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BlackZzzverrR [31]

2 years ago

8

If \orange{\angle ADC}∠ADCstart color #ffa500, angle, A, D, C, end color #ffa500 measures 23^\circ23 ∘ 23, degrees, what does \b

lue{\angle ABC}∠ABCstart color #6495ed, angle, A, B, C, end color #6495ed measure?

1 answer:

Karolina [17]2 years ago

8 0

Answer:

<ABC

Step-by-step explanation:

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Find the length of the third side of the right triangle.

lara31 [8.8K]

Answer: you can use Pythagorean theorem , which formula is $a^{2} + b^{2} =c^{2}$ , "a" and "b" are the sides, and "c" is the hypotenuse (the longest side, the side opposite to the 90 degree angle)

<em>Example:</em>

If they give that one side is 2 inches and the other side is 4 and you need to find the hypotenuse it would be like this:

1) plug the numbers to the formula

$4^2 + 6^2 = c^{2}$

2) solve the exponents of the numbers given (not the letter, in this case "c")

16 + 36 = $c^2$

3) combine like terms (in this case 16 +36)

52 = $c^2$

4) Finally, Find the square root of "c" to remove its exponent and do the same to the other side, in this case 52)

$\sqrt{52} = \sqrt{c}$

(square root of 52 rounded to the nearest hundred is 7.21)

7.21 = c

<h3><u><em>So 7.21 is your missing side in this example</em></u></h3><h3>look up Pythagorean theorem Khan Academy</h3>

8 0

2 years ago

A lightbulb has a normally distributed light output with mean 5000 end foot-candles and standard deviation of 50 end foot-candle

Blizzard [7]

To find the specification limit such that only 0.5% of the bulbs will not exceed this limit we proceed as follows;
From the z-table, a z-score of -2.57 cuts off 0.005 in the left tail; given the formula for z-score
(x-μ)/σ
we shall have:
(x-5000)/50=-2.57
solving for x we get:
x-5000=-128.5
x=-128.5+5000
x=4871.50

8 0

2 years ago

Please help! Tim and Jane both work at a company that sells boxes of breakfast cereal. The boxes of cereal cost £3.00 and the am

patriot [66]

Answer: Jane needs to reduce the price by 20%

Step-by-step explanation: The first thing to note is the original price of the cereal and that is given as £3 for every 160 grams.

The change proposed by Tim is as follows;

Put 25% more cereal in the box (and do not change the price). That means 160 g plus 25%. Mathematically, this can be expressed as;

New weight = 160 + (160 * 25%)

New weight = 160 + (160 * 0.25)

New weight = 160 + 40

New weight = 200

Hence, Tim's idea would result in a cereal box with 200 grams that still cost £3. At this rate, each gram would cost

1 gram = Price / Total grams

1 gram = 3/200

1 gram = 0.015

However, Jane has proposed that the amount of cereal in the box should not be changed, which means the box of cereals should remain 160 grams. The price should be reduced to give the same value as Tim's idea. This means 160 g of cereals should now sell for £0.015 per gram. That would bring the price of 160 g to,

1 gram = 0.015

160 grams = 0.015 * 160

160 grams = 2.4

With Jane's proposal, a 160 g box of cereal should now be sold at £2.4 each. That is a reduction of £0.6

Therefore, the percentage reduction can be calculated as follows;

% decrease = (0.6/3) * 100

% decrease = (1/5) * 100

% decrease = 20

From the results above, Jane should reduce the price (£3 per 160 g) by 20%.

7 0

3 years ago

A gas has weight of 5 pounds and a volume of 100 cubic feet. what's the specific volume of this gas

Leya [2.2K]

In thermodynamics, specific volume is considered to be an intrinsic property of matter. What we meant by intrinsic property is that, the value of this property does not change no matter the size of the sample. This is opposite to weight or volume which changes depending on the size of the sample.

By mathematical definition, specific volume is the ratio of the substance’s volume to its mass. Or in other words, this is the reciprocal of density.

The formula for density is:

density = mass / volume

Since specific volume is reciprocal so:

Specific volume = 1 / density = volume / mass

Calculating:

Specific volume = 100 ft^3 / 5 pounds

Specific volume = 20 ft^3 / pound

Or when asked in units of m^3 / kg, we convert:

Specific volume = (20 ft^3 / pound) (2.2 pound / kg) (1 m^3 / 35.3147 ft^3)

Specific volume = 1.246 m^3 / kg

3 0

2 years ago

Däne has a stamp collection. in one boo he has 6 pages with 15 stamps on each page. in another book,he has 9 pages with 20 stamp

galben [10]

6x15= 90

9x20= 180

180+90= 270

270 - 25 = 245 dane has 245 stamps left

8 0

2 years ago