What is the length of segment DF?
B
4/28
1
68°
C
2
А A
2
3
8
4
68°
28°
F
5
Type your answer.
Answers
Answer:
DF = 17.12
Step-by-step explanation:
From the picture attached,
From ΔABC and ΔEFD,
m∠ABC = m∠EFD = 28°
m∠BAC = m∠EDF = 68°
By AA property of similarity, ΔABC and ΔEFD will be similar.
And their corresponding sides will be proportional.
[tex]\frac{AB}{EF}=\frac{BC}{DF}=\frac{AC}{ED}[/tex]
[tex]\frac{4}{EF}=\frac{BC}{DF}=\frac{2}{8}[/tex]
[tex]\frac{4}{EF}=\frac{1}{4}[/tex]
EF = 16
Now by applying cosine rule in ΔDEF,
DF² = ED² + EF² - 2(ED)(EF)cos(E)
DF² = 8² + (16)² - 2(8)(16)cos(84)°
DF² = 320 - 26.76
DF = √(293.24)
DF = 17.12
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Answer:
y=3x+3
Step-by-step explanation:
y=mx+b is slope intercept form
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Answers
Answer:
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Step-by-step explanation:
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50.8
52.4
53.6
Answers
Answer:
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Step-by-step explanation:
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Problem
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
putting values in the formula
T =
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Answer:
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Step-by-step explanation:
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Answers
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Answers
1, 2, 3, 6 ,9, 18
Are all factors of 18, making it not prime
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Answers
Answer:
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Equation for Mt. Winterpark Ski Resort:
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Step-by-step explanation:
Given that:
Initial snow at Snow Dome Ski Resort = 65 inches
Snowing rate at Snow Dome Ski Resort = 1 inch per hour
Initial snow at Mt. Winterpark Ski Resort = 74 inches
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Let the time in hours be represented by [tex]t[/tex].
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Snow increased in [tex]t[/tex] hours by snowing at Mt. Winterpark Ski Resort = [tex]\frac{1}{2}\times t = \frac{t}{2}[/tex] inches per hour
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[tex]I_s = 65+t[/tex]
Equation for Mt. Winterpark Ski Resort:
[tex]I_m = 74+\frac{t}{2}[/tex]
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After 19 hours, Snow dome will have more snow.
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Answer:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Answers
Answer:
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Step-by-step explanation:
Harriet used the work below to determine the percent equivalent to One-eighth.
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What was Harriet’s error?
In Step 1, she set up the proportions incorrectly.
In Step 2, she divided 8 by 100 instead of 100 by 8, so she cannot multiply the numerator by the factor.
In Step 3, she multiplied the numerator instead of the denominator by the factor.
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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She stayed at the library for 50 minutes.
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Answers
Answer:
She got home at 12:35 P.M.
Step-by-step explanation:
She got to the library at 10:30 am.
She spent 50 minutes there
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hope this helped!
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Answers
Answer:
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Answers
Answer:
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Step-by-step explanation:
Let cost per unit of electricity = x
and cost per unit of gas = y
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FOR BRAINLIEST! which expression is the simplest form of - (4x^3+x^2) + 2(x^3-3x^2)?
Answers
step by step
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
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Answers
Answer:
Probability =0.8854 (Approx)
Step-by-step explanation:
Given:
Mean μ = 100
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Computation:
Z at 70
Z = (70-100)/15
Z at 70 = -2
Z at 120
Z = (120-100)/15
Z at 100 = 1.33
Probability = φ(1.33) - φ(-2.0)
Probability = 0.9082-0.0228
Probability = 0.8854 (Approx)
40 subtracted from five times a number is 8 more than the number write the equation
Answers
Answer (let x be the number):
5x - 40 = x + 8
I hope this helps!
The number in the equation 5n - 40 + 8 = n is 8.
What is a numerical expression ?A numerical expression is formed by numbers and their operation.A numerical expression can also be constructed from given statements.
We can also construct numerical expression form real life scenarios.
According to to the question statement 40 subtracted from five times a number is 8 more than the number and we have to form an numerical expression.
Let the number be 'n'.
∴ 5n - 40 + 8 = n
5n - n = 40 - 8.
4n = 32.
n = 32/4.
n = 8.
learn more about numerical expression here :
https://brainly.com/question/14642484
#SPJ2
Let f(x) = 3x + 2 and g(x) = - 2x + 1 Find g(f(- 2))
is it
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b: 17
c: 0
d:9
Answers
Answer:
(d) 9
Step-by-step explanation:
f(x) = 3x + 2
g(x) = - 2x + 1
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75% is 4.5 cm
Answers
6 is your answer