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zalisa [80]
3 years ago
9

Which of the following constructions is this?

Mathematics
2 answers:
ohaa [14]3 years ago
8 0

Answer:

acute hope it helps

Step-by-step explanation:

mark as brainiest

juin [17]3 years ago
5 0

Construction of 30° acute angle

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While visiting Wallawulla State​ Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa
katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x  - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135   - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

4 0
3 years ago
2m·4b−3a·2n−0.2b·5m+n·5a−5bm+8an
cupoosta [38]

Answer:

2bm + 7an

Step-by-step explanation:

Multiply.

8bm - 6an - bm + 5an - 5bm + 8an

Combined like terms:

8bm - <em>6an</em> - bm + <em>5an</em> - 5bm + <em>8an</em>

= 2bm + 7an

8 0
3 years ago
Through (-1,5) , perp to y =1/9x+2 write the slope intercept form for the equation
ycow [4]

Answer:

y=-9x-4

Step-by-step explanation:

Perpendicular lines meet the following condition:

m2*m1= -1 (a)

where m is the slope of a line

m1 is given through equation of line 1, y =1/9 x+2

m2 must be -9 -> from eq. (a)

The Line has the following equation: y=mx+b, where m=-9 and the b is the interception with y axis.

Evaluating the above equation in (-1,5) we have the following equation

5= -9*(-1)+b, we have b=-4

The line has the following equation

y=-9x-4

Slope intercept form

4 0
2 years ago
Read 2 more answers
A tug boat traveled -15 miles in 0.3 hours what was its velocity
GenaCL600 [577]

Answer:

22.35 m/s

Step-by-step explanation:

The distance is always a positive unit, so distance traveled (d) = 15 miles

Time (t) = 0.3 hours

Time (t) = 0.3 * 60 = 18 minutes

(1 hour = 60 minutes)

Velocity (v) = ?

The formula of distance is: d = v*t

=> v = d/t = 15/18 = 0.83 miles/minute

we can also calculate velocity is meter/sec, for that

1 minute = 60 sec

=> 18 mins = 18*60 = 1080 sec

1 mile = 1609.34 meters

=> 15 miles = 15 * 1609.34 = 24,140 m

hence,

v = 24,140/1080 = 22.35 m/s

4 0
2 years ago
What is 3 1/3 *2/3?​
Molodets [167]

Answer:2 2/9

Step-by-step explanation:

3 1/3= 10/3, 10/3 x 2/3= 20/9= 2 2/9

6 0
2 years ago
Read 2 more answers
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