1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bumek [7]
3 years ago
7

How to do question 22?

Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0

Answer:

A = 20sinθ(6 + 5 cosθ)  cm²

Step-by-step explanation:

Drop perpendiculars DE and CF to AB.

Then, we have congruent triangles ADE and BCF, plus the rectangle CDEF.

The formula for the area of the trapezium is

A = ½(a + b)h

DE = 10sinθ

AE = 10cosθ

BF = 10cosθ

EF = CD = 12 cm

AB = AE + EF  + BF = 10cosθ + 12 + 10 cosθ = 12 + 20cosθ

A = ½(a + b)h

   = ½(12 +12 + 20 cosθ) × 10 sinθ

   =(24 + 20 cosθ) × 5 sinθ

   = 4(6 + 5cosθ) × 5sinθ

   = 20sinθ(6 + 5 cosθ)  cm²

You might be interested in
6,000 people voted in a town election. Of the two candidates, the winning candidate received 4,000 more votes than the losing ca
AVprozaik [17]

Answer:

Step-by-step explanation:

let x = the number of votes of the first person

winner  = x + 4000

x+ x+4000 = 6000

2x=2000

x=1000

first person = x = 1000

winner  = x+4000 = 5000

The winner got 5000 votes

8 0
2 years ago
Waldo and Freddy caught fish one weekend. The dot plots show the lengths of the fish they caught.
maksim [4K]

Answer:

C

Step-by-step explanation:

Freddy has a range of 22-15 while Waldo's range is 21-15. Thus, Freddy has a range of 7, greater than Waldo's 6.

7 0
3 years ago
Most adults would not erase all of their personal information online if they could. A software firm survey of 480 randomly selec
Westkost [7]

Answer:

-7.90

Step-by-step explanation:

Let's write the null hypothesis (H0) and alternative hypothesis (Ha) from the claim statement

P = population proportion of adults who would erase all of their personal information online if they could

H_{0}:P=0.5

H1 P< 0.5

Let's write the given information:

n = sample size = 480

sample proportion = \hat p = 0.35

formula of z test statistic for one sample proportion test is as follows:

Z=\frac{\hat p-P}{\sqrt{\frac{P\times(1-P)}{n}}}

plug the above values in the above formula we get

Z =\frac{0.35-0.5}{\sqrt{\frac{0.35(1-0.5)}{480}}}=Z=-7.85584

So that the test statistic value is -7.90 (Rounded up to two decimal places)

3 0
3 years ago
1. The factors of a2 - 9 are
Mazyrski [523]

Answer:

Step-by-step explanation:

1. (a+3)(a-3) = a²+3a-3a-9 = a²-9

2. a linear equation consists of a polynomial of degree one.

5 0
3 years ago
The tabel shows the amount of miles of Cheryl travels 4 each day.About how many miles did she travel during the 4 days?
OLga [1]
4 times 4=16 So in four days, Cheyrl traveled 16 miles.
8 0
3 years ago
Other questions:
  • What is 1,345/99 rounded to the nearest integer?
    8·1 answer
  • The town of Madison has a population of 25000. The population is increasing by a factor of 1.12 each year.
    10·1 answer
  • Name tree pairs of numbers that have 5 as the greatest common factor (GCF) and use each number once
    6·1 answer
  • Find the volume of a box that measures 4 cm by 16 cm by 20 cm.
    8·1 answer
  • Find the value of x for which m || n
    12·2 answers
  • Pls help i have been getting bad answers all day im about to fail 7th grade :( Pls I WILL GIVE BRAINLIEST ANYTHING :(
    6·1 answer
  • PLEASE HELP
    13·2 answers
  • Find the slope of the line described by 28x −12y + 50 = 0.<br> 5/2<br> 4/3<br> 7/3<br> 5/4
    11·1 answer
  • Sue has 10 pictures but only has space in her apartment to hang 4 of them on a wall. The number of different arrangements of fou
    5·1 answer
  • Question 17 of 25
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!