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3 years ago

Solve for the unknown angle

Mathematics

2 answers:

Solnce55 [7]3 years ago

8 0

30°
20+130=150
180-150=30

Helga [31]3 years ago

4 0

Answer:

Step-by-step explanation:

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Ad claims 5 out of 6 students prefer talking than texting. Is the prediction correct is 500 out of 60? Explain why predicting is

balandron [24]

Answer:

Step-by-step explanation:5/6 is 0.83 as a decimal you need to multiply that by 500 to see that 415 out of 500 would prefer talking to texting

5 0

3 years ago

wel

Answer:

x = 7 cm

Step-by-step explanation:

12x9 + 3x = 129

108 + 3x = 129

3x = 21

x = 7 cm

4 0

3 years ago

GUYS I NEED HELP ASAP

vovangra [49]

Answer:

$A=2400ft$

Step-by-step explanation:

A rectangle is a closed planer quadrilateral with four right angles and its opposite sides are the same length. The fence around it including the gates is 200 feet long, so basically they are providing the perimeter of the rectangle. The perimeter of a rectangle is equal to the sum of all its sides. Hence:

$Perimeter=w+h+w+h=2w+2h\\\\Where:\\\\w=Width\\h=Height$

The ectangular playground is 40 feet wide, so:

$w=40ft$

Therefore:

$Perimeter=2w+2h\\\\200=2(40)+2h\\\\200=80+2h$

Solving for h:

$2h=200-80\\\\2h=120\\\\h=\frac{120}{2} \\\\h=60ft$

The area of a rectangle is equal to the product of two of its contiguous sides, hence:

$A=wh\\\\A=(40)(60)=2400ft$

I attached you a picture of the rectangle

5 0

3 years ago

Solve the compound inequality<br> 3t-8/5 and 4-t<-7

Sav [38]

Answer: -2.8

Step-by-step explanation:

3t-(8/5) * 4-t < -7

(15t-8)/5 * 4-t < -7

((15t-8)(4-t))/5 < -7

(15t^2)-28t-32< -7

(15t^2)-28t-32-7< 0

(15t^2)-28t-39< 0

Using the quadratic/almighty formula

t= (-b +- ((b^2)-4ac)^(1/2)/2a)

a=15, b=-28, c=-39

t= (-(28) +- (((-28)^2)-4(15)(-39))^(1/2))/2(15))

t= -2.8 or t= 0.9

Since

t<0, then t= -2.8

8 0

3 years ago

A prime number is a number that is evenly divisible only by 1 and itself. The prime numbers less than 100 are listed below.2 3 5

Usimov [2.4K]

Answer:

a. 0.96 = 96% probability that the number is odd.

b. 0.48 = 48% probability that the sum of the digits is odd.

c. 0.24 = 24% probability that the number is greater than 70.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We are given the prime numbers less than 100, they are:

2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

There are 25 prime numbers less than 100.

a. The number is odd

Of the 25, 24 are odd, only the number 2 is even. So

24/25 = 0.96 = 96%

0.96 = 96% probability that the number is odd.

b. The sum of the digits is odd

The sum of the digits is odd for:

3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89. So for 12 of them

12/25 = 0.48 = 48%

0.48 = 48% probability that the sum of the digits is odd.

c. The number is greater than 70

71, 73, 79, 83, 89, 97. 6 of them

6/25 = 0.24 = 24%

0.24 = 24% probability that the number is greater than 70.

5 0

3 years ago