The sum of the measures of angles 2 and 3 is equal to the measure of ? .

Answer:

Step-by-step explanation:

the relative frequency of elementary

school students who prefer watching

football to the total number of

elementary school students, as a

percentage rounded to the nearest

whole number

.[tex]\frac{(26)}{137} \\=0.1897\\=19%[/tex]

the relative frequency of middle

school students who prefer watching

basketball to the total number of

students, as a percentage rounded

to the nearest whole number

=[tex]\frac{50}{502} =0.0996\\\\=9.96%\\=10%[/tex]

the difference of the number of

students who like watching baseball

and the number of students who like

watching soccer

=102-59=43

the difference of the number of high

school students who like watching

soccer and the number of high

school students who like watching

tennis ..

=36-11=25

Answer:

2.05 meters

Step-by-step explanation:

Superimpose a triangle when drawing out the situation.  The distance the ladder reaches up the tree is the side of the triangle opposite of the angle.  The distance the ladder is from the tree is side adjacent to the triangle.  We can use tangent to solve this.

Tan X = (opposite side)/(adjacent side)

Tan 64 = a/1

Tan 64 = a         (anything over 1 is just itself)

2.050303842 = a   (use tan on your calculator)

They are similar because they have equal corresponding angles and proportional sides.

The answer is 2 rooms because you do 17.5 divided by 8.75 and you get 2

Answer:  First option is correct.

Step-by-step explanation:

Since we have given that

Number of rooms = 17.5

Time taken to clean = 8.75 hours

We need to find the number of rooms he clean per hour.

So, the number of rooms per hour is given by

[tex]\dfrac{17.5}{8.75}\\\\=2[/tex]

Hence, there are 2 rooms that he clean per hour.

Therefore, First option is correct.

Answer:

9

Step-by-step explanation:

9.05= 9.0=9

0 isn't greater than five, so you leave it as 9

Answer:

x equals six start fraction one over two end fraction

Step-by-step explanation:

Segments which are parallel have the same slope. Find the slope of of YZ. Then using that value, find the slope WX and solve for the value of x.

Slope of YZ is:

[tex]m = \frac{y_2-y_1}{x_2-x_1}=\frac{2-6}{2-5}=\frac{-4}{-3}=\frac{4}{3}[/tex]

Since they are parallel, then WX has a slope of 4/3 too.

Slope of WX is:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\\frac{4}{3}=\frac{-2--4}{x-5}\\\\\frac{4}{3}=\frac{2}{x-5}\\\\\frac{4}{3} (x-5) = 2\\\\4x -20=6\\\\4x = 26\\\\x = 6\frac{1}{2}[/tex]

Answer:

V = 2,260.8

Step-by-step explanation:

To find the volume of a cylinder, you must use the equation: V = pi*r^2*h.

V = pi*12^2*5

V = pi*144*5

V = pi*720

V = 2,260.8

20 + -4=16, so it is 4

Answer:

36 meters.

Step-by-step explanation:

{Bird's final elevation}= 20m+16m

{Bird's final elevation}=36 m}

Subtract 5 from both sides.

49 - 5 = 44

11q ≤ 44

Divide both sides by 11.

44/11 = 4

q ≤ 4

The answer is q ≤ 4

11q+5 ≤ 49

Subtracting 5 from both sides

11q ≤ 49 - 5

11q ≤ 44

Dividing both sides by 11

q ≤ 4

To graph the equation y = -2x - 3, start by plotting the y-intercept at (0, -3) and then use the slope to find more points. Connect these points to form the line.

The given equation is y = -2x - 3. To graph this equation, we can start by plotting the y-intercept, which is -3. This means that the line intersects the y-axis at the point (0, -3). From there, we can use the slope, which is -2, to find more points on the line. For example, when x = 1, y = -2(1) - 3 = -5. So, we can plot another point at (1, -5). By connecting these points, we can draw a straight line that represents the equation y = -2x - 3.

First, you need to choose a yellow marble. That is 6/15.

Next, you need to choose a blue marble. That is 5/14, because 1 yellow marble would have been "chosen" already.

So the probability altogether is 6/15 * 5/14 = 1/7, or about 14%.

Final answer:

The probability of randomly choosing a yellow marble, not replacing it, and then choosing a blue marble can be found by multiplying the probabilities of choosing a yellow marble and a blue marble from the jar.

Explanation:

To find the probability of randomly choosing a yellow marble, not replacing it, and then choosing a blue marble, we first need to find the total number of marbles and the number of favorable outcomes.

There are 5 blue marbles, 6 yellow marbles, and 4 green marbles in the jar, for a total of 15 marbles.

When we choose a yellow marble, there are 6 yellow marbles and 14 remaining marbles. When we choose a blue marble from the remaining marbles, there are 5 blue marbles and 13 remaining marbles.

So, the probability of choosing a yellow marble and then a blue marble is:

(6/15) * (5/14) = 1/7 or approximately 0.14

The percentage chance of a solution, or essentially its mass/volume percent concentration, with 150 g active ingredient in a total of 1000 mL of solution is 15%.

The student is asking how to calculate the mass/volume percent concentration of a solution with a given amount of active ingredient and total solution volume. To find the percentage concentration, we use the mass of the active ingredient and the total volume of the solution. In this case, it is a 150 g active ingredient in 1000 mL of solution, assumming the solution's density is 1.0 g/mL which is typical for dilute aqueous solutions.

In order to calculate the mass/volume percent (m/v %), we use the formula:

% m/v = (Mass of solute in grams × 100) ÷ Volume of solution in mL

Plugging in the values we get:

% m/v = (150 g × 100) ÷ 1000 mL = 15%

Therefore, the solution has a mass/volume percent concentration of 15%.

Final answer:

The percentage chance of the solution with 150g of active ingredient in a total of 1000mL is 15%.

Explanation:

To calculate the percentage chance of a solution containing 150 g active ingredient in a total of 1000 mL of solution, we use the concept of mass/volume percentage. This concept is often used in chemistry to express the concentration of a solute in a solution.

Assuming the density of the solution is 1.0 g/mL, which is common for dilute aqueous solutions, the total mass of the solution will also be 1000 g.

The mass/volume percentage is hence calculated as:

% m/v = (mass of solute in grams) / (volume of solution in milliliters) x 100%

In this case, it's:

% m/v = (150 g)/(1000 mL) x 100% = 15%

So, the solution has a 15% mass/volume percentage of active ingredient.

The initial value is when Y equals when x is 0.

Replace x with 0 in the equation and solve for y.

Y = -4x -3

y = -4(0) - 3

y = 0-3

y = -3

Answer:

-3

Step-by-step explanation:

The initial value of an equation is when x=0

y = −4x − 3

Let x =0

y = -4(0) -3

y = 0-3

y=-3

The initial value is -3

The two angles shown ( 134 and X) make a straight line.

A straight line equals 180 degrees.

To find X subtract 134 from 180.

X = 180 - 134

x = 46

Answer:

The circle diameter is 2 yards because half of 2 is 1 which makes the radius 1 yard.

The diameter is 2

Hope this helps

Answer:

138.3ft^3

Step-by-step explanation:

Volume for cylinders : V = pi*r^2*h

Volume for cones : V = pi*r^2*(h/3)

Since we know the radius (r) is 2 and the height is 10 and 3 for the cylinder and cone respectively, all we do is plug in.

Volume for cylinder is about 125.7ft^3

Volume for cone is about 12.6ft^3

Then just add them together for a total of 138.3ft^3

Answer:

[tex]\large\boxed{(x-9)^2+(y+5)^2=4}[/tex]

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the center (9, -5) and the radius r = 2. Substitute:

[tex](x-9)^2+(y-(-5))^2=2^2\\\\(x-9)^2+(y+5)^2=4[/tex]

Answer:

d) [tex]\cos(\theta)=-\frac{\sqrt{5}}{3}[/tex]

Step-by-step explanation:

If   [tex]\sin(\theta)=\frac{2}{3}[/tex] and [tex]\tan(\theta)\:<\:0[/tex], then

[tex]\theta[/tex] is in quadrant 2.

Recall that;

[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]

We substitute the given sine ratio to obtain;

[tex](\frac{2}{3})^2+\cos^2(\theta)=1[/tex]

[tex]\frac{4}{9}+\cos^2(\theta)=1[/tex]

[tex]\cos^2(\theta)=1-\frac{4}{9}[/tex]

[tex]\cos^2(\theta)=\frac{5}{9}[/tex]

[tex]\cos(\theta)=\pm \sqrt{\frac{5}{9}}[/tex]

[tex]\cos(\theta)=\pm \frac{\sqrt{5}}{3}[/tex]

We are in the second quadrant, therefore

[tex]\cos(\theta)=-\frac{\sqrt{5}}{3}[/tex]

ANSWER

[tex]x = 6[/tex]

EXPLANATION

The given equation is

[tex] \sqrt{3x + 7} = x - 1[/tex]

We square both sides of the equation to obtain,

[tex](\sqrt{3x + 7} ) ^{2} =( x - 1)^{2} [/tex]

This implies that,

[tex]3x + 7 = {x}^{2} - 2x + 1[/tex]

Rewrite in standard quadratic equation form.

[tex] {x}^{2} - 2x - 3x+ 1 - 7 = 0[/tex]

[tex]{x}^{2} -5x - 6= 0[/tex]

Factor

[tex](x - 6)(x + 1) = 0[/tex]

This implies that,

[tex]x = 6 \: x = - 1[/tex]

We check for extraneous solution by substituting each x-value into the original equation.

When x=-1,

[tex]\sqrt{3( - 1)+ 7} = - 1- 1[/tex]

[tex]\sqrt{4} = - 2[/tex]

2=-2....False

Hence x=-1 is an extraneous solution.

When x=6,

[tex]\sqrt{3( 6)+ 7} = 6- 1[/tex]

[tex]\sqrt{25} = 5[/tex]

5=5 is True.

Hence x=6 is the only solution.

Step-by-step explanation:

An hour and a half is 90 minutes.

Knowing this, set up a proportion.

20 over 15 is equal to x over 90.

x is equal to: 120 miles

Answer:

A) The relative frequencies in the table are reasonably close; C) The relative frequency of rolling an even number is 0.51.

Step-by-step explanation:

The relative frequencies given are at most 0.02 apart.  This means they are reasonably close.

The theoretical probability for each outcome would be 1/4, or 0.25; this means the theoretical probability of rolling an even number would be 0.50, not 0.51.

However, the relative frequency of rolling an even number would be 0.24+0.27 = 0.51.

Since the relative frequencies are reasonably close, the number cube is likely to be fair.

Answer:

Option A and C are true.

Step-by-step explanation:

Given : Dina has a number cube that she uses for a game. The number cube has the shape of a triangular pyramid, with 4 faces numbered 1 through 4.

Dina rolls the number cube 100 times and records the results. She calculates the relative frequency of each outcome

Outcome :                     1            2            3             4

Relative Frequency :   0.23     0.24      0.26       0.27

To find : Which statements about Dina's experiment are true?

Solution :

Option A - The relative frequencies in the table are reasonably close.

This statement is true, as we see that the relative frequency are all between 0.23 to 0.27 that are reasonably close.

Option B - The theoretical probability of rolling an even number is 0.51.

This statement is not true, as the theoretical probability of rolling even numbers is

2 even numbers from 4, so probability is

[tex]P=\frac{2}{4}=\frac{1}{2}=0.5[/tex]

Option C - The relative probability of rolling an even number is 0.51.

This statement is true, as the relative frequency of an even number is 0.24+0.27=0.51

Option D - The number cube is not likely to be fair.

The statement is not true, as the relative frequency are reasonably close which  implies that the number cube is likely to be fair and sum of the relative frequency is 1.

Therefore, Option A and C are correct.

Answer:5.5

Step-by-step explanation:

A. P. E. X.

The length of the line segment EF will be 55 units. Then the correct option is B.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

In the diagram, the line segment EF is the given as the half of the sum of the line segment BC and the line segment AD.

EF = (BC + AD) / 2

From the diagram, the length of the line segment AD is 7.6 units and the length of the line segment BC is 3.4 units.

Put these values in equation. Then the length of the line segment EF will be

EF = (3.4+ 7.6) / 2

EF = 11 / 2

EF = 5.5 units

Thus, the length of the line segment EF will be 55 units.

Then the correct option is B.

More about the trapezium link is given below.

https://brainly.com/question/22607187

#SPJ5

Answer:

Statements of Max Area as 100 sqft and area of less or equal to 100 sqft are true

Step-by-step explanation:

P=40

P=2L+2w

A=L•w

If L=10, w=10, A=100

If L=1, w=19, A=19

If L=0.5, w=19.5, A=9.75

If L=10.5, w=9.5, A=99.75

×Max area is NOT 10

✓Max Area is 100

×Minimum area is NOT 100

✓Area ≤100

Answer:

Step-by-step explanation:

We want to scale by a factor of 1/10 so |a| = 1/10. This means that the graph is compressed vertically.

We do not reflect across the x axis so a = 1/10.

The new parabola is: y = 1/10 x^2

The new equation of the parabola will be  [tex]y=\frac{x^{2} }{10}[/tex].

The given parabola is:

[tex]y=x^{2}[/tex]

A parabola is a plane curve that is mirror-symmetrical and is approximately U-shaped.

When the parabola y=x² is scaled vertically by a factor of 1/10.

The new equation of parabola will be = [tex]y=\frac{x^{2} }{10}[/tex].

This means the graph of a new parabola will look similar to the previous parabola(symmetric about the origin) but outputs(function values) will be different.

Hence, the new equation of the parabola will be  [tex]y=\frac{x^{2} }{10}[/tex].

To get more about parabola visit:

https://brainly.com/question/4148030

Answer:

The y-axis is dependent on the variable

Step-by-step explanation:

Just remember the acronym DRY MIX

Depenedent-responding-y axis

Manipulated-independent-x axis

HOPE THIS HELPS!!!!

the 2 equations that need to be solved are [3x+5] and x-1. If you need the answer to what x is you'd solve it by evening out the problems. so first add one to both so you'd have 3x+6=x then you'd take the 3x and subtract it from both sides making it 6=-2x. Then divide 6 by negative 2 making it -3=x.

Answer:i think the answer was 3=x but i'm not sure i really do think it is

Step-by-step explanation:

Answer:

85°

Step-by-step explanation:

Opposite angles in a cyclic quadrilateral add up to 180°.in the figure provided, angle d is opposite the angle whose value is 95° while angle c is opposite the angle marked 110°.  there fore its value can be calculated as follows:

angle d= 180-95

angle d=85°

The right answer is y=(x+3)^2 -1

Answer:

60ft/s

Step-by-step explanation:

To find the rate

rate = f(3) - f(0)

         -------------

         3-0

rate = 200-380

         ---------------

         3-0

rate = -180/3   = -60 ft/s

The negative tells us it is falling

The fall falls 60ft/s

Answer:

The correct answer is 60 feet / second.

Step-by-step explanation:

We are given the height of a ball which is falling from a height of 280 feet for 3 seconds.

We are to find the ball's rate of fall during the first 3 seconds.

For that, we will take the difference between the heights and divide it by the time.

Ball's rate = [tex] \frac { 3 8 0 - 2 0 0 } { 3 } [/tex] = 60 feet / second