If you know that the hypotenuse of a 30-60-90 triangle is 124 cm, explain how you find the lengths of the other two sides.​

Answer:

79 degrees

Step-by-step explanation:

79 degrees is parallel to a. The line below is the same as the line above, since they are parallels, beaning d and b also are both 79 degrees

Answer:

[tex]79^{\circ}[/tex]

Step-by-step explanation:

From vertical angles, [tex]m\angle a=79^{\circ}[/tex]

From corresponding angles, [tex]m\angle b=m\angle a[/tex]

Therefore, we have [tex]m\angle b=m\angle a=\boxed{79^{\circ}}[/tex]

Answer:

90°

Step-by-step explanation:

m arc AC = 90°

_____________

The measure of the arc length AC is 90 degrees.

The arc length of a circle is the distance between two points on the curve of the circle.

We have,

The arc length and the angles with the center on a circle are equal.

So,

Arc length AC makes a 90-degree angle with the center of the circle.

Now,

Arc AC = 90 degrees.

Thus,

The measure of the arc length AC is 90 degrees.

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Answer: tasha's investment will be worth $1,440

Step-by-step explanation:

4%= 4/100= 0.04

PRT=6,000*0.04*6= $1,440

Answer:

Step-by-step explanation:

for missing angle of triangle ABC

let the missing angle be y

31+111+x=180(sum of interior angle of a triangle is 180 degree)

142+y=180

y=180-142

y=38 degree

x=y(being alternate angles)

x=38 degree

Answer:

Step-by-step explanation:

To determine price per lb, divide dollar amount by lbs.

- Company A sells 2 1/2lbs (2.5lbs) for $32.50

So, Company A's price / lb = ($32.50/2.5lbs) = $13.00/lb

- Company B sells 2 3/4lbs (2.75lbs) for $35.00

And, Company B's price / lb = ($35.00/2.75lbs) = $12.73/lb

Therefore, Company B is offering the lowest price/lb at $12.73/lb.

Answer:

∠E = 150°

Step-by-step explanation:

All sides of the convex pentagon ABCDE are of equal length, and ∠A = ∠B = 90°. What is the degree measure of ∠E?

Solution:

A pentagon is a polygon with five sides and five angles. For a regular polygon, all the sides are equal and each angle is 108°.

Since ∠A and ∠B are right angles, and AE = BC = AB = CE. Therefore ABCE is a square. This means ∠AEC = 90°

Also triangle CDE is equilateral because all sides of the triangle are equal, hence ∠DEC = 60°.

Therefore ∠E = ∠AEC + ∠DEC = 90° + 60°

∠E = 150°

Answer:

-44.35

Step-by-step explanation:

1/4 = 0.25 (as 0.25 * 4 = 1)

-25 1/4 = -25.25

-25.25 - 19.1 = -44.35

The value is -44.35.

The process of replacing a mathematical expression with one that is equivalent, simpler, and typically shorter. Examples of simplification include simplifying algebraic expressions in computer algebra, simplifying Boolean expressions in logic optimization, and simplifying fractions by using conjunction elimination in logic inference to produce a formula that is simpler but typically not equivalent to the original.

Given [tex]-25\frac{1}{4}[/tex] - 19.1

[tex]-25\frac{1}{4}[/tex] can be written as -(25 + 1/4)

1/4 multiply and divide by 25

we get 25/100

to convert fraction into decimal make the base multiple of 10 and put decimal ahead the no. of digits

20/100 = 0.25

equation is -25.25 - 19.1 = -44.35

Hence the value is -44.35.

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Answer:

8. hope this helps

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

5 )

x^2 = 5^2 + 5^2

x^2 = 2 × 5^2

x = √( 2 × 5^2 )

x = 5√2 cm

_____________

6 )

x^2 = 30^2 + 40^2

x^2 = 900 + 1600

x^2 = 2500

x = √2500

x = 50 yards

The answer is not listed in the options. The credit score points are 170.

To determine the answer, we need to find the interest rate and monthly payment associated with Stanley's credit score of 544.

Since Stanley's credit score is not listed in the table, we need to estimate the interest rate and monthly payment based on the information provided. Generally, the lower the credit score, the higher the interest rate and monthly payment.

Let's assume that Stanley's interest rate would be 10% and his monthly payment would be $1,000 based on his credit score of 544.

Using the table, we can see that for a $150,000 mortgage with a 10% interest rate, the monthly payment would be $1,316.

Now, we need to determine how much Stanley can afford to pay per year in mortgage payments, which is $12,000. We can divide $12,000 by the monthly payment of $1,316 to get the number of payments he can make in a year: $12,000 ÷ $1,316 = 9.12 payments.

Since there are 12 months in a year, Stanley can only make 9 payments per year. Therefore, he can only afford a mortgage with 9 payments of $1,316, which is $11,844 per year.

To afford a $150,000 mortgage, Stanley would need to lower his interest rate or increase his monthly payment. Since he cannot afford a higher monthly payment, he would need to improve his credit score to lower his interest rate.

Looking at the table, we can see that the interest rate associated with a credit score of 675-699 is 6.25%, which would result in a monthly payment of $924. To afford a $150,000 mortgage with a monthly payment of $924, Stanley would need to improve his credit score by 544 - 675 + 1 = 170 points.

Therefore, the answer is not listed in the options.

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Answer:

(1/4)CD

Step-by-step explanation:

The length of a segment that represents 25% will be 1/4 as long as the segment representing 100%.

25% is 1/4 of 100%

25% = 1/4 = 0.25

Answer:

Spirometer measurement is the most appropriate instrument to use

Step-by-step explanation:

Answer:

you need all answers????

Answer:

The initial arm of an angle rotates to its terminal position, either in a positive, counterclockwise direction or a negative, clockwise direction. The principal angle is the first positive angle less than 360°.

The positive angle formed when an angle is in a standard position is called principal angle.

An angle is formed at the point where two or more lines meet.  And it is said to be in a standard position if its edge is located at to the origin with its initial arm in line with the horizontal axis. The initial arm of an angle is the side with which the angle is measured from, while the terminal arm is the side on which the measure of an angle terminates. Thus, angles are normally measured from there initial arm to the terminal arm.

Therefore, the first positive angle formed between the initial and terminal arm of an angle in a standard position is usually called the principal angle.

A sketch for more clarifications is herewith attached to this answer.

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Answer:

The mentioned number in the exercise is:

Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

We can write:

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

And we'll use the second equation to obtain the value of y (the tens digit):

Organizing the digits, we obtain the number:

As you can see, the obtained number is 362.

Answer:

The answer final is : 11x  I'm very sure

Step-by-step explanation:

If you want me to expand on the equation leave me a comment

Answer:

∠1 = ∠5 (corresponding angle)

⇒∠5 = 50 deg

∠5+∠6=180 deg   (total sum is 180)

50+∠6=180

∠6=180-50

∠6=130

Step-by-step explanation:

∠5=86 (corresponding angle)

∠5=(4x+38) (vertically opp angle)

86=4x+38

4x=86-38

4x=48

x=12

Answer:

angle 1+angle 6=180(being exterior alternate angle)

50+angle 6=180

angle 6=180-50

angle 6=130

for value of x

angle 5=86 degree(being corresponding angle)

angle 5=angle 4x-38

86=4x-38

86+38=4x

124/4=x

31=x

relationship between angle 2 and 6 is they are corresponding angles

angle 1=63+61

angle 1=124 degree

5 no .second option is correct

6 no a=75 degree

last question answer =34 degree

Step-by-step explanation:

Answer:

1,317,840

17×17=289×16=4,624×19=87,856×15=1,317,840

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\rm{YOUR\ EQUATION: \dfrac{x}{2}}[/tex]

[tex]\large\text{If x = 16, then substitute it where the x-value is in the given equation}[/tex]

[tex]\rm{NEW\ EQUATION: \dfrac{16}{2}}[/tex]

[tex]\rm{\dfrac{\bold{16}}{{2}}[/tex]

[tex]\rm{= \underline{\bf 8}}[/tex]

[tex]\large\text{Because, 8}\times\large\text{2 gives you 16}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf Option A. 8}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

2x²−13x+21

Step-by-step explanation:

Answer: x+4/x-4

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

10^-2 = 1/100

1/100 * 5 = 0.05 or 1/20

Answer:

can't answer without the picture because you need the route to know how far.

Answer:

d

Step-by-step explanation:

Answer:

Results are below.

Step-by-step explanation:

It is not clear what the question is. But, I will assume that we need to calculate the future value of each investment at age 65.

First, we need to calculate the future value of the monthly deposit made by Ben. We will use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit= 500

Interest rate (i)= 0.11/12= 0.0092

Number of months (n)= (26 - 19)*12= 84

FV= {500*[(1.0092^84) - 1]} / 0.0092

FV= $62,944.74

Now, the future value of the investment of Ben at age 65:

FV= PV*(1 + i)^n

n= (65 - 26)*12= 468 months

FV= 62,944.74*(1.0092^468)

FV= $4,574,131.31

Finally, the future value of the investment for Arthur:

i= 0.0092

n= (65 - 27)*12= 456

A= 500

FV= {500*[(1.0092^456) - 1]} / 0.0092

FV= $3,484,032.07

Answer:

74

3n+2

3×24=72

72+2=74

Answer:

Angles of depression and elevation

The term angle of elevation denotes the angle from the horizontal upward to an object. The term angle of depression denotes the angle from the horizontal downward to an object. ... An observer's line of sight would be below the horizontal.

Step-by-step explanation:

I hope it's help u

Answer:

The answer is 21 remainder 6

Step-by-step explanation:

20 / 52 = 5 / 13

Probability(P) is the likelihood of occurrence of an event. It is given by;

P = total number of favourable outcomes ÷ total number of possible outcomes

In a pack of playing cards, there are 52 cards altogether.

Therefore, the total number of possible outcomes = 52

To get the probability that a card drawn at random is neither a face nor a black card, the following should be noted.

i. There are 12 face cards in the pack. These are the kings (4 cards), queens(4 cards) and the jacks (4 cards).

Therefore, number of cards that are not face cards = 52 - 12 = 40

ii. Black cards are half of the total number of cards = 26.

These black cards contain half of the kings, queens and jacks cards = 6 which are already included in the face cards. Therefore, the remaining black cards will be 26 - 6 = 20

Neither a face card nor a black card = 40 - 20 = 20 [number of favourable outcomes]

The probability of getting neither a face card nor a black card is

=> total number of favourable outcomes ÷ total number of possible outcomes

=> 20 / 52 = 5 / 13