Line AB, segment DF, and segment CE are drawn. Segments DF and CE intersect at point Z. Which statement about the diagram is true?

Hey there! :)

Answer:

SA = 144 cm².

Step-by-step explanation:

Find the surface area by calculating the areas of each of the lateral sides and bases:

In this instance, the bases are triangles, so the formula A = 1/2(bh) will be used:

Bases:

A = 1/2(bh)

A = 1/2(4·3)

A = 1/2(12)

A = 6 cm².

There are two bases, so:

6 × 2 = 12 cm²

Find the areas of the lateral sides using A = l × w:

5 × 11 = 55 cm²

4 × 11 = 44 cm²

3 × 11 = 33 cm²

Add up all of the areas:

12 + 55 + 44 + 33 = 144 cm².

Answer:

144 cm^2

Step-by-step explanation:

So, first find the area of the triangle. To find that you need to use the formula A = bh ÷ 2 (Area = base x height ÷ 2)

A = (4)(3) ÷ 2

A of triangle = 6

Since there are 2 triangles, you need to multiply the area by 2, which equals 12.

To find the area of the rectangles, you need to use the formula A = lw (Area = length x width)

For the first rectangle,

A = 11 x 5

A = 55

For the second rectangle,

A = 4 x 11

A = 44

For the third rectangle,

A = 3 x 11

A = 33

Now, you need to add the areas of the triangles and rectangles together to get your surface area.

12 + 55 + 44 + 33 = 144cm^2

So, the surface area of the triangular prism is 144 cm^2.

Answer:

P(black) = 0.2

Step-by-step explanation:

Total number of rings

= 6 yellow + 11 blue + 3 black

= 20 rings.

P(black) = #black/#all = 3/20 = 0.15

Most people would round 0.15 to the nearest tenth as 0.2

It is not desirable in this cas to round to the tenth due to the 33% round-off error, but, what can you do.

Answer:

e=15.8

Step-by-step explanation:

Well we use the law of cosines

e^2=11^2+6^2-2(11)(6)cos(134)

[tex]e^{2} =121+36-132cos134\\e^2=157-132cos143\\e^2=248.694....\\e=15.8[/tex]

Answer:

15.8

Step-by-step explanation:

Using Cosine rule

a² = b²+c²-2bcCos A

a = e

b = 11

c = 6

A = 134°

e² = 11²+6²-2•11•6 × Cos 134

" = 121+36 -132× -0.69466

" = 157 + 91.69512

" = 248.69512

e² = 248.6951

e = (248.6951)½

e = 15.7701

nearest tenth = 15.8

Answer

A or B

Step-by-step explanation:

the lowest is 1/7 = 5/35 = 10/70

the highest is 1/5 = 7/35 = 14/70

so answer A and B are OK

C and D are out of range

Answer:

0.07%

Step-by-step explanation:

This equation is solving for what percentage of 100 kg is 0.07 kg.

1. Set up the equation

[tex]\frac{0.07}{100}[/tex] = [tex]\frac{x}{100}[/tex]

0.07 kg out of 100 kg is equal to x out of 100 because x represents the percentage and percentages are out of 100.

2. Solve by cross multiplying

100x = 7

3. Solve for x by dividing both sides by 100

x = 0.07

The answer is 0.07%

Answer:

correct option is A: [tex]\frac{4}{10} \neq \frac{6}{14}[/tex]

Step-by-step explanation:

If the segment DE was parallel to the segment BC, we could use the Thales' theorem, where the ratio of one segment created in one side of the triangle over the whole side is the same ratio of one segment created in the other side over the whole side:

[tex]\frac{AD}{AB} = \frac{AE}{AC}[/tex]

Using the values given (AD = 4, AB = 6+4=10, AE = 6, AC = 8+6=14), we would have:

[tex]\frac{4}{10} = \frac{6}{14}[/tex]

[tex]4*14=6*10[/tex]

[tex]56=60[/tex]

This sentence is false, therefore the segments DE and BC are not parallel.

The inequation to prove this is the first one we used, using the "not equal" symbol:

[tex]\frac{4}{10} \neq \frac{6}{14}[/tex]

So the correct option is: A

Answer:

a) About 2261.95

b) $11.94

Step-by-step explanation:

a) The lateral area of a cone can be calculated via A=πrl

b) Simple do 2261.95/400 and round to the nearest 1 to get 6.  Then multiply 6 by 1.99 to get 11.94

Hope it helps <3

Answer:

x can take any value and are viable in this situation if and only if it is a positive number

Step-by-step explanation:

We know that the area of a rectangle is given by:

A = x * y

So if we replace we have:

12 ≤ x * y ≤ 36

We divide by y, and we have:

12 / y ≤ x ≤ 36 / y

Which means that the value of x depends on y, that is to say if y is worth 1, the inequality would be:

 12 ≤ x ≤ 36

In the event that y is equal to 2:

 12/2 ≤ x ≤ 36/2

 6 ≤ x ≤ 18

Which means, that depending on y, x can take any value and are viable in this situation if and only if it is a positive number.

The image of the function is missing, you can see it at the end of the answer.

For a rectangle of length L and width W, the area is given by:

A = L*W

We will find that the solution is: 3/2 ≤ x ≤ 11/2

Here we have:

L = 3

W = 2x + 1

Then the area equation is:

A = 3*(2x + 1) = 6x + 3

And we also have the inequality:

12 ≤ A ≤ 36

Replacing A with the equation we get:

12 ≤ 6x + 3 ≤ 36

Now we solve this for x:

12 - 3 ≤ 6x ≤ 36 - 3

9  ≤ 6x  ≤ 33

Now we divide both sides by 6.

9/6 ≤ x ≤ 33/6

3/2 ≤ x ≤ 11/2

If you want to learn more, you can read:

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Answer: (2,5)

Step-by-step explanation:

To find the x coordinate of the vertex, you will set  x-2=0 and solve for x

x-2=0

 +2  +2

x = 2  

Now since we know the vertex has an x coordinate of 2 we have to solve for y by plotting in the x value.

y= 1/2(2-2)^2 + 5

y = 0 +5

y =5

(2,5)

Answer:

m=3, n=5

Step-by-step explanation:

(3+√5)² = (3+√5)(3+√5) =

3² + 3√5 + 3√5 + √5·√5 = 9 + 6√5 + 5 = 14+6√5

Answer:

Step-by-step explanation:

Feel pleasure to help u..

Answer:

A. 1,885 cm³

Step-by-step explanation:

[tex]V=\pi r^{2} \frac{h}{3}[/tex]

[tex]\pi 15^{2} \frac{8}{3}[/tex]

15²=225

[tex]\frac{8}{3} =2.67[/tex]

3.14 x 225 = 706.5

706.5 x 2.67 = 1884.96

Answer:

[tex]x=\pm \sqrt{3}[/tex]

Step-by-step explanation:

Consider the given polynomial is

[tex]P(x)=x^2-3[/tex]

We need to find the zeros of the given polynomial.

Now,

[tex]P(x)=0[/tex]

[tex]x^2-3=0[/tex]

Add 3 on both sides.

[tex]x^2=3[/tex]

Taking square root on both sides.

[tex]x=\pm \sqrt{3}[/tex]

Therefore, zeros of the polynomial P(x) are [tex]-\sqrt{3} \text{ and }\sqrt{3}[/tex].

To verify the relationship, put [tex]x=\sqrt{3}[/tex] in P(x).

[tex]P(\sqrt{3})=(\sqrt{3})^2-3=3-3=0[/tex]

Put [tex]x=-\sqrt{3}[/tex] in P(x).

[tex]P(-\sqrt{3})=(-\sqrt{3})^2-3=3-3=0[/tex]

Since P(x)=0 for both values, therefore relationship verified.

Answer:

q= 5

Step-by-step explanation:

Geometric mean of two term p and q is = [tex]\sqrt{pq}[/tex]

we have

p = √7​

geometric mean = √35

Thus, using the formula of geometric mean

√35 = √7​*q

[tex]\sqrt{35} = \sqrt{7q} \\[/tex]

squaring both sides

[tex]\sqrt{35}^2 = \sqrt{7q} ^2\\=>35 = 7q\\=> q = 35/7 = 5[/tex]

Thus, q= 5

Answer:

a). 3a² + 17a - 1

b). 4y (7y-6)

Step-by-step explanation:

in the second question, we find a number that can divide 28 and 24 without a remainder, which is 4

Answer:

162°

Step-by-step explanation:

This is a hexagon, so the sum of the angle measures will be 720°

Add up the measures

40x=720

Divide

X=18

Multiply by 9 to find angle of D

9*18=162

The measure of the interior angle at vertex D is 162°. Hence, option B. is the right choice.

Polygons are closed plane figures formed by the intersection of 3 or more non-collinear line segments.

The sum of interior angles of an n side polygon = (n-2)180°.

We are given a 6 side polygon ABCDEF.

∴ n = 2.

The sum of interior angles of polygon ABCDEF = (6-2)180° = 4*180° = 720°.

The angles are 2x, 9x, 2x, 9x, 9x, and 9x.

Their sum = 2x + 9x + 2x + 9x + 9x + 9x = 40x.

This sum = The obtained sum

or, 40x = 720°

or, x = 720°/40 = 18°.

∴ Interior angle at vertex D = 9x = 9*18° = 162°. Hence, option B. is the right choice.

Learn more about Polygons at

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Answer:

No solution

Step-by-step explanation:

If you graph this system of equations, they do not intersect in any way and therefore there is no solution.

Answer:

x=-1/9; -1/9; (-1/9,0)

(each one is a different way to write the answer)a

Step-by-step explanation:

Zeros of a function are when the y-value of a point on a graph is equal to 0. Plugging in 0 for y in this equation of the function we get 0=-9x-1, which we can solve by adding 9x to both sides of the equation to get 0+9x=-9x+9x-1, or 9x=-1, and divide both sides by 9 to get x=-1/9

Hey there! :)

Answer:

B. 0

Step-by-step explanation:

On the graph, the line is a horizontal line. This means that there is no change in the y-value across the domain.

Thus, the graph has a slope of 0.

Answer:

B. 0

Step-by-step explanation:

Use the following formula to solve for slope:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (0 , -2)

(x₂ , y₂) = (2 , -2)

Plug in the corresponding numbers to the corresponding variables:

m = (-2 - (-2))/(2 - 0)

Simplify:

m = (-2 + 2)/(2 - 0)

m = 0/2 = 0

B. 0 is your slope.

~

Answer:

1) Formula for experimental probability:

Experimental Probability = [tex]\frac{No.OfFavourableOutcomes}{No.OfPossibleOutcomes}[/tex]

2) Any performance or a random experiment is called a trial.

Answer:

102.88 m

Step-by-step explanation:

Pythagorean Theorem:

a²+b²=c²

48²+91²=c²

2304+8281=10585

c²=10585

Square both sides

c= 102.88

How far the players ran:

102.88 m

Answer:

3/10

3/10

Step-by-step explanation:

0,1,2,3,4,5,6,7,8,9 are in a box

odd primes are 3 and 5 and 7  ( 1 is neither prime nor composite)

There is a total of 10 numbers

P( odd prime) = number of odd primes / total = 3/10

perfect squares greater than 0 are 1,4,9

P( perfect squares) = number of perfect squares / total = 3/10

Answer: 3/10(the first one)

Step-by-step explanation: So, prefect squares are numbers that are divisible by two numbers multiplied by them selves, 1 is 1 x 1 4 is 2 x 2 and 9 is 3 x 3 so 3 numbers out of 10 from 0 to 9 are perfect squares! Hope this helps, 15402256.

Answer:

Hello!

____________________

5+(−4)= 1

Step-by-step explanation: Simplify the expression.

Hope this helped you!

Answer:

5+(-4)=1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

When multiplying numbers with exponents, the exponents add together.  This means that the correct answer is letter A.

Answer:

14 problems worth 5 points and 15 problems worth 2 points

Is the correct answer

Step-by-step explanation:

The solution are;

⇒ x = 14

⇒ y = 15

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equation for given condition is;

⇒ x + y = 29, 5x + 2y = 100

Now,

Since, The system of equation for given condition is;

⇒ x + y = 29   ..(i)

⇒ 5x + 2y = 100  ..(ii)

Solve both the equation, we get;

⇒ 5x + 5y = 145

Subtract from (ii), we get;

⇒ 5y - 2y = 145 - 100

⇒ 3y = 45

⇒ y = 15

And, x + y = 29

x + 15 = 29

x = 29 - 15

x = 14

Thus, The solution are;

⇒ x = 14

⇒ y = 15

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Answer:

Step-by-step explanation:

The given information is expressed as

Side effect no side effect total

Adult 7 43 50

Children 22 28 50

Total 29 71 100

Probability is expressed as

Number of favorable outcomes/number of total outcomes

For the probability that an adult has side effects,

Total number of outcomes = 50

Number of favorable outcomes = 7

Probability that an adult has side effects = 7/50 = 0.14

For the probability that a child has side effects,

Total number of outcomes = 50

Number of favorable outcomes = 22

Probability that an adult has side effects = 22/50 = 0.44

Therefore, it is more likely that a child has side effects compared to an adult

Answer: The given information is expressed asSide effect no side effect totalAdult 7 43 50Children 22 28 50Total 29 71 100Probability is expressed as Number of favorable outcomes/number of total outcomesFor the probability that an adult has side effects, Total number of outcomes = 50Number of favorable outcomes = 7Probability that an adult has side effects = 7/50 = 0.14For the probability that a child has side effects, Total number of outcomes = 50Number of favorable outcomes = 22Probability that an adult has side effects = 22/50 = 0.44Therefore, it is more likely that a child has side effects compared to an adult

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

father's age=46

half of father's age=46/2=23

Xiao's age=15

so when Xiao is half of her father age =23-15=8

then add 8 to his sister's age

so 8+8=16

hope its was helpful<3<3

plz rate the answer

Answer:

His sister will be 16 year old

Step-by-step explanation:

46/2 = 23

15-8=7

23-7=16

Answer:

Hello There!

`~~~~~~~~~~~~~~~~~~~~~

(x + 3) - 2(4 + x) + 5x - 4 =

4x - 9

Step-by-step explanation: Simplify the expression.

Hope this helped you. Brainliest would be nice!

Answer:

4x -9

Step-by-step explanation:

First, expand it by multiplying (x+4) with -2.

(x + 3) - 2(4 + x) + 5x - 4

= x + 3 - 8 - 2x + 5x - 4

Then, collect like terms. Add up the coefficient of x, and the whole numbers separately.

= x - 2x +5x + 3 -8 -4

= 4x -9

When nothing can further be simplified, you get the answer.