A wooden box has the shape of a rectangular prism. The inside of the box is also a rectangular prism. What is the volume of the solid part of the box? Enter your answer below.

Answer:

x = 55° (nearest degree)

Step-by-step explanation:

Trig ratios:

[tex]sin(\theta)=\dfrac{O}{H} \ \ \ cos(\theta)=\dfrac{A}{H} \ \ \ tan(\theta)=\dfrac{O}{A} \ \ \[/tex]

where [tex]\theta[/tex] is the angle, O is the side opposite the angle, A is the side adjacent to the angle, and H is the hypotenuse of a right triangle

Given:

[tex]\implies cos(x)=\dfrac{3.3}{5.7}[/tex]

[tex]\implies x=\arccos \dfrac{3.3}{5.7}=54.623459...[/tex]

⇒ x = 55° (nearest degree)

Answer:

54.6° OR 55° rounded up.

Step-by-step explanation:

So it is a fact that 3.3 is adjacent to x. And 5.7 is the hypotenuse.

Now, let's think of SOHCAHTOA: *Always remember that*

SOH: Sin = Opp/Hyp

CAH: Cos = Adj/Hyp

TOA: Tan = Opp/Adj

We will be using CAH since we have the adjacent and the hypotenuse.

Now, you need to plug in the numbers to the correct placement, in this case, it will look like this:

Cos(x) = 3.3/5.7

*If I were you, I'd use a Cosine calculator online or just your handy-dandy standard calculator because you can't just plug in 3.3/5.7 like that and expect to get the answer.*

*In order to find the cosine on a regular calculator, you must press the inverse button, followed by the cos button. Or just use the "arccos" button if it's on there*

REMEMBER SOHCAHTOA FOR THE FUTURE

Clockwise from the top left, the angles are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, ∠8 are 96°, 84°, 96°, 84°, 56°, 124°, 56°, 124° respectively. Then the correct option is A.

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

In the diagram, the measure of angle ∠8 is 124°, and the measure of angle ∠2 is 84°.

Angle ∠1 and ∠2 are supplement angles.

∠1 + ∠2 = 180°

∠1 + 84° = 180°

        ∠1 = 96°

Similarly, angles ∠7 and ∠8 are supplement angles.

∠7 + ∠8 = 180°

∠7 + 124° = 180°

          ∠7 = 56°

By the property of the opposite angles, we have

∠1 = ∠3 = 96°

∠2 = ∠4 = 84°

∠5 = ∠7 = 56°

∠6 = ∠8 = 124°

Clockwise from the top left, the angles are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, ∠8 are 96°, 84°, 96°, 84°, 56°, 124°, 56°, 124° respectively.

Then the correct option is A.

More about the angled link is given below.

https://brainly.com/question/15767203

Answer:

Clockwise from the top left, the angles are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, ∠8 are 96°, 84°, 96°, 84°, 56°, 124°, 56°, 124° respectively. Then the correct option is A.

What is an angle?

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

In the diagram, the measure of angle ∠8 is 124°, and the measure of angle ∠2 is 84°.

Angle ∠1 and ∠2 are supplement angles.

∠1 + ∠2 = 180°

∠1 + 84° = 180°

       ∠1 = 96°

Similarly, angles ∠7 and ∠8 are supplement angles.

∠7 + ∠8 = 180°

∠7 + 124° = 180°

         ∠7 = 56°

By the property of the opposite angles, we have

∠1 = ∠3 = 96°

∠2 = ∠4 = 84°

∠5 = ∠7 = 56°

∠6 = ∠8 = 124°

Clockwise from the top left, the angles are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, ∠8 are 96°, 84°, 96°, 84°, 56°, 124°, 56°, 124° respectively.

Then the correct option is A.

More about the angled link is given below.

brainly.com/question/15767203

The formed triangle is not right angled triangle. The area of circle is 19.64 square units.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The area of circle is -

A = πr² = π(d/2)²

A vector is represented by -

A = A[x] i + A[y] j + A[z] k

We have the following problem -

The corners of triangle PQR lie on a circle. PQ = 3i + 4j and PR = -8i + 6j.

|PQ| = 5 units

|PR| = 10

PR + RQ = PQ

RQ = PQ - PR

RQ = 11i - 2j

|RQ| = 11.18

It can be seen that it is not a right angled triangle.

Equation of the diameter of the circle -

y = 4/3x {Assuming it pass through origin}

Diameter length = 5

Radius length = 5/2

Area of circle = 22/7 x 5/2 x 5/2 = 19.64 square units.

Therefore, the formed triangle is not right angled triangle. The area of circle is 19.64 square units.

To solve more questions on straight lines, visit the link below-

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Answer:

8

Step-by-step explanation:

8 x 8 = 64

Since the exponent 2 means to multiply by itself, 8 would be the most logical solution.

(sorry if this is a bad explanation, I'm not sure how to explain it any better)

Answer:

The 4th shape (rectange) is a parallelogram.

Step-by-step explanation:

Rectangle also has opposite sides equal and parallel. The difference between the two is that sides of rectangles form 90° while that of parallelogram don't. So rectangle can be called a parallelogram because they fulfill all the requirement of a parallelogram.

Answer:

Use protractor to measure B

I think the measure of a is acute angle

Step-by-step explanation: 20/100 × x =60

1/5 × x = 60

× = 300

brainliest please

Answer:

x = 300

Step-by-step explanation:

i hope this helps! have a wonderful rest of ur day :)

and if its not too much to ask could you mark me as brainliest pls, im trying to rank up by the end of the month and i only need 2 more, if not its ok! ty and let me know if theres anything else you need help with!!

Answer: (1, 5)

Step-by-step explanation:

[tex]\left(\frac{-3+5}{2}, \frac{3+7}{2} \right)=\boxed{(1, 5)}[/tex]

Answer:

the answer is 4.7

Step-by-step explanation:

you calculate the height and the weight and it will equal 4,712.388980, to the nearest tenth equals 4.7

hope it helps!

Answer:

you are right

Step-by-step explanation:

Answer:

negative and increasing

Step-by-step explanation:

The graph in the interval b to c is below the x- axis and is therefore negative,

from b to c the slope of the curve is positive so it is increasing

Answer:

7 x 2.6

Step-by-step explanation:

the square root of 7 is exactly 2.645751311064591, so in this case I converted it to a smaller number, using tenths place.

solution:

7 x 2.6 = 18.2

Answer:

[tex] {7}^{ \frac{3}{2} } [/tex]

Step-by-step explanation:

[tex] \sqrt{7} \: can \: also \: be \: written \: as \: {7}^{ \frac{1}{2} } [/tex]

We can use this information to rewrite the original expression:

[tex]7 \times {7}^{ \frac{1}{2} } [/tex]

7 can also be written as

[tex] {7}^{1} [/tex]

Remember that when multiplying exponents, if they have the same base, we can add the exponents. Therefore:

[tex] {7}^{1} \times {7}^{ \frac{1}{2} } \\ {7}^{1 + \frac{1}{2} } \\ {7}^{1 \frac{1}{2} } \\ {7}^{ \frac{3}{2} } [/tex]

Answer:

D.

Step-by-step explanation:

it has an x-intercept of –3 and a y-intercept of -4

Answer:

d

Step-by-step explanation:

look at d for a second, just find along the y line where -4 is at and where -3 is at on the x intercept

Answer:

Step-by-step explanation:

I don't see the choices, but I will make the equations that seems to be correct to me.

Known facts:

Let's make the equations:

m + n = 4.5

35m + 60n = 225

Hope that helps!

Answer:

26

Step-by-step explanation:

Box 1 = 3 x 3 = 9

Box 2 = 2 x 7 = 17

total = 17 + 9 = 26

Answer:

[tex]\huge\boxed{\sf{Circumference=30.5; \:in\:terms\:of\:pi:\:16\pi }}[/tex]

Step-by-step explanation:

Hello.

Formula for Circumference:

C=2πr, where r = radius

Plug in the values:

C=2π×8

C≈50.3 (rounded to the nearest tenth)

The ≈ sign means "approximately equal to"

In terms of pi:

C=2×8 π

C=16π

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

A. 8

Step-by-step explanation:

The angle shown is a 90 degree right angle (shown by the box where the vertex is)

We see that the first angle inside the right angle is 50 degrees, so the other angle must be 40 because the degrees must add up. We can set up an equation here.

[tex]5x=40[/tex]

After dividing both sides by 5, we get x = 8

The area of the composite figure is 70 cm^2

The area of the figure = area of rectangle + area of a triangle

Area of rectangle = length * width
Area of rectangle = 10 * 5
Area of rectangle = 50 square centimeters

Area of triangle = 0.5(5)(8)

Area of triangle = 20 square cm

Area of the figure = 50 + 20
Area of the figure  = 70 square cm

Hence the area of the composite figure is 70 cm^2

Learn more on area of composite figure here: https://brainly.com/question/21135654

Answer:The solution is in the attached file

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Please mark brainlest

Answer:

A

Step-by-step explanation:

π[tex]\sqrt{3}[/tex] - 8π[tex]\sqrt{3}[/tex] ← factor out [tex]\sqrt{3}[/tex] π from each term

= [tex]\sqrt{3}[/tex] π (1 - 8)

= [tex]\sqrt{3}[/tex]π (- 7)

= - 7[tex]\sqrt{3}[/tex] π → A

45% of 78 = [tex]\frac{45}{100}*78 = 35.1[/tex]

Hope that helps!

Answer:

0

Step-by-step explanation:

6x-12-6x+12=

0x-12+12=0

Answer:

10 gallons

Step-by-step explanation:

Multiply 20 by 1/2.

20 x 1/2 = 10

Hope it helps!

Let me know if it doesn't, I can make it right.

Answer:

11.20cm

11 cm=the height of the cylinder

Answer:c

Step-by-step explanation:

You add 6 to the x side

Answer:

[tex](2x + 5) * (x^{2} + 6x - 10)\\= 2x (x^{2} + 6x - 10) + 5 (x^{2} + 6x - 10)\\= 2x^{3} + 12x^{2} - 20x + 5x^{2} +30x - 50\\= 2x^{3} + 12x^{2} + 5x^{2} - 20x + 30x - 50\\= \boxed{2x^{3} + 17x^{2} + 10x - 50}[/tex]

Hope it helps ⚜

[tex](2x + 5) × (x² + 6x − 10)[/tex]

[tex]\bold\pink{↪}\small\bold\red{2x(x² + 6x − 10) +5(x² + 6x − 10)}[/tex]

[tex]\bold\pink{↪}\bold\red{2x³ + 12x² - 20x + 5x² + 30x - 50}[/tex]

[tex]\bold\pink{↪}\bold\red{2x³ + 12x² + 5x² - 20x + 30x - 50}[/tex]

[tex]\bold\pink{↪}\bold\red{2x³ + 17x² + 10x - 50}[/tex]

Answer:

120

Step-by-step explanation:

5 factorial

There are total 120 ways to arrange the letters of word "COUNT".

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

[tex]nP_{r} =\frac{n!}{(n-r)!}[/tex]

Where,

P is the number of arrangements.

r is the of objects selected.

n is the total numbers of object.

According to the question.

We have a word "COUNT".

Total number of letters in word "COUNT" is 5.

⇒ Total number of objects, n = 5

Since, we have to form different words by using 5 letters of count.

⇒ Total number of objects we have to select, r = 5

Therefore, the total number of ways to arrange the letters of "COUNT" is given by

[tex]5P_{5}=\frac{5!}{(5-5)!}[/tex]

⇒[tex]5P_{5} =\frac{5!}{0!}[/tex]

⇒[tex]5P_{5} =\frac{5!}{1}[/tex]      (because,0! = 1)

⇒[tex]5P_{5} = 5(4)(3)(2) = 120 ways[/tex]

Hence, there are total 120 ways to arrange the letters of word "COUNT".

Find out more information about permutation here:

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It would equal

6a^2-19a-20

Answer:

6a^2−25a−25 this is the answer to number 5

A 2-column table that has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25.

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

We know about the probability, therefore, let's find the probability of each of the cases.

When the number of success of the spinner landing on blue is none, therefore, the spinner does not land on the blue color at all.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Now, as it is given that there is only one case when the spinner does not land on the blue side(RR) in the set, S = {RR, RB, BR, BB}. therefore,

[tex]\rm{Probability(X=0)=\dfrac{1}{4} = 0.25[/tex]

When the number of success of the spinner landing on blue is just once, therefore, the spinner does land on the blue color only once out of the two spin.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Now, as it is given that there are two cases when the spinner does land on the blue side(RB, BR) in the set, S = {RR, RB, BR, BB}. therefore,

[tex]\rm{Probability(X=1)=\dfrac{2}{4} = 0.25[/tex]

When the number of success of the spinner landing on blue is twice, therefore, the spinner does land on the blue color both the times the spinner is spun.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Now, as it is given that there is only one case when the spinner does land on the blue side twice(BB) in the set, S = {RR, RB, BR, BB}. therefore,

[tex]\rm{Probability=\dfrac{1}{4} = 0.25[/tex]

Now, if we draw the table of the data and the probability we will get the following table,

x             P(X)

0           0.25

1            0.50

2           0.25

Hence, the table that is correct is table A, which is  A 2-column table that has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25.

Learn more about Probability:

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Answer:

its A

Step-by-step explanation: