ABCDEFGHI is a regular 9-sided polygon.
B
Diagram NOT
accurately drawn
H
o
G
D
F
E
The vertices B and E are joined with a straight line.
Work out the size of angle BEF.
(4 marks)
angle BEF

Answer:

-8/3

Step-by-step explanation:

First find the slope of the line

3x+y = 1

Solve for y

y = -3x+1

This is in slope intercept form

y = mx+b where m is the slope

The slope is -3

The slopes of perpendicular lines multiply to -1

m* -3 = -1

m = 1/3

The line perpendicular has a slope of 1 / (3) = 1/3

The sum is -3 + 1/3

-9/2 + 1/3 = -8/3

Answer:

x = 1 and x = 3.

Step-by-step explanation:

y = 2[tex]x^{2}[/tex] - 8x + 6

y = 2([tex]x^{2}[/tex] - 4x + 3)

y = 2(x - 3)(x - 1)

So, the x-intercepts would be at...

x-3 = 0

x = 3

and

x - 1 = 0

x = 1

Hope this helps!

Answer:

∠U = 40°

Step-by-step explanation:

in order to find the missing angle of U we need to know the two other angles.

We know that ∠T is 65° and we know that ∠TSF is 105°. Because ∠TSF is an exterior angle, we can subtract 180 to get the interior angle. This would mean that ∠S is 75°.

Using this we can add 65 to 75 then subtract the total from 180 to get ∠U.

This would mean that ∠U is 40°

Answer:

Option A -- 0.46

Step-by-step explanation:

The answer is the x-coordinate of the point of intersection, which is 0.46

The true statement about the equation when it's solved by graphing is A. The curves intersect at approximately x = 0.46.

From the information given, the equation is given as log(6x + 10) = log 1/2x

In this case, we have both sides log function. Therefore, y1 = log(6x + 10) while y2 = log 1/2x.

By using graphing, it can be deduced that one will draw both graph on the same coordinate place.

From the graph, y1 and y2 simply intersect at point (0.46,1.12)

Therefore, the curve intersect at approximately x=0.46.

Learn more about equations on:

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Answer:

190 cards

Step-by-step explanation:

Elle, Jonah and Mandy shared the game cards in the ratio 2 : 3 : 7. The total ratio is:

2 + 3 + 7 = 12

If they were shared equally, they would each receive 152 cards, this means that the total number of cards they received is:

152 * 3 = 456 cards

Elle's share is therefore:

2 / 12 * 456 = 76 cards

Mandy's share is:

7 / 12 * 456 = 266 cards

Therefore, the number of cards that Many received more than Elle is:

266 - 76 = 190 cards

Answer:

27

Step-by-step explanation:

9 is not a perfect cube.

18 is not a perfect cube.

27 is a perfect cube.

∛27 = 3

36 is not a perfect cube.

Answer:

27

Step-by-step explanation:

We want a number time itself times itself

27 = 3*3*3

27 = 3^3

Answer:

lines NP and OP are intersecting

Step-by-step explanation:

they touch at point P

Answer:

X= 48.125

Step-by-step explanation:

Answer:

A) $93,504.818

B) $40,000

C) $53,504.818

Step-by-step explanation:

Yearly contribution ( periodic payment) = $4000

Period (p) = 10years

Additional period(y) = 5years

Annual interest(r) = 9% = 0.09

Future value (FV) =

periodic payment [(1 + r)^y - 1] / r

4000 [(1 + 0.09)^10 - 1 / 0.09]

4000[1.09^10 - 1 / 0.09]

4000[1.3673636 / 0.09]

4000(15.192929)

= 60771.716

If left for five more years:

FV = 60771.716(1 + r)^n

FV = 60771.716(1 + 0.09)^5

FV = 60771.716(1.09)^5

FV = 60771.716(1.5386239549)

FV = $93,504.818

B) MR. HUGHES CONTRIBUTION :

Periodic payment × p ; $4000 was deposited annually for 10 years.

$4000 × 10 = $40,000

C) Interest = Future value - contribution

$93,504.818 - $40,000

= $53,504.818

Answer:

slope is 2   y intercept 7

Step-by-step explanation:

The y intercept is the value when x =0

(0,7) means the y intercept is 7

We can find the slope using

m = (y2-y1)/(x2-x1)

m = ( 11-9)/(2-1)

   = 2/1

  = 2  

Answer:

[tex]cos^{-1}(\frac{5}{13} )[/tex]

Step-by-step explanation:

We can see that x is at ∠A.

To find x:

cosx° = 5/13

x = cos^-1(5/13)

sinx° = 12/13

x = sin^-1(12/13)

tanx° = 12/5

x = tan^-1(12/5)

Out of our answer choices, the only one that fits is the inverse cos(5/13).

Answer:

inverse cos 5/13

Step-by-step explanation:

i took the quiz

Answer:

240, 360, 800

Step-by-step explanation:

We can call the numbers 3x, 7x, and 10x and then we can write:

3x + 7x + 10x = 1600

20x = 1600

x = 80 so the numbers are 3 * 80 = 240, 7 * 80 = 560 and 10 * 80 = 800.

Answer:

105 degrees

Step-by-step explanation:

Angle DEF measures 75°.Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE.

the angles all together is 180 degrees

so 180 - 75 = 105 degrees

The measure of angle CFD is 105 degrees.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

Angle DEF = 75°.

Triangle DEF is isosceles, so Angle DEF Is-congruent-to Angle DFE.

Angle DFE + Angle CFD = 180  (angle on a straight line)

so 180 - 75 = 105 degrees

Thus, Angle CFD = 105 degree

Learn more about the triangles;

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⇒Answer:

[tex]\frac{9}{20}[/tex]

⇒Step-by-step explanation:

Well 45% is saying it is 45% out of 100,

So we can make the following fraction

45/100

Then we simplify by dividing 45 and 100 by 5

Hence, the answer is [tex]\frac{9}{20}[/tex]

Answer:

8 batches

Step-by-step explanation:

Take the total amount of cream and divide by the amount of cream per batch

6 ÷ 3/4

Copy dot flip

6 * 4/3

6/3 *4

2*4

8 batches

Answer:

This is the quantity of output per unit of input.

Step-by-step explanation:

I'm very sure.

Answer:

  [tex]a=-\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]15a-9=0\\\\15a=-9\\\\a=-\frac{9}{15} \\\\a=-\frac{3}{5}[/tex]

Answer:

Step-by-step explanation:

Use distributive property

15a + 9 = 3*5*a + 3*3

           = 3 (5a + 3)

Answer: The slope is 21/41.

Step-by-step explanation:

IF the goals he scores is at a constant rate the we know if you would have to graph it, it will go through the origin.

To find the slope of a constant relationship,you will divide the y value by the x value.Now it indicates to us that x is the number of games while y is the number of goals.

so 42/82 which reduces to 21/41  has to be the slope .

Answer:

it’s 21/41 or A (I got a 100% on the test)

Answer: b⁶

Step-by-step explanation:

The for bⁿ can be optained by multiplying 3 and 2. If there is an exponent on the outside of the parenthesis, you multiply it with the exponent on the inside.

(b³)²=b³ˣ²=b⁶

Answer:

B

Step-by-step explanation:

sohcahtoa for right triangles

Answer:

No, because triangle XYZ is not a right triangle

Step-by-step explanation:

Since this is not a right triangle, we cannot use trig functions

Answer:

hope its wht u require....

Answer: 7, 14, 21, 28

Step-by-step explanation:

Let first multiple = x

So, second multiple = x + 7

Third = x + 14

Fourth = x + 21

According to the question,

=>x + (x + 7)+ (x + 14) + (x + 21) = 70

=>4x + 42 = 70

=>4x = 28

=>x = 7

So, the multiples are 7(x), 14(x+7), 21(x+14), 28(x+21)

Answer:

The surface area formula is 2πr (h + r) where r and h are the radius and height respectively. Since π = 3.14, r = 7, h = 15 the answer is:

2 * 3.14 * 7 * (15 + 7) = 43.96 * 22 = 967.6

Answer:

[tex]\frac{(p + 2)m}{p}[/tex]

Step-by-step explanation:

Given

m cups of water = p cups of rice

Required

Cups of water required for p + 2 cups of rice

The question shows a direct proportion between cups of rice and cups of water.

So, the first step is to get the proportionality constant (k)

This is calculated using the following expression;

[tex]m = k * p[/tex]

Where k represents cups of water and p represents cups of rice

Make k the subject of formula

[tex]k = \frac{m}{p}[/tex]

Let x represents cups of water when cups of rice becomes p + 2;

k becomes:

[tex]k = \frac{x}{p + 2}[/tex]

Equate both expressions of k; to give

[tex]\frac{m}{p} = \frac{x}{p + 2}[/tex]

Multiply both sides by p + 2

[tex](p + 2) * \frac{m}{p} =(p + 2) * \frac{x}{p + 2}[/tex]

[tex](p + 2) * \frac{m}{p} =x[/tex]

[tex]x = (p + 2) * \frac{m}{p}[/tex]

[tex]x = \frac{(p + 2)m}{p}[/tex]

Hence, the expression that represents the cups of water needed is [tex]\frac{(p + 2)m}{p}[/tex]

Answer:

Slope=  [tex]\frac{-3}{5}[/tex]

Step-by-step explanation:

(-2 , -5)  ; (8,-11)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-11-[-5]}{8-[-2]}\\\\=\frac{-11+5}{8+2}\\\\=\frac{-6}{10}\\\\=\frac{-3}{5}[/tex]

Answer: The graph is a linear graph or linear function in the form y= mx + b where m is the slope and b is the y-intercept. You could plot the points (0,5) (1,4) (2,3) (4,1)  and draw a straight line through them.

Step-by-step explanation:

The equation  y= 5-x  can be rewrite as  y = -1x + 5  and it can be identify as a linear equation in slope intercept form. Now you could plot in any value  of x and solve for y.

x        y         (x,y)

0       5          (0,5)   If you put in 0 for x y will be 5

1       4            (1,4)    if you put in 1 for x,  y will be 4

2      3            (2,3)  if you put in 2 for x, y will be 3

4       1             (4,1)   if you put in 4 for x, y will be  1

5       0             (5,0)  if you put in 5 for x y will be 0.

Answer:

m the slope of function=-3

Step-by-step explanation:

to find the slope take two points from the graph:

(0,4), (1,1)

m= y2-y1/x2-x1

m=1-4/1-0

m=-3/1=-3

the equation : y=mx+b find b

when x=0, y=b=4

y=-3x+4

Answer:

i.  {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

ii. The probability of tossing exactly 2 tails is [tex]\frac{3}{8}[/tex] (or 0.375)

Step-by-step explanation:

when a coin is tossed, the outcomes can either be a head or a tail. The tree diagram attached to this answer shows the display of the possible outcomes when a coin is tossed three times.

The possible outcomes when a coin is tossed three times are:

                   {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

where; H represents the head and T represents the tail.

Pr(tossing exactly 2 tails) = [tex]\frac{number of outcome of 2 tails}{total number of outcome}[/tex]

                                          = [tex]\frac{3}{8}[/tex]

                                          = 0.375

The probability of tossing exactly 2 tails is [tex]\frac{3}{8}[/tex] (or 0.375).

Answer:

12

5

13

Step-by-step explanation: