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3 years ago

Solve z−3=13. Z= | | \__/

Mathematics

2 answers:

Lesechka [4]3 years ago

7 0

Z=16 because if you reverse it and go 13+3=z you get 16

DochEvi [55]3 years ago

3 0

answer z=16....................................

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Sweets are sold loose or pre packed in 120 G bags. The 120 G bags are 1.49 pounds each By calculating the price per gram determi

Karo-lina-s [1.5K]

Complete question :

Sweets are sold loose, or pre-packed in 120g bags.The 120g bags are £1.49 each.The loose sweets are £0.89 for 100g.

By calculating the price per gram, determine which is better value.

Answer:

100 g bag

Step-by-step explanation:

For the 120g bag:

Price per gram :

Price / Numbe of gram

1.49 / 120 = 0.0124 gram per bag

For the 100 g bag :

0.89 / 100

= $0.0089per gram

Since $0.0089 is < $0.0124

Then the 100g bag is of better value

8 0

3 years ago

What is the most precise classification of the quadrilateral formed by connecting in order the midpoints of the figure below? Sh

AlekseyPX

Answer:

Rhombus

Step-by-step explanation:

The given trapezoid has vertices at M(-4,0), J(-2,4), K(2,4), and L(4,0).

Use the midpoint formula: $(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

To obtain the midpoint of MJ:

$A=(\frac{-4+-2}{2},\frac{0+4}{2})=(-3,2)$

Similarly, the midpoint of of JK is B=(0,4), the midpoint of KL is C=(3,2), and the midpoint of LM is D=(0,0).

Now use the slope formula;

$m=\frac{y_2-y_1}{x_2-x_1}$

To find the slope of AB = $\frac{4-2}{0--3}=\frac{2}{3}$

The slope of BC = $\frac{2-4}{3-0} =-\frac{2}{3}$

The slope of CD= $\frac{0-2}{0-3}=\frac{2}{3}$

The slope of AD= $\frac{0-2}{0--3}=-\frac{2}{3}$

We can see that the slope of the opposites sides are parallel, CD is parallel to AB and AD is parallel to BC.

The product of the slopes of the adjacent sides is not -1.

Hence the shape formed by connecting the midpoint of the isosceles trapezoid is a parallelogram.

Obviously the side lengths are equal since we connected all midpoints.

The parallelogram is a rhombus.

7 0

3 years ago

a bottle of wine costs 10 $. the wine is worth 9 $ more than the bottle, how much is the bottle worth?

Archy [21]

$10 - $9 = $1

Total - Wines price = Bottle's price

4 0

3 years ago

Evaluate the following iterated integral by converting to polar coordinates.

saul85 [17]

Looks like the integral is

$\displaystyle\int_{-8}^8\int_0^{\sqrt{64-x^2}}\sin(x^2+y^2)\,\mathrm dy\,\mathrm dx$

The integration region is the upper half of a circle in the <em>x</em>-<em>y</em> plane centered at the origin with radius 8. So, in polar coordinates, the integral is

$\displaystyle\int_0^{2\pi}\int_0^8r\sin(r^2)\,\mathrm dr\,\mathrm d\theta=2\pi\int_0^8r\sin(r^2)\,\mathrm dr$

$=\pi\displaystyle\int_0^{64}\sin s\,\mathrm ds$

where we substituted $s=r^2$ and $\mathrm ds=2r\,\mathrm dr$ , which gives

$=\boxed{\pi(1-\cos(64))}$

6 0

3 years ago

Please help surface area

mars1129 [50]

Answer:

490

Step-by-step explanation:

3 0

3 years ago