Mathematics High School

HELP PLS! Worth 20 points!!
What is the hypotenuse and the shorter leg of a 30-60-90 triangle, if the longer leg is 12?

Answers

Answer 1
Let the hypotenuse be y and the shorter leg be x
sin30°= SHORTER LEG/HYPOTENUSE
1/2=x/y
2x=y..........(1)

cos30°=LONGER LEG/HYPOTENUSE
Root3/2=12/y
y=8 Root 3 units

Substituting y in equation 1:
2x=8 Root 3
x= 4 Root 3 units

Thus, the value of the hypotenuse is 8 Root 3 units, and the value of the shorter leg is 4 Root 3 units.

Related Questions

Based on this data, what is a reasonable estimate of the probability that Nate scores 8-11 points next basketball game?

Answers

Answer:

[tex]Probability = \frac{8}{25}[/tex]

Step-by-step explanation:

Given

See attachment for graph

Required

Determine the probability of getting a score of 8 - 11 points in the next game

From the attachment, the frequency of the class 8 - 11 is:

[tex]Class\ 8 - 11 = 8[/tex]

Also, from the attachment, the total frequency is:

[tex]Total = 3 + 5 + 8 + 6+2+1[/tex]

[tex]Total = 25[/tex]

The required probability is:

[tex]Probability = \frac{n(8 - 11)}{Total}[/tex]

[tex]Probability = \frac{8}{25}[/tex]

3 of 5
A company makes 130 bags.
49 of the bags have buttons but no zips.
32 of the bags have zips but no buttons.
39 of the bags have neither zips nor buttons.
How many bags have zips on them?

Answers

Answer:

32 bags with zips but no buttons

+39

= 71 bags have zips on them

Can somebody pls help me!!

Answers

Answer:

121

Step-by-step explanation:

10(3)^2-7(3)+10=121

Brillianst please!!!

The population of bacteria can be modeled by the function below, where t represents the time since the population started decaying and f(t) represents the population of the remining bacteria at time t. What is the rate of decay for this population?

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. I will assume the function is:

[tex]f(t) = 15(0.86)^t[/tex]

Required

Determine the rate of decay

In an exponential function [tex]f(x) = ab^x[/tex],

The decay rate of the function is calculated as:

[tex]1 - r = b[/tex]

By comparison:

[tex]b = 0.86[/tex]

So, the equation becomes:

[tex]1 - r = 0.86[/tex]

Make r the subject

[tex]r = 1 - 0.86[/tex]

[tex]r = 0.14[/tex]

The rate of decay is 0.14

Diana has a pentagonal garden with the dimensions shown in the diagram. What is the area of Diana’s garden?

Answers

Answer:

n, vsfd

Step-by-step explanation:

tmb te amo krai

Look at the the four patterns below.
-16, -8,-4, -2,
16, 19, 22, 25,
1 + 2 + 4 + 8 +,
16, 12, 9, 27/4,81/16
Which pattern does not belong? Write at least one
sentence to explain your reasoning.

Answers

Answer:

27/4,81/16

Step-by-step explanation:

Please help...



Write 324 as a product of its prime factors​

Answers

Answer:

324=

[tex]2 \times 2 \times 3 \times 3 \times 3 \times 3[/tex]

[tex] = 2 {}^{2} \times 3 {}^{4} [/tex]

James is raising money for his school by selling chocolate bars for $2 each. Before he started his uncle gave him $10 towards his goal.

What is the slope :
What is the Y-intercept:

Answers

Slope: 2x and Y intercept: 10

I need help on this question please

Answers

Answer: should be 54m but im not 100% sure if its not right lmk

Step-by-step explanation:

A circle has a mass of 3 grams and a square has a
mass of 2 grams.
What is the mass of a triangle?
an
grams
A.
B. 3 grams
C. 3 grams
D. 11 grams

Answers

3 grams is the answer hope it’s help

Flying against the wind, a jet travels 5920 miles in 8 hours. Flying with the wind, the same jet travels 10.980 miles in 9 hours. What is the rate of the jet in still air and what is the rate of the wind?

Answers

Here is my answer. I hope this is helpful.

How does a quadratic function relate to volleyball and what aspects of quadratic functions are there?

Answers

Answer:

Volleyball players want to keep their serves as close to the net as possible, so the ball travels for a shorter period of time. Say a volleyball player serves the ball across the court. If we can model this situation with the function y=-0.006(x−21)2+9, where x is the distance from the player and y is the height, then we can determine if the ball clears the net and lands in bounds 61 feet away1. It may be helpful to analyze this situation graphically, and we consider how to do that in this section.    

Step-by-step explanation:

nope

g(x)=-(x+1)(r-1)(-4)
In standard form?? Please help!

Answers

Answer:

g(x) = 4rx + 4r - 4x - 4

Step-by-step explanation:

g(x)= -(x+1)(r-1)(-4)

Write y=-11x-4 in standard form

Answers

Step-by-step explanation:

y = -11x - 4

y + 11x = -4

y + 11x + 4 = 0

I'm pretty sure that's the standard form

Create and solve a system of equations that will help you find the numbers.

Show your work for credit.

The difference of two numbers is 5 and the difference of their squares is 55. Find the numbers.

Answers

Answer:2 AND 3

Step-by-step explanation:

4
Eli's family is going to have
a big go-cart race and each
go-cart takes 3- gallon of
-
gas. If there are 7 go-carts,
how many total gallons of
gas do they need to fill up
all the go-carts?

Answers

Answer:

21 gallons

Step-by-step explanation:

You multiply the amount of go-carts(7) by the amount of gas each go-cart takes(3 gallons.) You get 21 gallons for all the go-carts.

5x + 3y = -15 + y= 2/3x + 9

Answers

-(189/19, 330/19) let me know if you would like an explanation! if i’m wrong please let me know!

WHAT IS 2 + 2???
(free pointos)

Answers

Answer:

4!$!^#&$*/*$($((!(!!!!!!

Answer:

4

Step-by-step explanation:

can you help me with my question

In a biology lab, 500 bacteria reproduce by splitting. Every hour, on the hour, each bacterium splits into two bacteria.

Answers

Answer:hour 1 500, hour 2 1000, hour 3 2000 , hour 4 4000

Step-by-step explanation:

After 1 hour 500 bacteria split into 500 bacteria.

After 2 hour 500 bacteria split into 1000 bacteria.

After 3 hour 500 bacteria split into 1500 bacteria.

After 4 hour 500 bacteria split into 2000 bacteria.

Given that,

In a biology lab, 500 bacteria reproduce by splitting.

Every hour, on the hour, each bacterium splits into two bacteria.

We have to find,

Find the number of bacteria after 4 hours.

According to the question,

Let us assume n = the number of bacteria at a given hour.

Total number of bacteria = 500

At the end of 1 hour each of the 500 bacteria after an hour is split in to 2 bacteria. So, at the end of 1 hour = n(1)  = 1 × 500 = 500 After 1 hour 500 bacteria split into 500 bacteria.

At the end of the 2 hour, each of the 500 bacteria will split in to 2 more bacteria. So, n(2)  = 2 x 500  = 1000 bacteria After 2 hour 500 bacteria split into 1000 bacteria.

At the end of the 3 hour, each of the 500 bacteria will split in to 2 more bacteria. So, n(3)  = 500 x 3  = 1500 bacteria After 3 hour 500 bacteria split into 1500 bacteria.

At the end of 4 hours, each of the 500 bacteria spilt into 2 more bacteria.

       So,  n(4)  = 4 × 500 = 2000 bacteria

       After 4 hour 500 bacteria split into 2000 bacteria.

To know about Multiplication click the link given below.

https://brainly.com/question/15116783

 

I need help ASAP please
I will give thanks with Brainlist for correct ans.

Answers

rotations, reflections and translations are isometric, this meaning that these transformations do not change the size of the figure.

i hope this helps :)

A bottle of water contains 500 ml.
A larger bottle holds 30% more.
How much does the larger bottle hold?

Answers

Answer:

650ml

Step-by-step explanation:

30% = 0.30

0.30 x 500 = 150

500 + 150 = 650

identify the zeros of each function please

Answers

Answer:

6 zeros in total

Step-by-step explanation:

Answer:29. (-5,0) 30. (-1,0) (3,0) 31. (0,0) (2,0) (8,0)

Step-by-step explanation:

Find the points that lie on the x axis

PLEASE HELP ME ASAP THANK YOU !!
Solve the system of linear equations by graphing.
y=-x+7
y=x+1

Answers

Answer:

Step-by-step explanation:

First you need to graph the two lines.

The solution is the point where the lines intersect.

if 2 quantities are in direct proportion, what happens if one quantity increases?

Answers

Will increase cause of direct increase

What are all the real zeros of y=(x-12)^3-7?

Answers

Answer:

[tex]\sqrt[3]{7} +12[/tex]

Step-by-step explanation:

Use symbolab

HELP what are two expressions that are equivalent to -42x+84

Answers

Answer:

-42(x - 2) and -6(7x - 14)

Step-by-step explanation:

Eighth grade
What is the surface area?
1 m
1 m
1 m
square meters

Answers

Answer:

If those are the dimensions the surface area is 6 meters

Step-by-step explanation:

cubes have six sides and each side is one unit

HELP HELP HELP HELP HELP HELP

Answers

D: (1,-1) is your answer because on graph that’s were both lines cross each other

what is the HCF of 9a² -6ax​

Answers

Answer:

I love you hddmekelejeyeneoeleemeh

Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?

Answers

Answer:

2/3

Step-by-step explanation:

Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?

1 decametre = 10 metres

Hence,

10 meters = 6 pieces of ribbon

1 meter = x pieces

Cross Multiply

10x = 6

x = 6/10

x = 2/3 (1 meter pieces of ribbon)

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