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ale4655 [162]
2 years ago
12

Rays QR and QS are tangents to circle P at R and S. If Q measures to 54°, find RS

Mathematics
1 answer:
Ainat [17]2 years ago
8 0

Answer: 126^{\circ}

Step-by-step explanation:

If we draw RP and PS, then in the quadrilateral formed, we know that \angle PRQ=\angle PSQ=90^{\circ}, and since angles in a quadrilateral add to 360 degrees, this means \angle SPR=126^{\circ}.

Thus, arc RS also measures 126 degrees

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Clare spent $5.17 on apples. How many pounds of apples did Clare buy?
ZanzabumX [31]

Answer: complete the question please

Step-by-step explanation:

How much is a pound/lb? Then do 5.17 divided by (however much is a pound/lb)

6 0
3 years ago
A recent study suggested that 81% of senior citizens take at least one prescription medication. Amelia is a nurse at a large hos
Lady_Fox [76]

Null hypothesis: p = 0.81

Alternative hypothesis: p \ne 0.81

The null is based on a recent study that 81% of the population (in this case senior citizens) takes at least one medication. The alternative hypothesis is basically the flip of the claim made in the null.

If Amelia wanted to know if the percentage was less than 81%, then the alternative would be p < 0.81

If Amelia wanted to know if the percentage was larger than 81%, then the alternative would be p > 0.81

However, she wants to know if the percentage is 81%.

5 0
3 years ago
Determine the slope from the following order pairs:<br> (0,3) (3,-1)
liq [111]
Use slope formula
y^2-y^1/x^2-x^1

the answer is -4/3
3 0
3 years ago
Two cables support a 800​-lb ​weight, as shown. Find the tension in each cable.
jeka94

Answer:

  • 892 lb (right)
  • 653 lb (left)

Step-by-step explanation:

The weight is in equilibrium, so the net force on it is zero. If R and L represent the tensions in the Right and Left cables, respectively ...

  Rcos(45°) +Lcos(75°) = 800

  Rsin(45°) -Lsin(75°) = 0

Solving these equations by Cramer's Rule, we get ...

  R = 800sin(75°)/(cos(75°)sin(45°) +cos(45°)sin(75°))

     = 800sin(75°)/sin(120°) ≈ 892 . . . pounds

  L = 800sin(45°)/sin(120°) ≈ 653 . . . pounds

The tension in the right cable is about 892 pounds; about 653 pounds in the left cable.

_____

This suggests a really simple generic solution. For angle α on the right and β on the left and weight w, the tensions (right, left) are ...

  (right, left) = w/sin(α+β)×(sin(β), sin(α))

5 0
3 years ago
At a grocery store 4.5 pounds of meat cost $14.67. What is the cost of the meat per pound?
Elan Coil [88]

Answer:

$3.26

Step-by-step explanation:

If 4.5 pounds cost $14.67

You divide 14.67 by 4.5 which gives you 3.26

8 0
3 years ago
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