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2 years ago

I need some help with this problem

Mathematics

1 answer:

Contact [7]2 years ago

4 0

For a 45-45-90 triangle if the sides rae x then the the hytponuse is x√2
(x is the missing side)

5. 10=x√2
10/√2=x
rationalize denom, times top and bottom by √2
10√2/2=x
5√2=x=XY

6. 12√2=YZ

7.
7√2=XZ

8.
7*2=14=XZ

for 30-60-90
the side oposite the 30 deg is x
side oposite 60 is x√3
side oposite right angle is 2x
hyptonuse is oposite right angle
20=2x
10=x=shorter leg
shorter leg is 10 units
the hyptonuse

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Find the ratio of the trig function indicated.

Andrew [12]

Answer:

$\huge\boxed{\bf\:Ratio = 4:5}$

Step-by-step explanation:

We have a right angled triangle given.

At first, let's note that, sin θ = oppposite side of the triangle / hypotenuse of the triangle.

Now, in the given triangle, from the view of ∠θ,

Opposite side of the triangle = 8
Hypotenuse = 10

Then,

$\sin \theta = \mathrm{\frac{opposite \: side}{hypotenuse}}\\\sin\theta = \frac{8}{10}\\\sin\theta = \frac{4}{5}\\\\\\\Longrightarrow \boxed{\mathrm{Ratio = 4:5}}$

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5 0

1 year ago

The points H, I, J and K all lie on the same line segment, in that order, such that the

tresset_1 [31]

Answer:

IJ = 12

Step-by-step explanation:

sum the parts of the ratios, 3 + 3 + 4 = 10 parts

Divide HK by 10 to find the value of one part of the ratio.

40 ÷ 10 = 4 ← value of 1 part of ratio , then

IJ = 3 parts = 3 × 4 = 12

6 0

3 years ago

Write an equation of the line that is perpendicular to y = 1/2

atroni [7]

Answer:

the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)

= -5 = -2x + 15

Step-by-step explanation:

Write an equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5).

Using the slope intercept equation,

y = mx +c

m = slope = 1/2

For two lines to be perpendicular, the product of their slopes is -1

Let the slope of the other line be m2

m1×m2 =-1

1/2×m2 = -1

m2 = -1/(1/2) = -2

Slope of line = -2

For points (10, -5), x = 10, y =-5

-5 = -2× 10 +c

-5 = -20+ c

c = -5+20= 15

the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)

-5 = -2x + 15

6 0

3 years ago

HELP ME PLZ IN NEED THIS DONE BY 8:10

Stella [2.4K]

Answer 16.

Step-by-step explanation:

First you replace the xs with 1/2

(√2•1/2+3)/(6•1/2-5)

Then you solve the multiplications

2•1/2=1

6•1/2=3

Now write them in

(√1+3)/(3-5)

Simplify

(√4)(-2)

Root of 4 equals to

2/-2

And the answer is -1

Answer 17:

Replace x with 8

1/2•8^2-(1/4•8+3)

Solve parenthesis, multiplication first

1/2•8^2-(2+3)

1/2•8^2-(5)

1/2•8^2-5

Solve the 8^2 and the 1/2

1/2•64-5

32-5

The answer is 17

3 0

2 years ago

In an experiment examining the effects Tai Chi on arthritis pain, Callahan (2010) selected a large sample of individuals with do

Volgvan

Answer:

a) Participants in Tai Chi course

b) Nominal

c) Magnitude of arthritis pain

d) Ordinal

Step-by-step explanation:

TYPES OF VARIABLES:

Independent Variable:

An independent variable is the one controlled or changed in an experiment to test the effects on the dependent variable. If this variable is changed, there shall be effects on the experiment.

In this case, number of participants in the course was independent.

Dependent Variable:

Dependent variable is the one being tested and measured. If the independent variable changes, this variable will show the effect of the changes.

The variables can be determined by their cause and effect on the experiment.

TYPES OF SCALES:

There are two variations in types of scales; Quantitative and Qualitative.

Qualitative variables are measured by either nominal or ordinal scale, while quantitative variables are measured by ratio or interval.

Nominal scale:

Nominal scales assign identifiers as labels to objects or classes of objects. The assigned numbers carry no additional meaning except as identifiers for example: patient A, patient B etc.

Ordinal scale:

Ordinal scales assign numbers to objects to rank an attribute. For example: Level of pain 1 - 10, Level of satisfaction etc.

Interval:

In an interval scale, numbers are assigned to objects such that the interval helps in interpretation of the variables. For example: age of patients: 30 - 40, 40 - 50 etc.

Ratio:

Ratio scales includes an absolute “zero” point. For example, Rate of arthritis in patients of a particular age etc.

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3 years ago