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3 years ago

Please answer this correctly

Mathematics

2 answers:

Savatey [412]3 years ago

6 0

Answer:

24 cm

Step-by-step explanation:

Assuming that the triangles are similar,

then the ratio of their sides must be the same.

in this case you are dealing with 2 longest sides and the 2 shortest sides.

We are asked to find the y (the length of the shortest side of the blue triangle)

because they are similar, we can form a ratio with their sides:

Purple Long Side / Blue Long Side = Purple Short Side / Purple Long side

100 / 80 = 30 / y

100y = (30)(80)

y = (30)(80) / 100

y = 24 cm

Basile [38]3 years ago

4 0

Answer:

y = 24

Step-by-step explanation:

<u>Since these triangles are similar, you can set up a proportion like this:</u>

<u /> $\frac{100}{80} =\frac{30}{y}$

→Cross multiply:

$\frac{100y}{2400}$

→Divide 2400 by 100:

y = 24

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The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is

qwelly [4]

Answer:

Step-by-step explanation:

Given an acute triangle in which the longest side measures 30 inches; and the other two sides are congruent.

Consider the attached diagram

AB=BC=x

However to be able to solve for x, we form a right triangle with endpoints A and C.

Since the hypotenuse is always the longest side in a right triangle

Hypotenuse, AC=30 Inches

Using Pythagoras Theorem

$30^2=x^2+x^2\\900=2x^2\\x^2=450\\x=\sqrt{450}\\x=21.21$ inches$

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2 (x + 4) = 4.2 (x - 2) - 2x

dalvyx [7]

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Step-by-step explanation:

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3 years ago

Read 2 more answers

ANSWER QUICK PLSS!!!

meriva

The correct answer is letter C

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3 years ago

Recent census data indicated that 14.2% of adults between the ages of 25 and 34 live with their parents. A random sample of 125

kicyunya [14]

Answer:

The probability is $P(14 < X < 20 ) = 0.5354$

Step-by-step explanation:

From the question we are told that

The proportion that live with their parents is $\r p = 0.142$

The sample size is n = 125

Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution

i.e

$X \ \~ \ B( \mu , \sigma )$

Now the mean is evaluated as

$\mu = n * \r p$

$\mu = 125 * 0.142$

$\mu = 17.75$

Generally the proportion that are not staying with parents is

$\r q = 1 - \r p$

= > $\r q = 0.858$

The standard deviation is mathematically evaluated as

$\sigma = \sqrt{n * \r p * \r q }$

$\sigma = \sqrt{ 125 * 0.142 * 0.858 }$

$\sigma = 3.90$

Given the n is large then we can use normal approximation to evaluate the probability as follows

$P(14 < X < 20 ) = P( \frac{ 14 - 17.75}{3.90}$

Now applying continuity correction

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < \frac{ X - \mu }{\sigma } < \frac{ 19.5 - 17.75}{3.90} )$

Generally

$\frac{ X - \mu }{\sigma } = Z ( The \ standardized \ value \ of X )$

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < Z< \frac{ 19.5 - 17.75}{3.90} )$

$P(14 < X < 20 ) = P( -1.0897 < Z< 0.449 } )$

$P(14 < X < 20 ) = P( Z< 0.449 ) - P(Z < -1.0897)$

So for the z - table

$P( Z< 0.449 ) = 0.67328$

$P(Z < -1.0897) = 0.13792$

$P(14 < X < 20 ) = 0.67328 - 0.13792$

$P(14 < X < 20 ) = 0.5354$

6 0

3 years ago