the question is
on the image. ​

The Question Is On The Image.

Answers

Answer 1

Answer:

PR = 7.99 cm (2 dp)

Step-by-step explanation:

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

From inspection of the triangle:

a = PRb = PQ = 12.1 cmc = RQ = 14.5 cm

Substituting the given values into the formula;:

⇒ a² + b² = c²

⇒ PR² + 12.1² = 14.5²

⇒ PR² + 146.41 = 210.25

⇒ PR² = 210.25 - 146.41

⇒ PR² = 63.84

⇒ PR = ±√(63.84)

⇒ PR = ±7.99 (2 dp)

As distance is positive, PR = 7.99 cm (2 dp) only


Related Questions

the height of a triangle is 4 meters less than the base. if the area of the triangle is 6 m^2 what is the height of the triangle. pls help. solve using applications of quadratics

Answers

Answer:

[tex]2m[/tex]

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

[tex]A = \frac{1}{2}bh[/tex]

They give us the area as [tex]6m^2[/tex], so let's include it in the equation.

[tex]6 = \frac{1}{2}bh[/tex]

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that [tex]h = b-4[/tex]

So replace [tex]h[/tex] in the equation with [tex]b-4[/tex].

You will now get:

[tex]6 = \frac{1}{2}b(b-4)[/tex]

Now we can work towards solving. Let's get simplifying.

[tex]12 = b(b-4)\\12 = b^2 - 4b\\[/tex]

bring everything to one side so we can make a quadratic and factor:

[tex]0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2[/tex]

We get that [tex]b=6[/tex].

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that [tex]h = b - 4[/tex], so to find h, we just sub in our b value into that.

[tex]h = (6) - 4 = 2[/tex]

We find that [tex]h=2[/tex]

A small bag of chips contains 0.3 of a cup of sugar. if a large bag of chips is the same as 6.4 small bags, how much sugar does a large bag contain?

Answers

1.92 it should be you just gotta use multiplication

solve systems by substitutions
y=x + 10
y= -6x-18

Answers

x + 10 = - 6x - 18

7x = - 28

x = - 4

and y = - 4 + 10 = - 6

40 students go to a sport centre in buses. a bus can hold 14 students. find the number of buses needed​

Answers

Answer:

The answer is 3 buses

Step-by-step explanation:

40 divided by 14 is 2.85714285714 buses well you cant have 3/4 of a bus so you round it up to 3 buses

Mrs.smith has 5 times many markers as colored pencils. The total number of markers and colored pencils is 54. How many markers does Mrs.smith have

Answers

Answer:

270 Markers

Step-by-step explanation:

5 x 54 = 270

(sorry if I'm wrong)

Change 7 kilometres to metres ?​

Answers

Multiply by 1000
7 km = 7000m

Please someone help I will give brainliest

Answers

Answer: 42.0

Step-by-step explanation:

Write two different expressions that
represent the quantity x decreased
by 30%.

Answers

Answer:

Step-by-step explanation:

x - 30 = 14 - 3x

    4x = 44

      x = 11

Let's call the unknown number x

Now let's decrease it by 30, that is x-30

Now let's write out "14 decreased by three times the number", that is 14 - 3x

The problem says these are the same, that is x - 30 = 14 - 3x

We now want to isolate, or solve for, x

Move the x to one side of the equation by adding 3x to both sides

3x + x -30 = 14 - 3x + 3x

4x -30 = 14

Now move the 30 to the right hand side by adding 30 to both sides

4x - 30 + 30 = 14 + 30

4x = 44

Now all we have to do to get x is divide both sides by 4

4x/4 = 44/4

x = 11

help please this assignment is due in a few minutes

Answers

200 miles. If their traveling 400 miles per hour. 30 minutes is half so u cut the miles in half

Answer:

C. 200 hours

Step-by-step explanation:

According to the given Question ,

Speed of Aeroplane is 400miles/hour

It means that the aeroplane covers 400 miles in 60 minutes.

and it is asked for 30 minutes , so

We know that 30 minutes is equal to 0.5 hours

By the formula ,

Distance = Speed × Time

putting the values given , we get

= 400×0.5

Distance = 200 miles

The middle school will lose some of its funding if 50 or more students move away in any year. The principal claims he only loses about 30 students a year. Do the values in the table support his claim? Explain.​

Answers

There isn’t a table but I’ll try. No because only 30 moved away but to answer I need the table.

Nezzie invests in 300 shares of stock in the fund shown below. name of fund nav offer price lkit mid-cap $16.58 $16.99 nezzie plans to sell all of her shares when she can profit $5,000. what must the net asset value be in order for nezzie to sell? a. $16.67 b. $33.25 c. $33.57 d. $33.66

Answers

The value of net asset to be in order for Nezzie to sell all of her shares when she can profit $5,000 is $33.66.

How to find the net asset value?

The net asset value is the difference of total asset value of the company to the total liabilities value of that company.

Nezzie invests in 300 shares of stock in the fund shown below. Name of fund nav offer price lkit mid-cap $16.58 $16.99.

Nezzie plans to sell all of her 300 shares of stock when she can profit $5,000.

To find the net asset for this case, divide the profit with the number of shares and the higher price in that.

[tex]\rm Net Asset=\dfrac{5000}{300}+16.99\\\rm Net Asset=33.66\\[/tex]

Thus, the value of net asset to be in order for Nezzie to sell all of her shares when she can profit $5,000 is $33.66.

Learn more about the net asset value here;

https://brainly.com/question/25646730

A village loses 20% of their goats to the flood and 5% die from diseases. There are 8084 goats left, how many goats were their originally.

Answers

Answer:

10779

i think some error in this question

A dilation with a scale factor of 2 is applied to the three line segments shown. The resulting images are P'Q' A'B' and M'N' 2 cm 1.5 cm M 3 cm N B What are the lengths of the images? Drag the answer into the box to match each segment. Ρ'Ο AB 1 M'N' ໃ & 0.75 cm 1 cm 1.5 cm 3 cm 4 cm 6 cm







need to do this QUICK!​

Answers

The value of the dilated line segments P'Q', A'B' and M'N' are 4 cm. 3 cm and 6 cm

What is dilation?

Dilation is the increase or decrease in the size of an figure or object.

A dilation with a scale factor of 2 is applied to the three line segments shown to form P'Q', A'B', and M'N'.

Hence:

P'Q' = scale factor * PQ = 2 * 2 = 4 cm

A'B' = 2 * 1.5 = 3 cm

M'N' = 2 * MN = 2 * 3 = 6 cm

The value of the dilated line segments P'Q', A'B' and M'N' are 4 cm. 3 cm and 6 cm

Find out more on dilation at: https://brainly.com/question/10253650

3/20 as a percentage?

Answers

Answer:

The answer in percentages is 15%

I need help on this question

Answers

Answer:

0.007 kg

Step-by-step explanation:

[tex]1000\ grams=1\ kg\\ 7\ grams=0.007\ kg\\ Check\ conversion[/tex]

I hope this helps you

:)

Jamal would like to purchase a pair of shoes for $80.00. At the store he can spin the spinner below to receive a discount

Answers

John paid $75 for a pair of shoe that cost $100 at a discount of 25 percent.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let us assume that the shoe cost $100, he spins the spinner and gets a discount of 25%, hence:

Money paid = 100 - 25% of 100

Money paid = 100 - 25 = $75

John paid $75 for a pair of shoe that cost $100 at a discount of 25 percent.

Find out more on equation at: https://brainly.com/question/2972832

write an expresstion that is equivalent to 1/3x+3/4+2/3x-1/4-2/3x

Answers

Answer:

1/3x+1/2

Step-by-step explanation:

1) Find the slope of the line

2) Find the slope between the two points.

help please, thank you

Answers

Answer:

Slope formula;

y2(second y coordinate) - y1(first y coordinate)

____________________________________

x2(second x coordinate) - x1(first x coordinate)

Plug in values:

  2 - 1                 1

_______ = ________, your slope is -1/14.

-17 - (-3)            -14

Find the mean of the following data set: 20, 22, 24, 25, 29, 30, 32, 36​

Answers

27.25 because you add up all of the numbers than divide them by the number of numbers which is 8

Answer:

27.25

Step-by-step explanation:

we find the mean by adding all the values and dividing by the number of values.

find the value of x round to the nearest 10th

I will give brainliest

Answers

Answer:

10.9

Step-by-step explanation:

[tex]According\ to\ the\ question,\ we\ con\ spe\ that[/tex]

             [tex]\sin{40}[/tex]° [tex]=\frac{7}{x}[/tex]

                  [tex]x=\frac{7}{\sin{40degrees}}\\ x\approx 10.9[/tex]

I hope this helps you

:)

Find the value of X
4.5
8.9
6.5
X
13
b
11
can someone answer

Answers

11, add six and a half to four and a half.

4 2/4 + 1/9 =
what is the answer i need to know now

Answers

Answer:

4.61

Step-by-step explanation:

Step-by-step explanation:

[tex] = 4 \frac{2}{4} + \frac{1}{9} \\ = \frac{4 \times 4 + 2}{4} + \frac{1}{9} \\ = \frac{18}{4} + \frac{1}{9} [/tex]

Find the LCM

[tex] = \frac{18}{4} \times \frac{9}{9} + \frac{1}{9} \times \frac{4}{4} \\ = \frac{162}{36} + \frac{4}{36} \\ = \frac{166}{36} [/tex]

Convert into lowest term

[tex] \frac{83}{16} \\ [/tex]

What is the measure of arc c e d? 106° 108° 148° 212°.

Answers

Answer:

Can you please give us figure of following ?

Answer:

its the last one 212°

212°

212°

212°

212°

212°

Step-by-step explanation:

212°

Which point is not on the graph of the function y = x + 2?



(3, 5)
(6, 8)
(7, 9)
(2, 0)

Answers

Answer:

(2,0) is not a point on the graph of the function y=x+2

Step-by-step explanation:

Go to the TI-84 plus calculator and go to the y= button and then type in x+2 and then press the 2nd button and then the graph button and then you should get your answer.

Select the two values of x that are roots of this equation.​

Answers

Answer:

C and D :)

Step-by-step explanation:

Answer:

c and d

Step-by-step explanation:

hello, anyhelp? if anybody likes they can answer, show work

Answers

The smallest number you’ll have to break the line into to put both fractions on the number line is 40.

This is because to answer this, you need to find the common denominator. This means that only then can they be put on the same line.
The smallest number you'll have to break the
line into to put both fractions on the number
line is 40.
This is because to answer this, you need to
find the common denominator. This means
that only then can they be put on the same
line.
THANKS!

Create a tree diagram to show the different options for the lunch options: Salad Sandwich Soup Tortellini Roast Beef Caesar Macaroni Ham Lentil Turkey​

Answers

Answer:

is there a picture of the answers?

Step-by-step explanation:

also can u help me with my question pls

Which graph matches the equation y+5 = (x + 4)?

Please hurry

Answers

Answer:

Sorry i don’t know the answer

Step-by-step explanation

I don’t know

Hi ..
I really need help on this one

Answers

Answer:

LCM of 3 and 2 is 6

so, firstly we had to make the denominator same:-

[tex] \frac{2(2a + 1) + 3(3a - 1)} {6} [/tex]

[tex] \frac{4a + 2 + 9a - 3}{6} [/tex]

[tex] \frac{13a - 1}{6} [/tex]

Step-by-step explanation:

hope this helps you!!!

XxITSCHOCOLOVERxX

The simplified equation of [tex]\frac{2a+1}{3}+\frac{3a-1}{2}[/tex] is [tex]\frac{13a-1}{6}[/tex]

How to simplify an equation?

[tex]\frac{2a+1}{3}+\frac{3a-1}{2}[/tex]

[tex]\frac{2a+1}{3}+\frac{3a-1}{2} = \frac{2(2a+1)+3(3a-1)}{6}[/tex]

open the bracket in the numerator

Therefore,

[tex]\frac{2(2a+1)+3(3a-1)}{6}=\frac{4a+2 + 9a-3}{6}[/tex]

combine like terms in the numerator

[tex]\frac{4a+2 + 9a-3}{6}=\frac{4a+9a+2-3}{6}[/tex]

Hence,

[tex]\frac{4a+9a+2-3}{6}=\frac{13a-1}{6}[/tex]

Therefore, the final equation is as follows

[tex]\frac{2a+1}{3}+\frac{3a-1}{2}=\frac{13a-1}{6}[/tex]

learn more on equation here: https://brainly.com/question/24346515

#SPJ5

If two coins are flipped, what is the probability both of the coins will land on tails?

Answers

The probability of getting exact two tails is 1/4
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