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Elden [556K]
3 years ago
9

Can someone help me on this question?

Mathematics
1 answer:
notsponge [240]3 years ago
3 0

Answer:

x = 19.6

Step-by-step explanation:

By applying cosine rule in ΔBCD,

cos(30)° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

              = \frac{BC}{BD}

\frac{\sqrt{3}}{2}=\frac{BC}{16}

BC = 8\sqrt{3}

Now, by applying sine rule in ΔBAC,

sin(45)° = \frac{\text{Opposite side}}{\text{Hypotenuse}}

\frac{1}{\sqrt{2}}=\frac{AB}{BC}

\frac{1}{\sqrt{2}}=\frac{x}{8\sqrt{3}}

x = 8\sqrt{6}

x = 19.59

x ≈ 19.6  

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Multiple choice can someone please answer please
Furkat [3]

Answer:

n = 6

Step-by-step explanation:

Since the triangles are similar then the ratio of corresponding sides are equal, that is

\frac{GH}{QR} = \frac{FH}{PR} , substitute values

\frac{n}{9} = \frac{4}{6} ( cross- multiply )

6n = 36 ( divide both sides by 6 )

n = 6

5 0
3 years ago
Nellie and her younger sister Debbie share expenses on a holiday. Nellie spends $122 more than Debbie. Their total expenses amou
VMariaS [17]

Answer:

see below

Step-by-step explanation:

Let N = how much Nellie spends

Let D = how much Debbie spends

Part A

Nellie spends $122 more than Debbie.

N= D +122

Their total expenses amount to $840.

N+D =840

The two equations are

N= D +122

N+D =840

Part B

We can substitute the first equation which is solved for N into the second equation.  Every place we see an N in the second equation, we replace it with D+122

Part C

N= D +122

N+D =840

(D+122) +D = 840

Combine like terms

2D +122 = 840

Subtract 122 from each side

2D+122-122=840-122

2D =718

Divide by 2

2D/2= 718/2

D =359

Debbie spends 359

7 0
3 years ago
❗️❗️Pleaseeee helpppp❗️❗️
inysia [295]
Oma made a mistake in step B, because she should have divided both sides by b instead of just moving it to the other side. The real next step would look like:
(2A)/b=h
6 0
3 years ago
Determine the x-intercept and the y-intercept for the graph of this equation:<br> 2x - 3y + 36 = 0
natali 33 [55]

QUESTION:- DETERMINE THE X-INTERCEPT AND THE Y-INTERCEPT FOR THE GRAPH OF THE EQUATION.

EQUATION:- 2x - 3y + 36 = 0

STANDARD EQUATION:- y=mx+c

where

  1. m-> slope.
  2. c-> Y-INTERCEPT
  3. x&y are the coordinates.

SO GIVEN EQUATION:- 2x - 3y + 36 = 0

WE CAN SOLVE THIS TO CHANGE IN FORMAT OF STANDARD EQUATION

2x - 3y + 36 = 0 \\ 2x + 36 =3y \\ y =  \frac{2}{3} x +  \frac{36}{3}  \\ y =  \frac{2}{3} x +  \frac{ \cancel{36}^{ \:  \: 12} }{ \cancel3}  \\ y =  \frac{2}{3} x +  12 \\

SO :-

m =  \frac{2}{3}  \\ y - intercept = 12 \: ans

slope =  \frac{y2 - y1}{x2 - x1}  \\  \frac{2}{3}  =  \frac{0  - 12}{x  - 0}  \\ 2x = ( - 12) \times 3 \\ x =  \frac{ -  \cancel{12}^{ \:  \: 6} \times 3 }{ \cancel{2}} \\  x =  - 18 \:  \: ans

7 0
3 years ago
What is the answer to this?
Jet001 [13]

Answer:

A. Correct

B. Correct

C. Incorrect

D. Incorrect

E. Incorrect

Step-by-step explanation:

A and B. are correct because when divided down to decimals they equal 0.5

3 0
3 years ago
Read 2 more answers
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