The picture below shows the path a bon flies from the top of a 9.5 foot tall sunflower to a point
on the ground 5 feet away. What is the measure of angle x that the sunflower makes with the
ground?

Check the picture below.

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+80}t\stackrel{\stackrel{c}{\downarrow }}{+96} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{ 80}{2(-16)}~~~~ ,~~~~ 96-\cfrac{ (80)^2}{4(-16)}\right) \implies \left( - \cfrac{ 80 }{ -32 }~~,~~96 - \cfrac{ 6400 }{ -64 } \right) \\\\\\ \left(\cfrac{5}{2}~~,~~96+100 \right)\implies \stackrel{highest~point}{\stackrel{\qquad ~~ \downarrow }{\left(2\frac{1}{2}~~,~~196 \right)}}[/tex]

The statement that is true for all the problems is " The last step is always to subtract.". Option B.  This is further explained below.

Generally, Arithmetic is simply defined as the area of mathematics concerned with the study and manipulation of numbers and their properties.

In conclusion, "The final step is always to subtract." is the universally true solution to the difficulties.

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Answer: B & D

Step-by-step explanation: I did this assignment.

Answer:

Step-by-step explanation:

You will need to know the   gram weight per mole from the periodic table for the element  ( or the molecule of elements) in question.

Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

The greatest common factor is the value that will divide an expression without leaving a remainder.

Given the expression 21xy + 14y

Find the factors

21xy = 7 * 3 * x * y

14y = 7 * 2* y

From the factors above, it is clear that 7 and y are the greatest common factors.

Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

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Factor out

So

Now factor up

Option B

Answer:

This is your teacher if you do this again, I will contact your parents and you will get in big trouble.

Step-by-step explanation:

[tex]2\sqrt[3]{3} \cdot 3\sqrt 2\\\\=6 \cdot \sqrt[3]{3} \cdot \sqrt 2\\\\=6\cdot 3^{\tfrac 13} \cdot 2^{\tfrac 12}\\\\\approx 12.24[/tex]

Answer:

11.25

Step-by-step explanation:

6 3/4 + 4 1/2

Answer:

0.0001 or 1/10000 or 1 ten thousandths

Step-by-step explanation:

The 1 is 4 places after the decimal point so has a value of :

0.0001 or 1/10000 or 1 ten thousandths

Hope this helped and have a good day

The volume of the given rectangular pyramid.

[tex]\large\boxed{Formula:V=\frac{1}{3}lbh}[/tex]

First, multiply the length (5), breadth (4) and height (3).

[tex]5×4×3[/tex]

[tex]= 60 \: cm [/tex]

Now, divide 60 by 3.

[tex]\frac{60}{3}[/tex]

[tex]\large\boxed{V= 20 \: {m}^{3}}[/tex]

Therefore, the volume of the given rectangular pyramid is 20 cubic meters.

Answer:

10.4

Step-by-step explanation:

√(5--5)²+(0-3)²

√100+9

√109=10.4

The answers are 8 and 2

A function is an equation that establishes a relationship between two or more variables.

Analysis:

r(x) x s(x) = 2[tex]\sqrt{x}[/tex] x [tex]\sqrt{x}[/tex] = 2x

r2(4) = 2 x 4 = 8

r(x)/s(x) = 2[tex]\sqrt{x}[/tex]/ [tex]\sqrt{x}[/tex] = 2

In conclusion, the values of the product and quotient of the functions are 8 and 2 respectively.

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Answer:

your answer is option C

Step-by-step explanation:

hope you can understand

Answer:

The answer is indeed C, (x + 7)2 + (y − 6)2 = 50

Step-by-step explanation:

Got it right on edmentum/plato, the other guy is correct. Give him brainliest!

Answer:

it costs rupee 3000 of 50 such pens

Explanation:

first, you have to multiply 50 x 60 which is 3000

second, two dozens of pens, right? so i add double 25 up which is 50 pens.

hope it helps and stay safe! (brainliest me pls)

The area of the circle inside the square shape is 200.96 cm²

The length of the square is given as:

L = 16 cm

This represents the diamater (d) of the circle.

The area of the circle is then calculated as:

Area = π(d/2)²

This gives

Area = 3.14 * (16/2)²

Evaluate

Area = 200.96

Hence, the area of the circle is 200.96 cm²

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Answer:

hope you can understand

The surface area of this 3d character based off the illustration will be 289.

It should be noted that the surface area simply means the amount of space that covers the outside of a shape.

Here the length of the shape is 17 and the width is also 17 as well. It should be noted that the width and length are determined by looking at the axis of the shapes drawn.

In this case, the area will be:

Length × Width

= 17 × 17

= 289

In conclusion, the surface area is 289.

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Answer:

80,202 = 8.0202 × 10⁴

The original volume of the gas was 9.0 liters.

Proportion is a mathematical expression of quantities in their rate form.

Analysis:

If 6 liters of the gas has a pressure of 4 atmosphere.

Then 1 atmosphere of the gas is 6/4 liters

Therefore 6 atmospheres = 6/4 x 6 = 9.0 liters

In conclusion, the Original volume of the gas was 9.0 liters

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Answer:

angleEAF=angleBAC (शिर्षभिमुख कोण भएर)

10x+90+5x=180 (सरल कोण भएर)

or, 15x+90=180

or, 15x=180-90

or, 15x=90

or, x=90÷15

or, x=4

Answer:

x=6

Step-by-step explanation:

90°+5x+10x=180°

90°+15x=180°

15x=180°-90°

15x=90°

x=90/15

=6

10×6=60

5×6=30

60°+30°=90°

90°+90°=180°

x=6 QED

Answer:

see the attachment photo!

the scale says that each unit (cm/km/in/...) on the map is 150,000 times that unit so:

14cm on the map

= 150,000×14cm

= 2,100,000 cm

= 2100 km

(= 2.1 Mm)

There are no outliers in the dataset of the heights in feet of 25 trees

The sorted dataset is given as:

25, 27, 33, 34, 34, 34, 35, 37, 37, 38, 39, 39, 39, 40, 41, 45, 46, 47, 49, 50, 50, 53, 53, 54, 54

Outliers are relatively far from other elements of the dataset.

The highest and the least elements are 54 and 25, respectively.

Other elements of the dataset are relatively close to these two elements

Hence, there are no outliers in the dataset of the heights in feet of 25 trees

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Answer:

difference quotient

Step-by-step explanation:

[tex]|\Omega|=12^2=144\\|A|=4^2+3^2+5^2=16+9+25=50\\\\P(A)=\dfrac{50}{144}=\dfrac{25}{72}\approx35\%[/tex]

Answer:

I have no clue, cant lie to you. God Bless you though.

Step-by-step explanation:

Answer:

She would have received $5.49 change

Answer:

$5.49 ~$5.50

Explanation: $20 - $15.51 = $5.49 therefore you have to round off which would initially equal to $5.50

Answer:

#16 play basketball and football

Option B is the correct answer.

The sum of 17 terms of the given arithmetic sequence is 1003.

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.

Here, given sequence :

  11, 17, 23, 29, 35, ......

first term a = 11

common difference d = 17 - 11 = 6

n = 17

Sₙ = n/2 {2a + (n-1)d}

S₁₇ = 17/2 { 2 X 11 + (17-1)X6}

S₁₇ = 17/2 { 22 + 16 X 6}

S₁₇ = 17/2 X 118

S₁₇ = 17 X 59

S₁₇ = 1003

Thus, the sum of 17 terms of the given arithmetic sequence is 1003.

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Answer:

1120π grams

==> 3518.58 grams  using value of π = 3.14159 or

==> 3520 grams using value of π = 22/7

Step-by-step explanation:

Volume of a cylinder = πr²l where r is the radius of the base and h is the length of cylinder

The diameter of the cylinder, d = 8cm and radius = d/2 = 4cm

Length = 1 meter = 100 cm

Here, volume V = π.4².100 =  π x 16 x 100 = 1600π cm³

Since 1 cm³ has a mass of 0.7gm total mass
M = 0.7V = (0.7)1600π =1120π gm

Using the ratio 22/7 for pi we get
M =  1120 x 22/7  = 3520 g

If we use the more accurate value of π as 3.14159 then we get
M = 1120 x 3.14.159 = 3518.58 g which is more accurate