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

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]

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

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

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.

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

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

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.

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!

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.

I need help with this

Answers

Hello there I think the answer is 2.

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

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%

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

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%

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)

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 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

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 :)

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

Need help, please help me ASPA!!!

Answers

Answer:

35 degrees

Step-by-step explanation:

35 degrees is your answer

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:

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

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??

what is the word capacity mean

Answers

Answer:

the maximum amount that something can contain. hope this helps :)

Step-by-step explanation:

Write an equation of the line and interpret the slope:

Answers

Answer:

Equation = y=3x+12

Slope is 3

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

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 D

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

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