✓ 2 ✓ 3 ✓4 Find the missing side length. Assume that all intersecting sides meet at right angles. Be sure to include the correct unit in your answer. 16 A 9 A 13 A Check PLUS EGEE E Com. Tune here to

The volume of the figure = volume of first cone + volume of second cone + volume of a hemisphere

Formula

Volume of a cone = 1/3πr²h

The volume of hemisphere = 2/3πr³

Therefore

r = radius , h = height

where h1 = 20in , h2 = 18in and r = 15in

Volume of the first cone = 1/3πr²h1

= 1/3 x π x (15)² x 20

= 1500π in³

Volume of the second cone = 1/3πr²h2

= 1/3 x π x (15)² x 18

= 1350π in³

Volume of hemisphere = 2/3πr³

= 2/3 x π x (15)³

= 2250π in³

Therefore

The volume of the figure = 1500π in³ + 1350π in³ + 2250π in³

= 5100π in³

Hence the volume of the figure = 5100π in³

Note that if the angles are complementary with each other, the sine and cosine are the same.

From the problem, sin 60 = √3/2, the complement of 60 degrees is 30,

so cos 30 is the same as sin 60.

The best answer is Choice A

The point-slope form that passes through (4, -3) and (2, 1) is y+3 is −2(x−4). A slope of a line is the change in y coordinate with respect to the change in x coordinate.

The slope of the line and any points on the line determine the point-slope form of a line. When given a point on the line and the slope, the form's purpose is to describe the equation of the entire line.

The slope of a line passing through the two points P=(x1,y1) and Q=(x2,y2)  is given by m = y2−y1 / x2−x1

We have that x1=4, y1=−3, x2=2, y2=1.

Plug the given values into the formula for slope: m = (1)−(−3)/(2)−(4)

=4−2 =−2.

Now, the y-intercept is b=y1−m⋅x1 (or b=y2−m⋅x2, the result is the same).

b=−3−(−2)⋅(4)=5.

Finally, the equation of the line can be written in the form y=mx+b.

y=−2x+5.

The slope of the line is m=−2.

The equation of the line in the slope-intercept form is y=−2x+5.

The equation of the line in the point-slope form is y+3=−2(x−4).

The equation of the line in the point-slope form is y−1=−2(x−2).

The general equation of the line is 2x+y−5=0.

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This is a type of radioactive decay problem. Given an initial amount of N0, the amount at t years is given by

The information "27 years is the half-life of the substance" means that if we replace t by 27, we will get exactly half of the initial amount we had. That is

We can cancell out N0 on both sides, so we get

using the properties of exponentials, we have the equivalent equation

which is also equivalent to

If we apply natural logarithm on both sides, we get

Finally, we can divide both sides by 27, to get

So, the function that describes the amount of the subtances at time t is given as

Now, we want to calculate the value of t, for which the amount we have at year t is exactly 66% of what we have at t=0. That is

We can cancell out N0 and, by equivalence by using the properties of exponents, we get

which is also equivalent to

if we apply the natural logarithm on both sides, we get

Finally, we want to solve for t. To do so, we can multiply by 27 and then divide by ln(2). So we get

with help of a calculator, we have that t is approximately 16.185. That is, about after 16 years, we will have 66% of the initial amount.

∠KU and ∠LE are vertically opposite angles, which means that they are congruent, so that:

∠LUE and ∠LKE intersect the same arc mLE, which means that they are congruent:

∠KU and the vertex angle marked in blue are supplementary angles, which means that they add up to 180º:

Knowing two of the three angles of the upper triangle, you can calculate the measure of the missing one, ∠ULK:

∠ULK and ∠UEK intercept the same arc mKU, so they are congruent:

Hello there. To solve this question, we have to remember how to convert kilograms to grams.

Given an amount in kilograms, to determine its value in grams, we simply multiply it by 1000.

In this case, we know that Mr. Cume bought the amount of clay listed for his class:

- 2.2 kilograms

- 1.5 kilograms

- 850 grams

- 700 grams

To determine how many grams of clay he bought, we start converting the values from kilograms to grams

2.2 kilograms * 1000 = 2200 grams and

1.5 kilograms * 1000 = 1500 grams

Now, we add everything

2200 + 1500 + 850 + 700 = 5250 grams

This is the final answer to this question.

ANSWER

3.872

EXPLANATION

Given:

A number 15

Desired Outcome:

Square root of the number

Square root of 15

Step 1:

Starting on the right, we'll put a bar above the digits to match them together.

Step 2:

Find a number that when multiplied by itself produces a result that is less than or equal to 15 and close to 15. So the answer is three. Using 3 as the divisor, we get 3 as the quotient (same as the divisor), and 6 as the remainder.

Step 3:

Enter the divisor twice with a blank on the right. Choose the largest possible digit to fill in the blank, which will become the new digit in the quotient, so that the resultant product is less than or equal to the dividend when the new divisor is multiplied by the new quotient. Divide the leftover and write it down. Repeat this method until you get the desired number of decimal places.

Hence, the square root of 15 is 3.872

The area of the polygon = Sum of area of eight triangles + area of a square.

Area of the square

Area of one triangle

Given:

Albers Elementary School has 26 teachers

Bothel Elementary School has 14 teachers

And the total number of teachers at Albers and Bothel combined is 27

Note, there a number of teachers working at both schools

We will let the following:

The number of teachers at Albers = x

The number of teachers at Bothel = y

The number of teachers at both = z

So, we can write the following system of equations:

x + z = 26 ⇒ (1)

y + z = 14 ⇒ (2)

x + y + z = 27 ⇒ (3)

Solving the system of equations to find x, y, and z

From (1) ⇒ x = 26 - z

From (2) ⇒ y = 14 - z

Substitute with (x) and (y) into equation (3)

So, the answer will be

The number of teachers teach at both schools = 13

Here, the variable is the number of watches.

The profit on each watch it sells is, $25.

The least profit to be made is, $375.

Let x be the number of watches, Then we have, the total profit as,

This profit should be atleast 375, therefore, we have,

The function is made of the following ordered pairs:

(-1,-3) (1, -5) (2, 3) (3, 6) (5, 6) (7, -1)

The first coordinate of the ordered pairs is the input value and the second coordinate is the output value of the function.

The domain is the set of all the input values as shown below:

Domain: {-1, 1, 2, 3, 5, 7}

Range: {-3, -5, 3, 6, -1}

Sorting the values of the range.

Range: {-5, -3, -1, 3, 6}

we can easily calculate that -6 times -6 times- 6 =- 216 it is why we can do this equality

because we have an exponent 3 and a cubic root we can cancel both so the answer of

The coefficient of the term x²y in the binomial expansion of (2x − y)³ is -12.

The expression (2x − y)³ can be simplified as

8x³−12x²y+6xy²−y³ .

Thus the coefficient of the binomial expansion is  -12.

Of the use of the binomial theorem, it is possible to determine the expanded value of either formula with the form (x + y)ⁿ.

The values of (x + y)², (x + y)³, and (a + b + c)² can be easily determined by adding the integers algebraically in accordance with the exponent value.  

The binomial theorem was first mentioned by a well-known Greek mathematician by the name of Euclid in the fourth century BC.

According to the binomial theorem, which represents it as a sum of terms using distinct exponents of the variables x and y, the algebraic statement (x + y)ⁿ can be expanded. A coefficient, or numerical value, is assigned to each word in a binomial expansion.

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Step 1

to know the full distance for the track running we need to add twilce the length of the rectangle to the perimeter of the circel, so

so

a) find the circumference of the circle , it is given by

hence

finally, add twice the length of the rectangle, so

therefore, the answer is

I hope this helps you

Vihaan got 38 in her geography test

Since the geography test has a total score of 48

Since Sahaj got 80% of it, then multiply 80/100 by 48 to find his score

Sahaj got 38.4 on the geography test

Since Jada got 0.8125 on her geography test, then multiply 0.8125 by 48 to find her score

Jada got 39 on the geography test

The greatest one is Jada, then Sahaj, then Vihaan

Quinn thinks that Vihaan got the higher score

But Jada the one who got the higher score

Then Quinn is not right

Part A: Transformation which mapped ABC to A′B′C′; reflection along x-axis.

Part B: The coordinate of B" is the same as the coordinate of B'.

For the given question;

The coordinates are-

∆ABC; A(-6, 2), B(-2, 6), C(-4, 2).

∆A′B′C; A'(-6, - 2), B (-2, -6), C (-4, -2).

A) We are now told that ABC was transformed into

∆A′B′C. We can see from the coordinates that merely the y coordinate sign modified after the transformation.

As a result, the transformation which mapped ABC to A′B′C′ is a reflection along the x-axis.

B) A′B′C′ is now reflected all across line x = -2 to form A′′B′′C′′. Because the line x = -2 is vertical as well as the coordinate of B' in A′B′C′ has had an x - coordinate of -2,

Thus, the coordinate of B" is the same as the coordinate of B'.

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Given that Alberta Emery can sew 1 dress in 3 days. so the efficiency of Alverta Emery is given by,

Similarly, given that Allison Taylor takes 2 days to sew 1 dress, so the efficiency of Allison Taylor is given by,

When they combine their efforts, the amount of work done per day is given by,

So the number of days required to sew 30 dresses when both of them work together, is calculated as,

Thus, they will take 36 days to sew 30 dresses.

Let's use the letter M to label the math class. The fact that person y is in that class can be expressed by:

We also have to show that is older than 100 so we have:

If we put all this information together we get:

And that's an alternative way to express the set.

SOLUTION:

Case: Limits

Method:

Right and left-sided limits.

The right sided limits is gotten from the right-hand side and gives an f(x) of 0 while the left sided limits gives an f(x) of 1.

Final answer: Option

the value for green box is 7.61

It can be calculated using sine law

first we need to know the angle opposite of 5

using sine law

Answer:

See below

Step-by-step explanation:

Final amount of pure antifreeze =   .75 (50)

amount of 70 % that is pure antifreeze =  .70 x

amount of 95 % that is pure antifreeze = .95 (50-x)

ingredients in  =  ingredients out

.70x     +    .95 (50-x)       = .75 (50)

x = 40 gal    this is the amount of 70 %

    then 95 % = 50 - 40 = 10 gal

The expression is:

8h + (-7.3d) - 14 + 5d - 3.2h

collecting like terms, we have:

8h - 3.2h +(-7.3d) + 5d - 14

= 4.8h - 7.3d + 5d - 14

= 4.8h - 2.3d - 14

That is the expression simplified

The probability of rolling doubles on a single turn is the number of favorable cases over the number of total cases, the favorable cases are those when you get a double, the number of total cases is the number of total possible outcomes.

Now, the number of total possible outcomes is

The number of favorable cases is

Therefore, the probability of rolling doubles is:

Now, the probability of rolling double 3 times in succession is the product of rolling a double in a single turn, therefore:

Answer:

The probability of rolling doubles on a single turn is:

The probability of rolling doubles 3 times in succession is:

The compound interest formula is:

Therefore:

Mcd (max common divisor) of 12, 24 = 12

(Because 24/12= 2 )

are

2,3,4,6,12

Answer:

30x8=3x_10_x8





40x7=_4_x10x7​

First one: 10

Second one: 4

Convert 15% to a fraction. Write in the lowest terms.

So,

So, the answer will be 15% = 3/20

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

Convert 26% to a fraction. Write in the lowest terms.

So,

So, the answer will be 26% = 13/50



Given the expression:

7m + 7(4m + 2)

Use distributive property to expand the parenthesis:

= 7m + 7*4m + 7*2

= 7m + 28m + 14

Sum up like terms:

= 35m + 14

ANSWER:

35m + 14

If the study shows a positive correlation means that as people bike to work increase also the percentage of people spending their vacation time at home increases

since work happens before vacation one of the statemens that is most likely to be true will be B.