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Answer:

A

Step-by-step explanation:

-3 is less than -2, so A (-3) is the answer.

Only x = -3 is less than -2.

We have the following inequality -

x < - 2

Given is -

x < - 2

Now, it can be seen that -

- 3 < - 2

Therefore, only x = -3 is less than -2.

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Answer:

Total surface area = 536.6 cm²

Step-by-step explanation:

Surface area of the given figure = Area of rectangle (1) + Area of rectangle (2) + Area of rectangle (3) + Area of triangle (4) + Area of triangle (5)

Area of rectangle (1) = Length × Width

                                  = 10 × 15

                                  = 150 cm²

Area of rectangle (2) = 10 × 15

                                   = 150 cm²

Area of rectangle (3) = 10 × 15

                                   = 150 cm²

Area of triangle (4) = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]

                               = [tex]\frac{1}{2}(10)(8.66)[/tex]

                               = 43.3 cm²

Area of triangle (5) = [tex]\frac{1}{2}(10)(8.66)[/tex]

                               = 43.3 cm²

Total surface area = 150 + 150 + 150 + 43.3 + 43.3

                               = 536.6 cm²

Answer:

[tex]50~in[/tex]

Step-by-step explanation:

[tex]perimter=AB+AM+BM[/tex]

[tex]AM=2EM=2(9in)=18in[/tex]

[tex]BM=25E=2(7in)=14in[/tex]

∠m= [tex]180-[/tex] (∠A+∠B)= 180-(70+40)

∠m= 70⇒ AB= AM⇒AB=18

[tex]perimeter=18+14+18=[/tex]

[tex]50~in[/tex]

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hope it helps...

have a great day!!

Answer:

your answer will be 50 in

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Let the altitude from B to AC intersect at point D.  Then BD is a height of the triangle with base AC

ΔABD is a 30-60-90 triangle since m∠A = 30

Therefore, AB = 2(BD)  or BD = AB/2 = (x+3)/2

Area of the triangle = bh/2 = AC(BD)/2 = 4x(x + 3)/(2)(2)

= x(x + 3) = 18

[tex]x^{2} + 3x = 18[/tex]

[tex]x^{2} + 3x - 18 = 0[/tex]

(x + 6)(x - 3) = 0

x = -6  or x = 3

x cannot equal -6, so x = 3

In this exercise we have to use the knowledge of triangle to calculate the value of X, in this way we find that:

[tex]X=3[/tex]

In this way, we can write the treated area of ​​the triangle as:

[tex]bh/2 = AC(BD)/2 = 4x(x + 3)/(2)(2)\\=x(x + 3) = 18\\x^2+3x=18\\x^2+3x-18=0\\(x+6)(x-3)=0\\x=-6 \ or \ x=3[/tex]

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Answer:

1/9 or unlikely

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

Answer:

Any number greater than 12 but not including 12

Step-by-step explanation:

hope it helps u

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Answer:

this is a very easy question all you have to know is your times table.

the working is shown below:

12

×4

--------

48

---------

OR

------

12×4= 48

Step-by-step explanation:

let AB when products meet the ground at c.

Answer: 2, 5

Step-by-step explanation:yes

Answer:

The average rate of change over the interval [2,5] is 3

The average rate of change over the interval [5,7] is -2

The average rate of change over the interval [2,8] is 0

Step-by-step explanation:

in photo

Answer:

Here we have the function:

y = f(x) = 3^x

Using the values:

x and (x + 1)

We need to find that the y-value increases by a factor of 3.

So we need to prove that:

f(x + 1) = 3*f(x).

Or we can see the quotient:

f(x + 1)/f(x) = 3

Here we can find the values:

f(x + 1) = y = 3^(x + 1)

f(x) = y' = 3^x

If we take the quotient, we get:

[tex]\frac{f(x + 1)}{f(x)} = \frac{3^{x + 1}}{3^x}[/tex]

Here we can use the properties:

[tex]a^n*a^m = a^{n + m}[/tex]

[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]

Using these in the quotient equation we get:

[tex]\frac{f(x + 1)}{f(x)} = \frac{3^{x + 1}}{3^x} = \frac{3^x*3^1}{3^x} = \frac{3^x}{3^x}*3 = 1*3 = 3[/tex]

Then:

[tex]\frac{f(x + 1)}{f(x)} = 3[/tex]

[tex]f(x + 1) = 3*f(x)[/tex]

So we found that the y-value increases by a factor of 3 between any two points x₂ and x₁ such that: x₂ - x₁ = 1.

Answer:

DL

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

i believe it is skewed. sorry if its wrong

Step-by-step explanation:

Answer: 132.7 square inches

Area of a circle formula: [tex]\pi r^{2}[/tex]

Because we know that a diameter is twice the size of the radius and the diameter is 13 inches, we can divide 13 by 2 to get 6.5

Plug in this value into the formula, to get [tex]\pi (6.5^{2})[/tex]. Simplify the equation to get [tex]\pi (42.25)[/tex]. Multiply to get 132.7.

Answer:

It's A

Step-by-step explanation:

To find area= pie*raduis*radius

To find raduis you'll divide diameter by two

so 13 divided by 2 is 6.5

6.5*6.5*3.14=132.7

Answer:

nsovurhnvurnvhfbsybvhnfshugb

Step-by-step explanation:

Answer:

that does not make sense ?????????????????????????????????????????

can you make the picture more clear?

Answer:

5+4+6=51 yes

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

z = z

Step-by-step explanation:

first you should combine like terms on the left side of the equation

9z + 7z = 16z

now rewrite

16z-6 = 16z-6

add 6 to both sides

16z = 16z

divide both sides by 16

z = z

Answer:

Both sides are equal. z has no solution. The input is an identity. It is true for all values.

Step-by-step explanation:

9z - 6 + 7z = 16z - 6

16z - 6 = 16z - 6

Both sides are equal. z has no solution. The input is an identity. It is true for all values.

Answer:

Ask every tenth customer over the period of a week.

Step-by-step explanation:

Required

Select which of the options is true

(a) Every 5th male customer

This method will not produce a correct representative sample because only the male customers are surveyed. The opinion of the female customers will not be represented in the sample

(b) Every customer after 5:00pm

This method will not produce a correct representative sample because only the customers who come to the bakery before 5:00pm will not be represented. The opinion of these customers will not be represented in the sample

(c) Every 10th customer over the week

This method will produce a correct representative sample because the opinions of the customers are taken, irrespective of the gender or the time the customer walks into the bakery.

9514 1404 393

Answer:

  200√2 square units

Step-by-step explanation:

The area of a regular polygon with n sides and radius r is given by the formula ...

  A = (n/2)r²·sin(360°/n)

Here, we have n=8 and r=10, so the area is ...

  A = (8/2)(10²)sin(360°/8) = 4·100·√2/2

  A = 200√2 . . . square units

Answer:

Option C: b is parallel which is; y = ½x - 1

Step-by-step explanation:

We know that if the slope of a line is m, then the slope of the line that is perpendicular to it would have be; -1/m.

In this question, m = ½

Thus, the slope of the line that is perpendicular to it is; -1/(½) = -2

However, to find the slope of the line parallel to it would mean that the value of m which is the original slope will remain the same. Original slope = ½, thus the only option with slope as ½ is option C where b is parallel with the equation; y = ½x - 1

Answer:

556.5 cm²

Step-by-step explanation:

Area of trapezium :

Area = 1/2 (a + b)h

a = base length 1

b = base length 2

h = height

From the information given :

Distance between MN and PQ = Height, h = 21 cm

Base MN, a = 28 cm

Base PQ, b = 25 cm

Hence,

Area = 1/2 (28 + 25) * 21

Area = 1/2 (53) * 21

Area = 556.5 cm²

Answer:

★ The answer is $5

Step-by-step explanation:

Hope you have a great day

Answer:

Positive

Step-by-step explanation:

Two negative numbers, no matter how small or large are always positive when multiplied. Same goes for two positive numbers. If it was positive beforehand that means both numbers were either negative or positive. A percentage of a negative number is still negative and a percentage of a positive number is still positive so the answer won't change.

Answer:

Decreased by 4%