MATHEMATICS HIGH SCHOOL

Simplify the expression
4r-7r +8+ r

Answers

Answer 1
Answer:

Answer:

-2r+8

Step-by-step explanation:

4r-7r+8+r

5r-7r+8

-2r+8
Answer 2
Answer:

-2r+8

The first step is to combine like terms. These would be 4r, -7r, and r since they have the same variable. This gives you -2r. Since there are no other like terms to combine, you end up with -2r+8

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Write 7340 in standard for

Answers

The standard from means writing in the most simplified form i.e. 7340 = 7000+300+40 is the standard from of the number 7340. Sometimes, scientific notation can also be called as standard form. Then, we write in powers of 10. i.e. 7340 = 7.340 *10^3

The volume of a cylinder with a base diameter of 15 centimeters is about 402 cubic centimeters. whats the Height?

Answers

volume of cylinder=area of base times height
area of base=pi times radius^2
diameter=2radius
diameter/2=radius
diameter=15
15/2=radius
7.5=radius

pi=aprox 3.14
3.14 times 7.5^2
3.14 times 56.25
176.625 times height=402
divide both sides by 176.625
height=2.28

the height=2.28 cm

a boy flies a kite with a 100 foot long string. the angle of elevation of the string is 48 degrees. how high is the kite from the ground?

Answers

we know that
in a right triangle
sin ∅=opposite side angle ∅/hypotenuse
opposite side angle ∅=hypotenuse*sin ∅

in this problem
angle ∅=48°
hypotenuse=100 ft
opposite side angle ∅=?----> height of the kite from the ground

opposite side angle ∅=100*sin 48°------> 74.31 ft

the answer is
74.31 ft

Find the length of side a. Round to the nearest tenth.A) 12


B) 378.4


C) 18.3


D) 19.5

Answers

Answer:

  D)  19.5

Step-by-step explanation:

The law of cosines gives you the relation ...

  a² = b² + c² - 2bc·cos(A)

Substituting the given values, you have ...

  a² = 13² + 11² - 2·13·11·cos(108°) ≈ 378.379

  a ≈ √378.379 ≈ 19.452 . . . . take the square root

  a ≈ 19.5

In the school​ library, there are 235 fiction​ books, 125 nonfiction​ books, and 250 magazines. The ratio of fiction books to magazines is 235:250. Write the ratio of fiction books to magazinesmagazines as a​ fraction, a​ decimal, and a percent.

Answers

Fraction: 47/50
Decimal: 0.94
Percent: 94%

Log2/3 9/4=x+3 ????????????????

Answers

log_{ (2)/(3) } (9)/(4) =x+3\n\nlog_{ (2)/(3) }( (2)/(3))^(-2) =x+3\n\n-2=x+3\n\n-x=3+2\n\n-x=5\ /\cdor(-1)\n\nx=-5
log_{(2)/(3)}(9)/(4)=x^3\n \n \left((2)/(3)\right)^x+3=(9)/(4)\n \n \left((2)/(3)\right)^(x+3)=\left((2)/(3)\right)^(-2)\n \n x+3=-2\n \n x=-2-3\n \n \boxed{x=-5}
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