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bonufazy [111]
3 years ago
11

Help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Ghella [55]3 years ago
5 0

Answer:

  4.7 yd

Step-by-step explanation:

The horizontal lines in the diagram are parallel, so the angle of depression at D and the angle of elevation at F are congruent. So, you have a right triangle with the measure of one acute angle (F) and the length of the adjacent side (EF = 10 yd). You are being asked to find the opposite side (DE).

The mnemonic SOH CAH TOA reminds you of the necessary relation:

  Tan = Opposite/Adjacent

Filling in the given information, you have ...

  tan(25°) = DE/(10 yd)

Multiplying by 10 yd gives ...

  (10 yd)tan(25°) = DE ≈ 4.663 yd ≈ 4.7 yd

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Evaluate the sine of angle X for the right triangle below.
bezimeni [28]

Answer:

\frac{7}{25}

Step-by-step explanation:

sinx = \frac{opposite}{hypotenuse}

The hypotenuse = 25 since 7, 24, 25 ← Pythagorean triple

Hence

sinx = \frac{7}{25}

6 0
4 years ago
-2xy5 + 3x? – 10x3y6 + 8x6+ 4
strojnjashka [21]

Answer:

1. polynomial has 5 terms

4 0
3 years ago
Given xy = 4 and x2 + y2 = a, which expression is equal to (x + y)2?<br> a + 6<br> a + 8<br> a + 4
likoan [24]

Answer:

a + 8

Step-by-step explanation:

Note that

(x + y)² = x² + 2xy + y²

           = x² + y² + 2xy

           = a + 2(4) = a + 8

6 0
3 years ago
Year 1978 1979 1980 1990 1991 1996 1997 2007 2008 2009 Minimum hourly wage ($) 2.65 2.90 3.35 3.80 4.25 4.75 5.15 5.85 6.55 7.25
Juliette [100K]
From the excel plotting, we see that the least square regression equation is given by:
m=(7.25-2.65)/(2009-1978)
m=0.15
thus the equation will be:
0.15(x-0)=y-2.65
y=0.15x-2.65

b] Using the equation we can approximate the hourly wage in 2025 as follows:
x=(2025-1978)=47
y=0.15(47)-2.65
y=7.05-2.65
y=4.4
The plot is as shown in the figure:


7 0
3 years ago
Please help i need this done soon!!
frosja888 [35]

Answer:

f(2) = -2

Step-by-step explanation:

plug in 2 to wherever x is in this statement:

f(2) = -2(2^2) - 2(2) + 10

f(2) = -2(4) - 4 + 10

f(2) = -8 - 4 + 10

f(2) = -2

5 0
3 years ago
Read 2 more answers
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