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3 years ago

Help me please i don't understand

Mathematics

1 answer:

dolphi86 [110]3 years ago

3 0

The depth of the water at the deepest point in the waterslide and to the nearest hundredth of a meter is approximately 0.19 meters. (Correct choice: A)

<h3>How to determine the depth of the water in a waterslide</h3>

In this question we should apply the concepts of right triangles and trigonometric functions to determine the height of the water within the waterslide. A geometric diagram of the cross section of the waterslide is presented below, which indicates the existence of circular symmetry.

Now we proceed to determine the height of the water:

cos α = (0.5 m/0.75 m)

α ≈ 48.190°

y = (0.75 m) · sin 48.190°

y = 0.559 m

x = 0.75 m - 0.559 m

x = 0.191 m

The depth of the water at the deepest point in the waterslide and to the nearest hundredth of a meter is approximately 0.19 meters. (Correct choice: A)

To learn more on trigonometry: brainly.com/question/22698523

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in the xy -plane above, point c has coordinates (6 , 9). which of the following is an equation of the line that contains points

iren [92.7K]

What are the coordinates for point o?

6 0

3 years ago

Determine the factors of x2 − 7x − 10.

KIM [24]

Hey there!

We could try to factor this trinomial by splitting up the middle term. We do this by multiplying the coefficient of the first term, 1x², by the constant, –10. This will get us –10. Next, you would have to find two factors of –10 that add up to the coefficient of the middle term, which is –7.

Factors of –10:

–10 + 1 = –9
–5 + 2 = –3
–2 + 5 = 3
–1 + 10 = 9

As you can see, no factors of –10 add up to –7. Therefore, this trinomial is prime. In other words, you could only get this trinomial by multiplying it by 1 to get itself.

Hope this helped you out! :-)

3 0

3 years ago

Given that k-5, k+7, k+55 are three consecutive terms in a geometric sequence, solve for k

choli [55]

Answer:

$k = 9$

Step-by-step explanation:

Given:

Consecutive Terms: k-5, k+7, k+55

Required:

Determine the value of k

To do this, we make use of the concept of common ratio.

The common ratio (r) of a geometric sequence is:

$r = \frac{T_{n}}{T_{n-1}}$

In other words:

$r = \frac{T_3}{T_2} = \frac{T_2}{T_1}$

Where 1, 2 and 3 represents the terms of the progression/sequence

So:

$r = \frac{T_3}{T_2} = \frac{T_2}{T_1}$ becomes

$\frac{k+55}{k+7} = \frac{k+7}{k-5}$

Cross Multiply:

$(k+55)(k-5) = (k+7)(k+7)$

Open Brackets

$k^2 + 55k - 5k - 275 = k^2 + 7k + 7k + 49$

$k^2 + 50k- 275 = k^2 + 14k + 49$

Collect Like Terms

$k^2 - k^2 + 50k-14k = 275 + 49$

$36k = 324$

Solve for k

$k = 324/36$

$k = 9$

5 0

4 years ago

Town P and Town Q are 80 km apart. A train travels from P to Q at an average speed of 120 km/h, waits, and travels from Q back t

damaskus [11]

Answer:

7 minutes 48 seconds.

Step-by-step explanation:

Average speed for the whole journey is

distance / time, so

105 = (2*80)/ (t + t2)

where t is the time when it is moving and t2 is the time it stays at town Q.

Time for journey P to Q

= distance / speed

= 80 /120

= 2/3 hours,

Time for journey Q to P

= 80/110

= 8/11 hours

So t = 2/3 + 8/11

= 46/33 hours.

- and substituting in the equation for the whole journey:

160 / (46/33 + t2) = 105

105*46/33 + 105*t2 = 160

105 t2 = 160 - (105*46)/33

= 160 - 146.364

= 13.636

t2 = 13.636/105 = 0.1299 hours.

= 7 minutes 48 seconds.

4 0

2 years ago

Answer this question i need help!! i’ll give brainly

frez [133]

Answer:

A. The color of fire when different metals are burned.

Explanation:

Qualitative data is data that relates to a quality or characteristic of an object, and does not include any numbers.

example: colour, taste, survey answers

Quantitative data, on the other hand, relates to measurements and counting of variables, and uses numbers to convey value.

example: height of a person, number of coins

5 0

2 years ago