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

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 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.

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

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

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.

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)

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%

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 :)

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

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]

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

-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

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