can you help me to find the area of trapezoid WXYZ

Answer:

---------------------------------

Real distance is 4.4 miles and on the map it is 8 inches.

The scale is:

or

Answer:

\(Pr =\frac{1}{3}\)

Step-by-step explanation:

Given

\(S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)\)

\((3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)\)

\((5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}\) --- sample space

First, list out all outcomes whose sum is divisible by 5

\(A = \{(4,6), (5,5),(6,4)\}\)

So, we have:

\(n(A) = 3\)

Next, list out all outcomes that has an outcome of 5 in both rolls

\(B = \{(5,5)\}\)

\(n(B) =1\)

The required conditional probability is:

\(Pr =\frac{n(B)}{n(A)}\)

\(Pr =\frac{1}{3}\)

The inequality expression depicted in the diagram is -5<x≤4

From the number line given :

Hence, Combining the expressions, we have : -5<x≤4

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Given that Iko $176 total for a premium streaming video service that costs $16 per month.

We can find the number of months Iko had the streaming service using the formula below.

Therefore,

Answer: The number of months Iko had the streaming service is

Answer:

calculator gave me 6.5732

Step-by-step explanation:

Answer:108-8 1/4=89 3/4 Jaden has 89 3/4 measures they still need to learn

Step-by-step explanation:

Answer: 89 3/4

Step-by-step explanation: Jaden played 18 1/4 of the measures and the total of Fur Elise is 108 measures. If you do 108 - 18 1/4 it would be 89 3/4. We did this because the total was 108 and we wanted to know how much of fur elise is left after we played 18 1/4.

Answer:\( \huge{ \boxed{ \bold{ \tt{ x = - 2}}}}\)

Step-by-step explanation:

\( \sf{ - 6x + 13 = - 5(7 + 6x) }\)

Distribute -5 through the parentheses

\(\longrightarrow{ \sf{ - 6x + 13 =  - 5 \times 7  + ( - 5 )\times 6x}}\)

\(\longrightarrow{ \sf{ - 6x  + 13 =  - 35 + ( - 30x)}}\)

\( \text{Remember} : \sf{( + ) \times ( - ) = ( - )}\)

\(\longrightarrow{ \sf{ - 6x + 13 =  - 35 - 30x}}\)

Move 30x to left hand side and change it's sign

\( \longrightarrow{ \sf{ - 6x + 30x + 13 = - 35}}\)

Move 13 to R.H.S ( Right Hand Side ) and change it's sign\( \longrightarrow{ \sf{ - 6x + 30x= - 35 - 13}}\)

Combine like terms

\( \longrightarrow{ \sf{24x = - 35 - 13}}\)

The negative integers are always added but posses the negative ( - ) sign.\( \longrightarrow{ \sf{24x = - 48 }}\)

Divide both sides by 24

\( \longrightarrow{ \sf{ \frac{24x}{24} = \frac{ - 48}{24}}} \)

Dividing a negative integer by a positive integers gives a negative integer.

\(\longrightarrow{\sf{x = -2 }}\)

-----------------------------------------------------

L.H.S = -6x + 13

Plug the value of x and simplify

\( \longrightarrow{ \sf{ - 6 \times ( - 2) + 13}}\)

Multiplying negative integers by a negative integer gives a positive integer.

\( \longrightarrow{ \sf{ 12 + 13}}\)

Add the numbers : 12 and 13

\( \longrightarrow{ \sf{25}}\)

R.H.S = -5 ( 7 + 6x )

plug the value of x and simplify

\( \longrightarrow{ \sf{ - 5(7 + 6 \times ( - 2)}})\)

Multiplying a positive integer by any negative integer gives a negative integer.

\( \longrightarrow{ \sf - 5(7 + ( - 12)}\)

\(\longrightarrow{\sf{-5(7 - 12)}}\)

Subtract 12 from 7

\( \longrightarrow{ \sf{ - 5 \times ( - 5)}}\)

\(\longrightarrow{\sf{25}}\)

L.H.S = R.H.S

The value of x is -2 .

Hope I helped!

Best regards!

~TheAnimeGirl

SOLUTION:

The given percentage is 98%

This is equivalent to 0.98

First find P(Z>0.98)

This gies:

Uing the score formula:

Substitute z=2.054 and the given values:

Solve the equation for x:

Therefore the required answer is 48.31 minutes.

Answer:

C. p-value is 0.07

Step-by-step explanation:

The sample mean was 4 years below the hypothetized mean, and 14 of 200 simulated results were this far or farther above or below the hypothesized mean.

Brainliest, please :)

The measure of <MNL is (71 - 3x²)/2.

We have,

Far Arc = 59 - 2x²

Near Arc = 12 - x²

Angle = 180- 2x²

Using the Formula

Angle= Average of vertical chords

180 - 2x² = (59 - 2x² + 12 - x²)/2

360 - 4x² = 71 - 3x²

289 = x²

x= 17

So, the measure of <MNL

= (71 - 3x²)/2

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The correct answer among the following option is , the distance between point a and b of segment ab.

What are Points?

A point is denoted by a dot(.). A point represents position only. It has no size.

Points given in the question are a and b.

What is Line Segment?

A line segment is a part of line with a definite start point and a definite end point.

Their are infinite number of point between the end and start point of the segment.

For the construction,

To copy the segment ab, The distance between the two points a nd b is required.

To calculate the distance, Use the distance formula if the co-ordinates of point a and b are given.

The distance can also be measured using a measuring instrument like

a ruler, A measuring tape if the co-ordinates are not given.

As the distance between both the points a and b is known, A new segment can be drawn of the same distance as ab using two new points and can be named cd or a'b'.

To copy the segment ab, The distance between the point a and b is required.

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Answer:the distance between points a and b

Step-by-step explanation: took the test and got it right

Answer:

Step-by-step explanation:

This exercise desires to test our   knowledge of units conversion,

now, given that on the map 1 inch represents 4 miles

the distance of 1mile when converted to inches ordinarily would be

1mile is 63360 inches

since on the map

1 inch represents 4 miles

63360 inches represents  Xmiles

cross multiply we have

X would be = 63360*4

On a map one mile would be 253440 miles

Answer:

E is \(\frac{1}{2\\}\) F is 6\(\frac{1}{4}\) and G is \(1\frac{1}{2}\)

Step-by-step explanation:

212/351

or

211/351

cos less than

Answer: 4



Step-by-step explanation:

The value of 3¾ft in yards would be = 1 6/25 yard

A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.

To convert to yards;

1 ft = 0.33 yard

3¾ = X yards

make x yards the subject of formula;

X yards = 3¾ × 0.33

X yards = 3.75×0.33

X yards = 1.24 yards

X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.

Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25

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Answer:

Below

Step-by-step explanation:

Slope,m, is the 'x' coefficient =  -1   for this line   y = -x+4-2

Hey there! I'm happy to help!

We have 5 numbers that will give us an average score of 80.

75,82,71,84,x

What we do is add these all up and divide by 5 to get 80. Let's go backwards to find x.

We multiply by 5.

80(5)=400

We subtract all of the numbers except for x.

400-75-82-71-84=88

Therefore, the score on the next test has to be 88 to have the student's average be 80.

Have a wonderful day! :D

Answer:

\(\huge\boxed{\sf \$ \ 11.52}\)

Step-by-step explanation:

12 bottles of juice = $8.64

Divide 12 to both sides

12/12 bottle of juice = $8.64/12

1 bottle of juice = $0.72

Multiply 16 to both sides

1 × 16 bottles of juice = $0.72 × 16

\(\rule[225]{225}{2}\)

Answer:

A. |12| > √80

B. √53 > |-5.3|

Step-by-step explanation:

A.  |12| > √80

The absolute value of 12 is 12, and the square root of 80 is 8.9442. This means the number sentence is true because it states that the absolute value of 12 is greater than the square root of 8.

B. √53 > |-5.3|

The square root of 53 is 7.2801 and the absolute value of -5.3 is 5.3. This means the number sentence is true because is states that the square root of 53 is greater than the absolute value of -5.3

have a nice day!

Answer:

7.52 cm

Step-by-step explanation:

If we subtract the longest side from the whole perimeter, we get 28.12 - 13.08 = 15.04.

So the other two sides must be equal, since the triangle is isosceles.

That means 15.04 must be divided evenly betweem two sides.

15.04/2 = 7.52

So the 3 sides are 13.08 cm, 7.52 cm, and 7.52 cm.

You check the answer by adding all 3 sides together and we do indeed get the perimeter, 28.12 cm.

Answer:

A cold water tap takes 3 minutes to fill the bath. A hot water tap takes 2 minutes to fill the bath. How long does it take to fill the bath when both taps are open at the same time?

It is easiest just to let the bath be a given size.

My little bath will be 12 litres

cold water  4L/min          hot water = 6L/min      

together 10L/1 min

10*(12/10) L per  1*(12/10) minutes

12L per 1.2min

12L per 1min and 12sec

It will take 1 minute and 12 seconds to fill the bath.

Step-by-step explanation:

Answer:

It will take 5 minutes for both faucets together to fill the water cooler

Step-by-step explanation:

I'm kinda just guessing but I do have a reasonable explanation

So the average time it takes for the faucets INDIVIDUALLY to fill the water cooler is 10 minutes

But since both faucets are filling them TOGETHER, it should take half the time

And half of 10 is 5

So it should take 5 minutes for both faucets together to fill the water cooler

If that makes sense

We see here that new thousand is actually liken to be the result in thousand that is gotten after carrying out an operation.

A thousand is a number that denotes the sum of 1,000 units or ten hundreds.

The word "thousand" is frequently used in daily speech to denote a significant but limited amount, such as a thousand money, a thousand individuals, or a thousand pages. Alternatively, it can be used as a round number to denote an approximation, as in "a thousand times" or "a thousand and one nights."

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The value of the angle x is 30 degrees

To determine the value of the variable x, we need to know the triangle sum theorem.

The triangle sum theorem is a theorem in mathematics stating that the sum total of the interior angles in a triangle is equivalent to 180 degrees.

We should also note that angle at right angle is 90 degrees

Then, we have the angles written as;

90 degrees

2x degrees

x degrees

Equate the angles , we have;

2x + x + 90 = 180

collect the like terms, we have;

2x + x = 180 - 90

add or subtract the like terms, we have;

3x = 90

divide by the coefficient

x = 30

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The value of c in the triangle is (b) 5 units

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

The right triangle

The length c is the hypotenuse of one of the triangles and can be calculated using the following Pythagoras theorem

c² = sum of squares of the legs

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

c² = 3² + 4²

Evaluate

c² = 25

Take the square roots

c = 5

Hence, the hypotenuse of the right triangle is 5

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The required length of AC in triangle ABC is b = 119.57 units.

In triangle ABC, we have:

\($\angle B = 85^\circ$\)

\($\angle C = 53^\circ$\)

\($BC = 85 units\)

AB = c

AC = b (we need to find the value of b)

We know that the sum of the interior angles of a triangle is \($180^\circ$\). Therefore:

\($\angle A = 180^\circ - \angle B - \angle C$\)

\($\angle A = 180^\circ - 85^\circ - 53^\circ$\)

\($\angle A = 42^\circ$\)

Using the law of sines, we have:

\($\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$\)

Substituting the given values, we get:

\($\frac{c}{\sin 85^\circ} = \frac{b}{\sin 53^\circ}$\)

Solving for $c$, we get:

\($c = b \cdot \frac{\sin 85^\circ}{\sin 53^\circ}$\)

We also know that:

\($\frac{a}{\sin A} = \frac{85}{\sin 42^\circ}$\)

Solving for a, we get:

\($a = 85 \cdot \sin 42^\circ$\)

Now we can use the law of cosines to find b:

\($b^2 = a^2 + c^2 - 2ac \cdot \cos B$\)

Substituting the known values, we get:

\($b^2 = (85 \cdot \sin 42^\circ)^2 + \left[b \cdot \frac{\sin 85^\circ}{\sin 53^\circ}\right]^2 - 2 \cdot 85 \cdot b \cdot \sin 42^\circ \cdot \sin 85^\circ/(\sin 53^\circ)$\)

Simplifying and solving for b, we get:

b = 119.57 units

Therefore, the length of AC in triangle ABC is b = 119.57 units.

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Answer:

x= -1

Step-by-step explanation:

hope it's helpful to you ☺️