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Genrish500 [490]
3 years ago
8

Given that ∠A and ∠B are supplementary, Daisy conjectured that ∠A≅∠B .

Mathematics
2 answers:
Neporo4naja [7]3 years ago
7 0

The answer to this is m<A=40° and m<B=140°

dexar [7]3 years ago
3 0
When two angles are supplementary, that means that the sum of their individual angles is equal to a straight line, which is 180°. If you add another restriction where the two supplementary angles are equal, then each vale of the angle constitutes half of 180°. Then, that means that ∠A = ∠B = 90°. The answer is C.
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Elyssa bought a rectangular aquarium. The measurements, in feet (ft), are shown below.
Alla [95]

Answer:

34 \frac{13}{20}  \:  {ft}^{3}

Step-by-step explanation:

Water required to fill the aquarium

= Volume of the aquarium

= lbh \\  \\  = 4 \frac{2}{5}  \times 3 \frac{1}{2}  \times 2 \frac{1}{4}  \\  \\  =  \frac{22}{5}  \times  \frac{7}{2}  \times  \frac{9}{4}  \\  \\  = \frac{11}{5}  \times  \frac{7}{2}  \times  \frac{9}{2}  \\  \\  =  \frac{693}{20}  \\  \\  = 34 \frac{13}{20}  \:  {ft}^{3}

4 0
3 years ago
Problem PageQuestion A circle has a radius of . Find the radian measure of the central angle that intercepts an arc of length .
notsponge [240]

Answer:

<h2><em>0.1π rad</em></h2>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

A circle has a radius of 19m . Find the radian measure of the central angle θ that intercepts an arc of length 5m.  Do not round any intermediate computations, and round your answer to the nearest tenth.

The formula for calculating the length of an arc L = \frac{\theta}{360} * 2 \pi r

θ is the central angle

r is the radius of the circle = 19m

L is the length of an arc = 5m

Substitute the given values into the formula and get the central angle θ

5 = θ/360 * 2(22/7)*19

5 = θ/2π * 119.4285714

θ/2π = 5/119.4285714

θ/2π = 0.041866

θ = 2π*0.041866

θ = 0.083732π

θ = 0.1π rad (to the nearest tenth)

<em>Hence the radian measure of the central angle that intercepts an arc of length to the nearest tenth is 0.1π rad</em>

8 0
3 years ago
What are the three elements to calculate simple interest
Arisa [49]
Simple interest is found by multiplying the amount of money deposited, the rate ( like .05 per month ) , and the time it will be in the bank ( one moth, 5 months, a year, etc. ).

I'm 1000% positive this is correct.

Hope I helped you learn something new today!

3 0
3 years ago
Which expressions are differences of squares?
Zarrin [17]
If an expression is the difference of two squares, it will follow this format:
(a)^{2}-(b)^{2}
where a and b are integers or variables.

1) w^{2} - 121 = (w)^{2} -( 11)^{2}
Since the expression follows the format, it's a DoTS.

2) Since the binomial has an addition sign, it isn't a DoTS.

3) n^{2}-50=(n)^{2}-(5\sqrt{2})^{2}
The second term isn't an integer, so the expression isn't a DoTS.

4) a^{2}-36=(a)^{2}-(6)^{2}
Since the expression follows the format, it's a DoTS.

Therefore, the first and fourth expressions are differences of two squares.
6 0
3 years ago
Read 2 more answers
Problem 10-09 (Algorithmic) Cress Electronic Products manufactures components used in the automotive industry. Cress purchases p
SpyIntel [72]

The economic order quantity is 385 and reorder point is 254.

<h3> Economic order quantity (EOQ)</h3>

a. Economic order quantity (EOQ)

EOQ=√2×D×C÷H

Where:

D =Annual Demand

S = Cost of Ordering

H=Holding cost

Hence:

EOQ=√2×5300×70÷.25×20

EOQ=√742,000÷5

EOQ=√148,400

EOQ=385

b. Reorder point

Reorder point=5300/250×12 days

Reorder point=254

c. Reorder point

Reorder point=5300/250×35 days

Reorder point=742

d. Reorder point

Reorder point=742-385

Reorder point=357

Therefore the economic order quantity is 385 and Reorder point is 254.

Learn more about Economic order quantity (EOQ) here:brainly.com/question/16024963

#SPJ1

The complete question is:

a. If the cost of the part is $20 per unit, what is the economic order quantity?

b. Assume 250 days of operation per year. If the lead time for an order is 12 days, what

is the reorder point?

c. If the lead time for the part is seven weeks (35 days), what is the reorder point?

d. What is the reorder point for part (c) if the reorder point is expressed in terms of the inventory on hand rather than the inventory position?

3 0
2 years ago
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