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2 years ago

pls show steps and formula

Mathematics

1 answer:

Sonbull [250]2 years ago

8 0

Step-by-step explanation:

the correct formula for this is the heron's formula

which states that s=√s(s-a)(s-b)(s-c). Where s is a+b+c all divided by 2

s=√(13.5-12)(13.5-9)(13.5-6)

s=√(1.5)(4.5)(7.5)

s=√50.625

s= 7.11 or 7 to the nearest square unit

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Semenov [28]

Answer:

281.25 cm^2

Step-by-step explanation:

Given that,

The scale factor of Two similar triangles = 5:2

Area of the smaller rectangle = 45 cm^2

To find,

The Area of the larger rectangle = ?

Procedure:

As we know, similar triangles have similar ratios of sides. Thus, this can be written in proportion with the sides' ratio to the left while ratio of areas on the right.

(5)^2/(2)^2 = a/45

∵ The area of the larger rectangle = 25/4 * 45

= 281.25 cm^2

8 0

2 years ago

One line passes through the points \blueD{(-3,-1)}(−3,−1)start color #11accd, (, minus, 3, comma, minus, 1, ), end color #11accd

mart [117]

Answer:

The lines are perpendicular

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

Remember that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Find the slope of the first line

we have the points

(-3,-1) and (1,-9)

substitute in the formula

$m_1=\frac{-9+1}{1+3}$

$m_1=\frac{-8}{4}$

$m_1=-2$

Find the slope of the second line

we have the points

(1,4) and (5,6)

substitute in the formula

$m_2=\frac{6-4}{5-1}$

$m_2=\frac{2}{4}$

Simplify

$m_2=\frac{1}{2}$

Compare the slopes

$m_1=-2$

$m_2=\frac{1}{2}$

Find out the product

$m_1*m_2=(-2)(\frac{1}{2})=-1$

therefore

The lines are perpendicular

8 0

2 years ago

Read 2 more answers

A recipe for lemon bars uses 1 sticks of

alina1380 [7]

4 sticks of butter to make 4 batches of lemon bars

6 0

2 years ago

2 – Efetue:

BartSMP [9]

A) $7x(-5)$

A multiplicação de um numero positivo por um numero negativo resulta em um numero negativo: $(+) x (-)=(-)$

$(7x5)$

Multiplique os valores

$-35$

resposta para A: $-35$

B) $(-9)x(-8)$

A multiplicação dois números negativos resulta em um numero positivo : $(-)x(-)=(+)$

$9 x 8$

Multiplique os valores

$72$

Resposta para B : $72$

C) $(-15) : 5$

A divisão de um numero negativo por um positivo resulta em um numero negativo: $(-):(+)=(-)$

$-(15:5)$

Divida os números

$-3$

Resposta para C: $-3$

D) $125 : 25$

Divida os números

$5$

Resposta para D: $5$

POR FAVOR ME MARCA BRAINLIEST

5 0

2 years ago

The heights of the trees in a forest are normally distributed, with a mean of 25 meters and a standard deviation of 6 meters. Wh

Alla [95]

Answer:

2.3%

Step-by-step explanation:

The formula to convert x into z distribution is

$z=\frac{x-\mu}{\sigma}$

Where z is the test statistic

x is what we are looking for (in this case 37)

$\mu$ is the mean (in this case, it is 25)

$\sigma$ is the standard deviation (we have 6)

Plugging these into the formula, we get:

$z=\frac{x-\mu}{\sigma}\\z=\frac{37-25}{6}\\z=2$

Thus we can say we want $P(z\geq 2)$

Note: $P(z\geq a)=1-P(z\leq a)$

The table given is for any z where $P(z\leq a)$

Thus, now we have:

$P(z\geq 2)\\=1-P(z\leq 2)\\=1-0.9772\\=0.0228\\$

0.0228 into percentage is 0.0228 * 100 = 2.28%

Rounded, we get 2.3%

Third answer choice is right.

3 0

2 years ago

￼pls show steps and formula

pls show steps and formula