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ale4655 [162]
2 years ago
13

Calculate AC to 1 decimal place ?

Mathematics
1 answer:
AlladinOne [14]2 years ago
8 0

Step-by-step explanation:

first we need to find the length of CD, so that we can use Pythagoras to find AC.

to get CD we use again Pythagoras. there is a smaller right-angled triangle on top of the BCD rectangle.

so, AD = 11 = 4 + 7

7 = the vertical leg of the upper right-angled triangle.

the horizontal leg is congruent to CD and is

sqrt(16² - 7²) = sqrt(256 - 49) = sqrt(207).

AC² = sqrt(207)² + 11² = 207 + 121 = 328

AC = sqrt(328) = 18.11077028... cm ≈ 18.1 cm

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2 years ago
Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles. explain
ehidna [41]

Given sides of length 300 mm or 190 mm, you can form 4 different triangles:

  1. equilateral with sides 190 mm
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The triangle inequality requires the sum of the lengths of any two sides be not less than the length of the third side. Since 2×190 > 300, you can mix and match these side lengths any way you want. With three sides and 2 choices for each, there are only a limited number of possibilities.

In the above, we have not listed ones that are simply rotations or reflections of a congruent triangle. (A 190-190-300 triangle looks the same as a 190-300-190 triangle, for example.)

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How do you find the hypotenuse if you have 2 side lengths one is 40 m and the other is 5 cm ?
Svet_ta [14]

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a²+b²=c²

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8 0
3 years ago
Do you know The answer for If R is the midpoint of QS, QR =8x - 51 and RS = 3x - 6 find QS
7nadin3 [17]

Answer:

<h2>QS = 42</h2><h2></h2>

Step-by-step explanation:

R is midpoint

|<---------------- QS -------------------->|

Q---------------------R--------------------S

       8x - 51                 3x - 6

find: QS

QR = RS

8x - 51 = 3x - 6

8x - 3x = 51 - 6

5x = 45

x = 45/5

x = 9

QS = QR + RS

QS = (8x - 51) + (3x - 6)

plugin the value of x=9 into the equation above:

QS = (8(9) - 51) + (3(9) - 6)

QS = 72 - 51 + 27 - 6

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5 0
3 years ago
Can someone please answer question 15 and 16
Pavel [41]

Answer:

15. y=-4/3x+7/3

16. y=-1/3x+4

Step-by-step explanation:

5 0
3 years ago
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