Find the area of the triangle:
Height :5a + 7
base :18​

Answer:

Step-by-step explanation:

[tex]c(9 - 2) \cdot 3=21\\\\\mathrm{Divide\:both\:sides\:by\:}21\\\\\frac{c\left(9-2\right)\cdot \:3}{21}=\frac{21}{21}\\\\c = 1[/tex]

Answer:

v=13

Step-by-step explanation:

3(13) = 39+11 = 50

Answer:

Our main goal is to isolate the variable here (v).

And if we want to solve this equation,

we must utilize inverse operations.

Given that:-

3v + 11 = 50

We always first get rid of the constants.

And in this case, 11 is our constant.

So the inverse operation of addition is subtraction (because 11 is being added)

-11        -11

3v = 39

Now, we are left with a co-efficient.

To isolate v, we must apply the inverse operation of multiplication which is division (because 3 and 'v' are being multiplied).

/3     /3

V = 13

Answer:

Below.

Step-by-step explanation:

a) Let the numbers be n, n + 2 and n + 4

Sum = n + n + 2 + n + 4

= 3n + 6.

As n must be even (2, 4, 6 and so on) , 3n must be divisible by 6  and 3n + 6 is divisible by 6 also.

b) 3n + 6 = 6000

3n =  5994

n = 5994/3 = 1998

So the numbers are 1998, 2000 and 2002.

Answer:

15, 15, 15, 15, 24, 28, 36, 45, 75, 75, 76, 77, 80, 86

Step-by-step explanation:

you read the left side for each digit on the left side

The data set does this stem-and-leaf plot represent is

15, 15, 15, 15, 75, 76, 77, 80, 24, 28, 36, 45, 75, 86

Finding the Mean, Median, and Mode of a Data Collection Using Stem-and-Leaf Plots. A set of data's mean is its average. The midway value in a set of data is known as the median. The number that appears the most frequently in a piece of data is the mode. The mean, median, and mode of a collection of data can be determined using a stem-and-leaf plot.

we have given Stem and leaf plot.

then, the data from plot can be reframed as

15 15 15 15

24 28

36

45

75 75 76 77

80 86

So, the data set does this stem-and-leaf plot represent is

15, 15, 15, 15, 75, 76, 77, 80, 24, 28, 36, 45, 75, 86

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how am I supposed to know????

Answer:

Ms.Manns, Office, and with the Crowbar

Step-by-step explanation:

Answer:

1/7 is less than 7/12

Step-by-step explanation:

please mark me as brainlest

Answer: C, D

Step-by-step explanation:

Answer:

[tex]\huge\boxed{B)\ m=\dfrac{1}{2}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have two points (-1, 3) and (3, 5).

Substitute:

[tex]m=\dfrac{5-3}{3-(-1)}=\dfrac{2}{3+1}=\dfrac{2}{4}=\dfrac{2:2}{4:2}=\dfrac{1}{2}[/tex]

Answer:

553

Step-by-step explanation:

567 - 14 = 553

If two triangles are similar, that means their side lengths are proportional, so we get the equation

 [tex]\frac{AB}{AC} =\frac{FG}{FH} \\\frac{x}{17} =\frac{16}{20} \\20x = 16 * 17\\x=13.6[/tex]

Thus x = 13.6.

Hope that helped!

We can apply the process of solving percentiles of a grouped data in a purposeful way by using it to compare a performance to that of other students.

This is a statistical tool which measures the value below which a given percentage of observations in a group of observations fall.

Percentile Rank = L + (RN/100 – M) / F × C where

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Answer: 2/9 meter

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. First, make an equation.

Given:

8/9 = length of wire

2/3 = length of a part of the wire

E = 8/9-2/3

Unknown:

Second part of wire

2. Make the numbers have equal denominators

2/3 * 3/3

= 6/9

3. Solve

8/9 - 6/9

= 2/9

Hope this helped,

Kavitha

Answer: 12m by 4m.

Step-by-step explanation: You are looking for the dimensions of the room here, also known as the length and width.

Let’s make width equal to x since we don’t know what the value is. Length is going to be x + 8 since the diagonal is 8m MORE than the width.

w = x

l = x + 8

Use the equation for the perimeter.

P = 2l + 2w

Plug in your values:

32 = 2(x + 8) + 2(x)

Now, solve for x! First start by distributing the 2:

32 = 2x + 16 + 2x

Next, add like terms:

32 = 4x + 16

Subtract 16 from both sides:

16 = 4x

Divide by 4 on both sides:

4 = x

Now we have x, but remember, x is equal to the width. We just solved for width so now we need length.

l = x + 8

Plug in your x and solve:

l = 4 + 8

l = 12

Your length is 12m and your width is 4m, therefore, the dimensions of the rectangular room are 12m by 4m.

Answer:

Step-by-step explanation:

a) Only one pair of parallel sides
b) Two pairs of parallel sides

c) Four right angles, 2 pairs of parallel sides

Step-by-step explanation:

He added and subtracted the denominators. When adding/subtracting fractions, you need common denominator. Then you would only add/subtract the numerators.

So to solve it correctly, you would first find the common denominator, which for part a, it would be 3x5=15. Then rewrite both fractions s.t. 5/15 + 9/15

Then add the numerator. So 14/15

Answer:

Today: Friday, 30 October 2020

Hour: 14.49 WIB (in Indonesia)

________________________

3 (2x - 7) + 1/3 (7x + 2)

= 6x - 21 + 7x/3 + 2/3

= 6x + 7x/3 + 2/3 - 21

= 25x - 61/3

Assuming +800 represent RM800, then RM800 being debited into a saving account is represent as:-$800.

A saving account is an account that enables you to save you money while you earn interest on the amount save.

The amount +$800 being credited means that money is being deposited into the saving account  while on the other hand -$800 being debited represent a reduction  in the amount deposited into the saving account.

Inconclusion RM800 being debited into a saving account is represent as:-$800.

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Answer:

x= 2/a (apex)

Step-by-step explanation:

Answer:

x = 5/2, -12

Step-by-step explanation:

(2x-5)(x+12) = 0

2x-5 = 0

2x = 5

x = 5/2

x + 12 = 0

x = -12

Answer:

x = 5/2          x = -12

Step-by-step explanation:

(2x-5)(x+12)=0.

Using the zero product property

2x-5 =0         x+12=0

2x=5              x = -12

x = 5/2          x = -12

Answer:

15

Step-by-step explanation:1 third of 9 is 3. Half of 10 is 5. Multiply 5 by 3. It is now 15.

Answer:

15

Step-by-step explanation:

Work backwards:

half of 10 = 10 ÷ 2 = 5

so ... nine times half of 10 = 9 × 5 = 45

so  ... ⅓ of nine times half of ten = ⅓ of 45 = 45 ÷ 3 = 15

Answer:

sqrt(97)

Step-by-step explanation:

Answer:

0.2830

Step-by-step explanation:

edge

The required proportion of red drum fish would be 0.2830 between 22 and 23.5 inches in length.

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

As per the given condition, if the fish is between 22 and 23.5 inches,

P(22≤ X ≤ 23.5)

You can rewrite it as:

⇒ P(X ≤ 22) - P(X ≤ 23.5)

The first step is to standard both values before using population data and the standard normal distribution to get the probability:

The formula of the standard normal is Z=(X-μ)/σ

⇒ P(Z ≤  (23.5-24)/1.4) - P(Z ≤ (22-24)/1.4) = P(Z ≤-0.36) - P(Z ≤ -1.43)

Now you look at the table of the Z-distribution for the cumulative probabilities for both z-score

⇒  (1 - 0.6406) - (1 - 0.9236)

⇒ 0.3594- 0.0764 = 0.2830

Hence, the required proportion of red drum fish would be 0.2830 between 22 and 23.5 inches in length.

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Answer:

[tex]2x-5y=-40\\-5y = -40-2x\\y = \frac{-40}{-5}-\frac{2x}{-5} \\y = \frac{2x}{5}+8[/tex]

Slope of a line perpendicular is  [tex]\frac{-5}{2}[/tex]

Step-by-step explanation:

Hey there!

The given equation is ; 2x - 5y = -40.

Or, 2x - 5y + 40 = 0

Slope of the equation is;

[tex]slope(m) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]

[tex]m = \frac{ - 2}{ - 5} [/tex]

[tex]m = \frac{2}{5} [/tex]

Therefore, the slope of equation is 2/5.

Now; For the perpendicular lines:

Slope of equation * slope of next line = -1

i.e M1*M2= -1

[tex] \frac{2}{5} \times m2 = - 1[/tex]

[tex]2 \: m2 = - 5[/tex]

[tex]m2 = \frac{ - 5}{2} [/tex]

Therefore, the slope of the line which is perpendicular line to 2x - 5y + 40= 0 is -5/2.

Hope it helps....

[tex]A = \pi (3x^2y)^2 = 9x^4y^2\pi[/tex]

Answer:

I think it's 0.57

Step-by-step explanation:

You just have to divide 4 cups by 7

Answer:

  (25 -5√7)/3 ≈ 3.924 inches

Step-by-step explanation:

After removing squares from the corners and folding up the sides, the open-top box will have dimensions ...

  x × (20 -2x) × (30 -2x)

The maximum value for this cubic expression in the domain 0 < x < 10 is found easily by a graphing calculator to be at x = 3.924 inches.

__

You can solve this by expanding the cubic and finding the solution that makes its derivative equal to 0.

  V(x) = 4x^3 -100x^2 +600x

The derivative is ...

  V'(x) = 12x^2 -200x +600 = 0

Dividing by 12, we have ...

  x^2 -50/3x +50 = 0

Completing the square, we get the form ...

  (x -25/3)^2 = -50 +(25/3)^2 = (-450 +625)/9 = 175/9

Taking the square root gives ...

  x -25/3 = ±(5√7)/3

The solution in the desired range is ...

  x = (25 -5√7)/3 ≈ 3.924 . . . inches

_____

Additional comment

We limit the value of x to half the width of the cardboard material, as any longer cuts would overlap to create a negative box dimension. The graph shows the maximum volume to be about 1056.3 cubic inches. Box dimensions would be 3.924 in deep by 12.153 in by 22.153 in.

__

The generic solution can be found using a similar procedure. For cardboard dimensions a×b, it will be ...

x = ((a +b) -√((a -b)² +ab))/6