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Juli2301 [7.4K]
3 years ago
13

Find the measure of the angle x to the nearest tenth. Please help ty!!!

Mathematics
1 answer:
den301095 [7]3 years ago
5 0

Answer:

Option A) 33.5 degrees

Step-by-step explanation:

The above is a right angled triangle, thus we can apply trigonometry.

<em>Above here the hypotenous is 58 units and opposite side to angle x is 32 units. </em>

sin(x) = \frac{opposite}{hypotenous} = \frac{32}{58} = 0.552

Thus,

x = sin^{-1}(0.552) = 33.5 degrees

Thus, the measure of angle x is 33.5 degrees, which means Option A is correct.

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Complete the recursive formula of the geometric sequence -0.6, 3, -15, 75, ...
lara [203]

Answer:

\boxed{Un = 3(-5)^{n - 2}}

Step-by-step explanation:

We know that

a = -0,6 = -\frac{3}{5} and r = \frac{3}{-0,6} = -5

.

So

Un = ar^{n - 1}

Un = (-\frac{3}{5} )(-5)^{n - 1}

Un = (3)(-5)^{-1}(-5)^{n - 1}

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3 years ago
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Please help me!
BaLLatris [955]

Answer:

a) 20 minutes

b) 36 km/h

c) 33.67 km

d) continuous driving without any stationary phases.

Step-by-step explanation:

by the way, speed is specified in distance per time unit. in your example as km/h. and that is how your write this.

not km/h¯¹. that would be wrong, as that would actually be km×h. but you can write e.g. km×h¯¹. that is the same as km/h.

between minutes 5 and 25 there is no progress in distance. so, for these 20 minutes the bus was stationary.

in the first 5 minutes the bus drove 7-4=3 km.

so, in 5 minutes 3 km. to determine the speed we need to calculate up to see, how many km would be have driven in a full hour (60 minutes). the same factor for the time has then to be applied also to the distance to keep the ratio unchanged.

5 × x = 60

x = 12

3 × 12 = 36

so, the speed in these first 5 minutes was 3 km/5 min.

or then in km/h : 36 km/h

between the minutes 25 and 45 the bus drove with a speed of 80km/h.

and the starting point there was at 7 km.

so, the bus drove s-7 km in 20 minutes.

as before, let's first find the scaling factor to deal with a full hour instead of only 20 minutes.

20 × x = 60

x = 3

as before : distance × scaling factor = distance for km/h

(s-7) × 3 = 80

3s - 21 = 80

3s = 101

s = 33.666666666... km

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It would be 100. If you divide 100/10, you get 10, multiply that by 9 and you’d get 90.
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