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Rainbow [258]
3 years ago
12

a 40-foot ladder leans outside against a the cafeteria. The ladder’s base is 20 feet from the cafeteria. To the nearest degree,

what is the angle the ladder makes with the ground
Mathematics
1 answer:
eimsori [14]3 years ago
4 0

Answer:

60 degrees.

Step-by-step explanation:

We use trigonometry of a right angled triangle:

Adjacent side = 20 ft, Hypotenuse = 40 ft.

cos x = adjacent / hypotenuse = 20/40 = 1/2

x = 60 degrees.

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The U.S. Senate has 100 members. After a certain​ election, there were 16 more Democrats than​ Republicans, with no other partie
mixer [17]

Answer:

34 Republicans 66 democrats

Step-by-step explanation:

so if there are 100 members evenly split, the 2 parties would each have 50

this is the starting point you add 16 to the democratic side resulting in 66 but then you take 16 from the Republican side making it 34

3 0
3 years ago
The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country durin
Vladimir [108]
F=5.77X10^9(1.032^(y-1985)), we want to know when this is:

2.2X10^12=5.77X10^9(1.032^(y-1985))

381.2825=1.032^(y-1985)

ln(3,812825)=(y-1985)ln(1.032)

ln(3.812825)/ln(1.032)=y-1985

y=1985+ln(3.812825)/ln(1.032)

y≈2027.5  

So GDP will reach 2.2 trillion during the year 2027.
5 0
3 years ago
. A recent report in a women magazine stated that the average age for women to marry in the United States is now 25 years of age
Setler [38]

Answer: 0.0136

Step-by-step explanation:

Given : Mean : \mu=25

Standard deviation : \sigma=3.2

Sample size : n=50

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x = 24

z=\dfrac{24-25}{\dfrac{3.2}{\sqrt{50}}}=-2.21

The p-value = P(z\leq-2.21)= 0.0135526\approx0.0136

Hence, the probability that the sample mean age for 50 randomly selected women to marry is at most 24 years = 0.0136

3 0
3 years ago
Use the figure to name a plane containing point <br> L.
luda_lava [24]
Put a picture pleasee
5 0
2 years ago
the coach for a basketball team wants to buy new shoes for her 12 players. super sport is offering a 20%discount on each pair of
Klio2033 [76]
Here are the calculations for Super Sport:

[12 ($72.50 x 0.8)] 1.065 = $741.24

Here is the math for Double Dribbles:

[12($54.75 x 1.09)] + (12 x $5.99) = $788.01

$788.01 - $741.24 = $46.77

The difference in price is $46.77.

6 0
3 years ago
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