Identify the correct phrase to complete the statement.
A central angle has a measure of 1 radian if the length of the intercepted arc is ___.
A. 6.28 units
B. the same as the length of the diameter
C. the same as the length of the radius
D. pi/4 units

Answer: It is a rectangle.

Step-by-step explanation: 2 rectangles of different sizes are being in top of each other.

Answer:

14 cm

The correct answer is B

Answer:

[tex]m\angle ADB=58^{\circ}[/tex]

Step-by-step explanation:

For an angle with a point on the circle, the measure of that angle is equal to half the measure of the arc it forms. Since angle ADB forms an arc AB that measures [tex]116^{\circ}[/tex], the measure of angle ADB equals [tex]\frac{116}{2}=\boxed{58^{\circ}}[/tex]

Step-by-step explanation:

ADB=116/2(inscribed angle is half of it's arc)

Answer:

the surface area of the square is "378"

Step-by-step explanation:

2×(9×9 + 9×6 + 9×6) = 378

Answer:

3^3 = 27

27 * 3.14 = 84.78

84.78 * 4/3 = 113.04 is your answer.

Formula of volume of sphere is:

4/3 x π(3.14 or 22/7 whatever they tell you to use for pi) x r^3(your radius being cubed)

You get your radius by finding out what is half of your diameter or your given radius.

Answer:

3:42

Step-by-step explanation:

Step-by-step explanation:

Answer:

y^13/12 or y^1 1/12

Step-by-step explanation:

Convert the fractions to compatible bases. In this case, you can multiply the 3/4 by 3 making it 9/12, and multiply the 1/3 by 4 making it 4/12. If you add these now compatible fractions, you get 13/12. The base remains the same, I hope this helps!

Answer:

45cm2

Step-by-step explanation:

10x7(base x height)=70

70/2=45

Answer:

17/52 (Answer B)

Step-by-step explanation:

There are four queens and 13 hearts.  The probability of drawing a Queen is thus 4/52 (= 1/13); that of drawing a Heart is 13/52 (= 1/4).  

The probability of drawing either is 1/13 + 1/4, or 4/52 + 13/52, or 17/52 (Answer B)

Step-by-step explanation:

5b²+39b=8

<=> 5b²+39b-8=0

(5b-1)(b+8)=0

b = ¹/5 or b = -8

b=-8 and b=1/5.

Answer:

Solution given:

5b²+39b=8

5b²+39b-8=0

try to do middle term factorization.

it needs 40 while multiplication and 39 when subtraction.

it is 40-1 and 40*1

now

doing middle term factorization

5b²+(40-1)b-8=0

5b²+40-b-8=0

take common from each 2 term

5b(b+8)-1(b+8)=0

again take common and keep remaining in another brackets

(b+8)(5b-1)=0

either

b=-8

or

b=1/5

Answer:

It would be A. 4.47

Answer:

y = -1x -5

Step-by-step explanation:

y2 - y1 / x2 - x1

-9 - (-5) / 4 - 0

-4 / 4

-1

y = -1x + b

-5 = -1(0) + b

-5 = 0 + b

b = -5

y = -1x -5

Those inside the parentheses. Rember pemdas or Parentheses Exponets Multiple Divide Add Subtract in that order from left to right

Answer:

a). 2    b). -6

Step-by-step explanation:

4+x

4 + (-2)

= 2

3x

= 3(-2)

= - 6

Answer:

Exact Form: [tex]-\frac{1}{3}[/tex]

Decimal Form: -0.333...

Answer:

9a) 6 1/5

b) 6 4/7

c) 1 1/0

d) 4 1/8

e) 1 1/3

f) 3 1/6

10a) 15 years old

b) 14 1/6 years old

11) 8/3 = 2 2/3

7/5 = 1 2/5

2 2/3 + 1 2/5 = 4 1/15

12a) They ate 3 11/12 pizzas

b) They ate 1 1/3 more cheese pizzas than veg

Answer:

186,624 I think

Step-by-step explanation:

4*3=12

12*4=48

48*9=432

[tex]432^{2}[/tex]= 186,624!

Answer:

9 cm

Step-by-step explanation:

Arc length = θ/360 × 2πr

A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle

Hence,

3π = 120/360 × 2πr

Diameter = 2r

3π = 1/3 × 2πr

Cross Multiply

9π = 2πr

2r = 9π/π

Note that :

Diameter = 2r

Hence,

Diameter = 9 cm

Answer:

Step-by-step explanation:

Answer:

Because the airline allows each suitcase to hold up to 50 pounds, and it doesn't force them to hold exactly 50 pounds

Answer:

Step-by-step explanation:

b/c she doesn't have to have exactly 50 pounds,  she can have any were from 0 to 50 pounds  in each suit case.   They are not going to charge her more, if she only brings 49 pounds :DDDD  It's the same charge up to and including 50 pounds.  If she brings 51 pounds then maybe she would get charged more :P    But not for 50 pounds or less .  :)  Make sense?

Answer:

3f-7

Step-by-step explanation:

Answer:[tex]376.80\ mm^3[/tex]

Step-by-step explanation:

Given

The height of the cone is [tex]h=10\ mm[/tex]

The radius of the cone is [tex]r=6\ mm[/tex]

Volume of cone is given by

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow V=\dfrac{1}{3}\times 3.14\times 6^2\times 10\\\\\Rightarrow V=376.80\ mm^3[/tex]

Thus, the volume of the cone is [tex]376.80\ mm^3[/tex]

Answer:

Q4) 23

Q5) 18

Q6) 15

Step-by-step explanation:

Q6) In the given Stem and Leaf Plot, we have, the average weights as follows;

0.1, 0.1, 0.1, 0.2, 0.2, 0.3, 0.4, 0.4, 0.5, 1, 1, 1.2, 1.3, 1.7, 2.2

By counting the number of data given above, n = 15

Q5) The given data in the stem and leaf diagram are;

7, 9, 14, 15, 16, 18, 18, 21, 23, 30

The median of the 10 data points is the (10 + 1)/2 or the 5.5th data point

The fifth data point = 18

The sixth dat point = 18,

Therefore, the median, which is the 5.5th data point = 18 + (18 - 18)/2 = 18

The median = 18

Q4) The given data points are;

7, 9, 14, 15, 16, 18, 18, 21, 23, 30

The range = The largest data point value - The least data point value

Therefore;

The range = 30 - 7 = 23

The range = 23

Answer:

Step-by-step explanation:

no of days                                                   no of men

30                                                                         20

24                                                                             20

30/24=x/20

24 x=30*20

24x=600

x=600/24

x=25

therefore  5 more men are needed to complete the work in 24 days                

Answer:

6 3/8 pounds (also 6.375 pounds)

Step-by-step explanation:

2 2/3 + 1 5/6 + 1 7/8 = x

8/3 + 11/6 + 15/8 = x

(multiply each fraction by to create the denominator 24)

8/3 x 8/8 = 64/24

11/6 x 4/4 = 44/24

15/8 x 3/3 = 45/24

64/24 + 44/24 = 108/24

108/24 + 45/24 = 153/24

153/24 = 6.375 = 6 3/8

Answer: true

Step-by-step explanation:

Answer:

Multiplication of fractions do not require the same denominator, or the bottom number of the fraction, like addition and subtraction does. Instead, you would simply multiply the denominators and the top numerators.

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Work Shown:

cos(angle) = adjacent/hypotenuse

cos(B) = BC/AB

cos(B) = 5/13