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2 years ago

15

the original recipe for tartar sauce yields 1 gallon but you need to prepare 2 1/2? round the answer to the nearest hundredth de

cimal point

1 answer:

Evgesh-ka [11]2 years ago

3 0

I believe the answer is 2.5. I apologize if I'm wrong :/ =))

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A person sights a boat from 235 feet above sea-level as shown. If the angle of depression from the man to the boat is 21 , then

Evgen [1.6K]

Answer:

B = 612.2 ft

Step-by-step explanation:

Solution:-

- The elevation of person, H = 235 ft

- The angle of depression, θ = 21°

- We will sketch a right angle triangle with Height (H), and Base (B) : the boat's distance to the edge of the cliff and the angle (θ) between B and the direct line of sight distance.

- We will use trigonometric ratios to determine the distance between boat and the edge of the cliff, using tangent function.

tan ( θ ) = H / B

B = H / tan ( θ )

B = 235 / tan ( 21 )

B = 612.2 ft

4 0

2 years ago

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A 12-ft ladder is leaning on a building. If the base of the ladder is placed 5 feet from the building, approximately how high do

Citrus2011 [14]

A^2+b^2=c^2

5^2+b^2=12^2

25+b^2=144

b^2=144-25

b^2=119

SQUARE ROOT BOTH SIDES:

b=10.9

The answer is c.

3 0

3 years ago

Read 2 more answers

How to find the area of each of the shaded sectors and round to the nearest hundredth

Mazyrski [523]

Answer:

1-6 you need to write the JHI DEF where the radius center point is in the middle of each shape next to 1-6 some have 2 shapes so use 6 letters there.

Step-by-step explanation:

1. Area = 72 of 360 = 20% of 716.3 = 143.26inch*2 =JHI

2.Area = 19 of 360 = 68.4% of 69.4 = 47.46km^2 =DEF

3. Area = 92 of 360 = 25.56% of 153.9 = 39.33cm^2

4. Area = 226 of 360 = 64.57% of 706.9 = 456.45ft^2

5. Area = 74 of 360 = 20.55% of 153.9 =31.63 inch^2

6. Area = 326 of 360 = 90.56% of 1452 -137.07 = 1314.93m^2

8 0

3 years ago

The International Coffee Association has reported the mean daily coffee consumption for U.S. residents as 1.65 cups. Assume that

Harman [31]

Answer:

The calculated value t = 1.3788 < 2.0262 at 0.05 level of significance

the null hypothesis is accepted

There is no significant difference between their counterparts across the nation

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the U.S residents = 1.65

Given that the size of the sample 'n' = 38

Mean of the sample = 1.84

Given that the standard deviation of the sample (S) = 0.85

<u><em>Step(ii):-</em></u>

<u><em>Null hypothesis:</em></u>H₀:

There is no significant difference between their counterparts across the nation

<u><em>Alternative Hypothesis:-</em></u>H₁:

There is a significant difference between their counterparts across the nation

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{1.84-1.65}{\frac{0.85}{\sqrt{38} } }$

t = 1.3788

Degrees of freedom

ν = n-1 = 38-1 = 37

t₀.₀₅ ,₃₇ = 2.0262

The calculated value t = 1.3788 < 2.0262 at 0.05 level of significance

Null hypothesis is accepted

<u><em>Final answer:-</em></u>

There is no significant difference between their counterparts across the nation.

5 0

2 years ago

Let an integer be chosen at random from the integers 1 to 30 inclusive. Find the probability that the integer chosen is divisibl

Natalka [10]

There are 30 total integers. 10 of these will be divisible by 3 (all multiples of 3 between 3 and 30). So the probability of getting an integer evenly divisible by 3 is $\dfrac{10}{30}=\dfrac13$ .

8 0

3 years ago

Read 2 more answers