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SSSSS [86.1K]
3 years ago
10

WILL GIVE BRAINLIEST PLEASE HELP Write the equation and show work. Find 'x" and ' TK'

Mathematics
1 answer:
marishachu [46]3 years ago
4 0

Answer:

x=6

TK=72

Step-by-step explanation:

Because there are two smaller lines drawn in lines TA and AK, it means that the length of TA is the same as AK.

Hence, 6x=4x+12

Subtract 4x from both sides:

6x-4x=4x+12-4x

2x=12

Divide both sides by 2:

\frac{2x}{2}=\frac{12}{2}

x=6

To find TK,

6x+4x+12=10x+12=10\times 6+12=60+12=72

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4) A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is
lisov135 [29]

Answer:

l=0.1401P\\

w =0.2801P

where P = perimeter

Step-by-step explanation:

Given that a window is in the form of a rectangle surmounted by a semicircle.

Perimeter of window =2l+\pid/2+w

P= 2l+3.14 (w/2)+w

Or P = 2l+2.57w\\l = \frac{P-2.57w}{2}

To allow maximum light we must have maximum area

Area = area of rectangle + area of semi circle where rectangle width = diameter of semi circle

A=lw +\pi \frac{w^2}{8}

A=lw +\pi \frac{w^2}{8}\\A=w*\frac{P-2.57w}{2}+0.3925w^2\\2A= Pw-2.57w^2+(0.785w^2)\\2A' = P-5.14w+1.57 w\\2A" =-5.14+1.57

Hence we get maximum area when i derivative is 0

i.e. P-5.14w+1.57 w=0\\3.57w =P\\w = \frac{P}{3.57} =0.2801P

l = \frac{P-2.57w}{2}\\l = 0.1401P

Dimensions can be

l=0.1401P\\w =0.2801P

5 0
3 years ago
1) the entrance way to the presidio is a rectangle topped by a half circle arch that is 3.2m wide. If the ratio of the area of t
alexandr402 [8]
The answer to the height of the thing is 4.2
6 0
3 years ago
How do you solve -3(4x+3)+4(6x+1)=43 ?
Anastaziya [24]

Answer:

x = 4

Step-by-step explanation:

Solution:

-3(4x + 3) + 4(6x + 1) = 43

-12x - 9 + 24x + 4 = 43

12x - 5 = 43

12x = 43 + 5

12x = 48

x = 48 / 12

Therefore, x = 4

PLEASE MARK ME AS BRAINLIEST!!!

4 0
3 years ago
A university knows from historical data that 25% of students in an introductory statistics class withdraw before completing the
Vikki [24]

Answer:

13.4%

Step-by-step explanation:

Use binomial probability:

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Here, n = 16, r = 2, p = 0.25, and q = 0.75.

P = ₁₆C₂ (0.25)² (0.75)¹⁶⁻²

P = 120 (0.25)² (0.75)¹⁴

P = 0.134

There is a 13.4% probability that exactly 2 students will withdraw.

8 0
3 years ago
Which ones correct?
natima [27]

Answer:

D

Step-by-step explanation:

y = 4 is a horizontal line which would be parallel to the x axis

6 0
3 years ago
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