Which Is Most Likely To Weigh 4 Tons?
A A Watermelon
B A Man
C A Clothes Dryer
D A Helicopter
(30 points)

The correct measurements of the surveyors movement from all the options are; m∠b = 15° and h ≈ 31.28 ft

From the image attached, we see that;

A surveyor found the angle of elevation from the ground to the top from a point = 33°

Now, the surveyor moves 20 ft towards the building and the angle of elevation becomes 48°. This means that ∠A and 48° are supplementary to each other.

Thus;

∠A + 48° = 180°

∠A = 180 - 48

∠A = 132°

From sum of angles in a triangle;

∠B + 33° + 132° = 180°

∠B = 180 - 165°

∠B = 15°

Using sine rule, we know that;

sin 33/C = sin B/20

Thus;

sin 33/C = sin 15/20

Solving for C gives;

C = 42.22

From trigonometric ratios, h/c = sin 48

h = 42.22 sin 48

h = 31.28 ft

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Answer:

2 and 5

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Order the numbers from least to greatest and find the number i n the middle

Answer:

17

Step-by-step explanation:

organize by least to greatest and mark off from each side until you reach the middle. Easy way to remember is that medium is the middle.

Answer:

[tex]\textsf{\sf(a)} \quad y=-\dfrac54x+\dfrac{205}{2}[/tex]

(b)  $46.25

Step-by-step explanation:

When adding a line of best fit, ensure that the number of points above and below the line is about equal.

See attachment for line of best fit.

From inspection of the graph, two points on the line are (10, 90) and (50, 40).  Therefore,

[tex]\textsf{let}\:(x_1,y_1)=(10,90)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(50,40)[/tex]

Calculating the slope of the line:

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{40-90}{50-10}=-\dfrac54[/tex]

Using the point-slope form of linear equation:  [tex]y-y_1=m(x-x_1)[/tex]

(where m is the slope and (x₁, y₁) is a point on the line)

[tex]\implies y-90=-\dfrac54(x-10)[/tex]

[tex]\implies y-90=-\dfrac54x+\dfrac{25}{2}[/tex]

[tex]\implies y=-\dfrac54x+\dfrac{205}{2}[/tex]

(where x is the average monthly temperature in °F and y is the monthly heating costs in dollars)

Substitute x = 45 into the equation found in part (a):

[tex]\implies -\dfrac54(45)+\dfrac{205}{2}=46.25[/tex]

Therefore, the monthly heating cost for a month with an average temperature of 45 °F is approximately $46.25

-9 the first option

When x = - 9, I get same value of 6.7 x 10^-18 to 1 d.p

Hope this helps!

The value of x that satisfies the given equation is -9.

The correct option is (A).

A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the making of mathematics.

As per the given data:

We are given an equation, and we have to find the value of x that satisfies the equation.

We can use the following rule of exponents to find the result of the given equation:

(i) [tex](a^m)^n = a^{m \times n}[/tex]

(ii) [tex]a^m = a^n[/tex] then m = n

For the given equation:

[tex]3^{4x} = 27^{x - 3}\\3^{4x} = 3^{3(x - 3)}\\3^{4x} = 3^{3x - 9}[/tex]

4x = 3x - 9

4x - 3x = -9

x = -9

Hence, the value of x that satisfies the given equation is -9.

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Answer:

C.

Step-by-step explanation:

It is the corner or a point where line segments meet.

Hi!

Your answer is C.

The vertex is the point where two different rays meet, forming an angle.

It can also simply be the point where 2 straight lines simply meet.

Option A is NOT correct because a vertex is not angle, it is a part of an angle.

Option B is NOT correct because, if there's only one segment, we cannot form a vertex.

See the image below for an example:

Answer:

If the left side of the big rectangle is 2m then the right side should be the same. We have 4m

If the bottom of the big rectangle is 9 then the top should also be 9. We now have 22m.

-----------------------------------------------------------------------------------------------------------

The left side of the small rectangle is 2m then so should the right be also 2m. We have 4m.

The top is 3m so the bottom should also be 3m we now have 10m

----------------------------------------------------------------------------------------------------------

If you add 10 + 22 you get 32. 32 is your answer :)

Step-by-step explanation:

Answer: 47 ream papers were used.

Step-by-step explanation:

23,500 divided by 5000 = 47

Hope it helps!

The probability of pulling out an 7up from the ice chest that contains the different drinks is 2/13.

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability of pulling out an 7up = number of 7ups / total number of drinks

2/(8 + 3 + 2)

2/13

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Answer:

[tex]1.003*10^{25}[/tex]

Step-by-step explanation:

We'll be using Avogadro's number which defines the amount of atoms in a mole.
To find the mole amount, we use the atomic mass to find the molar mass because the atomic mass represents how many grams are in a single mole of any element

2 Hydrogen atoms have an atomic mass of 2.016 g

1 Oxygen atom has an atomic mass of 15.999 g

Adding these two numbers gives us H2O's molar mass, which is 18.015 g/mol (grams per mole).

Now we take the supplied mass of 300g and divide it by the mm (molar mass) to find the amount of moles we have. 300/18.015 = 16.653

We have 16.653 moles in 300g of H2O.

Now we have to multiply 16.653 by Avogadro's number, [tex]6.022 * 10^{23}[/tex]

This gives us: [tex]1.003*10^{25}[/tex]

Answer:

4/5

Step-by-step explanation:

0.8   = 8 / 10   = 4/5

Answer:

431.32

Step-by-step explanation:

It is just like multiplying.
  431.32

X     8.2

And you solve it.

Hooped this helped you

Answer:

For every 3 tablespoons of cocoa Nate uses 1 tablespoon of sugar

Step-by-step explanation:

a) 24.7×52.3=1291.81

On rounding off to 3 significant digits we get

1290

b)

[tex] \sqrt{ {42}^{2} - {28}^{2} } [/tex]

[tex] \sqrt{1764 -784 } = \sqrt{980} [/tex]

=31.304951

On rounding off to 5 significant figures we get

=31.305

c)

[tex] \sqrt[3]{78} = 4.27265[/tex]

On rounding off to 2 significant figures we get

=4.3

Hence required answers

a)1290

b)31.305

c)4.3

I hope it helped you

The width of a book is 1.5 inches.

The total width of 79 books is 1.5×79

= 118.5 inches.

The cost of a 34.5 inch wide shelf is $12.95

Therefore, the cost of a 118.5 inch wide shelf will be:

(Let the cost of the 118.5 inch wide shelf be x)

[tex] \frac{34.5}{12.95} = \frac{118.5}{x} \\ cross \: multipy \\ 34.5x = 118.5 \times 12.95 \\ x = \frac{118.5 \times 12.95}{34.5} \\ x = 44.48[/tex]

x= $44.48

The photon's energy (E) is equal to its frequency (f) multiplied by the Planck constant (h).

Planck's constant is the elementary quantum of action. Its unit  is the metre-kilogram-second or Joule second. It is denoted by h and has a value of 6.62607015 × 10⁻³⁴ joule second.

The photon's energy (E) is equal to its frequency (f) multiplied by the Planck constant (h). It is given by:

E = hf

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Answer:

Planck's constant is used to relate the energy in one quantum of electromagnetic radiation to the frequency of that radiation.

Step-by-step explanation:

Have a great rest of your day
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Answer:

The answer is

→ Radius ≈ 4.24ft

Step-by-step explanation:

Given: 320ft³

Were going to use this formula:

[tex]V = \frac{4}{3} \pi r^3[/tex]

Step 1: Solve for r.

Step 2: Round up 4.24314

4.24314 → 4.24

Hence, 4.24ft is your answer.

Answer: 22.5 and -19.5

Step-by-step explanation:

Answer:

-1, -5/6, -2/3, 0, 1 1/3

Step-by-step explanation:

Answer:

-1, -5/6, -2/3, 0, 1 1/3.

Step-by-step explanation:

1 1/3, -5/6, 0, -2/3, -1

The easiest way is to convert them to decimal fractions first:

= 1.333.... , - 0.8333... , 0, -0.666.... , - 1

So in ascending order they are

-1, -0.833.., -0.666... , 0 , 1.333.....

= -1, -5/6, -2/3, 0, 1 1/3.

Answer: hii

✓ 12

Step-by-step explanation:

Simplify the expression.

Hopfully this helps you

-Matthew :)

Answer:

Step-by-step explanation:

Marise has 26 pokemon cards. Marisa claims that he will have 146 or more cards after she receives her shipment of 8 packs of cards.

So, we have to make a unknown value on 8.

Now, we have to find out that unknown value:

There will be 15 cards in Marisa's 8 boxes.

Answer:

D

Step-by-step explanation:

Answer:

Do know sorry I can help but maby

The number of emergency kits that Neil packed in total for the 150 bottles is gotten as; k = 50 kits.

We are told that Neil puts 3 water bottles into each emergency kit packed.

Now, let the number of emergency kits be k.

Thus;

3k = 150

Division property of equality, we have;

3k/3 = 150/3

k = 50

Thus, the number of emergency kits that Neil packed is gotten as k = 50 kits.

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Answer:

Z = 63º

Step-by-step explanation:

X = 180 - 61 - 31 = 88º Angles in a triangle add to 180º

Y = 180 - X = 180 - 88 = 92º Angles in a straight line add to 180º

Z = 180 - 25 - Y = 180 - 25 - 92 = 63º Angles in a triangle add to 180º

So Z = 63º

Answer:

111000

Step-by-step explanation:

3,500

x 18

63000

+ 48000

111000

Answer:

 x = 5, x = 1

Step-by-step explanation:

The quadratic equation 0 = 4(x - 3)2 - 16.

Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.

0 = 4(x2 - 6x + 9 ) - 16.

Using distributive property to multiply 4 by x2 - 6x + 9.

0 = 4x2 - 24x + 36 - 16.

Subtract 16 from 36 to get 20.

0 = 4x2 - 24x + 20.

4x2 - 24x + 20 = 0.

Divide both sides by 4.

x2 - 6x + 5 = 0.

To solve the equation, factor and rewrite as x2 + ax + bx + 5

a + b = -6, ab = 1(5) = 5.

a = -5, b = -1.

Rewriting x2 - 6x + 5 as

(x2 - 5x) + (-x + 5)

Factor x in the first and -1 in the second group.

x(x - 5) - (x - 5)

Factor out common term

(x - 5)(x - 1)

By solving the above, we get

x = 5, x = 1

Answer:

3.22

Step-by-step explanation:

log(18×100)

log18+log100

1.22+2

3.22

The magnitude of this earthquake using the Richter scale is approximately 3.3 (rounded to the nearest tenth).

To calculate the magnitude of the earthquake using the Richter scale, we can use the formula

R = log(A/A₀),

where

A is the amplitude of the earthquake wave, and

A₀ is the amplitude of the standard wave.

If the earthquake wave's amplitude is 1800 times as great as the smallest detectable wave, this means A/A₀ = 1800.

Therefore, the magnitude of the earthquake (R) would be:

R = log(1800)

Let's calculate it:

R ≈ log₁₀(1800) ≈ 3.255

So, if we round this to the nearest tenth, the earthquake's magnitude on the Richter scale would be approximately 3.3.

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