Mathematics High School

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

Answer 1

Answer:

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

ABCD Is A Parallelogram In Which Cd = 7cm Ad = 5cm ND Adc = 125.. Find Correct To One Decimal Place The

Related Questions

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

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

Help me PLEASEEEE
find the the angles

Answers

You need to find x so that then you can do it and you didn’t share a answer so how are we supposed to know??

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

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.

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

it’s option 4 :)
on edge

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.

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

According 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

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

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.

If h(x) = 5 – 7x^2. what is h(-1)?

Answers

-2. you just substitute the -1 in for x

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

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]

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%

Can someone help me with this please? I will mark you brainliest