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3 years ago

I need help, i don’t understand how to do it

Mathematics

1 answer:

3241004551 [841]3 years ago

3 0

Hai , you can use Pythagoras Theorem to find the length which is hypotenuse.

It will be 7^2 + 3^2 = 58

square root 58 and you will get 7.62

Hope this helps and i am sorry if my answer was wrong .

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The point (7, 8) is the solution of which of the following systems of equations?

Alex73 [517]

Option 4

Verification:-

$\\ \sf\longmapsto x-7y=-49$

$\\ \sf\longmapsto 7-7(8)=-49$

$\\ \sf\longmapsto 7-56=-49$

$\\ \sf\longmapsto -49=-49$

And

$\\ \sf\longmapsto 10x+9y=142$

$\\ \sf\longmapsto 10(7)+9(8)=142$

$\\ \sf\longmapsto 70+72=142$

$\\ \sf\longmapsto 142+142$

Hence verified

8 0

2 years ago

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Find the 4th term of the expansion of (x+2)^5.

djyliett [7]

Answer:(2x + 5)⁵

Step-by-step explanation:I assume you mean the 4th term of the expansion of (2x + 5)⁵. The coefficient can be found from pascal's triangle.

3 0

3 years ago

Two certificates of deposit pay interest that differ by 3%. Money invested for one year in the first CD earns $240 interest. The

Soloha48 [4]

a = interest rate of first CD

b = interest rate of second CD

and again, let's say the principal invested in each is $X.

$\bf a-b=3\qquad \implies \qquad \boxed{b}=3+a~\hfill \begin{cases} \left( \frac{a}{100} \right)X=240\\\\ \left( \frac{b}{100} \right)X=360 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{a}{100} \right)X=240\implies X=\cfrac{240}{~~\frac{a}{100}~~}\implies X=\cfrac{24000}{a} \\\\\\ \left( \cfrac{b}{100} \right)X=360\implies X=\cfrac{360}{~~\frac{b}{100}~~}\implies X=\cfrac{36000}{b} \\\\[-0.35em] ~\dotfill\\\\$

$\bf X=X\qquad thus\qquad \implies \cfrac{24000}{a}=\cfrac{36000}{b}\implies \cfrac{24000}{a}=\cfrac{36000}{\boxed{3+a}} \\\\\\ (3+a)24000=36000a\implies \cfrac{3+a}{a}=\cfrac{36000}{24000}\implies \cfrac{3-a}{a}=\cfrac{3}{2} \\\\\\ 6-2a=3a\implies 6=5a\implies \cfrac{6}{5}=a\implies 1\frac{1}{5}=a\implies \blacktriangleright 1.2 = x\blacktriangleleft$

$\bf \stackrel{\textit{since we know that}}{b=3+a}\implies b=3+\cfrac{6}{5}\implies b=\cfrac{21}{5}\implies b=4\frac{1}{5}\implies \blacktriangleright b=4.2 \blacktriangleleft$

3 0

3 years ago

VERY IMPORTANT I NEED HELP!!!

Advocard [28]

Answer:

2√3

Step by step Explanation:

$= > \frac{ \sqrt{96} }{ \sqrt{8} } \\ \\ = > \frac{ \sqrt{12 \times 8} }{ \sqrt{8} } \\ \\ = > \frac{ \sqrt{12} \times \sqrt{8} }{ \sqrt{8} } \\ \\ = > \sqrt{12} \\ \\ = > \sqrt{4 \times 3} \\ \\ = > \sqrt{2 \times 2 \times 3} \\ \\ = > 2 \sqrt{3}$

3 0

3 years ago

Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was t

IrinaVladis [17]

Answer:

The brand name television's dimensions are 32 inches by 64 inches.

Step-by-step explanation:

Scaling

Jason is considering two similar televisions at a local store. The sizes of the generic television are 3/8 the size of the brand name.

If we knew the size of the brand name television, we would have to multiply its dimensions by 3/8, but instead, we have the dimensions of the generic television, so to find the brand name television, we multiply by 8/3.

12 inches * 8/3 = 32 inches

24 inches* 8/3 = 64 inches

The brand name television's dimensions are 32 inches by 64 inches.

8 0

2 years ago

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