Wednesday: Solve for x (can't use decimals), must use the rules.
Start by: What are the missing angles of this triangle?
What in the picture hints on the answer above?
X =
16

Given:

The figure of a polygon.

To find:

The area of the polygon.

Solution:

Area of a triangle is

[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]

Area of trapezoid is

[tex]Area=\dfrac{1}{2}(a+b)h[/tex]

Where, a, b are bases and h is the height.

The area of the triangle with base 6 cm and height 8 cm is

[tex]A_1=\dfrac{1}{2}\times 6\times 8[/tex]

[tex]A_1=24[/tex]

Height of the trapezoid is [tex]13-8=5\ \text{cm}[/tex] and the bases are 6 cm, 12 cm. So, the area of the trapezoid is

[tex]A_2=\dfrac{1}{2}(6+12)(5)[/tex]

[tex]A_2=\dfrac{1}{2}(18)(5)[/tex]

[tex]A_2=(9)(5)[/tex]

[tex]A_2=45[/tex]

Now, the total area of the polygon is

[tex]A=A_1+A_2[/tex]

[tex]A=24+45[/tex]

[tex]A=69[/tex]

Therefore, the area of the polygon is 69 sq. cm.

Answer:

Principal = $700

Step-by-step explanation:

Simple interest = principal × rate × time

Simple interest = $28

Rate = 2% = 0.02

Time = 2 years

Principal = x

Simple interest = principal × rate × time

28 = x * 0.02 * 2

28 = 0.04x

x = 28/0.04

x = $700

Principal = x = $700

Answer:

B: 24x2y

Step-by-step explanation:

edge

Since 4x² is the GCF of this polynomial, the mystery term could be given by:

24x²y

It is the multiplication of the GCF of the numeric constants by the GCF of the coefficients.

In this problem, the GCF is of 4x², which means that for the third term:

More can be learned about the greatest common factor at https://brainly.com/question/6032811

Answer:

The area will be:

[tex]A=18(1+\sqrt{3}) \: u^{2}[/tex] or [tex]A=49.18 \: u^{2}[/tex].

Step-by-step explanation:

Using the definition of tangent, we have:

[tex]tan(\alpha)=\frac{6}{\vec{AB}}[/tex]

We know that tan(α) = 1, then we can find AB

[tex]1=\frac{6}{\vec{AB}}[/tex]

[tex]\bar{AB}=6\: u[/tex]

u means any unit.

Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:

[tex]tan(30)=\frac{6}{\bar{BC}}[/tex]

[tex]\bar{BC}=\frac{6}{tan(30)}[/tex]

[tex]\bar{BC}=\frac{6}{1/\sqrt{3}}[/tex]

[tex]\bar{BC}=6\sqrt{3} \: u[/tex]

So, the base of the triangle will be:

[tex]b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u[/tex]

The area of a triangle is given by the following equation:

[tex]A=\frac{b*h}{2}[/tex]

[tex]A=\frac{6(1+\sqrt{3})*6}{2}[/tex]

[tex]A=18(1+\sqrt{3})[/tex]

Therefore, the area will be [tex]A=49.18 \: u^{2}[/tex].

I hope it helps you!

Answer:

11.12 %

Step-by-step explanation:

Given that,

There are 90 early admission tickets.

There are 810 regular tickets.

We need to find the percentage of the tickets sold were early-admission tickets.

[tex]P=\dfrac{90}{810}\times 100\\\\=11.12\%[/tex]

So, the required percentage is 11.12 %.

Answer:

$220.02 - $16.99 = $203.03

$203.03 / $.79 = 257 miles

Answer = 257 miles

Step-by-step explanation:

Hope this helps! Have a great day!

Answer:

d = 20

Step-by-step explanation:

2d + 10 = 50 ( subtract 10 from both sides )

2d = 40 ( divide both sides by 2 )

d = 20

Answer:d=20

Step-by-step explanation:

Step 1: Subtract 10 from both sides.

2d+10−10=50−10

2d=40

Step 2: Divide both sides by 2.

2/d=40/2

d=20

Answer:

high jatdog

Step-by-step explanation:

Answer:

7.80%

Step-by-step explanation:

Given data

Amount borrowed=$3,209

Payback amount= $4,210.21

Simple interest= 4,210.21-3,209= 1001.21

time= 4 years

We know that

SI= PRT/100

1001.21= 3,209*R*4/100

cross multiply

1001.21*100= 12836R

100121/ 12836= R

R=7.80

Hence the rate is 7.80%

Answer:

Step-by-step explanation:

if 15 out of 60 markers are blue

the percentage is 15/60=1/4

0.25*100=25%

Answer:

I think H=5g-2f÷3 ( I'm not sure at all sorry )

Answer:

, so easy

Step-by-step explanation:

3×2.7mm=8.1mm

Answer:

8.1mm

Step-by-step explanation:

equilateral triangle all sides are equal.

If 1 side is 2.7mm what will be the total of three sides. 2.7+2.7+2.7=8.1mm

Answer:

$1.09

Step-by-step explanation:

1) Sales Tax Amount = Net Price x (Sales Tax Percentage / 100)  

2) Total Price = Net Price + Sales Tax Amount

E= $18.53

H= $17.44

18.53 - 17.44= 1.09

You know you need to show your work.

Answer:

second one

Step-by-step explanation:

range is the y values

Answer: The price of the TV including tax is $157.65.

Step-by-step explanation:

Answer: Please see explanation column for answer

Step-by-step explanation:

According to sequence   2, 6, 18, 54, 162

--we can see that it is a geometric sequence since to go from one term to the next requires us to  multiply by 3 which is called the common ratio which is gotten by dividing the next by the previous.

ie term 2/ term 1= 6/2 = 3

term 3/ term 2= 18/6= 3

term 4/ term 3= 54/28= 3

term 5 / term 4= 162/54=3

term 6 will therefore be 162 x3 = 486

and term 7 = 486 x 3=1,458 and so on

Recall that  nth term of GP is

Tn = ar^n-1

Where a= first term

r= common ratio

n= term

such that to easily find particular term, we  plug in the values and calculate

for example the 10th term of the above sequence

Tn = ar^n-1

= 2 X 3 ^(10-1)

2 X 3^9

T10 =39,366

Answer:

x=216°

Step-by-step explanation:

100%=360°

To find 10% divide by 10

10%=36°

x4

40%=144°

in a full circle thered 360°

360-144=216°

x=216°

Answer:

14. (-8, 12)   15. (6, 7)

Answer:

option B 4 DVDs

Step-by-step explanation:

she bought 4 DVDs.

plz mark my answer as brainlist plzzzz. hope this will be helpful to you.

A) 3/4 ÷ 5 1/5.

Answer:

[tex] \frac{15}{104} [/tex]

B) 3/7 ÷ 2 1/2.

Answer:

[tex] \frac{6}{35} [/tex]

C) 5/8 ÷ 6 5/6.

Answer:

[tex] \frac{15}{164} [/tex]

D) 8 3/10 ÷ 5/8.

Answer:

[tex]13 \frac{7}{25} [/tex]

Answer:

3/7

Step-by-step explanation:

you are gonna add all the parts together which is seven and because three parts are blue chances are that it might stop at blue three times out of seven

Answer:

13m

Step-by-step explanation:

[tex]d=50tan(15)=13m[/tex]

The required distance from the boat to the foot of the light house, which is at sea level is 13meter

Given that,

The top of a light house 50 meters high,

The angle of depression of a boat out at sea has a measure of 15°.

We have to determine,

To the nearest meter the distance from the boat to the foot of the light house, which is at sea level.

According to the question,

The angle of depression may be found by using this formula = opposite/adjacent.

The opposite side in this case is usually the height of the observer or height in terms of location.

Therefore, angle of depression = 15degree

Height of the light house = 50m

The distance from the boat of the light house is denoted by d.

Then the distance from the boat of the light house is given as.

[tex]tan15 = \frac{d}{50} \\\\d = 50 \times tan15\\\\d = 50\times0.26\\\\d = 13[/tex]

Hence, The required distance from the boat to the foot of the light house, which is at sea level is 13meter

For more information about Trigonometry click the link given below.

https://brainly.com/question/2773823

Answer: 40%

Step-by-step explanation:

I guessed on this but i got it right

Answer:

40%

Step-by-step explanation:

Answer:

5% change

Step-by-step explanation:

Answer:

33 was the change and it incressed

Step-by-step explanation:

Answer:

10inches

Step-by-step explanation:

Let the length of one side of the square be  a

If the diagonal of a square is 10√2 inches

According to pythagoras theorem

a²+a² = (10√2)²

2a² = 100(2)

2a² = 200

a² = 200/2

a² = 100

a = √100

a = 10

Hence the length of one side of the square is 10inches