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timurjin [86]
3 years ago
14

Triangle ABC is the pre-image and triangle DFE is the image.

Mathematics
1 answer:
anzhelika [568]3 years ago
6 0

Answer:

Scale factor = ½

Step-by-step explanation:

The original image is the preimage = ∆ACB

The new image is the image = ∆DFE

The scale of factor of dilation = image/preimage = DF/AC

DF = 6 cm (given)

AC = 12 cm (given)

Plug in the values into the equation to find the scale factor of dilation:

Scale factor = 6/12

Scale factor = ½

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Select the correct answer.
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3 years ago
Rachel has a bag of fruit that has a mass of 50 hectograms. Rachel converts this mass to centigrams. Her work is shown below.
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Answer:

She should have multiplied by 10,000

Step-by-step explanation:

Given table:

\begin{array}{| c | c |}\cline{1-2} \sf kilo & 1,000 \\\cline{1-2} \sf hecto & 100 \\\cline{1-2} \sf deka & 10 \\\cline{1-2} \sf unit & 1 \\\cline{1-2} \sf deci & 0.1 \\\cline{1-2} \sf centi & 0.01 \\\cline{1-2} \sf milli & 0.001 \\\cline{1-2}\end{array}

To find the conversion rate:

\sf \dfrac{hecto}{centi}=\dfrac{100}{0.01}=10000

Therefore, 1 hectogram = 10,000 centigrams

So when converting hectograms to centigrams, multiply the mass by 10,000.

⇒ 50 hg × 10,000 = 500,000 centigrams

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Answer:

follows are the solution to this question:

Step-by-step explanation:

Please find the correct question in the attached file:

The formula for calculating the Confidence interval of proportion:

\to CI=\hat{p} \pm Z_{\frac{\alpha}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\to  \hat{p}=\frac{\text{lower limit +upper limit}}{2}\\

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The number of learners with access to working at home on a computer:

= 0.54 \times 300 \\\\=162

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upper limit = 0.60

\to margin \ error = \frac{\text{upper limit - lower limit}}{2}\\

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