The figure below shows the design of a truss to support the weight of a roof. In this truss design, ∠A⩭∠D and ĀF⩭DF.

0.65 is the correct one if not up there try 0.45 other possible one

Step-by-step explanation:

A rational number is defined as any number which can be expressed in fractional p/q of two integers, where 'p' is the numerator and 'q' is the denominator. 'q' can never be zero. A rational number can also be expressed as a terminating decimal. So, when 0.25 is added in 0.45 it becomes 0.65 which is rational.

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

[tex]x(8 + 9) = 34 \\ 8x + 9x = 34 \\ 17x = 34 \\ x = \frac{34}{17} \\ x = 2[/tex]

=> The answer is 2.

Answer:

2. increasing when x > 0

the result of root is a positive number

and since there is no value of neg number in roots so it's increasing when x>0

plus in zero it self has a positive number (0,8)

but u cannot find either it's increasing or decreasing in zero bcoz in first derivative test

when x =0

y= not defined

Answer:

C) [tex] 6.495\: ft^2 [/tex]

Step-by-step explanation:

a = 7 ft, b = 3 ft, c = 5 ft (Given)

Therefore, a + b + c = 7 + 3 + 5 = 15 ft

Let's calculate semi Perimeter of the triangle which is given by s

[tex] s =\frac{a+b+c}{2}=\frac{15}{2} = 7.5 \: ft[/tex]

Now, by Heron's formula, area of triangle ABC is given as:

[tex] A(\triangle ABC) =\sqrt{s(s-a) (s-b)(s-c)} [/tex]

[tex]\therefore A(\triangle ABC) =\sqrt{7.5(7.5-7) (7.5-3)(7.5-5)} [/tex]

[tex]\therefore A(\triangle ABC) =\sqrt{7.5(0.5) (4.5)(2.5)} [/tex]

[tex]\therefore A(\triangle ABC) =\sqrt{42.1875} [/tex]

[tex]\therefore A(\triangle ABC) =6.49519053 [/tex]

[tex]\therefore A(\triangle ABC) =6.495\: ft^2 [/tex]

A pair of angles is known as supplementary angles when the sum of the angles is 180°

Step-by-step explanation:

Answer:

4.44

Step-by-step explanation:

Sales price x sales tax rate = sales tax

83.75 x .053(5.3%) =4.44

3.75 quarts

Brainly plz and thank you

Answer:

10

Step-by-step explanation:

If you look at it 20 is from EG so if FJ is half of EG then FJ is half of 20

Answer:

401 a week

Step-by-step explanation: Fred earns $5.15 dollars plus a tip of $195  if he works for 40 hours the equation would be x=ab+c  X is the week, A is the money per hour, B is the amount of hours and C is the tip   X= 5.15(40)+195       5.15 times 40 is 206 then 206+195 is 401 which is your answer

Answer:

Andrew's residence is higher

Answer:

25.5

Step-by-step explanation:

first find angle E.

remember, all angles in a triangle always add up to 180 degrees.

E = 180 - 90 - 20 = 70 degrees

now we use the law of sines.

ED/sin(20) = DC/sin(70) = EC/sin(D)

EC = x

sin(D) = sin(90) = 1

24/sin(70) = x/1 = x

x = 25.5

Answer:

The value of the determinant is 0.

Step-by-step explanation:

Since it is a 3 x 3 determinant, we can calculate its value by the Law of Sarrus:

[tex]Det = (11)\cdot (98)\cdot (26\cdot y) + (97)\cdot (24\cdot y) \cdot (13) + (22\cdot y) \cdot (12) \cdot (99) - (22\cdot y) \cdot (98) \cdot (13) - (97)\cdot (12) \cdot (26\cdot y) - (11) \cdot (24\cdot y) \cdot (99)[/tex]

[tex]Det = 28028\cdot y + 30264\cdot y + 26136\cdot y - 28028\cdot y - 30264\cdot y - 26136\cdot y[/tex]

[tex]Det = 0[/tex]

The value of the determinant is 0.

Answer:

[tex]b=80[/tex]°

Step-by-step explanation:

The central angles theorem states that the measure of an angle whose vertex is the center of the circle is equivalent to the arc surrounding it. One can apply this here by stating that the measure of the arc surrounding the (90) degree angle is (90) degrees.

The total degree measure of a circle is (360). Thus one can form an equation and solve it to find the measure of the arc surrounding the angle (b). Call the arc surrounding angle (b); ([tex]b_1[/tex]).

[tex](b_1)+(90)+(110)=360[/tex]

Simplify,

[tex]b_1+200=360[/tex]

Inverse operations,

[tex]b_1+200=360[/tex]

[tex]b_1=160[/tex]

The peripheral angles theorem states that if the vertex of an angle formed between a tangent and a chord, is on the circumference (outer edge) of a circle, then the measure of the angle is equal to half of the measure of the surrouding arc. Please note that a chord is a line segment in a circle that intersects the circle in two points. A tangent is a line segment that intersects a circle at one point. One can apply this here by stating the following,

[tex]b=\frac{b_1}{2}[/tex]

Substitute,

[tex]b=\frac{160}{2}[/tex]

Solve,

[tex]b=80[/tex]

Answer:

420.72

Step-by-step explanation:

Answer:

[tex]Area = \frac{1}{2} * AC * D[/tex]

Step-by-step explanation:

From the complete question, we have:

Length D to be perpendicular to side AC

So, the area of the triangle is:

[tex]Area = \frac{1}{2} * Base * Height[/tex]

Since:

Length D is perpendicular to side AC

Then:

[tex]Base = AC[/tex]

[tex]Heigjt =D[/tex]

So:

[tex]Area = \frac{1}{2} * AC * D[/tex]

Answer: -3, 4

Step-by-step explanation:

x · y = -12

x + y = 1 ⇒ y = 1 - x

Bring the y-value(1 - x) into x · y = -12:

[tex]x(1 - x) = -12 \\x-x^{2}=-12\\-x^{2}+x+12=0\\-(x^{2}-x-12)=0\\(x+3)(x-4)=0\\x=-3,x=4[/tex]

Bring the x-values into y = 1 - x and see if the values multiply to -12:

x = -3 ⇒ 1 - (-3) = 4 ⇒ 4 * -3 = -12

x = 4 ⇒ 1 -4 = -3 ⇒ -3 * 4 = -12

Answer:

A. 55%

Step-by-step explanation:

First we should make these into fractions

A. 33/60

B. 36/78

C. 40/89

D. 24/59

these are the fractions, The question wants us to pick the Park with the Greatest Percentage, Not The Greatest Amount, so Lets look at these fractions A. 33/60 Is 55%   B. 36/78 is  46% .   C. 40/89 is 44%   D. 24/59 is about 40%

I also remember doing this on a quiz!!

Hello!

15w + 5w - 15w + 12 = -18 <=>

<=> 20w - 15w + 12 = -18 <=>

<=> 5w + 12 = -18 <=>

<=> 5w = -18 - 12 <=>

<=> 5w = -30 <=>

<=> w = -30 : 5 <=>

<=> w = -6

Good luck! :)

Answer:

[tex]A(-3,2)\: B(-1,-2)\: C(1,3)[/tex]

[tex]A=1/2[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]

[tex]=1/2[-3(-2-3)(+1(3-2)+1(2-(-2))][/tex]

[tex]=1/2(15+1+4)[/tex]

[tex]=1/2(20)[/tex]

[tex]=10[/tex]

[tex]ANSWER: 10 ~units^{2}[/tex]

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

hope it helps...

have a great day!!

The area of triangle with vertices A(-3,2), B(1,-2), and c(1,3) is 12 units^2.

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

The green line represents the height of the triangle = 4 units

The red line represents the base of the triangle = 6 units

Area of the triangle = 1/2 x 6 x 4 = 12 units^2

Learn more about area of triangle here

https://brainly.com/question/19305981

#SPJ2

Given:

The area of rectangular garden is [tex]x^2-4x-21[/tex] square units.

To find:

The length and width of the cucumber field.

Solution:

The area of a rectangle is:

[tex]A=l\times w[/tex]

Where l is length and w is width of the rectangle.

The area of rectangular garden is [tex]x^2-4x-21[/tex] square units.

We need to find the factors of [tex]x^2-4x-21[/tex] to get the length and width.

[tex]A=x^2-4x-21[/tex]

Splitting the middle term, we get

[tex]A=x^2-7x+3x-21[/tex]

[tex]A=x(x-7)+3(x-7)[/tex]

[tex]A=(x-7)(x+3)[/tex]

Area of a rectangle is the product of length and width.

Therefore, the length and width of the rectangle are [tex](x-7)[/tex] units and [tex](x+3)[/tex] units.

Answer:

1.

Step-by-step explanation:

.

Answer:

x = 9

Step-by-step explanation:

First, combine like terms. Like terms are terms with the same variable as well as the same amount of said variables:

4x - 10 + 5x = 71

(4x + 5x) - 10 = 71

9x - 10 = 71

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 10 to both sides of the equation:

9x - 10 (+10) = 71 (+10)

9x = 71 + 10

9x = 81

Next, isolate the variable x by dividing 9 from both sides of the equation:

(9x)/9 = (81)/9

x = 81/9 = 9

x = 9 is your answer.

~

Answer:

No

Step-by-step explanation:

One is used as an enlargement of the object drawn. The image formed can either be smaller or bigger.

Answer:

Step-by-step explanation:

The period of a trig function tells you how much space is taken up by one "up-down-up" of the graph, which is a revolution. Because half of this graph takes place in a span of 2π, then the whole graph will span 4π.

Answer:

2.39

Step-by-step explanation:

Convert everything to a decimal.  

To do that with a fraction divide the numerator by the denominator.  

185 divided by 100 = 1.85

185/100 = 1.85

To convert a percent to a decimal divide the number by 100.

50 divided by 100 = 0.5

50/100 = 0.5

4 divided by 100 = 0.04

4/100 = 0.04

Now add:

1.85 + 0.5 + 0.04 = 2.39