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dimulka [17.4K]
3 years ago
10

Can someone please help me :)

Mathematics
1 answer:
Bas_tet [7]3 years ago
3 0

Answer:

2\sqrt{13}

Step-by-step explanation:

12x12 = 144

14x14 = 196

144 + ? = 196

196 - 144 = 52

\sqrt{52} = 2\sqrt{13}

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Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,
Alenkinab [10]

Answer:

51.15 cm

Step-by-step explanation:

Data provided

Basin = 40 centimeters deep

The Angle between the sloping sides = 77°

The calculation of the shortest distance between the tip of the cone and its rim is shown below:-

The angle will get divided and the angle is as follows

\frac{77^\circ}{2}=38.5^\circ

Here In the first triangle, we will follow "Cosine formula" which follows:-

\cos 38.5^\circ=\frac{Base}{Hypotenuse}

cos 38.5^\circ=\frac{40}{Hypotenuse}

\\\\0.782=\frac{40}{Hypotenuse}

\\\\Hypotenuse=\frac{40}{0.782}

=51.15\ cm

4 0
3 years ago
The five members of the Traynor family each buy train tickets. During the train ride, each family member buys a boxed lunch for
larisa [96]

Let's assume

the price of each train ticket is x

we are given

total number of family members =5

so, total cost of ticket = total number of family members*the price of each ticket

so, total cost of ticket =5*x

so, total cost of ticket =5x

now, we have

each family member buys a boxed lunch for $6.50

so, total cost of lunch box = total number of family members*price of each lunch box

so, total cost of lunch box = 5*6.50

total cost of trip = total cost of ticket+total cost of lunch box

we are given

total cost of trip is $248.50

now, we can plug values

and we get

248.50=5x+5*6.50

now, we can solve for x

248.50=5x+32.5

248.50-32.5=5x+32.5-32.5

216=5x

\frac{5x}{5} =\frac{216}{5}

x=43.2

so,

the price of each train ticket is $43.2..........Answer

8 0
4 years ago
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5 0
3 years ago
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Cherries cost $4/lb. Grapes cost $1.50/lb. you can spend no more than $6 on fruit,and you need at least 2lb in all.Create a grap
Lady bird [3.3K]

4/5.5=73%; 1.5/5.5=27%
So.each fruit Cherries=21*73%=15.33b
Grapes=21*27%=5.67b
5 0
3 years ago
A line passes through the point (4,-6) and he a slope -3/4. Which is the equation of the line?
ANEK [815]

Answer:

The equation of the line is 3x + 4y + 12 = 0

Step-by-step explanation:

given \: that \: the \: line \: passes \: through \: (4 , - 6) \\ and \: has \: the \: slope \: of \:  \frac{ - 3}{4}  \\ the \: equation \: of \: the \: line \: is \\ y - y1 = m(x - x1) \\ here \: x1 = 4 \:  \:  \: y1 =  - 6 \:  \: and \: m =  \frac{ - 3}{4}  \\ on \: substituting \: the \: values \: in \: formula \\ y - ( - 6) =  \frac{ - 3}{4} (x - 4) \\ y + 6 = \frac{ - 3}{4} (x - 4)  \\ 4(y + 6) =  - 3(x - 4) \\ 4y + 24 =  - 3x + 12 \\ 3x + 4y + 24 - 12 = 0 \\ 3x + 4y + 12 = 0

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS</em><em> </em><em>FOR GIVING ME THE OPPORTUNITY TO</em><em> </em><em>ANSWER YOUR QUESTION</em><em>. </em>

8 0
3 years ago
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