All categories

3 years ago

Solve each proportion 3/39= y/13

Mathematics

2 answers:

Sphinxa [80]3 years ago

6 0

Answer:

$y = 1$

Step-by-step explanation:

$\frac{3}{39} = \frac{y}{13}$

Cross multiply

$39 = 39y$

Divide by 39

$y = 1$

g100num [7]3 years ago

5 0

Answer:

$\boxed {\boxed {\sf y=1}}$

Step-by-step explanation:

To solve the proportion, we must solve for the variable. This is done by isolating the variable.

$\frac {3}{39}= \frac {y}{13}$

The variable, y, is being divided by 13. The inverse of division is multiplication. Multiply both sides of the proportion by 13.

$13*\frac {3}{39}= \frac {y}{13}*13$

$13*\frac {3}{39}=y\\1=y$

Another way to solve is by cross multiplying. Multiply the 1st numerator by the 2nd denominator, then the 1st denominator and the 2nd numerator.

$\frac {3}{39}= \frac {y}{13}$

$3*13=39*y\\39=39y$

Divide both sides by 39 to isolate the variable.

$39/39=39y/39 \\1=y$

In this proportion, y is equal to 1.

You might be interested in

Can you please help me find the area? Thank you. :)))

Phoenix [80]

The figure shown in the picture is a rectangular shape that is missing a triangular piece. To determine the area of the figure you have to determine the area of the rectangle and the area of the triangular piece, then you have to subtract the area of the triangle from the area of the rectangle.

The rectangular shape has a width of 12 inches and a length of 20 inches. The area of the rectangle is equal to the multiplication of the width (w) and the length (l), following the formula:

$A=w\cdot l$

For our rectangle w=12 in and l=20 in, the area is:

$\begin{gathered} A_{\text{rectangle}}=12\cdot20 \\ A_{\text{rectangle}}=240in^2 \end{gathered}$

The triangular piece has a height of 6in and its base has a length unknown. Before calculating the area of the triangle, you have to determine the length of the base, which I marked with an "x" in the sketch above.

The length of the rectangle is 20 inches, the triangular piece divides this length into three segments, two of which measure 8 inches and the third one is of unknown length.

You can determine the value of x as follows:

$\begin{gathered} 20=8+8+x \\ 20=16+x \\ 20-16=x \\ 4=x \end{gathered}$

x=4 in → this means that the base of the triangle is 4in long.

The area of the triangle is equal to half the product of the base by the height, following the formula:

$A=\frac{b\cdot h}{2}$

For our triangle, the base is b=4in and the height is h=6in, then the area is:

$\begin{gathered} A_{\text{triangle}}=\frac{4\cdot6}{2} \\ A_{\text{triangle}}=\frac{24}{2} \\ A_{\text{triangle}}=12in^2 \end{gathered}$

Finally, to determine the area of the shape you have to subtract the area of the triangle from the area of the rectangle:

$\begin{gathered} A_{\text{total}}=A_{\text{rectangle}}-A_{\text{triangle}} \\ A_{\text{total}}=240-12 \\ A_{\text{total}}=228in^2 \end{gathered}$

The area of the figure is 228in²

8 0

1 year ago

Which sequences are geometric? check all that apply

dlinn [17]

2,6,18,54 because they have a common ratio of 3

3 0

3 years ago

Carl button airline ticket two weeks ago the cost of this flight was $300 what is the percent increase

kumpel [21]

3% is the percent increase

8 0

3 years ago

ANSWER FAST!!!!!!!

Lemur [1.5K]

Answer:

The angle between the 190 ft. side and the 330 ft. side is $57.9^o$

Step-by-step explanation:

The Law of Cosines

When we know the value of all sides of a triangle, we can compute all of its interior angles by using the Law of Cosines, which is a generalization of the Pythagoras's theorem. If a,b, and c are the known sides of a triangle and $\alpha$ is the angle formed by sides a and b (opposite to c), then