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vampirchik [111]
3 years ago
13

The bottom of the ladder on a horizontal flat surface rests against a wall. It makes an angle of elevation of 35°. The bottom of

the ladder is 42 ft from the base of the wall. How long is the ladder? Round your answer to the nearest whole number.
Mathematics
1 answer:
Elena L [17]3 years ago
6 0
You can use the cos Ф = base / hypotenuse.
 In this case, you have h = 42/cos 35 (approx. 0.819)
h = 42/0.819 = 51.3

To the nearest whole number, the length of the ladder is 51 feet.

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Five more than the sum of a number and ten
Montano1993 [528]
X=5y+10 this is the answer
4 0
3 years ago
How many squares are there in in the figure at the right?
wolverine [178]

Answer:

The correct answer to the puzzle is 40 squares. That's right: It's not 8, 16, 24, 28 or 30, and we'll tell you why. The image is made up of eight tiny squares, 18 single squares, nine 2 x 2 squares, four 3 x 3 squares, and one 4 x 4 square

Step-by-step explanation:

7 0
2 years ago
john's dad gave him 8 3/4 pieces of wood. he used 4 2/3 pieces to make a bird house. his friend david then asked for 1 1/2 piece
Serjik [45]
Ok so this all about subtracting fractions this is what you want to do:

you can change 8 3/4 and 4 2/3 to have the same value and deominator
8 3/4 = 8 9/12(multiply both sides by 3)
4 2/3 = 4 8/12(multiply both sides by 4)
you do this because 12 is divisible by 3 and 4

then, subtract 4 8/12 from 8 9/12 because John is using some of the wood his dad gave him.
then subtract once again, taking 11/2 away from your difference.
again match the deominator of 11/2 to the deominator of your difference which should be 12. another divisible of 12 is 2 and 6.
11/2 = 66/12 = 5 6/12(multiply both the top and bottom by 6)
and start subtracting.

so John should have -1 5/12(?) wood left


3 0
3 years ago
Please help question in picture please
VikaD [51]

Answer:

<em>-1,3,5,9,13</em>

Step-by-step explanation:

2(-3)+5=-6+5=-1

2(-1)+5=-2+5=3

2(0)+5=0+5=5

2(2)+5=4+5=9

2(4)+5=8+5=13

7 0
3 years ago
Lotteries are an important income source for various governments around the world. However, the availability of lotteries and ot
SashulF [63]

Answer: 0.0473

Step-by-step explanation:

Given : The proportion of gambling addicts : p=0.30

Let x be the binomial variable that represents the number of persons are gambling addicts.

with parameter p=0.30 , n= 10

Using Binomial formula ,

P(x)=^nC_xp^x(1-p)^{n-x}

The required probability = P(x>5)=P(6)+P(7)+P(8)+P(9)+P(10)\\\\=^{10}C_6(0.3)^6(0.7)^{4}+^{10}C_7(0.3)^7(0.7)^{3}+^{10}C_8(0.3)^8(0.7)^{2}+^{10}C_9(0.3)^9(0.7)^{1}+^{10}C_{10}(0.3)^{10}(0.7)^{0}\\\\=\dfrac{10!}{4!6!}(0.3)^6(0.7)^{4}+\dfrac{10!}{3!7!}(0.3)^7(0.7)^{3}+\dfrac{10!}{2!8!}(0.3)^8(0.7)^{2}+\dfrac{10!}{9!1!}(0.3)^9(0.7)^{1}+(1)(0.3)^{10}\\\\=0.0473489874\approx0.0473

Hence, the required probability = 0.0473

5 0
2 years ago
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