R
b) In the given figure, show that triangle PQR is a right angled triangle. ​

Rb) In The Given Figure, Show That Triangle PQR Is A Right Angled Triangle.

Answers

Answer 1

Answer:

Given that triangle RSP is a right triangle, then using the Pythagorean Theorem, RP = 5.  (3²+4²=5²)

Plugging the 5 in to triangle RPQ, we find that the Theorem still works for that one, which means it is a right triangle (5²+12²=13²)

Step-by-step explanation:

Given that triangle RSP is a right triangle, then using the Pythagorean Theorem, RP = 5.  (3²+4²=5²)

Plugging the 5 in to triangle RPQ, we find that the Theorem still works for that one, which means it is a right triangle (5²+12²=13²)

Answer 2

Answer:

see explanation

Step-by-step explanation:

Using Pythagoras' identity in Δ PRS

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, then

PR² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )

PR = [tex]\sqrt{25}[/tex] = 5

Using the converse of Pythagoras in Δ PQR

If the longest side squared is equal to the sum of the squares on the other 2 sides then the triangle is right.

QR² = 13² = 169

PR² + PQ² = 5² + 12² = 25 + 144 = 169

Thus Δ PQR is a right triangle, with right angle at P


Related Questions

The maintenance department at the main campus of a large state university receives daily requests to replace fluorecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 47 and a standard deviation of 7. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 47 and 68

Answers

Answer:

[tex]P(-2<Z<2)=95\%[/tex]

Step-by-step explanation:

From question we are told that

Sample mean [tex]\=x= 47[/tex]

Standard deviation [tex]\sigma =7[/tex]

Generally the  X -Normal is given as

      [tex]Z=\frac{x-\=x}{\sigma}[/tex]

      [tex]Z=\frac{x-47}{9}[/tex]

Analyzing the range

    [tex]P(47<x<65) = P(0< z<2.00)[/tex]

    [tex]P(47<x<65) = 95/2[/tex]

   [tex]P(47<x<65) = 47.5\%[/tex]

Mathematically

[tex]Z_1 =\frac{47-47}{9} =0[/tex]

[tex]Z_2 =\frac{65-47}{9} =2[/tex]

Empirical rule shows that

[tex]P(-2<Z<2)=95\%[/tex]

Using the number line above, select the number that would be the opposite of Point T.

Answers

Answer:

-8

Step-by-step explanation:

i feel its correct

plz help! will give brainliest!!!!

Answers

Answer:

60

Step-by-step explanation:

2.094= hummingbird

176= elephant

176-2.094= 173.906

approximately it will be 60

60 is closer to 173.906 than 600.

Find the value of x, showing all steps. (3 pts.)​

Answers

Answer:

11

Step-by-step explanation:

42 + 39= 81 and you need to get to 180 so the 3rd angle would be 99 so 99 dived by 9 is 11 so x=11

determine whether p^2+14p+49 is a perfect square trinomial. Justify your answer.

Answers

Answer:

(p+,7)2 the number 2 is to be above 7 hope this helps

Use the order of operations to simplify the expression. 5 + 21 ÷ 7 x 2 - 3

Answers

Answer: 8


Step by step explanation:

5+21/7*2-3 - calculate the expression

5+6-3 - calculate the sum or difference

8

What is the solution to the equation x+7/2=5x/3

Answers

your answer is x=21/4

first you subtract 7/2 from both sides to isolate x
then you simplify

hope this helps:)
brainliest?

The solution to the equation is x = 21/4

What is Linear Equation in 1 variable?

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution

Given data ,

The equation is x + 7/2 = 5x/3

Subtracting 7/2 on both sides , we get

x = 5x/3 - 7/2

x = ( 10x - 21 ) / 6

Multiplying 6 on both sides , we get

6x = 10x - 21

Adding 21 on both sides , we get

6x + 21 = 10x

Subtracting 6x on both sides , we get

4x = 21

Divide by 4 on both sides , we get

x = 21/4

Hence , the solution for  x + 7/2 = 5x/3 is x = 21/4

To learn more about linear equation in one variable click :

https://brainly.com/question/10185505

#SPJ2

Which graph shows the points (–3, 5) and (4, –3) plotted correctly? On a coordinate plane, a point is 3 units to the left and 8 units up. Another point is 10 units to the right and 5 units down. On a coordinate plane, a point is 6 units to the left and 4 units up. Another point is 5 units to the right and 3 units down. On a coordinate plane, a point is 6 units to the left and 10 units up. Another point is 8 units to the right and 6 units down. On a coordinate plane, a point is 3 units to the left and 5 units up. Another point is 4units to the right and 3 unitsWhich graph shows the points (–3, 5) and (4, –3) plotted correctly? On a coordinate plane, a point is 3 units to the left and 8 units up. Another point is 10 units to the right and 5 units down. On a coordinate plane, a point is 6 units to the left and 4 units up. Another point is 5 units to the right and 3 units down. On a coordinate plane, a point is 6 units to the left and 10 units up. Another point is 8 units to the right and 6 units down. On a coordinate plane, a point is 3 units to the left and 5 units up. Another point is 4units to the right and 3 units down. down.

Answers

Answer:

On a coordinate plane, a point is 3 units to the left and 5 units up. Another point is 4units to the right and 3 units down

Step-by-step explanation:

The coordinate plane is a plane formed from the intersection of the x axis (horizontal line) and y axis (vertical line). The point of intersection of these axis is known as the origin. A point can be represented on the coordinate plane using the x and y coordinates.

The x axis is to the left and right of the origin, negative points are to the left of the origin while positive points are to the right of the origin. The y axis is to the up and down of the origin, negative points are to the down of the origin while positive points are to the up of the origin.

A point in the coordinate plane is represented as (x, y).

The location of point (-3,5) is 3 units to the left and 5 units up while point (4, -3) is 4units to the right and 3 units down

Alejandro's baseball album holds 3 baseball cards per page. If there are 8 pages in the album, how many baseball cards can it hold? Use the number line to help solve the problem. Write your answer in the post below.

Answers

Answer:

24

Step-by-step explanation:

Given that:

Baseball album holds 3 baseball cards per page

Number of pages in album = 8

3 baseball cards per page

Number of baseball cards album can hold

(Number of baseball cards per page * number of pages in album)

(3 * 8) = 24

Helppppp plsssssss is due at 11:59

Answers

Answer:

x = 18

Step-by-step explanation:

Given that m is parallel to m, therefore:

(7x - 7)° = (6x + 11)° (alternate exterior angles are congruent)

Solve for x

7x - 7 = 6x + 11

7x - 6x = 7 + 11

x = 18

Mrs. Parker misplaced 10% of her brooches in May. She misplaced
another 10% of her brooches in June but managed to find 10% of the
brooches that she misplaced in May. What percentage of her brooches did she have at the end?

Answers

Answer:  She has 90% of her brooches at the end

Step-by-step explanation:

If she lost 10% of her brooches then 90% will be left, and another 10% will make it 80% left bus since she managed to find 10% then 10% plus 80% will be 90%.

Erin wants to equally divide oatmeal bars among 5 friends. If she has 12 bars, how many bars will each friend receive

Answers

Answer:

each friend will receive 2 oatmeal bars and their will be 2 leftover.

Step-by-step explanation:

True or false: Some irrational numbers are also rational numbers

Answers

Answer: False.

Step-by-step explanation: Rational and irrational numbers are the opposites of each other. If a number is rational, it cannot possibly be irrational.

Think about it this way, can a negative number be both negative and positive? No, of course not. This is the exact same concept, albeit using rational and irrational instead of positive and negative. Still, a number can only be one or the other, never both.

To test a theory of fruit flies reaching a carrying capacity, the Laurel Springs Science Club creates an environment that will attract fruit flies to a 2-cup glass jar in which is placed food and a stimulus for the fruit flies to lay eggs. The students track the population growth of the fruit flies and find the following equation to fit the growth: P(t) = 230 / 1 + 5.6 5e ^ -0.37 t

1) Determine the initial population.
2 )What is the population after 5 days?
3)How long does it take for the population to reach 180?
4) How long does it take for the population to reach one-half of the carrying capacity?

Answers

Tell msrkmark me brainlist please.

The answer is yes 4th one 8s your answer.

Step-by-step explanation:

because I like to make sure that people pass

The bar graph in the following graphic represents fictional net exports in billions of dollars for five countries. Net exports are obtained by subtracting total imports from total exports; a negative net export means the country imported more goods than it exported.

Net Exports (Billions of dollars) United States Denmark China Germany Spain -150 -100 150 -50 050 100 Net Exports (Billions of dollars)

What is the difference between the net exports from The United States and Denmark?

a. 70 billion dollars
b. 80 billion dollars
c. 90 billion dollars
d. -140 billion dollars ​

Answers

Answer:

$80 billion

Step-by-step explanation:

From the graph, we have the following:

[tex]United\ States = -110[/tex]

[tex]Denmark = -30[/tex]

[tex]China = 120[/tex]

[tex]Germany = 40[/tex]

[tex]Spain = 30[/tex]

Required

Determine the difference in US and Denmark exports

The difference is calculated as thus:

[tex]Difference = Denmark - United\ States[/tex]

This gives:

[tex]Difference = -30 - (-110)[/tex]

[tex]Difference = -30 +110[/tex]

[tex]Difference = 80[/tex]

Hence, the difference is $80 billion

Answer:

If your question looked like this: China's net exports are represented by a positive integer. Explain what this tells you about imports and exports of China.

A. China's exports exceed imports by 120 billion dollars.

C.

China's total exports are 120 billion dollars.

B.  China's total imports are 120 billion dollars.

D.  China's imports exceed exports by 120 billion dollars.

Step-by-step explanation:

Then your answer is

A. China's exports exceed imports by 120 billion dollars

help please help mesda

Answers

100, 225, 360, and 550

Answer:

25, 25, 22.5, 22

Step-by-step explanation:

It gives you a hint; K = y/x. They give you what x and y are so use that to solve for the last row.

We are given all of these values:

x -> 2, 3, 4, 5

y -> 50, 75, 90, 110

Use the formula given and solve for K.

50/2 = 25

75/3 = 25

90/4 = 22.5

110/5 = 22

Best of Luck!

45587000 in standard form

Answers

Answer:

4.5587

Step-by-step explanation:

this is because standard form of numbers are supposed to be 1 and 9

Answer:

4 .5587 * [tex]10^{7}[/tex]

5.
Complete the table of values for y = -2x + 11.

Please help ❤️

Answers

Answer:

In the explanation

Step-by-step explanation:

x = 0, y = -2*0+11=11

x = 1, y = -2*1+11=9

x = 4, y = -2*4+11=3

Hope this helps!

Grace solved the equation 122=−58 122 = x - 58 . Her work is shown. What error did Grace make?

Answers

Answer:

[tex]122 = x - 58 \\ x = 122 + 58 \\ x = 180 \\ error = 0.5 \times {10}^{ - 3} \\ = 0.0005[/tex]

Answer:

Step-by-step explanation:

Grace should have added 58 to both sides of the equation instead of subtracting.

omg please help. make sure you put the product of A, the product of B, and the sum for C. it’s in the picture

Answers

Answer:

Product for A = 046

Product for B = 0230

Sum for C = 0.0276

Step-by-step explanation:

We need to multiply the terms and find the answers

First we multiply 2 with 0.23, then we multiply 1 with 0.23

   0.23

x    0.12

-------------

     046

   0230

--------------

    .0276

Since there are 2 numbers after decimal in 0.23 and same for 0.12, so we place the decimal so that there are 4 decimal places.

Counting of decimal will start from the units place.

So, Product for A = 046

Product for B = 0230

Sum for C = 0.0276

Is my answer correct?

Answers

Answer:

It's wrong.  The correct answer is -3 1/8x + 6 3/10

Step-by-step explanation:

You don't need to do the first two numbers of each equation but you want to consider the last part of the equation since each of them is different.  Convert 2 1/5 to 2 2/10 to make it easier.  Because you are subtracting two negative numbers, they will actually add so 2 2/10 + 4 1/10 equals 6 3/10 which makes the second option applicable.

A rectangle has an area of 18 square units. What can be said of its height and width? Check all that apply.

A.
The height could be 1 and the width 18.

B.
The height could be 3 and the width 6.

C.
The height could be 6 and the width 3.

D.
The height could be 8 and the width 10.

Answers

Answer: A, B, and C

Step-by-step explanation:

Area = Length x Width

A. With these dimensions, the area would be 18 sq units

1 * 18 = 18

B. With these dimensions, the area would be 18 sq units

3 * 6 = 18

C. With these dimensions, the area would be 18 sq units

6 * 3 = 18

D. With these dimensions, the area would be 80 sq units

8 * 10 = 80

Craig likes to collect video records last year he had 10 records his collection now has 12 records what is the percent increase of his collection

Answers

i believe the answer is a 20% increase because 12-10 equals 2. there is a 2 record difference so 2 out of 10 is 1/5 of the whole, but you have to convert the numbers and 1/5 of the whole of 100 is 20. sorry if that didn’t make much sense

9514 1404 393

Answer:

  20%

Step-by-step explanation:

The percentage change in a value is calculated from ...

  percent change = ((new value) -(old value))/(old value) × 100%

For your given numbers, this is ...

  percent change = (12 -10)/10 × 100% = (2/10)×100% = 20%

Craig's record collection increased by 20%.

Write an equation to represent this word problem.
You do not need to solve.

“2 less than 7 times a number is equal to 4 more than 8 times the number.”

Answers

Answer:

2-7X=4+8X

Step-by-step explanation:

A large bucket holds 5 gallons of water, which is about the same as 19 liters of water.

A small bucket holds 2 gallons of water. About how many liters does it hold?

Gallons of water Liters of Water
5 19
1
2
7.6
plz answer quickly

Answers

Answer:

7.6

Step-by-step explanation:

19/5 = 3.8

So,

3.8 x the amount of gallons = the amount of litres

If we have 2 gallons, then,

3.8 x 2 = 7.6

Answer:

7.6

Step-by-step explanation:

Add it

At time t ≥ 0, the velocity of a body moving along the s-axis is v = t² -5t +4. When is the body moving backwards

Check comments for multiple choice answers

Answers

Answer:

A

Step-by-step explanation:

The velocity of a moving body is given by the equation:

[tex]v=t^2-5t+4 ,\, t\geq0[/tex]

Is the velocity is positive (v>0), then our object will be moving forwards.

And if the velocity is negative (v<0), then our object will be moving backwards.

We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:

[tex]v<0[/tex]

By substitution:

[tex]t^2-5t+4<0[/tex]

Solve. To do so, we can first solve for t and then test values. By factoring:

[tex](t-4)(t-1)=0[/tex]

Zero Product Property:

[tex]t=1, \text{ and } t=4[/tex]

Now, by testing values for t<1, 1<t<4, and t>4, we see that:

[tex]v(0)=4>0,\, v(2)=-2<0,\,\text{ and } v(5)=4>0[/tex]

So, the (only) interval for which v is <0 is the second interval: 1<t<4.

Hence, our answer is A.

What is the magnitude of -5.8

Answers

please friend complete your answer

Let f(x) be a continuous function such that f(1)=2 and f(x)= x^3+6 and What is the value of f(5)?(A) 11.446 (B) 13.446 (C) 15.446 (D) 24.672 (E) 26.672 fx x f5

Answers

Answer:

the value of f(5) is 26.672

Option (E) 26.672 is the correct answer

Step-by-step explanation:

Given that;

f(1) = 2 and f(x) = √( x³ + 6 )

f(5) = ?

f(5) = f(1) + ₁∫⁵ f'(x) dx

we substitute

f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx

f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx

f(5) = 2 + 24.6719

f(5) = 26.672

Therefore the value of f(5) is 26.672

Option (E) 26.672 is the correct answer

The value of f(5) is 26.672

Continuous functions and drivatives

Given the following parameters

f(1) = 2

f(x) = √( x³ + 6 )

We need to calculate the value of f(5) as shown below

f(5) = f(1) + ₁∫⁵ f'(x) dx

Substitute the given parameters

f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx

f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx

f(5) = 2 + 24.6719

f(5) = 26.672

Hence the value of f(5) from the solution is 26.672

Learn more on continuous function here: https://brainly.com/question/18102431

Please help!!!!!!!!! ​

Answers

Answer:

Step-by-step explanation:

The point means that 15 pounds of beans cost 12 dollars.

Type the correct answer in the box. Use numerals instead of words.
Adrian has a bag full of pebbles that all look about the same. He weighs some of the pebbles and finds that their weights are normally distributed, with a mean of 2.6 grams and a standard deviation of 0.4 grams.

What percentage of the pebbles weigh more than 2.1 grams? Round to the nearest whole percent.

Answers

Answer:

89% of pebbles weigh more than 2.1 grams.

Step-by-step explanation:

Given that

Mean = 2.6

SD = 0.4

As we have to find the percentage of pebbles weighing more than 2.1, we have to find the z-score for 2.1 first

[tex]z = \frac{x-mean}{SD}\\z = \frac{2.1-2.6}{0.4}\\z = -1.25[/tex]

Now we have to use the z-score table to find the percentage of pebbles weighing less than 2.1

So,

[tex]P(x<-1.25) = 0.10565[/tex]

This gives us the probability of P(z<-1.25) or P(x<2.1)

To find the probability of pebbles weighing more than 2.1

[tex]P(x>2.1) = 1 - P(x<2.1) = 1 - 0.10565 = 0.89435[/tex]

Converting into percentage

[tex]0.89435*100 = 89.435\%[/tex]

Rounding off to nearest percent

89%

Hence,

89% of pebbles weigh more than 2.1 grams.

Answer:

89%

Step-by-step explanation:

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