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Inessa05 [86]
3 years ago
10

Three integers have a mean of 7, a median of 5 and a range of 14. Find the three integers.

Mathematics
1 answer:
pickupchik [31]3 years ago
5 0

Step-by-step explanation:

2,5 and 7 are the three integers

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In ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45. What is the value of the cosine of ∠X to the nearest hundredth?
kotegsom [21]

The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

Step-by-step explanation:

The given is,

                   In ΔWXY, ∠Y=90°

                        XW = 53

                         YX = 28

                        WY = 45

Step:1

             Ref the attachment,

             Given triangle XWY is right angled triangle.

             Trigonometric ratio's,

                              Cos ∅  = \frac{Adj}{Hyp}    

             For the given attachment, the trigonometric ratio becomes,

                              Cos ∅  = \frac{XY}{XW}.....................................(1)

             Let, ∠X = ∅

             Where, XY = 28

                         XW =  53

             Equation (1) becomes,

                                 Cos ∅  = \frac{28}{53}

                                 Cos ∅ = 0.5283

                                        ∅ = cos^{-1} (0.5283)

                                        ∅ = 58.109°

Result:

          The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

             

4 0
3 years ago
Joe is playing a game with a regular die.  If the number that turns up is   even, he will gain 5 times the number that comes up.
kupik [55]
3 is odd
So by the question he will lose 10 times the number that comes up
3*10=-30
4 0
3 years ago
Simplify the product using the distributive property<br> (7y + 5)(y-2)
neonofarm [45]

Answer:

12y-24

thats what the answer is to your problem

3 0
3 years ago
8. 6r + 5 = 4 6 - 7y -20 ​
Rudiy27

Answer: r=-7/6y+7/2

Step-by-step explanation:

Step 1: Add -5 to both sides.

6r+5+−5=−7y+26+−5

6r=−7y+21

Step 2: Divide both sides by 6.

6r/6=-7y+21/6

3 0
3 years ago
Which angles are obtuse angles in the figure shown?
Elis [28]

Answer: C. ∠FVI and ∠GVE


Step-by-step explanation: We are given a diagram.

In given diagram we can see some angles are as following.

<FVG, <GHV, <HVI, <IVE.

<FVH, <GVI, <HVE

<FVI, <GVE.

We need to find obtuse angles in the above angles.

<em>Note: Obtuse angles are the angles greater than 90° but less than 180°.</em>

From the above list we can see first seven angles are less than 90°.

But last two angles are greater than 90° but less than 180°.

Therefore, correct option is

<h3>C. ∠FVI and ∠GVE</h3>
3 0
3 years ago
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