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3 years ago

Solve the equation4(y-3)=13

Mathematics

2 answers:

I am Lyosha [343]3 years ago

7 0

Step-by-step explanation:

$4(y - 3) = 13 \\ \\ \therefore \: 4y - 4 \times 3 = 13 \\ \\ \therefore \: 4y - 12 = 13\\ \\ \therefore \: 4y = 13 + 12 \\ \\ \therefore \: 4y = 25 \\ \\ \therefore \:y = \frac{25}{4} \\ \\ \therefore \:y = 6\frac{1}{4}$

AfilCa [17]3 years ago

7 0

4y-12=13
4y=13+12
4y=25

Answer: y=25/4

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Sudhir bought an almirah for RS 13600 and spent RS 400 on its transportation . He sold it for RS 16800 . find the his gain perce

oee [108]

Answer:

His gain percent is 20%

Step-by-step explanation:

In this question, we want to find the percentage gain of the business.

We need the following parameters;

The cost price which is the sum of the amount she bought the goods + the amount spent on transport

Using the values we have in the question;

The cost price will be;

13,600 + 400 = Rs 14,000

The selling price = Rs 16,800

Mathematically the percentage gain will be;

% gain = (selling price- cost price)/selling price * 100%

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3 years ago

Find the area of the given triangle to the nearest square unit. Angle a= 30 degrees, b=10, angle B=45 degrees

storchak [24]

Answer:

$A=34\ units^2$

Step-by-step explanation:

Suppose we have a general triangle like the one shown in the figure.

We know the angle A, the angle B and the length b.

$A = 30\°\\\\B = 45\°\\\\b = 10$

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.

$A + B + C = 180\\\\30 + 45 + C = 180$

We solve the equation and thus we find the angle C.

$C = 180 - 30-45\\\\C = 105$

We already know the three triangle angles.

Now we use the sine theorem to calculate the sides c and a.

The sine theorem says that:

$\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}$

Then

$\frac{sin(30)}{a}=\frac{sin(45)}{10}$

$\frac{sin(30)}{\frac{sin(45)}{10}}=a$

$a=7.071$

Also

$\frac{sin(105)}{c}=\frac{sin(45)}{10}$

$\frac{sin(105)}{\frac{sin(45)}{10}}=c$

$c=13.660$

Finally, we use the Heron formula to calculate the triangle area

$A=\sqrt{s(s-a)(s-b)(s-c)}$

Where s is:

$s=\frac{a+b+c}{2}$

Therefore

$s=\frac{7.071+10+13.660}{2}$

$s=15.37$

$A=\sqrt{15.37(15.37-7.071)(15.37-10)(15.37-13.66)}$

$A=34\ units^2$

3 0

3 years ago

A supplier sells 2 and 1/4 pounds of mulch for every 1 and 1/3 pounds of gravel. The supplier sells 172 pounds of mulch and grav

polet [3.4K]

Because ratios can be written as fractions
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= 95.56

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3 years ago

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Answer:

Step-by-step explanation:

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Flura [38]

Answer:

D r = 4 − 4 cos(θ)

Step-by-step explanation:

Right on edge

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3 years ago

Solve the equation4(y-3)=13​

Solve the equation4(y-3)=13