pls find the angle HAF in the diagram ​

Pls Find The Angle HAF In The Diagram

Answers

Answer 1

Answer:

  ∠HAF ≈ 64.90°

Step-by-step explanation:

You want the angle HAF, a base angle in the isosceles triangle formed by the face diagonals of the cuboid with dimensions 6 cm, 6 cm, and 8 cm.

Diagonal lengths

The lengths of the diagonals can be found using the Pythagorean theorem:

  HA² = HD² + DA²

  HA² = 6² +6² = 2·6²

  HA = 6√2 . . . cm

  FA² = FB² +BA²

  FA² = 6² +8² = 36 +64 = 100

  FA = 10 . . . cm

Diagonal FH is the diagonal of a rectangle with the same dimensions as the rectangle whose diagonal is FA:

  FH = FA = 10 . . . cm

Law of Cosines

The angle A can be found using the law of cosines:

  FH² = FA² +HA² -2·FA·HA·cos(A)

  A = arccos((FA² +HA² -FH²)/(2FA·HA))

  A = arccos((100 +72 -100)/(2·10·6√2)) = arccos(72/(120√2))

  A = arccos(0.3√2) ≈ 64.90°

Angle HAF is about 64.90°.


Related Questions

kkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Answers

Answer:

23/4

Step-by-step explanation:

5*4 = 20

20+3=23

Answer:

23/4

Step-by-step explanation:

I learned it like this

4x5+3

So basically you multiply the bottom number with the whole number on the side and add the top number to it

And 4x5+3=23

You keep the bottom number of the mixed number

So it's 23/4

(I'm not super good at explaining things, but I hope this helped)

Question 3
Use the quadratic formula to complete the table. To verify your solutions, graph the equations.
BIU X² X₂ 10pt

Help !!!

Answers

The linear equation in this case is . The [tex]$3 x^2+4 x+4=0$[/tex] answer is [tex]x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex] and [tex]$3 y^2+2 x+4=0: \quad$[/tex]: quadratic [tex](h, k)=(-2,0), p=-\frac {1} {6}[/tex] , is the solution.

What do you meant by quadratic equation ?

[tex]$3 x^2+4 x+4=0 \quad: \quad x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}$[/tex]

[tex]$3 x^2+4 x+4=0$[/tex]

Apply the quadratic formula to the problem. [tex]$x_{1,2}=\frac{-4 \pm \sqrt{4^2-4 \cdot 3 \cdot 4}}{2 \cdot 3}$[/tex]

Simplify [tex]$\sqrt{4^2-4 \cdot 3 \cdot 4}: \quad 4 \sqrt{2} i$\\[/tex]

[tex]$x_{1,2}=\frac{-4 \pm 4 \sqrt{2} i}{2 \cdot 3}$[/tex]

Distinguish the answers

[tex]x_1=\frac{-4+4 \sqrt{2} i}{2 \cdot 3}, x_2=\frac{-4-4 \sqrt{2} i}{2 \cdot 3}\\x=\frac{-4+4 \sqrt{2} i}{2 \cdot 3}: \quad-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}\\x=\frac{-4-4 \sqrt{2} i}{2 \cdot 3}: \quad-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex]

The following are the quadratic equation's solutions:

[tex]x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex]

2) [tex]$3 y^2+2 x+4=0: \quad$[/tex] A parabola with a focal length of and a vertex at (h,k)=(-2, 0) [tex]$|p|=\frac{1}{6}$[/tex]

[tex]$3 y^2+2 x+4=0$[/tex]

[tex]$4 p(x-h)=(y-k)^2$[/tex] is the common formula for a right-to-left parabola with a vertex at (h, k) and a focal length of |p|.

Rewrite [tex]$3 y^2+2 x+4=0$[/tex]  using the proper form: [tex]$4\left(-\frac{1}{6}\right)(x-(-2))=(y-0)^2$[/tex]

The following are characteristics of parabolas:

[tex](h, k)=(-2,0), p=-\frac {1} {6}[/tex]

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-50 POINTS- If you guess will be reported.
If P=(1,6), Find: D3 (P)

Answers

Answer:

(3,18)

Step-by-step explanation:

You do not give the center of dilation, so I am using the origin (0,0)

You multiply the x and y by 3

(1,6)

1 x 3 = 3

(1,6)

6 x 3 = 18

(3,18)

Solve the equation.

3(x−9)=30

Answers

Answer:

19

Step-by-step explanation:

3(x-9)= 3x-27

3x-27=30

3x=57

x=19

y


x
If
y
=
45
when
x
=
81
find,
x
when
y
=
100

Answers

9514 1404 393

Answer:

  400

Step-by-step explanation:

The statement of proportionality means the ratio of y to √x is the same. Then we can write ...

  (√x)/100 = (√81)/45

  √x = 100(√81)/45 = 20 . . . . . multiply by 100

  x = 20² = 400

x is 400 when y is 100.

Find the volume of the cone. Round to your nearest hundredth

Answers

volume of cone

= ⅓πr²h

= ⅓ × 3.14 × 9 × 9 × 12

= 3.14 × 3 × 108

= 3.14 × 324

= 1017.36 cm³

C(6,18), SF=____ C'(2,6)

Pls help me solve this and figure this out!!!

Answers

C'(2,6) can be obtained by dividing each element of C(6,18) by 3.
C'(2,6) = C(6,18) / 3 = (2,6)

The foot of a ladder is placed 7 meters from a wall. If the top of the ladder rests 9 meters up on the wall, how long is the ladder?

Answers

Answer:

11.4

Step-by-step explanation:

Its a right triangle so we can use the Pythagorean Theorem to solve it

If the polynomials p(x)=2x³ +bx² +3x-5 and q(x)= x³+x² -4x-b leave the same remainder, when divided by x-2, prove that b = -13/5.​

Answers

Step-by-step explanation:

Lets first find the remainder when p(x) is divided by x-2

p(2)=2(2)³+b(2)²+3(2)-5

p(2)=16+4b+6-5

p(2)=4b+17

Now let's find the remainder when q(x) is divided by x-2

q(2)=(2)³+(2)²-4(2)-b

q(2)=8+4-8-b

q(2)=4-b

Now let's equate both of them

4b+17=4-b

4b+b=4-17

5b=-13

b=-13/5 as required

- Which expression is NOT equal to 1/30

Answers

Answer:

1+1=2

Step-by-step explanation:

please mark me brainliest i want to move to the next rank

HELP ME PLEASEEEEEEEE!!

Answers

9514 1404 393

Answer:

  12.  13

  14.  A

  15.  B

Step-by-step explanation:

I choose to work 3 problems to show how multiplication and division work with exponents.

__

12. You are looking for the coefficient of the x² term. It will be the sum of the coefficients of partial products that result in the variable being x². Those partial products will be of the form (ax²)(b) or (ax)(bx).

We note there are both x² and x terms in the first factor, but only x terms in the second factor. So, the x² term of the product will be ...

  (2x²)(4) +(5x)(x) = (8 +5)x² = 13x²

The missing coefficient is 13.

__

14. The rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  (a^b)/(a^c) = a^(b-c)

The given expressions can be simplified as ...

Koby

  [tex]\dfrac{w^3\cdot w^5}{(w^2)^4}=w^{3+5-2\cdot4}=w^0=1[/tex]

Paulo

  [tex](m^5)^2\cdot (m^{-3})^3=m^{5\cdot2+(-3)\cdot3}=m^1=m[/tex]

Kobe Only wrote an expression equivalent to 1.

__

15. The given expression is of the form

  [tex]\dfrac{\text{dividend}}{\text{divisor}}=\dfrac{14x^2+10x-7}{2x}\\\\=\dfrac{14x^2}{2x}+\dfrac{10x}{2x}-\dfrac{7}{2x}=(7x+5)+(-\dfrac{7}{2x})=\text{(quotient)+(remainder)}[/tex]

The true statement is ...

  the quotient has a remainder of -7/(2x)

__

Additional comment

Strictly speaking, a division problem can be expressed as ...

  dividend = (divisor)(quotient) + remainder

In this instance, this would be ...

  14x² +10x -7 = (2x)(7x +5) -7

which is to say that -7 is the remainder. The term -7/(2x) is actually part of the quotient.

The above (quotient) + (remainder) should actually be ...

  (quotient) +(remainder)/(divisor)

You will notice the answer choices have the terms "dividend" and "divisor" swapped, and that the degree of the binomial quotient is 1, not 2. Thus the only choice that begins to make sense is the one highlighted above--even though it, too, is technically incorrect.

Enter the next three numbers of the repeating decimal produced by the
7
fraction
9
0.777777 ...

Answers

Answer:

777

Step-by-step explanation:

7/9 will repeat 7 forever

The next three are therefor

777

Please help. Assignment is due today. I am terrible with math, I don't understand this. Thanks in advance.

Answers

Answer:

a. A' (-3, -1) B' (3, 2) C' (6, 0); b. A' (-1, -3) B' (1, 6) C' (2, 0); c. A' (-2, -3) B' (2, 6) C' (2, 0)

Step-by-step explanation:

Solutions for graph a, b and c are attached.

a. (x, y) to (3x, y)

A' (-3, -1) B' (3, 2) C' (6, 0)

b. (x, y) to (x, 3y)

A' (-1, -3) B' (1, 6) C' (2, 0)

c. (x, y) to (2x, 3y)

A' (-2, -3) B' (2, 6) C' (2, 0)

REMEMBER: Connect the lines to make the triangles for each graph BEFORE submitting.

8 feet and 9 inches multiplied by 5

Answers

Answer:

43 feet 9 inches

Step-by-step explanation:

Since there are 12inches in a feet you would have to first make the feet in to inches so 8x12 which would give you 96in and since there 9 extra inches you would add them to get 96+9=105inches then you muiltiply by 5 and lastly you make them back in to feet by dividing by 12 since there are 12inches in a feet. It would look like this: 525/12= 43.75 or 43ft and 9in

explain the following composite numbers into product of prime factors.
5929​

Answers

Since, the prime factors of 5929 are 7, 11. Therefore, the product of prime factors = 7 × 11 = 77.

Only answer if you’re sure :) id like the full equation! Will give Brainly

Answers

Answer:

[tex]y = \frac{3}{2} x - \frac{7}{2} [/tex]

Step-by-step explanation:

3x-2y=7

-3x -3x

-2y=-3x+7

-1 -1

2y=3x-7

2 2

y= 3/2x-7/2

Find the area of the figure below. Round answer to nearest tenth.

Answers

Answer:

[tex] \approx \: 198.1 \: {cm}^{2} [/tex]

Step-by-step explanation:

Given figure consists of a parallelogram and two semicircles with diameters 14 cm and 8 cm

(Opposite sides of a parallelogram are equal in measure and they are the diameters of the semicircles)

Therefore,

Area of the figure = Area of the parallelogram with base 8 cm and height 12 cm + Area of semicircle with radius (14/2 = 7) 7 cm + Area of the semicircle with radius (8/2 =4) 4 cm

[tex] = b \times h + \frac{1}{2} \times \pi {(7)}^{2} + \frac{1}{2} \times \pi {(4)}^{2} \\ \\ = 8 \times 12 + \frac{1}{2} \pi(49 + 16) \\ \\ = 96 + \frac{1}{2} \times 3.14 \times 65 \\ \\ = 96 + 102.05 \\ \\ = 198.05 \\ \\ \approx \: 198.1 \: {cm}^{2} [/tex]

What is answer too 12a over 2

Answers

Answer:

6a

Step-by-step explanation:

Solve for x. −34x≥12

Answers

Answer:

x≤ −6/ 17

Step-by-step explanation:

Let's solve your inequality step-by-step.

−34x≥12

Step 1: Divide both sides by -34.

−34x/ −34 ≥ 12/ −34

x≤ −6/ 17

Answer:

x≤ −6/ 17

PLS ANSWER FAST, WILL GIVE BRAINLIEST

Answers

Answer:

I guess option c is the answer

Can someone help me this is confusing

Answers

First square 10 (10•10=100). Then, multiply 8.1038 by 100. Since 100 has two 0’s you can just move the decimal over to the right twice. Your end answer would be 810.38

is y= 2x3 an exponential function?

Answers

Answer:

No it is not an exponential function

Find the value of each variable for each circle. Show your work
For a circle you have 60 and 80, what is the value of each variable a and b

Answers

The values of the variables in the circles are

Circle 1: a = 34 degreesCircle 2: a = 58 degrees, b = 90 degrees and c = 61 degrees

How to determine the values of the variables in the circles?

From the question, we have the following parameters that can be used in our computation:

Circles and missing angles (see attachment for the figures)

Circle 1

To determine the unknown variable (a), we make use of the following theorem

The angle subtended by an arc at the circumference is twice the angle subtended at the circumference

Mathematically, this means that

a = 2 * 17 degrees

Evaluate the product

a = 34 degrees

Circle 2

To determine the unknown variable (a), we make use of the following theorem

The angle at the circumference in a semicircle is 90 degrees.

Mathematically, this means that

b = 90 degrees

Also, we have

a + 122 degrees = 180 degrees

Evaluate

a = 58 degrees

Using the theorem in (a), we have

b + a/2 + c = 180

This gives

90 + 58/2 + c = 180

Evaluate the like terms

c = 61 degrees

Hence, the angle c is 61 degrees

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Write a cubic function whose graph passes through the points (-3, 0), (1, 0), (4, 0), and (0,8)

Answers

a cubic function whose graph passes through the points (-3, 0), (1, 0), (4, 0), and (0,8) is: f(x) = - 2 (x + 3) (x - 1) (x - 4)

What is a cubic function?

A cubic function is a function whose expression contains the cube of the x variable. A function is referred to as a cubic function if its formula is f(x) = ax³ + bx² + cx + d. a, b, c, and d can all be constants in this case, but make sure that a 0. The b, c, or d might all be zeros.

A cubic function has 3 roots.

Let, assume α, β and γ.

So, f(x) = K (x - α). (x - β). (x - γ)

f(x) is defined by values of x where f(x) = 0

0 = K (x - α). (x - β). (x - γ)

x = α, β, γ

The given cubic function graph is cutting x - axis at 3 points: (-3, 1 ,4)

Now, f(x) = K (x - (-3). (x - 1). (x - 4)

f(x) = K (x + 3) (x - 1) (x - 4)

Next, f(x) passes through point (0,8) which means:

f(0) = 8

so, 8 = K (0 + 3) (0 - 1) (0 - 4)

or, k = - 2

Now, f(x) = - 2 (x + 3) (x - 1) (x - 4)

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Joe is using the function E = 1.89x + 2.89y to minimize his expenses when selling
markers and erasers. He has the following constraints.
2x + y > 10
x + 2y > 8
X>0
y>0
What is the minimum value of E?
$28.90
$9.45
$15.12
$13.34

Answers

D I think 13.34

Step-by-step explanation:

Ralph’s shirt company sells t-shirts for $7.50 each with a flat rate of $10 for shipping. Frank’s t-shirt company sells t-shirts for $10 each with free shipping.

A: Write an equation to represent each T-Shirt company.
Ralph's:_______________
Frank's:_______________

B: Solve the system of equations by using the graph.

C: What does the solution mean in the context of the solution?

Answers

Answer:

A: Ralph y = 10 + 7.50x

Frank y = 10x

B: x = 4, y = 40

C: x = 4 means that in order for the companies to make the same amount of money, they have to sell 4 shirts each. When the companies sell 4 shirts (or multiples of 4) they are making the same amount of money.

Step-by-step explanation:

Because both equations are equal to y, set them equal to each other.

10x = 10 + 7.50x

2.5x = 10

x = 4

Plug in x to a y equation.

y = 10(4)

y = 40

If you were to deposit 2000 in an account that earns simple interest of 3.5% per year, how much would the account be worth in 50 years

Answers

Answer:the interest would be $3,500

Step-by-step explanation:  you have to multiply all of the numbers together but change the 3.5% to a decimal of 0.035

Step by step exclamation please

Answers

Answer:

Expression: 48x + 120y & Area = 1,008 square feet

Step-by-step explanation:

12(4x + 10y)

multiple the 12 into 4x + 10y

12 x 4x = 48x

12 x 10y = 120y

48x + 120y

x = 6 ft

y = 4 ft

Substitite in numbers

48x + 120y

48(6) + 120(6)

Multiply

288 + 720

Add

288 + 720 = 1,008 square feet

Hudson and his children went into a bakery where they sell cupcakes for $4.75 each
and brownies for $2 each. Hudson has $30 to spend and must buy at least 7 cupcakes
and brownies altogether. If x represents the number of cupcakes purchased and y
represents the number of brownies purchased, write and solve a system of
inequalities graphically and determine one possible solution.

Answers

this question makes no sense because 7 cupcakes each costing $4.75 each would be 33.25 dollars with a $30 limit

-5 + -3 + 9= please help i'm stuck

Answers

Answer:

1

Step-by-step explanation:

Answer:

I believe it is 1

Step-by-step explanation:

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