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3 years ago

Which postulate explains why a tripod will not tip over?

2 answers:

6 0

Space contains at least four noncoplanar points postulate explains why a tripod will not tip over
<span> three noncollinear points determine a plane</span>

Feliz [49]3 years ago

3 0

Tripod will not tip over because: a plane contains at least 3 noncollinear points .
Answer: B )

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If f(x) and f¹(x) are inverse functions of each other and f(x) = 2x+ 5, what is ƒ˜¹ (8) ?

viva [34]

Its 3/2 thats the right answer

4 0

2 years ago

Producers will make 1000 refrigerators available when the unit price is $280.00. At a unit price of $400, 5000 refrigerators wil

Kobotan [32]

Answer:

For linear equations we use:

p=mx+b ------ (1)

Now we have the following coordinates:

(x1,p1)= (1000,280) and (x2, p2)=(5000,400)

First we need slope (m)

m= $(400-280)/(5000-1000)$

= $120/4000=0.03$

Now we will plug the value of m in the first equation

$280=0.03(1000)+b$

=> $280=30+b$

=> b = 250

Now plug into p=mx+b using only m=0.03 and b=250

$p=0.03x+250$

When the unit price is $440, we can plug in 440 in for p;

$440=0.03x+250$

=> $0.03x=440-250$

=> $0.03x=190$

=> x = 6333 refrigerators

The lowest price at which a refrigerator will be marketed, we can find this by plugging x = 0 in p=mx+b.

$p=0.03(0)+250$

=> p = $250

6 0

3 years ago

Find the central angle of a sector of a circle of the area of the sector and the area of the circle are in the proportion of 3:5

abruzzese [7]

Answer:

$\theta = 216$

Step-by-step explanation:

Given

Area of Sector : Area of Circle = 3 : 5

Required

Determine the central angle

The question implies that

$\frac{Area_{sector}}{Area_{circle}} = \frac{3}{5}$

Multiply both sides by 5

$5 * \frac{Area_{sector}}{Area_{circle}} = \frac{3}{5} * 5$

$5 * \frac{Area_{sector}}{Area_{circle}} = 3$

Multiply both sides by Area{circle}

$5 * \frac{Area_{sector}}{Area_{circle}} * Area_{circle} = 3 * Area_{circle}$

$5 * {Area_{sector} = 3 * Area_{circle}$

Substitute the areas of sector and circle with their respective formulas;

$Area_{sector} =\frac{\theta}{360} * \pi r^2$

$Area_{circle} = \pi r^2$

So, we have

$5 * \frac{\theta}{360} * \pi r^2 = 3 * \pi r^2$

Divide both sides by $\pi r^2$

$5 * \frac{\theta}{360} * \frac{ \pi r^2}{\pi r^2} = 3 * \frac{\pi r^2}{\pi r^2}$

$5 * \frac{\theta}{360} = 3$

Multiply both sides by 360

$360 * 5 * \frac{\theta}{360} = 3 * 360$

$5 * \theta = 3 * 360$

Divide both sides by 5

$\frac{5 * \theta}{5} = \frac{3 * 360}{5}$

$\theta = \frac{3 * 360}{5}$

$\theta = \frac{1080}{5}$

$\theta = 216$

Hence, the central angle is 216 degrees

3 0

2 years ago

Lan make 60 cakes. he gives 1/4 of the cakes to Helen. he gives 20 of the 60 cakes to sue. what fraction of the 60 cakes does he

weqwewe [10]

Answer:

5/12

Step-by-step explanation:

1/4 of the cakes is 60 divided by 4 which is 15. That goes to Helen

20 go to Sue

so far, he has given away 35 cakes out of the 60

he is left with 25 cakes

that is 25/60 which can be simplified to 5/12

4 0

2 years ago

Read 2 more answers

Justin is 2 years older

german

Answer:
5

Explanation:
1/4 of 12 = 3
2 + 3 = 5

5 0

2 years ago