Evaluate 6 t, - 20 - 32u when t = 6 and u = 1/4

A 39-foot piece of string (hypotenuse) is stretched from the top of a 18-foot flagpole to the ground. How far is the base of the

ivann1987 [24]

9514 1404 393

Answer:

34.6 ft

Step-by-step explanation:

The distance can be found using the Pythagorean theorem. Where a, b, c are the sides of a right triangle with c as the hypotenuse, it tells you ...

a² + b² = c²

a = √(c² -b²)

base-to-string = √(39² -18²) = √1197 ≈ 34.598

The distance from the base of the pole to the end of the string is about 34.6 feet.

7 0

3 years ago

A random sample of 12 chemists from Washington stats shows an average salary of $39,420 with a standard deviation of $1659. A ra

cestrela7 [59]

Answer:

Step-by-step explanation:

Given that :

μ1 = 39420 ; σ1 = 1659 ; s1 = 12

μ2 = 30215 ; σ2 = 4116 ; s2 = 26

df1 = 12 - 1 = 11

df2 = 26 - 1 = 25

98 % confidence interval of the difference in sample means :

Pooled Variance :

S²p = ((df1 * s1²) + (df2 * s2²)) / (df1 + df2)

((11×1659^2)+(25×4116^2))÷(11+25) = 12605874.75

Standard Error :

√(S²p/n1) + (S²p/n2)

√(12605874.75/12) + (12605874.75/26)

= 1239.0847

8 0

3 years ago

Question 5(Multiple Choice Worth 1 points)

Snezhnost [94]

Given:

The graph passes through the points (0,-20) and (4,10).

To find:

The equation of line that most closely represents the line depicted in the graph.

Solution:

If a line passing through two points, then the equation of line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

The given line passes through the points (0,-20) and (4,10). So, the equation of line is

$y-(-20)=\dfrac{10-(-20)}{4-0}(x-0)$

$y+20=\dfrac{10+20}{4}(x)$

$y+20=\dfrac{30}{4}x$

$y+20=\dfrac{15}{2}x$

Subtracting 20 from both sides, we get

$y=\dfrac{15}{2}x-20$

The function form is

$f(x)=\dfrac{15}{2}x-20$

f of x equals fifteen halves times x minus 20.

Therefore, the correct option is B.

7 0

3 years ago

What is the third angle of a right triangle if one of the angles measures 42.6

Llana [10]

Answer:

112

Step-by-step explanation:

lol not 100% sure

5 0

3 years ago

Read 2 more answers

You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $3.19 a p

SSSSS [86.1K]

Answer:

Yes, it is worth the extra drive, going to the further store is cheaper.

The cheaper option saves you $0.89.

Step-by-step explanation:

1.) Neighborhood store

It is 2.4 miles away

The car averages about 25 miles per gallon, then you would need:

2.4 miles / (25 miles/gallon) = 0.096 gallons of gas < 13 gallons (Ok)

The gas is about $3.89/gallon, then the gas would cost:

0.096 gallons * ($3.89/gallon) = $0.37344 = $0.37

The chicken is sold for $3.49 a pound, and you need 6 pounds, then you would pay:

6 pounds * ($3.49/pound) = $20.94

In total you would need:

$0.37 (gas) + $20.94 (chiken) = $21.31 if you buy the chicken in the neiborhood store

2.) Store acroos town

It is 8.2 miles away

The car averages about 25 miles per gallon, then you would need:

8.2 miles / (25 miles/gallon) = 0.328 gallons of gas < 13 gallons (Ok)

The gas is about $3.89/gallon, then the gas would cost:

0.328 gallons * ($3.89/gallon) = $1.27592 = $1.28

The chicken is sold for $3.19 a pound, and you need 6 pounds, then you would pay:

6 pounds * ($3.19/pound) = $19.14

In total you would need:

$1.28 (gas) + $19.14 (chiken) = $20.42 if you buy the chicken in the store across town

$20.42 < $21.31, then it is worth the extra drive, going to the further store is cheaper.

The cheaper option saves you: $21.31-$20.42=$0.89

8 0

3 years ago