She needs 1/6 almonds , 1/3 walnuts and 1/2 of raisins as a fraction of total trail mix.
So she spends $2.5 on almonds. $5 on walnuts and $10 on raisins (total $15)
so that is 2.5/12 = 0.208 pounds almonds
5 / 10.5 = 0.476 pound walnuts
10/4 = 2.5 pounds raisins
so total wieght of the trail mix is 3.19 pounds
Answer:
Point A is in the interior of both circles
Step-by-step explanation:
<u><em>Verify each point</em></u>
we know that
Point H is in the interior of greater circle but is outside smaller circle
Point A is the center both circles, then is in the interior of greater circle and is in the interior of smaller circle
Point B is on the smaller circle and is in the interior of greater circle
therefore
Point A is in the interior of both circles
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.
<u>Where </u><u>,</u>
- H refers to <u>Hypotenuse</u>
- P refers to <u>Perpendicular</u>
<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>
In the given triangle ,
- 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 :

Substituting values :

Simplifying it ,

Subtracting 1225 on both sides :

We get ,

Applying square root to both sides :

We get ,

- <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 ,
Substituting value of SE , TS and TE :
- 37² = 35² + <u>1</u><u>2</u><u>²</u>
<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>
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<u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>