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ahrayia [7]
3 years ago
9

HELP

Mathematics
1 answer:
lord [1]3 years ago
6 0

Answer:

32 yards

Step-by-step explanation:

Carmen walked 30 yards due North and 12 yards West.

Now, if we join the initial and final position of Carmen and in this path Carmen comes back to her original position then the path, traveled by Carmen will form a right triangle and the direct path from her initial point to final point will be the hypotenuse of the right triangle.

Now, the two perpendicular legs of the triangle are respectively 30 yards and 12 yards.

Therefore, Carmen travel (Applying Pythagoras Theorem) to get back to her initial position by \sqrt{30^{2} + 12^{2}} = 32.31 yards ≈ 32 yards (to the nearest yard). (Answer)

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a box has a length of 15 centimetres , a width of 22 centimetres, and a height of 9 centimetres.what is the surface area of the
zzz [600]

Answer:

1326 cm²

Step-by-step explanation:

1) Identify the equation of the surface area of a rectangular prism

       A = 2(wl + wh + hl)

2) Input the corresponding values l=15 cm; w=22 cm; and h=9 cm into the equation, and solve for the area

       A=2(wl+wh+hl)\\A=2((22)(15)+(22)(9)+(9)(15))\\A=2(330+198+135)\\A=2(663)\\A=1326 cm^{2}

3) ∴ A=1326cm^2

5 0
2 years ago
How to answer this problem
tangare [24]
<2= 30 degrees since its vertical to the 4th angle.
<1=150 degrees
<3=150 degrees

since angle 3 and the 4th angle are supplementary, which means both angles equal 180 degrees, angle 3 equals 150 degrees.

since angle 3 is vertical to angle 1 it's also 150 degrees since they're congruent.
4 0
3 years ago
If x=3 what is the value of y in this equation?
inn [45]

Answer:

\displaystyle \large{y=36}

Step-by-step explanation:

We are given the equation \displaystyle \large{y=12x}. To find y-value when or at x = 3, simply substitute x = 3 in which gives us \displaystyle \large{y=12(3)} then evaluate the value as we obtain the y-value or final answer to the question:

\displaystyle \large{\boxed{y=36}}

If you have any questions about this question or for clarification, do not hesitate to ask in comment!

6 0
2 years ago
Read 2 more answers
Jared is creating a flower garden in the shape of a triangle. which could be the dimensions of the garden in feet
a_sh-v [17]

Answer:

B- 3 by 7 by 9 is the only right answer.

Step-by-step explanation:

What is a triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted.

Basic rule:

A triangle must be tri-sided, means it must have three sides which is only possible if the sum of the smaller two sides is greater than the third side. Otherwise, a triangle is not physically possible.

A- 2+3 = 5 hence not a triangle.

B- 3+7 > 9 hence a triangle.

C- 4+5 < 9.5 hence not a triangle.

D- 5+6 < 12 hence not a triangle.

3 0
3 years ago
Enter the values for the highlighted variables that show how to subtract the rational expressions correctly:
LenKa [72]

Answer:

a = 6

x^2 + 6x is equal to x(x+6)

b=2

Denominator and numerator of the first term are multiplied by x. 

c=6

Second term is multiplied by (x-6)/(x-6)

d=2

Now that they have the same denominator, the two terms are combined. 2 is the coefficient of the first term

e=6

In the same way as d is carried over from b, e is carried over from c. 

f = 6

2x - x + 6 = x + 6

g = 1 

We factor out the (x+6) from the numerator and denominator

6 0
3 years ago
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