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shepuryov [24]
3 years ago
5

Find the height of the triangle. hypotenuse=10, right angle, opposite angle=20º

Mathematics
1 answer:
yan [13]3 years ago
7 0

here if 20 degree angle is in base line then we would take sin of 20

because sin theta = height / hupotaneous

sin 20 = height/ 10

height = 10 times sin 20 = 10 times *0.34 = 3.4

But if angle 20 in on the line making height of the triangle then the base line of angle 20 degree would be the height of triangle )

we would take : cos 20 =base / hypotaneous

cos 20 = base / hypotaneous

cos 20 = base / 10

base = 10 cos 20 = 10 * 0.93 = 9.3

As per the given question if 20 degree angle lie on horizontal line answer should be 3.4

OR if angle 20 degree lie on vertical line then answer is 9.3

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Meaghan started a baking service. During her first month in business, Meaghan spent $380 on supplies and drove 800 miles at an a
madam [21]

Answer:2182 after expenses

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4 0
3 years ago
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PLEASEEEE HELPPP MEEE <br> 6 and 7 PLEASE
Nitella [24]

Answer:

Question 6

\left(5a+2\right)\left(a+4\right)=\:5a^2+22a+8

Question 7

The width is 2x.

Step-by-step explanation:

                                           Question 6)

Expand

(5a+2)(a+4)

solving to the expand

(5a+2)(a+4)

  • \mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd

a=5a,\:b=2,\:c=a,\:d=4

so the expression becomes

=5aa+5a\cdot \:4+2a+2\cdot \:4

=5aa+5\cdot \:4a+2a+2\cdot \:4

=5a^2+20a+2a+8

adding similar elements: 20a+2a=22a

=5a^2+22a+8

Hence,

\left(5a+2\right)\left(a+4\right)=\:5a^2+22a+8

                                                  Question 7)

Given

  • A\:=\:8x^2
  • l=4x

Using the formula

width = Area/Length

          =\:\frac{8x^2}{4x}

          =2x                  ∵ \mathrm{Divide\:the\:numbers:}\:\frac{8}{4}=2

Therefore, the width is 2x.

5 0
4 years ago
What is y-2=-3x(x-7) written in standard form?
Len [333]

Answer:

The equation in standard form is  

2

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=

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Explanation:

The standard form for a linear equation is  

A

x

B

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=C

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A

,

B

,

and

C

are numbers, and  

x

and

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y

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Multiply both sides by  

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use the method of successive differences to determine the next number in the given sequence 4; 32; 160; 798; 2706; 7164; 16,142
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Answer:

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170

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4; 32; 160; 798; 2706; 7164;16142

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8th: 170+690+1970+4520+8978+16142=32470

4 0
3 years ago
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