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2 years ago

8

The bakery packages 8 of the chocolate spheres into a box .If the density of the chocolate is 1.308 g/cm3 ,what is the total mas

s of the chocolate in the box

1 answer:

DanielleElmas [232]2 years ago

5 0

Answer:

m=DxV. 1.308x8= 10.464

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What is SV? Put the answer down below.

viktelen [127]

The measure of length SV is 60 units

<h3>Isosceles Right Triangle</h3>

An Isosceles right triangle is a right triangle that has equal opposite and adjacent sides.

The above means that:

$SV = ST$

Substitute values for SV and ST

$2z = z + 30$

Subtract z from both sides

$z = 30$

From the figure, we have:

$SV = 2z$

Substitute 30 for z

$SV = 2 \times 30$

$SV = 60$

Hence, the measure of length SV is 60 units

Read more about isosceles right triangle at:

brainly.com/question/3956010

8 0

2 years ago

Ipatiy [6.2K]

There are several ways two triangles can be congruent.

$\mathbf{AC = BD}$ <em> congruent by SAS</em>
$\mathbf{\angle ABC \cong \angle BAD}$ <em> congruent by corresponding theorem</em>

In $\mathbf{\triangle AOL}$ and $\mathbf{\triangle BOK}$ (see attachment), we have the following observations

$1.\ \mathbf{AO = DO}$ --- Because O is the midpoint of line segment AD

$2.\ \mathbf{BO = CO}$ --- Because O is the midpoint of line segment BC

$3.\ \mathbf{\angle AOB =\angle COD}$ ---- Because vertical angles are congruent

$4.\ \mathbf{\angle AOC =\angle BOD}$ ---- Because vertical angles are congruent

Using the SAS (<em>side-angle-side</em>) postulate, we have:

$\mathbf{AC = BD}$

Using corresponding theorem,

$\mathbf{\angle ABC \cong \angle BAD}$ ---- i.e. both triangles are congruent

The above congruence equation is true because:

<em>2 sides of both triangles are congruent</em>
<em>1 angle each of both triangles is equal</em>
<em>Corresponding angles are equal</em>

See attachment

Read more about congruence triangles at:

brainly.com/question/20517835

3 0

2 years ago

Determine whether the series is convergent or divergent.

elixir [45]

Answer:

Step-by-step explanation:

Test for convergence or divergence of a series using Comparison test

Function.

Σ Sin(1/n). From n= 1 to n=∞

Comparison test states that

Let, 0 ≤ an ≤ bn

For all n

Then, if

Σbn converges then, Σan converge

Σan diverges then, Σbn diverge

I.e if the small series diverges, then, the big series diverges and if the big series converges then, the small series converges.

Let compare the given function to 1/n

1/n is greater than Sin(1/n)

0 ≤ Sin(1/n) ≤ 1/n

1/n is a positive number and it is always greater than 1.

We know that 1/n diverse from p series

P series says that,

Σ 1/n^p

If p≤1 then the series diverges

If p>1 the series converges

So when we compare this to 1/n, then p is equal to 1, therefore, the series diverges.

Now, comparing this to the comparison thereom

Since, the large series bn diverges, then the smaller series an diverges.

Then,

Σ 1 / n diverges implies that.

Σ Sin(1/n) diverges too

5 0

3 years ago

A leaking pond loses 20 gallons of water in 49 hours. How many gallons of water will it lose in 5 hours? Round to one decimal pl

White raven [17]

Answer:

12.25

Explanation

49/20 <em><u>(which is the same as (</u></em><em><u>4</u></em><em><u>9</u></em><em><u>÷</u></em><em><u>2</u></em><em><u>0</u></em><em><u>))</u></em><em><u> </u></em>=2.45

<em><u>Multiply</u></em><em><u> </u></em><em><u>2</u></em><em><u>.</u></em><em><u>4</u></em><em><u>5</u></em><em><u> </u></em><em><u>by</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>amount</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>hours</u></em><em><u> </u></em><em><u>(</u></em><em><u>5</u></em><em><u>)</u></em><em><u> </u></em>

$2.45 \times 5 = 12.25$

=12.25

5 0

2 years ago

Read 2 more answers

Evaluate. 12⋅(4−2/4−4)

Zielflug [23.3K]

I think it's B I'm not sure tho

5 0

2 years ago

Read 2 more answers