Find the measure of angle b
66°
b

Answers

Answer 1

The measure of angle is 24°.

We are given the two sides of the triangle as:

25 units and 10 units

Since the able that need to be found lies at 25 units side, the base side will be that only.

So, we get that:

Base side = B = 25 units

Perpendicular side = P = 10 units

We know that:

tan θ = P / B

tan θ = 10 / 25

tan θ = 2 / 5

θ = tan⁻¹ ( 2/ 5)

which will be approximately equal to

θ = 24°

Therefore, we get that, the measure of angle is 24°.

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Your question was incomplete. Please refer the content below:

Find the measure of the indicated angle to the nearest degree

a. 66

b. 22

c. 24

d. 68


Related Questions

Find the distance between A (4, 6) and B (9, 7). Write your answer as a radical and as a decimal rounded to the nearest
tenth.
The distance between the two points is ___ or about ___

Answers

Answer: the distance between the two points is √26 or about 5.1

Step-by-step explanation:

A(4,6)   B(9,7)

[tex]\boxed {L_{AB}=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2} }\\\\L_{AB}=\sqrt{(9-4)^2+(7-6)^2} \\\\L{ab}=\sqrt{5^2+1^2}\\\\ L_{AB}=\sqrt{25+1} \\\\L_{AB}=\sqrt{26} \\\\L_{AB}\approx5.1[/tex]

The distance between A (4, 6) and B (9, 7) is √26 or 5.1.

How to find the distance between two points?

Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

So the distance between A (4, 6) and B (9, 7) will be

[tex]d = \sqrt {\left( {4 - 9 } \right)^2 + \left( {6 - 7 } \right)^2 }[/tex]

d = √26 = 5.099

Rounded to nearest tenth ⇒ 5.1 units.

Hence "The distance between A (4, 6) and B (9, 7) is √26 or 5.1".

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3x + 4y = -23
2y - x = -19
What is the solution (x, y) to the system of equations
above?
A) (-5,-2)
B) (3, -8)
C) (4, -6)
D) (9,-6)

Answers

Answer:   Choice B)   (3, -8)

=======================================================

Explanation:

I'll use the substitution method.

Let's solve the second equation for x.

2y - x = -19

-x = -19-2y

x = 19+2y

Then plug that into the first equation

3x + 4y = -23

3( x ) + 4y = -23

3(19+2y)+4y = -23

3*19 + 3*2y + 4y = -23

57+6y+4y = -23

57+10y = -23

10y = -23-57

10y = -80

y = -80/10

y = -8

Use this y value to find x.

x = 19+2y

x = 19+2(-8)

x = 19-16

x = 3

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

Summary:

We found that x = 3 and y = -8

The ordered pair solution is therefore (x,y) = (3, -8)

Technically you could have stopped once reaching y = -8, since choice B is the only one that fits the description. But it helps to have practice.

Answer:

answer is B

Step-by-step explanation:

picture is upside down.


Please help! Radicals.
(Check pics)

Answers

Answer:

[tex] - 26 \sqrt{10} [/tex]

Step-by-step explanation:

Simplify.

[tex] \rightarrow \sqrt{40} \: \: \: \: \: \: \: \: \\ = \sqrt{4 \times 10} \: \: \: \\ = \sqrt{4} \times \sqrt{10} \\ = 2 \times \sqrt{10} \: \: \: \: \\ = 2 \sqrt{10} \: \: \: \: \: \: \: \: \: [/tex]

[tex] \rightarrow \sqrt{160} \\ = \sqrt{16 \times 10} \: \: \: \\ = \sqrt{16} \times \sqrt{10} \\ = 4 \sqrt{10} \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Let us solve the given expression now.

[tex] - \sqrt{40} - 6 \sqrt{160} \\ - 2 \sqrt{10} - 6 \times 4 \sqrt{10} \\ - 2 \sqrt{10} - 24 \sqrt{10} \\ - 26 \sqrt{10} [/tex]

In 34,65/2,31,59/2 which term is 16?​

Answers

Answer:

8

Step-by-step explanation:

Answer:

none is

Step-by-step explanation:

the table shows the total cost of different numbers of square feet of carpet.

what is the rate of change in dollars with respect of the number of square feet purchased for this linear relationship

Answers

The rate of change is $7 per one square feet.

What is the rate of change?

In order to determine the rate of change, the difference between each successive cost would be divided by the difference in each successive size.

Rate of change = change in cost /change in size

(980 - 840) / (140 - 120)

140 / 20

= $7

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the base of s is the triangular region with vertices (0, 0), (2, 0), and (0, 2). cross-sections perpendicular to the x-axis are squares.

Answers

I assume you want the volume of the shape with the given cross sections. In the [tex]x,y[/tex]-plane, the base is set

[tex]\left\{(x,y) ~:~ 0\le x\le 2 \text{ and } 0 \le y \le 2-x\right\}[/tex]

Each cross section is a square plate with side length [tex]2-x[/tex] (the vertical distance between the [tex]x[/tex]-axis and the line [tex]y=2-x[/tex]) and thickness [tex]\Delta x[/tex], hence volume [tex](2-x)^2\,\Delta x[/tex].

As [tex]\Delta x\to0[/tex] and the number of cross sections grows to infinity, the total volume of the plates converges to volume of the solid [tex]S[/tex], given by the definite integral

[tex]\displaystyle \int_0^2 (2-x)^2 \, dx = \int_0^2 x^2 \, dx = \frac{2^3-0^3}3 = \boxed{\frac83}[/tex]

(where we make the substitution [tex]2-x\mapsto x[/tex])

The radius of a cone can be found using the formula , where stands for the volume of the cone and stands for the height. If r=3, h=6, and pi is 3.14 , find the volume (V). Round the answer to the nearest hundredths place.

Answers

The volume of the cone with radius 3 and height of the cone 6 is 56.52.

Any shape's volume in geometry is the area it takes up in a three-dimensional space. As a result, the space occupied by a cone in three dimensions is known as its volume.

The formula for the radius of a cone is given as:

r = √( 3 × V / π × h)

Where h is the height of the cone, V is the volume of the cone.

Now, squaring the above equation.

(r)² = [  √( 3 × V / π × h) ]²

r² = [ √ (3 × V) / √ ( π × h ) ]²

3V = π × r² × h

V = π × r² × h / 3

We have,

r = 3, h = 6, and π = 3.14

V = ( 3.14 × (3)² × 6 / 3 )

V = 3.14 × 3 × 6

V = 56.52

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Fill in the missing parts in the equivalent forms:
6/9 = blank/6

Answers

Answer:

9

Step-by-step explanation:

9! If you need me to explain let me know

abigail wanta to find three consecutive even integers whose sum is four times the smallest of those integers. she lets n represent the smallest integer, then writes this equation n + (n + 2) + (n + 4) = 4n

Answers

Step-by-step explanation:

first add all the n together

3n and 4n

add those together too

7n

now add 2+4

6 now

7n\-7n =6/-7n = -1n

math work please help <3​

Answers

Using translation concepts, it is found that:

a.

The equation is: y = -1.5(x + 4)² + 9.The domain is all real values.The range is y ≤ 9.

b.

The rule is [tex]y = -\sqrt{x + 5} + 10[/tex].The domain is x ≥ -5.The range is y ≤ 10.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

Quadratic function

The quadratic function has vertex at (-4,-6), hence:

y = a(x + 4)² - 6

When x = -6, y = 0, hence we use it to find a as follows:

0 = 4a - 6

a = 1.5.

Hence the function is:

y = 1.5(x + 4)² - 6.

When it is reflected over the x-axis, we have that:

y -> -y.

Hence:

y = -1.5(x + 4)² + 6.

When it is moved up 3 units, we have that y -> y + 3, hence:

y = -1.5(x + 4)² + 9.

The function is defined for all real values, assuming values from negative infinity to 9, hence:

The equation is: y = -1.5(x + 4)² + 9.The domain is all real values.The range is y ≤ 9.

Square root function

The parent square root function is given by:

[tex]y = \sqrt{x}[/tex]

From the graph, it is found that:

The function was reflected over the x-axis, hence y -> -y.The function was shifted one unit to right, hence x -> x - 1.The function was shifted two units up, hence y -> y + 2.

Hence the rule is:

[tex]y = -\sqrt{x - 1} + 2[/tex]

The translations given by the item are:

6 units left, hence x -> x + 6.8 units up, hence y -> y + 8.

Thus:

[tex]y = -\sqrt{x + 5} + 10[/tex]

Then the function will be defined for values of -5 and greater, assuming values of 10 and less, hence:

The rule is [tex]y = -\sqrt{x + 5} + 10[/tex].The domain is x ≥ -5.The range is y ≤ 10.

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What is the surface area of a pyramid with the measurements being 4 4 7

Answers

Hope this answers to your question!

find the direction cosines and direction angles of the vector. (give the direction angles correct to the nearest tenth of a degree.)

Answers

The direction cosines of the vector r with direction angles α, β, γ to the x, y and z axis are

cosα = x/r = 3√2/10cosβ = y/r = 4√2/10 and cosγ = z/r = √2/2  

So, the direction angles are

α = cos⁻¹(x/r) = cos⁻¹(3√2/10) = 64.9°β = cos⁻¹(y/r) = cos⁻¹(4√2/10) = 55.6° and γ = cos⁻¹(z/r) = cos⁻¹(√2/2) = 45°

How to find the direction cosines and direction angles of the vector?

Given a vector r = xi + yj + zk where

x, y and z are the components of the vector in the x, y and z directions. and r = √(x² + y² + z²)

The direction cosines of the vector r with direction angles α, β, γ to the x, y and z axis are

cosα = x/r, cosβ = y/r and cosγ = z/r

So, their direction angles are

α = cos⁻¹(x/r), β = cos⁻¹(y/r) and γ = cos⁻¹(z/r)

As an example, let r = 3i + 4j + 5k

So, r = √(x² + y² + z²)

= √(3² + 4² + 5²)

= √(9 + 16 + 25)

= √50

= 5√2

The direction cosines of the vector r with direction angles α, β, γ to the x, y and z axis are

cosα = x/r = 3/5√2 = 3√2/10cosβ = y/r = 4/5√2 = 4√2/10 and cosγ = z/r = 5/5√2 = 1/√2 = √2/2  

So, the direction angles are

α = cos⁻¹(x/r) = cos⁻¹(3√2/10) =  cos⁻¹(0.4243) = 64.9°β = cos⁻¹(y/r) = cos⁻¹(4√2/10) = cos⁻¹(0.5657) = 55.6° and γ = cos⁻¹(z/r) = cos⁻¹(√2/2) = cos⁻¹(0.5657) = 45°

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what is the area of rectangle wxyz with vertices wleft-parenthesis 0 comma 1 right-parenthesis, xleft-parenthesis 3 comma 4 right-parenthesis , yleft-parenthesis negative 1 comma 8 right-parenthesis, zleft-parenthesis negative 4 comma 5 right-parenthesis to the nearest unit?

Answers

The area of the rectangle will be 24sq, units.

How can we calculate the area of the rectangle?

To determine the area of various polygons, there exist specialized formulae. The general formula for rectangles is as follows:

A = width x length

Given, the coordinates of the rectangle are W(0,1), X(3,4), Y(-1, 8), Z(-4,5)

So the length of rectangle will be = distance between W and X will be -

⇒[tex]\sqrt{(3 - 0)^{2} + (4-1^{2}) }[/tex]

⇒[tex]\sqrt{18}[/tex]

The breadth of rectangle will be = distance between X and Y

[tex]\sqrt{(3 + 1)^{2} + (8-4)^{2} }[/tex]

⇒ [tex]\sqrt{32}[/tex]

Now, area of rectangle = length × breadth

⇒ [tex]\sqrt{18}[/tex] × [tex]\sqrt{32}[/tex]

⇒ 24 sq. units

So, the area of the rectangle will be - 24 sq. units

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In the figure below, m1=8x° and m2 = (x-9)°.
Find the angle measures.
1
1 2

Answers

Answer:

<1 = 168

<2 = 12

Step-by-step explanation:

First, you need to solve for x

8x + x -9 = 180

9x -9 = 180

9x = 189

x = 21

Now, substitute in 21 for x for both angles

8(21) = 168

(21) - 9 = 12

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

The number in the green box should be -19d

how to solve this with steps?

Answers

Answer:

you don't

Step-by-step explanation:

this is at it's simplest form, tell your teacher that or if its online answer, talk to your tutor or teacher

In right triangle abc with m/C=90°, m/B=75°, and AB = 12 cm. Find the area
of triangle ABC. No trig

Answers

The area of the Triangle ABC will be 18 cm²

In the question, It is given that ∠B = 75° and ΔABC is Right angeled at ∠C = 90° and AB = 12CM.

We know that the Area of Δ is defined by : [tex](\frac{1}{2} *b*h)[/tex]

In the picture below, we have base and height BC and AC respectively.

We don't have the values for AC and BC. So to find the values of Base & Height we will use Trigonometric Ratios.

We know Sin(∠) = Perpendicular/Hyoptenuse and,

Tan(∠) = Perpenciular/Base. Putting values into the respective ratios and taking ∠B = 75°, we get

=>  [tex]Sin(B) = \frac{AC}{BC} = > Sin(75) = \frac{AC}{12}[/tex]

=>  [tex]AC = 0.96 * 12 = > AC = 11.59[/tex]

Similarly, [tex]Tan(B) = \frac{AC}{BC} = > Tan(75) = \frac{11.59}{BC}[/tex]

=>  [tex]BC = \frac{11.59}{3.73} = > BC = 3.10[/tex]

Now, we have AC = 11.59cm and BC = 3.10cm putting these values in the Area of the Triangle we get :

Area = [tex]\frac{1}{2} *b*h[/tex]  => Area = [tex]\frac{1}{2}[/tex] * BC * AC

Area =  [tex]\frac{1}{2}[/tex] * 3.10 * 11.59  =>  Area = 18

Hence, we get the Area of Δ ABC = 18cm²

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Answer:

18

Step-by-step explanation:

3 and 1/4 divided by 2 and 1/6

Answers

Answer:

{3 1/4} / {2 1/6} =

1.5  

Step-by-step explanation:

Answer:

Exact Form:

3/2

Decimal Form:

1.5

Mixed Number Form:

1 1/2

can anyone help with

4x + 6 + 2x = 18

Answers

Answer:

x=2

Step-by-step explanation:

[tex]4x+2x+6=18 < - Start-by-grouping-the-like-terms![/tex]
[tex]6x+6=18 < - Then-add-the-similar-elements![/tex]
[tex]6x+6-6=18-6 < - Subtract-6-from-both-sides-and-simplify.[/tex]
[tex]6x=12[/tex]
[tex]\frac{6x}{6}=\frac{12}{6} < - Divide-both-sides-by-6-to-further-simplify![/tex]
[tex]x=2[/tex]
________________________________________________________
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(1 point) Find an equation for the linear function g(x) which is perpendicular to the line 5x−2y=6 and intersects the line 5x−2y=6 at x=8.
g(x)=

Answers

Answer: y=-0.4x+20.2

Step-by-step explanation:

[tex]5x-2y=6\\5x-2y+2y=6+2y\\5x=6+2y\\5x-6=6+2y-6\\5x-6=2y[/tex]

Divide both parts of the equation by 2:

[tex]\displaystyle\\\frac{5x-6}{2}=y\\\\\frac{5}{2} x-3=y[/tex]

Coordinates of the intersection point of the equations:

[tex]\displaystyle\\y=\frac{5}{2}x-3 \ and\ x=8\ are:[/tex]

[tex]\displaystyle\\x=8\\Hence,\\y=\frac{5}{2} (8)-3\\\\y=\frac{5*8}{2} -3\\\\y=\frac{5*4*2}{2}-3\\\\y=5*4-3 \\\\y=20-3\\\\y=17\\Thus, (8,17)[/tex]

[tex]\displaystyle\\The\ slope\ \perp=-\frac{1}{\frac{5}{2} } \\\\The\ slope\ \perp=-\frac{2}{5}[/tex]

[tex]\displaystyle\\-\frac{2}{5} =\frac{y-17}{x-8}[/tex]

Multiply both parts of the equation by (x-8):

[tex]\displaystyle\\-\frac{2}{5}(x-8)=y-17\\\\-\frac{2}{5} x+\frac{2*8}{5} =y-17\\\\-\frac{2}{5}x+\frac{16}{5} =y-17\\\\ -0.4x+3.2=y-17\\\\ -0.4x+3.2+17=y-17+17\\\\-0.4x+20.2=y[/tex]-

Find the measure of the missing angles.
121°
20°
e
d
f

Answers

Answer: e=20° d=121° f=39°

Answer:

f=39°

e=20°

d=121°

Step-by-step explanation:

d=121°(vertically opposite angles are equal)

e=20°(vertically opposite angles are equal)

f=180°-(d+e)

=180-141

=39°

a builder wants to install hardwood flooring in a dining room of length 8.68 m and width 6.1 m. what is the area of the room (in m2)?

Answers

Answer:

52.948 m²

Step-by-step explanation:

→ State the formula for the area

length × width

→ Substitute in the numbers

8.68 × 6.1 = 52.948 m²

hlllppppp! brainliest to first
y = -2x + 18
y = 8

Solution for the above system?

brainliest to first!!!!!!!hlpppppp!!!!!!!!!!!

Answers

Answer:

x =5

Step-by-step explanation:

8 = -2x + 18  Subtract 18 from both sides

-10 = -2x  Divide both sides by -2

5 = x

find the volume of the parallelepiped with one vertex at (5,4,4), and adjacent vertices at (0,−1,5), (4,10,5), and (11,7,11).

Answers

The volume of the parallelepiped is 299³ units.

What is parallelepiped?A parallelepiped is a three-dimensional character formed by six parallelograms in geometry (the term rhomboid is also sometimes used with this meaning). It is analogous to a parallelogram in the same way that a cube is analogous to a square. In Euclidean geometry, the 4 concepts—parallelepiped and cube in three dimensions, parallelogram as well as square in two-dimension —are defined, but only parallelograms and parallelepipeds exist in the context of more general affine geometry, in which angles are not differentiated.

So,

The volume of parallelopiped can be calculated using the steps below.

PQ = Q - Vertex = (-5, -5, 1)PR = R - Vertex  = (-1, 6, 1)PS = S - Vertex  = (6, 3, 7)

Now, the volume of parallelopiped is increasing:

[tex]v=\left|\begin{array}{lll}-5 & -5 & 1 \\-1 & 6 & 1 \\6 & 3 & 7\end{array}\right|[/tex]

The matrix's determinant is:

⇒ -5(42 - 3) +5(-7 -6) +1(-3 - 36)

⇒ -5(39) +5(-13) +1(-39)

⇒ -195 -65 -39

⇒ |-299| = 299

Therefore, the volume of the parallelepiped is 299³ units.

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Solve the following equation.
(90-x)-x=18

Answers

Answer:

x = 36

Step-by-step explanation:

(3.85 x 103) - (1.4 x 102) In scientific notation I need ASAP plss

Answers

Answer:

Step-by-step explanation:

x^10

2. Question
A car averages 32 mpg. Gas costs $1.97 per gallon. How much
would it cost to pay for the gas if this car made a trip of 866 miles?
O$37.51
O$13.73
0 $55.20
O$53.31
show
your
Work ↓

Answers

The cost for 866 miles will be $53.31.

How to calculate the cost?

The car car averages 32 mpg and gas costs $1.97 per gallon.

Therefore,. the cost for 866 miles will be:

= 866/32 × $1.97

= 27.0625 × $1.97

= $53.31

The cost is $53.31.

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If the cost of a bat and a baseball combined is $1.10 and the bat costs $1.00 more than the ball, how much is the ball?

Answers

Answer:

0.05

Step-by-step explanation:

Answer:

10 cents

Step-by-step explanation:

Well the bat and baseball is 1.10 simply subtract 1.00 from 1.10 and you have your answer!

Have an AMAZING day! :)

Find. 5.3 • 10 to the power of 3 - 8 • 10 to the power of 2.

Express you answer in scientific notation

Answers

Answer: 568000

Step-by-step explanation:

Convert the following recurring decimals to fractions
0.617​

Answers

617/1000 fraction
61.7% in percentage if needed.
I hope this helps you out!
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