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iVinArrow [24]
3 years ago
7

Please help asap!!! URGENT!!!

Mathematics
1 answer:
Elis [28]3 years ago
3 0

Answer:

b = 8√3 mm, a = 16 mm, x = 5 ft, y = 5√2 ft.

Step-by-step explanation:

With 30° 60° 90° triangles, one side will be a number, the other leg will be that number multiplied by √3, and the hypotenuse will be 2 times that original number.

So in this case:

The original leg's length is 8 mm. Side b will be that 8 times √3.

So, b = 8√3 mm.

Side a will be 8 times 2.

So, a = 16 mm.

With 45° 45° 90° triangles, the two legs will be the same length, and the hypotenuse will be that number times √2.

So in this case:

The original leg's length is 5 ft. Side x will be that same length.

So, x = 5 ft.

Side y will be 5 times √2.

So, y = 5√2 ft.

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The exchange rate of U.S. dollars to British pounds is .63. You have $4000 to convert to British pounds (£). How many British po
Reika [66]

Answer: £2520


Step-by-step explanation:


You have $4000 to convert to British pounds (?). 4,000*.63=2,520.


7 0
3 years ago
See image attached below keeeeeeeeeeeeeeeeeeeed
emmasim [6.3K]

Answer:

.13%

68.26%

2.28%

47.72%

49.87%

34.13%

Step-by-step explanation:

1.) standardize by subtracting the mean and dividng by the standard deviation

(625-1000)/125= -3

go to a ztable to get .0013 or (1-.9987)

this is equal to .13%

2.)

875<x<1125

standardize both seperately and subtract them

(875-1000)/125= -1  whose probability is .1587 (or 1-.8413)

(1125-1000)/125= 1  whose probability is .8413

.8413-.1587= 68.26%

3.)

Find the probability that someone paid less than 1250 and take its compliment

(1250-1000)/125= 2 which has a probability of .9772

take its compliment (1-.9772)= .0228= 2.28%

4.)

Same process as question 2

(750-1000)/125= -2 which has a probability of (1-.9772) = .0228

(1000-1000)/125= 0 which has a probability of .5

.5-.0228= .4772= 47.72%

5.) same deal as the previous question

(625-1000)/125= -3 which has a probability of (1-.9987)= .0013

(1000-1000)/125= 0 which has a probability of .5

.5-.0013= .4987= 49.87%

6.)same deal the previous question

(875-1000)/125= -1 which has a probability of (1-.8413)=.1587

(1000-1000)/125= 0 which has a probability of .5

.5-.1587= .3413= 34.13%

4 0
3 years ago
If there are 6 serving in a 2/3 pound lb package of pound is in each serving
Serhud [2]

Answer:

\boxed{\math{\frac{1}{9}\text{ lb}}}

Step-by-step explanation:

\text{Size of one serving} = \dfrac{\text{Total size}}{\text{No of servings}} = \dfrac{\frac{2}{3}\text{ lb}}{\text{6 servings}}\\\\\text{Change the 6 to a fraction and change divide to multiply}\\\\\dfrac{2}{3} \div 6 = \dfrac{2}{3} \times \dfrac{1}{6}

\text{Cancel the 2s}\\\\\dfrac{2}{3} \times \dfrac{1}{6} = \dfrac{1}{3} \times \dfrac{1}{3}\\\\\text{Multiply numerators and denominators}\\\\\dfrac{1}{3} \times \dfrac{1}{3} = \dfrac{1}{9}\\\\\text{Each serving contains }\boxed{\mathbf{\frac{1}{9}\textbf{ lb}}}

3 0
3 years ago
In 2009 the life expectancy is about 80 life expectancy gains 5.7 years every decade. From 2009 in how many years would humanity
Dmitry [639]

Answer:

  about 70 years

Step-by-step explanation:

Life expectancy (e) improves by 5.7 years every 10 years, so 5.7/10 = 0.57 years per year. For t years after 2009, it can be modeled by ...

  e = 0.57t +80

We want to find when that is 120:

  120 = 0.57t +80

  40 = 0.57t

  40/0.57 = t ≈ 70.2

About 70 years from 2009, humanity may achieve a life expectancy of 120 years.

3 0
3 years ago
4 thousands 7 hundreds = 47
motikmotik
If there is 4 thousands and 7 hundreds is 4,700
4 0
3 years ago
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