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Dominik [7]
3 years ago
5

Kay and Allen sell cell phones. Kay sold 17 more cell phones than Allen. Together they sold 117. How many did they sell individu

ally. Show the equation
Mathematics
1 answer:
denis-greek [22]3 years ago
5 0

Answer:

Kay sold 67 cell phones and Allen sold 50 cell phones.

Step-by-step explanation:

Let k = # cell phones Kay sold and a = # cell phones Allen sold.

k + a = 117

k = 17 + a

So:

(17 + a) + a = 117

2a = 100

a = 50

Plug this back into 2nd equation:

k = 17 + a

k = 17 + 50

k = 67

Kay sold 67 cell phones and Allen sold 50 cell phones.

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A kite is stuck in a 36-ft tree. If the angle of elevation from the kite and the ground is 12, find the length of the kite.
yanalaym [24]

Answer:

173.15 ft.  

Step-by-step explanation:

Please find the attachment.

Let L be the length of kite.  

We have been given that a kite is stuck in  36-ft tree. The angle of elevation from the kite and the ground is 12.

We can see from our attachment that kite and tree form a right triangle. height of tree is opposite of angle of elevation and length of kite is hypotenuse.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use sine to find the length of kite.

sin(12)=\frac{36}{L}    

L=\frac{36}{sin(12)}

L=\frac{36}{0.207911690818}  

L=173.1504364105882792\approx 173.15

Therefore, the length of kite is 173.15 ft.

4 0
3 years ago
The table shows values for functions f(x) and g(x) .
sladkih [1.3K]
The first thing we must do for this case is to equal both functions and clear the value of x. Thus, we obtain the values that satisfy both equations.
 However, there is another solution route. We have a table with the values.
 The solution for f (x) = g (x) will be all x satisfying both equations simultaneously.
 f (0) = g (0) = 1
 f (1) = g (1) = 1/2
 answer
 x = 0
 x = 1
 Note:
 F (0) in the table is incorrect if the function is
 f (x) = 0.5x
 F (0) in the table is correct if the function is
 f (x) = 0.5 ^ x
5 0
3 years ago
I'm sure this is it I got it right on mine
kolezko [41]

Answer: what are you talking about????????

Step-by-step explanation:

6 0
3 years ago
Twelve cows produce 224,988 pounds of milk. Find the unit rate in pounds per cow.
12345 [234]
Well, if 224,988 pounds of milk is produced by 12 cows, if i divide 224,988 by 12 i get the pounds per 1 cow. Consider it set up in this ratio.

224,988pounds/12 cows = xpounds/1 cow

Then you would solve for x.

Helpful? =)
3 0
3 years ago
Determine the shortest segment in △ PQS and △ QRS. Remember that a segment is named by its endpoints (two letters).
irinina [24]

Answer: QS and QR are the shortest segment of the triangle ΔPQS, and ΔSQR respectively.

Step-by-step explanation:

Since we have given that

ΔPQS, and ΔSQR,

Consider, ΔPQS,

As we know that " the length opposite to the largest angle is the shortest segment."

So, According to the above statement.

\angle QPS=63\textdegree\\\\\text{So, QS is the shortest segment of this triangle}

Similarly,

Consider, ΔSQR,

Again applying the above statement, we get that,

\angle QSR=75\textdegree\\\\\text{ So, QR is the shortest segment of this triangle}

Hence, QS and QR are the shortest segment of the triangle ΔPQS, and ΔSQR respectively.



8 0
3 years ago
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