The two triangles in the diagram are similar. There are two possible values of x. Work out each of these values. State ALL of your workings out.

The Greatest Common Factor of 32 and 48 is 16.

The longest necklace she can make is of 16 inches length.

Answer:

9.72

Step-by-step explanation:

53.43/11 = 4.86

4.86*1 = 9.72

Answer:

2 pens will weigh about 9.7 grams.

Step-by-step explanation:

1. First, you divide 53.43 by 11 which gives you 4.85 grams (I used the first 2 digits.)

2. Since you know that 1 pen weighs about 4.85 grams, you multiply 4.85 by 2 to find the amount of grams for 2 pens. The answer is 9.7 grams.

Answer:

sup!

the answer is

a point on (0,-1) and (1,3)

Step-by-step explanation:

hope this helps

Answer:

[tex]3(8x ^{2} + x + 2)[/tex]

factor out 3 polynomial 8xsqurd +x+2 not factored as it doesn't have any rational roots

Answer:

This cannot be simplified any further.

Step-by-step explanation:

Answer:

f(x) > -x + 2

Step-by-step explanation:

First I found the equation of the line.

The y intercept is at 2 so I know to add 2 at the end

The slope is -1 since it is going downwards

Since the top side is shaded, that represents greater than, if it was shaded downwards, it would be less than

Putting all that together, the equation is f(x) > -x + 2

Answer:

8 is -5

9 is (-2,3)

10 is -10

Answer: y = -3/2x + 3

Step-by-step explanation:

The slope is -3/2 (down 3, right 2)

The slope goes before x in graph functions so it’s -3/2x

The line goes through 3 on the y-axis (vertical line), so that’s where + 3 comes in.

y = -3/2x + 3

Answer:

[tex]\mathrm{2.325 \: hours}[/tex]

Step-by-step explanation:

[tex]\frac{139.5}{60}=2.325[/tex]

[tex]\mathrm{2 \: hours\: 19.5 \: minutes}[/tex]

Complete Question:

Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by [tex]x(t) = -4t^2 + 20t + 60[/tex], where is the number of hours since 10 AM:

a) Find an expression for the revenue per hour as a function of x, R(x)

b) Find and simplify, R(x(t))

Answer:

a) R(x) = 2x

b) [tex]R(x(t)) = -8t^2 + 40t + 120[/tex]

Step-by-step explanation:

a) This is a very trivial exercise.

[tex]x(t) = -4t^2 + 20t + 60[/tex]

The number of hot dogs sold per hour is given by x

Charge per hot dog = $2

An expression of revenue per hour,R, as a function of the number of hot dogs sold per hour, x, is therefore: R(x) = 2x

b) [tex]x(t) = -4t^2 + 20t + 60[/tex]

R(x(t)) = 2(x(t))

[tex]R(x(t)) = 2(-4t^2 + 20t + 60)\\R(x(t)) = -8t^2 + 40t + 120[/tex]

Answer:

Use the Vertical Angles Theorem

Step-by-step explanation:

The vertical angles theorem states that angles vertical/opposite to each other are congruent. Use the vertical angles theorem in your proof.

Answer:

See below.

Step-by-step explanation:

Answer:

1) 0

2) -1

Step-by-step explanation:

x ≤ 0, that means x is equal and less than 0 . so the numbers will start from 0,-1, -2 and so on

If we change the sign of the leading coefficient of the polynomial, the graph of the new polynomial will open downwards. The graphs can be seen at the end.

Here we start with the polynomial:

[tex]f(x) = 2x^4 + 2x + 2[/tex]

The leading coefficient is one that multiplies the term with the largest exponent. In this case, is 2.

Changing its sign will cause the polynomial's arms now will open downwards (instead of upwards, as in the original polynomial).

The graphs of both functions can be seen below. The green is the original one, and the blue is the changed one.

If you want to learn more about polynomials:

https://brainly.com/question/4142886

#SPJ2

Answer:

48.56 ft

Step-by-step explanation:

==>Given:

A rectangular figure joined with a half circle with the following dimensions:

Length of rectangle (l) = 10ft

Width of rectangle (w) = 8ft

Diameter of the half circle (d) = the width of the rectangle = 8ft

π = 3.14

==>Required:

Perimeter of the figure = perimeter of a rectangle + permimeter of the half circle

==>Solution:

Perimeter of rectangle = 2(l + w)

Perimeter of half circle = ½ of circumference of a circle = ½πd

Perimeter of the figure = 2(10 + 8) + (½*3.14*8)

= 2(18) + (3.14*4)

= 36 + 12.56

Perimeter = 48.56 ft (to the nearest hundredth)

Answer:56.56

Step-by-step explanation:

For the perimeter of a rectangle

P = 2 × (a + b)

P = 2 × (8 + 10)

P = 2 × 18

P = 36

For the perimeter of a semicircle

P = (pi × r) + (2 × r)

Diameter = 8

Radius = 8/2

Radius = 4

P = (3.14 × 4) + (2 × 4)

P = 12.56 + 8

P= 20.56

Perimeter of this figure

P = r + c

P = 36 + 20.56

P = 56.56

m<TSU=85°

please see the attached picture for full solution

hope it helps..

Good luck on your assignment...

Answer:

7/10 or 0.7 or 70% left.

Step-by-step explanation:

Since he gives 1/5 of the cake to Sali, he gave 1/5 * 30 = 6 cakes away to Sali. Since 10% is 1/10, he gave away 1/10 * 30 = 3 cakes away to Jane. He has a total of 30 - 3 - 6 = 21 cakes left. 21/30 = 7/10, or 0.7, or 70% left.

Answer: 21/30

Explanation this is because 1/5of 30 is 6 and 10 percent of 30 is 3

6+3=9

30-9=21

Therefore Simon has 21/30 cakes left

I hope it helps

Answer:

x = [tex]\sqrt{x+6}[/tex]

Step-by-step explanation:

The question states that it is the square root of the sum of both n and 6. That means n and 6 are added first before square rooted. Between B and C, choose the answer that has the parenthesis around x and 6, like (x + 6).

Answer:

Hope this is correct

Step-by-step explanation:

HAVE A GOOD DAY!

Answer:

see below

Step-by-step explanation:

90/7  ÷ 1 3/4

Change to an improper fraction

90/7 ÷ (4*1+3)/4

90/7 ÷7/4

Copy dot flip

90/7 * 4/7

360 /49

The exact answer is 7 17/49

To estimate I would round 49 to 50 and 360 to 350

350/50 is approximately 7 and since I rounded the numerator down and the denominator up,  the answer would be a little higher

Answer:  17.8 yds

Step-by-step explanation:

The length of the arc of the ENTIRE circle is the circumference (C = 2πr).

We only want a 60° section of that circumference which is 60°/360° = 1/6 of the circumference.

The formula for length of an arc is: [tex]s=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)[/tex]

Given r = 17, θ = 60°

[tex]s=2\pi (17)\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =2\pi(17) \bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =\dfrac{17 \pi}{3}\\\\\\.\quad =\large\boxed{17.8}[/tex]

Answer:

(1+2)3

Step-by-step explanation: it equals 9 the the other expressions  equal 8 0 and 6 so option one is the greatest value.

Answer:

A regular polygon is a polygon with sides of equal length. Some examples include, a equilateral triangle, square, regular pentagon, regular hexagon, regular heptagon, regular octagon, regular nonagon, regular decagon...

Answer:

He's descending at a pace of 2.3 meters per minute.

Step-by-step explanation:

This is because the equation shows us the slope or the speed he's going at.

A= -2.3t - 7

A= Altitude

-2.3 = Slope

- 7 is his starting altitude in meters

But every minute, t, he is going down 2.3 meters. It's easier to think about if you consider, A = y, and, t = x. Now you have the equation, y = -2.3x - 7.

And you graph it to see the progression in slope.

Answer:

Step-by-step explanation:

School allots £1500 to spend on a trip to the theatre.

Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off

therefore 4/5*35 = 28 for the tickets

:

A train ticket for the day will cost £15 each.

therefore total cost for each: 28 + 15 = 43 pounds each

:

If 2 teachers and the maximum number of students attend, how much money will the school have left over?

:

let s = no. of students

43(s+2) =< 1500

43s + 86 =< 1500

43s =< 1500 - 86

43s =< 1414

s =< 1414/43

s =< 32.88, 32 students max

:

find how much left over. plus 2 teachers = 34 people

1500 - 43(34) =

1500 - 1462 = 38 pounds left over

Answer:

465

Step-by-step explanation:

Of means multiply

310% * 150

Change to decimal form

3.10 * 150

465

Answer:

465

Step-by-step explanation:

1 percent of 150 is 1.5.

Multiply 1.5 by 310 to 465

Answer:B

Step-by-step explanation: because when u draw the number line all the negative numbers is written at the left side of the zero and all positive numbers are found at the right side of the zero

Answer: I believe it’s B

Step-by-step explanation:

Answer:

8.12.15

Step-by-step explanation:

mark brainliest plz

Answer:

a). 16% of £50

= 16/100 ×50

= 8

= £8

b). 44% of 781g

= 44/100 × 781

= 343.64

= 343.64g

c). 92% of 1050km

= 92/100 × 1050

= 996

= 996km

Hope this helps.

Answer:

A.

Step-by-step explanation:

We have AC = DF, ∠A =∠D, so

we need AB = DE.

We get SAS congruence.

Answer:

a)=251.2 cm    b)=50240 cm

Step-by-step explanation:

a) The formula for calculating the circumference of a circle is c=d*pie, where D is the diameter of the circle.

Therefore, C = 2 * 40 * 3.14 = 251.2 cm

b) The distance covered by 200 revolutions of the wheel is 200 times the circumference, 200*251.2=50240 cm.So to think about this we can assume that there is a point A on the wheel, the distance that point A travels when it rotates 200 times.

Answer:

450

Step-by-step explanation:

Since we are estimating, we can round 596 to 600, and 77 to 75

So, we need to find 75%, or 3/4 of 600

600 * 3/4 = 150 * 3 = 450

Answer:

450 meters

Step-by-step explanation: