Mathematics High School

Q5 Q31.) Use the Pythagorean Theorem to find the length of the missing side of the right triangle. Then find the value of each of the six trigonometric functions of theta.

Answers

Answer 1

Answer:

See answers in bold below

Step-by-step explanation:

Using pythagoras theorem to find the unknown side a;

c² = a²+b²

a² = c²-b²

a² = 20²-16²

a² = 400 -256

a² = 144

a = √144

a = 12

for the six trigonometry functions;

According to SOH CAH TOA

sin theta = opposite/hypotenuse

Opposite = 12

Hypotenuse = 20

sin theta = 12/20

sin theta = 3/5

cos theta = adj/hyp

cos theta = 16/20

cos theta = 4/5

tan theta = opp/adj

tan theta = 12/16

tan theta = 3/4

cosec theta = 1/sintheta

cosec theta = 1/(3/5)

cosec theta = 5/3

sec theta = 1/cos theta

sec theta = 1/(4/5)

sec theta = 5/4

Q5 Q31.) Use The Pythagorean Theorem To Find The Length Of The Missing Side Of The Right Triangle. Then

Related Questions

The area model shows 3 1/4 what is 3x3 1/4

Answers

Answer:

9.75

Step-by-step explanation:

What is the standard form of the following equation?
y= 2(x - 1)^2 + 4

A) y = 2x2 + 4
B) y = 2x² - 4x + 8
C) y = 2x2 – 2x + 4
D) y= 2x2 - 4x + 6​

Answers

y = 2(x - 1)² + 4

y = 2(x² - 2x + 1) + 4

y = 2x² - 4x + 2 + 4

y = 2x² - 4x + 6

2) Solve the system of equations using substitution.
2x -- 9y = 14
x = -6y +7

Answers

Answer:

x= 7, y=0 (7,0)

Step-by-step explanation:

x = 7 and y = 0 those are the answers

If a coordinate was dilated from (-3, 2) to (-6, 4), what was the scale factor used?

Answers

Given:

A coordinate pair was dilated from (-3, 2) to (-6, 4).

To find:

The scale factor.

Solution:

We need to divide the coordinate of dilated point by the corresponding coordinate of original point to find the scale factor.

The value of scale factor is:

[tex]k=\dfrac{x\text{-coordinate of image}}{x\text{-coordinate of original point}}[/tex]

[tex]k=\dfrac{-6}{-3}[/tex]

[tex]k=2[/tex]

Therefore, the scale factor is 2.

solve the problem attached in the image

Answers

Answer:

no te entiendo

yo también la busco

Answer:

1) 4 hours  2) 144 miles  3) 12 miles

Step-by-step explanation:

60/5=12

72/6=12

120/10=12

180/15= 12

1) 48 miles / 12 miles = 4 hours

2) 12 hours x 12 miles = 144 miles

3) 1 hour x 12 miles = 12 miles

Select all values that would make the following inequality true: x ≥ -10

-10

-14

-2

0

Answers

Answer:  -10; -2; 0

Step-by-step explanation:

≥ means greater or equal than.

-10 is equal -10, true.

-14 is less than -10, so false.

-2 is greater than -10, true

0 is greater than -10, true

so the answer is -10, -2 and 0 can make this inequality true.

Help me find x for the triangle!!!

Answers

Answer:

i hope it help u

Step-by-step explanation:

x=180-(85+63)

x=180-148

x=32

38. Data berat badan sekelompok anak adalah: 9, 17, 8, 12, 15, 15, 13, 10, 12, 10.

Median data tersebut adalah

Answers

Answer:

12

Step-by-step explanation:

Median data dihitung sebagai

= 1/2 (n + 1) suku ke-1

Dimana n = Jumlah suku

= 10

Langkah 1

Kami mengatur ulang

8, 9, 10, 10, 12, 12, 13, 15, 15, 17

Langkah 2

Suku 1/2 (n + 1)

1/2 (10 + 1) istilah

= 11/2 istilah

= 5,5 suku

Istilah ini antara istilah ke-5 dan ke-6

Suku ke-5 = 12

Suku ke-6 = 12

= 12 + 12/2 = 24/2

= 12

Median data adalah 12

Ken had 80 rubber bands, he sold 10 and 10
got damaged. How many good rubber bands
were left with Ken? What percentage of
rubber bands were left?​

Answers

80-20=60
He has 75% of his rubber bands left.

Answer:

60 were left with Ken, and that is 75%

Step-by-step explanation:

80-10 = 70

70-10 = 60

60/80 = x/100, simplify & cross multiply

6/8 = x/100

600 = 8x

x = 75

What is the answer of this question ?

Answers

Answer:

Step-by-step explanation:

They are both C3H8

There are

3 carbons

8 hydrogens

Or put in the form that the table is written

Element          # of atoms  

Hydrogen           8

Carbon                3

Find the area of the composite shape below.

Answers

Answer:

4,368 please I hope it is correct I used a calculator

If the mean of 6 10 12 x 16 18 is 15 find the value of x​

Answers

Answer:

x=28

Step-by-step explanation:

I am assuming the mean is arithmetic mean. So we first add up the numbers:

6+10+12+18+16+x

=22+10+30+x

=22+40+x

=62+x

Then since there's 6 numbers in total, we have an equation:

[tex]\frac{62+x}{6}=15\\62+x=90\\x=28[/tex]

The answer is 28!

Have a nice day! :)

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Answers

Answer:

d or c is the answer of the question

C is the answer because it is obvious

Find x. Round to the nearest tenth if necessary.

Answers

Answer:

9

Step-by-step explanation:

Help Me, Now! C. At what value of x will each function equal 90? Both functions will equal 90 when x = ​

Answers

Answer:

When x=2

Step-by-step explanation:

Well in the first one it tells you that 2x is 90.

In the second it's y=40x+10

So you plug 2 in as the x.

y=40(2)+10

y=80+10

y=90

Hope this helps

Answer:

Step-by-step explanation:

f(x)1/x please help me

Answers

Answer:

You are going to take the shape and flip if across the x Axis, reversing it essentially. then you will move it up 4, so of it is a square with one corner at (2,3) it will go to (5, 7) and all the other point will move together if I remember right. I last did this 3 years ago, I hope I help, next time show the whole graph with the number and I would have put a visual to show you the answer. Good luck

State true or false. If 9 is the solution of variable x in the equation fraction numerator 5 straight x space minus space 7 space over denominator 2 end fraction space equals space straight y, then the value of y is 28

Answers

Answer:

False

Step-by-step explanation:

Based on what is stated in the question :

Expressing the worded equation Mathematically,

(5x - 7) / 2 = y

If y = 28

(5x - 7) / 2 = 28

Cross multiply

5x - 7 = 28 * 2

5x - 7 = 56

5x = 56 + 7

5x = 63

x = 63 / 5

x = 12.6

Hence, x ≠ 9

Please help me with my algebra homework?
What is the sum of the geometric sequence 1,-6,36,.... if there are 7 terms?(1 point)

Answers

Answer:

Step-by-step explanation:

a=1

r=-6/1=-6

[tex]S_{7}=a\frac{1-r^n}{1-r} =1\frac{1-(-6)^7}{1-(-6)} \\=\frac{1+6^7}{1+6} \\=\frac{1+279936}{7} \\=\frac{279937}{7} \\=39991[/tex]

if the simple interest on 2000 for 4 years is 4000 then what is the interest rate

Answers

Answer:

Principal = Rs 2000

Time = 4 years

Interest = Rs 400

Now, Interest= Principal×Rate×Time/100

400= 2000×R×4/100

R= 400×100/2000×4

Step-by-step explanation:

Hope it is helpful....

which relation represents a function?

Answers

Answer:

the last one is the answer I thin

Answer:

D

Step-by-step explanation:

Hey There!

Remember in order for the relation to be a function none of the x values can repeat

For the first one the x value 0 repeats therefore it is not a function

for the second one the x value -7 repeats thus meaning that its not a function

for the third one the x value 6 repeats hence, it is not a function

for the last one each input has a different output therefore it is a function

If a triangle measures 180 degrees, and you know that one of your angles = 90, and another angle = 45, what is the measure of the third angle?

Answers

90+45=135
180-135=45
the measure of the third angle is 45

Answer:45

Step-by-step explanation:

Well just take the sim of the two given angles then subtract them from the total measure of the triangle which is 180

The set of ordered pairs {(-2, 4), (x, 1), (1, 3), (2, 4)} is a function. Which is a possible value for x?
A. -2 B. 1 C. 2 D.3

Answers

Answer:

1

Step-by-step explanation:

Is 5 a solution of 5a − 9 = 26

Answers

No.

5a-9=26 add 6 to both sides, 5a=35 Divide by 5, a=7 not 5.

can someone help me please

Answers

you got it correct !

Answer:

its correct don't sweat

Step-by-step explanation:

If I am right you are trying to find where the line cross each other it runs on 4 and rises to 2.

7 times the quantity y divided by 4

Answers

1.75 is the answer. Hope this helps.

A football team took possession of the ball on the 50 yard line. They lost 5 yards on the first down, and lost another 6 yards on the play. What yard line does the team hike the ball on the third down of their possession?

Answers

Answer: The answer should be 39 yard line

Step-by-step explanation: If you start at the 50 and remove 11 yards you will have 39 yards left

ANSWER THIS HURRYYYYYY

Answers

Answer:

I believe its B, sorry if im wrong

Step-by-step explanation:

Leon got a reduction of $40 on a Geometry set
which was marked $480.
(a) What fraction was the reduction?
(b) What percentage was the reduction?
(c) What percentage of the cost did Leon
pay for the Geometry set?​

Answers

Answer:

i need help please with my maths

Step-by-step explanation:

Myles is working on his typing. He types for 3 minutes straight and is able to type 150 words. Determine how long it would take for Myles to type 900 words.

Answers

I think the answer is 6 because 900/150= 6 and 6X150 is 900 :)

A city has a population density of approximately 6,300 people /km2. The population is about 552,200 people. What is the approximate area of the city

Answers

Answer:

Step-by-step explanation:

552,200 people × (1 km²)/6,300 people) ≈ 87.65 km²

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