question 3 help me please

Answer:

27 units

Step-by-step explanation:

6 (base) × 9 (height) = 54

54 × 1/2 = 27

Answer:

[tex]x=\boxed{6.6}[/tex]

[tex]\overline{\sf DE}=\boxed{13.2}\:\:\sf units[/tex]

Step-by-step explanation:

Geometric Mean Theorem - Altitude Rule

The altitude drawn from the vertex of the right angle perpendicular to the hypotenuse separates the hypotenuse into two segments.  The ratio of one segment to the altitude is equal to the ratio of the altitude to the other segment:

[tex]\sf \dfrac{segment\:1}{altitude}=\dfrac{altitude}{segment\:2}[/tex]

From inspection of the given diagram:

[tex]\begin{aligned}\sf \dfrac{segment\:1}{altitude} & = \sf \dfrac{altitude}{segment\:2}\\\\\implies \dfrac{5}{9} & = \dfrac{9}{2x+3}\\\\5(2x+3) & = 81\\\\10x+15 & = 81\\\\10x & = 66\\\\ \implies x & = 6.6\end{aligned}[/tex]

Substitute the found value of x into the expression for DE:

[tex]\begin{aligned}\sf \overline{DE} & = 2x+3\\\implies \sf \overline{DE} & = 2(6.6)+3\\& = 13.2+3\\& =16.2\:\: \sf units\end{aligned}[/tex]

Answer:

Step-by-step explanation:

Answer:

Option C, The volume of the length cube is 3 times the volume of the smaller cube

Step-by-step explanation:

21.8 / 7.8 = 2.8

the volume of the larger would be 21.8^3 = 10360.23

the volume of the larger would be 7.8^3 = 474.55

Answer:

  x ≈ 8.99

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between trig functions and sides in a right triangle. Here, the geometry of the problem can be modeled by a right triangle. We are given one side and want to find the difference in lengths of the other side for two different angles.

__

The tower height is the side opposite the angle of elevation. The distance from the tower to the end of the shadow is the side adjacent to the angle of elevation, so the relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(angle of elevation) = (tower height)/(length of shadow)

Solving for the length of shadow, we have ...

  length of shadow = (tower height)/tan(angle of elevation)

The difference in shadow lengths is 2x for the two different angles, so we have ...

  2x = 24.57/tan(30°) -24.57/tan(45°)

__

Dividing by 2 and factoring out the tower height, we have ...

  x = 12.285(1/tan(30°) -1/tan(45°)) = 12.285(√3 -1)

  x ≈ 8.993244

The value of x is about 8.99.

Based on the sides of LMN and OPQ, the congruence postulate that applies is B. Congruent - SSS.

It is used when the two triangles given have three equal corresponding sides which also have equal angles.

All three sides of LMN and OPQ are equal sides and have equal angles and so the SSS rule applies.

Find out more on the SSS rule at https://brainly.com/question/20295863.

#SPJ1

In an oblique drawing, the surface that is shown in its true size and shape and is parallel to the horizon is the front.

The Position of an object in a drawing is known to be parallel to the plane of projection and the circular shape is true in front plane of the oblique view.

The measurements on the front and oblique faces are known to have all its lengths to be true.

Note also that A pictorial drawing that has the front view of an object parallel to the projection plane and shown its true size and shape is known to be Oblique Drawing.

Therefore, In an oblique drawing, the surface that is shown in its true size and shape and is parallel to the horizon is the front and as such, option d is correct.

Learn more about oblique drawing from

https://brainly.com/question/14445025

#SPJ1

Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.

Transformation technique is a way of changing the position of an object on an xy-plane.

Given the parent function of a modulus function f(x) = |x|, the graph of the function g(x) = |x| - 2 shows a vertical translation of the parent function down by 2 units.

The resulting graph of the translated function is as shown below

Learn more on translation here: https://brainly.com/question/1046778

#SPJ1

Answer:

second option

Step-by-step explanation:

5 newton pushing it to the right

while a mere 4 newton pushing it to the left

more force pushing towards right

If f(x) and f¹(x) are inverse functions of each other then value of ƒ˜¹ (8) = 3/2.

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have,

f(x) = 2x + 5

Let us consider f(x) as y

So, y= 2x + 5

Now replace x to y and y to x

x= 2y+ 5

Solving for y we get

2y = x - 5

y = (x - 5)/2

[tex]f^{-1[/tex](x) = (x - 5)/2

Now, [tex]f^{-1[/tex](8) = (8 - 5)/2

[tex]f^{-1[/tex](x) = 3/2

Learn more about Function here:

https://brainly.com/question/12431044

#SPJ2

Answer:

2x^3 - 3x^2 + 7x - 3

Step-by-step explanation:

Area = length * width

= (2x - 1)(x^2 - x + 3)

= 2x(x^2 - x + 3) - 1(x^2 - x + 3)

= 2x^3 - 2x^2 + 6x - x^2 + x - 3

= 2x^3 - 3x^2 + 7x - 3

Answer:

6¹¹

Step-by-step explanation:

Simplifying the numerator :

Solving the expression :

[tex]\text{She is not correct because}\\\\20\% = \dfrac{20}{100} = \dfrac 2{10} = 0.2 \neq 0.02[/tex]

Probability that he will choose debbie and esther as the two representatives is 1/20 .

Probability is the stream in mathematics in which likeliness of an event to happen is studied.

The range of probability lies between 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.

It is given that anna, becky, christina, debbie, and esther are the five candidates for student representative for the school board.

two students will be selected, and they will alternate attending the school board meetings.

all five students are equally well qualified, so the school superintendent decides to draw names at random.

probability he will choose debbie and esther as the two representatives = ?

Probability of chosing debbie is 1/5

Probability of choosing Esther is also 1/5

Either of them if chosen first the probability is 1/5

and the either of them chosen second the probability is 1/4

Probability that he will choose debbie and esther as the two representatives = (1/5)*(1/4) = 1/20 .

To know more about Probability

https://brainly.com/question/11234923

#SPJ1

In order to find equation, first find slope:

[tex]\sf slope : \dfrac{y_2 - y_1}{x_2 - x_1} \quad where \ (x_1, y_1) , \ (x_2, y_2) \ are \ points[/tex]

Given points: (-3, 7) and (6, -5)

[tex]\rightarrow \sf slope : \dfrac{-5-7}{6-(-3)} =-\dfrac{4}{3}[/tex]

Equation:

[tex]\sf y- y_1 = m(x - x_1)[/tex]

insert values

[tex]\rightarrow \sf y - 7 = -\dfrac{4}{3} (x -(-3))[/tex]

[tex]\rightarrow \sf y = -\dfrac{4}{3} x - 4 +7[/tex]

[tex]\rightarrow \sf y = -\dfrac{4}{3} x +3[/tex]

[tex]~~~~\dfrac{12}{x^2 -49} \cdot \dfrac{x^2+9x+14}{9}\\\\\\=\dfrac{4}{x^2 -7^2}\cdot \dfrac{x^2 + 7x +2x +14}{3}\\\\\\=\dfrac{4}{(x+7)(x-7)} \cdot \dfrac{x(x+7)+2(x+7)}{3}\\\\\\=\dfrac{4}{(x+7)(x-7)}\cdot \dfrac{(x+7)(x+2)}{3}\\\\\\=\dfrac{4(x+2)}{3(x-7)}[/tex]

Answer:

[tex]\frac{4(x + 2)}{3(x - 7)}[/tex]

Step-by-step explanation:

Hello!

We can simplify this by factoring, and cross reducing.

The final simplified form is [tex]\frac{4(x + 2)}{3(x - 7)}[/tex]

The point-slope form of the equation for the line is y - 3 =1/2(x - 2)

From the question, we are to determine the point-slope form of the equation for the line

The point-slope form of the equation of a line is given by

y - y₁ = m(x - x₁)

Where (x₁, y₁) is a point on the line

and m is the slope of the line

From the given information,

Slope, m = 1/2

and we have the point (2,3)

∴ The point-slope form of the equation for the line is

y - 3 =1/2(x - 2)

Hence, the point-slope form of the equation for the line is y - 3 =1/2(x - 2)

Learn more on Point-slope form of the equation of a line here: https://brainly.com/question/26704430

#SPJ1

Answer:

need more information to answer for you.

Step-by-step explanation:

the lowest mileage rate is 25 miles per gallon.

Multiply 25 by 15 gallons

25 x 15 = 375 miles

Answer: B. 375 miles

Answer: 8

Step-by-step explanation:

To find the diagonal, we need to use two formulas:

Area of a square: [tex]A = s^{2}[/tex] (Area = side * side)

Pythagorean Theorem: [tex]a^{2} +b^{2} =c^{2}[/tex]  

Since  every side of a square is the same:

[tex]a^2 = b^2\\a = b = \sqrt{32} \\a^{2} = 32\\b^2 = 32[/tex]

Our equation:

[tex]32 + 32 = c^2\\64 = c^2\\8 = c[/tex]

The picture below visually explains the problem

Hope this helps!

Answer: (0,-1)

Step-by-step explanation:

Let's start with the first inequality, [tex]y < -x^{2}+x[/tex]. To check which points satisfy this inequality, we can substitute the x- and y-coordinates and see if they satisfy the inequality.

Once again, we can repeat this for the second inequality (but this time, we only need to check the points that satisfy the first inequality).

Therefore, the answer is (A) (0, -1).

Answer:

If the question is which is closest to 8, the answer is 61

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

[tex]4+\left(11-3\right)^2\\(11-3)=8\\=4+8^2\\=4+64\\=68[/tex]

Answer:

2/3

Step-by-step explanation:

Probability (b or e) :

⇒ There are 3 b's and 3 e's in the word "bumblebee"

⇒ P (b or e) = No. of b's and e's / Total letters

⇒ P (b or e) = 3 + 3 / 9

⇒ P (b or e) = 6/9

⇒ P (b or e) = 2/3

Answer:

A

Step-by-step explanation:

the domain are the value on the x coordinate

i.e 3, 6, -1, 5, -4 = {-4,-1,3,5,6}

Answer:

58.5 ft

Step-by-step explanation:

sin 70=55/length

length=58.5 ft

Answer:

-2.6112

Step-by-step explanation:

= 0.510 (3+0.2) x -1.6

= 0.510 x 3.2 x -1.6

= -2.6112

hence answer is -2.6112.

Answer:

5

Step-by-step explanation:

the gradient is 5

change in Y over change in X

Considering the area of the hole, it is found that there is a 4.9% probability of hitting a ball into the circular hole.

The area of a circle of radius r is given by:

[tex]A = \pi r^2[/tex]

In this problem, the hole has a diameter of 1 ft, hence it is radius is of r = 1 ft/2 = 0.5 ft, and it's area is given by:

[tex]A = \pi \times (0.5)^2 = 0.7854 \text{ft}^2[/tex]

Hence the probability is given by:

p = 0.7854/16 = 0.049 = 4.9%

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1