The length of the hypotenuse of a 30°–60°–90° triangle is 4. find the perimeter

Answers

Answer 1

3.46 + 4 + 2 = 9.46

Hypotenuse= 2x
2x=4
Long side= sq root of 3 multiplied by 2 is 3.46
Short side= x
x=2

Related Questions

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 75 miles per hour. The westbound train travels at 65 miles per hour. How long will it take for the two trains to be 196 miles apart?

Answers

75+65=140
196/140=1.4 hrs, or 84 minutes
☺☺☺☺

What is the value of x?

Enter your answer in the box.
x =
°
Triangle A B C with angle A measuring thirty degrees, angle B measuring seventy degrees and angle C marked x

Answers

Since triangles always have a total amount of 180 degrees, adding the amounts we already know and subtracting that amount from 180, we get the value x. So the answer would be 80 degrees.

Answer: In a triangle, the sum of the 3 angles is always equal to 180°

Then if the angle A is equal to 30°, the angle B is equal to 70°, what is the angle C?

if x is the angle C, and using the first statement, we got:

30° + 70° + x = 180°

100° + x = 180°

x = 180° - 100° = 80°

So the angle of C is equal to 80°.

Find a) the GCM (Greatest Common Multiple) and b) the LCM (lowest common multiple:
x²- 3x + 2; x²- 4x + 4

Answers

I assume you mean to find (a) the GCF (greatest common factor) and (b) the least common multiple LCM.

To do both parts, you need ot factor the polynomials.

x^2 - 3x + 2 = (x - 2)(x - 1)
x^2 - 4x + 4 = (x - 2)(x - 2) = (x - 2)^2

(a) GCF: use only common factors with lower exponent.

The GCF is x - 2

(b) LCM: use common and not common factors with the larger exponent.

The LCM is (x - 2)^2(x - 1)

On a given blueprint, 1 inch=12 feet. if the dimensiopns of a recreation room on the blueprint are 2 onches x 1.75 inches. what are its actual measurements

Answers

On a given blueprint, 1 inch=12 feet. if the dimensiopns of a recreation room on the blueprint are 2 onches x 1.75 inches. what are its actual measurements

Unit conversion is the conversion of one unit to another unit with its standard conversion.

The actual dimension of the recreation room is 24 feet x 21 feet.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 minute = 60 seconds

1 km = 1000 m

1m = 100 cm

1 hour - 60 minutes

We have,

Recreation room dimension on the blueprint:

= 2 inches x 1.75 inches ______(A)

Scale factor:

1 inch = 12 feet

The actual dimension of the recreational room:

1 inch = 12 feet

Multiply 2 on both sides.

2 inches = 24 feet _____(1)

1 inch = 12 feet

Multiply 1.75 on both sides.

1.75 inches = 1.75 x 12 feet

1.75 inches = 21 feet ______(2)

From (1) and (2) and (A) we get,

= 2 inches x 1.75 inches

= 24 feet x 21 feet

Thus,

The actual dimension of the recreation room is 24 feet x 21 feet.

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3 different problems, sorry these type confuse me

f(x) = 5x - 1 and g(x) = 6x, find f(g(x))

f(x) = 5x - 1 and g(x) = 6x, find g(f(x))

f(x) = 5x - 1 and g(x) = 6x, find g(f(2))

Answers

f [g(x)]
= 5(6x) - 1
= 30x - 1

g [f(x)]
= 6(5x - 1)
= 30x - 6

g [f (2)]
= 6 [5(2) - 1]
= 6 (10 - 1)
= 60 - 6
=54

Given that BC = 7, AB = 17.89, and C is between A and B, what is the length of ?

Answers

*assuming that ABC is a straight line**
then you have
AB = 17.89 ..... this is the length of the whole line

BC is a part of the line = 7

therefore the length of the other part = 17.89 - 7

= 10.89

17.89-7=10.89
You know that the distance from A to b is 17.89 and the distance from b to c is 7. So the length from a to c is the whole distance(a to b) subtracted by a portion of the distance(b to c) giving us 10.89

You can use a minus sign to make a negative number like -2. what happens if you put a plus sign before a number? what about 2++2?

Answers

Final answer:

A plus sign before a number does not change its value. In the expression 2++2, the two plus signs next to each other are interpreted as a positive number followed by another positive number.

Explanation:

When you put a plus sign before a number, it doesn't change the value of the number.

The plus sign is just a symbol to indicate that the number is positive.

In the expression 2++2, the two plus signs next to each other are not a valid mathematical operation.

Instead, it is interpreted as a positive number followed by another positive number.

So, 2++2 is equal to 2+2, which is 4.

Please help thank you!

Answers

1 is D, an angle bisector only cuts the original angle in half.

2 is
9x - 18 = 3x
6x - 18 = 0
6x = 18
x = 3

3 is 9(3) - 18 = 27 - 18 = 9

The price of an item has been reduced by 55% . The original price was $80 . What is the price of the item now?

Answers

80×(1-55%)
=$36
the price of the item is $36 now

Is an equation that has 0 for a solution the same as an equation with no solution?

Answers

the solution exists and has the value of zero and is not in any manner the same as no solution value exists at all.

A total of 697 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Let x = number of adult tickets sold
Let x-53 = number of student tickets sold

x + x -53 = 697
2x - 53 = 697.

Add 53 to both sides to get:

2x = 750

Divide both sides by 2 to get:

x = 375

375 adult tickets were sold.

Please Help Me Anyone !!!
Addison earned a gross income of $42,750 last year. She made $537.56 in IRA contributions, donated $918 to her favorite charity and paid $1,351.35 in home mortgage interest. If Addison claims a standard deduction of $5,700 and her exemption is $3,650, what is her taxable income?
$30,593.09
$36,293.09
$31,511.09
$32,862.44

Answers

subtract all the other numbers from 42,750, you get 30,593.09
so A is the answer

Answer:

The answer is: $ 30,593.09.

Step-by-step explanation:

To the gross income of $ 42,750 of Addison, the amounts of the payments made must be deducted, that is, $ 537.56, $ 918, $ 1,351.35, plus the exemption of $ 3,650, and also if they grant him the standard deduction of $ 5,700; Your taxable income would be: $ 42,750 - ($ 537.56 + $ 918 + $ 1,351.35 + $ 3,650 + $ 5,700) = $ 30,593.09

The answer is: $ 30,593.09.

Which statement correctly describes the relationship between △RST and △R’S’T?

Answers

The answer is the third statement. "The triangles are congruent because triangle R'S'T' is a rotation of triangle RST and rotation in a rigid motion" The triangles are congruent because the image is a rotation (There is a rotation of 180 degrees) of the original and a rotation is a rigid motion. The best way to test it out is to assign values to the points for points R, S, and T and then apply the rule to see where the new image will be.

what is thirty five percent of two hundred

Answers

To do this, convert 35% to a decimal, which would be moving the decimal two times to the left which would be 0.35. Then, to find 35% of 200, you would multiply 0.35 and 200 to get your answer: 70

(200 : 100) * 35 =
2 * 35 =
70

I need help with 13 please ASAP

Answers

338.50 - 45 = 293.50 was spent on tolls

293.50 / 14 = 20.96

so 21 tolls

Help pleaseeeeeee!!!!!

Answers

Take a look at the tree diagram. The first branching shows the probabilities of there being oil, or not being oil.

Then, for each case we consider the probabilities of the kit being accurate or not.

we are interested in the branch Oil---Kit accurate---

Since P(Oil)=0.45, and P(Kit accurate)=0.8, the probability of there being oil and the Kit showing it correctly is:

0.45*0.8=0.36.

Answer: C) 0.36

The answer is C 0.36

Write an equation for a rational function that has a vertical asymptote at x=1 and a hole at x=3

Answers

(x-3)
--------
(x-3)(x-1) aka x^2 - 4x+ 3

While catching fireflies, you and a friend decide to have a competition. After mm minutes, you have (3m+13)(3m+13) fireflies and your friend has (4m+6)(4m+6) fireflies.
a. How many fireflies are caught each minute during the competition?1m+7 fireflies are caught per minute.
b. How many fireflies are caught before the competition starts? fireflies are caught before the competition starts.

Answers

a. 7 fireflies are caught per minute. b. 19 fireflies were already caught prior to the contest starting. a. Looking at the equations (3m + 13) and (4m + 6) where m is equal to the number of minutes since the contest began, it's obvious that there are 3+4 = 7 fireflies caught per minute. b. One again, look at the two equations. Or for that matter, calculate them both and add the results for m=0 (the moment the contest began). And upon doing so, you'll see that 13 + 6 = 19 fireflies were caught prior to the competition starting.

Answer: the equation is 7m + 19

Step-by-step explanation:

Which equation could be used to solve the problem?

Mr. Guzman drove his car 1080 miles in 6 weeks.

If he drove the same distance every week, which equation shows how far he drove each week (d)?

A.

d = 6 ÷ 1080

B.

d = 1080 – 6

C.

d = 1080 • 6

D.

d = 1080 ÷ 6

Answers

The answer is d :)

All you have to do is take the distance she drove and divide it by how many weeks it took.

Mr. Guzman drove 1080 miles in 6 weeks. To find the distance driven each week, use the equation d = 1080 ÷ 6, which equals 180 miles per week. Therefore, the correct equation is option D.

Mr. Guzman drove 1080 miles in 6 weeks. We need to find out how far he drove each week if he drove the same distance every week.

Identify the Total Distance Driven: 1080 milesIdentify the Total Time Period: 6 weeks

Set Up the Equation: Since Mr. Guzman drove the same distance every week, we use the formula:

d = Total Distance / Total Time.

Substitute Known Values:

d = 1080 ÷ 6

Calculate the Result:

d = 180 miles per week

The correct equation that shows how far Mr. Guzman drove each week is d = 1080 ÷ 6, which corresponds to option D.

When developing a plan for a geometric proof, which of the following is not important?
A.) evaluate the given statement(s)
B.)determine the number of steps needed
C.)look carefully at the figure
D.)create a plan for the proof

Answers

The answer is B. determining the number of steps needed is not important when developing a plan for a geometric proof.

Answer: B.)determine the number of steps needed

Step-by-step explanation:

A geometric proof of a geometric statement includes the following steps :-

a) Evaluate the given statement.

b) Look carefully at the figure related to the geometric statement .

c) Create a plan to express the proof.

d)Then use definitions, given axioms, postulates and previously proved theorems to write a logical explanation approaches to the conclusion.

Hence, the step is not important to develop a plan for a geometric proof: is "determine the number of steps needed" .

find the perimeter of a ruler that measures 12 inches by 7/8 inch.

Answers

I'm pretty sure that the answer is 10.5 I hope this helps

12+12+7/8+7/8
24+7/8+7/8
24+1+6/8
25+3/4
25 3/4 inches

What is the remainder when 4x4 − 10x3 + 14x2 + 7x − 19 is divided by 2x − 1

Answers

Using long division, we have

___________________
2x-1 | 4x^4-10x³+14x²+7x-19

Next, we divide the first term of 2x-1 by the first term of 4x^4-10x³+14x²+7x-19 to get 4x^4/2x=2x³ (since 4/2=2 and to divide exponents you subtract the denominator from the numerator). Next, we put our 2x³ on the top and multiply (2x-1) by that. With the result of (2x-1) and 2x³, we multiply that by -1 and add it to 4x^4-10x³+14x²+7x-19, looking like

2x³
___________________
2x-1 | 4x^4-10x³+14x²+7x-19

- (4x^4-2x³)
____________________
-8x³+14x²+7x-19. Repeating the process, we get

2x³-4x²+5x+6
___________________
2x-1 | 4x^4-10x³+14x²+7x-19

- (4x^4-2x³)
____________________
-8x³+14x²+7x-19.
-(-8x³+4x²)
______________________
10x²+7x-19
-(10x²-5x)
__________
12x-19
-(12x-6)
_________
-13 as our remainder

The remainder when [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex] is divided by 2x − 1 is -13.

The given expressions are [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex] and 2x-1.

What is the remainder?

The Remainder is the value left after the division. If a number (dividend) is not completely divisible by another number (divisor) then we are left with a value once the division is done. This value is called the remainder.

The division of the given expressions are given below:

2x³-4x²+5x+6

___________________

2x-1 | [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex]

- ([tex]4x^4-2x^3[/tex])

____________________

-8x³+14x²+7x-19.

-(-8x³+4x²)

______________________

10x²+7x-19

-(10x²-5x)

__________

12x-19

-(12x-6)

_________

-13

Therefore, the remainder when [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex] is divided by 2x − 1 is -13.

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What is the sum of the solution of 2lx-1l-4=-2

Answers

The sum of the two solutions is 4+0 or 4.

Which shape has congruent diagonals? Question options:
a rectangle
a parallelogram
a trapezoid

Answers

A rectangle has congruent diagonals.

Because some angles are more out than others in Parallelograms and trapezoids, their diagonals aren't congruent.

How to do a math probem of two people working together?

Answers

1 + 1 ＝ 1 + 1, compromise and justify all your solutions.

Identify the slope and y intercept in this statement "it takes 45 minutes to paint 2 rooms. you have all ready painted for 45 minutes.

Answers

The slope is 45/2

The y-intercept is (0,42)

The table gives the numbers of teachers and students in grades 6 to 8 at Earhart Middle School. Grade Teachers Students 6 1 25 7 2 50 8 3 75 Which teacher-to-student ratio maintains the proportional relationship described in the table?

Answers

Rewriting the table:

Grade Teachers Students
6 1 25
7 2 50
8 3 75

Grade 6 to 8 all maintained the same proportional relationship because for every one teacher, there's 25 students

Solve these Multi-Step Equations (include work): 6-8, 9 & 10 (is the equation right? if not please help)

Answers

6. 8(t+2)-3(t-4)=6(t-7)+8
8t+16-3t+12=6t-42+8
8t-6t=-42+8-16-12
2t=-62
t=-62/2
t=-31

How many times larger is a 10-pound dog than a hamster weighing 5/8 pound?

Answers

To determine how many times larger is a 10-pound dog compared to a 5/8-pound hamster, we divide the mass of the dog by the mass of the hamster. This is as shown below,
n = mass of the dog / mass of the hamster

Substituting the known value,
n = 10 lb/ 5/8 lb
n = 16

ANSWER: 16 times

A car travels 252 miles in 5 hours and 15 minutes. how many miles does it travel per hour?

Answers

Answer:

48 miles per hour

Step-by-step explanation:

5hrs and 15minutes = 315minutes

If 252 = 315

x = 60

By cross multiplication

315x = 60 * 252

315x = 15,120

x = 15120/315

x = 48 miles per hour

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