Mathematics High School

Give an exact value, not a decimal approximation

Answers

Answer 1

Answer:

Sinθ = 24/25

Step-by-step explanation:

Sinθ = Opposite/Hypotenuse

Solve for the opposite side using the Pythagorean Theorem.

[tex]a^2+b^2=c^2\\7^2+b^2=25^2\\49+b^2=625\\b^2=576\\b=24[/tex]

Therefore, Sinθ = 24/25.

Related Questions

The points A,B and C have coordinates (2,1), (b,3) and (5,5), where b>5 and angle ABC = 90 degrees. Find b.

Answers

Answer:

b=6

Step-by-step explanation:

modul of the vector AB= sqrt((b-2)^2+(3-1)^2)= sqrt (b^2-4b+8). It is the length of the side AB

modul of the vector BC is equal to sqrt ((b-5)^2+(-2)^2)= sqrt (b^2-10b+29)

modul of the vector AC is sqrt ((5-2)^2+(5-1)^2)= 5

squared modul of AB + squared modul of BC = squared modul of the vector AC.

b^2-4b+8+b^2-10b+29=25

2b^2-14b+12=0

b^2-7b+6=0

b=1 b=6

b>5, s0 b=6

(3,-2)
– 2-
→
(1,0)
how many times am i moving ?

Answers

Answer:

Step-by-step explanation:

− 4 − [2+4( − 6) − 4 −(2²-5×21)]

Answers

Answer:

Step-by-step explanation:

First, solve four your last bracket, 2 squared is 4 and minus 5 is -1 times 21 is -21. Yet because the outer symbol is a negative, all signs change-making 21 positive. Solve 4*-6, and you get -24. This leaves you with [2-24-4+21] that gives you -5. Yet, because the outer sympol is a negative, 5 becomes positive. This leaves you with 1.

Answer:

Step-by-step explanation:

− 4 − [2 + 4(− 6) − 4 − (2²- 5×21)]

− 4 − [2 + 4(− 6) − 4 − (4 - 5×21)]

− 4 − [2 + (-24) − 4 − (4 - 105)]

− 4 − [-22 − 4 − (-101)]

− 4 − [-22 − 4 + 101]

− 4 − [-22 + 97]

− 4 − [75]

− 4 − 75

sarah solved an equation correctly, and she got 2=2. in a complete sentence, explain what this result means.

Answers

Answer:

see explanation

Step-by-step explanation:

Solving an equation and obtaining the final line as

2 = 2 ( that is both sides equal )

Indicates that the equation has an infinite number of solutions

SOMEONE HELP PLEASE ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!!

Answers

Answer:

[tex] {9}^{ - \frac{1}{2} }[/tex]

Step-by-step explanation:

Given,

[tex] \frac{ \sqrt[4]{9} \sqrt{9} }{ \sqrt[4]{ {9}^{5} } } [/tex]

[tex] = \frac{ \sqrt[4]{9} \sqrt{9} }{ \sqrt[4]{9 \times 9 \times 9 \times 9 \times 9} } [/tex]

[tex] = \frac{ \sqrt[4]{9} \sqrt{9} }{9 \sqrt[4]{9} } [/tex]

[tex] = \frac{ \sqrt{9} }{9} [/tex]

[tex] = \frac{ {9}^{ \frac{1}{2} } }{ {9}^{1} } [/tex]

[tex] = {9}^{ \frac{1}{2} - 1} [/tex]

[tex] = {9}^{ - \frac{1}{2} } (ans)[/tex]

what is the smallest 4 digit number that is both a perfect square AND a perfect cube?

thank you so much for your time, and thank you so so much if you answer my question!! I will give brainliest if I can!

Answers

Answer:

The answer is 1024

Step-by-step explanation:

Hope I am correct

Answer:4096

Step-by-step explanation: Considering that 4096 is a perfect square and perfect cube. Also that being the smallest 4 digit number 4096 is the correct answer

Write an absolute value inequality for the graph below. Use x for your variable.

Answers

Answer:

|x| ≥ 7

Step-by-step explanation:

Taking the absolute value means that any value of x will always be positive, meaning that the absolute value of -7 or less would be 7 or greater, which satisfies the inequality above and line graph.

Absolute value is 7 or greater.

What is inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

p ≠ q means that p is not equal to qp < q means that p is less than qp > q means that p is greater than qp ≤ q means that p is less than or equal to qp ≥ q means that p is greater than or equal to q

As, absolute value means that any value of x will always be positive.

So, the absolute value according to -7 or less would be 7 or greater,

Hence, absolute value is 7 or greater.

Learn more about inequality here:

https://brainly.com/question/20383699

#SPJ2

Please help me. 20 POINTS

Answers

Answer:

No. Angle 1 is an obtuse angle while angle 2 is an acute angle. obtuse angles are more than 90 degrees, which is more than an acute angle's less than 90 degrees.

Step-by-step explanation:

(-3n-13)+(n-369)=360degrees

-3n-13+n-369=360degrees

-3n+n-369-13=360degrees

-2n-382=360 degrees

-2n=(360+382)degrees

-2n=742

n=742 divided by - 2

= - 371

[tex]\\ \rm\longmapsto -3n-13=n-369[/tex]

[tex]\\ \rm\longmapsto -3n-n=-369+13[/tex]

[tex]\\ \rm\longmapsto -4n=-356[/tex]

[tex]\\ \rm\longmapsto 4n=356[/tex]

[tex]\\ \rm\longmapsto n=\dfrac{356}{4}[/tex]

[tex]\\ \rm\longmapsto n=89[/tex]

1.3/4 part of number of students are girls and 120 students are boy. how many student are there altogether *

Answers

Answer:

159 students.

Since all you need to do is multiply 120×1.3/4=39, then you add 120, as we are told that there are 120 boys. Basically, there are 39 girls and 120 boys, since by multiplying 20×1.3/4 equals 39, so 39 girls, and 120 boys. Now add them all together, 120+39=159.

Hope I helped!

write a polynomial in standard form with the zeros –4 0 1 and 4

Answers

Step-by-step explanation:

Hi there!

Zero of the polynomial is the value of "X" that gives final answer as zero.

So, as the polynomial in the second gives zero every time when we keep the zero which are given in the question. It is the answer.

Check:

• x⁴ - x³ - 16x² + 16x

(-4)

Keep the value -4 as the value of X in polynomial.

= (-4)⁴-(-4)³ -16*(-4)²+16*(-4)

= 256+64-256-64

= 0

Keep the value 0 as the value of X in polynomial.

= (0)⁴-(0)³ -16*(0)²+16*(0)

= 0-0-0+0

= 0

Keep the value 1 as the value of X in polynomial.

= (1)⁴-(1)³ -16*(1)²+16*(1)

= 1-1-16+16

= 0

Keep the value 4 as the value of X in polynomial.

= (4)⁴-(4)³ -16*(4)²+16*(4)

= 256 - 64-256+64

= 0

Therefore, the correct answer is option B.

Hope it helps!

If x+y=10 and x-y=4 find the value of x2-y2

Answers

Answer:

Step-by-step explanation:

[tex]x^2 - y^2 = (x+y)(x-y) = 10\times 4 = 40[/tex]

Simplify the following expression:
4n - m + 3p + 2m - n - p

Answers

Answer:

The choose One

3n+m+2p

I hope I helped you^_^

Answer:

[tex] = 3n + m + 2p[/tex] (first option)

Step-by-step explanation:

[tex]4n - m + 3p + 2m - n - p[/tex]

[tex]4n - n = 4n - 1n = (4 - 1)n = 3n[/tex]

[tex]3n - m + 3p + 2m - p[/tex]

[tex] - m + 2 = - 1m + 2m = ( - 1 + 2)m = 1m = m[/tex]

[tex]3n + m + 3p - p[/tex]

[tex]3p - p = 3p - 1p = (3 - 1)p = 2p[/tex]

[tex] = 3n + m + 2p[/tex]

Which equation has the same solution as x2 + 12x +8= -5?

Answers

Answer:

Hope its help you...........

Someone help please.

Answers

Answer:

Translation (the +5)

Dilation (the x 4)

Compression (the 3 to 1/3, and the x to 2-x)

Step-by-step explanation:

Brainliest, please!

Teresa has a clock that gives off a signal every 60 minutes, another clock that gives off a signal every 150 minutes, and a third one that gives off a signal every 360 minutes. At 9 am, all three clocks coincide and give off the signal at the same time. a) What is the least amount of hours it will take for the clocks to coincide again? b) At what time will they all give off the signal?

Answers

Answer:

[tex]\mathrm{Least\:Common\:Multiple\:of\:}60,\:360,\:150:\quad 1800[/tex]

in 30 hours

Step-by-step explanation:

i don’t understand can someone please help me

Answers

Answer:

Answer:

Step-by-step explanation:

Answer as Photo

HELP ASAP!! THIS IS SLOPE INTERCEPT FORM AND I HAVE NO IDEA HOW TO TO DO PLEASE EXPLAIN

Answers

Heya!

Wassup?

See the above pictures!

Remember: Make a dot where the line touches the graph.

Answer:

The answer is B.) -20

Step-by-step explanation:

wrong) 8 + 14 = 20

Right) -20 + 14 = -6

Wrong) -8 + 14 = 6

Wrong) 20 + 14 = 34

If this helps you Brainlest would be very nice

P.S Thank ❤️ and Rate ⭐️ my answer.

the length of rectangular ground is 18m longer than its breadth and its perimeter is 124 find its length and breadth

Answers

Answer: length is 22m and breadth is 40m.

Step-by-step explanation:

breadth = b

length = 18+b

perimeter of rectangle = 2(l+b)

124 = 2(18+b+b)

or, 124 = 36 + 4b

or, 124-36 = 4b

or, b = 88/4 = 22m

l = 18 + b

= 18+22

= 40m

West Street Middle School received 18 new computers for the me center. Now there are 31 computers in the media center. How man computers were there before they received the new computers?

Answers

Answer:

Step-by-step explanation:

They now have 31 computers after receiving 18 so we can subtract 18 from 31 to get 13.

31 - 18 = 13

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