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Evgesh-ka [11]
2 years ago
15

Either enter an exact answer in terms of \piπ or use 3.143.14 for \piπ and enter your answer as a decimal.

Mathematics
1 answer:
BaLLatris [955]2 years ago
3 0

Answer:

The area of the shape is 27 \pi\ units^{2}

Step-by-step explanation:

we know that

The area of the shape is the area of a three quarter of circle

The area of a three quarter of circle is equal to

A=\frac{3}{4}\pi r^{2}

we have

r=6\ units

substitute

A=\frac{3}{4}\pi (6^{2})=27 \pi\ units^{2}


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Fei Yen's dog eats 8 ounces of dog food each day.Fei Yen's bought a 28 pound bag of dog food.How many 8 ounce servings are in a
joja [24]

Answer:

56

Step-by-step explanation:

Recall that 1 lb = 16 oz, meaning that 1/2 lb = 8 oz.

Thus, we need only divide 28 lb by 1/2 lb to determine the number of 8 oz servings are contained in a 28 lb bag of dog food:

28 lb

--------------------- = 56 8-oz servings

1/2 lb/ serving

8 0
2 years ago
Strontium-90 has a half-life of 28.8 years. If you start with a 300-gram sample of strontium-90,
Kazeer [188]

Answer:  2.66 × 10⁻¹³

<u>Step-by-step explanation:</u>

First, use the decay formula   A=A_oe^{kt}   where

  • A is the final amount (amount left)
  • A₀ is the initial amount (amount you started with)
  • k is the rate of decay (you need to solve for this)
  • t is the time

Given:

  • A = 1/2(300) = 150
  • A₀ = 300
  • k = unknown
  • t = 28.8

150=300e^{28.8k}\\\\0.5=e^{28.8k}\\\\ln(0.5)=ln(e^{28.8k})\\\\ln(0.5)=28.8k\\\\\\\dfrac{ln(0.5)}{28.8}=k\\\\\\\large\boxed{-0.0240676=k}\\

Next, input the k-value and the new t-value to solve for A.

  • A = unknown
  • A₀ = 300
  • k = -0.0240676
  • t = 1440

A=300e^{1440(-.0240676)}\\\\\large\boxed{A=2.66\times 10^{-13}}\\

5 0
3 years ago
Help help help help help
Naddik [55]

Answer:

<, -4

Step-by-step explanation:

-8x-20<12

add 20 to both sides

-8x=32

divide both sides by -8

x=-4

3 0
2 years ago
Can someone help me with this plz
galina1969 [7]
Let's use a simple way. SPOE, APOE, DPOE, MPOE.

First, isolate the variable.

x5 + 3 = 2
     -3     -3
      x5 = -1/5 (5 divided by -1)


Answer to 5 divided by -1: -5.


A is the answer. (I'm pretty sure.)
If you need further help on steps, feel free to ask by replying.

~Realistic
4 0
2 years ago
EASY 9th GRADE MATH PLEASE HELP
Harlamova29_29 [7]

Step-by-step explanation:

2/3 X = 2x -24

now just solve for X.

2X = 8X - 72

-6x = -72

X = 12

5 0
2 years ago
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