∠A and ∠B are complementary. The measure of ∠A is 21°.

What is the measure of ∠B?

Enter your answer in the box.

°

Answer:

  20.3 ft

Step-by-step explanation:

You want to know the height of a building if a 33 ft ladder reaches from the top of the building to a point 26 ft from the bottom of the building.

The geometry can be modeled by a right triangle with hypotenuse 33 ft and one leg of 26 ft. The other leg length (the building height) is found using the Pythagorean theorem.

  26² + h² = 33²

  h = √(33² -26²) ≈ 20.3 . . . . ft

The building is about 20.3 feet high.

__

Additional comment

This ladder makes an angle of about 38° with the ground. For ladder safety, an angle around 70° is usually recommended.

<95141404393>

Answer :

Explanation :

We know,

⠀

[tex]{ \longrightarrow \bf \qquad { { Volume_{(cone) }= \dfrac{1}{3} \pi {r}^{2}h }}}

[/tex]

⠀

Where,

⠀

Here,

⠀

Substituting the value in the formula :

⠀

[tex]{ \longrightarrow \sf \qquad { { Volume_{(cone) }= \dfrac{1}{3} \times \dfrac{22}{7} \times {3}^{2} \times 14 }}}[/tex]

⠀

[tex]{ \longrightarrow \sf \qquad { { Volume_{(cone) }= \dfrac{1}{ \cancel3} \times \dfrac{22}{ \cancel7} \times { \cancel9} \times \cancel{14 }}}}[/tex]

⠀

[tex]{ \longrightarrow \sf \qquad { { Volume_{(cone) }= 1 \times 22 \times 3 \times 2 }}}[/tex]

⠀

[tex]{ \longrightarrow \sf \qquad { { Volume_{(cone) }= 1 \times 22 \times 6 }}}[/tex]

⠀

[tex]{ \longrightarrow{ \pmb {\mathfrak {\qquad { Volume_{(cone) }= 132 }}}}}[/tex]

⠀

Therefore,

Question :-

Answer :-

Explanation :-

As per the provided information in the given question, we have been given that the Radius of the Cone is 3 cm . Its Height is given as 14 cm . And, we have been asked to calculate the Volume of the Cone .

For calculating the Volume , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: Volume \: _{Cone} \: = \: \frac{1}{3} \: \pi {r}^{2} h \: }} [/tex]

Where ,

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf{Volume \: _{Cone} \: = \: \dfrac{1}{3} \: \times \: \pi \: \times \: {r}^{2} \: \times \: h } [/tex]

[tex] \longmapsto \: \: \sf{Volume \: _{Cone} \: = \: \dfrac{1}{3} \: \times \: \dfrac{22}{7} \: \times \: ( {3})^{2} \: \times \: 14 } \\ [/tex]

[tex] \longmapsto \: \: \sf{Volume \: _{Cone} \: = \: \dfrac{1}{3} \: \times \: \dfrac{22}{7} \: \times \: 9 \: \times \: 14 } \\ [/tex]

[tex] \longmapsto \: \: \sf{Volume \: _{Cone} \: = \: \dfrac {1}{1} \: \times \: \dfrac {22}{1} \: \times \: 3 \: \times \: 2 } [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cone} \: = \: 1 \times \: 22 \: \times \: 3 \: \times \: 2} [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cone} \: = \: 1 \times \: 22 \: \times \: 6} [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cone} \: = \: 22 \: \times \: 6} [/tex]

[tex] \longmapsto \: \: \bf {Volume \: _{Cone} \: = \: 132 \: cm } [/tex]

Hence :-

[tex] \underline {\rule {200pt} {4pt}} [/tex]

Answer:

the equation formula is y=mx+c

Step-by-step explanation:

the slope also represent a gradient

while the y intercept form equation is

x, o

o, y

Answer:

BC = 1.2, Option B

Step-by-step explanation:

1). Apply Law of Cosine: [tex]c^2=a^2+b^2-2ab\cdot cos(\gamma)[/tex]

   [tex]BC^2=AB^2+AC^2-2\cdot AB\cdot AC\cdot cos(\angle\ BAC)[/tex]

   [tex]AB=2\\AC=1\\\angle BAC=25[/tex]

2). [tex]BC^2=2^2+1^2-2\cdot 1\cdot cos(25)[/tex]

    [tex]BC=1.17[/tex]

Answer:

Step-by-step explanation:

Answer:

The triskelion appearing on the Isle of Man flag has rotational symmetry because it appears the same when rotated by one third of a full turn about its center. Because its appearance is identical in three distinct orientations, its rotational symmetry is three-fold.

the answer is first one

Answer:

Step-by-step explanation:

32.75 + m =75

Answer:

Yes, y=1

Step-by-step explanation:

So, QT and ST are congruent (equal to each other)

So, we just set the values equal to each other too

9y=y+8

subtract y from both sides, and you get:

8y=8

divide both sides by 8 and you get:

y=8

Answer:

Your answers are:

B: 147 degrees

C: 33 degrees

Step-by-step explanation:

a straight line is 180 degrees.

And b is 147 degrees, so 180 - 147 is 33 degrees.

Answer:4, 9, 14, 19, 24, . ... 1, 3, 9, 27, 81, is a geometric sequence. ... 0, 2, 6, 12, 72, does not have a set number it is multiplied or divided by each time.

Step-by-step explanation:

thats all

Answer: D.

1, 3, 9, 27, 81, . . .

Answer:

d)  [tex]2x^2+12x+4=13[/tex]

Step-by-step explanation:

Quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

The quadratic formula can be used to solve a quadratic equation in the form [tex]ax^2+bx+c=0[/tex]

From inspection of the given quadratic formula:

Therefore, plugging these values into the general form of the quadratic equation:

[tex]2x^2+12x-9=0[/tex]

If we add 13 to both sides we get:

[tex]2x^2+12x+4=13[/tex]

Answer: D

Step-by-step explanation:

The quadratic formula helps you find the roots of a quadratic function, specifically where the function equals zero. In order for an equation to match the use of the quadratic formula shown, the value of 'b' must be +12. It also demands that 'a' must be +2, and 'c' must be -9. Answer D has all these prerequisites.

Answer:

The surface area of a trapezoidal prism is the amount of area occupied by the surface of a trapezoidal prism. A trapezoidal prism is a three-dimensional solid that is made up of two trapezoids on opposite faces which are joined by four rectangles called the lateral faces. Like all three-dimensional shapes

Step-by-step explanation:

The area occupied by the surface of a trapezoidal prism is known as the surface area of a trapezoidal prism. Since the trapezoidal prism has a flat base, thus we can say that it has a total surface area and a curved surface area. The surface area of any three-dimensional geometrical shape is the sum of the surfaces of that enclosed solid which equals the areas of all of the faces. A trapezoidal prism has two trapezoidal faces four rectangular faces. Thus, the simple formula for calculating the surface area of a trapezoidal prism involves the area of the base, the perimeter of the base, and the slant height of any side of the prism. The surface area of any geometric figure is always measured in square units like cm2, m2, ft, or cubits2.

Answer:

AB ~= AB by Reflexive Property

Step-by-step explanation:

see attached

This problem can be done by process of elimination.

Notice that in our equation, our slope is positive.

In all these graphs, we have a negative slope.

Slope just describes how steep a line is.

The only graph that has a positive or upward slope is D.

So this is our answer.

Answer:

D

Step-by-step explanation:

The y-intercept (the value of y when x =0) of this graph is y = 1/3(0) +2. So, (0, 2) should be the y-intercept. By looking at the graph of D you can tell that at point x = 0, y = 2. Also, the equation is written in the slope-intercept form (y =mx + b) The slope of this line is 1/3. If you choose any two points from the line and calculate the rise/ run by using the slope formula or by directly counting the units, you will find that it is indeed 1/3.

Answer:

it is c

Step-by-step explanation:

Answer:

11^5

Step-by-step explanation:

you count how many 11's there are

Answer:

2

Y and X are numerical and algebraic values to substitute missing numbers or shorten equations.

Considering the probability concept, a random number table could be used as follows:

C) Read single-digit numbers until finding the first 0 or 1. Count the number of digits needed to get the first 0 or 1.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we want to count the number of spins it takes to reach values of 0 or 1, when there are 10 possible outcomes, hence option C is correct.

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

Answer:

3.86

Step-by-step explanation:

To solve this problem, we can use sine of the angle 75(which as a reminder, is opposite over hypotenuse):

sin(75)=x/4

x=4*sin(75)

If you plug that into a calculator, you get approximately 3.86.

The picture below shows how to set up the triangle.

Answer:

the correct answer is B. 2 & 4

Answer:

2 and 4

Step-by-step explanation:

This is because adjacent angles are next to each other.

(x-2)(x+1) is the answer to your question

Graph (D) indicates a reflection across the x-axis.

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

As we know that reflection across the x-axis is defined as reflecting a point across the y = x,  the x-coordinate, and y-coordinate places, and the line y = -x is the coordinates (x, -y).

So reflected across the x-axis: f(x) → -f(x),

⇒ (x,y) → (x , -y)

"A" is a y-axis reflection, "B" and "C" are basically points shifting to a different region of the graph, and "D" is a mirror reflection on the x-axis.

Hence, graph (D) shows a reflection across the x-axis.

To learn more about the transformations click here :

brainly.com/question/28029674

#SPJ5

Answer:

$30+$50x

Step-by-step explanation:

$30 that she has plus $50 plus x week(s)

Answer:

slope = 29

Step-by-step explanation:

Given that

the ordered pairs for this relationship are (gallons,  distance)

it means on coordinate plane

x represents gallons

y represents distance

thus,

two point on plane will be

A car traveled 261 miles on 9 gallons of gas

miles = 261 ---let it be represented by x1

gallons = 9---let it be represented by y1

(x1,y1) = (9,261)

miles = 145 ---let it be represented by x2

gallons = 5---let it be represented by y2

(x2,y2) = (5,145)

slope of two points (x1,y1) and (x2,y2) is given by

slope = m = (y2-y1)/(x2-x1)

thus, slope of the above ordered pair

m = (145-261)/(5-9) = -116/-4 = 29

Thus, slope of the line through these two ordered pairs is 29.

Answer:

B and E

Step-by-step explanation:

Answer:

this question is confusing

Answer:

y = -0.5x – 11.5

so the slop is -1/2

this means it goes down by 1/2 every time

-0.5

Hope This Helps!!!