What is m triangle FIG?

Answer:

P = 5.4641b cm.

Step-by-step explanation:

If the triangle ABC is isosceles and m∠BAC = 120°, we have that:

[tex]mACB = mABC = (180-120)/2 = 30\°[/tex]

Then, in triangle ABH, we have:

[tex]mABH + mBHA + mHAB = 180\°[/tex]

[tex]30\° + 90\° + mHAB = 180\°[/tex]

[tex]mHAB = 60\°[/tex]

If m∠BAC is 120°, we have:

[tex]mHAB + mHAC = 120\°[/tex]

[tex]m∠HAC = 60\°[/tex]

Now we can find the length of AH using the sine relation of angle m∠HAC:

[tex]sin(mHAC) = DH / AH[/tex]

[tex]0.866 = b / AH[/tex]

[tex]AH = b / 0.866 = 1.1547b[/tex]

Now, to find the length of HB and AB, we can use the tangent and cosine relation of the angle m∠HAB:

[tex]tan(mHAB) = HB / AH[/tex]

[tex]1.7321 = HB / 1.1547b[/tex]

[tex]HB = 1.7321 * 1.1547b = 2b[/tex]

[tex]cos(mHAB) = AH / AB[/tex]

[tex]0.5 = 1.1547b / AB[/tex]

[tex]AB = 1.1547b / 0.5 = 2.3094b[/tex]

So the perimeter of triangle ABH is:

[tex]P(ABH) = AB + HB + AH[/tex]

[tex]P(ABH) = 2.3094b + 2b + 1.1547b[/tex]

[tex]P(ABH) = 5.4641b[/tex]

The relation of a and b can be calculated using the tangent relation of the angle m∠HAC:

[tex]tan(mHAC) = DH / AD[/tex]

[tex]1.7321 = b / a[/tex]

[tex]b = 1.7321a[/tex]

Answer:

A

Step-by-step explanation:

Answer:

You first need to convert everything to minutes:

12 noon = 12 x 60 = 720 minutes

9 am = 9 x 60 = 540 minutes

Let x = number of minutes before noon

The time now is 12 noon -x = 720 -x minutes

48 minutes ago it was 720-x-48

720 -x - 48 = 540 + 2x

720-48-540 = 3x

x = 44 minutes

It is 44 minutes before noon, or 11:16 am

Answer:

9:00 am -------------------- 12:00pm ( There are 180 minutes between them)

Go 48 minutes back (132 Minutes between them)

That time is divided by 2

(4x minutes past 9:00 and x minutes left to reach 12:00)

132/3 = 44 minutes are left

Answer:

49π or 153.938 mm²

Step-by-step explanation:

Area of a Circle Formula: A = πr²

Since we are given radius r, simply plug it into the formula:

A = π(7)²

A = 49π

A = 153.938

Answer:

Step-by-step explanation:

Pleased to help u....

Answer:

24

Step-by-step explanation:

PQ is equal to QR, therefore QR=3

Draw a perpendicular line down from R to line TS to form a triangle and since PT=6, the height of the right angle triangle would be 3.

The base of the right triangle would be 7-3=4. Using pytag. theorem [tex]\sqrt{4^{2}+3^2 }=5[/tex]

Therefore RS=5.

So now we can sum up everything: PQ+PT+TS+RS+QR= 3+6+7+5+3=24

Answer:

Sh. 9000

Step-by-step explanation:

John : Peter = 2 : 1

John/peter = 2/1

John = 2 Peter.... (1)

Amos : John = 4:3

Amos/John = 4/3

Amos = 4/3 John.. (2)

From (1) & (2)

Amos = 4/3 * 2 Peter = 8/3 Peter.... (3)

Since,

Amos + John + Peter = 51000

Therefore,

8/3 Peter + 2peter + Peter = 51000

(8+6+3)/3 *Peter = 51000

17/3 * Peter = 51000

Peter = 51000 * 3/17

Peter = 3000 * 3

Peter = 9000

Hence, amount received by Peter is Sh. 9000.

Answer:

The zeroes of a quadratic equation are the points on the graph where it lies on the x-axis.

The vertex is the point where it is the maximum or minimum value of x or y depending on the symmetry.

The symmetry is the line where it cuts the graph through the vertex of the graph dividing it into two equal parts that mirror each other.

The quadratic formula, factoring, and completing the square are the methods used to solve a quadratic equation.

f(x) + 7 shifts the graph 7 units up, f(x +7) shifts the graph 7 units to the left

Step-by-step explanation:

Answer:

11.4

Step-by-step explanation:

Proportions.

AB/ED=BC/DF

x/3.8 = 15/5

x=11.4

Answer:

x^2+2x-15

Step-by-step explanation:

x^2+5x-3x-15

=x^2+2x-15

Answer:

x² + 2x -15

Step-by-step explanation:

by using FOIL method (see attached for reference),

(x-3)(x+5)

= (x)(x) + (x)(5) + (-3)(x) + (-3)(5)

= x² + 5x - 3x -15

= x² + 2x -15

Answer:

√63 can be written as

√ 9 × 7 = √ 9 × √7 = 3 × √ 7

= 3√7

Hope this helps you

Answer: [tex]3\sqrt{7}[/tex]

Step-by-step explanation:

Separate [tex]\sqrt{63}[/tex] into [tex]\sqrt{7}[/tex] and [tex]\sqrt{9}[/tex].  Then simplify [tex]\sqrt{9}[/tex] into 3.  Thus, the simplified version of [tex]\sqrt{63}[/tex] is [tex]3\sqrt{7}[/tex]

Answer:

4d

Step-by-step explanation:

Am I supposed to simplify this?

-3c+5d+3c-d

-3c+3c+5d-d

0+4d

4d

Let me know if this helps :)

Answer:

= 4d

Step-by-step explanation:

-3c+3c = 0

5d-d = 4

-3c+5d+3c-d=4d

Answer:

volume-24 cm³

total surface area-12 cm²

Step-by-step explanation:

Answer:

Value of y = 3

Step-by-step explanation:

Given:

y-2<2 ........Eq1

3y+10>16.........Eq2

Find:

Value of y

Computation:

y-2<2

Add 2 both side,

y-2+2<2+2

y < 4

So y = (0,1,2,3)

Put y = 3 in both equation:

y-2<2

3-2<2

1<2

3y+10>16

3(3) + 10 >16

19>16

Both equation get satisfies by y = 3

So, Value of y is 3

Answer:

0.75

Step-by-step explanation:

Since we use the base 10 decimal system, first convert 3/4 to out of 100:

3/4 = 75/100

We divide 75 by 100 to get 0.75

Answer:

1/8, 2/5 , 1/2, 3/4

Step-by-step explanation:

1/2= 0.5

1/8= 0.1

3/4= 0.8

2/5= 0.4

just arrange them in the order from smallest to largest......

Answer:

⅛ < ⅖ <  ½ < ¾

Step-by-step explanation:

First, rewrite the fractions so that they all have the same denominator.

The new denominator should be the lowest common multiple of the original denominators.

The L.C.M. of 2, 8, 4, and 5 is 40.

When multiplying the denominator to 40, make sure you multiply the numerator with the same value you use to multiply the denominator.

1/2 = 1x20 / 2 x 20 = 20/40

1/8 = 1x5 / 8x5 = 5/40

3/4 = 3x10 / 4x10 = 30/40

2/5 = 2x8 / 5x8 = 16/40

When all the denominators are the same, we can compare the numerator. The greater the numerator, the greater the fraction is.

Between 20, 5, 30, and 16, the smallest is 5, then 16, 20 and greatest is 30.

Since ascending order means listing them out from smallest to greatest, the order should be:

⅛ < ⅖ <  ½ < ¾

9514 1404 393

Answer:

  33.9 m

Step-by-step explanation:

The relationship between the building height (h), the shadow length (s), and the angle of elevation of the sun (α) is ...

  tan(α) = h/s

  h = s·tan(α) = (18 m)tan(62°) ≈ 33.853 m

The building is about 33.9 meters tall.

Answer:

The SAS Postulate.

Step-by-step explanation:

In the diagram, the two triangles are congruent. This is because there are two pairs of congruent sides, with a congruent angle in between. The two angles between the sides are congruent because of the Vertical Angle Theorem.

Hope this helps!

Answer:

Step-by-step explanation:

1.The prime factorization of 54 is: 2 x 3 x 3 x 3.

2.The prime factorization of 24 is: 2 x 2 x 2 x 3.

3.The prime factors and multiplicities 54 and 24 have in common are: 2 x 3.

4.2 x 3 is the GCF of 54 and 24.

Answer: GCF(54,24) = 6.

Answer:

6 × 13

Step-by-step explanation:

To find the greatest common factor (GCF), write the prime factorization of each term.

54 = 2×3³

24 = 2³×3

The greatest common factor is the product of each prime number at its lowest exponent.

GCF = 2×3

GCF = 6

Factor:

54 + 24

6 (9 + 4)

6 × 13

Answer:

Hello!

~~~~~~~~~~~~~~~~

Your answer would be (D) 60

~~~~~~~~~~~~~~~`~

Hope this helped you!

Answer: choice B

Step-by-step explanation:

just took the quiz

omm its B. G(x)=(x+8)^2

just took the test

Hey there! :)

Answer:

a = 1

b = -5

c = 6.

Step-by-step explanation:

Recall that in standard form, the coefficients of a quadratic equation are:

f(x)= ax² + bx + c

In the given equation, we can identity the coefficients:

f(x) = (1)x² - 5x + 6

a = 1

b = -5

c = 6.

Answer:

least value of n =4

Step-by-step explanation:

i hope the screenshot of my work broken down step by step helps

Answer:

D) (2,16)

Step-by-step explanation:

Y=12x-8

Y=8x

8x=12x-8

8=12x-8x

8=4x

2=x

Y=8x

Y=16

Answer:

There are no choices, but [tex]\frac{10}{10.75}[/tex] can be changes in the following ways: multiplying the numerator and the denominator by the same amount, or dividing the numerator and denominator by the same amount.

Hope it helps <3

Answer:

40/43

Step-by-step explanation:

  The fraction

       10

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

   10 3/4

can be simplified by converting 10 3/4 to the improper fraction 43/4:

       10                    10            40

-----------------  =  _______ = ----------

   10 3/4               43/4            43

Next time, please share any answer choices that are given to you.  Thank you.

Answer:

[tex]\boxed{20(r + 3t)}[/tex]

Step-by-step explanation:

[tex]20r + 60t[/tex]

Factor out 20 from the expression.

[tex]20(r) + 20(3t)[/tex]

Take 20 as common.

[tex]20(r + 3t)[/tex]

Answer:

Option D is correct.

A voluntary response error was made in this design. This type of sampling only targets those who are passionate about a specific act and call in to vote; it is not a good representation of the population.

Step-by-step explanation:

When humans are given the choice whether to participate in a survey like in this question, most often than not, the survey becomes biased.

This is because only the people or set of people who feel strongly the most about the subject matter of the poll will participate in the survey. This favours the group that disagrees as this group, if given the choice to express their opinion, will most likely be the set of people that will readily express their discontent.

Discontent is more visibly and strongly expressed in humans.

In order to remove this bias, people should have been chosen at random and their responses recorded.

Hope this Helps!!!

Question:

On a coordinate plane, a curved line with

minimum values

o   (negative 1.56, negative 6)

o   (3, 0),

maximum value

o  (1.2, 2.9),

crosses the x-axis

o   (negative 2.5, 0),

o   (0, 0),

o   (3, 0),

crosses the y-axis

o   (0, 0).

Which interval for the graphed function has a local minimum of 0?

[–3, –2]

[–2, 0]

[1, 2]

[2,3]

Step-by-step explanation:

From the given information, it 'crosses' the x-axis at (3,0), and this is also a minimum.  Thus the local minimum is at (3,0), so the answer choice for the interval is [2,3]  (not indicated in the posted question, so double check).

The graphed function has a local minimum of 0 at [2, 4]

A special relationship where each input has a single output. It is often written as "f(x)" where x is the input value.

Given that, On a coordinate plane, a curved line with minimum values of (-1.56, -6) and (3, 0), and a maximum value of (1.2, 2.9), crosses the x-axis at (-2.5, 0), (0, 0), and (3, 0), and crosses the y-axis at (0, 0).

This means,

When x = -1.56, the minimum value of the function is y(min) = -6

And,

When x = 3, the minimum value of the function is y(min) = 0

Therefore, the graphed function has a local minimum of 0, when x = 3

That means, the interval which contains this value of x is [2, 4] because, x = 3 ∈ [2, 4]

Hence, the graphed function has a local minimum of 0 at [2, 4]

For more references on function, click;

https://brainly.com/question/21145944

#SPJ3

Answer:

14/39 which is about 35.9%

Step-by-step explanation:

We have a total of 39 students and 14 of which study both Art and Biology

and the rest of the total is unimportant to the question. Since there are 14 students out of 39 we can now do the math and figure out that 14 divied by 39 is right about 35.9 percent.

Can you pick brainliest?

Step-by-step explanation:

D. Graph D the answer is D

Answer:

D. Graph D the answer is D

Step-by-step explanation: