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ch4aika
3 months ago
15

The rectangular boat shown below has base dimensions 10.0 cm × 8.0 cm. Each cube has a mass of 40 g, and the liquid in the tank

has a density of 1.0 g/mL. How far has the boat sunk into the water?
Boat with cubes
A. 3.2 cm
B. 4.0 cm
C. 4.8 cm
D. 8.0 cm
Mathematics
1 answer:
Zina [12.3K]3 months ago
7 0

Answer:

C

Step-by-step explanation:

:)

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What are the eight-digit grid coordinates for benchmark 86 (circled in red)?
lawyer [12517]

Answer:

An eight-digit grid coordinate allows for precision within 10 meters.

Step-by-step explanation:

Grid coordinates are designed to direct accurately to a specific location by using a map that includes equally spaced vertical and horizontal lines, each assigned numbers to outline a place. The intersection of these vertical and horizontal lines has unique identifiers and creates small sections called grid squares.

The precision increases with the number of digits in the coordinate; an eight-digit designation gives accuracy to the nearest 10 meters.

3 0
3 months ago
How much profit was generated by the sales of gold label and black label combined?
lawyer [12517]
The profit produced by combining sales of gold label and black label equals the total of their individual profits. From the table \begin{array}{ccc}&\text{Number of bottles sold}&\text{Average profit (per bottle)}\\\text{Gold label}&1,000&\$2.75\end{array} you find the gold label's profit 1,000\cdot \$2.75=\$2,750. and similarly from another table \begin{array}{ccc}&\text{Number of bottles sold}&\text{Average profit (per bottle)}\\\text{Black label}&2,000&\$1.50\end{array} find the black label's profit 2,000\cdot \$1.50=\$3,000.. Adding these yields \$2,750+\$3,000=\$5,750.. Thus, option 5 is the correct choice.
8 0
3 months ago
Read 2 more answers
Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC
Svet_ta [12734]

We are given the triangle

△ABC, with m∠A=60° and m∠C=45°, and AB=8.

To start, we will calculate all angles and sides.

Finding angle B:

The total of all angles in a triangle equals 180.

m∠A + m∠B + m∠C = 180.

Substituting the known values,

60° + m∠B + 45° = 180.

This gives us m∠B = 75°.

Calculating BC:

Using the law of sines,

\frac{AB}{sin(C)}=\frac{BC}{sin(A)}

We can substitute in the values.

\frac{8}{sin(45)}=\frac{BC}{sin(60)}

BC=\frac{8}{sin(45)} \times sin(60)

BC=9.798

Finding AC:

\frac{AB}{sin(C)}=\frac{AC}{sin(B)}

Now we'll input the values.

\frac{8}{sin(45)}=\frac{AC}{sin(75)}

AC=\frac{8}{sin(45)} \times sin(75)

AC=10.928

Calculating Perimeter:

p=AB+BC+AC

We substitute values here as well.

p=10.928+8+9.798

p=28.726

Calculating Area:

Using the area formula,

A=\frac{1}{2}AB \times AC \times sin(A)

we can then insert values.

A=\frac{1}{2}8 \times 10.928 \times sin(60)

A=37.85570...............Answer

6 0
3 months ago
Read 2 more answers
44 students completed some homework and the histogram shows information about the times taken. Work out an estimate of the inter
tester [12383]

1.4×5=7

0.8×10=8

1.4×10=14

1×15=15

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44÷4=11

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UQ= 29 minutes

The Range is 19 minutes

Detailed breakdown:

Commence with the individual boxes. For determining the number of students in each category, calculate Frequency density × The difference in the category. (if it's 5-15, the difference is 10)

This results in the counts of students in each range.

Next, determine the LQ of 44, which is 11.

Then locate the 11th student's score; in this instance, it resides in the 5-15 range. 7 students have already surpassed it, with 8 in the 5-15 range. Hence, the 11th lies within the bounds of 5-15, making the middle 10.

Repeat this process for the UQ.

The interquartile range is calculated as UQ-LQ, yielding 29-10=19 minutes.

I hope this helps, though I'm not entirely sure if my explanation is coherent and I'm unclear on the terminology I've used for these categories.

6 0
1 month ago
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