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Andrews [41]
3 years ago
6

Using addition, subtraction, multiplication, division, exponents, grouping symbols, and at least one positive and negative numbe

r, make an expression equal to 10 (no repeating numbers)
Mathematics
1 answer:
tankabanditka [31]3 years ago
6 0

Answer:

2 + 3 (1) + (10 / 5)^2 + 7 - 6  = 10

Step-by-step explanation:

2 + 3 (1) + (10 / 5)^2 + 7 - 6

= 2 + 3 + (2)^2 + 7 - 6

= 2 + 3 + 4 + 7 - 6

= 10

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The amount spent on each tube is $18.5

The total amount spent to rent 15 tubes by the group is $277.50.

Since they did not specify in the question the types of tubes they rented, we cannot determine each types of tubes that the group rented but we can determine the amount spent on each tube provided that they are all the same types.

∴

if 15 tubes = $277.50

1 tube = $x

By cross multiplying:

\mathbf {\$(x) = \dfrac{ \$277.50 \times 1 \ tube }{15 \ tube}}

\mathbf {(x) = \$18.5}

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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,
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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°)
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∴The distance, x, between two landmarks is 69.31m
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