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4 years ago

How do you find this?

Mathematics

1 answer:

Molodets [167]4 years ago

4 0

Answer:

Step-by-step explanation:

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Please help need answers

Kaylis [27]

$\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet$

$\frak{Good\;Morning!!}$

$\pmb{\tt{Question\;1}}$

$\star\boldsymbol{\rm{Given-:}}$

Side length = 7 cm,
Side length = 5 cm.

$\star\boldsymbol{\rm{We're\;looking\;for-:}}$

Side length = x

This is how it's done.

$\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet$

There's a special formula that we can use if we need to find the longest side of a right triangle. Fortunately, all of these triangles are right ones! Good.

The formula is. $\boldsymbol{\rm{a^2+b^2=c^2}}$ . This formula is known as Pythagoras' Theorem. This formula only works for right triangles.

Since we have a and b, we can just put in the values (7 for a and 5 for b), And then simplify!

$\boldsymbol{\rm{7^2+5^2=c^2}}$ | 7^2 simplifies to 49, and 5^2 simplifies to 25

$\boldsymbol{\rm{49+25=c^2}}$ . | add

$\boldsymbol{\rm{74=c^2}}$ | square root both sides

$\boldsymbol{\rm{8.6=c}}}$ . | the answer is given to 1 decimal place, as the problem required

$\orange\hspace{350pt}\above5$

$\pmb{\tt{Question\;2}}$

Once more, we're given two sides, and asked to find the third one,

which is still the longest side.

$\boldsymbol{\rm{a^2+b^2=c^2}}$ is still the formula used here

Put in 5 for a and 3 for b.

$\boldsymbol{\rm{5^2+3^2=c^2}}$ | 5^2 simplifies to 25, and 3^2 simplifies to 9

$\boldsymbol{\rm{25+9=c^2}}$ | add

$\boldsymbol{\rm{34=c^2}}$ | square root both sides

$\boldsymbol{\rm 5.8=c}}$ | once again it's given to one decimal place

$\hspace{350pt}\above5$

$\pmb{\tt{Question\;3}}$

This problem is solved the exact same way

$\boldsymbol{\rm{a^2+b^2=c^2}}$

$\boldsymbol{\rm{8.2^2+4.7^2=c^2}}$

$\boldsymbol{\rm{67.24+22.09=c^2}}$

$\boldsymbol{\rm{89.33=c^2}}$

$\boldsymbol{\rm{9.5=c}}$ , rounded to one D.P.

$\orange\hspace{300pt}\above2$

$\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet$

$\pmb{\tt{Question4}}$

Here we have the longest side and one side length-:

$\boldsymbol{\rm{4^2+b^2=7^2}}$ | 4^2 simplifies to 16 and 7^2 simplifies to 49

$\boldsymbol{\rm{16+b^2=49}}$ | subtract 16 from both sides

$\boldsymbol{b^2=33}$ | square root both sides

$\boldsymbol{\rm{b=5.7}}$

$\orange\hspace{300pt}\above3$

$\pmb{\tt{Question\;5}}$

$\boldsymbol{\rm{3.8^2+b^2=7.9^2}}$

$\boldsymbol{\rm{14.44+b^2=62.41}}$

$\boldsymbol{\rm{b^2=47.97}}$

$\boldsymbol{\rm{b=6.9}}$

$\orange\hspace{300pt}\above3$

$\pmb{\tt{Question\;6}}$

$\boldsymbol{\rm{a^2+6.1^2=7.3^2}}$

$\boldsymbol{\rm{a^2+37.21=53.29}}$

$\boldsymbol{\rm{a^2=16.08}}$

$\boldsymbol{\rm{a=4.0}}$

$\pmb{\tt{done~!!!}}$

$\orange\hspace{300pt}\above3$

7 0

2 years ago

Is three lateral faces that are rectangles a triangular prism

Over [174]

Yes, the prism having three lateral faces as rectangles is a triangular prism.

8 0

3 years ago

A spinner is divided into 4 equal sectors that are colored green, red, yellow, and blue. The number of times the spinner lands o

Flura [38]

The probability of landing on the 4 spinners divided into four equal parts will be P=25%

<h3>What is probability? </h3>

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Here the spinner is divided into four parts of the colours green, red, yellow, and blue.So the number of the sample variable are:-

P(S)=[red,green,yellow,blue]=[4]

The favourable outcome is given as:-

F[s]=[1]

So the probability will be given by:-

P={1}÷{4}=0.25=0.25x 100=25\%

Hence the probability of landing on the 4 spinners divided into four equal parts will be P=25%

To know more about probability follow

brainly.com/question/24756209

#SPJ1

3 0

2 years ago

Univariate statistical tests are most appropriate for testing hypotheses that compare the characteristics of two groups. Group s

PolarNik [594]

Univariate statistical tests are most appropriate for testing hypotheses that compare the characteristics of two groups is False

Univariate statistical tests are statistical test that are used to observe a single variable. We can have one or more independent variables but we study only one dependent variable.

So, univariate statistical tests are not most appropriate for testing hypotheses that compare the characteristics of two groups.

So, Univariate statistical tests are most appropriate for testing hypotheses that compare the characteristics of two groups is False

Learn more about univariate statistical tests here:

brainly.com/question/13415579

3 0

3 years ago

What is the solution to this equation x+7=23

SSSSS [86.1K]

Answer:

x = 16

Step-by-step explanation:

16 + 7 = 23

23 - 7 = 16

5 0

4 years ago

Read 2 more answers