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DerKrebs [107]
3 years ago
11

CKPenny is selling 50 coats. Each coat with a hood have 5 buttons and each coat without a hood have 10 buttons. If there are 400

buttons among all the coats, how many coats don't have hoods?
Mathematics
1 answer:
dexar [7]3 years ago
7 0

Answer:

40 coats don't have hoods

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There are 15 books on a shelf. 9 of these books are new. The rest of them are used. what is the ratio of all books​
Andrew [12]

Answer:

a)15:6 b)2:3

Step-by-step explanation:

No. of used books=15-9=6

a) 15:6

b)

6:9

2:3

6 0
3 years ago
The corners of a square lie on a circle of diameter d = 0.35 m. each side of the square has a length l. find l.
sergeinik [125]

Refer to the attached image.

As we can observe ABCD is a square, whose corners that is A,B,C and D lie on the circle.

The diameter AC = 0.35 meter.

We have to find the side of square.

Let the measure of side of a square be 'l' meter

In triangle ABC,

By Pythagoras theorem, we get

(AC)^2 = (AB)^2 + (BC)^2

(0.35)^2 = (l)^2 + (l)^2

(0.35)^2 = 2(l)^2

\frac{(0.35)^2}{2} = (l)^2

l^2 = 0.06125

So, l = 0.25 meter

Therefore, the measure of side of the square is 0.25 meter.


6 0
3 years ago
Find the length of the segment that joins the points (-5, 4) and (6,-3).
Helen [10]

Answer:

\boxed {\boxed {\sf d=\sqrt{170} \ or \  d\approx 13.04}}}

Step-by-step explanation:

We are asked to find the length of a segment or the <em>distance</em> between the 2 points. The formula for distance is:

d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

where (x₁ y₁) and (x₂, y₂) are the points. We are given the points ( -5, 4) and (6, -3). If we match the number and the corresponding variable, it is:

  • x₁= -5
  • y₁= 4
  • x₂= 6
  • y₂ = -3

Substitute the values into the formula.

d= \sqrt{(6--5)^2+(-3-4)^2

Solve inside the parentheses.

  • 6--5 (Back to back negative signs become a positive)= 6+5 =11
  • -3-4= -7

d= \sqrt{(11)^2+(-7)^2

Solve the exponents.

  • (11)²= 11*11= 121
  • (-7)²= -7*-7= 49

d= \sqrt {(121)+(49)

Add.

d= \sqrt {170}

d=13.0384048104

Even though it's not specified, we could round to the nearest hundredth to make the answer more concise. The 8 in the thousandth place tells us to round the 3 to a 4 in the hundredth place.

  • 13.03<u>8</u>4048104

d\approx 13.04

The length of the segment is <u>√170</u> or approximately <u>13.04. </u>

7 0
3 years ago
You earn 1400 simple interest on a principal of 12500 in four years. what is the interest rate on your account
xz_007 [3.2K]
The answer to that equation is 12%
3 0
3 years ago
Find the diameter of the circle. Assume the leg of the triangle is tangent to the circle. Round any decimals to the nearest tent
Anvisha [2.4K]

Answer:

8.7 units

Step-by-step explanation:

Given is a right angled triangle (because the segment with 5 units length is tangent to circle. Tangent is perpendicular to RADIUS or diameter)

Let the length of the diameter be d units

By Pythagoras Theorem:

d =   \sqrt{ {10}^{2} -  {5}^{2}  }  \\  =  \sqrt{100 - 25}  \\  =  \sqrt{75} \\  =  8.66025404 \\  = 8.7 \: units

3 0
3 years ago
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