On a map, the North Carolina cities of Raleigh, Durham, and Chapel Hill form a triangle, as shown below. What are the approximate values of the missing measures on the map?

Answer:

F. m/1.05=0.7/1.4

Step-by-step explanation:

The first expression is not true as the side  labelled m in figure I corresponds to the side labelled 1.05 in figure II the side labelled but as for the the other set in the comparison i.e 0.7/1.4 it should start with the side that from figure I in the order in which they appear in the first ratio. The sides in the other ratios in the options correspond to each other and appear int the order in which the first ratio in each set appears

Answer:

c) 6(5m2+2m+3)

Step-by-step explanation:

Given expression = 30m2 + 12m + 18

The simplified form can be calculated by taking GCF

The GCF of 30m2, 12m and 18 is = 6

Therefore, the expression becomes

(6*5m2 + 6*2m + 6*3)

=> 6(5m2+2m+3) so option c is correct

Answer:

A

Step-by-step explanation:

B C were already used in the graph

The answer is A) Trapezium NOLM. If you reflect RSTU over the X axis it produces the trapezium in the top left. Then flipping it over the Z axis is bottom right, NOLM.

Answer:

Step-by-step explanation:

(4/3)*[tex]\pi[/tex]*r^3

V = 113,04

Best regards

Answer:

You only can to sum expressions with the same exponent, so:

Step-by-step explanation:

(4x^5+3x^3-x-6)+(3x^3-9x-4)

Best regards

Answer:

4x^5+6x^3-10x-10

Step-by-step explanation:

you get rid of the parenthesis and combine like terms

1.00 would be your answer because 95 rounded up is 100. So, 0.95 is closest to 1.00

Answer:

20

Step-by-step explanation:

look at picture and you can add all the numbers becuase i counted the sides

Answer:

(0,-1)

Step-by-step explanation:

The solution to the system of linear equation is (0, -1)

To solve for the system of linear equations, we can use substitution method;

y = -2x - 1 ...eq(i)

y = -x - 1 ...eq(ii)

Equate both equations

-x - 1 = -2x - 1

-x = -2x

This shows it can not be solved by any other means except graphically.

To solve this equation graphically, we can plug in the equations and then find the point of intersection;

Kindly find the attached graph below

The solution to the system of equation is (0,-1)

Learn more on system of linear equations here;

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Answer:

Length is your answer

Answer: The answer is COLOR

Step-by-step explanation:

Extensive means covering or affecting a large area and all other options are numerical values expect color. :)

Answer:

Step-by-step explanation:

Yes the math is correct. But the A part asks for the interest. The interest is 795.96 and that is what her account is worth. She thinks the interest is 3795.96, but it's not. She's added the bare principle in a second time.

Account amount = 3795.96

Interest = 795.96

Answer:

the answer is 90 degrees

Step-by-step explanation:

angle PT=18

180-39-23-28=90

Answer:

Step-by-step explanation:

90

Answer:80 %

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

4 divided by 5 is 0.8. 0.8 is 80%.

Total students in the class who got the quiz = 28

The average of the class average was = 82.5

Five students that were absent made up the quiz after school and their scores were a 78, 89,92,99, & 63.

The formula for an average= (sum of values) / (count of values)

As the average is given as 82.5 and there were 28 students, so sum of the 28 values will be = [tex]28\times82.5=2310[/tex]

Total students of the class = 28+5(absent) = 33

For 33 students the total score was = 2310 +(78+89+92+99+63)

= 2731

So, average for 33 students will be = [tex]\frac{2731}{33} =82.757[/tex] or 82.76

So, the new class average is 82.76

I think it's c. No solution

The solution for the given system of linear equations is (1, -2), which is not provided in the options given. A possible typo may exist in the options.

This question is asking for the solution to a system of linear equations. The equations were given as 4y − 36 = −12x and 3x + y = −9. To solve this system, we can use the method of substitution or elimination. First, let's rewrite the first equation in terms of x. Dividing each side of 4y - 36 = -12x by -12, we get x = -y/3 + 3. We can then substitute (-y/3 + 3) for x into the second equation, yielding 3(-y/3 + 3) + y = -9. Solving Yields y = -2 and substituting y = -2 into x = -y/3 + 3 gives x = 1. So, the solution to this system is x = 1, y = -2. So the correct answer is (1, -2), which was not provided in the options. It seems there might be a typo in the options provided.

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There are 2 triangles.

Area of a triangle is 1/2 x base x height = 1/2 x 4 x 3 = 6 square units each.

6 x 2 = 12 square units.

There is 1 rectangle 3 x 10 = 30 square units.

There is 1 rectangle 5 x 10 = 50 square units.

5 is the hypotenuse of the triangle found by using the Pythagorean theorem.

There is 1 rectangle 4 x 10 = 40 square units.

Total surface area = 12 + 30 + 50 + 40 = 132 square units.

Answer: -10c-20

Step-by-step explanation:

Equation: -8c - 17 - 2c - 3

First, you factor -8c+17+ -2c+ -3

Then, combine like terms: (-8c+ -2c)+(-17+ -3)

Answer: -10c - 20

The correct answer would be a, because the left side of the graph indicates that the y axis represents how many customers and since it says 7.pm in the question, it would be choice A

Step-by-step explanation:

This is a simple angle problem, and what we need to do is subtract 73-44. This is because if we subtract the angles we already have, we will get the angle that we are trying to solve. The answer would be 29.

Answer:

[tex]5\ years[/tex]  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

[tex]D=P(1-r)^{t}[/tex]  

where  

D is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

t  is Number of Time Periods  

in this problem we have  

[tex]P=\$12,000\\r=9\%=0.09\\D=\$7,500[/tex]

substitute in the formula above and solve for t

[tex]\$7,500=\$12,000(1-0.09)^{t}[/tex]  

[tex](7,500/12,000)=(0.91)^{t}[/tex]  

Apply log both sides

[tex]log(7,500/12,000)=t*log(0.91)[/tex]  

[tex]t=log(7,500/12,000)/log(0.91)=5\ years[/tex]  

Answer:

[tex]\large\boxed{V=366.16\pi\ ft^3}[/tex]

Step-by-step explanation:

[tex]\text{The formula of a volume of a sphere:}\\\\V=\dfrac{4}{3}\pi R^3\\\\\text{We have}\ R=6.5\ ft.\ \text{Substitute:}\\\\V=\dfrac{4}{3}\pi(6.5)^3=\dfrac{4}{3}\pi(274.625)=\dfrac{1098.5}{3}\pi\approx366.16\pi\ ft^3[/tex]

Answer:

5) a) complementary

6) b) supplementary

7) c) vertical angles

Step-by-step explanation:

5)

The sum of the complementary angles = 90 degrees

According to the graph, both angles add up to 90 degrees

Answer: a) complementary

6)

Straight angle is equal 180 degrees

The sum of the supplementary angles = 180 degrees

Answer: b) supplementary

7)

Vertical Angles are the angles opposite each other when two lines cross. The vertical angles are congruent.

Answer: c) vertical angles

Answer:

5. a) complementary; 6. b) supplementary; 7. c) vertical angles

Step-by-step explanation:

Question 5

The sum of the two angles is 90°.

The angles are complementary.

Question 6

x° + 62° = 180°

The angles are supplementary angles.

Question 7

The angles are opposite each other where the two lines cross.

∴ They are vertical angles.

Note: "Vertical" in this context doesn't mean "up-and-down." It means the angles share the same vertex (corner point).

Among the given options, statement D, which says 'For every man who likes running, 7 men like playing golf,' is the correct statement based on the numbers provided.

In order to determine which statement is correct, we would need to relate the numbers given in the question. So let's take a look.

With this comparison, we can conclude that the correct statement is D. For every man who likes running, 7 men like playing golf.

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The correct statement is option B: for every woman who likes running, 3 women like playing golf.

In order to determine which statement is correct, we would need to relate the numbers given in the question. To determine which statement is correct, we need to compare the ratio of women who like running to women who like playing golf.

There are 18 women who like running and 6 women who like playing golf.

Therefore, the correct statement is option B, which states that for every woman who likes running, 3 women like playing golf.

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Answer:

The overall CGPA would be 2.90 so it is not possible for hum to secure a CGPA of 3 for graduation.

Step-by-step explanation:

Given,

CGPA = 2.75

Credit hours = 105

Last semester GPA = 4

Last semester credit hours = 15

CGPA = [tex]\frac{sum of (Credit hours of each subject * GPA of each subject)}{Total credit hours}[/tex]credit hours * gpa

in our case, it would be:

CGPA = [tex]\frac{(2.75*105)+(4*15}{105+15}[/tex]

=> [tex]\frac{(288.75)+(60)}{120}[/tex]

=> [tex]\frac{348.75}{120}[/tex]

=> 2.90

The overall CGPA would be 2.90 so it is not possible for hum to secure a CGPA of 3 for graduation.

Answer:

[tex]\large\boxed{Area:\ 69\ ft^2}\\\\\boxed{Perimeter:\ 58\ ft}[/tex]

Step-by-step explanation:

Look at the picture.

The perimeter:

[tex]P=3+17+12+2+9+15=58\ ft[/tex]

We have two rectangles 12 ft × 2 ft and 15 ft × 3 ft.

Calculate the areas of the rectangles:

[tex]A_1=(12)(2)=24\ ft^2\\\\A_2=(15)(3)=45\ ft^2[/tex]

The area of the figure:

[tex]A=A_1+A_2\\\\A=24+45=69\ ft^2[/tex]

3x/5y = 60% 2x/4y=50%

I think the answer is 1620 inches.

Because 36 times 45 is 1620

Answer:

q =16

Step-by-step explanation:

q - 7 = 27/3

q = 9 + 7

q = 16

Best regards

Answer:

[tex]\large\boxed{(3x-8)+(2x+5)-(4x-8)=x+5}[/tex]

Step-by-step explanation:

[tex](3x-8)+(2x+5)-(4x-8)\\\\=3x-8+2x+5-4x-(-8)\\\\=3x-8+2x+5-4x+8\qquad\text{combine like terms}\\\\=(3x+2x-4x)+(-8+5+8)\\\\=x+5[/tex]

To simplify the expression (3x-8)+(2x+5)-(4x-8), distribute the negative sign, combine like terms, and simplify to x+5.

To simplify the expression (3x-8)+(2x+5)-(4x-8), we need to combine like terms. Start by distributing the negative sign in front of the parentheses that contain (4x-8):

(3x-8)+(2x+5)-4x+8

Now, combine the like terms:

3x+2x-4x-8+5+8

Combine similar terms:

1x+5

So, the simplified expression is x+5.

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0.0006=6x10^-4

Since the exponent is negative, the number will get smaller. A negative exponent shows that the decimal point is shifted that number of places to the left. The exponent is -4, so the decimal place will move 4 places to the left.

Answer:

0.0006

Step-by-step explanation:

A number in scientific notation if it has the form a × 10ⁿ.

A negative exponent indicates

6 × 10⁻⁴ tells you that the decimal number is 6. with the decimal point moved four places to the left.

Thus, 6 × 10⁻⁴ becomes 0.0006