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3 years ago

⦁The areas of two similar triangles ABC and DEF are 100 cm2 and 144 cm2. If EF = 15 cmthen find the length of side BC.

Mathematics

1 answer:

ch4aika [34]3 years ago

6 0

we know that

area larger triangle (DEF)=[scale factor]²*area smaller triangle (ABC)

solve for scale factor

scale factor=√[area larger triangle/area smaller triangle]

scale factor=√[144/100]------> scale factor=1.2

therefore

measure EF=scale factor *measure BC

solve for measure BC

measure BC=measure EF/scale factor-------> 15/1.2------> 12.5 cm

the answer is

measure BC is 12.5 cm

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3 years ago

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Answer:

a) P=0.03

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Step-by-step explanation:

a) The P-value is the probability of the sample result. In this case the P-value is 0.03.

b) The level of significance is the threshold of probabilty for the null hypothesis to be reejcted or not. It is contrasted with the P-value to know if the effect is significant. In this case, the level of significance is 0.05.

NOTE: if it is a two-side test, the level of significance is 0.1 (two times 0.05).

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3 years ago

Find the length of the line AB

sergiy2304 [10]

Answer:

the length would be 12.

Step-by-step explanation:

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3 years ago

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PilotLPTM [1.2K]

Answer:

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Step-by-step explanation:

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3 years ago

getting home from trick or treat celia and emma counted their candies. half of celias candies is equal to 2/3 of emmas candies.

blagie [28]

Candies with celias and emmas is 60 and 45 respectively.

<u>Solution:</u>

Given, Getting home from trick or treat celia and emma counted their candies. Half of celias candies is equal to 2/3 of emmas candies.

They had a total of 105 candies altogether.

We have to find how many candies did each of them have.

Let the number of candies with celias be n, then number of candies with emma will be 105 – n.

Now according to given condition.

$\begin{array}{l}{\frac{1}{2} \times \text { celias candies count }=\frac{2}{3} \times \text { emmas candies count }} \\\\ {\rightarrow \frac{1}{2} \times n=\frac{2}{3} \times(105-n)} \\\\ {\rightarrow 3 \times n=2 \times 2 \times(105-n)} \\\\ {\rightarrow 3 \times n=2 \times 2 \times(105-n)} \\\\ {\rightarrow 3 n=4(105-n)} \\\\ {\quad \rightarrow 3 n=420-4 n} \\\\ {\rightarrow 3 n=420-4 n} \\\\ {\rightarrow 3 n+4 n=420} \\\\ {\rightarrow 7 n=7 \times 60} \\\\ {\rightarrow n=60}\end{array}$

Hence, candies with celias and emmas is 60 and 45 respectively.

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3 years ago