Certain cooking oil has a density of 0.91 grams per milliliter. Which of the following series of calculations correctly determines the mass, in kilograms, of 15 liters of this oil?

Answer:

[tex] m\angle L = 111\degree \\

m\angle M = 69\degree [/tex]

Step-by-step explanation:

Since, angle L and angle M are supplementary.

[tex]\therefore m\angle L + m\angle M= 180\degree \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree \\ x = \frac{165 \degree}{30} \\ x = 5.5 \degree \\ \\ m\angle L = 12x + 45 \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L = 66 + 45 \\ \huge \red{ \boxed{ m\angle L = 111 \degree}} \\ \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\ [/tex]

Answer:

-2

Step-by-step explanation:

Here is a number line:

<-------+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+------>

        -6    -5     -4    -3     -2    -1      0      1      2     3      4     5      6

Start at 3, marked with an S below:

<-------+-----+-----+-----+-----+-----+-----+-----+-----+-----S----+-----+-----+------>

        -6    -5     -4    -3     -2    -1      0      1      2     3      4      5     6

Since you are adding a negative number, -5, count 5 numbers to the left starting on P which corresponds to 3.

                                        5<---4<---3<----2<---1<---Start

<-------+-----+-----+-----+-----E-----+-----+-----+-----+-----S----+-----+-----+------>

        -6    -5     -4    -3     -2    -1      0      1      2     3      4      5     6

You end up at E which corresponds to -2.

Therefore, -5 added to 3 is -2.

I don't know how your teacher can say that 3 + (-5) is not -2 since -2 is the correct answer. Perhaps you should check on the question to make sure it really is 3 + (-5) and not something else.

As you can see in the first drawing, the vertical line represents the pole which is 32.0 ft long and the horizontal line represents the shadow casted by the pole which is 45.0 ft long. The angle θ, represents the angle of elevation of the sun.

We can solve this problem using trigonometric ratios, that is sine, cosine, and tangent. Remember SOH CAH TOA?

SOH

[tex]sin = \frac{opposite}{hypotenuse} [/tex]

CAH

[tex]cosine = \frac{adjacent}{hypotenuse} [/tex]

TOA

[tex]tan = \frac{opposite}{adjacent} [/tex]

In this case, we're going to use TOA since we are given the height of the pole which represents the line opposite the angle of elevation, and the length of the shadow of the pole which represents the line adjacent to the angle of elevation.

adjacent, a = 45.0

opposite, o = 32.0

So, to find the angle of elevation, refer to the second picture above.

Answer:

Option (4)

Step-by-step explanation:

Given expression is,

[tex]\text{log}(\frac{1000a^3}{b})[/tex]

To solve this expression we will use the logarithmic properties.

[tex]\text{log}(\frac{1000a^3}{b})=\text{log}1000a^3-\text{log}(b)[/tex] [Since, [tex]\text{log}\frac{p}{q}=\text{log}p-\text{log}q[/tex]]

                 = log(1000) + log(a³) - log(b) [Since, log(pq) = log(p) + log(q)]

                 = 3 + 3log(a) - log(b)

                 = 3[1 + log(a)] - log(b)

Therefore, Option (4) will be the correct option.

Answer:

4, 7, 10, 13

Step-by-step explanation:

Step 1:

3 ( 1 ) + 1 = 4

Step 2:

3 ( 2 ) + 1 = 7

Step 3:

3 ( 3 ) + 1 = 10

Step 4:

3 ( 4 ) + 1 = 13

Answer:

4, 7, 10, 13

Hope This Helps :)

Answer:

C

Step-by-step explanation:

Answer:

B. 40, 70

Step-by-step explanation:

[tex]30 \degree + x\degree + 40 \degree = 110 \degree ..(straight \: line \: \angle 's) \\ x\degree + 70 \degree = 110 \degree \\ x\degree = 110 \degree - 70 \degree \\ \huge \red{ \boxed{ x = 40}} \\ \\ y \degree = (180 - 110) \degree.. (vertical \:\angle 's) \\ y \degree =70 \degree \\ \huge \purple{ \boxed{ y = 70}}[/tex]

Answer:

There are following two methods.

1-By using pre programmed calculator

2-By using formoula

Step-by-step explanation:

1-The first method i suggest for the calculation of area is by using the pre programmed calculator.

Enter the vertex clockwise or anticlockwise into the calculator.

this method is very fast but there is a draw back of this method it is unable to calculate the area of self intersecting polygons. This method is most efficient for the simple polygons and we calculate area very fast.

2-To overcome the draw back of above given method i suggest the method calculate the area by using formoula

First number the vertex in clockwise or anticlckwise direction.

Than use the following formoula to calculate the area of polygon.

Area of polygon= [tex](x_{1}y_{2}-x_{2}y_{1})+(x_{2}y_{3}-x_{3}y_{2})+............+(x_{n}y_{1}-x_{1}y_{n})/2[/tex]

here, if area is negative we take mode of it

[tex]x_{n}[/tex] is the x coorinate of nth vertex.

[tex]y_{n}[/tex] is the Y coorinate of nth vertex.

This method is universal. By using this method we can calculate area of any type of the polygon.

Answer:

9.5

Step-by-step explanation:

The correct answer is 9.5 because 9.49 is closer to 9.5 than 9.4

Answer:

9.5

Step-by-step explanation:

9.492 to the nearest tenth

First you would round 0.092, which would just be 0.09 because 2 is less than 5. You would then have 9.49. You would then round the 0.49, and since 9 is greater than 5, it would be 9.5 because 9 would round to 10.

Yz²-3

y = 5

Z = 3

5(3)² -3 =5 × 9 - 3 , we all remember bracket of multiplication , addition and subtraction( BODMAS)

so we'll solve the multiplication first, followed by substraction so 5×9 = 45

45 -3= 42

Answer:

There are 15 friends

Step-by-step explanation:

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) in the same proportion, the rule of three applies as follows:

a ⇒ b

c ⇒ x

Then: [tex]x=\frac{c*b}{a}[/tex]

where a, b and c are known values ​​and x is the value to be calculated.

In this case, the rule of three applies as follows: if 1/20 of a ton is the weight of 1 person, 3/4 of a ton is the weight of how many people?

[tex]number of people =\frac{\frac{3}{4} of a ton*1 person }{\frac{1}{20} of a ton}[/tex]

or, what is the same,

number of people* [tex]\frac{1}{20}[/tex] = [tex]\frac{3}{4}[/tex]

Solving:

number of people= 15

There are 15 friends

Answer:

Step-by-step explanation:

w≤500-285

The intersection of the plane X and plane Y is line CQ.

A plane is a two-dimensional flat surface in geometry. It has no thickness and goes on forever.

Here, we have two planes, X and Y.

There will always be a line at the intersection of two planes.

The planes should intersect in a straight line as long as they are not parallel.

Let CQ be the extended line of CB.

And here we have line CQ.

Which is the intersection of the planes.

Therefore, line CQ is the intersection of the planes X and Y.

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AB is the large segment.

AM is half of the large segment.

MB is the second half of the large segment.

AM = MB is true.

Segment AM is congruent to segment MB is true.

AB = MB is false.

The statements that are true.

-Segment AM is congruent to segment MB.

- AM = MB.

The midpoint of a line segment is given as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

If M is the midpoint of segment AB, then the following statements are true.

- AB = 2MB

Since M is the midpoint of AB, MB is half the length of AB.

Therefore,

AB is twice as long as MB.

- AM = MB

Since M is the midpoint of AB, AM, and MB are equal in length.

This is a property of the midpoint of a segment.

Now,

Segment AM is congruent to segment MB.

Since AM and MB are equal in length (as stated in statement 2), they are congruent to each other.

Therefore,

Segment AM is congruent to segment MB with AM = MB statement being true.

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Answer:

A football team loses 5 yards on one play and then loses 8 yards on

the next play.  How many yards did they lose on the two plays?

How do we represent a loss of 5 yards?

How do we represent a loss of 8 yards?

Step-by-step explanation:

Answer:

Step-by-step explanation:

When Steve woke up. His temperature was 102º F. Two hours later it

was 3º lower. What was his temperature then?

Answer:

The equation is C = 65h

Answer:

119.2

Step-by-step explanation:

Given the following :

Mean (m) = 100 years

Standard deviation (sd) = 15 years

closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the

distribution?

Obtain the Zscore for 90th percentile (0.90) on the z table = 1.28

Zscore = (X - mean) / standard deviation

1.28 = (X - 100) / 15

1.28 × 15 = X - 100

19.2 = X - 100

19.2 + 100 = X

X = 119.2

Using the normal distribution, it is found that an age of 119 years is closest to the 90th percentile.

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

Normal Probability Distribution

The z-score formula is used, which, in a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], is given by:  

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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

Thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 100}{15}[/tex]

[tex]X - 100 = 15(1.28)[/tex]

[tex]X = 119.2[/tex]

An age of 119 years is closest to the 90th percentile.

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Answer:

- 8

Step-by-step explanation:

Step 1:

24 - x = 32

Step 2:

- x = 32 - 24

Step 3:

- x = 8

Answer:

x = - 8

Hope This Helps :)

Answer:

2.48 × 10 -6

Step-by-step explanation:

i don't know how to put it, but the negative next to the 6 is small, and high up, and so is the 6

Answer:

reflexive

Step-by-step explanation:

memorize it as the equal sign is a mirror that reflects so its the same!

Answer:

Step-by-step explanation:

Multiplying

(2 + 3i)(2 - 3i)

4 - 6i + 6i - 9i^2

4 - 12i + 9

13 - 12i

Add/subtract

2 - 3i + 2 + 3i = 2

2 - 3i - (2 + 3i) = 2 - 3i - 2 - 3i = -6i

Answer:

let M(-3,-4) be (x1, Y1)

    T(5,0) be (x2,y2)

m:n = 2 : 3

using section formula

Q(x,y) =  {mx2 + nx1/(m+n), my2 + ny1/(m+n)}

        { ( 10 -9)/5, (0 -12)/5}

         (1/5, -12/5)

This could be answer if internally

Answer: A number is a perfect square only if it has a odd number

Step-by-step explanation:

As an example of the use of the prime factorization of an integer, we have the following result. Theorem. If n > 1 is a positive integer, then n is a perfect square if and only if n has an odd number of divisiors.

Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square that will be correct.

The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.

In another word, reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.

Given the first statement

20 is multiple of 3

Since 20/3 given remainder of 3 so it is not multiple.

So the first statement is wrong.

So if the question is saying this it means the question will consider all correct statements as wrong.

Now,

101 is a perfect square is wrong but the question will consider it correct.

Hence "Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square".

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Steven's cards = x

Nathaniel's cards = 2x

Marcus' cards = 2x - 4

Kurt's cards = 2x - 5

Since the sum of the cards is equal to 47, let's set all the cards equal to 47

x + 2x + 2x - 4 + 2x - 5 = 47

Combine like terms.

7x - 9 = 47

Add 9 to both sides

7x = 56

Divide both sides by 7

x = 8

Let's plug 8 into x for Kurt's cards.

Kurt's cards = 2x - 5 = 2(8) - 5 = 16 - 5 = 11 cards.

Answer: t = 1

Step-by-step explanation:

The solution to the equation t + 25 = 26 is t = 1.

The given equation is,

t + 25 = 26

To solve this equation,

Isolate the variable t,

Which means we need to get rid of the 25 on the left side of the equation.

To do that, Subtract 25 from both sides of the equation,

since what we do to one side, we must do to the other to keep the equation balanced.

So,

t + 25 - 25 = 26 - 25.

Simplifying this, we have t = 1.

Therefore, the solution to the equation t + 25 = 26 is t = 1.

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Answer:

Step-by-step explanation:

First lest us calculate the area of the rectangle

given that

length= 50ft

width= 40 ft

Area = length *width

Area=  50*40

Areaa= 2000 ft^2

given that 3/10 of the lawn is yet to be mowed

(3/10)*2000

0.3*2000= 600ft^2

Therefore the area that has been mowed is 2000-600= 1400 ft^2

1400 ft^2

since the direction of the mower is along the lenght of the lawn

area= lenght*width

1400= 50*width

width= 1400/50

width= 28 ft

Answer:

26.67% Of Americans earn college degrees.

Step-by-step explanation:

[tex]\frac{2}{3} *40 = 26.67[/tex]

Answer:

19

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = 4 , thus

a₅ = 3 + (4 × 4) = 3 + 16 = 19

The given graph has two absolute minima as no points are below them and one relative maximum as there is a change in direction from increasing to decreasing at that point. Hence, Option A. True is the right choice.

The absolute maxima and absolute minima are the points on the graph where the graph shows the highest and the lowest values respectively.

The relative maximum is the point on the graph where the graph changes its direction from an increasing function to a decreasing function.

The relative minimum is the point on the graph where the graph changes its direction from a decreasing function to an increasing function.

In the question, we are asked whether the given statement:

The function whose graph is shown below has the following characteristics.

• Two absolute minima

• One relative maximum,

is true or not.

In the given graph, we can observe that it was first a decreasing function, until a certain point, then it starts increasing until a certain point, then again decreased until a certain point, and after that went on increasing.

Hence it shows 3 points of inflections.

The first point is an absolute minimum point as the graph never goes below it.

The second point is a relative maximum as there is only a change in direction at that point, and there are points higher than that point.

The third point is an absolute minimum point as the graph never goes below it.

Therefore, we can say that the graph has:

Hence, the given statement is A. True.

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Answer:

false

Step-by-step explanation:

apie