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lukranit [14]
3 years ago
13

Find the percent decrease, Round to the nearest percent: From 90 points to 45 points.

Mathematics
2 answers:
ira [324]3 years ago
7 0
The answer  will be 45 points cause you subtract 45 from 90

Delvig [45]3 years ago
4 0

Answer:

The decrease in percent is 50 %

Step-by-step explanation:

Initial point is 90 while the final point is 45. We need to find the percent decrease. Percent change is given by :

\% =\dfrac{\text{change}}{\text{original amount}}\times 100

\% =\dfrac{90-45}{90}\times 100

\%=50\%

So, the percent decrease is 50 percent. Hence, this is the required solution.

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Help find the missing lengths round to nearest tenth
Mama L [17]

Answer:

<h2>x = 20.8</h2><h2>y = 22.3</h2>

Step-by-step explanation:

  • Theta is 21 degrees
  • x is the adjacent side
  • 8 is the opposite side
  • y is the hypothenuse

SOH - CAH - TOA

Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.

tan 21=\frac{opposite}{adjacent} \\tan 21 =\frac{8}{x} \\0.384 =\frac{8}{x} \\0.384x =8 \\x=\frac{8}{0.384} \\x=20.84

Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.

sin 21=\frac{opposite}{hypotenuse} \\sin21 =\frac{8}{y} \\0.358 =\frac{8}{y} \\0.358y=8 \\y=\frac{8}{0.358} \\y=22.32

6 0
2 years ago
The hypotenuse of a right triangle is 25 feet long The height of the right triangle is shrinking at a rate of 1 ft/week. What is
Lesechka [4]

9514 1404 393

Answer:

  increasing 7/24 ft per week

Step-by-step explanation:

An expression for the length of the base can be written from the Pythagorean theorem relation between the sides of the triangle.

If the height is 7-x, where x is the number of weeks after the height is 7 feet, then the base length is ...

  b = √(25^2 -(7-x)^2) = √(625 -(49 -14x +x^2)) = √(-x^2 +14x +576)

Then the rate of change of b with respect to x is ...

  b' = (-2x +14)/(2√(-x^2 +14x +576))

When x=0, the rate of change of the base is ...

  b' = 14/(2√576) = 7/24

The base is increasing 7/24 ft per week when the height is 7 ft.

8 0
2 years ago
A father is 28 years older than his son. in 8 years time he will be 3 times as old as his son. how old is the father now?
mariarad [96]

Answer:

34 years

Step-by-step explanation:

f = s + 28          Eq. 1

f+8 = 3(s+8)      Eq. 2

f = father age

s = son age

replacing Eq. 1 on Eq. 2

(s+28) + 8 = 3(s+8)

s + 36 = 3*s + 3*8

s + 36 = 3s + 24

36 - 24 = 3s - s

12 = 2s

12/2 = s

s = 6

from the Eq. 1

f = 6 + 28

f = 34

Check

from the Eq. 2

34+8 = 3(6+8)

42 = 3*14

6 0
1 year ago
Item 7 Solve the equation. x+12=7
MA_775_DIABLO [31]
7 - 12 = -5 so x = -5
5 0
3 years ago
Read 2 more answers
Р<br> R<br> (x+40)<br> (3x-20)<br> T<br> (3x-20)<br> S
konstantin123 [22]

y=3x-20 thats ur answer good luck

8 0
3 years ago
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