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
Strike441 [17]
3 years ago
7

The area of parallelogram WXYZ is approximately 45 square units.

Mathematics
1 answer:
neonofarm [45]3 years ago
4 0

Answer:

Option (4)

Step-by-step explanation:

Area of a triangle = \frac{1}{2} (a.b.\text{Sin}\theta)

Where a and b are the sides of a triangle and θ is the angle between the sides a and b.

By this rule,

Area of ΔWZY = \frac{1}{2}(\text{WZ}).(\text{YZ}).\text{Sin}(115)

45 = \frac{1}{2}(\text{YZ}).(10).\text{Sin}(115)

9 = (YZ).Sin(115)°

YZ = \frac{9}{\text{Sin}(115)}

YZ = 9.93

Perimeter of parallelogram WXYZ = WX + XY + YZ + WZ

                                                         = 9.93 + 10 + 9.93 + 10

                                                         = 39.86

                                                         ≈ 40 units

Therefore, perimeter of the parallelogram is 40 units.

Option (4) is the answer.

You might be interested in
Find the value of y.<br><br> m ∠ 1 = 3y - 6
Ivenika [448]
m\angle1=90\\&#10;3y-6=90\\&#10;3y=96\\&#10;y=32
4 0
3 years ago
Read 2 more answers
Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of yu x- 8?
tamaranim1 [39]

Answer:h

Step-by-step explanation:

H

4 0
3 years ago
Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10
zvonat [6]

The approximate difference in the ages of the two cars, which  depreciate to 60% of their respective original values, is 1.7 years.

<h3>What is depreciation?</h3>

Depreciation is to decrease in the value of a product in a period of time. This can be given as,

FV=P\left(1-\dfrac{r}{100}\right)^n

Here, (<em>P</em>) is the price of the product, (<em>r</em>) is the rate of annual depreciation and (<em>n</em>) is the number of years.

Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10%.

Suppose the original price of the first car is x dollars. Thus, the depreciation price of the car is 0.6x. Let the number of year is n_1. Thus, by the above formula for the first car,

0.6x=x\left(1-\dfrac{10}{100}\right)^{n_1}\\0.6=(1-0.1)^{n_1}\\0.6=(0.9)^{n_1}

Take log both the sides as,

\log 0.6=\log (0.9)^{n_1}\\\log 0.6={n_1}\log (0.9)\\n_1=\dfrac{\log 0.6}{\log 0.9}\\n_1\approx4.85

Now, the second car depreciates at an annual rate of 15%. Suppose the original price of the second car is y dollars.

Thus, the depreciation price of the car is 0.6y. Let the number of year is n_2. Thus, by the above formula for the second car,

0.6y=y\left(1-\dfrac{15}{100}\right)^{n_2}\\0.6=(1-0.15)^{n_2}\\0.6=(0.85)^{n_2}

Take log both the sides as,

\log 0.6=\log (0.85)^{n_2}\\\log 0.6={n_2}\log (0.85)\\n_2=\dfrac{\log 0.6}{\log 0.85}\\n_2\approx3.14

The difference in the ages of the two cars is,

d=4.85-3.14\\d=1.71\rm years

Thus, the approximate difference in the ages of the two cars, which  depreciate to 60% of their respective original values, is 1.7 years.

Learn more about the depreciation here;

brainly.com/question/25297296

4 0
2 years ago
The base of a trapezoid are 24 feet and 16 feet. The height of the trapezoid is 12 feet. what is the area of the trapezoid?
kobusy [5.1K]

Answer:

240 ft^2

Step-by-step explanation:

area: (24+16)12/2=240 ft^2

(the area of a trapezoid is the sum of the bases multiplied by the height over 2.)

4 0
3 years ago
Kara bought two birthday gifts for her twin nephews. Each gift cost $12.50. Sales tax was 6.75%. What was the total cost for the
Katyanochek1 [597]

Answer:

Step-by-step explanation:

two birthday gifts n each costs $12.50 so 12.50x2 = $25

sales tax was 6.75% on $25 = 25x6.75/100 = $1.69

total cost including tax = 25+1.69 = $26.69

6 0
3 years ago
Read 2 more answers
Other questions:
  • How to find three consecutive odd numbers whose product is 2145?
    13·1 answer
  • What’s negative and positive on y axis and x axis
    10·1 answer
  • Which of the following correctly describes the sum of two rational numbers?
    9·1 answer
  • Is the function represented by the table non-linear?
    13·1 answer
  • IM LITERALLY BEGGIIINNGG HURRRYYYY PLSSSS HELP MEH
    14·1 answer
  • he trans pacific express projects 11,000 mile in telecommunications cable under the pacific ocean connecting the US eastern asia
    11·2 answers
  • ( − 7 , 21 ) ( - 7 , 21 ) and is parallel to the line y = 1 7 x − 56 ? y = 1 7 x - 56 ?
    8·1 answer
  • K divided by 11 is 7 <br><br> Solve for k<br><br> k= ?
    5·1 answer
  • The mean age of swimers for all of these teams is 10. what does a large mad tell you.eade help​
    7·1 answer
  • What is the equation of the line shown in this graph?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!