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2 years ago

6

Bonita brought 3 bags of apples and 2 pounds of grapes to the picnic. Each bag of apples weighed 4 pounds. How many pounds of ap

ples and grapes did Bonita bring to the picnic?

1 answer:

N76 [4]2 years ago

7 0

You multiply 4 by 3 to get 12lbs then add that to 2lbs of grapes, so in total she brought 14lbs of grapes and apples.

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2 years ago

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frosja888 [35]

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2 years ago

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If a photo measuring 4 inches by 6 inches is placed in a photo frame that is 2 inches wide all around, what percent of the frame

BARSIC [14]

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3 years ago

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A prepaid phone card has a balance of $22.40 remaining. If calls are $0.035 per minute, which equation represents the number of

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5 0

2 years ago

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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