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3 years ago

Work out the length of ab, give your answer to 3 significant figures

Mathematics

2 answers:

Aleksandr [31]3 years ago

7 0

Answer:

D = 9.85 units

Step-by-step explanation:

A (1,7) and B(10,3)

Using Distance Formula to find the length

=> Distance Formula = $\sqrt{(x2-x1)^2+(y2-y1)^2}$

=> D = $\sqrt{(10-1)^2+(3-7)^2}$

=> D = $\sqrt{(9)^2+(-4)^2}$

=> D = $\sqrt{81+16}$

=> D = $\sqrt{97}$

=> D = 9.85 units (Upto 3 sfs)

Klio2033 [76]3 years ago

4 0

Answer:

D = 9.85 units long

Step-by-step explanation:

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under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box

Anestetic [448]

Step-by-step explanation:

The equation of line passing through the two points is $\frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}$

When substituted,the equation becomes $\frac{y-6}{x-2}=\frac{18-6}{6-2}$

which when simplified is $y=3\times x$

The line clearly passes through origin.

The distance between two points is $\sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}$

Distance between origin and $(2,6)$ is $\sqrt{40}$ .

Distance between origin and $(6,18)$ is $\sqrt{360}$

Scale factor is $\frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}$

So,scale factor is $\frac{\sqrt{360} }{\sqrt{40} }$

which when simplified becomes 3.

6 0

2 years ago

Please help me, I don't understands this question

Rudik [331]

It would be none because the same would be the reciprocal which would be (-7, -8.75)

8 0

3 years ago

PLEASE HELP FAST!! WILL MARK AS BRAINLIEST IF GIVEN GOID ANSWER....

lyudmila [28]

Answer:

x = 36

y = 37.95

Step-by-step explanation:

By geometric mean property:

${12}^{2} = 4 \times x \\ \\ 144 = 4 \times x \\ \\ x = \frac{144}{4} \\ \\ x = 36 \\ \\$

By Pythagoras Theorem:

${y}^{2} = {12}^{2} + {x}^{2} \\ \\ {y}^{2} = {12}^{2} + {36}^{2} \\ \\ {y}^{2} = 144 + 1296 \\ \\ {y}^{2} = 1440 \\ \\ y = \sqrt{1440} \\ \\ y = 37.95$

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2 years ago

Find the area of a circle which has a diameter of 26 centimeters.Round to the nearest hundredth (2 spaces beyond the decimal)

Marina86 [1]

Answer:

531 cm^2 approx

Step-by-step explanation:

Given data

Diameter= 26 cm

radius= d/2= 26/2= 13 cm

Area= πr^2

substitute

A= 3.142*13^2

A= 3.142*169

A= 530.998

A= 531 cm^2 approx

5 0

2 years ago

According to the same report, the 28.5 million passengers in 2018 represented a 6.7% increase in cruise passengers since 2017. h

Alisiya [41]

The number of cruise passengers must there have been in 2017 is 26.7 million.

<h3>What is percentage?</h3>

The term "percentage" comes from the Latin phrase "per centum," meaning "by the hundred." Percentages represent fractions with a denominator of 100. In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Now according to the question;

Let x represent the total number for cruise passengers during 2017.

In 2018, a 6.7% rise in x results in 28.5 million cruise passengers.

So, 106.7 % of x = 28.5

$\begin{aligned}&\frac{106.7}{100} * x=28.5 \\&\frac{106.7 x}{100}=28.5\end{aligned}$