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bezimeni [28]
3 years ago
15

Find the area of the trapezoid. A trapezoid has a base of 8 meters, a height of 6 meters, and a top side length of 4 meters.

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
8 0

Answer:

  • 36 m²

Step-by-step explanation:

  • A = 1/2(b₁ + b₂)h
  • A = 1/2(8 + 4)*6 = 36 m²
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Emma buys 3 2/3 yards of blue fabric and some yellow yellow fabric at the store she buys a total of 5 1/3 yards of fabric the eq
UkoKoshka [18]

Answer:

yellow fabric 5/3 yards

Step-by-step explanation:

convert the mixed numbers into improper fractions:

3 2/3 =   11/3                 5 1/3=16/3

16/3 - 11/3 = 5/3

3 0
3 years ago
Please help I need to turn this in today.
Bogdan [553]

Answer:

C

Step-by-step explanation:

If you have a Ti-84 series calculator, press "stat" then "Edit..." and then fill in the data table values for x and y in two lists. Then press "2nd" and "mode" to quit. Now press "stat" again and right arrow over to "calc" and press down until you find "ExpReg" and set the "Xlist" and "Ylist" that you used and you will get C as the answer. Another way to do this is to manually substitute values into all 4 equations, which is boring.

8 0
2 years ago
Given limit f(x) = 4 as x approaches 0. What is limit 1/4[f(x)]^4 as x approaches 0?
stepladder [879]

Answer:

\displaystyle 64

General Formulas and Concepts:

<u>Calculus</u>

Limits

Limit Rule [Variable Direct Substitution]:                                                             \displaystyle \lim_{x \to c} x = c

Limit Rule [Variable Direct Substitution Exponential]:                                         \displaystyle \lim_{x \to c} x^n = c^n

Limit Property [Multiplied Constant]:                                                                     \displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle  \lim_{x \to 0} f(x) = 4

<u>Step 2: Solve</u>

  1. Rewrite [Limit Property - Multiplied Constant]:                                           \displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4} \lim_{x \to 0} [f(x)]^4
  2. Evaluate limit [Limit Rule - Variable Direct Substitution Exponential]:       \displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4}(4^4)
  3. Simplify:                                                                                                         \displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = 64

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

3 0
3 years ago
Round 38.49 to the nearest whole number
AnnyKZ [126]
38. The nearest whole number to 38.49 is 38 because at .5 you begin rounding up to the nearest whole number.

8 0
3 years ago
James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The
Brrunno [24]

Answer:

The correct option is 4.

Step-by-step explanation:

Given information:

Bring lunch : 46 males, 254 females

Buy lunch   : 176 males, 264 females

Total number of peoples is

46+254+176+264=740

Total number of males is

46+176=222

The probability of male is

P(Male)=\frac{Males}{Total}=\frac{222}{740} =0.3

Since probability of males is 0.3, therefore options A and C are incorrect.

Total number of persons who buys lunch is

176+264=440

The probability of persons who buys lunch is

P(\text{Buys lunch})=\frac{\text{Buys lunch}}{Total}=\frac{440}{740} =\frac{22}{37}

We need to find the probability of P(male | buys lunch).

According to the conditional probability, we get

P(\frac{A}{B})=\frac{P(A\cap B)}{P(B)}

P(male | buys lunch)=\frac{P(\text{male }\cap \text{ buys lunch})}{P(\text{buys lunch})}

P(male | buys lunch)=\frac{\frac{176}{740}}{\frac{22}{37}}

P(male | buys lunch)=\frac{2}{5}=0.4

Therefore the correct option is 4.

8 0
3 years ago
Read 2 more answers
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