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GREYUIT [131]
3 years ago
8

2. Another wooden plank is leaning against an outside wall of a building. The bottom of the plank is 9 ft from the wall. The len

gth of the plank is 41 ft. Find each of the following values, and show all your work. (a) Find the value of x. Round to the nearest tenth of a degree. (b) Find the height above the ground where the plank touches the wall. Round to the nearest foot.
Mathematics
1 answer:
siniylev [52]3 years ago
6 0
(A) Find the value of x. Round to the nearest tenth of a degree<span>
Given that the distance of the ground is 9ft.
Length of the plank is 41 ft

In order to get the angle formed between the ground and the foot of the plank,

cos (theta) = ground / plank
cos (theta) = 9 / 41
</span><span>cos (theta) = 0.21951...
</span>theta = cos^-1(<span>0.21951...)
</span><span>theta = 77.3 degrees

</span><span>(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.
</span><span>
Height = square root (plank^2 - ground^2)
Height = square root (41^2 - 8^2)
</span><span>Height = square root (1600)
</span><span>Height = 40

(A) 77.1 Degrees
(B) 40 feet</span>
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Please help me to figure out this question. Thanks
Marta_Voda [28]

Answer:

a) 5 : 7

b) 25 black keys

c) 100 black keys will appear.

Step-by-step explanation:

a) From the picture,

There are 5 black keys and 7 white keys.

Therefore, the ratio of black keys to white keys are = 5 : 7 = 5/7

b) If the pattern continues, 25 black keys will be appeared on a portable full-sized keyboard.

Explanation -

From part A, we get the ratio of black keys to white keys = 5 : 7. Therefore,

If there are 7 white keys, there are 5 black keys

If there are 1 white keys, there are 5/7 black keys

If there are 35 white keys, there are (5*35)/7 black keys

= 25 black keys.

c) If there are 240 keys, the black keys will appear -

We get, the ratio of black keys to white keys = 5 : 7

The summation of the black keys and white keys = (5 + 7) = 12.

Therefore, if there are 240 keys, the black keys will be

= (5/12) x 240

= (5 x 240)/12

= 100

Therefore, there are 100 black keys.

7 0
3 years ago
-9x - x - 7x² - 6x² + 8 +6<br><br><br><br> Help please
hammer [34]

Answer:

\boxed{ \bold{ \huge{ { \sf{ - 13 {x}^{2}  - 10x + 14}}}}}

Step-by-step explanation:

\sf{ - 9x - x - 7 {x}^{2}  - 6 {x}^{2}  + 8 + 6}

Collect like terms

⇒\sf{ - 7 {x}^{2}  - 6 {x}^{2}  - 9x - x + 8 + 6}

⇒\sf{ - 13 {x}^{2}  - 10x + 8 + 6}

Add the numbers

⇒\sf{ - 13 {x}^{2}  - 10x + 14}

Hope I helped!

Best regards!!

3 0
3 years ago
Read 2 more answers
Lizette wanted to see if it would be possible to use a little less materials in a tea infuser but still not be required to be at
Oksi-84 [34.3K]

Considering the volume of a rectangular prism, since the new volume is greater than the filled volume, the new dimensions would work, and 90.29% of the infuser would be filled.

<h3>What is the volume of a rectangular prism?</h3>


The volume of a rectangular prism of length l, width w and height h is given by:

V = lwh.

The original dimensions are:

h = 7.9 cm, l = 3 cm, w = 1.5.

Hence the volume in cm³ was:

V = 7.9 x 3 x 1.5 = 35.55 cm³.

The infuser was filled to 80% capacity, hence:

Vf = 0.8 x 35.55 = 28.44 cm³.

For the new dimensions, we have that h = 7 cm, hence the volume is:

Vn = 7 x 3 x 1.5 = 31.5 cm³.

28.44/31.5 x 100% = 90.29%.

Since the new volume is greater than the filled volume, the new dimensions would work, and 90.29% of the infuser would be filled.

More can be learned about the volume of a rectangular prism at brainly.com/question/17223528

#SPJ1

4 0
1 year ago
What are two numbers that add up to 43 and their difference is 11?
LiRa [457]

Answer:

27 and 16

Step-by-step explanation:

x + y = 43

x - y = 11

You can add up the two equations so the ys are cancelled out.

2x = 54

x = 27

Plug x in to find y.

27 - y = 11

y = 16

4 0
3 years ago
Please help with my question due ASAP
Harlamova29_29 [7]
For the question the answer is a
5 0
3 years ago
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