PQRS is a Quadrilateral such that pq=8cm , QR = 4cm and SR=5cm If PQ and SR are Produced to meet at x such that Qx = 8cm. and RX=10cm Calculate Ps to a suitable degree of accuracy ​

Answers

Answer 1

Answer:

  PS ≈ 6.08

Step-by-step explanation:

All of the side lengths are given except PS. It can be found using the Law of Cosines, twice.

The first use of the Law of Cosines will be to find the cosine of the angle at X.

  QR² = QX² +RX² -2(QX)(RX)cos(X)

  cos(X) = (QX² +RX² -QR²)/(2·QX·RX) = (8² +10² -4²)/(2·8·10) = 37/40

__

Now, the Law of Cosines can be used to find PS:

  PS² = PX² +SX² -2(PX)(SX)cos(X)

  PS² = 16² +15² -2(16)(15)(37/40) = 37

  PS = √37 ≈ 6.083

The length of PS is about 6.08 units.

_____

As the attachment shows, the problem can also be solved using a geometry app to draw the figure and make the measurement.

PQRS Is A Quadrilateral Such That Pq=8cm , QR = 4cm And SR=5cm If PQ And SR Are Produced To Meet At X

Related Questions

Complete the following item. 5 < x <

16 8 11

Answers

I believe it should be eleven

3+8=11
8-3=5

Your cellphone company charges a $18 monthly fee, plus $0.11 per minute of talk time. One month your cell phone bill was $70.80. How many minutes did you spend talking on the phone that month?

Answers

Answer:

480 minutes would be the answer

Step-by-step explanation:

Answer:

480 minutes

Step-by-step explanation:

We can write this relationship as [tex]y=0.11x+18[/tex] and then solve for x when y=70.80:

[tex]y=0.11x+18\\\\70.80=0.11x+18\\\\52.80=0.11x\\\\480=x[/tex]

Therefore, you spent 480 minutes talking.

For every $3.00 donated to a certain charity by Club A, $1.25 was donated by Club B. If the combined total amount donated to the charity by both clubs was $25,500.00, how much did Club A donate?

Answers

Answer:

D, $18,000.00

Step-by-step explanation:

Club A

$3 x is donated where x is the number of donations

Club B

$1.25x  is donated where x is the number of donations

The total of donations is 25500.00

Add the donations  times the dollar amount  for Club A and Club B and you get the total amount donated

$3x +$1.25x = 25500.00

Combine like terms

4.25x = 25500.00

Divide by 4.25 on each side

4.25/4.25x = 25500.00/4.25

x =6000

There were 6000 donations

We want to find Club A donation amount

$3 x is the amount donated

3*6000 = 18000

Answer:

that guys smart

Step-by-step explanation:

Which numbers are factors of 12? Check all that apply
2
5
6
12
24

Answers

Answer:

2 6 12

Step-by-step explanation:

there are the only factor of 12 there

Can someone please explain this to me?

Answers

Answer:

62°

Step-by-step explanation:

Angle KPO = 90°. If you add angles KPN and NPO together, you will get 90°. Set up an equation and solve for x.

2x + x - 3 = 90

3x - 3 = 90

3x - 3 + 3 = 90 + 3

3x = 93

3x/3 = 93/3

x = 31

Now solve for the measure of KPN by substituting 31 for x.

KPN = 2x

KPN = 2(31)

KPN = 62°

Answer:

D 62

Step-by-step explanation:

Good luck

What is the constant of proportionality in this proportional relationship? PLS I WILL MAKE U BRAINLELIST​

Answers

Answer:

The constant of proportionality is [tex]k=\frac{7}{9}[/tex]

Step-by-step explanation:

Recall that the equation for direct variation is [tex]y=kx[/tex] where [tex]y[/tex] varies directly with [tex]x[/tex] and [tex]k[/tex] is the constant of proportionality.

Here, [tex]k=\frac{7}{9}[/tex] since [tex]2(\frac{7}{9})=\frac{14}{9}=1\frac{5}{9}[/tex], [tex]3(\frac{7}{9})=\frac{21}{9}=2\frac{3}{9}[/tex], and so on.

A triangle having sides 12cm, 8cm, 8cm, is​

Answers

Answer:

isosceles triangle

Step-by-step explanation:

An isosceles triangle has 2 congruent sides

The triangle described here has 2 congruent sides of 8 cm

The triangle is isosceles

Answer:

if 2x-1 is a factor of the polynomial f(x)= 8^3 +4^2+kx+15 where is a constant find the value of k and factorise f(x) completely when k has this value

Using postulates and/or Theorems learned in unit 1, determine weather ABC ~ AXY. show all your work and explain why the triangles are similar and why they are not.

Answers

Answer:

AX / AB = 6/18 = 1/3

AY / AC = 10/25 = 2/5

They are not similar because the two ratios is not the same.

Step-by-step explanation:

I'm not really sure okay!

Note that [tex]\frac{AX}{AB}=\frac{6}{24} =\frac{1}{4} ,and\frac{AY}{AC}=\frac{10}{35}=\frac{2}{7}.[/tex]

Because the ratio of the lengths of corresponding sides of the triangles are not equal, the triangles are not similar.

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Answer by: Medunno13

https://brainly.com/question/26646936

HELP!! Please answer 9 and ten with solution needed!!

Answers

Answer:

m=7 z=-12

Step-by-step explanation:

expand brackets:

8m+24=5m+45

Change sides:

8m-5m=45-24

3m=21

m=7

z-6    =  3

2z         4

Coss multiply:

4z-24=6z

4z-6z=24

-2z=24

Divide both sides by -2:

z=-12


9x + 8 y = -6
-9x - 9y - 9
Elimination

Answers

Answer:

x = 2, y = -3

Step-by-step explanation:

Add them together and get

9x + 8y - 9x - 9y = -6 + 9

-y = 3

so y = -3.

Sub it into the first equation and get

9x + 8(-3) = -6

9x - 24 = -6

9x = -6 + 24 = 18

x = 18/9 = 2

what are the names of these polygons

Answers

Answer:

1. This is a Quadrilateral.

(There're 4 sides)

2. This is a Pentagon.

(There're 5 sides)

The first polygon is a quadrilateral.

The second polygon is a pentagon.

Polygons:

Polygons are  flat or plane, two-dimensional closed shape with straight sides.

Polygons are classified base on the number of side they possess. For example polygon with 4 sides are called quadrilaterals, the ones with 8 sides are referred to as octagons.

Therefore, the  polygons above have 4 sides and 5 sides respectively.

The polygon with 4 sides is know as a quadrilateral.

The polygon with 5 sides is known as a pentagon

learn more on polygons here: https://brainly.com/question/7921826

Simplify 5^2 • 5^4
O A. 5^8
O B. 5^6
O C. 5•8
O D. 5^2

Answers

Answer:

Option B

Step-by-step explanation:

Given the following question:

[tex]5^2\times5^4[/tex]

In order to find the answer, we simply apply the exponent rule and add the exponents.

[tex]5^2\times5^4[/tex]
[tex]2+4=6[/tex]
[tex]=5^6[/tex]

The answer is option B or "5^6."

Hope this helps.

what is 6 20/97 as a improper fraction?

Answers

Answer:

120/97

Step-by-step explanation:

When you're turning a mixed fraction into an improper fraction, you keep the denominator (bottem number) the same, but you times the numerator (top number) by the whole number (non-fraction number/left number)

6 * 20 = 120

Therefore it should be 120/97

This can not be simplified though (if I recall)

3x-17=-41. answer for x pls

Answers

Answer: x = -8

Step-by-step explanation:

Move all terms that don't contain x to the right side and then solve

Answer: x=-8

How to solve: First you add 17 to 17 and 17 to -41. That gives you 3x=-24. You then divide both sides by 3 which gives you -8.

i need help don't understand tell the answer and explain

Answers

The answer is D. This is because it is talking about domain and range. Domain the the x value and range is the y values. (x,y) is what the order pair looks like so the right side is the range therefore the right side circle values are the range. Hope that helps:)

Help please I am stuck

Answers

Answer:

Prime numbers:

11, 61, 43, and 29.

Step-by-step explanation:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

For example:

13 has only two factors, itself and 1. So, it is a prime number.

4 has three factors, itself, 1, and 2. So, it is not a prime number.

Your other answers are correct.

Hope this helped!

Pls help me on this question look at the image.

Answers

Answer:

  (b)  16 ft²

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h . . . . . where b1, b2 are the base lengths, h is the height

Using the values shown on the diagram, we find the area to be ...

  A = 1/2(3 ft + 5 ft)(4 ft) = (1/2)(8 ft)(4 ft) = 16 ft²

The area of the trapezoid is 16 ft².

jenelle is planting a circular vegetable garden with a fence around the border. If she can use up to 50 feet of fence, what is the largest whole number radius she can use for the garden?

Answers

The Length of the fence in the example doubles as the perimeter of the circular garden. Hence the largest whole number of the radius is 8 feet

Mensuration of Plain Shapes (Circle)

Given Data

Length of Fence = 50 feet

Largest Whole number Radius = ??

In this exercise, the Length of the fence is the same as the perimeter of the circular vegetable garden.

We know that the expression for the perimeter of a circle is given as

Perimeter of Circle = 2πr

From here we can solve for the Radius r

50 = 2*3.142*r

50 = 6.284r

divide both sides by 6.284

r = 50/6.284

r = 7.956 feet

r = 8 feet

Learn more about circle here:

https://brainly.com/question/24375372

What fraction of the model is shaded?

Answers

Answer:

3/10

Step-by-step explanation:

total boxes = 100

shaded boxes = 30

fraction =30/100

= 3/10

What is the slope of the graphed line

Answers

Answer:

3/9 or 1/3 is the slope

Step-by-step explanation:

yeah


[tex] \frac{5}{3} + \frac{4}{6} = [/tex]
.................​

Answers

Answer:

[tex]\frac{7}{3} =2\frac{1}{3}[/tex]

Step-by-step explanation:

For the problem:

[tex]\frac{5}{3} +\frac{4}{6} = ?[/tex]

The Least Common Multiple (LCM) of 3 and 6 is 6. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:

[tex]\frac{5}{3} +\frac{4}{6} =\frac{5*2}{3*2} +\frac{4}{6} =\frac{10}{6} +\frac{4}{6}[/tex]

Now that the fractions have like denominators, add the numerators:

[tex]\frac{10}{6} +\frac{4}{6} =\frac{10+4}{6} =\frac{14}{6}[/tex]

The Greatest Common Factor (GCF) of 14 and 6 is 2. The result can be simplified by dividing both the numerator and denominator by 2.

[tex]\frac{14}{6} =\frac{14/2}{6/2} =\frac{7}{3}[/tex]

7 ÷ 3 = 2R1, therefore:

[tex]\frac{7}{3} =2\frac{1}{3}[/tex]

Evaluate.

five over four with 3 as an exponont plz give a fration

Answers

Answer:

[tex] \frac{25}{16} \: \: or \: \: 1\frac{9}{16} [/tex]

Step-by-step explanation:

[tex]( \frac{5}{4} )^{3} = \frac{ {5}^{3} }{ {4}^{3} } = \frac{5 \times 5 \times 5}{4 \times 4 \times 4} = \frac{5 \times 25}{20 \times 4} = \frac{25}{4 \times 4} = \frac{25}{16} = 1 \frac{9}{16} [/tex]

joelle spent 1 1/2 hours studying for her science test. Rileigh studied for 3/4 of Joelle’s time. What fraction of an hour did Rileigh spend studying?

give a Model:

Check answer with multiplication:

NO LINKS

Answers

Answer:

1¹/₈ hours

Joelle spent 1¹/₂ hours reading and Rileigh spent 3/4 of that time.

To find out how much time Rileigh spent, multiply the fractions but first convert the improper fraction to a proper fraction:

= 1¹/₂ = 3/2

= 3/2 * 3/4

= 9/8

= 1¹/₈ hours

Step-by-step explanation:

10 points!


An artist has been hired to paint a mural of a sailboat on the side of a building. The original sailboat is 32 feet in length and has a mast height of 40 feet. The

artist will create the mural using a scale factor of 4:3 to relate the original dimensions to mural dimensions.


How tall will the mast of the sailboat be in the mural?


_____ ft?

Answers

Answer:

30 feet

Step-by-step explanation:

A ratio of 4:3 means that if one part can be represented by x, the original height is equal to 4 * x and the mural height is equal to 3 * x. This is because the ratio of original : mural is 4 : 3, so if one part = x, we have 4 * x : 3 * x. Therefore,

original mast height = 40 feet

4 * x = original mast height = 40 feet

divide both sides by 4 to get x

x = 10 feet

3 * x = mural mast height = 3 * 10 feet = 30 feet

a b
36 9
72 18
80 20
Find the constant of proportionality from a to b. Express
your answer as a fraction in reduced terms.

Answers

The constant of proportionality is 4. Also, look at 36, and 9 because you could have just divided it it is not as complicated as you think.

What is done wrong in this question please answer it ASAP!!!! Need to submit in 30 min please some one please answer!!!!!

Answers

Answer:

They flipped the wrong fraction it should have been 2/3 as the fraction you divide by is the fraction you flip

Huilan is 5 years older than Thomas. The sum of their ages is 67. What is Thomas's age?​

Answers

Answer:

31

Step-by-step explanation:

hope this helps

please help the answer is in the screenshot

Answers

Answer:

Their angles are equal and the sides are the same ratio

Step-by-step explanation:

Hope this helps (doesn't need much explanation)

their angles are equal and their sides are in the same ratio.

A bicycle wheel has a circumference of 62 inches. Find the diameter of the wheel. If necessary, round to the tenths place. 39. 5 inches 19. 7 inches 15. 5 inches 9. 9 inches.

Answers

Answer:

19.7 inches

Step-by-step explanation:

circumference of a circle = 2πr

62 = 2*22/7 *r

r = 62 * 7 / 44 = 9.86

diameter = 2* r

= 2* 9.86

= 19.7 inches

How much longer is a 1-inch button than 3/8- inch button?

Answers

1 inch is the same as 8/8
Use this to solve
8/8 - 3/8 = 5/8
The 1 inch button is 5/8 longer than the other button. Hope this helps!

Answer:

5/8 inch longer

Step-by-step explanation:

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