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Ivan
3 years ago
14

-50 Points-

Mathematics
2 answers:
FrozenT [24]3 years ago
7 0

Answer:

10.3 miles

Step-by-step explanation:

lara31 [8.8K]3 years ago
6 0

Using the law of Tangents:

Tan(angle) = Opposite leg / Adjacent leg.

Using the provided information:

Tangent (61) = BC / 5.7

Solve for BC:

BC = 5.7 x tangent(61)

BC = 10.3 miles ( rounded to the nearest tenth).

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What is the equation of the line that is perpendicular to -2/5x-7 and passes through (4,-1)?
alukav5142 [94]

Step-by-step explanation:

maybe this is not the full expression, as you wrote the line equation in a funny way.

I understand the following :

the line is

y = (-2/5)×x - 7

perpendicular means crossing at a right angle (90 degrees).

the slope of the original line is -2/5.

as in every line equation, the slope is the factor of x. and it expresses the ratio y/x indicating the amount of units y is changing, when x changes a certain amount of units (e.g. when going from one point on the line to another).

the perpendicular slope turns the original y/x ratio upside-down, and also flips the sign.

so, it is 5/2.

the equation for the perpendicular line looks like

y = (5/2)×x + b

now what is b ?

for this we use the specified point on the line : (4, -1)

and we put these values as x and y into the equation :

-1 = (5/2)×4 + b = 5×2 + b = 10 + b

b = -11

and so, the full equation of the perpendicular line is

y = (5/2)×x - 11

3 0
2 years ago
The pyramid shown has a square base that is 32 centimeters on each side. The slant height is 24 centimeters. What is the lateral
masya89 [10]
L.S.A.=1/2pl where p represents the perimeter of the base and l the slant height.
L.S.A. = ½(4*32)(24)
L.S.A. = ½ (128)(24)
L.S.A. =1/2(3072)
L.S.A. = 1536 cm
6 0
3 years ago
Read 2 more answers
What is a plane in geometry
Wewaii [24]
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space. which would be the same in geo.
8 0
3 years ago
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What is the width of a rectangle prism with the length of 13 feet volume of 11,232 ft.³ and height of 36
vekshin1
To get the volume of a rectangular prism, you multiply the base times the height by the width, so to get the width you would divide 11,232 by 13 which is 864, then you divide that by 36 to get 24, so the width would be 24.
5 0
3 years ago
The figure below shows two half-circles at the ends of a rectangle with the dimension shown.
timurjin [86]

Answer:

D. 154

Step-by-step explanation:

The area of the rectangle is 15*5= 75 inches

The area of the 2 semicircles combined, which make a circle, are:

π*r², where r is 5

r²=25

π*25=78.53981633

75 + 78.53981633 is about 154

5 0
2 years ago
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