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3 years ago

Triangle ABC

Mathematics

1 answer:

Virty [35]3 years ago

5 0

Answer:

15 cm

Step-by-step explanation:

Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.

A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

$\frac{BC}{EF} =\frac{AC}{DF}$ .

$\frac{18}{x}=\frac{12}{10}$

To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

$\frac{18}{x}=\frac{12}{10}\\ 18*10 = x*12 \\ 180 = 12x \\ 15 = x$

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Ben wants to try a new honey-glazed salmon recipe. He starts with 1

RSB [31]

1/4 i hope this helps u

6 0

3 years ago

The value of 110 coins, consisting of dimes and quarters, is $20.30. how many of each kind of coin are there?

deff fn [24]

D + q = 110......d = 110 - q
0.10d + 0.25q = 20.30

0.10(110 - q) + 0.25q = 20.30
11 - 0.10q + 0.25q = 20.30
-0.10q + 0.25q = 20.30 - 11
0.15q = 9.30
q = 9.30/0.15
q = 62 <==== there are 62 quarters

d = 110 - q
d = 110 - 62
d = 48 <==== there are 48 dimes

6 0

3 years ago

App 19.study

lions [1.4K]

Answer:

$1 \to 22 \to 0.176$

$2 \to 13 \to 0.104$

$3 \to 18 \to 0.144$

$4 \to 29 \to 0.232$

$5 \to 37 \to 0.296$

$6 \to 6 \to 0.048$

Step-by-step explanation:

Given

$n = 125$

See attachment for proper table

Required

Complete the table

Experimental probability is calculated as:

$Pr = \frac{Frequency}{n}$

We use the above formula when the frequency is known.

For result of roll 2, 4 and 6

The frequencies are 13, 29 and 6, respectively

So, we have:

$Pr(2) = \frac{13}{125} = 0.104$

$Pr(4) = \frac{29}{125} = 0.232$

$Pr(6) = \frac{6}{125} = 0.048$

When the frequency is to be calculated, we use:

$Pr = \frac{Frequency}{n}$

$Frequency = n * Pr$

For result of roll 3 and 5

The probabilities are 0.144 and 0.296, respectively

So, we have:

$Frequency(3) = 125 * 0.144 = 18$

$Frequency(5) = 125 * 0.296 = 37$

For roll of 1 where the frequency and the probability are not known, we use:

$Total \ Frequency = 125$

So:

Frequency(1) added to others must equal 125

This gives:

$Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125$

$Frequency(1) + 103 = 125$

Collect like terms

$Frequency(1) =- 103 + 125$

$Frequency(1) =22$

The probability is then calculated as:

$Pr(1) = \frac{22}{125}$

$Pr(1) = 0.176$

So, the complete table is:

$1 \to 22 \to 0.176$

$2 \to 13 \to 0.104$

$3 \to 18 \to 0.144$

$4 \to 29 \to 0.232$

$5 \to 37 \to 0.296$

$6 \to 6 \to 0.048$

5 0

3 years ago

PLZ HELP!!!!!!!!

nekit [7.7K]

Answer:

B. Function 2

Step-by-step explanation:

Line P gradient is

Gradient = rise/run

= 1/4

Negative slope so gradient is - 1/4

Out of all the gradient, the lowest value has to be function 2 or line p & not 1/4r-5 because when r is 1 we get a gradient of 1.

-1/4xr - 5

-1/4x1 - 5

-1/4-5

-1/-1 = 1

Plus, 1 is greater than - 1/4 or - 0.25.

8 0

2 years ago

Read 2 more answers

Working alone Ryan can dig a 10ft by 10ft hole in five hours castel can dig the same same hole in six how long would it take the

Sergeeva-Olga [200]

Answer:

The time taken by both when they work together is 2 hours 42 minutes .

Step-by-step explanation:

Given as :

The time taken by Ryan to dig 10 ft by 10 ft hole = x = 5 hours

The time taken bu Castel to dig 10 ft by 10 ft hole = y = 6 hours

Let The time taken by both when they work together = z hours

<u>According to question</u>

The time taken by both when they work together = time taken by Ryan to dig 10 ft by 10 ft hole + time taken bu Castel to dig 10 ft by 10 ft hole

i.e $\dfrac{1}{z}$ = $\dfrac{1}{x}$ + $\dfrac{1}{y}$

Or, $\dfrac{1}{z}$ = $\dfrac{1}{5}$ + $\dfrac{1}{6}$

<u>Taking LCM</u>

Or, $\dfrac{1}{z}$ = $\dfrac{6 + 5}{30}$

Or, $\dfrac{1}{z}$ = $\dfrac{11}{30}$

Or, z = $\dfrac{30}{11}$ hours

∴ z = 2 hours 42 minutes

So, The time taken by both when they work together = z = 2 hours 42 min

Hence, The time taken by both when they work together is 2 hours 42 minutes . Answer

3 0

3 years ago