Work out the shaded area of this
shape.
6m
13m
12m
11m
The diagram is not drawn to scale.
m2

Answer:

3/14

Step-by-step explanation:

Answer:

3/14

Step-by-step explanation:

Each side of the cube is 10 in long.

Hi there !

volume cube formula

V = s³

1000in³ = s³

(10in)³ = s³

s = 10 in

Good luck !

Answer:

Each side of cube is 10 in long

Step-by-step explanation:

Hello

Volume of cube formula,

V = L^3

1000 = L^3

(10)^3 = L

L = 10

\(\\ \sf\longmapsto V=\pi r^2h\)

\(\\ \sf\longmapsto V=3.14(0.6)^2(20.5)\)

\(\\ \sf\longmapsto V=3.14(0.36)(20.5)\)

\(\\ \sf\longmapsto V=23.17ft^3\)

Answer:

\( \sf 9738 \frac{5373}{10.000} \: ft \approx 9738,5373 \: ft\)

Step-by-step explanation:

Cylinder radius length

diameter = (20½ × 1 ⅕)

diameter = \( \sf \frac{41}{2} \times \frac{6}{5}\)

diameter = \( \sf \frac{41 \times 6}{2 \times 5}\)

diameter = \( \sf \frac{246}{10} \: ft\)

r = \( \sf \frac{246}{10} \times \frac{1}{2}\)

r = \( \sf \frac{246}{20}\)

r = \( \sf \frac{123}{10} \: ft\)

Cylinder Volume

Volume = π × r² × t

Volume = 3.14 × \( \sf (\frac{123}{10})²\) × 20½

Volume = 3.14 × \( \sf \frac{15.129}{100} \) × 20½

Volume = \( \sf \frac{2.375.253}{5000} \) × 20½

Volume = \( \sf 9738 \frac{5373}{10.000} \: ft \approx 9738,5373 \: ft\)

Conclusion:

Cylinder Volume is \( \sf 9738 \frac{5373}{10.000} \: ft \approx 9738,5373 \: ft\).

The number 2/5 is both a ratio and a fraction.

The number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.

The expression is also a ratio because it indicates the quantitative relationship between the figures.

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We can see that the first and third quadrants are half-shaded, and the fourth quadrant is totally shaded.

Here we have the following inequality:

y ≤ x

The shaded region would be the solution set of that inequality, to get that we need to graph the line:

y = x

Which divides the coordinate plane, and then shade the region below that line (because y is smaller than or equal to x)

Then the graph you will get is like the one below.

There you can see that the first and third quadrans are half shaded, and the fourth quadrant is totally shaded.

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Answer:

3.35

Step-by-step explanation:

just adding fractions

Answer:

D. 4, 5, 6, then 

H² = P² + B²

6² = 5² + 4²

36 = 25 + 16 

36 ≠ 41

This is not Pythagorean triple.

The simplified expression is \(-2x^2 - 2x - 5.\)

To simplify the expression, combine like terms:

\(3x^2 + 5x - 7x - 3 - 5x^2 - 2\)

Combine the \(x^2\) terms:

\((3x^2 - 5x^2) + 5x - 7x - 3 - 2\)

Simplify the \(x^2\) terms:

\(-2x^2 + 5x - 7x - 3 - 2\)

Combine the x terms:

\(-2x^2 - 2x - 3\)

This is the simplified form of the expression.

Therefore, the simplified expression is \(-2x^2 - 2x - 5.\)

We have grouped the terms with similar variables together and performed the necessary arithmetic operations to obtain the simplified form.

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Answer:

Step-by-step explanation:

Year 1: $850 * 0.91 = $773.50

Year 2: $773.50 * 0.91 = $704.69

Year 3: $704.69 * 0.91 = $641.95

...

Year 34: (continue the pattern)

We can continue this calculation for each year, but to save time, we can use an exponential decay formula:

Remaining Amount = Initial Amount * (1 - rate)^years

Substituting the values:

Remaining Amount = $850 * (1 - 0.09)^34

Calculating this expression:

Remaining Amount ≈ $850 * (0.91)^34 ≈ $255.88

After 34 years, approximately $255.88 will be left with Sally.

The probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

Let's use the formula for calculating the probability of the intersection of two events: P(A and B) = P(A) × P(B|A), where P(B|A) is the probability of event B occurring given that event A has occurred.

Let A be the event that it is raining, and B be the event that the flight is delayed. We are looking for P(A and B).

We know that:

P(A) = 0.1 (the probability that it will rain)

P(B) = 0.11 (the probability that the flight will be delayed)

P(not A and not B) = 0.88 (the probability that it will not rain and the flight will leave on time)

We can use the complement rule to find P(A or B):

P(A or B) = 1 - P(not A and not B)

P(A or B) = 1 - 0.88

P(A or B) = 0.12

Now we can use the formula for the intersection of two events:

P(A and B) = P(A) × P(B|A)

We know that P(A) = 0.1, and we need to find P(B|A), the probability of the flight being delayed given that it is raining.

We can use Bayes' theorem to find P(B|A):

P(B|A) = P(A and B) / P(A)

P(B|A) = (P(A) × P(B|A)) / P(A)

P(B|A) = P(B and A) / P(A)

We can rearrange this to get:

P(A and B) = P(B|A) × P(A)

Substituting the values we know:

P(B|A) = P(A and B) / P(A)

0.11 = P(A and B) / 0.1

P(A and B) = 0.11 × 0.1

P(A and B) = 0.011

Therefore, the probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

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Answer:

m. 31.192

explanation 34.062-2.87

Applying a translation of 5 units left and 2 units up to LM yields the transformed figure L'M' and choice A.

A graph can be moved either laterally or vertically parallel to the -axis, and this movement is called a translation.

LM can be converted to L'M' by carefully following the steps below:

The coordinates (10, -8) are translated 5 units left and 2 units up, which means that the location is obtained by deducting 5 from the x-coordinate and adding 2 to the y-coordinate. (5, -6).

Due to its location on the y-axis, the point (10%, 8) does not shift.

The translation of the point (8, 6M) is 5 units left and 2 units up, which indicates Consequently, we need to add 2 to the y-coordinate and remove 5 from the x-coordinate to get the point. (3, 8M).

The coordinates of the point (2, 6) are moved 5 units to the left and 2 units to the up, giving us the coordinates of the point. (-3, 8).

The translation of the point (6, -8) is 5 units left and 2 units up, so we deduct 5 from the x-coordinate and add 2 to the y-coordinate to get the point. (1, -6).

The point (-8, M) is translated 5 units to the left and 2 units to the right, so we take 5 off the x-coordinate and add 2 to the y-coordinate to get the point. (-13, M).

The key argument (4, 6) is translated as 5 units to the left and 2 units to the up, which means we take 5 away from the x-coordinate and add 2 to the y-coordinate to get the location. (-1, 8).

The coordinates (6, 8) are moved 5 units left and 2 units up, which means we need to deduct 5 from the x-coordinate and add 2 to the y-coordinate to get the new coordinates. (1, 10).

As a consequence, option A is produced by applying a translation of 5 units to the left and 2 units to the up to LM, yielding the transformed figure L'M'.

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Answer:

-5+5i

Step-by-step explanation:

(2-i)(-3+i)=-6+3i+2i-i²   (i²=-1)

-6+3i+2i-(-1)

-6+3i+2i+1=-5+5i

-5+5i

Answer:

Discrete Distribution.

Step-by-step explanation:

For each widget, there are only two possible outcomes. Either they develop paint cracks, or they do not. The probability of a widget developing paint cracks is independent of any other widgets, which means that the binomial probability distribution, which is a discrete distribution, is used to solve this question. Thus the answer is a Discrete Distribution.

Answer:

Measure of third angle = 80°

Step-by-step explanation:

Property of an isosceles triangle,

Opposite angles of the equal sides of an isosceles triangle are equal in measure.

Since, base angles of an isosceles triangle are equal,

(3x + 2) = (5x - 30)

5x - 3x = 2 + 30

2x = 32

x = 16

Now measure of the base angles will be = (3×16) + 2 = 50°

Let the measure of third angle = y°

Since, sum of interior angles of a triangle = 180°

50° + 50° + y° = 180°

y + 100 = 180

y = 80°

Therefore, measure of third angle is 80°.

Answer:

224

Step-by-step explanation:

360.-136.

Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer:

Step-by-step explanation:

If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.

Let 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...

  4s +4l = 288

And the second cake serves ...

  3s +5l = 316

Subtracting 3/4 of the first equation from the second gives ...

  (3x +5l) -3/4(4s +4l) = (316) -3/4(288)

  2l = 100

  l = 50

  4s +4(50) = 288 . . . substitute for l in the first equation

  4s = 88 . . . . . . . . . . subtract 200

  s = 22 . . . . . . . divide by 4

A small tier will serve 22 guests; a large tier will serve 50 guests.

The teaspoons of juice that are in the can is 4

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Teaspoons = Pineapple/Recipe

Substitute the known values in the above equation, so, we have the following representation

Teaspoons = 12/3

Evaluate

Teaspoons = 4

Hence, the number of teaspoons is 4

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The sculpture's base length = 9 cm and the height of sculpture is found as 6 cm.

The base and apex are joined to form a pyramid. To identify them from the base, the triangular sides are also also referred to as lateral faces. In a pyramid, the apex, which creates the triangle face, is connected to each base edge.

Put the values and find the length.

162 = 1/3 (x)² (x-3)

162 * (3) =  (x)² (x-3)

486 = x²(x-3)

486 = x³ - 3x²

x³ - 3x² - 486 = 0

(use a graphing tool or calculator equation mode).

x = 9

Thus,

side length of sculpture = 9 cm

height of sculpture = 9 - 3   = 6cm

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Correct question:

Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length,x,of its square base. Nathan uses the formula for the volume of a pyramid to determine the dimesnsioms of the sculpture.

V=1/3 a^2h

Here, a is the side length of the pyramids square base and h is it’s height.

If 162 cubic centimeters of clay were used to make the sculpture, the equation x^3 + _x^2+ _ =0 can be used to find that the length of the sculptures.  base is _ centimeters.

The option D is correct. i.e., ∠ACB

In the given question is that

Which angle is congruent to ∠DFE

Answer is   ∠DFE ~  ∠ACB

Explanation: By using the illustration  shows two right angled triangle ABC and triangle DEF :

Now, If in triangles ABC and triangle DEF

Angle C = Angle F (Right angle)

CB = FE (leg)

AB = DE (hypotenuse)

then, triangle ABC is congruent to triangle DEF.

By SAS rule

Whole triangle ABC is congruent to triangle DEF. Then, we can say that

∠DFE ~  ∠ACB  

Hence, The option D is correct. i.e., ∠ACB

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The perimeter of the composite figure that is given above would be = 96.6m.

To calculate the perimeter of the given shape, it has to be divided into two.

First shape is a rectangle. Therefore the perimeter of a rectangle is calculated with the formula = 2(l+w)

Where ;

length = 16m

width = 11m

perimeter = 2(16+11)

= 2×27

= 54m

The second shape:

Perimeter of triangle = l+w+h

where;

length = 18-11 = 7m

width = 16m

height = 19.5m

perimeter = 7+16+19.5 = 42.5m

Therefore, the perimeter of the shape = 54+42.5 = 96.6m

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Answer:

2 tens or 20

9 millions or 9000000

4 ten thousandths or 0.0004

KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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Answer:

The answer is C.

Step-by-step explanation:

It is 180÷5=36. n is basically just symbolizes 180, and b is the number of candles in each box.

Answer:

h(2)= - 12

Step-by-step explanation:

What that means is: calculate the y-value when t=2. Where you see t, substitute 2 in the equation. y= - (2)^2 - 2(2) - 4

The answer is - 12

Answer:

-12

Step-by-step explanation:

qu.   h(t) = -t^2 - 2t - 4

where h = 2

= h(t) = (-t^2)- (2^t)- (4)

= h(2) = (-2^2) - (2^2) - (4)

         = (-4) - (4) - (4)

          = -12

The way the brackets are done will help you when its mixed numbers and positives as the first polynomial if negative must be kept in bracket.

Answer: Consider me the brainiest. The answer is... Decimal form =4.083

Exact form= 49/12

The mixed number form=4 1/12

How do we solve fractions step by step?

Conversion a mixed number 2  1/3 to a improper fraction: 2 1/3 = 2  1/3 = 2 3 + 1/3 = 6 + 1/3 = 7/3

To find a new numerator

A;   Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3

b) Add the answer from the previous step 6 to the numerator 1. The new numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one-third are seven-thirds.

Conversion a mixed number 1  3/4 to a improper fraction: 1 3/4 = 1  3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4

To find a new numerator:

a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4

b) Add the answer from the previous step 4 to the numerator 3. The new numerator is 4 + 3 = 7

c) Write a previous answer (new numerator 7) over the denominator 4. One and three quarters are seven quarters.

Add: 7/3 + 7/4 = 7 · 4/3 · 4 + 7 · 3/4 · 3 = 28/12 + 21/12 = 28 + 21/12 = 49/12 It

is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions.  The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12.  It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the following intermediate step, it cannot further simplify the fraction result by cancelling.  In other words - seven thirds plus seven quarters is forty-nine twelfths.

The area of a cross section that is parallel to face BFGC is 216 cm².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Mathematically, the formula for surface area of a rectangle is given as;

S.A = L x W

where;

The area of a cross section that is parallel to face BFGC is calculated as;

S.A = 36 cm  x  6 cm

S.A = 216 cm²

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Answer:

Step-by-step explanation: