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Lapatulllka [165]
3 years ago
7

A rope is stretched from the top of a 60 feet pole to a point on the ground 11 feet away from the base of the pole. What is the

length of the rope?
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
3 0
You'd use the equation a^2 + b^2 = c^2        (**** ^2 means squared****)

a = 60

b = 11

c = ? 
 
60^2 + 11^2 = c^2 

3600 + 121 = c^2

3721 = c^2 

then just square root 3721 and c^2 

c = 61 feet
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Help I Need Help Asap!
Leni [432]

Answer:

40° and 140° (with x = -10)

Step-by-step explanation:

Since the angles are supplementary (when added, equal 180°), you can add the two angles together to get (-18x)°. 180/-18 = -10 for x. Fill in -10 for x in both expressions. (-14 • -10)= 140° and (-4 • -10)- 40°. 140+40=180

4 0
2 years ago
All human blood can be "ABO-typed" as O, A, B, or AB, but the distribution of the types varies a bit among groups of people. Her
Tanya [424]

Answer:

a. Pr(They both have type O)

= Pr(They both have type O)

= 0.35 x 0.45

= 0.1575 = 15.75%

b. Pr( they both have the same blood type)

= Pr( they both have the same blood type)

= 2/8

= 0.25 = 25%

c. Pr( at least one person has type O)

= Pr (at least one person has type O)

= 1 - 0.3575

= 0.6425 = 64.25%

Step-by-step explanation:

a) Data:

                   O       A         B       AB

Chinese   0.35   0.27    0.26     0.12

American 0.45   0.4      0.11       0.04

b) Calculations:

i. Pr(They both have type O)

= Probability of Chinese with O multiplied by Probability of American with O

= 0.35 * 0.45

= 0.1575 = 15.75%

ii. Pr( they both have the same blood type)

= Probability of two out of 8 outcomes

= 2/8

= 0.25 = 25%

iii. Pr( at least one person has type O)

= Probability of (1 – p(none) )

The probability of none = p(none O blood type)

= p(none)

for Chinese = (0.27 + 0.26 + 0.12) * for American ( 0.4 + 0.11 + 0.04)

= 0.65 * 0.55 = 0.3575

Pr (at least one person has type O) = 1 - 0.3575

= 0.6425

4 0
3 years ago
If trapezoid JKLM is translated according to the rule (x,y)—> (x+2, y - 6), what are the coordinates of point L
guapka [62]

Answer:

<em> ( x, y) is translation '2' units right and '6' units down </em>

<em> (x ,y))—> (x +2 ,y-6)</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Type of transformation                            change to co-ordinate point

vertical translation up 'd' units                (x,y)  changes to  (x  , y+d)

<em>vertical translation down 'd' units          (x,y)  changes to  (x  , y-d)</em>

Horizontal translation left 'c' units          (x,y)  changes to  (x-c  , y)

Horizontal translation right 'c' units            (x,y)  changes to  (x+c  , y)

Now by use above table

given data  ( x, y) is translation '2' units right and '6' units down

(x ,y))—> (x +2 ,y-6)

<u><em>Final answer:-</em></u>

<em> ( x, y) is translation '2' units right and '6' units down </em>

<em> (x ,y))—> (x +2 ,y-6)</em>

3 0
3 years ago
Solve the following inequality: 2(x + 1) – (–x + 5) ≤ –18. A. x ≤ –20 B. x ≤ –9 C. x ≤ –5 D. x ≤ –37
Roman55 [17]
C.
You distribute both the 2 and the -, combine like terms, add three to both sides and then divide out the 3 from 3 on both sides
8 0
3 years ago
Please do answer: <br><br>Simplify the expression---5x-2y + 3x + 2y<br><br>(100 points)
netineya [11]
  • 5x-2y+3x+2y

Combine like terms

  • 5x+3x-2y+2y
  • (5+3)x+(-2+2)y
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8 0
2 years ago
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