Please help me solve this problem

Given :

Two students are taking a maths test.

After 5 minutes, one student is 13 done and the other is 28 done.

To Find :

How much ahead of the second student is the first.

Solution :

Number of questions second student is ahead is :

[tex]n = 28 - 13\\\\n = 15[/tex]

Therefore, second student is ahead by first by 15 questions.

Hence, this is the required solution.

Answer:

Answer is 50g/cm^3

Step-by-step explanation:

soln,

Volume of the gold cube = 9 cm^3

Mass of the gold cube = 450 g

now,

density= mass/volume

=450 / 9

=50 g/cm^3

{Therefore, the density of the gold cube is 50 g/cm^3.}

Answer:

i didnt have this yet

Step-by-step explanation:

Answer:

y = 3/2x + 2

Step-by-step explanation:

let eqn be y = mx + c

m = (5-2)/(2-0) = 3/2

sub (0, 2):

2 = 3/2 (0) + c

c = 2

therefore, the equation is y = 3/2x + 2

Answer:

- 12 /13

Step-by-step explanation:

Given that:

Cot(θ) = 5 /12 ;

Recall ; cot θ = 1 / tan θ ; tan θ = sin θ / cos θ

Hence ;

tan θ = 1 / cot θ

tan θ = 1 ÷ (5 / 12)

tan θ = 1 * 12 /5 = 12/5

Tan θ = opposite / Adjacent = 12 /5

Sin θ = opposite / hypotenus

Hypotenus = √(opposite² + adjacent²)

Hypotenus = √12² + 5²

Hypotenus = √(144 + 25)

Hypotenus = √169

Hypotenus = 13

Hence,

Sin θ = opposite / hypotenus = 12 / 13

pi < theta < 3pi/2 lies in the 3rd quadrant ; SinΘ will be negative ;

Sin θ = - 12 /13

Answer:

A

Step-by-step explanation:

Ed2021

Answer:

If angle a and b are complementary angles, and angle a is 64, complementary equals 90, so 90-64= 26 degrees for angle b.

Angles ∠a and ∠b are complementary angles. Then the measure of the angle ∠b will be 64°.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

The measure of the angle ∠a is 64°. And angles ∠a and ∠b are the complementary angles. Then the equation is given  as,

∠a + ∠b = 90°

64° + ∠b = 90°

∠b = 26°

The measure of the angle ∠b will be 64°.

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Answer:

4.34 lbs

Step-by-step explanation:

6.4-2.06= 4.34

Answer:

Points B and C are opposite

Step-by-step explanation:

0 on the number line marks the center of the number line. To the right on the number line are positive integers and to the left from zero are negative integers.

Points B and C are opposite because they are each half way between 0 and 1 on the right and 0 and -1 on the left

Answer:

b and c are opposites

Step-by-step explanation:

other guy was right

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[tex] \frac{ {a}^{3} - 27 }{ {a}^{2} - 9 } \div \frac{ {a}^{2} + 3a + 9 }{a + 3} = \\ [/tex]

[tex] \frac{ {a}^{3} - 27 }{ {a}^{2} - 9 } \times \frac{a + 3}{ {a}^{2} + 3a + 9 } = \\ [/tex]

[tex] \frac{(a - 3)( {a}^{2} + 3a + 9) }{(a - 3)(a + 3)} \times \frac{a + 3}{ {a}^{2} + 3a + 9 } = \\ [/tex]

[tex] \frac{(a - 3)(a + 3)( {a}^{2} + 3a + 9) }{(a - 3)(a + 3)( {a}^{2} + 3a + 9) } = \\ [/tex]

[tex]1[/tex]

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The correct answer is the first option .

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First, we must determine b using slope-intercept form*, the given point, and the given slope.

[tex]-4 = -\frac{1}{3}(-9) + b\\\\-4 = -3 + b\\\\-1 = b[/tex]

Second, we need to set up the equation of the line in slope-intercept form.

[tex]y = -\frac{1}{3}x - 1[/tex]

Third, we convert the above equation to STANDARD FORM**.

[tex]y = -\frac{1}{3}x - 1\\\\\frac{1}{3}x + y = -1[/tex]

We now have our equation: [tex]\frac{1}{3}x - y = -1[/tex]

*Slope-intercept form: y = mx + b

**Standard form: ax + by = c

Answer:

it would be (5,60)

Step-by-step explanation:

he bought 5 boxes

each box has 12 pencils

5*12=60

Answer:

25 miles per hour

Step-by-step explanation:

divide 150 by 6 to find the unit rate, which is 25 miles per hour.

Answer:

3731.2 pounds

Step-by-step explanation:

Aquarium will hold 4.4 * 2.5 * 5.3 = 58.3 cubic feet of sea water.

For 3 cubic feet of sea water, weight is 192 pounds

For 58.3 cubic feet of sea water,

( 192 * 58.3) / 3 = 11193.6 / 3 = 3731.2 pounds

Answer:

I believe that it is the last answer. have a great day!

Given :

An airplane flying at an altitude of 2600 m is approaching an airport run away located 56 km away.

To Find :

The airplane’s angle of decent.

Solution :

Height of plane, h = 2600 m.

Horizontal distance of airplane from vertices is, d = 56 km = 56000 m.

Let, angle of depression is Ф.

So,

[tex]tan \ \phi = \dfrac{56000}{2600}\\\\tan \ \phi = 21.54\\\\\phi = 87.34^o[/tex]

Therefore, the angle of decent is 87.34°.

Hence, this is the required solution.

Answer:

Your answer is 6.

Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

Answer:

6

Step-by-step explanation:

when you substitute 3 in for x you get 3(3) - 3

solve the equation

3(3) = 9

9 - 3 = 6

Answer:

C = 200p + 400

Step-by-step explanation:

Because C is the cost of a given day, 400 acts as a y-intercept.

400 is the initial fee paid then 200 per each phone manifactured, meaning that 200 is the slope.

Answer:

35 your welcome have a day good

Step-by-step explanation:

Answer:

C=20

Step-by-step explanation:

Pythagorean theorem is a^2 + b^2=c^2. So, a=16, and b=12. 16 squared is 256. 12 squared is 144. 256+144=400. 400=c^2. So, the square root of 400=c. and that is 20.

Answer:

1/4

Step-by-step explanation:

If you type cos(75)cos(15) into a scientific calculator, the answer comes out as 1/4.

The value of the trigonometric expression cos(75)cos(15) is 1/4 after applying the trigonometric identity.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a trigonometric expression:

= cos(75°)cos(15°)

As we know the trigonometric identity:

cos(a)cos(b) = (1/2)[cos(a + b) + cos(a - b)]

a = 75

b = 15

Plug the above values in the trigonometric identity:

cos(75)cos(15) = (1/2)[cos(75 + 15) + cos(75 - 15)]

cos(75)cos(15) = (1/2)[cos(90) + cos(60)]

The trigonometric ratio is the ratio of the pair of a right-angled triangle.

The value of cos90 = 0

cos60 = 1/2

cos(75)cos(15) = (1/2)[0 + 1/2]

cos(75)cos(15) = 1/4

Thus, the value of the trigonometric expression cos(75)cos(15) is 1/4 after applying the trigonometric identity.

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The two given figures are not similar because they are not the same shape. Option D is correct.

Given that,
A figure of two shapes has been shown, we have to discuss why the two shapes are not similar,

In congruent geometry, the shapes that are so identical. can be superimposed to themselves.

Here,
The two shapes are not similar because one is square and the other is a rectangle, There is why both are not the same shape, because they are cyclic and regular shapes their corresponding angles are congruent.

Thus, the two given figures are not similar because they are not the same shape. Option D is correct.

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Answer:

rational

Step-by-step explanation:

A rational number can be expressed in the form

[tex]\frac{a}{b}[/tex] ← where a and b are integers

Given

2.88

= 2 [tex]\frac{88}{100}[/tex]

= [tex]\frac{2(100)+88}{100}[/tex]

= [tex]\frac{288}{100}[/tex] ← in rational form

Answer:

2.88 is a rational number.

Step-by-step explanation:

A rational number is a number that can be expressed as a ratio or fraction. Since we can write 2.88 as a fraction, (72/25) we know that it is a rational number.

Other examples of rational numbers include:

-4

8

9/3

8.28

8.999999999...

Answer: They can be represented in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Step-by-step explanation:

Answer:

- 81.04°F

Step-by-step explanation:

Given the question :

Convert - 62.8°C into F°

Using the conversion formula :

Fº = 1.8 x Cº + 32º

C = - 62.8°

Fº = (1.8 x - 62.8)+ 32º

F° = - 113.04° + 32°

= - 81.04°F

298ºK is the answer

Cº = 77º - 32º / 1.8 = 25º Kº = 25º + 273 Kº = 298º

Answer:

1/8

Step-by-step explanation:

Rate is the change of a quantity per unit time

We are told Sarge completed 1/10 of his report in 4/5 of an hour.

We are going to equate the rate at 4/5hour to that of 1hour to get how much of the report Sarge will complete in 1 hour

(1/10)/x=(4/5)/1

0.10/x=0.8

Make x subject of the formula we have

X=1/8

Hence 1/8 of the report needed to be completed

Answer:

he will have 28 pieces

Step-by-step explanation:

75*3=250

250/8=28

Answer:

yes

Step-by-step explanation:

The function f(x) = x/4 represents a proportional relationship.

Proportional relationships are relationships between two variables where their ratios are equivalent.  A straight line represents a proportional relationship. Mathematically -

y = mx + b

(y - b)/x = m       [m is constant]

or

y = mx

m = y/x               [m is constant]

Given is the following function -

y = x/4

We have -

f(x) = x/4

Now, we know a straight line represents a proportional relationship. The general form of equation representing the proportional relationship is -

y = mx

where -  [m] is constant

y = x/4

y = (1/4)x

On comparing, we get -

m = 1/4

Hence, the function f(x) = x/4 represents a proportional relationship.

Therefore, the function f(x) = x/4 represents a proportional relationship.

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