giving brainliest to first answer!!
Determine the area of the composite figure to the nearest whole number.

A) 62 cm2
B) 147 cm2
C) 188 cm2
D) 260 cm2

Answer:

Step-by-step explanation:

Given

[tex]z(14x -2y)=7[/tex]

Required;

Solve for x, when

[tex]z(14x -2y)=7[/tex]

Divide both sides by z

[tex]\frac{z(14x -2y)}{z} = \frac{7}{z}[/tex]

[tex]14x -2y = \frac{7}{z}[/tex]

Add 2y to both sides

[tex]14x -2y + 2y= \frac{7}{z} + 2y[/tex]

[tex]14x = \frac{7}{z} + 2y[/tex]

Divide both sides by 14

[tex]\frac{14x}{14} = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]

[tex]x = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]

The above expression is the value of x when [tex]z\neq 0[/tex]

To solve for when z = 0, we simply substitute 0 for z

[tex]x = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]

[tex]x = \frac{1}{14}(\frac{7}{0} + 2y)[/tex]

0 cant't divide any number; hence, from the above expression we conclude that

[tex]x = \ u\ n\ d\ e \ f\ i \ n\ e\ d[/tex]

or

x doesn't have a solution

Answer:

d) √2/2

Step-by-step explanation:

cos∠E= 5/5√2= 1/√2=√2/2

Correct option is d)√2/2

Answer:

62○

Step-by-step explanation:

To find the angle all you have to do is subtract 118○ from 180○ to get 62○. Because 180○ is a straight line! :)

Answer:

X = 62

Step-by-step explanation

To start we make x go next to 118 so they make a supplementary angle. We add x and 118 to make 180.

118 + X = 180, OR 180 - 118 = x

X = 62

Answer:

Step-by-step explanation:

1) ∠AED = ∠ BEC

2) ∠AEB = ∠DEC

3) ∠DEC = ∠AEB

4) ∠CEB = ∠AED

Answer: The answer is A. (1, 4)

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Triangle area = (1/2)*b*h

Base = b = 4

Height = h = 8

Area = (1/2) * 4 * 8 =  16

The area of the polygon shown in the figure is 16 unit square.

A polygon is a closed figure made up of three or more line segments connected end to end.

Triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

The area of the triangle is defined as the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

WE can see from the given figure;

The Base = b = 4

The Height = h = 8

The Area of figure = (1/2) * 4 * 8

The Area of figure =  16

Hence, the area of the polygon shown in the figure is 16 unit square.

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Answer:

Question 4. Option C,

Question 5. Option A

Step-by-step explanation:

Question 4.

Take a look at the procedure below;

[tex]34 / 5 = x / 6,\\34 * 6 = 5 * x,\\204 = 5 * x,\\\\x = 40.80\\\\Conclusion - Option C[/tex]

To solve this problem, you could have to cross - multiply, and through simple algebra, isolate x.

Question 5.

If Becky charges an amount per hour per baby, to determine the total amount she would earn, multiply the number of hours by the number of babies taken care of, and multiply that amount by the cost she demands per hour per baby;

[tex]Children = 3,\\Hours = 5,\\Amount Charged = 7,\\\\Profit = 3 * 5 * 7 = 105 Dollars,\\\\Conclusion - Option A[/tex]

Answer:

you are diluting it 8/5 times, or 1.6 times.

You could make 230*1.6 ml of 5 percent lotion.

If you diluted 300 mL of 8% benzocaine lotion to 5%, you will be able to produce 480 ml of 5% lotion.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The amount of benzocaine in 300 ml solution is,

Amount = 0.08 × 300 = 24ml

Since after the dilution the amount of benzocaine will be the same, therefore, we can write,

0.05 of X ml = 24 ml

X = 24/0.05

X = 480 ml

Hence, If you diluted 300 mL of 8% benzocaine lotion to 5%, you will be able to produce 480 ml of 5% lotion.

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Answer:

40 points

Step-by-step explanation:

32 points = 80% or 4/5

if you divide 32 by 4, you get 8+8+8+8=32

that means you need to add 8 to 32 to get the total number of points

Answer:

The required number of outcomes is 4 and the last option is correct.

Important information:

From the given tree diagram, it is clear that the total number of outcomes is 6.

The numbers greater than 1 on the spinner are 2 and 3.

The outcomes that result in a number greater than 1 on the spinner are:

heads, 2

heads, 3

tails, 2

tails, 3

Therefore, the required number of outcomes is 4 and the last option is correct.

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Answer:

1/4

Step-by-step explanation:

# of black marbles/ total # of marbles

3/(3+4+5)

3/12

1/4

Answer:

1/4

Step-by-step explanation:

3 black marbles, 4 white marbles and 5 striped marbles. = 12 marbles

P(black) = number of black / total

             =3/12

               =1/4

Answer: its C

Step-by-step explanation:

Answer: Number 3 is the correct answer.

Step-by-step explanation:

Answer:

MN

[tex]= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}[/tex]

Step-by-step explanation:

From the figure attached,

ΔMON is a right triangle and coordinates of the points M and N are M(0, 2b) and N(2a, 0).

Coordinates of midpoint P → [tex](\frac{2a+0}{2}, \frac{0+2b}{2})[/tex]

From the formula of the distance between two points,

[tex]d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

[tex]\texttt {MN} = \sqrt{(2a-0)^2+(0-2b)^2}\\\\ = \sqrt{4a^2+4b^2}\\\\ = 2\sqrt{a^2+b^2}[/tex]

Similarly, OP

[tex]= \sqrt{(0-a)^2+(0-b)^2}\\\\ = \sqrt{a^2+b^2}[/tex]

Therefore, OP

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

and MN

[tex]= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}[/tex]

Answer:

I’m pretty sure it the third one

Step-by-step explanation:

Answer:

A =10 ft^2

Step-by-step explanation:

We need to find the area of the piece

A = l*w

A = 2/5 * 25

A = 2 * 25/5

A =2 * 5

A =10 ft^2

Answer:

area = 10

Step-by-step explanation:

2/5 x 25= 10

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

KFC or KCF

3/4 times 4/1= 12/4 which is 3

8:3

24 / 3 = 8

9 / 3 = 3

48:18

48 / 2 = 24

18 / 2 = 9

Answer:

A. 8:3

24/3 = 8

9/3 = 3

B. 48:18

48/2 = 24

18/2 = 9

Answer:

x=100

Step-by-step explanation:

Because they are vertical angles, AEG=FEB

You can see that FED+DEB=FEB

Therefore, 80+20=FEB=100

Since FEB=100 and FEB=AEG

AEG=100

Answer:

100°

Step-by-step explanation:

In this question, vertical angles are key. If you didn't know, vertical angles are basically opposites of each other. A pair of vertical angles are equal.

ACE = 20°

FED = 80°

FED and CEG are vertical angles (+the 20 from ACE), so your answer is 100°

hope this helps, brainliest is appreciated.

Answer:

5.9 your welcome

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Subtract the second equation

from the first equation

Hope this helps.

Answer:

Your answer is mean absolute deviation.

Step-by-step explanation:

Answer:

x=8in

Step-by-step explanation:

Let the unknown side=xin

Hypotenuse^2=opposite^2+adjacent^2

Hyp=17in

Opp=xin

Adj=15in

Hyp^2=opp^2+adj^2

17^2=x^2+15^2

17^2-15^2=x^2

289-225=x^2

64=x^2

x=√64

x=8in

Answer:

[tex]x=1/2[/tex]

Step-by-step explanation:

[tex]27 = 3^{4x+1}[/tex]

[tex]3^3 = 3^{4x+1}[/tex]

[tex]3=4x+1[/tex]

[tex]2=4x[/tex]

[tex]2/4=x[/tex]

The value of x in the given equation is 1/2

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given is an equation, [tex]27 = 3^{4x+1}[/tex]

Solving for x,

3³ = [tex]3^{4x+1}[/tex]

Therefore,

3 = 4x+1

4x = 2

x = 2/4

x = 1/2

Hence, the value of x in the given equation is 1/2

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Answer:

[tex]M.A.D = 1[/tex]

Step-by-step explanation:

Given

9, 7, 6, 8, 7, 5

Required

Mean Absolute Deviation

The first step is to calculate the mean of the given data;

[tex]Mean = \frac{\sum{x}}{n}[/tex]

where x = 9, 7, 6, 8, 7, 5 and n = 6

[tex]Mean = \frac{9+ 7+ 6+ 8+ 7+ 5}{6}[/tex]

[tex]Mean = \frac{42}{6}[/tex]

[tex]Mean = 7[/tex]

Subtract mean (7) from each data

[tex]9 - 7 = 2\\7 - 7 = 0\\6 - 7 = -1\\8 - 7 = 1\\7 - 7 = 0\\5 - 7 = -2[/tex]

Return the absolute values of each

[tex]|2| = 2\\|0| = 0\\|-1| = 1\\|1| = 1\\|0| = 0\\|-2| =2[/tex]

Calculate mean of the above absolute values

[tex]Mean = \frac{\sum{x}}{n}[/tex]

[tex]Mean = \frac{2+0+1+1+0+2}{6}[/tex]

[tex]Mean = \frac{6}{6}[/tex]

[tex]Mean = 1[/tex]

Hence, the mean absolute deviation of the given data is 1

Answer:

(3, -7) and (1, 2) are solutions to the equation

Step-by-step explanation:

Simply replace the (x, y ) pair of values in the equation and see if the equality holds:

Pair (0, -8) :

9 (0) + 2 (-8) = -16  therefore this pair is NOT a solution of the equation

Pair (3, -7):

9 (3) + 2 (-7) = 27-14 = 13  therefore this pair IS a solution of the equation

Pair (1, 2):

9 (1) + 2 (2) = 9 + 4 = 13  therefore this pair IS a solution of the equation

Pair (4, -5):

9 (4) + 2 (-5) = 36 - 10 - 26  therefore this pair is NOT a solution of the equation

Answer:

The error was in step 3

Step-by-step explanation:

The first two steps are correct, the property of addition of internal angles of a triangle that equal [tex]180^o[/tex] is properly used, Also the addition of supplemental angles to total  [tex]180^o[/tex] is also properly used.

In step 3. there is an error. Notice how it should have been done:

[tex]\angle m+\angle n +\angle o=180^o\\\angle o + \angle p = 180^o\\then:\\\angle m+\angle n +\angle o=180^o=\angle o+\angle p\\\angle m+\angle n +\angle o=\angle o+\angle p[/tex]

Answer:

The combination formula is 8! / (8-5)! * 5!

= 8! / 3! * 5!

= 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1/ 3 * 2 * 1  * 5 * 4 * 3 * 2 * 1 (expand)

= 8 * 7 * 6 / 3 * 2 * 1 (5 * 4 * 3 * 2 * 1 cancels on both sides)

= 8 * 7 = 56 (3 * 2 * 1 = 6)

Answer:

Side of land = 55 m (Approx)

Step-by-step explanation:

Note: The given question is incomplete.

Given:

The land is in square shape.

Area of the land = between 3000m² and 3100m²

Find:

Approx side of the land.

Computation:

Side of land = [tex]\sqrt{Area\ of\ land}[/tex]

Side of land = [tex]\sqrt{3,000} \leq Side \leq \sqrt{3,100}[/tex]

Side of land =[tex]54.77\leq side \leq 55.67[/tex]

Therefore, Side of land = 55 m (Approx)

Answer:

[tex]5(x - 2)(x+ 2)(x^2 + 4)[/tex]

Step-by-step explanation:

The expression given is:

[tex]5x^4 - 80\\\\5(x^4 - 16)\\\\5(x^4 - 2^4)\\\\5((x^2)^2 - (2^2)^2)\\\\[/tex]

Difference of two squares:

[tex]5(x^2 - 2^2)(x^2 + 2^2)\\\\5(x - 2)(x + 2)(x^2 + 2^2)\\\\5(x - 2)(x+ 2)(x^2 + 4)[/tex]

The factorized form of the given equation is [tex]5(x-2)(x+2)(x-2)(x+2)[/tex] and this can be determined by using the factorization method.

Given :

[tex]f(x) = 5x^4-80[/tex]

The following steps can be used in order to determine the factors of the given function:

Step 1 - Write the given function.

[tex]f(x) = 5x^4-80[/tex]

Step 2 - Take out 5 as common in the above function.

[tex]f(x) = 5(x^4-16)[/tex]

Step 3 - Now, try to factorize the above function.

[tex]f(x) = 5(x^4-2^4)\\f(x) = 5(x-2)(x+2)(x-2)(x-2)[/tex]

From the above steps, it can be concluded that the correct option is B).

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