What will be the new coordinates of (3, -1) if it is reflected across the y-axis

Determine the base of a parallelogram with height 6 5/8 and area 26 1/2

jek_recluse [69]

The area of a parallelogram is found using the equation:

$a = b \times h$

where a is the area, b is the base, and h is the height. Substitute the known values into the equation.

$26 \frac{1}{2} = b \times 6 \frac{5}{8}$

Solve for b.

$26.5 \div 6.625 = b$

$b = 4$

The base of the parallelogram is equal to 4.

I don't know if this is the right answer though lol

7 0

3 years ago

Cody was 165\,\text{cm}165cm165, start text, c, m, end text tall on the first day of school this year, which was 10\%10%10, perc

elena55 [62]

Idk but i am going to say five foot two bc i just say so and yea i just guessed

4 0

3 years ago

$2,500 for 25 years at<br> 2.75% annual simple<br> interest

xxMikexx [17]

Answer:

4,218.75

Step-by-step explanation:

Lets say that P is your starting principal (spelled -pal and not -ple, because Your Money is Your Pal), r is the interest rate (expressed as a decimal), and Y is the number of years you invest. Then your future value will be:

P (1 + rY) (Simple Interest)

P (1 + r)Y (Annually Compounded Interest)

Note the two formulas give the same answer for one year. After that, compound interest takes off.

3 0

3 years ago

Marie, Shelia, and Martha bought snacks for a girl's sleepover. They each bought the items shown in the following table at the l

creativ13 [48]

Using a system of equations, it is found that the unit prices are:

$2.25 for a bag of chips.

$1.50 for a liter of pop.

$1.75 for a chocolate bar.

For the system:

x is the unit price of a bag of chips.

y is the unit price of liter of pop.

z is the unit price for a chocolate bar.

From the table, the equations are:

$2x + 2y + z = 9.25$

$3x + 4y + z = 14.50$

$x + 3y + 3z = 12$

Replacing the <u>first equation on the second and the third:</u>

$z = 9.25 - 2x - 2y$

$3x + 4y + z = 14.50$

$3x + 4y + 9.25 - 2x - 2y = 14.50$

$x + 2y = 5.25$

$x = 5.25 - 2y$

$x + 3y + 3z = 12$

$x + 3y + 3(9.25 - 2x - 2y) = 12$

$-5x - 3y = -15.75$

$5x + 3y = 15.75$

Since $x = 5.25 - 2y$ :

$5(5.25 - 2y) + 3y = 15.75$

$-7y = -10.5$

$y = \frac{10.5}{7}$

$y = 1.5$

Then:

$x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25$

$z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75$

The unit prices are:

$2.25 for a bag of chips.

$1.50 for a liter of pop.

$1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

4 0

2 years ago

ASAP What is the lateral area of this regular octagonal pyramid?? Explain your answer if you can plz thanks

Archy [21]

The lateral area would be 298.7 cm².

The lateral area is the area of all of the lateral faces of the pyramid. There are 8 triangles making up the lateral faces. Each has a base of 6.6. The formula for the area of a triangle is

A=1/2bh,

so we still need the height of the triangle.

The height of each lateral triangle is the slant height of the pyramid. The slant height of the pyramid forms a right triangle with the height of the pyramid and the "radius" as it were of the pyramid. Thus we use the Pythagorean theorem:

8²+8²=h²
64+64=h²
128=h²
√128=√(h²)
8√2 = h

Substituting this into our area formula we have:
A=1/2(6.6)(8√2)

We will go ahead and multiply this by 8, since there are 8 lateral faces:
LA=8(1/2)(6.6)(8√2)
LA = 298.7

3 0

3 years ago

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