Here is a square of side 2a and an equilateral triangle of side a + 1
The perimeter of the square is greater than the perimeter of the triangle.

Work out the range of possible values of a.

Answer:

5 choice, This is an example of causation.

Step-by-step explanation:

The first patient was given medicine that resulted in his recovery, but the second patient was not given medicine that resulted in his non-recovery.

Answer:

10t is the correct answer

Answer:

ii, the mpg for the trucks.

Step-by-step explanation:

A larger standard deviation means more variablilty

Answer:

-2 I guess, your question is poorly formatted

Step-by-step explanation:

3-5= -2

A rotational symmetry implies that the shape remains the same when rotated

Justine's claim is correct

The angle of rotational symmetry is calculated as:

[tex]\theta = \frac{360}n[/tex]

Where n represents the number of sides.

From the complete question, the shape is a regular hexagon.

This means that n = 6.

So, we have:

[tex]\theta = \frac{360}6[/tex]

Divide

[tex]n = 60[/tex]

Other angles of rotational symmetry are:

[tex]n = 60, 120, 180, 240.....[/tex]

120 degrees is part of the list of possible angles of rotational symmetry.

Hence, Justine's claim is correct

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Answer:

(-3, 4)

Step-by-step explanation:

First, substitute y=-2x-2. We have 3(-2x-2)=9-x ---> -6x-6=9-x Then isolate the x. -5x=15 Simplify, we have x=-3. Then we can input this x-value back into one of the equations. We have 3y=9--3 ---> 3y=12 ---> y=4. So the solution to this system is (-3, 4).

Answer:

0.0001t^3-0.016t^2+0.21t+7.4

Step-by-step explanation:

I just added the equations for F and M together.

Answer:

x = 73.4879

Step-by-step explanation:

Answer:

Volume= 117 cm³, hope that helped

Answer:

lK = KE = 23cm

LI = LE = 27cm

Step-by-step explanation:

perimeter of kite LIKE =80cm

If IK=x cm

LI=(x-6) cm

Perimeter =2(a+b)

80 = 2(x+(x-6))

80 = 2(x+x-6)

80 = 2(2x-6)

80/2 = 2x-6

40 = 2x-6

2x = 40+6

2x = 46

x =46/2

x = 23

therefore,IK = 23cm

LI = 23-6 = 27cm

The sum of the numbers expressed in scientific notations is given by: Option B:  [tex]6.82 \times 10^{12}[/tex]

The number is written in the form [tex]a \times 10^b[/tex]  where we have [tex]1 \leq a < 10[/tex]

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

The given expression is:

[tex](3.1 \times 10^5) \times (2.2 \times 10^7)[/tex]

Evaluating the multiplication, we get:

[tex]3.1 \times 2.2 \times 10^5 \times 10^7 = 6.82 \times 10^{5 +7} = 6.82 \times 10^{12}[/tex]

It is because of exponent rule that [tex]a^b \times a^c = a^{b+c}[/tex], and because of commutative property of addition.

Thus, the sum of the numbers expressed in scientific notations is given by: Option B:  [tex]6.82 \times 10^{12}[/tex]

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Answer:

y = 4x – 10

Step-by-step explanation:

slope formula: [tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

point-slope formula: [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

Note: When given two points you only need to pick one for the point-slope formula! Best to choose the positive one so you don't have to deal with the negatives!

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Answer:

Step-by-step explanation:

Average speed is total distance divided by total time.

The relation between time, speed, and distance is ...

  time = distance/speed

The time to travel 5 mi at 35 mi/h is ...

  time = (5 mi)/(35 mi/h) = 1/7 h

30 seconds is (30 s)/(3600 s/h) = 1/120 h, so the total time for this trip is ...

  1/7 +1/120 = (120 +7)/840 = 127/840 hours

At 80 mph, the distance traveled in 1/120 hour is ...

  distance = speed × time = (80 mi/h)(120 h) = 2/3 mi

So, the total distance traveled is ...

  (5 mi) +(2/3 mi) = 17/3 mi

The average speed is then ...

  speed = distance/time

  speed = (17/3 mi)/(127/840 h) = 17·840/(3·127) mi/h = 37 61/127 mi/h

The average speed is about 37.48 miles per hour.

_____

Additional comment

In order for the average speed to be 55.56 mph, the time spent at 80 mph would need to be about 7 minutes 12.6 seconds, for a distance at 80 mph of about 9.61 mi.

Step-by-step explanation:

2/3 + 1/5= 2/15 + 1/15 =3/15 or 1/3

answer: 3/15 or 1/3

Step-by-step explanation:

line slope calculation formula: The difference of the second component is divided by the difference of the first component.

[tex] \frac{7 - 4}{2 - 6} = \frac{3}{ - 4} = - \frac{3}{4} = - 0.75[/tex]

Answer:

16

Step-by-step explanation:

2/8 = x/y (the triangles are similar)

x/y = 1/4

x + y= 1 +4=5

x+y =20

5(a)= 20

a= 4

x=a

y= 4a

so.. x= 4×1=4

y= 4×4=16

Answer:

The answer is 15.50x = 124

Step-by-step explanation:

We can substitute x for any number until we get to 124

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Lee purchased Tshirts for 15.50 each. The tot bill was $124. When x is the number of T shirts, which equation can be used to find the total number of Tshirts Lee purchased.

15.50=124x

124=15.50/x

x/124=15.50

____________________________

Let the number of T-shirts be x

then,

ATQ,

$15.50x = $124

x = $124/$15.50

x = 8

Hence , Lee purchased 8 Tshirts

_____________________________

The withdrawing money from savings would have a negative impact on determining eligibility for a home loan.

If someone is looking for a home loan they should have money in their savings accounts. If they will withdraw the money from the saving accounts then how will they pay back their loans?

So they should not withdraw money and save as much as they can so that they can easily pay back their loans.

Thus withdrawing money from savings would have a negative impact on determining eligibility for a home loan.

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Answer:

its D withdrawing money from savings

Step-by-step explanation:

Answer:

13 cm

Step-by-step explanation:

The triangle perimeter size does not change because all the components rotate and reflect together.

Answer: walk longer or faster

Step-by-step explanation:

she walks two times per week each for 35 mins

so she walks for 1:10 an our and ten mins a week

and she walks 3.0 miles per hour

so she walk a little over 3 mi a week

if she wants to ake it more intense she can walk for an hour each walk

Answer:

A. Walk at 3.5 miles per hour

Step-by-step explanation:

Intensity is how hard you work, so if she wants to improve her intensity she should walk at 3.5 miles per hour.

Hope this helps:)

If I have made a mistake please tell me, I enjoy learning from my mistakes:)

Step-by-step explanation:

Set two equations equal to each other

2x -16 = x+2

x = 18

Answer:

18

Step-by-step explanation:

Make the two equations to each other by subbing out the y

2x - 16 = x + 2

Move the like terms to one side

Subtract x from both sides

2x - 16 = x + 2

-x          -x

x - 16 = 2

Add 16 to both sides

x - 16 = 2

 + 16   + 16

x = 18

X will have to be 18 for these equations to be true.

The volume of the dilated Prism B is about 10 31/32 ft³

An equation is an expression that shows the relationship between two or more numbers and variables.

The height of Prism A is 6 1/2 ft, and The height of Prism B is 3 1/4 ft.

The dilation factor = 3 1/4 ft. ÷ 6 1/2 ft = 0.5

Volume is the product of three sides.

The volume of prism B = Volume of prism A * (dilation factor)³ = 87 3/4 ft³ * (0.5)³ = 10 31/32 ft³

The volume of the dilated Prism B is about 10 31/32 ft³

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Answer:

The answer is [tex]10\frac{2}{25}[/tex].

Step-by-step explanation:

Answer:

c ,two solutions

Step-by-step explanation:

I think I might be right

There no solution to this nonlinear system.

The correct option is B.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We know that the solution of the graph can be seen by x axis touching.

The number of points the curve touches the x axis, there are that number of solution for the curve.

Here the curve touches the x axis only at 0 point.

Thus, the solution of the Equation is No solution.

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Answer:

radius =8.2m

volume=4/3×22/7r×r×r

=4/3×22/7×8.2×8.2×8.2

=2309.56m

Answer:

its B because perimeter is width x2 + lenght x2 so 44=20+2x so that 2x is 24 so x/length is 12cm

Answer:

Answer: B. It is the graph of y = x translated 8 units down.

Step-by-step explanation:

:)

Step-by-step explanation:

I am not sure what you mean by A, B, and C.

the picture does not name the corners or vertices.

but is seemingly asks for the angle x.

remember, the sum of all angles in any triangle is always 180°.

and the sum of all angles around one point on one side of a line is also 180° (as the line cuts a virtual circle in half with its center being the point around which the angles rotate).

when we know all angles except for one, we call the missing angle a supplementary angle (fills up to 180°).

if the angle fills up to 90°, we call that a complementary angle.

so, now look at the triangle. we know 2 angles : the right angle (90°) and the 38° angle.

so, the third angle down left must be

180 - 90 - 38 = 52°

and x is the supplementary angle to 52° :

x = 180 - 52 = 128°

Answer:

144 ft squared

Step-by-step explanation:

Answer:

The answer is: 144 ft squared.

Step-by-step explanation:

Just got done with the (K12)  quiz and this was right.

Answer:

yes = 1 3 6

no = 2 4 5

Step-by-step explanation:

Common ratios:

1 = 3

3 = -2

6 = 5

Answer:

15

Step-by-step explanation:

We will use the Tao function for our use. If there are 4 factors of a number then Tao function has a value of 4.

According to the Tao function, (a1 + 1)(a2 + 1).....(an + 1) = 4. So, by comparison We have two cases.

Case 1: a1 + 1 = 4

So, in that case a1 = 3 and we see there are two cubes less than 50.

Case 2: a1 + 1 = 2, a2 + 1 = 2

So, a1 = 1 and a2 = 1. Thus, it's a pure multiple of linear primes. And we notice there are 13 such numbers.