MATHEMATICS HIGH SCHOOL

you are lying 120 feet away from a tree that is 50 feet tall you look up at the top of the tree apart a proximately how far is your head from the top of the tree in a straight line

Answers

Answer 1
Answer: pythagoren theorem

your distance from tree is bottom leg
height of tree is height leg

a^2+b^2=c^2
a and b ar legs,
c=hypotnuse=distance from head to treee

50^2+120^2=c^2
2500+14400=c^2
16900=c^2
sqrt both sides
130=c^2
you are 130 feet away

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What is (2x^2+6x-3) added to (2x^3-3x+2)?

Answers

2x^3 + 2x^2 + 3x - 1   would be result 
2x² + 6x - 3 + 2x³ - 3x + 2

Combine like terms

2x³ + 2x² + 6x - 3x - 3 + 2

Final answer:
2x³ + 2x² + 3x - 1

Find the square. (6m+7)2

Answers

Answer:

the square of  (6m+7)^2 is, 36m^2+84m+49

Step-by-step explanation:

To find the square of  (6m+7)^2

Using the identity:

(a+b)^2 = a^2+2ab+b^2

Apply this identity on the given expression:

(6m+7)^2

⇒(6m)^2+2(6m)(7)+7^2

Simplify:

⇒36m^2+84m+49

Therefore, the square of  (6m+7)^2 is, 36m^2+84m+49
( 6 m + 7 )² =

Apply distritutive rules:

(6m)² + 2 * 6 m * 7 + 7² =

6 m * 6 m + 2 * 6 m * 7 + 7*7 = 

36 m² + 84m + 49 

hope this helps!

A right triangle is shown. Which angle measure is closest to the value of x ?

A 43.9°
B 44.3°
C 35.7°
D 46.2°

Answers

Answer:

Step-by-step explanation:

From the given right angle triangle,

The unknown side represents the hypotenuse of the right angle triangle.

With m∠x as the reference angle,

the adjacent side of the right angle triangle is 7.8

the opposite side of the right angle triangle is 8

To determine m∠x, we would apply

the Tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan x = 8/7.8 = 1.026

x = Tan^-1(1.026)

x = 45.7° to the nearest tenth

In the given right triangle the measure of angle x is 45.7°. The correct option is C 45.7°

Trigonometry

From the question, we are to determine the measure which is closest to the value of x

In the diagram,

Opposite = 8

and

Adjacent = 7.8

Using SOH CAH TOA

We can write that

tan\ (x) = (8)/(7.8 )

tan\ (x) = 1.02564

x = tan^(-1) (1.02564)

x = 45.7°

Hence, in the given right triangle the measure of angle x is 45.7°. The correct option is C 45.7°

Here is the Correct question:

A right triangle is shown.

Which angle measure is closest to the value of x ?

A 43.9°

B 44.3°

C 45.7°

D 46.2°

Learn more on Trigonometry here: brainly.com/question/20734777

#SPJ5

If x, y, and z are integers greater than 1, and (327)(510)(z) = (58)(914)(xy), then what is the value of x? (1) y is prime (2) x is prime

Answers

Answer:

1) 5

2) 5

Step-by-step explanation:

Data provided in the question:

(3²⁷)(5¹⁰)(z) = (5⁸)(9¹⁴)(x^y)

Now,

on simplifying the above equation

⇒ (3²⁷)(5¹⁰)(z) = (5⁸)((3²)¹⁴)(x^y)

or

⇒  (3²⁷)(5¹⁰)(z) = (5⁸)(3²⁸)(x^y)

or

⇒ ((3^(27))/(3^(28)))((5^(10))/(5^8))z=x^y

or

⇒((5^2)/(3))z=x^y

or

⇒(5^2)/(3)=(x^y)/(z)

we can say

x = 5, y = 2 and, z = 3

Now,

(1) y is prime

since, 2 is a prime number,

we can have

x = 5

2) x is prime

since 5 is also a prime number

therefore,

x = 5

All numbers that are evenly divisible by both 6 and 14 are also divisible by which of the following numbers? A. 8
B. 12
C. 21
D. 28

Answers

divisble by 6 means it is divible by 2 and 3
divisblle by 14 means divisble ty 2 and 7

therefor the number is divisble by 2,3 and 7

test
A. 8 is not divible by 3
B. 12 is not divisble by 7
C. 21 is not divisble by 2
C. 28 is divisble

answer is D

The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a standard deviation of 100.Using the empirical rule, what is the probability that a randomly selected score lies between 500 and 700? Express your answer as a decimal.

Answers

The answer to the problem presented above is .475. Using the empirical rule, the probability that a randomly selected score lies between 500 and 700 (which is 2 standard deviations above the mean) is .475 or 47.5%. 

Answer:

0.4772

Step-by-step explanation:

Mean = \mu = 500

Standard deviation = \sigma = 100

Now we are supposed to find  the probability that a randomly selected score lies between 500 and 700.

Formula : z=(x-\mu)/(\sigma)

At x = 500

z=(500-500)/(100)

z=(0)/(100)

At x = 700

z=(700-500)/(100)

z=(200)/(100)

z=2

Now to find P(500<z<700)

P(0<z<2) =P(z<2)-P(z<0)

Now using z table :

P(z<2)-P(z<0) =0.9772-0.5000=0.4772

Thus the probability that a randomly selected score lies between 500 and 700 is 0.4772.
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