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3 years ago

Please do both! Will mark brainliest

Mathematics

1 answer:

NikAS [45]3 years ago

6 0

Answer:

1. x = 19.9 2. x = 8.1

Step-by-step explanation:

1. Cos(x) = Adjacent/Hypotenuse We identify that the angle of 17 degrees is next to the adjacent side of 19 and the hypotenuse is the longest side of the triangle.

Cos(17) = 19/x We substitue in the values then rearrange to give us x.

xCos(17) = 19 We multiply both sides by x.

x = 19/Cos(17) We divide by Cos(17).

x = 19.86814337 We put it into the calculator.

x = 19.9 Rounding to the nearest tenth is the same as rounding to 1 decimal place.

2. Tan(x) = Opposite/Adjacent We identify that the angle of 51 degrees is opposite 10 and next to the adjacent side of x.

Tan(51) = 10/x We substitute in the values then rearrange to give us x.

xTan(51) = 10 We multiply both sides by x.

x = 10/Tan(51) We divide by Tan(51).

x = 8.097840332 We put it into the calculator.

x = 8.1 Rounding to the nearest tenth is the same as rounding to 1 decimal place.

Hope that helps you.

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A national survey of 2000 adult citizens of a nation found that 24% dreaded Valentine's Day. The margin of error for the surve

Goryan [66]

Answer:

The correct option is (A).

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

$CI=\hat p \pm MOE$

The information provided is:

$\hat p$ = 0.24

MOE = 0.089

The 85% confidence interval for the population proportion of adults who dreaded Valentine's Day is:

$CI=\hat p \pm MOE$

$=0.24\pm 0.089\\=(0.151, 0.329)$

So, the 85% confidence interval for the population proportion of adults who dreaded Valentine's Day is (0.151, 0.329).

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

So, the 85% confidence interval for the population proportion, (0.151, 0.329), implies that there is 85% confidence that the proportion of the adult citizens of the nation that dreaded Valentine's Day is between 0.151 and 0.329.

Or there is 0.85 probability that the true proportion of the adult citizens of the nation that dreaded Valentine's Day is between 0.151 and 0.329.

Thus, the correct option is (A).

7 0

3 years ago

Beginning drivers soon learn that bringing an automobile to a stop requires greater distances for higher speeds. A formula that

BaLLatris [955]

The formula for the stopping distance in feet is

$d=1.1v+0.055v^2$

where $v$ = Speed of the car in miles per hour.

The stopping distance for the car traveling at 15 mph is

$d=1.1\times 15+0.055\times 15^2\\\Rightarrow d=28.875\approx 29\ \text{feet}$

The stopping distance for the auto traveling at 15 mph is $29\ \text{feet}$ .

The stopping distance for the car traveling at 30 mph is

$d=1.1\times 30+0.055\times 30^2\\\Rightarrow d=82.5\approx 83\ \text{feet}$

The stopping distance for the auto traveling at 30 mph is $83\ \text{feet}$ .

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4 0

3 years ago

Pls help it’s 6th grade math

slamgirl [31]

Answer:

Step-by-step explanation: The first answer is c. 7+3w, because the puppy already weighs 7 ounces. Since the puppy didn't end up losing those pounds, then you would add instead of subtract. Since the puppy gains 3 ounces a week, you would multiply the 3 ounces by the number of weeks that pass by. So, if one week passes, the puppy gains three ounces. Add that to the original 7 ounces, then after one week, the puppy weighs 10 ounces.

The second answer would be a. 22 ounces, because if you use the previous formula (x=7+3w), then you would plug 5 in for w. This would give you 7+3(5). 3x5=15 and 15+7=22. therefore, x=22 ounces.

7 0

3 years ago

Read 2 more answers

If 10x = 5, what is x?

Julli [10]

Answer:

x=0.5

Step-by-step explanation:

hope it helped.

8 0

3 years ago

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