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Jobisdone [24]
3 years ago
15

A student is decorating a circular picture frame that has a diameter of 8 inches. How many inches of fabric will the student nee

d to go completely around the outside of the frame?​

Mathematics
1 answer:
Akimi4 [234]3 years ago
7 0

Answer:

B

Step-by-step explanation:

Circumference is equal to \pi d

C=\pi d

C=\pi \times 8

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What is the length, in units, of segment CD?
leonid [27]

Answer:

The answet is C.

Step-by-step explanation:

First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :

\sin(θ )  =  \frac{oppo.}{hypo.}

let \: oppo. = 4 \\ let \: hypo. = 5

\sin(θ)  =  \frac{4}{5}

θ = {\sin( \frac{4}{5} ) }^{ - 1}

θ = 53.1 \: (1d.p)

Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :

ACD = 90 - 53.1 = 36.9

Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :

\cos(θ)  =  \frac{adj.}{hypo.}

let \: θ = 36.9 \\ let \: adj. = 5 \\ let \: hypo. = CD

\cos(36.9  )  =  \frac{5}{CD}

CD \cos(36.9)  = 5

CD =  \frac{5}{ \cos(36.9) }

CD = 6.25 units\: (3s.f)

4 0
3 years ago
a student used his place value chart to show a number after the teacher instructed him to divide his number by 100 the chart sho
Anna35 [415]
<span>A student divided the given number by 100 that resulted to 28.003 in his chart. So what we are looking for this situation is the value of the number before it was divided by 100.
To get the value, simply multiply the result by 100
=> 28.003 x 100
=> 2800.3
 by dividing 100 to the given number, we simply move the value to the right in a value of hundreds.
See attached Image.

</span>



8 0
4 years ago
How can you yes integers to solve real world problems
Gnom [1K]
Stocks are a good example.
7 0
4 years ago
One-quarter of a pound of bananas costs $0.82. How much does one pound of bananas cost?
aev [14]

Answer:

.82 x 4 = $3.28

.82 = 1/4 pound, so you multiply by 4 (the reciprocal of 1/4) to get a whole.

Hope this helps <3

3 0
4 years ago
Read 2 more answers
A large bakery produces cakes in an assembly line. Sergio noticed a potential defect that seems to be showing in every other cak
olya-2409 [2.1K]

Its better to choose the simple random samples, if the defect is in every other cake, a systematic random sample could miss it completely depending on what Sergio chooses for k.

Here he is  taking a random sample of cakes to get a better idea of how many cakes might have this defect.

The random sample is defined as the method of choose a sample from the group of sample and each of the sample has same probability of being chosen

The systematic sample is the method of choosing the sample from the group of sample with a periodic interval.

Here Sergio noticed a potential defect that seems to be showing in every other cake, so there will be chance of missing the defect completely

Hence, to choose the defect items, the simple random sample is better than systematic random sample.

Learn more about simple random sample here

brainly.com/question/14499823

#SPJ4

4 0
1 year ago
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