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3 years ago

What is the length of the line AB a. 8 b. 8.3 c. 6.6 6. 9.7

Mathematics

2 answers:

Alex73 [517]3 years ago

6 0

The most rel and correct answer is 8.3

lilavasa [31]3 years ago

4 0

We know that
in the right triangle ACD
Applying the Pythagoras theorem
AC²=AD²+CD²------> AD²=AC²-CD²-----> AD²=5²-4²---> AD²=9----> AD=3

let
∅=angle CAD
tan ∅=4/3

in the right triangle CDB
the angle DCB is equal to ∅
tan ∅=DB/CD-------> DB=CD*tan ∅------> DB=4*(4/3)----> DB=16/3

AB=AD+DB-----> 3+16/3----> AB=25/3----> AB=8.33

the answer is
<span>b. 8.3</span>

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At the ice cream parlor,sundaes cost $4.25 and waffle cones cost $3.75.You and your friends have $50 to spend.Your group buys 5

stich3 [128]

Answer:

You can buy 7 waffle cones.

Step-by-step explanation:

Let sundae = x

Let waffle cones = y

4.25x + 3.75y ≤ 50

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21.25 + 3.75y ≤ 50

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* round to the nearest whole to get 7

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3 years ago

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3 years ago

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kaheart [24]

Answer:

We have been given that a car can travel 476 miles on 14 gallons of gas and we are asked to write an equation relating the distance d to the number of gallons g.

We can set an equation as distance traveled is directly proportional to number of gallons used in travelling that distance.

Now we will find out K(number of miles traveled in one gallon of gas) by substituting our given values in this equation.

Therefore, we can see that car travels 34 miles in one gallon of gas.

Now we can use this information to find out how many gallons of gas does this car need to travel 578 miles.

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Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Joy is making a fruit salad. For every 2 cups of blueberries that Joy uses in the fruit salad, she uses 3 cups of strawberries.

Igoryamba

Joy will need to use 9 cups of strawberries for 6 cups of blueberries.

Step-by-step explanation:

Given,

Cups of blueberries used for 3 cups of strawberry = 2

Ratio of cups of blueberry to strawberry = 2:3

Joy wants to use 6 cups of blueberries.

Let,

x be the cups of strawberry for 6 cups of blueberries.

Ratio of cups of blueberries to strawberries = 6:x

Using proportion;

Ratio of cups of blueberry to strawberry :: Ratio of cups of blueberries to strawberries

$2:3::6:x$

Product of extreme = Product of mean

$2*x=3*6\\2x=18$

Dividing both sides by 2

$\frac{2x}{2}=\frac{18}{2}\\x=9$

Joy will need to use 9 cups of strawberries for 6 cups of blueberries.

Keywords: ratio, proportion, division

Learn more about division at:

#LearnwithBrainly

7 0

3 years ago

Please help due ASAP <br> Show workings please

Nostrana [21]

Step-by-step explanation:

I don't know if this is the right way to so it, but I would do it like this

since a triangle has 180 degrees, the angles all have to add up to 180

So 180 = a + b + c

we already know a, its 95

So 180 = 95 + b + c

now we know the equation for b, so we'll just put it there instead of the b, and since the angles are the same, we should put it instead of c too

180 = 95 + (4x-15) + (4x-15)

now subtract 95 from both sides

85 = (4x-15) + (4x-15)

add the xs and numbers together

85 = 8x - 30

now add the 30 to both sides

115 = 8x

divide by 8

your x is 14 3/8 or 14.375 or 115/8

that's not your angle, that's your x

5 0

3 years ago