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Mrac [35]
3 years ago
10

Diagram 5 shows a triangle ABD such that AD = 17 cm, AB = 10 cm and BD = 21 cm. The straight line AC is perpendicular to the str

aight line BD and the value of area of triangle ABD is an integer. Calculate the length of AC, in cm. (4 marks)​

Mathematics
1 answer:
OlgaM077 [116]3 years ago
7 0

Answer:

8

Step-by-step explanation:

100 = x^2 + AC^2

17^2 = AC^2 + (21 - x)^2

289 = AC^2 + 21^2 + x^2 - 2*21*x

289 =<u> AC^2</u> + 441 +<u> x^2</u> - 42x

from 1st equation AC^2 + x^2 = 100

289 = 441 + 100 - 42x

289 = 541 - 42x

42x = 541 - 289 = 252

x = 252/42 = 6

so AC^2 = 100 - 6^2 = 100 - 36 = 64

AC = 8

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snow_lady [41]

Answer:

Yes.

Step-by-step explanation:

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I just googled this.

Before trying other techniques, plug in the arrow number. If the result is:

   A number, you’re done.

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    A number over infinity, the answer is zero.

    0/0 or ∞/∞, use L’Hôpital’s Rule.

The thing is, when you say you got your limit, do you mean\lim_{n \to \infty} (n+1)/n ?

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3 0
3 years ago
10(c–1)=80 i need help
Pachacha [2.7K]

Answer:

C =9

Step-by-step explanation:

10(c−1)=80

Step 1: Simplify both sides of the equation.

10(c−1)=80

(10)(c)+(10)(−1)=80(Distribute)

10c+−10=80

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Step 2: Add 10 to both sides.

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Step 3: Divide both sides by 10.

10c

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=

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8 0
3 years ago
Please no links I just need help ty
marusya05 [52]
C. 9x+4 should be the correct answer
3 0
3 years ago
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What is the area of the pentagon, rounded to the nearest tenth?
Rudik [331]

The area of the pentagon, rounded to the nearest tenth will be 32.7 square cm. Then the correct option is C.

<h3>What is a polygon?</h3>

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm.

Then the side length of the pentagon will be

5 x Side length = 21.8 cm

     Side length = 4.36 cm

Then the area of the pentagon, rounded to the nearest tenth will be

Area of pentagon = 5 x area of triangle

Area of pentagon = 5 x 1/2 x 4.36 x 3

Area of pentagon = 32.7 square cm

Thus, the correct option is C.

More about the polygon link is given below.

brainly.com/question/17756657

#SPJ1

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