Find the missing side length of each right triangle

Answer:

Step-by-step explanation:

If we consider a triangle with the length of the hypotenuse being equal to 1 and the length of the opposite side = 3x.

However, recall that in a right-angle triangle;

SIne = opposite/hypothenuse

Thus; let the angle facing the opposite be y

Then;

SIn y = 3x/1

Sin y = 3x

Thus, y = arcsin (3x)

Now; to find cos(arcsin 3x)

Recall that:

Cosine = adjacent/hypotenuse

Now, using Pythagoras rule;

[tex]\mathsf{Adjacent \ side = \sqrt{(hypotenuse)^2 -(opposite^2)}}[/tex]

[tex]\mathsf{Adjacent \ side = \sqrt{(1)^2 -(3x^2)}}[/tex]

[tex]\mathsf{Adjacent \ side = \sqrt{1 -9x^2}}[/tex]

cos(arcsin 3x) = cos y = adjacent side/hypotenuse = [tex]\dfrac{\sqrt{1 -9x^2}}{1}[/tex]

cos(arcsin 3x) = [tex]\dfrac{\sqrt{1 -9x^2}}{1}[/tex]

Answer:

A.6w+8

B. 42

Step-by-step explanation:

im assuming the 8 is the length, so 8L

sorry if thats not what you meant

Answer:

x intercepts are -1, 1, and 2. y intercept is 4.

hope that helps

Step-by-step explanation:

Answer:

100000

Step-by-step explanation:

10x10=100

100x10=1000

1000x10=10000

10000x10=100000

Answer:

the answer would be a. As it is the only on parallel that crosses (6,11).

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Both are correct

-2(13)+10=-16

both their answers satisfy the equation

24 cases would be 104 dollars and 20 would be 80 dollars mark brainliest please

Answer:

150 feet i think

Step-by-step explanation:

50*3=150

Answer:

$954

Step-by-step explanation:

6% = 0.06

Adding 1 to the interest makes it so it’s added to the original amount.

$900 x 1.06 = $954

Answer: The figure and its image are congruent and the image has been translated 1 unit to the right.

Step-by-step explanation:

Answer:

8. (2, 0)

9. (3, 3)

10. equilateral

Answer:

The legs are the two sides that intersect to form the right angle and the hypotenuse is the side that is diagonal relative to those sides.

Answer:

  Use the Pythagorean Theorem to find the unknown side of a right triangle.

·         Solve application problems involving the Pythagorean Theorem.

Step-by-step explanation:

Answer:

20.984

Step-by-step explanation:

Just do:

3.984

+17.000

17 plus 3 equals 20 and .984 + 000 is .984

So your answer is 20.984

Answer:

A- Verify corresponding pairs of ANGLES are congruent by TRANSLATION.

Step-by-step explanation:

You find the congruent pairs by the angles, not the sides. Because the sides can be the same size but the angles can possibly not be congruent so you check by the angles. And Translation because you don't change the size of the object to see if it's congruent.

Similar triangles may or may not have congruent side lengths.

The true statement is: (a) verify corresponding pairs of angles are congruent by translation.

For the two triangles to be similar, the side lengths of both triangles may or may not be equal.

This means that: options (b) and (d) are not true

Translation does not alter side lengths and angles, while dilation alters measure of angles.

This means that:

The pair of corresponding angles should be checked by translating the triangles.

Hence, the true statement is: (a)

Read more about similar and congruent triangles at:

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Answer:

15

Step-by-step explanation:

Answer:

(65.5775 , 72.2225)

Step-by-step explanation:

Confidence Interval is the range around sample mean, likely to consist the population parameter.

Formula =  x' + z (s / √n)

= 68.9 + 2.5 (8.3 / √39)

= 68.9 +  3.3225

(65.5775 , 72.2225)

Answer:

quadrant 4 (both x and y are negative)

Step-by-step explanation:

Answer:

$24.50

Step-by-step explanation:

10.50 * 2 1/3 = 24.50

I would appreciate brainliest, have an amazing day

Answer:

480

Step-by-step explanation:

just looked up 8 hours to minuets

Answer:

the answer is 480 minutes :)

The two triangles are congruent by ASA congruence

angle a is equal to angle c as given

angle 1 is equal to angle 2 because they are vertically opposite

ab and bc are equal because b is the mid point of ac

so therfore abd is congruent to cbe by asa congruence

and by cpct we will get that

bd is equal to be

ad is equal to ec

Answer:

D-gravitational energy is converted to chemical energy

Step-by-step explanation:

Please give me brainliest

Step-by-step explanation:

For every 3 lemons Chrissy buys at a farm stand, the total cost increases by $1.80.

cost or 1 lemon = 1.8/3 = $0.6

It means the constant of proportionality is 0.6

If there are x no of lemons, then the total cost will be given by :

y = 0.6x

Hence, this is the required solution.

Answer:

The answer is 0.6

Step-by-step explanation:

Answer:

A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

x+(x+3)=27

2x+3=27

x=12

12+3=15

Larger number is 15, Smaller number is 12

Answer:

7.5 lbs

Step-by-step explanation:

We want to separate 45 pounds of flour by 6 people, which means we have to divide 45 by 6 to get 7 and 1/2 pounds or 7.5 lbs for each baker.

Answer:er./llllllll;tfph[n7j8ujhgedrsth5rdymu67igh8bn6[nmhylmnhhno9ooilhmny9yhju98y98079huj97

2634tu5yj

Step-by-step explanation:sfrnb kds 3i4huygr4vfb 4rf413qgweb31Y

they dont have a distributive 27 is only made of 3s and 52 does not divide by any multiple of 3

Answer:

40 percent.

Step-by-step explanation:

Two-fifths is the same as 4/10, which is the same as 40/100. Since percentages are a part of 100, 40/100 is 40 percent.

The correct percentage that is equivalent to 2/5 would be 40%.

Used the concept of percentage of a number which states that,

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.

Given that the equivalent number is 2/5.

Let us assume that the percentage form of equivalent number = x

Hence, it can be written as,

x% = 2/5

x/100 = 2/5

Cross multiplying,

5x = 2 × 100

5x = 200

Divide 5 on both sides,

x = 200/5

x = 40

Therefore, 40% is equivalent to 2/5.

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Answer:

a. 4 mysteries

Step-by-step explanation:

Let the number of books Lisa read be x.

5x-3 = 17

5x = 17 + 3

    = 20

x = 20 ÷ 5

x = 4

Answer:

$232

Step-by-step explanation:

Answer:

232

Step-by-step explanation:

Answer:

height: 16 inch

length of base: 10 inch

width of base: 50 feet

Step-by-step explanation:

128*(1/8)=16 inch

80*(1/8)=10 inch

x*1/8=6.25

x=6.25*8=50 feet

The height and length of the model will be 16 in and 10 in respectively, and  the width of the building will be 50 feet.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

Given that, the scale factor of the building and a model of it is 1/8.

Height of the model = 128/8 = 16 in

Length of the model = 80/8 = 10 in

Width of the model = 6.25*8 = 50

Hence, The height and length of the model will be 16 in and 10 in respectively, and  the width of the building will be 50 feet.

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