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mote1985 [20]
2 years ago
4

Marcus made a sail for his toy boat. If the sail is 5 inches long and the top angle of the sail is 40°, what is the width of the

bottom of the sail (w) to the nearest tenths place?
Mathematics
1 answer:
stiv31 [10]2 years ago
3 0

Answer:

4.2 in

Step-by-step explanation:

let us first visualize the sail as a triangular shape

the angle of the triangle from top is 40°

the height of the triangle is give as 5 in

we can apply SOH CAH TOA to solve for the base of the sail

the opposite = the base of the sail

the adjacent = the height of the sail= 5 in

therefore

Tan∅= Opp/Adj

Tan(40)= Opp/5

Opp= Tan(40)*5

Opp= 0.8390*5

Opp= 4.195 in

Hence the width of the sail is 4.2 in to the nearest tenths

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Soccer game theory is that one of the first people to play the game and play it they will
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2 years ago
The heights (in cm) and arm spans (in cm) of 31 students were measured. The association between x(height) and y(arm span) is sho
abruzzese [7]

Answer:

27.385 cm longer would we expect Mike's arm span to be than George's.

Step-by-step explanation:

We have to find how many centimeters longer would we expect Mike's arm span to be than George's using the equation:

y= 4.5x + 0.977 x

where y= arm span

and x= height

Given:

Mike's height=x = 175 cm

so Mike's arm span= y= 4.5 x + 0.977 x

                                    = 4.5* (175) + 0.977* (175)

                                    = 787.5 + 170.975

                                    = 958.475 cm

George's height = x = 170 cm

so George's arm span= y= 4.5 x + 0.977 x

                                    = 4.5* (170) + 0.977* (170)

                                    = 765 + 166.09

                                    = 931.09 cm

Mike's arm span longer than George's = Mike's arm span - George's arm span

                                                                 = 958.475 - 931.09

                                                                 = 27.385 cm.

8 0
2 years ago
Larry mixed 15 grams of salt with 210 grams of a 5% salt solution in water. What is the percent of salt in his new solution?
Olegator [25]
When the concentration of a solution is expressed in weight percentages, that is just equal to the mass of solute over the mass of the total solution. For a solution weighing 210 grams, 5% of it is salt. That is equal to

210*0.05= 10.5 g salt

The rest of the amount, determined by difference, is the amount of solvent which is water.

water = 210-10.5 = 199.5 g salt

To solve for the new concentration, you add up 15 g to the already existing 10.5 g of salt in the solution. The water, on the other hand, remains constant. 

Concentration = (15+10.5)/(210+15) = 0.1133 or 11.33%
5 0
2 years ago
Isabella paid one of her bill late and owed a 4% late fee was 780. How much was Isabella's original bill in dollar
Rainbow [258]
You multipy 0.04 x 780
5 0
2 years ago
Ariel left her home at 9 a.m., driving at 45 mph. At 11 a.m. her brother left the home and started after her at 60 mph. At what
Nana76 [90]

Answer:

Her brother catch her at 11 am + 4hour = 15 p.m  

Step-by-step explanation:

Given as ;

Speed of Ariel = 45 mph

She left home at 9 a.m

Her brother speed = 60 mph

Her brother left home at 11 a.m

Now from question So As Ariel speed is 45 mph so, after two hours pass , she ahead 90 m .

As her brother travel as 60 mph ,so he travel at ( 60 - 45 )= 15 mph faster

So, with this speed her brother will catch up her at \frac{90}{15} = after 4 hour .

Hence her brother catch her at 11 am + 4hour = 15 p.m  Answer

4 0
2 years ago
Read 2 more answers
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