1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Karolina [17]
3 years ago
10

Of a triangle

Mathematics
1 answer:
arsen [322]3 years ago
7 0

Complete question is attached.

Answer:

a) ED = 6.5 cm

b) BE = 14.4 cm

Step-by-step explanation:

From the triangle, we are given the following dimensions:

AB = 20 cm

BC = 5 cm

CD = 18 cm

AE = 26 cm

We are asked to find length of sides ED and BE.

a) Find length of ED.

From the triangle Let's use the equation:

\frac{AB}{BC} = \frac{AE}{ED}

Cross multiplying, we have:

AB * ED = AE * BC

From this equation, let's make ED subject of the formula.

ED = \frac{AE * BC}{AB}

Let's substitute figures,

ED = \frac{26 * 5}{20}

ED = \frac{130}{20} = 6.5

Therefore, length of ED is 6.5 cm.

b) To find length of BE, let's use the equation:

\frac{AB}{AC} = \frac{BE}{CD}

Cross multiplying, we have:

AB * CD = AC * BE

Let's make BE subject of the formula,

BE = \frac{AB * CD}{AC}

From the triangle, length AC = AB + BC.

AC = 20 + 5 = 25

Substituting figures, we have:

BE = \frac{20 * 18}{25}

BE = \frac{360}{25} = 14.4

Therefore, length Of BE is 14.4cm

You might be interested in
Whats 109 divided by 27 and then simplify it
ioda

109/27 = 4.037037037

Uncertain on what exactly they want on simplified, here are a couple

Rounded (Hundredth) = 4.04

Rounded (Whole & tenth) = 4

8 0
3 years ago
2 Mini Lesson: A wireless phone plan costs Eric $35 for a month of service during which he sent 450 text messages. If he was cha
mafiozo [28]

9514 1404 393

Explanation:

From your knowledge of the world, you know that ...

  • the cost of multiple items is the sum of their individual costs
  • multiplication can be used for repeated addition
  • utility fees are the sum of fixed fees and usage-related fees
  • for a phone plan, text message costs are a usage-related fee

The problem statement asks for the cost of a single text message. For the purpose of finding that value, it is convenient to represent it using the variable <em>t</em>. The problem statement says Eric was billed for 450 text messages, so we expect his usage-related fee to be 450t, the sum of the costs of 450 messages--using multiplication for the repeated sum.

The problem statement says Eric was billed 12.50 for fixed fees. So, we expect Eric's total bill to be ...

  fixed fees + usage-related fees = 12.50 + 450t

The problem statement says Eric's total bill was 35.00, so we assume that is the sum of the above-listed fees. That is, the two ways to express Eric's total bill are equal.

  12.50 +450t = 35.00

4 0
3 years ago
Calculate the following limit:
aleksklad [387]
\lim_{x\to\infty}\dfrac{\sqrt x}{\sqrt{x+\sqrt{x+\sqrt x}}}=\\&#10;\lim_{x\to\infty}\dfrac{\dfrac{\sqrt x}{\sqrt x}}{\dfrac{\sqrt{x+\sqrt{x+\sqrt x}}}{\sqrt x}}=\\&#10;\lim_{x\to\infty}\dfrac{1}{\sqrt{\dfrac{x+\sqrt{x+\sqrt x}}{x}}}=\\&#10;\lim_{x\to\infty}\dfrac{1}{\sqrt{1+\dfrac{\sqrt{x+\sqrt x}}{x}}}=\\&#10;\lim_{x\to\infty}\dfrac{1}{\sqrt{1+\dfrac{\sqrt{x+\sqrt x}}{\sqrt{x^2}}}}=\\
\lim_{x\to\infty}\dfrac{1}{\sqrt{1+\sqrt{\dfrac{x+\sqrt x}{x^2}}}}=\\\lim_{x\to\infty}\dfrac{1}{\sqrt{1+\sqrt{\dfrac{1}{x}+\dfrac{\sqrt x}{\sqrt{x^4}}}}}=\\\lim_{x\to\infty}\dfrac{1}{\sqrt{1+\sqrt{\dfrac{1}{x}+\sqrt{\dfrac{x}{x^4}}}}}=\\&#10;\lim_{x\to\infty}\dfrac{1}{\sqrt{1+\sqrt{\dfrac{1}{x}+\sqrt{\dfrac{1}{x^3}}}}}=\\&#10;=\dfrac{1}{\sqrt{1+\sqrt{0+\sqrt{0}}}}=\\
=\dfrac{1}{\sqrt{1+0}}=\\&#10;=\dfrac{1}{\sqrt{1}}=\\&#10;=\dfrac{1}{1}=\\&#10;1&#10;

8 0
2 years ago
Which statement is true about the function f(x) = square root of x
BlackZzzverrR [31]

Answer:


Step-by-step explanation:

Correct choice is A


Step-by-step explanation:


Consider parent function  The domain of this function is  and the range of this function is


Thus, the function  has the domain  and the range


State the domain and the range of all given functions:


A. The domain:


B. The range:


C. The domain:


D. The range:  




Read more on Brainly.com - brainly.com/question/10648085#readmore

5 0
3 years ago
Describe how to write the null and alternative hypotheses based on a claim. Provide at least one example to clarify your explana
Umnica [9.8K]

Answer:

Step-by-step explanation:

The null and alternative hypothesis are usually used in hypothesis testing to present the claim being tested as give in terms of the mean or proportion :

Given that the mean score of high school students is 10 ; using a sample of 50 students, a mean of 8 was obtained ; we could want to test the claim that the mean score is less than 10.

Here; population mean, μ = 10 ; the claim is now that, μ < 10 based on what was observed about the sample.

H0 : μ = 10

H0 : μ < 10

If we wanted to test If the mean was greater than 10 ; then the sign is reversed

H0 : μ = 10

H0 : μ > 10

If we wanted to test If the score is just different from the mean score stated ; (it may be less than or greater than)

H0 : μ = 10

H0 : μ ≠ 10

7 0
3 years ago
Other questions:
  • translate into an equation and solve. what percent of 64 is 16? (do not round until the final answer. then round to two decimal
    7·1 answer
  • The radius of the large sphere is double the radius of the small sphere. How many times is the volume of the large sphere than t
    10·2 answers
  • the isosceles triangle has two sides of equal length, a, that sre longer than the length of the base ,b. the equation 2a+b=15.7
    12·1 answer
  • Find the product of 9^8*9^6
    8·1 answer
  • Tell me the answers
    15·1 answer
  • What is 33+x2 I need help now plz!!!
    7·1 answer
  • Please show me how you do this question
    13·2 answers
  • 14. Quadrilateral ABCD is located at A(2,0), B(3,-4), and C(7,-5). What are the
    5·1 answer
  • Show all ur steps for solving the following equation. <br> 6-12m=-30
    7·1 answer
  • What is the total cost of 1.2 cubic yards of soil if it sells for $24 per cubic yard ?​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!