In ΔFGH, the measure of ∠H=90°, the measure of ∠F=36°, and HF = 5.3 feet. Find the length of FG to the nearest tenth of a foot.

Answer:

The expression consists of two terms, and each term contains two factors.

Step-by-step explanation:

Given - Complete the statement to describe the expression ab + cd

To find - The expression consists of ....... terms, and each term contains .......factors.

Proof -

The given expression has two terms

Term I - ab

Term II - cd

Now,

Each term contains two factors

In Term I - one factor is a and another factor is b

In Term II - one factor is c and another factor is d

Definition used -

It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.

A factor can be a number, variable, term, or a longer expression.

Answer:

1:3

Step-by-step explanation:

.....................

Answer:

b. 84.612cm

c. 314.15cm

d. 5cm

Step-by-step explanation:

b. solve for both triangles and height of rectangle using Sin

c. pi(r)h  3.1415(10)(10)

d. 3*3-2*2=5

Complete question :

Merlin wants to make more money selling fake beards this month than he did last month. All black beards in his shop cost the same amount of money, and all red beards in his shop cost $25. Let B represent the number of black beards and R represent the number of red beards that Merlin can sell to make more money than he made last month. 20B+25R > 350 According to the inequality, how much money did Merlin make last month, and how much does each black beard cost?

Answer:

1.) > 350

2.) $20

Step-by-step explanation:

Number of black beard = B

Number red beard = R

Cost of red beard = 25

Last month inequality :

20B+25R > 350

Amount Merlin made last month :

Revenue from both red and black Bearf, Hence amount realized last year greater than 350

Cost per black beard is the Coefficient of B which is 20

Answer:

x = 5

Step-by-step explanation:

10 + 3 = 30 - 17

Step-by-step explanation:

the the coefficient of y in the above expression is A(1)

Given:

The equation is

[tex]y=x^2+2x+3[/tex]

To find:

The vertex form of the given equation, i.e., [tex]y=x^2+2x+3[/tex].

Solution:

We have,

[tex]y=x^2+2x+3[/tex]

It can be written as

[tex]y=(x^2+2x)+3[/tex]

Add and subtract square of half of coefficient of x, i.e., [tex]\left(\dfrac{2}{2}\right)^2=1[/tex].

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

[tex]y=(x^2+2(x)(1)+1^2)+2[/tex]

[tex]y=(x+1)^2+2[/tex]                   [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

Therefore, the required form of given function is [tex]y=(x+1)^2+2[/tex].

Answer:

let angle e be x

x+4x+10=180°[by linear pair]

5x+10=180°

5x=180-10

5x=170

x=170/5

x=34

angle E=34°

angle E+angle C+angle D=180°[by angle sum property]

34°+70°+2x=180°

104°+2x=180°

2x=180°-104

2x=76°

angle d=76°

Answer:

B. 3.5 feet

Step-by-step explanation:

The part leaning against the wall is the hypotenuse while the height of the ladder off the ground is the opposite and the distance of the ladder from the house is the adjacent side.

Given the following data;

Hypotenuse = 12.5 ft

Opposite = 12 ft

To find the adjacent side, we would use the Pythagorean theorem;

Hypotenuse² = opposite² + adjacent²

Substituting into the formula, we have;

12.5² = 12² + adjacent²

156.25 = 144 + adjacent²

Adjacent² = 156.25 - 144

Adjacent² = 12.25

Taking the square root of both sides, we have;

Adjacent = 3.5 feet.

Therefore, the distance of the ladder from the house is 3.5 feet.

Answer:

Answer is in the photo. I can only upload it to a file hosting service. link below!

is.gd/qKzpBU

Answer:

v=13.56

Step-by-step explanation:

v - 4.6 = 8.96

v = 8.96 + 4.6

v = 13.56

Answer:

V=13.56

Step-by-step explanation:

hope it helps

have a great day

Answer:

a. a×3= -30

a= -30-3

a= 33

Answer:

Step-by-step explanation:

Answer:

1 inch

Step-by-step explanation:

We would have to convert rick's friends height to inches

1 feet = 12 inches

Friend's height = (12 x 5) + 11 = 71 inches

Difference in height = 72 - 71 = 1

Answer:[tex]60+0.75x[/tex]

Step-by-step explanation:

Given

Veronica charges $60 for each tutoring session

Also, there is an additional charge of $0.75 per mile

Suppose she drive x miles and the total cost is represented by C

the additional cost of driving is [tex]0.75\times x=0.75x[/tex]

[tex]\therefore[/tex] The total cost for the session will be the sum of fixed cost and variable driving cost

[tex]\Rightarrow C=60+0.75x[/tex]

Answer:

95°

Step-by-step explanation:

Since both angles are supplementary, they have the same degree.

If angle B = 95°, angle A is also = 95°

Answer:

[tex]n = \frac{t - 2}{3} [/tex]

Step-by-step explanation:

1) Subtract 2 from both sides.

[tex]t - 2 = 3n[/tex]

2) Divide both sides by 3.

[tex] \frac{t - 2}{3} = n[/tex]

3) Switch sides.

[tex]n = \frac{t - 2}{3} [/tex]

Therefor, the answer is n = t-2/3.

Answer:

Step-by-step explanation:

∠BEF  = ∠CFE             {Alternate interior angles}

5x - 10 = 4x + 20           {Subtract 4x from both sides}

5x - 4x - 10 = 20

        x - 10 = 20          {Add 10 to both sides}

             x  = 20 +10

x = 30°

Answer:

y = 6x - 20

Step-by-step explanation:

Perpendicular slope = 6

(3, -2)

y - y1 = m(x - x1)

y + 2 = 6(x - 3)

y + 2 = 6x - 18

y = 6x - 20

Answer:

Solution given:

equation of a line is:

y=-⅛x+4.......[1]

Comparing above equation with y=mx+c

we get

slope [m]=-⅛

let slope of another line is M

since the Lines are perpendicular

so m ×M=-1

we get

M=8

again

the another line passes through(x1,y1) (3,-2)

Equation of another line becomes:

(y-y1)=m2(x-x1)

(y+2)=8(x-3)

y+2=8x-24

8x-y=24+2

8x-y=26

[tex] \frac{8x}{26} - \frac{y}{26} = 1[/tex]

[tex] \frac{4x}{13} - \frac{y}{26} = 1[/tex]

is a required equation of a line in slope intercept form.

Answer:

18

Step-by-step explanation:

Answer:

Use substitution to receive: 18

Step-by-step explanation:

6a - 4b when a = 5 and b =  3

6(5) - 4(3)

30 - 12 = 18

Answer:

the answer is 5ft wide

Step-by-step explanation:

Hope this helps!

Answer:   17

Step-by-step explanation:

You simply jusr divide the area with the lenght given

Answer:

u=17kilometres

Step-by-step explanation:

area of parllelogram =base×height

289km²=17×u

u=289/17=17km

Answer:

<D is congruent to <B

Step-by-step explanation:

They both have the 3 lines indicated on them

Answer:

(2x+9)^2

Step-by-step explanation:

Factor the equation by using the perfect square rule: a^2+2ab+b^2=(a+b)^2 or a^2-2ab+b^2=(a-b)^2 depending on the trinomial

Answer:

The total would be $80.52. The tip was $12.28

Step-by-step explanation:

18% of 68.24 is 12.2832. I just rounded and called it 12.28. From there I just added it to 68.24 and got 80.52.

Answer:

12.1 inches

Step-by-step explanation:

Since the length of the rectangular painting is (2x + 5) inches and its width is x inches, it area A = (2x + 5)x square inches = 2x² + 5x.

Also, A = 420 square inches. So,

2x² + 5x = 420

2x² + 5x - 420 = 0

diving through by 2, we have

2x²/2 + 5x/2 - 420/2 = 0/2

x² + 5x/2 - 210 = 0

adding halt the coefficient of x squared to both sides, that is (5/2 ÷ 2)² = (5/4)² to both sides, we have

x² + 5x/2 + (5/4)² - 210 = 0 + (5/4)²

Simplifying, we have

(x + 5/2)² - 210 = 25/16

adding 210 to both sides, we have

(x + 5/2)² - 210 + 210 = 25/16 + 210

(x + 5/2)² = 25/16 + 210

(x + 5/2)² = (25 + 3360)/16

(x + 5/2)² = 3385/16

taking square root of both sides, we have

√(x + 5/2)² = ±√(3385/16)

(x + 5/2) = ±√3385/4

(x + 5/2) = ±58.18075/4

(x + 5/2) = ±14.55

x = -5/2 ±14.55

x = -2.5 ±14.55

x = -2.5 - 14.55 or -2.5 + 14.55

x = - 17.05 or 12.05

Since x = width and it cannot be negative, we choose the positive answer.  So, x = 12.05 inches ≅ 12.1 inches (to the nearest tenth)

Answer:

-18x+4

Step-by-step explanation:

you simply distribut the negative 6:

so -6 times 3x would be -18x

and -6 times -2/3 would be positive 12/3 or 4