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2 years ago

What is the area of the composite figure shown

Mathematics

1 answer:

Gala2k [10]2 years ago

8 0

Answer:

area of the figure=

$\frac{1}{2} \times (25 + 31) \times \times 11 \\ \frac{1}{2} \times 56 \times 11 \\ 28 \times 11 \\ 308$

$12 \times 14 \\ 168$

$308 + 168 \\ 476$

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Gareth buys two oranges. He pays with a £1 coin and gets 52p change. Work out the cost of one orange.

zalisa [80]

Answer:

24p

Step-by-step explanation:

£1 - £0.52 = £0.48 ← cost of 2 oranges

cost of 1 orange = £0.48 ÷ 2 = £0.24

3 0

1 year ago

n Juanita's Art History class Quizzes are worth 15% of the final grade, Exams are worth 55%, Projects are worth 25%, and Attenda

kvv77 [185]

Answer:

90.75%

Step-by-step explanation:

Given;

Of the total final score;

Quizzes = 15%

Exam = 55%

Project = 25%

Attendance = 5%

Resolving the values of each section of the total score;

she had perfect attendance to class. 100% attendance;

Attendance = 5% of total score

She got extra credit on her project with a score of 26 out of 25 possible points.

Project = 26/25 × 25% = 26%

80, 85, and 96 on the first three exams,each worth 100 points;

Total exam score = 80+85+96 = 261 out of 300

Of the total score;

Exam = 261/300 × 55% = 47.85%

At mid-semester Juanita scored 119 out of 150 points on quizzes.

Quizzes = 119/150 × 15% = 11.9%

Total exam score is;

= Quizzes+exam +project+attendance

= 11.9% + 47.85% + 26% + 5%

= 90.75%

3 0

3 years ago

The vectors x and y are unit vectors that make and angle of 30 degrees with each other. Calculate the value of | 2x + y | and th

ICE Princess25 [194]

Answer: the value of | 2x + y | = 1.39

the direction of 2x + y = 21°

Step-by-step explanation:

Given that the vectors x and y are unit vectors that make and angle of 30 degrees with each other.

Let assume that unit vector x is along the positive x-axis, and unit vector y is at +30°.

Therefore

2x-y=

2< 1,0 > - < cos(30),sin(30) >

=<2-(√2)/2, 0-1/2>

and

|2x-y|=√((2-(√2)/2)² + (-1/2)^2)

=1.3862

Therefore the value of | 2x + y | = 1.39

=atan((-1/2)÷(2-(√2)/2))

=atan(1.29289/-0.5)

=-0.369 radians

= -21.143°

Therefore the direction of 2x + y is

21°

5 0

3 years ago

Leah loves chicken wings and is comparing the deals at three different restaurants. Buffalo Bills has 888 wings for \$7$7dollar

ella [17]

Cost of chicken wings at Buffalo Bills = 8 wings for $7

Cost of 1 wing at Buffalo Bills = $\frac{7}{8} =0.875$

Cost of chicken wings at Buffalo Mild Wings = 12 wings for $10

Cost of 1 wing at Buffalo Mild Wings = $\frac{10}{12}= 0.833$

Cost of chicken wings at Wingers = 20 wings at $17

Cost of 1 wing at Wingers = $\frac{17}{20}= 0.850$

Hence, comparing all the three costs per wing, we can see that Buffalo Mild Wings is serving chicken wings at lowest price of $0.833 per wing.

8 0

3 years ago

Read 2 more answers

g Jack is polling New Yorkers to determine what proportion of them want to legalize recreational marijuana. How many New Yorkers

wolverine [178]

Answer:

1006

Step-by-step explanation:

Take proportion, p = 62%

n = (Z² * pq) / M.E²

Margin error = 0.03

p = 62% = 0.62

q = 1 - p = 1 - 0.62 = 0.38

Zcritical at 95% = 1.96

n = (1.96² * (0.62*0.38)) / 0.03²

n = 0.90508096 / 0.0009

n = 1005.6455

n = 1006

Sample size = 1006

5 0

2 years ago

What is the area of the composite figure shown ​

What is the area of the composite figure shown