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3 years ago

What is the value of the missing angle in the triangle?

Mathematics

2 answers:

Tema [17]3 years ago

5 0

Answer: 70°

Step-by-step explanation: The missing angle would be 70°. This is because if you add up 73° and 37° it equals to 110. Subtract 110 from 180 and you get 70°.

blsea [12.9K]3 years ago

3 0

The last angle would be 70 degrees

As there is 180 degrees in a triangle so you add the angles you know and then subtract it from 180

37+73=110

180-110=70

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When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 49 b

Brilliant_brown [7]

Answer:

Step-by-step explanation:

Given that A shipment contains 6000 batteries, and 1% of them do not meet specifications.

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If x is the number of batteries not meeting specifications then

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Because i) each toy is independent of the other

ii) There are only two outcomes

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Hence almost all shipments would be accepted.

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3 years ago

What is the basic ratio for 25:40.

Alexxandr [17]

25/40= .625
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3 years ago

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4 0

3 years ago

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Find the value of x such that the area of a triangle whose vertices have coordinates (6, 5), (8, 2) and (x, 11) is 15 square uni

Serjik [45]

Answer:

$x =12\ or\ -8$

Step-by-step explanation:

Given

$(x_1,y_1) = (6,5)$

$(x_2,y_2) = (8,2)$

$(x_3,y_3) = (x,11)$

$Area = 15$

Required

Find x

The area is calculated as thus:

$Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|$

Substitute values

$15 = \frac{1}{2}|6*(2 - 11) + 8*(11 - 5) + x(5 - 2)|$

$15 = \frac{1}{2}|6*(-9) + 8*(6) + x(3)|$

$15 = \frac{1}{2}|-54 + 48 + 3x|$

$15 = \frac{1}{2}|-6 + 3x|$

Multiply through by 2

$2 * 15 = \frac{1}{2}|-6 + 3x| * 2$

$30 = |-6 + 3x|$

Remove absolute sign

$30 = -6 + 3x\ or\ -30 = -6 + 3x$

Add 6 to both sides

$36 = 3x\ or\ -24 = 3x$

Divide by 3

$12 = x\ or\ -8 = x$

$x =12\ or\ -8$

<em>So, the coordinates are (-8, 11) or (12,11)</em>

3 0

2 years ago

What is fifty four divides by four?

galben [10]

54 divided by four is 13.5 or 27/2

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3 years ago

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