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3 years ago

AB and AD are tangent to circle C. Find the length of AB. A. 39 B. 16 C. 3 D. 13

Mathematics

1 answer:

MrMuchimi3 years ago

7 0

Answer:

B. 16

Step-by-step explanation:

Since AB and AD are tangent to circle C, they equal each other.

2x + 7 = 3x - 9 Make them equal each other

2x + 7 = 3x - 9 Subtract 2x from both sides

7 = x - 9 Add 9 to both sides

16 = x

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3 years ago

Which value could be substituted for x in order to make the inequality true? 8 < x < 8.5

stealth61 [152]

Answer:

8 < 8.2 <8.5

Step-by-step explanation:

Pick a number that is greater than 8 but less than 8.5.

Ex: 8.1, 8.2, 8.3, 8.4

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2 years ago

Working alone, Ryan can dig a 10 ft by 10 ft hole in 5 hours Castel can dig the same hole in 6 hours how long would it take them

Fed [463]

Answer:

The time taken by both boys to complete work = 2.73 hours

Step-by-step explanation:

Time taken by rayan to dig hole $T_{1}$ = 5 hours

Time taken by castel to dig hole $T_{2}$ = 6 hours

Now the time taken by both persons working together

$T = \frac{T_{1} T_{2} }{T_{1} + T_{2}}$

Put all the values in above formula we get

$T = \frac{ 30 }{6 + 5}$

$T = \frac{30}{11}$

T = 2.73 hours

Therefore the time taken by both boys to complete work = 2.73 hours

6 0

3 years ago

Which expression models this phrase? 27 decreased by the difference of a number and 3?

vagabundo [1.1K]

Decreased by: ___ -
difference: (___ - ___)
27 - (x - 3) is an accurate model of this situation.

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3 years ago

You make a time capsule with your friends. Find the surface area of the shape pictured. Use 3.14 to approximate pi.

Orlov [11]

Answer: $1,475.8mm^{2}$

Step-by-step explanation:

1. If you join the top part and the bottom part of the figure, you obtain a sphere. Then, you must apply the formula for calculate the surface area of a sphere:

$SA_s=4r^{2}(3.14)$

Where r is the radius ( $r=\frac{10mm}{2}=5mm$ )

2. Then:

$SA_s=4(5mm)^{2}(3.14)=314mm^{2}$

3. The formula for calculate the suface area of the red part, which is a cylinder, is:

$SA_c=2(3.14)(r)(h)$

Where h is the height (h=32mm)

4. Then:

$SA_c=2(3.14)(5mm)(32mm)=1,004.8mm^{2}$

5. So, the total surface area is:

$SA_t=314mm^{2}+1,004.8mm^{2}=1,318.8mm^{2}$

6 0

3 years ago