ABCD is a parallelogram in which cd = 7cm Ad = 5cm ND adc = 125.. Find correct to one decimal place the area of the parallelogram.
Answers
28.7cm²
Step-by-step explanation:
The sketch of the parallelogram is attached to this response.
As shown in the sketch,
h is the height of the parallelogram
ADC is 125°
AD = 5cm
CD = 7cm
Also
Since the adjacent angles of a parallelogram are supplementary (add up to 180°), it means that;
=> ADC + BCD = 180°
=> 125° + BCD = 180°
=> BCD = 180° - 125°
=> BCD = 55°
The area (A) of a parallelogram is given by;
A = b x h ----------(i)
Where
b = base of the parallelogram
h = height of the parallelogram
From the sketch,
b = CD = 7cm
h can be found by using the sine trigonometric function as follows
sin BCD = [tex]\frac{h}{BC}[/tex]
=> sin 55° = [tex]\frac{h}{5}[/tex]
=> h = 5 sin 55°
=> h = 5 x 0.8192
=> h = 4.096cm
Now, substitute the values of h and b into equation (i) as follows;
A = 7 x 4.096
A = 28.672
A ≅ 28.7 (to one decimal place)
Therefore, the area of the parallelogram is 28.7cm²
Related Questions
PLS HELP ASAP GIVING BRAINLIEST TO RIGHT AWNSER
Answers
It's C, just look at where the points are.
Answer:
It's C,
hope it helps
please help! 10 points and brainlyist!!
Answers
Answer:
1.80 in^3
1.0 fluid ounces^3
Step-by-step explanation:
volume of a cone = 1/3 πr²h
π = 3.14
r = 2.2 / 2 = 1.1
h = the value of h can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
1.8² = 1.1² + b²
3.24 = 1.21 + b²
3.24 - 1.21 = b²
2.03
b = √2.03 = 1.42
Volume = 1/3 x 3.14 x 1.21 x 1.42 = 1.80 in^3
1.80 x 0.554 = 1.0 fluid ounces^3
A department store manager to estimate at a %90 confidence level the mean about by all customers at this store
Answers
Answer:
The answer is "287.19"
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\alpha=1-0.90=0.10\\\\\frac{\alpha}{2}=0.05\\\\Z=1.64\\\\Marginal \ error=Z \times \frac{\sigma_x}{\sqrt{n}}\\\\n=(\frac{Z \times \sigma_x}{error})^2\\\\n=(\frac{1.64 \times 31}{3})^2\\\\n=287.1895\approx 287.19[/tex]
EXERCISE 22.3
1.Divide 250 in the ratio 3:2
2.Divide 144 in the ratio 1:2
3.Divide 10 kg in the ratio 2:3
4.Divide 1 hour in the ratio 5:7
5.Divide 8m in the ratio 3:13
6.Divide 45 km in the ratio 7:8.
7.Divide 4 hours in the ratio 5:3
8 .Divide 2 kg in the ratio 3:7
9 .Divide 3 litres in the ratio 7:5
10.Divide 1 cm in the ratio 2:3
11.Divide 70 in the ratio 60% to 40%
12.Divide 1 hour in the ratio 20% to 80%
13 .Express the ratio 3:17 as percentages.
14 .Express the ratio 9:31 as percentages.
Answers
2. 144/1:2 is 144/ ½ = 144 x 2/1 = 288
Can someone help me with this please? I will mark you brainliest
Answers
Answer:
On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.vvOn the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.vcOn the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.
Step-by-step explanation:
Need help, please help me ASPA!!!
Answers
Answer:
35 degrees
Step-by-step explanation:
Factor 56−16 using the GCF.
56−16=
Answers
Answer:
The GCF of 16 and 56 is 8. The answer is 8
Answer:
The GCF of 16 and 56 , the answer is 8.
Please help me need ASAP
Answers
Answer:
The answer is either (3) or (4) because drawing a line of best fit and finding its gradient is going to give you a negative answer
Answer:
-0.93
Step-by-step explanation:
As mentioned by Nicolas above, the line of best fit should give a negative coefficient because as x increases, y decreases.
Furthermore, since the lines do not make a perfect line, it cannot be the perfect fit, or a correlation of -1.00.
So we choose a negative answer but not -1.00 as explained previously. That lease the only choice of -0.93, by elimination without doing any calculations.
please answer this 1234rt5y6huj7ki
Answers
Answer:
The answer would be option B.
Step-by-step explanation:
There are more people clustered in 22-25 years and the outlier is 38-41 years.
can someone help me with part A please??
Answers
Answer:
h=4cm
Step-by-step explanation:
a) volume of a cuboid= LBH
cuboid a=(3x2x8)cm³
=48cm³
cuboidb
6cmx2cmxh=48cm³
12cm²xh=48cm³
12cm²h/12cm²=48cm³/12cm²
h=4cm
How is 1 over 9 a rational number?
Answers
Answer:
Because 1/9 is a fraction with integers meaning it is a fraction with whole numbers.
Step-by-step explanation:
Any number that can be written as a fraction with integers is called a rational number. For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.)
Hope this helps
what is the word capacity mean
Answers
Answer:
the maximum amount that something can contain. hope this helps :)
Step-by-step explanation:
Please tell me how to slove this?
Answers
Answer:
:)
Step-by-step explanation:
ok so first you have to find the area of the white triangles, so the first one is 2 x 4= 8 cm2 and the second one is 3 x 2.5= 7.5 cm2, 8+7.5= 15.5 cm2, so the non-shaded region is 15.5 cm2, ok now find the area of the whole rectangle and subtract 15.5 from it hope this helped :)
Triangle A is reflected in the x-axis to give B.
Triangle B is reflected in the y-axis to give C.
Describe fully the single transformation that maps A onto C.
PLZ HELP
Answers
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.
If a point A(x, y) is reflected over the x axis, the new point is at A'(x, -y). If a point B(x, y) is reflected over the y axis, the new point is at A'(-x, y).
Triangle A has vertex at (-4, -2), (-4, -5) and (-2, -5). If triangle A is reflected in the x axis to give triangle B, the vertex of triangle B is (-4, 2), (-4, 5) and (-2, 5).
If triangle B is reflected in the y axis to give triangle C, the vertex of triangle C is at (4, 2), (4, 5) and (2, 5). Hence the transformation is:
(x, y) ⇒ (-x, -y)
help please! the question is in the picture below for reference when answering! thank you so much!
Answers
Answer:
Neither perpendicular or parallel
Step-by-step explanation:
The y-intercept would not be the same, and the slope would be different. That means that line wont be parallel, or perpendicular.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!! Solve for X for the following
Answers
Answer:
Fig. 1 :- 7.6
Fig. 2 :- 15
Step-by-step explanation:
We can use Pythagoras theorem to solve for x
[tex]c^{2} =a^{2} +b^{2}[/tex]
Figure 1:
[tex]c^{2} =7^{2} +3^{2}[/tex]
[tex]c^{2} =49+9[/tex]
[tex]c^{2} =58[/tex]
[tex]c=\sqrt{58}[/tex]
[tex]c=7.615773106[/tex]
You can now round your answer:
[tex]c=7.6[/tex]
Figure 2:
[tex]c^{2} =12^{2} +9^{2}[/tex]
[tex]c^{2} =144+81[/tex]
[tex]c^{2} =225[/tex]
[tex]c=\sqrt{225}[/tex]
[tex]c=15[/tex]
I hope this helps :)
Step-by-step explanation:
fig(1)
h=x
p=3
b=7
now,
h^2=p^2+b^2. (by Pythagoras theory)
or, x^2=3^2+7^2
or, x^2=9+49
or, x^2=58
or, x=√58
fig(2)
h=x
p=12
b=9
now,
h^2=p^2+b^2
or, x^2=12^2+9^2
or, x^2=144+81
or, x^2=225
or, x=15
Maria has $120. She plans to purchase a shirt for herself and gifts for 6 of her
friends. She plans to spend the same amount for each gift. Which of the
following inequalities best represents the maximum amount Maria can spend on
each gift? *
DONT say the answer is on some link that’s annoying.
Answers
on edge
Help me PLEASEEEE
find the the angles
Answers
A sociologist conducts an experiment to see how watching a documentary on young men in gay relationships affects individual attitudes toward gay marriage. Both men and women are given a survey, but only those in the experimental group watch the video before answering the survey questions. Identify the dependent variables in this experiment.\
Answers
Answer:
those people in the experimental group who watch the video.
Step-by-step explanation:
A dependent variable is defined as a variable for which the value depends on the other factors. A change in the depended variable in an experiment changes the result of the experiment or the research.
In the context, a sociologist who conducts an experiment to see the affect on the relationship in the young men after watching a video. Here the dependent variable are the young men and women who are given the video to watch before they answer the question.
Question 3
In the triangle below, what is the side opposite to
Answers
Answer:
In the given diagram the side opposite angle J is LR which is :
Option DAccording to Chad, all intersecting lines form right angles.
If he's right, explain why.
A. Chad is correct because intersecting lines are always perpendicular.
B. Chad is incorrect because intersecting lines are never perpendicular.
C. Chad is incorrect because intersecting lines are sometimes perpendicular.
D. Chad is correct because intersecting lines are sometimes perpendicular.
Answers
Answer:
C. Chad is incorrect because intersecting lines are sometimes perpendicular.
Step-by-step explanation:
SOMETIMES perpendicular (90 degree angle, aka right angle) not always.
Chad is incorrect because intersecting lines are sometimes perpendicular.
What are perpendicular lines?If the angle between two lines is 90 degrees, lines are called perpendicular lines.
If two lines intersect each other, it is not necessary that they will intersect at 90°.
Sometimes they can intersect at 90° and sometimes not.
So, Chad is incorrect because intersecting lines are sometimes perpendicular.
Hence, Chad is incorrect because intersecting lines are sometimes perpendicular.
To get more about intersecting lines visit:
https://brainly.com/question/18013592
The length of a bridge is 180 m. The length of each of Robert's paces is 55 cm.
What is the minimum number of full paces that it would take Robert to walk the full length of the bridge?
Answers
Answer:
328 paces
Step-by-step explanation:
180m=180,00cm
18000÷55=3600/11=327 3/11
Tyrone is converting StartFraction 45 Over 50 EndFraction to a percent. Which method should he use to find the percent?
Answers
Answer:
Multiply the numerator and the denominator of the fraction by 2.
Step-by-step explanation:
Here are the options :
Divide the numerator and denominator of the fraction by 2.
Subtract 40 from the numerator and denominator of the fraction.
Multiply the numerator and the denominator of the fraction by 2.
Add 50 to the numerator and denominator of the fraction.
(45 x 2) / (50 x 2) = 90/100
Multiply 90/100 by 100 = 90%
the same answer would be gotten if 45/50 is multiplied by 100
45/50 x 100 = 90%
Solve this equation
1 . B/-7 = 4
Answers
Step-by-step explanation:
B/-7 = 4
Cross multiple
-7×4 = B
-28 = B
Answer:
-28
Step-by-step explanation:
First, multiply 4*-7= -28.
You're done. B=-28
Hope this helps!
If h(x) = 5 – 7x^2. what is h(-1)?
Answers
Value of function h(x) = [tex]5-7x^{2}[/tex] for variable [tex]x=-1[/tex] is equals to -2.
What is variable?
" A variable is defined as the quantity whose value gets change as per the mathematical situation."
According to the question,
Given function,
[tex]h(x) = 5-7x^{2}[/tex]
Substitute the value of the variable [tex]x=-1[/tex] we get,
[tex]h(-1)= 5-7(-1)^{2}[/tex]
[tex]= 5-7\\=-2[/tex]
Hence, Value of function h(-1) is equals to -2 for the variable [tex]x=-1[/tex].
Learn more about variables here
https://brainly.com/question/15740935
#SPJ2
For people who have taken PreCalc/Calc:
Find the constant a such that the function is continuous on the entire real line.
(Summer Math Packet)
Answers
Answer:
cant see the picture
Step-by-step explanation:
David is a professional ice skater who has skated in 10 competitions. His scores in the competitions are as follows: 204, 310, 279, 314, 257, 302, 232, 261, 208, 217.
The mean score is:
A: 268
B: 268.4
C: 267
D: 267.4
Answers
Answer: 267.7
I just did the math and I got this answer
Write an equation of the line and interpret the slope:
Answers
Answer:
Equation = y=3x+12
Slope is 3
Step-by-step explanation:
I need help with this
Answers
There are 20 dogs at the dog park on a busy Saturday. 8 of them are beagles.
What is the probability that a randomly selected dog is a beagle?
Answers
Answer:
40%
Step-by-step explanation:
The probability is 8/20 = 2/5 = 0.4 = 40%