Elk middle school has 264 students. There are 84 students in the eighth grade. There are 22 fewer seventh-grade students than sixth-grade students

Answer:

Step-by-step explanation:

If the diameter of the semicircle is 6, then its radius is 3. The formula we use for this is the area of a circle divided in half, or:

[tex]A=\frac{\pi r^2}{2}[/tex] using 3.14 for pi, as instructed.

[tex]A=\frac{(3.14)(3)^2}{2}[/tex] and

[tex]A=\frac{(3.14)(9)}{2}[/tex] and

[tex]A=\frac{28.26}{2}[/tex] so

A = 14.13 square cm

We know that, Area of circle is given by : π × radius²

Semicircle is exactly half of a circle. So, Area of semicircle should be half of the area of a circle.

[tex]\implies \sf{Area \ of \ a \ Semicircle = \dfrac{\pi \times (radius)^2}{2}}[/tex]

Given : Diameter of the semicircle is 6 cm

We know that, Radius is half of the Diameter

So, Radius of the Semicircle : 3 cm

[tex]\implies \sf{Area \ of \ the \ given \ Semicircle = \dfrac{\pi \times (3)^2}{2}}[/tex]

[tex]\implies \sf{Area \ of \ the \ given \ Semicircle = \dfrac{3.14 \times 9}{2}}[/tex]

[tex]\implies \sf{Area \ of \ the \ given \ Semicircle = (3.14 \times 4.5)}[/tex]

[tex]\implies \sf{Area \ of \ the \ given \ Semicircle = 14.13 \ square \ centimeters}[/tex]

Answer:

B

Step-by-step explanation:

The sum of the interior angles of a polygon is given by the formula s=180(n-2), where s is the sum and n is the number of sides.

In this case, the polygon has 6 sides, so s=180(6-2) or s=180×4, which equals 720.

To work out x, subtract all the other values from this amount, so x=720-90-105-130-145-115, or x=720-585. This equals 135°, so the answer is B.

**This content involves interior angles of irregular polygons, which you may wish to revise. I'm always happy to help!

Answer:

B) 135

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Answer:

5/8

Step-by-step explanation:

SUM OF RATIOS = 5 + 3 = 8

fraction of blue sweet = blue sweet ratio / sum of ratios = 5/8

Answer:

x = -3

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5-4*x-(17)=0

1.1     Pull out like factors :

  -12 - 4x  =   -4 • (x + 3)

2.1      Solve :    -4   =  0

This equation has no solution.

A a non-zero constant never equals zero. 2.2      Solve  :    x+3 = 0

Subtract  3  from both sides of the equation :

                     x = -3

Answer:

Total number of wreaths = 3.5 wreaths

Step-by-step explanation:

Given:

Number of medium wreaths = x

Number of larger wreaths = 2[Number of medium wreaths]

Number of small wreaths = [1/2][Number of medium wreaths]

Find:

Total number of wreaths

Computation:

Total number of wreaths = Number of medium wreaths + Number of large wreaths + Number of small wreaths

Total number of wreaths = Number of medium wreaths + 2[Number of medium wreaths] + [1/2][Number of medium wreaths]

Total number of wreaths = x + 2x + 0.5x

Total number of wreaths = 3.5 wreaths

Answer:

area = 15 units ^2

Step-by-step explanation:

you look at width times height (just count the blocks vertical and horizontal)

width = 3 units

height = 5 units

area = 15 units ^2

The value of x will be equal to 13 degrees.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

Angles that are identical to one another are referred to as congruent angles. As a result, these angles have the same measure as one another.

Given that the two congruent angles in an isosceles triangle measure 3X + 10 and 5X - 16.

The value of x will be calculated by equating the two angles.

3X + 10 = 5X - 16.

5X - 3X = 16 + 10

2X = 26

X = 26 / 2 = 13

Therefore, the value of x will be equal to 13 degrees.

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Answer:

The answer is 117.3 [tex]in^{3}[/tex].

Step-by-step explanation:

To solve for the volume of the cone, use the cone volume formula, which is   V = [tex]\frac{1}{3} \pi r^{2} h[/tex].

Next, plug in the information given from the problem, and the formula will look like V = [tex]\frac{1}{3} (\pi) (4 in^{2}) (7 in)[/tex].

Then, solve the equation, and the answer will be 117.3 [tex]in^{3}[/tex].

Answer:

The ratio of AC : CB is 2 : 3

Step-by-step explanation:

Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:

Using distance formula, it is found that the ratio of AC : CB is 2 : 3

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]   units.

Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:

AC = √[(2.6 -1)² + (1.8 - 1)²]

AC = √[(1.6 )² + (0.8)²]

AC =  2√(0.8)

Similarly, CB = √[(2.6 -5)² + (1.8 - 3)²]

CB = 3√(0.8)

Therefore, the ratio of AC : CB is 2 : 3

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Answer:

It will take 48 hours for the entire icicle to melt.

Step-by-step explanation:

12 divided by 1/4 = 48

The linear equation to model the situation is f(x) = -1/4x + 12

Write a linear equation in slope-intercept form to model the situation. An icicle is 12 inches long and melts at a rate of 1/4 inch per hour.

The given parameters are:

The above means that:

A linear equation is represented as:

f(x) = mx + c

Where f(x) represents the function and x represents the number of hours.

So, we have:

f(x) = -1/4x + 12

Hence, the linear equation to model the scenario is f(x) = -1/4x + 12

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Answer:

It's the second option, 0.13.

Step-by-step explanation:

Step 1 : Find how many marbles there are in the bag all together.

4 + 4 + 12 = 20 marbles all together

Step 2 : Find what the probability of choosing a red marble is first.

4 red marbles out of 20 marbles =

[tex]P_{1} = \frac{4}{20}[/tex]

Step 3 : Find the probability of choosing a yellow marble now.

Since one red marble was already taken, there are less marbles in total.

Instead of 20 marbles now there are only 19 marbles.

There are 12 yellow marbles out of 19 marbles =

[tex]P_{2} = \frac{12}{19}[/tex]

Step 4 : To get the probability of both of these events happening, we multiply the 2 probabilities.

[tex]\frac{4}{20}[/tex] · [tex]\frac{12}{19}[/tex] = [tex]\frac{12}{95}[/tex]

Step 5 : Express your answer as a decimal.

12 ÷ 95 = 0.12631578947

Rounded to the nearest hundreth that's 0.13.

It's the second option, 0.13.

Hope this helps, please mark brainliest if possible. Have a nice day. :)

The probability of choosing a red and then a yellow marble is 0.13.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

It is given that Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.

That means that there are a total of 4+4+12=20 marbles.

Now to find the probability that she pulled out a red marble first and a yellow marble second.

The probability of choosing a red marble out of 20 marbles is:

P = 4/ 20

The probability of choosing a yellow marble on the second draw is:

P = 12/19

Hence, the probability of choosing a red and then a yellow marble is:

P = 4/ 20 x  12/19

P = 0.13

Hence, the probability of choosing a red and then a yellow marble is 0.13.

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E)6,2 is la reposta espero te sirva Friends

Step-by-step explanation:

tanks por los points

Answer:

240 cubic units

Step-by-step explanation:

5*6=30 (the base they show)

30*8=240

Answer:

smaller x =5

largee x =13

vertex of the parabola = (-7,-4)

Step-by-step explanation:

Let's first rearrange so it's easier to look at: y = 2x +6

To find the perpendicular slope you need to find the negative reciprocal of m so flip and change the sign:

m= -1/2

Next plug in the point (0, -2) into the point-slope equation of a line:

[tex]y2 - y1 = \frac{ - 1}{2} (x2 - x1) \\ [/tex]

y-(-2) = -1/2 (x-0)

y + 2 = -1/2x

y = -1/2x - 2

Therefore the equation is y = -1/2x - 2

Answer:

20.30

Step-by-step explanation:

[tex] = 17 \div \tan(40) \\ = 17 \div 0.8391 \\ = 20.26[/tex]

To the nearest tenth =20.30

Answer:

4 and 3/4

Step-by-step explanation:

Multiplying 3/4 times 5 days will give you 3.75 hours (or 3 and 3/4ths)

1/2 times 2 days will give you one hour

adding these together will give you 4.75 or 4 and 3/4ths

Answer:

C

Step-by-step explanation:

3/4 * 5 + 1/2 * 2 = 15/4 + 1 = (15+4)/4 = 19/4 = 4.75 = 4 3/4

Answer:

≈16.22

Step-by-step explanation:

AC-AD=DC

35^2-10^2=1125

√1125=15√5=AC

To find AD, you will need to use the 30, 60, 90 triangle rule.

Because of this rule, AD will be 10√3

15√5-10√3≈16.22

Answer:

42

Step-by-step explanation:

Since 2x is multiplication, you have to do the inverse (opposite) of that. The opposite of multiplication is division. You have to divide 2 with 84 to find x.

2x=84

----  ----

2      2

x=42

Answer:

25%

Step-by-step explanation:

The discount percent markdown on the shoes is 20%.

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the regular price of the shoes is $85 and the sale price is $68.

The difference between the regular price and the sale price is:

85 - 68

= 17

Therefore, 17 is reduced from the regular price of $85, the percentage decrease is given by:

(17/85) × 100%

= 20%

Hence, the discount percent markdown on the shoes is 20%.

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Here is the answer with the explanation of how I got there. Hope it helps!

Answer:

nonlinear

Step-by-step explanation:

======================================================

Explanation:

Plug in x = 1

f(x) = 17-x^2

f(1) = 17-1^2

f(1) = 17-1

f(1) = 16

Repeat for x = 5 to find that f(5) = -8

Now we'll use the formula below to find the average rate of change from x = a to x = b.

[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(5)-f(1)}{5-1}\\\\m = \frac{-8-16}{4}\\\\m = \frac{-24}{4}\\\\m = -6\\\\[/tex]

The average rate of change is -6

The formula is basically the slope formula, more or less. So that's why I used 'm' to represent the average rate of change.

The average rate of change on the interval [1,5] is the same as finding the slope through the lines (1, 16) and (5, -8)

Answer:

51m

Step-by-step explanation:

For this equation, you want to use pythagoras' theorem (or pythagorean theorem) to work out the hypotenuse (diagonal line)

The formula for this is a²+b²=c², where c is the hypotenuse.

We can sub in the 2 sides for a and b, turning the equation into 24²+45²=c².

Working out the squares gives 576+2025=c², which can be solved to c²=2601.

To get c, we must square root both sides, which results in c=51m.

**This question involves pythagoras' theorem, which you may wish to revise. I'm always happy to help!

Answer:

4 days

Step-by-step explanation:

The patio takes 4 people 2 days, so that is 4×2. To get this for 2 people, it's 2×4. This means it takes 4 days.

Think about it, for half the people, it should take double the time.

Answer: The answer would be 3 +n +4 = 5

Step-by-step explanation:

Welcome

Answer:

see explanation

Step-by-step explanation:

let the number be n , then

[tex]\frac{n}{3}[/tex] + 4 = 5

Answer:15

Step-by-step explanation: i a siwishy fishey

Answer:

The slop is - 1/2

Step-by-step explanation:

The slop is what x is multiplied by,

Bonus: What you add is the y interspet , in this case 1/4