at 7.9% compounded monthly? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
1. A jeweler has two gold bars, with 80% purity and the other with 95% purity. How much of each must be melted to obtain a 5 kilo ingot with 86% purity?
A psychologist is investigating the levels of test anxiety in various university courses. Anxiety is measured on a scale ranging from 0 to 100, where 0 indicates the complete absence of anxiety and 100 represents an extreme level of anxiety. From the data obtained, it has been discovered that the psychology score is triple that of nursing, and in turn, the latter has a score 10 points lower than the nutrition major. Furthermore, the score in the veterinary degree is 15 points higher than that of nutrition. Finally, if we add the scores of all the races, we will obtain a total of 173 points. Pose the equation that represents the situation described in the previous problem and determine: What is the score that psychology obtained regarding its anxiety level before the exams?
Write the inequality in the form of a<x<b. |x| < c^2
-Please answer to the following questions: What is the price elasticity of demand? Can you explain it in your own words? What is the price elasticity of supply? Can you explain it in your own words? What is the relationship between price elasticity and position on the demand curve? For example, as you move up the demand curve to higher prices and lower quantities, what happens to the measured elasticity? How would you explain that? B-Assume that the supply of low-skilled workers is fairly elastic, but the employers’ demand for such workers is fairly inelastic. If the policy goal is to expand employment for low-skilled workers, is it better to focus on policy tools to shift the supply of unskilled labor or on tools to shift the demand for unskilled labor? What if the policy goal is to raise wages for this group? Explain your answers with supply and demand diagrams. Make sure to properly cite and reference your academic or peer-reviewed sources (minimum 2).