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Lady bird [3.3K]
2 years ago
6

A table is made using the following two patterns.

Mathematics
1 answer:
Alika [10]2 years ago
5 0

Answer:

    x              y

    5            20

    15           10

    45           5

Step-by-step explanation:

Pattern x:

Start with 5.

Multiply by 3: 5 * 3 = 15

Multiply by 3: 15 * 3 = 45

Pattern x:

Start with 20.

Multiply by 1/2: 20 * 1/2 = 10

Multiply by 1/2: 10 * 1/2 = 5

    x              y

    5            20

    15           10

    45           5

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[4]
Tanya [424]

Answer:

Angle ACD = 38°

Step-by-step explanation:

The full, correct question is presented the attached image to this solution.

Given

Point O is the centre if the circle

Points A, B, C and D are points on the circle

Angle AOB = 140°

Angle OAC = 14°

Angle AOB = 2 × (Angle ACB) [angle subtended at the centre of the circle is twice the angle subtended at the circumference of the circle)

140° = 2 × (Angle ACB)

Angle ACB = (140°/2) = 70°

(Angle AOB) + (Angle OAB) + (Angle ABO) = 180° [sun of angles in a triangle is 180°]

But Angle OAB = Angle ABO = a [base angles of an iscosceles triangle are equal since OA and OB are both radii for the circle O)

(Angle AOB) + (Angle OAB) + (Angle ABO) = 180°

140° + a + a = 180°

2a = 40°

a = (40/2) = 20°

Angle OAB = Angle ABO = 20°

Angle CAB = (Angle OAC) + (Angle OAB) = 14° + 20° = 34°

Triangle ADC is an iscosceles triangle, hence,

Angle DAC = Angle ACD = x [base angles of an iscosceles triangle are equal]

But

(Angle DCB) + (Angle DAB) = 180° [Opposite angles of a cyclic quadilateral (a quadilateral inscribed in a circle) sum up to give 180°]

Angle DCB = (Angle DCA) + (Angle ACB) = (x + 70°)

Angle DAB = (Angle DAC) + (Angle CAB) = (x + 34°)

(Angle DCB) + (Angle DAB) = 180°

(x + 70°) + (x + 34°) = 180°

2x + 104° = 180°

2x = 180° - 104° = 76°

x = (76°/2) = 38°

Angle DAC = Angle ACD = 38°

Angle ACD = 38°

Hope this Helps!!!

7 0
3 years ago
Use the cosine sum and difference identities to find the exact value.<br><br> COS(5pi/12)
nydimaria [60]
5π/12 = (5 · 180°) : 12 = 75°
cos 75° = cos ( 45° + 30° )= cos 45° cos 30° - sin 45° sin 30° =
=√2/2 * √3/2 - √2/2 * 1/2 = \frac{ \sqrt{6} }{4} - \frac{ \sqrt{2} }{4}= \frac{ \sqrt{6} - \sqrt{2} }{4}
=(2.4495 - 1.4142): 4 = 0.258825
8 0
3 years ago
Read 2 more answers
Please help if can thank you :)
Evgesh-ka [11]
2*(1/2*8 inches*4 inches)+10 inches*4 inches
4 0
3 years ago
Write a recursive formula and an explicit formula for the following arithmetic sequence. 5​, 14​, 23​, 32​, 41​,
Nezavi [6.7K]

Answer: uh

Step-by-step explanation:

7 0
2 years ago
Can somebody please show me how to find A? thanks
NNADVOKAT [17]
Hello,
Answer C

Using Thales, 3/8=5/A==>A=5*8/3=40/3

6 0
3 years ago
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