In a 30° -60° -90° triangle, what is the length of the hypotenuse when the shorter leg is 7 in.?

Answers

Answer 1

Answer:

the length of the hypotenuse is 14 in

Step-by-step explanation:

Focus on the 30 degree angle.  Recall that the sine of an angle is defined as

             opposite side        

sin Ф = ----------------------

                hypotenuse  

and that sin 30° is always 1/2.

                                7 in                               1

Then sin 30° = ------------------- must equal -----      

                         hypotenuse                        2

After cross-multiplying this equation, we have 2(7 in) = (1)(hypotenuse),

so that the length of the hypotenuse is 14 in.


Related Questions

The binary operation is defined by a*b=(a+b)² - 2ab
Colulate the value of 3*4​

Answers

Sorry about the bad handwriting

5x + 8 =33 what is the x

Answers

Simplifying
5x + 8 = 33

Reorder the terms:
8 + 5x = 33

Solving
8 + 5x = 33

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + 5x = 33 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 33 + -8
5x = 33 + -8

Combine like terms: 33 + -8 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

Ellen has a bag with 3 red marbles and 2 blue marbles in it. She is going to randomly draw a marble from the bag 300 times, putting the marble back in the bag after each draw. 3 red marbles and 2 blue marbles What is the best prediction for the number of times that Ellen will draw a blue marble?

Answers

Answer:

120

Step-by-step explanation:

Blue marbles = 2

Red marbles = 3

Total marbles = 2 + 3 = 5

If a marble is drawn 300 times ;prediction for the number of times a blue marble will be drawn :

P(drawing a blue marble) = number of blue marbles / total number of marbles

= 2 /5 = 0.4

Predicted number of times blue is drawn in 300 selections :

300 * 0.4 = 120

Approximately 120 times

-70÷10=

pls help .....................​

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

What is the solution set for-4x - 10 < 2?​

Answers

Answer:   -3

Step-by-step explanation:

-4x  - 10 < 2

-4x < 12

x > -3

Dos cuadrados congruentes (iguales), ABCD y PQRS, tienen longitud de lado 15. Los cuadrados se traslapan y forman el rectángulo AQRD de 15 por 25. ¿Qué porcentaje del área del rectángulo AQRD esta sombreada? *

Answers

Answer:

20%

Step-by-step explanation:

De la imagen:

AB + PQ-PB = AQ

pero AQ = 25, por lo tanto:

15 + 15 - PB = 25

30 - PB = 25

PB = 25

La región sombreada es el rectángulo PBCS

Área del rectángulo PBCS = PB * BC = 5 * 15 = 75

El área del rectángulo AQRD = AQ * QR = 25 * 15 = 375

porcentaje del área del rectángulo AQRD que está sombreado = (área del rectángulo PBCS / área del rectángulo AQRD) * 100% = (75/375) * 100% = 20%

Find the y-intercept of the graph.

Answers

Answer:  The y-intercept would be -2

Step-by-step explanation:  To find a y-intercept you just need to find the point at which the line crosses the y axis (which is the vertical one.)  We know its -2 also because of the unit amount of the graph itself.  The 5 at the top of the y axis is at the 5th box which means that each vertical unit represents 1.  This is how I know my answer is correct.  I hope this answer has been of use to you and if you have further questions please do not hesitate to reach out :)

Help please
Brainiest answer to whoever is first

Answers

Answer:

The area is 137m.

Step-by-step explanation:

5 * 5 = 25

11 + 5 = 16

16 * 7 = 112

112 + 25 = 137m

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

What is the correct inverse function for f(x)=In(3x)?

Answers

Answer:

f⁻¹(x) = eˣ / 3

Step-by-step explanation:

f(x) = In(3x)

y = In(3x)

swap x and y: x = In(3y)

solve y: eˣ = 3y

y = eˣ / 3

f⁻¹(x) = eˣ / 3

OMG PLZZZZZZ HELP ME I REALLY NEED HELP :'( EVERYONE WHO HELPS ME GETS IT WRONG PLZZZ HELP ME IM BEGGING YOU

Answers

Answer:

1st Picture: d = -16

2nd Picture: g = -13.8

Step-by-step explanation:

1st Picture: Divide both sides by -11 to balance both sides and get the answer.

2nd Picture: Subtract 1.2 from both sides.

Answer:

Question 6:

We have -12.6 = g + 1.2, so we move the 1.2 to the left side to get -13.8 = g because when you move a number you are essentially minusing that number so 1.2 becomes -1.2 .

Question 7:

We have 176 = -11d so we divide by -11 to get -16 = d.

Hope this helped!

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 620 babies were​ born, and 341 of them were girls. Use the sample data to construct a 99​% confidence interval estimate of the percentage of girls born. Based on the​ result, does the method appear to be​ effective?

Answers

Answer:

Based on the confidence interval, the method appears to not bring expected results

Step-by-step explanation:

The given parameters are;

The number of babies in the study, n = 620 babies

The number of girls in the study sample = 341 girls

The proportion of girls in the study sample, [tex]\hat p[/tex] = 341/620 = 0.55

At 99% confidence level, we have the critical z = 2.576;

The confidence interval is given by the following formula;

[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p} \cdot (1-\hat{p})}{n}}[/tex]

Plugging in the values of the variables, we get;

[tex]CI=0.55\pm 2.576\times \sqrt{\dfrac{0.55 \times (1-0.55)}{620}} \approx 0.55 \ \pm 5.14680 \times 10^{-2}[/tex]

Therefore, 0.498532 < p < 0.601468

Based on the result of the confidence interval, we can be 99% sure that the true mean is between 0.498532 and 0.601468, therefore, given that the range includes a true mean of 0.5 or 50% probability of conceiving a girl, which is the percentage predicted by genetics, the method appears ineffective

A statement that contains = to compare two expressions is a

Answers

Answer:

An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement. To achieve our goal, we use two principles of equality, the addition principle and the multiplication principle.

anyone need help with a subject mark me brainlist

Answers

Answer:

people cant mark you brainlest but you can mark people who answer your questions brainliest

Step-by-step explanation:

How many times would you have to add 1/3 with itself to get the answer to the multiplication problem below? 5×1/3

Answers

Answer:

5 times

Step-by-step explanation:

Given the multiplication problem :

5 * 1 /3 = (5*1) / 3 = 5/3

The number of times 1/3 will. Have to be added to itself to obtain 5/3.

To do this :

5/ 3 ÷ 1/3

5/3 * 3/1

= (5*3) / (3*1)

= 15 / 3

= 5

Hence, 1/3 will have to be added 5 times to itself

The equation y = 25x can be used to predict the height in feet, y, of the elevator after
1 seconds.
Find the height of the elevator when the time is 0 seconds.
Time (s), «
0 5 10 15
Height (ft), y

Answers

Answer:

y = 0 feet

Step-by-step explanation:

Given equation:

y = 25x

Where,

y = height (feet)

x = time (seconds)

25 = constant

Find the height of the elevator when the time is 0 seconds

y = 25x

y = 25(0)

y = 0 feet

I need help on this problem can someone help

-8 (y - 86) = -48

Answers

Answer:

y=92

Step-by-step explanation:

Divided both sides by the numeric factor on the left side, then solve.

y = 92

66.7 is about how many Americans that participated in the 2020 elections

Answers

Answer:

I think you have the wrong subject

An animal shelter has a ratio of cats to dogs that is 9 to 7. If the shelter has 18 cats, how many dogs would it have?

Answers

Answer: 14 dogs

Step-by-step explanation:

Given

The ratio of cats to dogs is 9:7

The shelter has 18 cats

Suppose shelter has x dogs

[tex]\Rightarrow \dfrac{9}{7}=\dfrac{18}{x}\\\\\Rightarrow x=\dfrac{18\times 7}{9}=14\ \text{dogs}[/tex]

It’s subtraction .Pls have a explanation math problem .

Answers

Answer:

4 11/14

Step-by-step explanation:

9 16/14          9 turns to 8 and u add 14/14 to 2/14 16/14 then subtract 5/14

-4 5/14

4 11/14

Answer:

5 4/14

Step-by-step explanation:

Ok so what we do is take the whole number away from the fractions (9 - 4)

And subtract the fractions

9/14 - 5/14 = 4/14 just remember NEVER ADD OR SUBTRACT DENOMINATORS. Now you should add the whole numbers 9 - 4 =5 now get them together 5 4/14. Theirs your answer

what is the name and type of arc of this circle ​

Answers

Step-by-step explanation:

minor

A container is shaped like a triangular prism each base of the container is an equilateral triangle with dimensions

Answers

Answer:

Thea answer is below

Step-by-step explanation:

A triangular prism is a polyhedron (a three dimensional shape) made of a triangular base and 3 faces joining corresponding sides.

The triangular prim has 5 faces of which two are triangular and three are rectangular. It also has 6 vertices and 9 edges.

The lateral surface area of a triangular prism = (a + b + c)h; where a, b and c are the sides of the triangular base and h is the height of the triangle.

Given that a = b = c = 6 cm, h = 15 cm. Hence:

Lateral surface area = (6 + 6 + 6)15 = 270 cm²

Answer:

something

Step-by-step explanation:

Evaluate
( 2/10 ) ^3

1. 1/5
2. 6/30
3. 8/1,000

Answers

Answer:

3. 8/1,000

( I hope this was helpful) >;D

Patricia’s dog, Max, weighs 6.75 kilograms. There are approximately 0.45 kilograms in 1 pound. Which measurement is closest to the number of pounds Max weighs?


Pls hurry...

Answers

15 pounds. 6.75/0.45= 15

Product Rule states: keep the base the same and do this to the exponents. Your
A). answer
B). multiply
C). subtract​

Answers

Answer: B multiply

Step-by-step explanation:

ILL GOVE BRAINLIEST!! PLEASE HELP W THIS

Answers

No it’s not proportional the formula for speed is distance divided by time if you calculate it for each one you get 65,60,65 etc

Gina used 9 cups of sugar for every 6 cups of flour. At this rate, how many cups of sugar would Gina need per 1 cup of flour?

Answers

Answer:

1.5 cups of sugar for 1 cup of flour.

Step-by-step explanation:

9 cups of sugar/6 cups of flour= 1.5 of sugar

Answer:

1.5 cups of sugar

Step-by-step explanation:

set up a proportion:

9/6=x/1

solve:

6x=9

x=1.5

If JKLM is an isosceles trapezoid, find each value listed below.

Answers

The answer to your question is x=14

PLEASE HELP!!
WORTH 30 PTS!!
Choose the first step in solving the following equation:
4(2x - 5) + 2x = 11

a 8x - 20 + 8x = 11
b 8x - 20 + 2x = 11
c 4(2x) + 2x = 16
d 4(4x - 5) = 11
e (2x - 5) + 2x = 7

Answers

Answer:

B) 8x - 20 + 2x = 11

Step-by-step explanation:

4(2x - 5) + 2x = 11

use pemdas

parenthesis comes first

open the parenthesis

4 * 2x - 4 * 5 + 2x = 11

8x - 20 + 2x = 11

Complete the Square
x2 + 10x +

Answers

Answer:

( + 10)

Hope this helps you out

John has 12 pounds of dog food and is going to separate it into 3/4 pond portions . How many portions of dog food will he have

Answers

Answer:

see below :)

Step-by-step explanation:

He will have 16 portions of dog food.

12 divided by 3/4 = 16

Answer:

He will have 16 portions of Dog Food.

Step-by-step explanation:

12 devided by 3/4 is 16

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