The following octagon is formed by removing four congruent right triangles from a rectangle. What is the total area of
the octagon?
44 cm 2
52 cm 2
10 cm 2
58 cm 2

Answer:

C

Step-by-step explanation:

Answer:

D cannot be used. first 3 are correct

Step-by-step explanation:

Answer:

its 10 points not 50

Step-by-step explanation:

Consider the triangle ABD,

Here,

AB = 5

BD = 15

AD = s

As we know,

In a triangle, the sum of lengths of two sides is greater than the third side.

So,

[tex]5 + 15 > s[/tex]

[tex]15 + s > 5[/tex]

[tex]s + 5 > 15[/tex]

Now,

To satisfy the equation, the value of s can possibly be 11, 12, 13, 14, 15, 16, 17, 18, 19

Answer: the value of s is 17 units

Step-by-step explanation: youre welcome

Answer:

The answer is A.

Step-by-step explanation:

Answer:

24yrds is (a) 24.12yrds is (b) 64yrds is (c) And that's all i can do, don't get mad at me please.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

180-118=42 so angle c=42

add 42 +76 =138

in a triangle all degrees ad up to 180 so

subtract 138 from 180=42

Answer:

B) 42 degrees

Step-by-step explanation:

If we're looking for the measure of angle E, we need to know the measures of angles D and C too. (Otherwise we just have nothing to work with.)

So they already give us angle D's measurement, which is 76; we just have to find the smaller angle at C and then solve for E. If this doesn't make sense, just look at C; there's a big angle (118) and a small one that we don't know. We have to find the small one.

Well at C there's just a straight line, so we can assume that the big angle and the small angle add up to 180 degrees, because straight angles are always 180 degrees.

Now to get the small angle, we can take 118 away from 180 to get 62, which will be the measure of the smaller angle. (Comment if you don't know why I did this.)

Now that we know two out of three measures in the triangle, we can find the measure of angle E. All triangles' angles add up to 180 degrees, so we can take away 76 (measure of D) and 62 (measure of small C) from 180 to get the measure of E: 180 - 76 - 62 = 42

So the measure of angle E is 42.

Answer:

C

Step-by-step explanation:

Answer:

B 89 points

Step-by-step explanation:

you calculate the mean, basically trial and error. So you add one of the answers to 68+80+73+72 and then divide by 5 because there are five tests

hope this helped<33

Answer:

1023

Step-by-step explanation:

[tex] S_n = \dfrac{a(1 - r^n)}{1 - r} [/tex]

a = first term

r = common ratio

n = number of terms

Here we have

a = 1

r = 2

n = 10

[tex] S_{10} = \dfrac{1(1 - 2^{10})}{1 - 2} [/tex]

[tex] S_{10} = \dfrac{1 - 1024}{-1} [/tex]

[tex] S_{10} = \dfrac{-1023}{-1} [/tex]

[tex] S_{10} = 1023 [/tex]

Of course, since 10 is not such a large number of terms, you can simply do this:

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 = 1023

i’m doing the first one.

the filled in circle goes to the 8 and put an arrow facing the right.

inequality-

x ≥ 8

Answer:

-98

Step-by-step explanation:

hope this is right

Answer:

-98

Step-by-step explanation:

a negative number is the opposite of a positive number

Answer:

4 feet by 3 feet

Step-by-step explanation:

I hope this helped you out

Answer:

A

Step-by-step explanation:

The reason it is A is because

It goes in biggest to lowest A B C D

C and B don't follow that so we are left with A and D

In answer D   C and B are too close in percentage therefore it cannot be D

Therefore your answer is A

Hope this helped!

Answer:

The value of x is 2

Step-by-step explanation:

Diameter = 2r -------------------------------------------------------------------(1)

where r is the radius

The value of the diameter = 32 m   and  radius is given to be 4(x+2)

substitute the above into equation (1)   and then solve for x

32  =  2 [ 4(x + 2)]

first open the inner bracket

32 = 2[4x + 8}

then open the outer bracket

32 = 8x + 16

subtract 16 from both-side of the equation

32 - 16 = 8x +16 - 16

16 = 8x

Divide both-side of the equation by 8

16/8  = 8x/8

2 = x

x = 2

Therefore, the value of x is 2

Answer:

The angle for the top of the triangle is 79. For the right corner would be 56. Then going to the bottom of the blue triangle vertice would be 75. The missing angle next to that one would be 55/

Step-by-step explanation:

Answer:

126 degrees

Step-by-step explanation:

A straight line makes a 180 degree angle. Since we know one side is 54, just subtract 54 from 180.

Answer:

C

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Answer:

25 + 11

Step-by-step explanation:

As it is summing up by odd numbers

so 16+9 is 25

and then 25 + 11 as eleven is the next odd number after 9

Answer: 25+11

HOPE THIS HELPS

Answer:

so its either 13/20

Step-by-step explanation:

if you get this wrong sorry:(

Answer:

A

Step-by-step explanation:

Answer:

A) 107 inches2

Step-by-step explanation:

4*16= 64

64/2 = 32

9+16 = 25

25/2 = 12.50

12.50*6 = 75  

32 + 75 = 107

Got it right in USA TESTING

Answer:

1. Onesimus is the box 1

2. Gauls is box 8

3. Tarsus is box 3

4. Damascus is box 6

5. Ephesus is box 9

6. Colossae is box 12

7. Thessolonica is box 4

8. Ananias is box 2

9. Philippians is box 7

10. Tychicus is box 10

11. Phoebe is box 5

12. Epaphrase is box 11

Step-by-step explanation:

Hope this helps.

Answer:

The mode would be 10

Step-by-step explanation:

Because it is there more than the others

hope this helps! =D

Answer:

10

Step-by-step explanation:

Answer:

6x^2 im pretty sure thats whats its asking for

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

you divide 266 by 14

Answer:

19

Step-by-step explanation:

266 ÷ 14 = 19

Answer: A softball player will need to raise more.

Step-by-step explanation:

The softball team needs to raise $318.12 among the twelve girls on the team. Each softball player needs to raise:

$318.12 ÷ 12 = $26.51

The hockey team needs to raise $391.92 among the 24 boys on the team. Each hockey player will raise:

$391.92 ÷ 24 = $16.33

A softball player will raise $26.51 while a hockey player will raise $16.33. Therefore, a softball player will need to raise more.

As 2x³ - 3x² + x is completely divisible by x - 1 it is a factor of the polynomial.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given a polynomial 2x³ - 3x² + x which is being divided by x - 1.

Now, If 2x³ - 3x² + x is divisible by x - 1 then x = 1 is a root of the polynomial

2x³ - 3x² + x.

Therefore,

2(1)³ - 3(1)² + 1 = 0

2 - 3 + 1 = 0.

3 - 3 = 0.

0 = 0.

So, The binomial x - 1 is a factor of the polynomial.

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Let x represent number of rabbits and y represent number of chickens.

We have been given that Jessie told her friends that there were total 30 heads for both animals. This means that there are total 30 animals.

[tex]x+y=30...(1)[/tex]

[tex]y=30-x...(1)[/tex]

We have been given that Jessie only had chicken and rabbits. We know that a rabbit has 4 legs, so total number of legs for x rabbits would be [tex]4x[/tex].

We know that a chicken has 2 legs, so total legs of y chickens would be [tex]2y[/tex].

Since all animals has 76 legs in all, so we can represent this information in an equation as:

[tex]4x+2y=76...(2)[/tex]

Upon substituting equation (1) in equation(2), we will get:

[tex]4x+60-2x=76[/tex]

[tex]2x+60=76[/tex]

[tex]2x+60-60=76-60[/tex]

[tex]2x=16[/tex]

[tex]\frac{2x}{2}=\frac{16}{2}[/tex]

[tex]x=8[/tex]

Therefore, Jessie have 8 rabbits on his farm.

Number of chickens would be [tex]y=30-x\Rightarrow 30-8=22[/tex].

Therefore, Jessie have 22 chickens on his farm.

No map given but it shouldn't matter.

E is the 5th letter, L the 12th.

Start at S(6,12).  End at E(10,5)

The vector between them, E-S=(4,-7)

Each unit is 1/16 of a mile, though that probably doesn't matter that much.

Doug has to stay on the grid, so has to run |4|+|7|=11 units.  At 30 mi/hr that takes (11/16)/30 =  0.022916 hours.

Bert can go diagonally, so flies √(4²+7²)=√65 ≈ 8.06 units.  At 20 mi/hr that takes (8.06/16)/20 = 0.025194 hours.

Answer:  Doug wins

Why? Because it's quicker to cover 4+7 at 30 mph than it is to cover √(4²+7²) at 20 mph.  That is, Doug is 1.5 times faster and the 1.5 times the diagonal distance is more than the grid distance.

Answer:

Doug wins. He finishes in 1.38 minutes. Bert takes 1.51 minutes.

Step-by-step explanation:

Each city block is a square 1/16 mile by 1/16 mile.

From 6th Av and L Street to 10th Av and E Street, they need to go 4 avenues and 7 streets over. These two distances along blocks are the legs of a right triangle. The right triangle has legs of length 4 * 1/16 mile and 7 * 1/16 mile.

leg1 = 4 * 1/16 mile = 0.25 mile

leg2 = 7 * 1.16 mile = 0.4375 mile

The hypotenuse of the right triangle can be calculated by the Pythagorean theorem.

a^2 + b^2 = c^2

(0.25 mile)^2 + (0.4375 mile)^2 = c^2

c = 0.50389

The direct distance from one corner to the other is 0.50389 miles.

The bird travels this distance since the bird can fly above the streets.

The dog has to travel along the legs of right triangle by running in the streets and avenues. The dog travels 0.25 mile + 0.4375 mile = 0.6875 miles

Now we need to see what takes less time:

Bird: distance of 0.50389 miles at 20 mph, or

Dog: distance of 0.6875 miles at 30 mph

We start with the formula for speed:

speed = distance/time

s = dt

Now we solve it for time:

st = d

t = d/s

Time equals distance divided by speed.

Now we find the times for the bird and for the dog.

Bird:

t = d/s = (0.50389 mi)/(20 mi/h) = 0.02519 hours = 1.51 minutes

Dog:

t = d/s = (0.6875 mi)/(30 mi/h) = 0.0229 hours = 1.38 minutes

The bird takes 1.51 minutes, and the dog takes 1.38 minutes.

The dog takes less time to get there, so the dog wins.

Answer:

3 units.

Step-by-step explanation:

If you view the triangle face in halves, the bottom leg is  units as 8/2 = 4. The hypotenuse is 5 units given in the centre of the triangular prism. You can then use the Pythagorean theorem to calculate that the height is 3.  

Answer:

58.4 Degrees

Step-by-step explanation:

Look at the attachment

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The measure of the third angle of a triangle is 58.4°.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The sum of all the angle of the traingle is always 180°.

31.8° + 89.8° + x = 180°

x = 58.4°

Hence, the measure of the third angle of a triangle is 58.4°.

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