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myrzilka [38]
2 years ago
15

Please help me with this thanks

Mathematics
1 answer:
Kryger [21]2 years ago
8 0

Step-by-step explanation:

B = area of the base

= 9×4 = 36 square inches

P= perimeter of the base

= 2(9+4)

=2×13= 26 inches

H =distance between the bases

= 16 inches

SA= 2B+PH

= 2(36)+ 26× 16

= 72+416 = 488 square inches

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Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2. Which circle co
Umnica [9.8K]

Answer:

(b) Circle C is shown. Line segment A C is a radius with length 7 centimeters.

Step-by-step explanation:

Given

Minimum\ Area = 135cm^2

Maximum\ Area = 155cm^2

\pi = 3.14

Required

Which circle could she use

To do this, we simply calculate the areas of all the given circles

The area of a circle is:

Area = \pi r^2

Where

r = radius

a.\ r = 6cm

The area is calculated as thus:

Area = \pi r^2

Area = 3.14 * (6cm)^2

Area = 3.14 * 36cm^2

Area = 114.04cm^2

b.\ r = 7cm

The area is calculated as thus:

Area = \pi r^2

Area = 3.14 * (7cm)^2

Area = 3.14 * 49cm^2

Area = 153.86cm^2

<em></em>

c.\ r = 8cm

The area is calculated as thus:

Area = \pi r^2

Area = 3.14 * (8cm)^2

Area = 3.14 * 64cm^2

Area = 200.96cm^2

d.\ r = 9cm

The area is calculated as thus:

Area = \pi r^2

Area = 3.14 * (9cm)^2

Area = 3.14 * 81cm^2

Area = 254.34cm^2

<em>From the calculations above; only the circle in option (b) has an area within the required range of 135 to 155cm^2</em>

6 0
2 years ago
Read 2 more answers
The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party,
rjkz [21]

Answer:

a)  0.2725

b)  0.7275

c)  0.8948

Step-by-step explanation:

This is a binomial distribution probability problem. The formula is:

P(x)=\frac{n!}{(n-x)!x!}p^{x}q^{n-x}

Where

n is the number of trials [here we are taking 8 person, so n = 8]

x is what we are looking for [in the problem]

p is the probability of success [ 15%, so p = 0.15

q is the probability of failure [q = 1-p = 0.85]

Now,

a)

We are looking for "no one" did fling, so x = 0

Let's put into formula and find out the probability:

P(x=0)=\frac{8!}{(8-0)!0!}(0.15)^{0}(0.85)^{8}\\P(x=0)=0.2725

So, the probability that no one has done a one-time fling is 0.2725

b)

Atleast 1 person means P(x ≥ 1).

This can be found by:

P(x ≥ 1) = 1 - P(x=0) = 1 - 0.2725 = 0.7275

THus, Probability that at least one person has done a one-time fling is 0.7275

c)

No more than 2 people means P (x≤2).

This is essentially

P ( x ≤ 2 ) = P(x=0) + P(x=1) + P(x=2)

P ( x = 0 ) is found in part (a), which is 0.2725

P (x = 1 ) and P(x=2) can be found using formula:

P(x=1)=\frac{8!}{(8-1)!1!}(0.15)^{1}(0.85)^{7}\\P(x=1)=0.3847

and

P(x=2)=\frac{8!}{(8-2)!2!}(0.15)^{2}(0.85)^{6}\\P(x=2)=0.2376

Thus,

P ( x ≤ 2 ) = P(x=0) + P(x=1) + P(x=2) = 0.2725 + 0.3847 + 0.2376 = 0.8948

8 0
3 years ago
It is given 5 and h + 1 are the roots of the quadratic equation x² + (k - 1)x - 5 = 0,where h and k are constant.Find the value
Liono4ka [1.6K]

Answer:

Hello,

<u>k=-3 and h=-2</u>

Step-by-step explanation:

5\ is\ a \ root \of \ x^2+(k-1)*x-5=0\\\\5^2+(k-1)*5-5=0\\\\5*(k-1)+20=0\\\\k-1=\dfrac{-20}{5} \\\\k=-4+1\\\\\boxed{k=-3}\\

h+1 is thus a root of x²+(-3-1)*x-5=0

x²-4x-5=0

x²+x-5x-5=0

x(x+1)-5(x+1)=0

(x+1)(x-5)=0

h+1=-1

<u>h=-2</u>

6 0
3 years ago
The football team has a total of 350 jerseys there are 154 medium-sized jerseys. What percent of the jerseys are​ medium-sized j
Lena [83]

Answer:

44% of the jerseys are medium sized.

Step-by-step explanation:

Total jerseys football team has = 350

Medium-sized jerseys = 154

We need to find what percent of the jerseys are​ medium-sized jerseys.

The formula used will be: Percent\:of\:medium\:size\:jerseys=\frac{Medium\:size\:jerseys}{Total\:jersey}\times 100

Putting values and finding percentage

Percent\:of\:medium\:size\:jerseys=\frac{Medium\:size\:jerseys}{Total\:jersey}\times 100

Percent\:of\:medium\:size\:jerseys=\frac{154}{350}\times 100\\Percent\:of\:medium\:size\:jerseys=0.44\times 100\\Percent\:of\:medium\:size\:jerseys=44\%

So, 44% of the jerseys are medium sized.

6 0
2 years ago
Whats the answer to this???
Leno4ka [110]
Measure angle EFG = 15 degrees
Measure angle GFH = 15 degrees
8 0
2 years ago
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