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mr Goodwill [35]

3 years ago

9

What fraction of a pound is seventy pence?

1 answer:

yulyashka [42]3 years ago

8 0

One British Pound is made up of 100 Pence. Therefore, 70 pence is 70/100 or 7/10. The British Pound is the national currency of the United Kingdom and is a major currency traded in foreign exchange markets around the world.

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10 points, doing this one again because I got a wrong answer last time but regardless thank you for trying to help

Alik [6]

Hey ! there

Answer:

Value of missing side i.e. TE is <u>1</u><u>2</u><u> </u><u>feet</u>

Step-by-step explanation:

In this question we are provided with a <u>right</u><u> </u><u>angle </u><u>triangle</u> having <u>TS </u><u>-</u><u> </u><u>35</u><u> </u><u>ft </u><u>and</u><u> </u><u>SE </u><u>-</u><u> </u><u>37</u><u> </u><u>ft </u>. And we are asked to find the missing side that is <u>TE </u>using Pythagorean Theorem .

<u>Pythagorean Theorem :</u> -

According to Pythagorean Theorem sum of squares of perpendicular and base is equal to square of hypotenuse in a right angle triangle i.e.

H² = P² + B²

<u>Where </u><u>,</u>

H refers to <u>Hypotenuse</u>

P refers to <u>Perpendicular</u>

B refers to <u>Base</u>

<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>

In the given triangle ,

Base = <u>TE </u>

Perpendicular = <u>TS </u><u>(</u><u> </u><u>35</u><u> </u><u>feet </u><u>)</u>

Hypotenuse = <u>SE </u><u>(</u><u> </u><u>37</u><u> </u><u>feet </u><u>)</u>

Now applying Pythagorean Theorem :

$\quad \longmapsto \qquad \:SE {}^{2} = TS {}^{2} + TE {}^{2}$

Substituting values :

$\quad \longmapsto \qquad \:37 {}^{2} = 35 {}^{2} + TE {}^{2}$

Simplifying it ,

$\quad \longmapsto \qquad \:1369 = 1225 + TE {}^{2}$

Subtracting 1225 on both sides :

$\quad \longmapsto \qquad \:1369 - 1225 = \cancel{1225} + TE {}^{2} - \cancel{1225}$

We get ,

$\quad \longmapsto \qquad \:144 = TE {}^{2}$

Applying square root to both sides :

$\quad \longmapsto \qquad \ \sqrt{ 144} = \sqrt{TE {}^{2}}$

We get ,

$\quad \longmapsto \qquad \: \red{\underline{\boxed{\frak{TE = 12 \: feet}}}} \quad \bigstar$

<u>Henceforth</u><u> </u><u>,</u><u> </u><u>value </u><u>of </u><u>missing </u><u>side </u><u>is </u><em><u>1</u></em><em><u>2</u></em><em><u> </u></em><em><u>feet </u></em><em><u>.</u></em>

<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>

Now we are verifying our answer using Pythagorean Theorem . We know that according to Pythagorean Theorem ,

SE² = TS² + TE²

Substituting value of SE , TS and TE :

37² = 35² + <u>1</u><u>2</u><u>²</u>

1369 = 1225 + 144

1369 = 1369

L.H.S = R.H.S

Hence , Verified .

<u>Therefore</u><u> </u><u>,</u><u> </u><u>our</u><u> answer</u><u> is</u><u> correct</u><u> </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>

6 0

2 years ago

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Please help me I need help

Luba_88 [7]

Answer:

$|28 - x| = 0 \\ 28 - x = 0 \\ - x = - 28 \\ x = 28$

3 0

3 years ago

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12,548 rounded to the nearest thousand and 4,685 rounded to the nearest thousand

ehidna [41]

Answer:

12,548 rounded to the nearest thousand is 13,000 and 4,685 rounded to the nearest thousand is 5,000

Step-by-step explanation:

4 0

3 years ago

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An angle measures 64 degrees more than the measure of its complementary angle. What is the measure of each angle?

fiasKO [112]

Answer:

13 and 77 degrees

Step-by-step explanation:

Complementary = 90 degrees

Set an angle to x

x+(x+64)=90

2x+64=90

2x=26

x=13

angle measures: 13, 77 degrees

7 0

3 years ago

Find all possible values of the digits Y, E, A, R if YYYY - EEE + AA - R = 1234, and different letters represent different digit

schepotkina [342]

Answer:

Y: 2

E: 9

A: 1

R: 0

Step-by-step explanation:

If we used the value Y = 2, E = 9 , A = 1 and R = 0

in the given equation i.e

$YYYY - EEE + AA - R = 1234$ .

From LHS,

Putting the value of Y,E, A and R in the given question we get

$2222-999+11-0\\=\ 1223\ + 11\\=\ 1234$

=RHS

$Therefore\ the\ value\ of \ Y, E, A, R\ is\ 2\ , \ 9 , \ 1\ and\ 0$

7 0

3 years ago