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ale4655 [162]
3 years ago
6

S denotes the length of the arc of a circle of radius r subtended by the central angle theta. Find the missing quantity. Thetaeq

ualsone fourth ​radian, sequals3 ​feet, requals​?
Mathematics
1 answer:
serious [3.7K]3 years ago
6 0

The appropriate relation is ...

... s = rθ

Filling in the given information, you get ...

... 3 ft = r·(1/4)

Multiply by 4 and you find r:

... 12 ft = r

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A quarter is worth of a dollar. Haley needs to exchange dollar bills to get quarters to do her laundry in coin washers and dryer
Ira Lisetskai [31]

Answer:

52 quarters

Step-by-step explanation:

-We know that a quarter dollar is equivalent to $0.25

\$1=4 \ Quarters

-Given that Haley has $13, we multiply this amount by 4 since $1 has 4 quarters to obtain the number of quarters:

Q=13\times 4\\\\=52

Hence, Hayley will get 52 quarters.

8 0
3 years ago
Rewrite in simplest terms: -2(5d-9f)+7f-10(-9f-7d)
Afina-wow [57]

Answer:

= 5 ( 12d + 23f )

Step-by-step explanation:

-2(5d-9f)+7f-10(-9f-7d

Open parenthesis

= -10d + 18f + 7f + 90f + 70d

Collect like terms

= -10d + 70d + 18f + 7f + 90f

= 60d + 115f

Factorise

= 5 ( 12d + 23f )

Therefore,

-2(5d-9f)+7f-10(-9f-7d) in its simplest form is 5 ( 12d + 23f )

4 0
2 years ago
Radius OA of circle O has a slope of 2.5. What is the slope of the line tangent to circle O to point A?
mixer [17]
The tangent at A is perpendicular to OA, so has a slope that is the negative reciprocal of that of the radius: -1/2.5 = -2/5.
5 0
3 years ago
Read 2 more answers
Describe the diagram
Tasya [4]

Answer:

The diagram reprents the 3 sets and the universal set . The shaded portion clearly can be seen as :

A \cap B \cap C + A - (A \cap B) - (A \cap C) + A \cap B \cap C + C - (C \cap B) - ( C \cap A) + (A \cap B \cap C)

Shaded region = 3(A \cap B \cap C) + A + C - (A \cap B) - 2(A \cap C) - (C \cap B)

Try to understand some what complex

3 0
3 years ago
Read 2 more answers
B
VARVARA [1.3K]

Answer:

Hypothenus = 22

Step-by-step explanation:

From the question given above, we were told that the triangles are congruent (i.e same size). Thus,

AC = EF

BC = DE

To obtain the length of each Hypothenus, we shall determine the value of y and x. This can be obtained as follow:

For y:

AC = y + 3

EF = 2y + 1

AC = EF

y + 3 = 2y + 1

Collect like terms

3 – 1 = 2y – y

2 = y

y = 2

For x:

BC = 5x + 7

DE = 6x + 2y

y = 2

DE = 6x + 2(2)

DE = 6x + 4

BC = DE

5x + 7 = 6x + 4

Collect like terms

7 – 4 = 6x – 5x

3 = x

x = 3

Finally, we shall determine the length of each Hypothenus. This can be obtained as follow:

Hypothenus = BC

Hypothenus = 5x + 7

x = 3

Hypothenus = 5x + 7

Hypothenus = 5(3) + 7

Hypothenus = 15 + 7

Hypothenus = 22

OR

Hypothenus = DE

DE = 6x + 2y

y = 2

x = 3

Hypothenus = 6(3) + 2(2)

Hypothenus = 18 + 4

Hypothenus = 22

5 0
3 years ago
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