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3 years ago

Which of the following is an arithmetic sequence?

Mathematics

1 answer:

solong [7]3 years ago

6 0

Answer:

Step-by-step explanation:

It's adding 7 every time.

So, it's an arithmetic sequence.

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Help with this math question please

Debora [2.8K]

Part 1: getting the area of the entrance
The entrance has a trapezoid shape.
Area of trapezoid can be calculated using the following rule:
Area of trapezoid = average base * height
The aveage base = (b1+b2)/2 = (8+16)/2 = 12 ft
height of trapezoid = 4 ft
Therefore:
area of entrance = 12*4 = 48 ft^2

Part 2: getting the area of the house:
area of house = area of back porch + area of side deck + area of play room + area of entrance
i- getting the area of the back porch:
The back porch is a square with side length = 6 ft
Therefore:
area of back porch = 6*6 = 36 ft^2
ii- getting the area of side deck:
The side deck is a rectangle whose length is 14 ft and width is 3 ft
Therefore:
area of side deck = 14*3 = 42 ft^2
iii- getting the area of play room:
The play room is a rectangle whose length is 14 ft and width is 16 ft
Therefore:
area of play room = 14*16 = 224 ft^2
iv- area of entrance is calculated in part 1 = 48 ft^2
Based on the above:
area of house = 36 + 42 + 224 + 48 = 350 ft^2

hope this helps :)

5 0

3 years ago

Hey guys I need help plz asap

Ilya [14]

Answer:

Explanation:

AB = BC
=> Triangle ABC is an Isosceles Triangle
Thus, Angle C = Angle A
DE = BE
=> Triangle DEB is an Isosceles Triangle
Thus, Angle D = Angle B

Proof that triangle ABC and DEB are similar:

Angle DBE = Angle A (corresponding angle)
Angle BDE = Angle C (Both Triangle are Isosceles, if one pair of the angle are equal then the other pair should also be equal)

=> Triangle ABC ~ Triangle DEB (AA)

Therefore, Angle E = Angle B

Find angle B:

Angle C + Angle A + Angle B = 180
40 + 40 + angle B = 180
Angle B = 180 - 80
Angle B = 100 degree

But Angle B = Angle E = 100 degree

Therefore, Angle E = 100 degree

3 0

3 years ago

Can somebody write this is quadratic form please

galina1969 [7]

To write an equation in standard form, move each term to the left side of the equation and simplify.

ax2+bx+c = 0ax2+bx+c = 0

Move all the expressions to the left side of the equation.

−17−8x2−4x+3x2 = 0-17-8x2-4x+3x2 = 0

Add −8x2-8x2 and 3x23x2.

−17−5x2−4x = 0-17-5x2-4x = 0

Reorder the polynomial.

5x2+4x+17 = 0

Step-by-step explanation:

I hope this helped-

7 0

4 years ago

Find the missing side or angle.

bonufazy [111]

Answer:

c = 6.1

Step-by-step explanation:

Given that: B = 18° , C = 152°, and b = 4.

The missing side, c, can be determined by applying the sine rule which states that:

$\frac{b}{Sin B}$ = $\frac{c}{Sin C}$

$\frac{4}{Sin 18^{o} }$ = $\frac{c}{Sin 152^{o} }$

c = $\frac{4* Sin 152^{o} }{Sin 18^{o} }$

= $\frac{1.8779}{0.3090}$

= 6.0773

c = 6.1

Therefore, the value of the missing side, c, is 6.1

3 0

3 years ago

there are 800 seats in the varsity theater. during regular preformances, all seats cost $12 each. It costs the owner $275 to pay

r-ruslan [8.4K]

Answer:

The correct answers are the following:

A) P=12n-275

B) 124

C) Decrease by $100

Step-by-step explanation:

A) P=12n-275  - Each person (n) pays $12, then the cost/expense ($275) is subtracted from the income to get the profit.

B) 1,213=12n-275 - Plug in the value for P ($1,213).

1,488=12n - Add $275 to both sides.

124=n - Divide both sides by $12.

n=124  - This the number (n) of people that attended.

C) P=12n-375 - Change the value for expense to $375.

P=12(124)-375 - Plug in the value for n (124).

P=1488-375 - Simplify and find the difference.

P=1,113 - This is your profit.

1,113-1,213=-100  - $100 reduction/decrease of profit (or -$100 to profit)

Hope this helps!

6 0

3 years ago