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astraxan [27]
3 years ago
14

What is the slant height x of this square pyramid? (Express your answer in radical form.)

Mathematics
1 answer:
Kitty [74]3 years ago
8 0
This is a 30,60,90° triangle where the hypotenuse is equal to 4 meters and the slant height is opposite the 60° angle

The ratios of the sides and their opposite angle for this type of triangle are:

1,30°, √3, 60°, and 2, 90° so the relationship we need is:

x/4=√3/2  multiply both sides by 4

x=2√3
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6-3q < 1 choose all answers that apply
AysviL [449]

Answer:

q>5/3

Step-by-step explanation:

8 0
3 years ago
Mai solved the equation incorrectly. Identify and explain Mai’s error.
Ivanshal [37]
YOU CANNOT ADD OR SUBTRACT FRACTIONS WITH DIFFERENT DENOMINATORS!! You need to find the LCD (Lowest Common Denominator) for 6 and 2 with is 6!!
(CORRECTED WORK SHOWN BELOW)

8 0
2 years ago
Classify the triangle with the given side lengths as acute, right, obtuse, or not a triangle:
slavikrds [6]

Answer:

It is not a right triangles because 15^2 + 13^2 is NOT EQUAL to 19^2

let x, y, and z be the angles inside the triangle.

Law of cosines says:

19^2 = 13^2 + 15^2 - 2(13)(15)cos x

361 = 169 + 225 - 390 cos x

-33 = -390 cos x

-33/-390 = cos x

11/130 = cos x

x = inverse cosine (11/130)

= 85.14609471338569.....

Per law of sines:

sin x/19 = sin y / 13

(13/19)sinx = sin y

inverse_sine ( (13/19) sin x) = y

y = 42.9810733896016548....

Per law of sines

sin x/19 = sin z / 15

z = inverse_sine( (15/19) sin x)

= 51.8728352950227805....

So it is an acute triangle and yes, these angles add up to 180

8 0
3 years ago
Read 2 more answers
the functions of f and g are given by f(x)=6x+8and g(x)=x-2 over 3. An expression for gf(x) in its simplest form
dmitriy555 [2]

Answer:

gf(x) = (6x+6)/3

Step-by-step explanation:

replace f(x) in x on g(x)..then you get the answer

4 0
3 years ago
A linear function contains the following points (0,-1) (3,8)
AlekseyPX
The answer is d.
to find the slope you can do y2-y1/x2-x1
8-(-1)/3-0= 9/3 or 3
you can then put one of the points into the slope intercept form y=mx+b or 8=3(3)+b
you get 8=9+b. you subtract 9 from both sides to get -1=b. y intercept means that the point is (0,-1)
3 0
3 years ago
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