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3 years ago

Complete the following.

Mathematics

1 answer:

Otrada [13]3 years ago

4 0

Answer:

Step-by-step explanation:

1) the triangle is a right angle triangle.

From the given right angle triangle,

With 67° as the reference angle,

x represents the adjacent side of the right angle triangle.

17 represents the opposite side of the right angle triangle.

To determine x, we would apply

the Tangent trigonometric ratio.

Tan θ = opposite side/adjacent side.

Therefore,

Tan 67 = 17/x

xTan 67 = 17

x = 17/Tan 67

x = 17/2.3559

x = 7.22

2) From the given right angle triangle, with 24° as the reference angle,

x represents the opposite side of the right angle triangle.

12 represents the adjacent side of the right angle triangle.

To determine x, we would apply

the Tangent trigonometric ratio.

Tan θ = opposite side/adjacent side.

Therefore,

Tan 24 = x/12

x = 12Tan 24

x = 12 × 0.4452

x = 5.34

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Determine if the angles are greater than (>), less than (<), or equal (=) to each other.

Gwar [14]

Opposite side to <WYX=WX
Opposite side to <XWY=XY

Here

WX=12
XY=15

WX<XY

$\\ \sf\longmapsto$

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3 years ago

17/18 - 8/9 equal out to

Nutka1998 [239]

$\frac{17}{18}$ - $\frac{8}{9}$ =x
You must find a common denominator(bottom)
$\frac{8}{9}$ × $\frac{2}{2}$ = $\frac{16}{18}$
$\frac{17}{18}$ - $\frac{16}{18}$ = $\frac{1}{18}$
Your answer is x= $\frac{1}{18}$

8 0

3 years ago

To mix plaster for a dental model, 35 mL of water is used for 100g of plaster. How many mL of water should be used for 250g of p

laila [671]

Okay, here we have this:

Considering the provided information, we are going to calculate the requested value, so we obtain the following rule of three:

$\begin{gathered} \frac{x}{35mL\text{ of water}}=\frac{250g\text{ of plaster}}{100g\text{ of plaster}} \\ x=\frac{250g\text{ of plaster}}{100g\text{ of plaster}}\cdot35mL\text{ of water} \end{gathered}$

Solving for x:

$\begin{gathered} x=2.5\cdot35mL\text{ of water} \\ x=87.5mL\text{ of water} \end{gathered}$

Finally we obtain that 87.5mL of water should be used for 250g of plaster.

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1 year ago

Which angle do ΔEBC and ΔADC share?

BARSIC [14]

Answer:

The angle in C

Step-by-step explanation:

6 0

2 years ago

NEED HELP QUICK!!

sashaice [31]

Answer:

Y = negative x + 9

Step-by-step explanation:

Find the equation of the line for side S-

m= 4-1/1-4 = 3/-3 = -1

<u>The Gradient is -1</u>

Since parallel lines share the same gradient, it should be either of the first two options.

We can see side Q shares the same gradient: 3-6/6-3= -1

Find the equation of the line of side Q-

y-y1= m(x-x1)

y-6= -1(x-3)

y-6=-x+3

4 0

2 years ago

Read 2 more answers