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Marat540 [252]
3 years ago
14

Just a few more word problems.

Mathematics
2 answers:
katovenus [111]3 years ago
8 0

Answer:

18,600

Step-by-step explanation:

>f(t) = 33,600 - 1500(t)

>f(10) = 33,600 - 1500(10)

>f(10) = 33,600 - 15000

>f(10) = 18,600

ANEK [815]3 years ago
7 0

Answer: 18600 feet

Step-by-step explanation:

f(t)=33600-1500t

f(t)=33600-1500(10)

f(t)=33600-15000

f(t)=18600

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C + d = 60<br> 2.5c + 1.75d = 123.75
likoan [24]

Answer:

  (c, d) = (25, 35)

Step-by-step explanation:

Multiply the first equation by 2.5 and subtract the second one:

  2.5(c +d) -(2.5c +1.75d) = 2.5(60) -(123.75)

  0.75d = 26.25 . . . . . . . . . simplify

  26.25/0.75 = d = 35 . . . . divide by the coefficient of d

  60 -d = c = 25 . . . . . . . . . use the first equation to find c

(c, d) = (25, 35)

3 0
2 years ago
A surveyor, Toby, measures the distance between two landmarks and the point where he stands. He also measured the angles between
vagabundo [1.1K]
What we know so far:
Side 1 = 55m
Side 2 = 65m
Angle 1 = 40°
Angle 2 = 30°

What we are looking for:
Toby's Angle = ?
The distance x = ?

We need to look for Toby's angle so that we can solve for the distance x by assuming that the whole figure is a SAS (Side Angle Side) triangle.

Solving for Toby's Angle:
We know for a fact that the sum of all the angles of a triangle is 180°; therefore,
180° - (Side 1 + Side 2) = Toby's Angle
Toby's Angle  = 180° - (40° + 30°)
Toby's Angle = 110°

Since we already have Toby's angle, we can now solve for the distance x by using the law of cosines r² = p²+ q²<span>− 2pq cos R where r is x, p is Side1, q is Side2, and R is Toby's Angle.
</span>
x² = Side1² + Side2² - 2[(Side1)(Side2)] cos(Toby's Angle)
x² = 55² + 65² - 2[(55)(65)] cos(110°)
x² = 3025 + 4225 -7150[cos(110°)]
x² = 7250 - 2445.44
x = √4804.56
x = 69.31m

∴The distance, x, between two landmarks is 69.31m
8 0
3 years ago
X^2 -18x +81=0 factor it
nasty-shy [4]

Answer:

x=9

Step-by-step explanation:

81 is the product of -9 & -9. -9-9=-18. Therefore, (x-9)^2=0, and you get that x=9.

6 0
3 years ago
Will some smart people help me out? :) 20 points
babymother [125]

Answer:

22.3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How do you simplify -4+(-1)-(-3)
Elanso [62]

Answer:-2

Explanation:

-4-1-(-3)

=-5-(-3)

=-2

Hope this helps :)

8 0
3 years ago
Read 2 more answers
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