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alexandr1967 [171]
2 years ago
5

A tree 40 feet high casts a shadow 58 feet long. Find the measure of the angle, to the nearest degree, of

Mathematics
1 answer:
Aleonysh [2.5K]2 years ago
5 0

Answer:

39 degrees

Step-by-step explanation:

Right triangle

40 ft tree = opposite side

50 feet = adjacent side

tan (angle) = opp / adj = 40 /50

arctan (40/50) = 38.66 degrees ~ 39 degrees

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A 30-mile segment of road needs to be paved. 6 miles have already been completed. The paving crew can complete 3 miles of paving
wariber [46]

Answer: 8 days

Step-by-step explanation:

6 miles has been paved already.

Number of miles left = 30 - 6

= 24 miles

If they are paving at 3 miles a day, the days they will take to finish is:

= 24/3

= 8 days

5 0
2 years ago
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What is the slope of this graph?
liq [111]
Umm no you need to do your own work and do not be asking for answers
Nothing is handed to you ....you need to work HARD to get what you want.
6 0
3 years ago
Which expression represents the distance, in miles, between Paige's house and Diego's house?
lana [24]
Distance between <span>Paige's house and Diego's house 
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|3 - (-8)| = |11| = 11 miles

answer
</span>|3 - (-8)|
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3 years ago
Find the measure of the interior angles.
nexus9112 [7]
Interior angles of a triangle should always add up to 180.
180-154=26
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6 0
2 years ago
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The line tangent to the graph of g(x) = x^{3}-4x+1 at the point (2, 1) is given by the formula
Usimov [2.4K]

well, about A and D, I just plugged the values on the slope formula of

\bf \begin{array}{llll} g(x)=x^3-4x+1\\ L(x) = 8(x-2)+1 \end{array} \qquad \begin{cases} x_1=1.9\\ x_2=2.1 \end{cases}\implies \cfrac{f(b)-f(a)}{b-a}

for A the values are 8.01 and 8.0, so indeed those "slopes" are close. \textit{\huge \checkmark}

for D the values are -2.25 and 8.0, so no dice on that one.

for B, let's check the y-intercept for g(x), by setting x = 0, we end up g(0) = 0³-4(0)+1, which gives us g(0) = 1.

checking L(x) y-intercept, well, L(x) is in slope-intercept form, thus the +1 sticking out on the far right is the y-intercept, so, dice. \textit{\huge \checkmark}

for C, well, the slope if L(x) is 8, since it's in slope-intercept form, the derivative of g(x) is g'(x) = 3x² - 4, and thus g'(0) = -4, so no dice.

for E, do they intercept at (2,1)?  well, come on now, L(x) is a tangent line to g(x), so that's a must for a tangent. \textit{\huge \checkmark}

for F, we know the slope of the line L(x) is 8, is g'(2) = 8?  let's check

recall that g'(x) = 3x² - 4, so g'(2) = 3(2)² - 4, meaning g'(2) = 8, so, dice. \textit{\huge \checkmark}

6 0
3 years ago
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