Mathematics High School

Find the length of the hypotenuse if the legs of a triangle are 5cm and 12 cm.

Question 5 options:

7cm


13cm


17cm


169cm

Answers

Answer 1
l=√5²+12²=13 cm

13 cm is length of the hypotenuse
Answer 2
The correct answer is:  [B]:  " 13 cm" .
________________________________
c² = a² + b² ;

In which "c" is the hypotenuse; 

a = 5 ;
b = 12 ;
c = ? ;

Solve for "c" 

+√(c²) =√(a² + b²) ;

 c = √(5² + 12²)  ;

 c = √(25 + 144) ; 
 
 c = √169 ;

 c = 13 cm .
_______________________________________________________
The correct answer is:  [B]:  " 13 cm" .
_______________________________________________________

Related Questions

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.

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

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.

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

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

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 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°.

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.

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)

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
☺☺☺☺

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


Which ordered pairs are a solution to the equation?

y = 3x

Select all that apply.

(-1,3)


(2,5)


(1,3)


(-2,-6)

Answers

(1,3) and (-2,-6) are the only ones that apply. 
All you do is substitute all four of the coordinates back into the equation:
A. 3=3(-1)    3=-3    So the first choice does not work.
B. 5=3(2)     5=6     So the second choice doesn't work
C. 3=3(1)     3=3     So the third choice works
D. -6=3(-2)  -6=-6   So the fourth choice works

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:

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

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 

HELP ASAP 115 points please hurry...
help asap please hurry...15 points.

Clara estimates that the length of a hiking trail is 10 km. She later learns that its actual length is 12 km.

What is the percent error in Clara's estimate?

.002%

8.0%

0.2%

11.5%

Answers

Experimental value = 10 km
accepted value = 12 km

Step 1: Deduct the accepted value from the experimental value.

10 km – 12km = -2 km

Step 2: Take the absolute value of step 1

|--2km| = 2km

Step 3: Divide that answer by the accepted value. 2km/10km = 0.2%

 

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



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" .

The area of a rectangle is 45 square inches. The rectangle is 9 inches long. How wide is the rectangle?

A. 5 inches

B. 36 inches

C. 27 inches

D. 3 inches

Answers

the answer is definitely 5 :)

Final answer:

To find the width of a rectangle with an area of 45 square inches and a length of 9 inches, divide the area by the length, resulting in a width of 5 inches (Option A).

Explanation:

The area of a rectangle can be calculated by multiplying its length by its width. In this case, we know the area is 45 square inches and the length is 9 inches. To find the width, we divide the area by the length.

Width = Area ÷ Length = 45 sq in ÷ 9 in = 5 in

Therefore, the width of the rectangle is 5 inches, which corresponds to option A.

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

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.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ2

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.

The point slope of a line that has a slope of -2 and passes through point (5,-2) is shown below. Which equation is in slope intercept form?

Answers

y + 2 = -2(x - 5)

Simplify.

y + 2 = -2x + 10

Subtract 2 from both sides.

y = -2x + 10 - 2

Simplify.

y = -2x + 8 → Slope-intercept form

Our answer is the second option : y=-2x+8

~Hope I helped!~
 

Answer:

B. y=-2x+8

Step-by-step explanation:

edge

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

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

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

Keith's florists has 15 delivery trucks, used mainly to deliver flowers and flower arrangements in the greenville, south carolina, area. of these 15 trucks, 5 have brake problems. a sample of 4 trucks is randomly selected. what is the probability that 2 of those tested have defective brakes?

Answers

Given the fact that 5 out of the 15 trucks have brake problems, we can find the probability that a delivery truck has brake problems as 5/15 = 0.3333. In the sample of 4 trucks, the number of trucks that have defective brackets is a binomially distributed random variable with n = 4 and p = 0.3333. Using the formula for binomial distribution, we get P(X = 2) = 4C2 * 0.3333² * (1–0.3333)² = 0.2963.
The answer is 0.2963. 
 

Answer:

Hence, the probability is:

0.296

Step-by-step explanation:

This can be solved with the help of the binomial probability as:

[tex]P(x=r)=n_C_rp^r(1-p)^{n-r}[/tex]

where n denote the quantity which are chosen.

r denote the quantity whose probability is to be determined or success.

and p denote the probability of success.

with n=4 since 4 trucks are randomly selected.

p=5/15=1/3 ( As 5 have brake problems out of total 15 trucks)

1-p=10/15=2/3

r=2 ( since we are asked to find the probability that 2 of those tested have defective brakes)

Hence, the probability is:

[tex]P(x=2)=4_C_2(\dfrac{1}{3})^2(\dfrac{2}{3})^2\\\\\\P(x=2)=\dfrac{4!}{2!\times (4-2)!}\times \dfrac{1}{9}\times \dfrac{4}{9}\\\\\\P(x=2)=0.296[/tex]

Hence, the probability is:

0.296

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

Um navio esta situado exatamente a 10 milhas a leste de um ponto A. Um observador, situado exatamente a sul do navio, ve o ponto A sob um angulo de 40°. Qual a distância entre o observador e o navio?

Answers

1) Considerando o ponto A, um vertice; o ponto O  onde o observador está e por ultimo, o ponto N que é onde o navio está.
Com estes 3 pontos formamos um triangulo. 
O angulo OAN vale 40º
O lado AN vale 10 milhas
O que queremos saber é a distância entre o observador e o navio: lado NO

2) Para isso calculamos a tangente deste angulo: tg 40º= angulo oposto/ angulo adjacente.
angulo oposto é o NO e o lado adjacente ao angulo é o AN que vale 10

Se fores à calculadora vês que tg40º é 0,83.
0,83= angulo oposto/ 10
ang oposto= 8,3 milhas
o observador e o navio estao a  8,3 milhas de distancia

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

Answers

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