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1 year ago

Aliya lined up the interior angles of the triangle along line p below

Mathematics

1 answer:

Ivenika [448]1 year ago

4 0

Answer:

it also increases

Step-by-step explanation:

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You have 896 grams of a radioactive

Margarita [4]

Every 56 seconds, the radioactive substance is divided in half.

224 / 56 = 4

We need to cut the substance in half 4 times.

896 / 2 = 448

448 / 2 = 224

224 / 2 = 112

112 / 2 = 56

After 224 seconds, there will be 56 grams of the radioactive substance left over

7 0

2 years ago

Read 2 more answers

What is the formula for strontium phosphide

Orlov [11]

The formula for strontium phosphide is Sr3(PO4)2.

Hopefully this helps! :)

6 0

3 years ago

Find the base and height of a rectangle with vertices (-4,7), (-2,7), (-2,1), and (-4,1).

Salsk061 [2.6K]

Answer:

The height is 6 unit

The base is 2 units.

Step-by-step explanation:The given rectangle has vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1).

3 0

2 years ago

Find the approximate area between the curve f(x) = -4x² + 32x and on the x-axis on the interval [0,8] using 4 rectangles. Use th

Doss [256]

Split up the interval [0, 8] into 4 equally spaced subintervals:

[0, 2], [2, 4], [4, 6], [6, 8]

Take the right endpoints, which form the arithmetic sequence

$r_i=2+\dfrac{8-0}4(i-1)=2i$

where 1 ≤ <em>i</em> ≤ 4.

Find the values of the function at these endpoints:

$f(r_i)=-4{r_i}^2+32r_i=-16i^2+64i$

The area is given approximately by the Riemann sum,

$\displaystyle\int_0^8f(x)\,\mathrm dx\approx\sum_{i=1}^4f(r_i)\Delta x_i$

where $\Delta x_i=\frac{8-0}4=2$ ; so the area is approximately

$\displaystyle2\sum_{i=1}^4(-16i^2+64i)=-32\sum_{i=1}^4i^2+128\sum_{i=1}^4i=-32\cdot\frac{4\cdot5\cdot9}6+128\cdot\frac{4\cdot5}2=\boxed{320}$

where we use the formulas,

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

6 0

2 years ago

Ivan wants to fill with foam the empty space left in a cube-shaped box after he places a basketball in the box. How many cubic i

Ann [662]

Answer:

280 cubic inches

Step-by-step explanation:

Cubic inches of foam required = volume of the box - volume of the basketball

The box has a shape of a cube, so that;

volume of the box = $l^{3}$

where l is the length of the sides of the box.

volume of the box = $9^{3}$

= 729 cubic inches

volume of the box = 729 cubic inches

The basketball has the shape of a sphere, so that;

volume of the basketball = $\frac{4}{3}$ $\pi$ $r^{3}$

= $\frac{4}{3}$ x 3.14 x $(4.75)^{3}$

= 448.693

volume of the basketball = 448.693 cubic inches

Thus,

cubic inches of foam required = 729 - 448.693

= 280.307

The cubic inches of foam to be used is 280 cubic inches.

6 0

2 years ago