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
NISA [10]
2 years ago
15

Triangle EFG is an isosceles triangle with EG=EF. What is the approximate length of EF, and what is the approximate perimeter of

the triangle EFG? Round your answers to the nearest hundredth
The possible answers are


A. The approximate length of EF is 4.47 units, and the approximate perimeter of triangle EFG is 12.47 units


B. The approximate length of EF is 4.47 units, and the approximate perimeter of triangle EFG is 12.94 units.


C. The approximate length of EF is 4.58 units, and the approximate perimeter of the triangle EFG is 12.58 units.


D. The approximate length of EF is 4.58 units, and the approximate perimeter of triangle EFG is 13.16 units.

Mathematics
2 answers:
Vladimir [108]2 years ago
8 0

Answer: The answer is D.

Step-by-step explanation: EF=4.58 EG=4.58 FG=4

4.58x4.58+4+13.16

sineoko [7]2 years ago
7 0

Answer:

B. The approximate length of EF is 4.47 units, and the approximate perimeter of triangle EFG is 12.94 units.

Step-by-step explanation:

First step is to determine the length of EF, since that will give us 2 sides of the triangle (since EG = EF).

From the diagram, we can easily make a rectangle triangle by dropping a vertical line from vertex E, let's name Z the meeting point of that line with the segment GF.  Then we have a rectangle triangle EZF with a height of 4 and a base of 2, of which EF is the hypotenuse. So...

EF² = 4² + 2² = 16 + 4 = 20

EF = √20 = 4.47

Now that we have EF, we also have EG:

EF = 4.47

EG = 4.47

GF = 4 (visible on the graph)

Perimeter = 4.47 + 4.47 + 4 = 12.94 units.

You might be interested in
g The average midterm score of students in a certain course is 70 points. From the past experience it is known that the midterm
spayn [35]

Answer:

0.98 = 98% probability that the average midterm score of these students is at most 75 points.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The average midterm score of students in a certain course is 70 points.

This means that \mu = 70

29 students are randomly selected and the standard deviation of their scores is found to be 13.15 points.

This means that \sigma = 13.15, n = 29, s = \frac{13.15}{\sqrt{29}} = 2.44

Find the probability that the average midterm score of these students is at most 75 points.

This is the pvalue of Z when X = 75. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{75 - 70}{2.44}

Z = 2.05

Z = 2.05 has a pvalue of 0.98.

0.98 = 98% probability that the average midterm score of these students is at most 75 points.

8 0
3 years ago
X-1=5x+3x-8<br>help this confused child
alexira [117]
X-1= 5x+3x-8

Combine like terms
x-1= 8x-8

Our goal is to isolate x by cancelling out other numbers.
Subtract x from both sides
x-1-x= 8x-x-8
-1= 7x-8

Add 8 to both sides
7=7x

Divide both sides by 7
1=x

Final answer: x=1
4 0
3 years ago
Cuanto valen 75 sobres a $2,000 el cien?
sergey [27]
<span>Igual que el último.
Si es "$ 2,000 por 100 sobres, dividiremos 2,000 / 100 y obtendremos 20, luego multiplicaremos 20 por 75 y obtendremos" $ 1500 ".
 
Esta es la ecuación
 $ 2,000 / 100 = 20 x 75 = $ 1,500
 
Espero que esto ayude :-)</span>
7 0
3 years ago
Imena's math test scores are 83, 93, 78, 89, and 83. She has one more math test this semester. What score most she get on the te
marshall27 [118]
87 is the median because 83 and 87's average is 85.
8 0
3 years ago
Read 2 more answers
Devy likes to learn! Could someone please tell me how to answer this question?
Ronch [10]

Answer:

B

Step-by-step explanation:

Recall that if two functions, <em>f</em> and <em>g</em>, are inverses, then by definition:

\displaystyle f(g(x)) = g(f(x)) = x

Hence, the graph of f(g(x)) should be simply <em>y</em> = <em>x</em>.

Therefore, our answer is B, as both coordinates are equivalent for all three points.

4 0
3 years ago
Other questions:
  • The ratio of the measures of the angles in a triangle is 8:3:4 find the measures of the angles
    10·1 answer
  • What is 6,666,666×100
    5·1 answer
  • Evaluate: 3(2f - g) + 4h for f = 2, g = -1 and h = 3
    12·2 answers
  • George ate 2/ 3 of a container of Chinese food. Silvia ate 1/ 5 of the same container of Chinese food. What fraction of the cont
    14·1 answer
  • Round 47,250 to nearest thousand
    10·2 answers
  • HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
    14·2 answers
  • Plz help this is confusing
    7·1 answer
  • It also detects if you are right or wrong
    8·2 answers
  • What is the domain of the following function? What is the range? Explain how you know.
    11·1 answer
  • Directions: Divide the array in 2 smaller facts to help you fill in the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!