Points P and Q are respectively 4m North and 3m East of point R. Calculate the distance between point P and Q​

Answers

Answer 1
PR=4mQR=3m

Apply Pythagorean theorem

PQ²=QR²+PR²PQ²=4²+3²PQ²=5²PQ=5m
Points P And Q Are Respectively 4m North And 3m East Of Point R. Calculate The Distance Between Point
Answer 2

Answer:

Distance between point P and Q = 5m

Step-by-step explanation:

Given

Point P is 4m north (↑) of Point RPoint Q is 3m east (→) of Point R

Using Pythagorean Theorem (applicable for only right triangles)

PQ = √4² + 3²PQ = √25PQ = 5 m

Hope it helped~

Points P And Q Are Respectively 4m North And 3m East Of Point R. Calculate The Distance Between Point

Related Questions

Rewrite the fraction in the sentence below as a percentage. At a certain wedding, 1/10 of the guests were over 60 years old.

Answers

Answer:

10%

Step-by-step explanation:

1/10  = 10%

Cody wanted to give each of his forty-five friends an equal amount of candy. At the store he bought six hundred eighty pieces total to give to them. How many more pieces should he have bought so he didn't have any extra pieces?​

Answers

Divide total bought by number of people first:


680 / 45 = 15.111


round up to 16. Multiply 16 by 45:

45 x 16 = 720

He should have bought 720 pieces. Now by Tracy to find how many more pieces:

720 - 680 = 40

He should have bought 40 more pieces.

Answer is 345 make an equation from 100, 10, 3, 4, 5, 2, 1

Answers

Answer: 10 × 3 + 4 + 5 × 2 + 1 + 3 × 100 = 345

Which number is a common multiple of 2 and 3?

A) 8
B) 16
C) 28
D) 36

Answers

Answer:

D

Step-by-step explanation:

36 can be divided by both 2 & 3

Answer:

The answer is D.

Step-by-step explanation:

2x18=36

3x12=36

6) Over the course of 17 weeks Tiffany collected 18 pounds of cans to recycle and Tom
collected 8 times as much as Tiffany. Tom then put his collection into 6 bags to take to
the recycling center. How many pounds of cans did Tom put into each bag?

Answers

Answer:

24 per bag

Step-by-step explanation:

18x8=144 then divide by 6= 144÷6=24

Need help with his geometry question. Find the value of x

Answers

Answer:

Step-by-step explanation:

GEOMETRY Find the diameter d of the circle in the figure at the right. Round to the nearest tenth if necessary.
18 ft
d ft
22 ft
12.6 ft
O 160 ft
O 4'ft
28,4 ft

Answers

Answer:

d = 12.6 ft

Step-by-step explanation:

From inspection of the given diagram, the diameter of the circle is equal to the shortest leg of the right triangle.  

Pythagoras Theorem explains the relationship between the three sides of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the legs of a right triangle.

Pythagoras Theorem

[tex]a^2+b^2=c^2[/tex]

where:

a and b are the legs of the right triangle.c is the hypotenuse (longest side) of the right triangle.

Therefore, use Pythagoras Theorem to find the measure of d.

Given values:

a = db = 18 ftc = 22 ft

Substitute the given values into the formula and solve for d:

[tex]\implies d^2+18^2=22^2[/tex]

[tex]\implies d^2+324=484[/tex]

[tex]\implies d^2=484-324[/tex]

[tex]\implies d^2=160[/tex]

[tex]\implies d=\sqrt{160}[/tex]

[tex]\implies d=12.6491106...[/tex]

Therefore, d = 12.6 ft (nearest tenth).

Learn more about Pythagoras Theorem here:

https://brainly.com/question/27648540

https://brainly.com/question/27988757

which statement is true regarding the graphed functions?

f(0) = 2 and g(-2) = 0
f(0) = 4 and g(-2) = 4
f(2) = 0 and g(-2) = 0
f(-2) = 0 and g(-2) = 0

Answers

point (2 ; 0) on Cf so f(2) = 0

point (0 ; 4) on Cf so f(0) = 4

point (-2 ; 0) on Cg so g(-2) = 0

Find the volume of the cylinder

Answers

Radius=16mm=rHeight=h=17.5mm

Volume:-

πr^2hπ(16)^2(17.5)π(256)(17.5)4480πmm^2

How do you know that the Pythagorean Theorem is true?

Answers

The fact that the angles in a triangle add up to 180 indicates that it is actually a square). There are also four right triangles, each with a base and a height. The Pythagorean Theorem is reached when a2 + b2 = c2.

Diego rides his bicycle at a constant rate of 0.3 kilometers per minute. Which graph best represents y, the total number of kilometers Diego rides his bicycle in x minutes?

Answers

y(x)=0.3x

since he travels 0.3 kilometers for each minute (x)

then y as a function of x is 0.3×the number of minutes(x)

Graph y = 0.5|x|
The graph of the function f(x) = 0.5|x| is than its parent graph, f(x) = |x|.
The Domain and Range?

Thanks!

Answers

Domain: x is all reals
Range: y ≥ 0

PLEASE help me. Please, I beg you.
How does the Vietnam War influence policies and decisions made in the United States today? Justify your response.

Answers

Vietnam war

This is the war between the communist governmrnt of Vietnam North and the South Vietnam.  The United States of America were the main ally of the Vietnam south during the war.

The communist Vietnam North later united with the south with a common name Socialist Reepublic of Vietnam, After a fierce onslaught that took the life of about 58000 americans and over 2 million Vietnamese.

The influence of the Vietnam war in United States today

1. End of the drafts

The drafts is the method of conscription to the military that requires vitually every male between the age of 18 - 25 in United States to register with the selective service. since the end of the Vietnam war in 1975 the draft stopped hence no penalty for not registering to the draft.

2. Granting 18 years old the right to vote

26th Amendment of the United States Constitution gave right to vote to the 18 years old citizens. Today 18 tear old American has right to vote. This was evolvement of the war and still holds till date.

3. It is easier getting into a war than getting out of a war

Americans was pulling out of the Vietnam war when they suffered the huge massacre. This lesson was helpful for president George H W Bush during the 1991 Persian Gulf War were he systematically exited after liberating Kuwait

Read more on Vietnam war here: https://brainly.com/question/24845081

What is the exact value of tan(67.5°)?

StartRoot 3 EndRoot
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
StartStartRoot StartFraction 2 minus StartRoot 2 EndRoot Over 2 + StartRoot 2 EndRoot EndFraction EndEndRoot
StartStartRoot StartFraction 2 + StartRoot 2 EndRoot Over 2 minus StartRoot 2 EndRoot EndFraction EndEndRoot

Answers

Answer:

the answer is shown below

I truly hope this helps you -TJ

Step-by-step explanation:

here you go

Answer:

D

Step-by-step explanation:

Edge

Refer to Figure 8-9. The loss of producer surplus as a result of the tax is a. $3,000. b. $6,000. c. $9,000. d. $12,000.

Answers

The loss in producer surplus as a result of the tax given the information in the diagram is  $9000.

What is the loss in the producer surplus?

Producer surplus is the difference between the price of a good and the least price the seller is willing to sell the product

The dead weight loss of tax can be determined by calculating the reduction in total surplus as a result of the tax

Loss = (1/2 x 600 x 40) - (1/2 x 300 x 20)

12000  - 3000 = $9000

Please find attached the complete question. To learn more about surplus, please check: https://brainly.com/question/25816093

Graham carves a block of wood shaped like a cube with a square pyramid on top. How much paint will Graham need to paint the toy? Enter your answer in the box.

Answers

Divide the box into two parts for easy way answer

For cube:-

Side=a=12cm

TSA

6a²6(12)²6(144)864cm^2

Cancel one side area

TSA=864-144=720cm^2

For triangular pyramid:-

Area of one base

0.5(Base)(Height)0.5(12)(15)6(15)90cm^2

Area of four sides=90(4)=360cm^2

Total surface area:-

720+3601080cm^2

Answer:

1080 cm^2

Step-by-step explanation:

∴ Given:

Graham carves a block of wood shaped like a cube with a square pyramid on top.

∴To Find:

How much paint will Graham need to paint the toy?

∴Solve:

Base on the given:

[tex]S=5a^2+4ah\cdot\frac{1}{2}[/tex]

= [tex]5\cdot12^2+4\cdot12\cdot15\cdot\frac{1}{2}[/tex]

[tex]=1080cm^2[/tex]

Hence [tex]1080cm^2[/tex] of paint is needed.

~lenvy~

Help please!!! I don't understand

Answers

[tex]\left|x-\dfrac 12\right| = 3\dfrac 23\\\\\\\implies \left|x- \dfrac 12 \right| = \dfrac{11}3\\\\\\\implies x-\dfrac 12 = \dfrac{11}3 ~~~~~~~~~ \text{or}~~~~~~~ x - \dfrac 12 = - \dfrac {11}3\\\\\\\implies 2x -1 = \dfrac{22}3 ~~~~~~~~ \text{or}~~~~~~~~2x-1 =-\dfrac{22}3\\[/tex]

[tex]\implies x =\dfrac 12\left(\dfrac{22}3 +1 \right) ~~ \text{or}~~~~~~~~ x = \dfrac 12 \left(1-\dfrac{22}3\right)}\\\\\\\implies x = \dfrac{25}6~~~~~~~~~~~~~~~ \text{or}~~~~~~~~ x=-\dfrac{19}6\\\\\\\implies x = 4\dfrac 16 ~~~~~~~~~~~~~~~ \text{or}~~~~~~~~x = -3\dfrac16[/tex]

Solve: |x-2|=3
Can someone explain how to do this please!!!

Answers

Step-by-step explanation:

after x^2-4x-5 do sum and product

Will mark YOU brainliest!!
Express the following phrase as a unit rate:
135 miles on 9 gallons of gas

Answers

Answer: 15 miles per gallon

Step-by-step explanation:

135 divided by 9

15 miles per gallon

rate:

[tex]\sf \dfrac{distance}{amount \ of \ oil}[/tex]

[tex]\rightarrow \dfrac{135}{9}[/tex]

[tex]\sf \rightarrow15 \ miles \ per \ gallon[/tex]

what is the area of the parallelogram?​

Answers

The area of a parallelogram is the product of:

   --> length of the base and the height

length: 7ftheight: 5ft

Thus the area = 7 * 5 = 35 square feet

Hope that helps!

area of the base= 75square inches and heigh = 15 inches

Answers

75 ÷ 15 = 5

the width is 5 inches

How many times does 8 go into the 7 1/2

Answers

Answer:

0.9375

Step-by-step explanation:

1/2=0.5

7.5÷8

=0.9375

barely even once

100 PTS AND BRAINLIEST WRONG ANSWERS REPORTED

The function p(w)=230(1.1)^W represents the number of specialty items produced at the old factory w
weeks after a change in management. The graph represents the number of specialty items produced at the
new factory during the same time period.

(a) During Week 0, how many more specialty items were produced at the old factory than at the new
factory? Explain.
(b) Find and compare the growth rates in the weekly number of specialty items produced at each factory.
Show your work.

Answers

Answer:

40; 0.1 and 0.16

Step-by-step explanation:

a. We know that p(w)=230(1.1)^W represents the number of specialty items produced at the old factory.

This equation is in the form of an exponential growth function:

f(x)=a(1+r)^x

where a is the initial value, r is the growth rate, and x is the number of time intervals.

That means that for p(w)=230(1.1)^W:

230 is the initial value, and 0.1 is the growth rate. (1.1-1)

Therefore, for week 0, there were 230 specialty items produced at the old factory.

We can also plug in 0 for w (0 time intervals) to get the same answer

That would look like:

p(0)=230(1.1)^0

p(0)=230(1)

p(0)=230

On the other hand, for the new factory, if you go find 0 on the x-axis, you'll notice that 190 specialty items were produced in week 0.

230-190=40

This means that our answer for a is that 40 more specialty items were produced at the old factory than the new factory.

_____

b. Our first step for this question would be to find the equation for the graph.

We can immediately recognize that this is an exponential growth function, similar to the other equation.

As a reminder, exponential growth functions are in the form: f(x)=a(1+r)^x

We can put it in terms of production and weeks:

p(w)=a(1+r)^w

We know that the initial value is 190 by the graph.

p(w)=190(1+r)^w

Now we just need to find the growth rate:

We can do this by choosing a value (other than the first point) and plugging it in.  Let's use (1, 220) which is in the form (w, p)

Plug it in to the equation:

220=190(1+r)^1

220=190(1+r)

Distribute

220=190+190r

Subtract 190 from both sides

30=190r

Divide 190 from both sides

r=0.1578947368 (round how your teacher asks)

Next, all we have to do is find the growth rate for the old factory:

p(w)=230(1.1)^W

1.1=1+r

Therefore, r=0.1

The growth rate at the old factory is 0.1.

When comparing them, we'll realize that the growth rate at the new factory is about 0.06 higher.

#1

For old factory

p(w)=230(1.1)^w

So

week =0

[tex]\\ \rm\dashrightarrow p(0)=230(1.1)^0=230(1)=230[/tex]

For nEW factory

On graph y intercept is 190

Difference:-

230-190=40

40 items were more produced

#2

For old factory

Turn it to p(1+r)^t form where r is rate of change

[tex]\\ \rm\dashrightarrow 230(1+0.1)^t[/tex]

Growth rate is 0.1

For new factory

(0,190)(1,220)

Find slope:-

[tex]\\ \rm\dashrightarrow m=\dfrac{220-190}{1}=30[/tex]

Find growth rate

m/b(b is y intercept)30/1903/190.16

New factory has greater growth rate

Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer. ( Please Do Not Use Someone Else's Answer That's On Brainly Or Any Other Websites Please If So You'll Be Reported). Very Important. ​

Answers

Answer:

The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.

Step-by-step explanation:

The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.

Given :

Joshua has a ladder that is 12 ft long.

He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground.

For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°.

Check the angle that the ladder makes with the ground:

The ladder is safe when the angle the ladder makes with the ground to be no greater than 75° but  is  so, the ladder won't be safe.

To make the ladder safe, the height should not be 11.8ft.

The height from ground to top of the ladder is < 11.6 ft for safety reasons.

In a small private​ school, 16 students are randomly selected from eighteen available students. What is the probability that they are the four youngest​ students?​

Answers

Answer:

1/72

Step-by-step explanation:

16 * 18 = 288

4/288 = 1/72

Answer: the largest angle has a measure of _____ degrees.

Answers

Answer:

the largest Angle has a measure of 360 degrees

A box has length 3 ft, width 5 ft, and height 2 ft.

What is the volume?
cu ft

Answers

Answer:

30 ft.³

Step-by-step explanation:

3ft. × 5ft. × 2ft. = 30 ft.³

Please rate!! I hope this helps!!

Evaluate the expression 21 ÷ 3 + 8 − 4. 19 17 15 11

Answers

Answer:

Your answer is D, 11

Step-by-step explanation:

PEMDAS, first you divide, 21/3 is 7

7+8 is 15

15 - 4 is 11

Hope this helps! :)

Answer:

[tex]\boxed{\sf{11}}[/tex]

Step-by-step explanation:

Solving this problem requires an order of operations.

PEMDAS stands for:

ParenthesisExponentsMultiplyDivideAddSubtract

21÷3+8-4

First, divide.

[tex]\sf{21\div3+8-4}[/tex]

[tex]\sf{21\div3=7}[/tex]

Then rewrite the problem.

[tex]\sf{7+8-4}[/tex]

Add.

[tex]\sf{7+8=15}[/tex]

Subtract.

[tex]\sf{15-4=\boxed{\sf{11}}[/tex]

11

Therefore, the correct answer is 11.

I hope this helps you! Let me know if my answer is wrong or not.

Is the data Jamaya collected a random sample if the population is books from her entire household? Why or why not? *Remember that Jamaya picked 15 books from her book shelf in her bedroom.

Answers

Using sampling concepts, it is found that it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which has to involve all groups in the population.

In this problem, a random sample should involve the books of all people in the household, not only Jamaya's. Hence, it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.

More can be learned about sampling concepts at https://brainly.com/question/25122507

The demand equation for a manufacturer's product is:
p = 50 x [tex](151 - q)^{0.02\sqrt{q+19} }[/tex]
(a) Find the value of dp/dq when 150 units are demanded.
(b) Using the result in part (a), determine the point elasticity of demand when 150 units are demanded. At this level, is demand elastic, inlastic, or of unit elasticity?
(c) Use the result in part (b) to approximate the price per unit it demand decreases from 150 to 140 units.
(d) If the current demand is 150 units, should the manufacturer increase or decrease price in order to increase revenue?

Answers

From the given price function, we have;

(a) [tex] \frac{dp}{dq} = - 13[/tex]

(b) The point elasticity of demand is 0.0256; inelastic demand

(c) $46.6

(d) Increase

How can the elasticity of demand be found?

a. The given function is presented as follows;

[tex]p = 50 \times (151 - q) ^{0.02 \times \sqrt{q + 19} } [/tex]

Differentiating the above function with a graphing calculator and setting q = 150 gives;

[tex] \frac{dp}{dq} = - 13[/tex]

b. The point elasticity of demand is given by the formula;

[tex] e \: = \frac{dq}{dp} \times \frac{p}{q} [/tex]

When q = 150, we have;

P = 50

Which gives;

[tex]e \: = \frac{1}{13} \times \frac{50}{150} = 0.0256[/tex]

The point elasticity of demand, E = 0.0256

The demand is inelastic (less than 1) when the quantity demanded is 150 units

c. If the quantity demanded decreases from 150 to 140 units, we have;

[tex]0.0256 \: = \frac{1}{13} \times \frac{p}{140} = [/tex]

Which gives;

p = 46.6

The price when the quantity demanded decreases to 140 is $46.6

d. Given that increase in price, from 46.6 to 50, increases the quantity demanded from 140 to 150, therefore;

The manufacturer should increase the price, p to increase the revenue, R.

R = p × q

Learn more about elasticity of demand here;

https://brainly.com/question/19141990

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