Using a ruler and a protractor, make an accurate drawing of the triangle shown below. Measure length c in your drawing. Give your answer to 1 d.p. C 9 cm 8 cm 20° Not drawn accurately
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The probability that it is in a winning position will be 0.8036.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

A coin that is 2 cm in diameter is tossed onto a grid of squares each having a side length of 4 cm. A coin is in a winning position if no part of it touches or crosses a grid line, otherwise it is in a losing position.

Then the probability of winning is calculated as,

P = [a² - πd² / 4] / (a²)

P = [4² - 3.14 x 2² / 4] / (4²)

P = (16 - 3.14) / 16

P = 0.8036

The probability that it is in a winning position will be 0.8036.

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The formula for the area of a trapezoid is (1/2)(b1 + b2)h, where b1 and b2 are the lengths of the bases, and h is the height.

Describe the trapezoid shape.

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.

We know that the area is 104 square centimeters and the height is 8 centimeters, we can use that to find the length of the second base.

104 = (1/2)(b1 + b2) * 8

104 = (1/2)(12+b2) * 8

104 = (1/2)(12+b2) * 8

104 = 6 + 4b2

98 = 4b2

b2 = 98/4 = 24.5 cm

The second base of the trapezoid is 24.5 cm.

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Answer:

I got 34 for number 8

Step-by-step explanation:

I'm not sure what number 7 is but hope this helped

(the work on top is where I started on 7)

Answer:

(4,7)

Step-by-step explanation:

-2x + 3y = 13

-3(x + y = 11)

take the whole bottom equation and multiply by -3 to eliminate the 3y

-2x + 3y = 13

-3x -3y = -33

cancel out 3y

-2x = 13

-3x = -33

add -2 to -3 and 13 to -33

to get -5x = -20

divide -5 on both sides

x = 4

then you can do the exact same steps to find the y coordinates, but if x is 4 then the coordinate point is (4,7)

Answer:

4/19

Step-by-step explanation:

Jar a: 3/8

Jar b: 1/11

8+11 = 19

3+1= 4

4/19

The average speed of a train travelling 240 km in 4 hours is 60 km/h.

Distance = 240 km

Time = 4 hours

Speed = Distance/Time

Speed = 240 km/4 hours

Speed = 60 km/h

The average speed of a train is calculated by dividing the total distance travelled by the total time taken to travel that distance. In this case, the train has travelled a total distance of 240 km in 4 hours. We can calculate the average speed of the train by dividing 240 km by 4 hours. This gives us an average speed of 60 km/h. This means that the train travelled an average speed of 60 km/h for the entire journey. This speed is the average speed of the train, which means that it could have been travelling faster or slower than this at different times during the journey.

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The inequality is true.

Inequality is one that leads to unequal or biased outcomes and is an unjust distribution of resources and opportunities. It leads to an increased resolution of the opportunities and resources. Has a socio and political-economic structure.

Thus the answer is 3 to +3 in increments of 1 5/6 to -1/3 21/3 >21/6.

The inequality makes the comparisons between no. or the expressions in the terms of greater or less depending on how numbers are arranged on the number line.

A number line that is going from the negative 3 to positive 3 and is in increasing order.

The second one shows the positive value of 5/6 towards decreasing and a negative value of the -1/3 hence is also correct The third one depicts the 2 and one-third greater than 2 and one half.

Hence the option 1, 2, and 3 are true.

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Jaden produces four trays in total.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, Jayden is making frozen dog treats for his puppy Spot. He mixes 1 quart of yogurt, 10 fluid ounces of peanut butter, and 6 fluid ounces of honey. Then, he freezes the mixture in ice cube trays.

Since 1 quarts = 32 fluid ounces

The total quantity of a mixture (in ounces) = 32 + 10 + 6

The total quantity of a mixture (in ounces) = 48

Since Each tray holds 16 fluid ounces of treats.

Thus the total number of trays Jayden makes = 48/ 16

the total number of trays Jayden makes = 4

Therefore, the total number of trays Jaden makes is 4.

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The value of log_49 7 is approximately 0.1845. The value of log_49 7 can be calculated by dividing the logarithm of 7 by the logarithm of 49.

log_49 7 = log(7) / log(49) = 0.1845

The value of log_49 7 can be calculated by dividing the logarithm of 7 by the logarithm of 49. When this calculation is performed, the result is approximately 0.1845. This calculation can be used to determine the logarithmic value of a number to a given base. In this case, the base is 49 and the number is 7. This means that the logarithmic value of 7 to the base 49 is approximately 0.1845.

The value of log_49 7 is approximately 0.1845. The value of log_49 7 can be calculated by dividing the logarithm of 7 by the logarithm of 49.

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The number of feet Jacob has traveled since he started walking toward Elizabeth is 2.5t .

Let the distance between Jacob and Elizabeth is 210 feet

Distance = speed x time

Jacob is walking at the constant speed of 2.5 feet per second

and Elizabeth is walking at a constant speed of 4.5 feet per second

Let the distance traveled by jacob be x and distance traveled by Elizabeth be (210 - x)

Let t be time passed when they both started walking towards each other

So the time taken by Jacob to cover x amount of distance is t

so by formula Distance = speed x time

x = 2.5 x t

So number of feet jacob has traveled since he started walking toward elizabeth is 2.5t.

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

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Two boxes contain a total of 175 screws. one box has 6 times more than the other. 150 screws are in the large box. So the answer is C. 150.

The given problem can be solved by using algebra. Let x be the number of screws in the smaller box. Then, the larger box has 6x screws. We know that the total number of screws in both boxes is 175, so we can set up the equation:

x + 6x = 175

7x = 175

x = 25

So, the smaller box has 25 screws and the larger box has 6x = 6(25) = 150 screws.

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Answer: 5.96

Step-by-step explanation: the bottom two are too much and the first is by far too less

If the  bridge connecting two cities separated by a lake has a length of 3961 miles, using the table, the length of the bridge in yards is 6971360

You should understand that 3 feet makes 1 yard

The given parameter that will help us to solve the problem is

12 inches = 1 foot

3 feet = 1 yard

36 inches = 1 yard

5280 feet = 1 mile

1760 yards = 1 mile

But the given length is 3961 miles to be converted to yards

This implies that (1760 * 3961) miles will give you

6971360 yards

Conclusively, 6971360 yards make 3961 miles

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The formula to write the function with vertex and point is y = a(x−h)² + k

The term function is referred as a relationship between inputs where each input is related to exactly one output and the function has a domain and codomain or range.

Here we have to write a function given the vertex and a point.

As we all know that the general form of the function is written as follows:

=> f(x) = ax² + bx + c

While in the given question, here we have the value of vertex and the point of the graph, then the general form of the equation is rewritten as, follows:

=> f(x) =  a(x−h)² + k

Here the terms (h, k) refers the vertex and a refers a constant multiplier.

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L on JK such that JK : JL = 4:1 if J(-3,5) and K(1,-10) is: [-2, 5/4]. This can be solved using the section formula.

In order to get the location of a point that splits a line segment connecting two points into two sections with a length ratio of m:n, the section formula is utilised. The Section formula is used in coordinate geometry to determine whether a line segment is divided internally or externally by a point. To determine a triangle's centroid, in center, and ex-center, apply this formula. It is used in physics to identify equilibrium locations, the mass center of systems, and other concepts.

JK : JL = 4 : 1

That means JL = 1 and LK = 3

Now, (x₁, y₁) = (-3, 5)

(x₂, y₂) = (1, -10)

from above data, m = 1 and n = 3

Next, applying By section formula, we get:

= [(mx₂ + nx₁)/ (m + n) , (my₂ + ny₁)/ (m + n)]

= [(1 × 1 + 3× -3)/ (1 + 3) , (1×(-10) + 3 × 5)/ (1 + 3)]

= [-8/4 , 5/4]

= [-2, 5/4]

so, L = [-2, 5/4]

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Answer:

The answer is option B

Step-by-step explanation:

-7z - 2.5 + 3.5z + 4y - 1.5

- 3.5 z + 4y - 4 (B)

// in case you are wondering the reason i got -2.5 is + sign outside and the - sign inside = -2.5

// Basically I just combined the like terms and solved it

Answer:

45

Step-by-step explanation:

45

Answer:

y=3x-10 (perpendicular)

y=-3x+9 (parallel)

Step-by-step explanation:

perpendicular means that the slope is opposite, the opposite of -1/3x is 3x

to find the y intercept, you plug in the points into the equation

2=3(-4)+b

2=-12+b

-10=b

y=3x-10

parallel means that the slope is the same

you do the same thing as before

3=-3(2)+b

3=-6+b

9=b

y=-3x+9

The point  slope equation of the line from the given points (-2, 6) and

(1, 1) is 3y+5x = 8 .

What is equation of straight line ?

The equation of straight line as follows , y  = mx+b .

where m is the slope .

Given ,

To find the point slope equation of the line

from the given points (-2, 6) and (1, 1).

First we have to find slope,

so slope = y2-y1 / x2-x1

This is (1-6)/(1-(-2))  = -5/3

Now that you know the slope you can use that for the point-slope equation

The point-slope equation is y-y1 = m(x-x1).  If we start with y-6, the x value is -2 (from our point (-2,6)

y-6 = -5/3 (x-(-2))

y-6 = -5/3 (x+2)

3(y-6) = -5(x+2)

3y - 18 = -5x -10

3y+5x = 18-10

3y+5x = 8

Hence, The point  slope equation of the line from the given points (-2, 6) and (1, 1) is 3y+5x = 8 .

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The relation between angles ∠1 and ∠2 will be the adjacent angles. Then the correct option is A.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

The property of angles are as follows:

The relation between angles ∠1 and ∠2 will be the adjacent angles. Then the correct option is A.

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The complete question is attached below.

The size of an exterior and interior angle of a regular 15-sided polygon is 24° and 156° respectively.

To find the size of each interior angle of a regular polygon you need to find the sum of the interior angles first.

If the number of sides is n, then the sum of the interior angles is:

S = 180 (n-2)

This formula derives from the fact that if you draw diagonals from one vertex in the polygon, the number of triangles formed will be 2 less than the number of sides. Each triangle has 180°.

This form of the formula derives from drawing triangles in the polygon by drawing lines from a central point to each vertex. In this way the number of triangles is the same as the number of sides, but the angles at the centre are not required, so 360° is subtracted.

Once you have the sum of all the interior angles you divide by the number of sides to find the size of each interior angle.

Each interior angle of a regular polygon with n sides:

θ = 180°(n-2)/n

Put n = 15

∴ θ = 180°(15-2)/15 = 156°

Each exterior angle of a regular polygon with n sides:

β = 180° - θ

Put θ = 156°

∴ β = 180° - 156° = 24°

Thus, the size of an exterior and interior angle of a regular 15-sided polygon is 24° and 156° respectively.

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Answer:

Step-by-step explanation:

[tex]|-5-4| - |1+-3|[/tex]

|-9| - |-2|

9-2

7

Answer: -2

Step-by-step explanation:

Let the number be w

3*(w+5) = 9

Expanding, we get 3w + 15 = 9

                             3w = 9 - 15 = -6

                              w = -6/3 = -2

The length of the above given rectangle is 16.8m.

Given data :

area of square = 181.44 m

rectangle wide = 10.8 m

Length of the rectangle = ?

Length of the rectangle = 10.8 x _____ =  181.44

= 181.44 / 10.8 = 16.8m

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Median = 22, Lower Quartile = 9, Upper Quartile = 28,

Interquartile Range = 19, Lower Whisker = 6 , Upper Whisker = 30

Step 1: First, arrange the data in numerical order:

6, 7, 9, 9, 20, 22, 26, 28, 29, 30

Step 2: Calculate the median (middle value):

Median = 22

Step 3: Calculate the lower quartile (Q1):

Q1 = 9

Step 4: Calculate the upper quartile (Q3):

Q3 = 28

Step 5: Calculate the lower whisker (lowest value):

Lower whisker = 6

Step 6: Calculate the upper whisker (highest value):

Upper whisker = 30

Step 7: Plot the data points:

6, 7, 9, 9, 20, 22, 26, 28, 29, 30

Step 8: Draw the boxplot:

The boxplot should have a box with the lower whisker at 6, the lower quartile (Q1) at 9, the median at 22, the upper quartile (Q3) at 28, and the upper whisker at 30.

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Hope it helps.

If you have any query, feel free to ask.

Answer:   A positive 18

hope this helps any

Answer:

Step-by-step explanation:

z^2 = 1

3 *1 = 3

PLUG IN:

3((-1)^2)-(3*-5)

3-(-15)

3+15= 18

The answer is A

The values of n and m in the expression are 45 and 9 respectively.

The value of n is both 5 times as the value of m and 36 more than the value than value of m. Therefore, the values of n and m can be found as follows:

Using equations,

n = 5m

n = 36 + m

By substitution,

5m = 36 + m

5m - m = 36

4m = 36

divide both sides by 4

m = 36 / 4

m = 9

Let's find the value of n.

n = 5(9)

n = 45

Therefore,

n = 45 and m = 9

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Addition, subtraction, multiplication, and division are the four fundamental mathematical operations.

Even the most complex mathematical theories use addition, subtraction, multiplication, and division. So one of the keys to developing a grasp of math, and particularly algebra, is to master them. These (and other) procedures are now easily performed thanks to electronic calculators, but these tools can also lead to a dependence that makes truly understanding mathematics challenging. Calculators can be useful for double-checking answers, but if you rely on one too much, you risk missing out on the kind of challenging mental exercises that can improve your ability to not just do math but also grasp what you are doing completely.

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