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Lemur [1.5K]
3 years ago
13

Solve the formula d = rt for t. A. t = rd B. t = d – r C. t = D. t =

Mathematics
2 answers:
nikdorinn [45]3 years ago
5 0

Answer:

d/r =t

Step-by-step explanation:

d =rt

Divide each side by r

d/r = rt/r

d/r =t

tekilochka [14]3 years ago
3 0

rt=d\qquad\text{divide both sides by}\ r\neq0\\\\\dfrac{rt}{r}=\dfrac{d}{r}\\\\\boxed{t=\dfrac{d}{r}}

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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
I need help plz<br> find the constant rate
iragen [17]

Answer:

- 5 °F/h

Step-by-step explanation:

the constant rate = slope = rise / run = -5/1 = - 5 °F/h

4 0
3 years ago
44 is what percent of 52?<br> please help
Andrews [41]

Answer:

44% of 52

44/100 ×52

22.88

4 0
3 years ago
What is 15-5(4x-7)=50
katovenus [111]

Simplifying

15 + -5(4x + -7) = 50


Reorder the terms:

15 + -5(-7 + 4x) = 50

15 + (-7 * -5 + 4x * -5) = 50

15 + (35 + -20x) = 50


Combine like terms: 15 + 35 = 50

50 + -20x = 50


Add '-50' to each side of the equation.

50 + -50 + -20x = 50 + -50


Combine like terms: 50 + -50 = 0

0 + -20x = 50 + -50

-20x = 50 + -50


Combine like terms: 50 + -50 = 0

-20x = 0


Solving

-20x = 0


Solving for variable 'x'.


Move all terms containing x to the left, all other terms to the right.


Divide each side by '-20'.

x = 0.0


Simplifying

x = 0.0

5 0
3 years ago
Write the series 1-0.5-2+ ... for 12 terms using summation notation
lions [1.4K]

Answer:

The series

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Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given series  1 -0.5 -2 +.........

we know that the sum of the sequence is called a series

The sequence is 1, -0.5, -2, -3.5,.....is in AP

a = 1 and the difference between the two terms is equal 'd' = -1.5

<u><em>Step(ii):-</em></u>

<u><em>adding 1.5 value of each term</em></u>

The series

            1 -0.5-2-3.5 -5-6.5-8-9.5-11-12.5-14-15.5 upto 12 terms

<u><em></em></u>

5 0
3 years ago
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