Use what you know about the properties of operations to rewrite the expression.

3(5-2)=

Given the area, the lengths of the diagonals p and q of the rhombus are 4√7 cm and 12√7 cm respectively.

A rhombus which is called an equilateral quadrilateral is simply a quadrilateral whose all four sides have the same length.

The area of a rhombus is expressed as;

A = ( p × q )/2

Where p and q are the diagonals

Given the data in the question;

Let one of the diagonal be x.

Plug in the given values into the equation above and solve for x.

A = ( p × q )/2

168 = ( x × 3x )/2

168 = ( 3x² )/2

3x² = 168 × 2

3x² = 336

Divide both sides by 3

x² = 112

Take the square root of both sides

x = ±√112

x = ±4√7

Since the dimension of the rhombus cannot be negative,

x = 4√7

Hence, the length of the diagonals are;

Diagonal p = x = 4√7 cm

Diagonal q = 3x = 3( 4√7 ) = 12√7 cm

Given the area, the lengths of the diagonals p and q of the rhombus are 4√7 cm and 12√7 cm respectively.

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It is False that the imaginary line which passes through the north and south poles, upon which the earth rotates once every 24 hours is called the prime meridian. .

In a geographic coordinate system, a prime meridian is any line of longitude when longitude is defined to be 0°. A great circle is formed by a prime meridian and its anti-meridian (the 180th meridian in a 360° system).

A spheroid, like the Earth, is divided into two hemispheres by this vast circle: the Eastern Hemisphere and the Western Hemisphere (for an east-west notational system).

Different conventions have been used or supported for Earth's prime meridian throughout history in various places. The IERS Reference Meridian is the current international prime meridian for the Earth. It is developed from the former Greenwich Meridian, however it is somewhat different.

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Answer:

#1

[tex]{ \tt{119 \degree + 34 \degree + b = 180 \degree}} \\ { \tt{b = (180 - 34 - 119) \degree}} \\ { \tt{b = 27 \degree}}[/tex]

#2

[tex]{ \tt{ \red{❗ \: image \: not \: clear}}}[/tex]

Answer:

f ◦ g is the composition function that has f composed with g. ... Find (f ◦ g)(x) for f and g below. f(x)=3x + 4. (6) g(x) = x2 +. 1 x. (7).

Step-by-step explanation:

For this question, the inequality is 4.9+4.1+6.4.+x < 18.7 and the solution is x < 3.3 ft.

The perimeter of a geometric figure is the sum of its sides. Thus, for a square, for example, the perimeter is S1+S2+S3+S4, where S represents the dimension of each side.

In this question the sides are: 4.9, 4.1, 6.4 and x. The exercise also informs that the perimeter is less than 18.7 ft.

Thus, you can write

4.9+4.1+6.4.+x < 18.7

x+15.4 < 18.7

x < 18.7 - 15.4

x < 3.3 ft.

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Answer:B

Step-by-step explanation:

Answer: [tex]f^{-1} (x) = -\frac{x^{2} }{3} -18x -243[/tex]

Step-by-step explanation: that would be the inverse function

Answer:

$4.7

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Rewrite as follows and solve for x:

7 = 4 - x

Add x to both sides to get positive x

x + 7 = 4  

Subtract 7 from both sides to get x by itself

x = -3

Answer:

-21f - 20

Step-by-step explanation:

Rewriting in the simplest terms,

→ -10(-5f + 7f + 2) - f

→ 50f - 70f - 20 - f

→ -20f - 20 - f

→ -21f - 20

Hence, simplest term is -21f - 20.

The 95% confidence interval for the proportion who believe immigration is a good thing is 0.631< p < 0.689.

Immigration is the term used to describe the international movement of individuals to a country of destination where they do not have nationality or ancestry in order to settle as citizens or permanent residents. The definition of immigration or migration excludes commuters, tourists, and other short-term visitors; seasonal labor immigration is occasionally included, though.

Research indicates that migration has favorable economic impacts for both the sending and receiving countries. The majority of the time, according to research, immigration benefits the native people economically. However, there is some debate over whether low-skilled immigration has a negative impact on low-skilled natives.

Given that,

Point estimate = sample proportion = [tex]\hat p = x / n = 663 /1004=0.660[/tex]

1 - [tex]\hat p[/tex]  = 1-0.660=0.34

Margin of error = E =  [tex]Z\alpha/2 * \sqrt(((\hat p * (1 - \hat p)) / n)[/tex]

                              = [tex]1.96 (\sqrt((0.66*0.34) /1004 )[/tex]

                            E   = 0.029

A 95% confidence interval it is given as ,

[tex]\hat p - E < p < \hat p + E[/tex]

0.66 - 0.029 < p < 0.66+ 0.029

0.631< p < 0.689

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Answer:

ok I will help u don't worry

Answer:

a= 20

b= 70

c= 20

d=70

e=110

Step-by-step explanation:

a + the 70 degree angle have to equal 90 degrees (the right angle marking) and the same with b + a. So to ind a, you do 90-70 and to find b, because you now have the value of a, you do 90-20.

a+b+c+70 is equal to a 180 degree angle, so since you know the value of a and b, now you can figure out c by doing 180-(70+20+70).

d and the 70 degree angle are vertical angles so they are equal to each other.

lastly for e, d+e is equal to 180 degrees so since you know the value of d, you just do 180-70 to find e.

Answer:

a = 20°

b = 70°

c = 20°

d = 70°

e = 110°

Step-by-step explanation:

Angle A is complementary with 70°, so they add together to = 90° (as indicated by the 90° mark).

90° - 70° = 20°

Angle A = 20°

Angle B is complementary with angle A, 20°, so they also add together to = 90°.

90° - 20 = 70°

Angle B = 70°

Although not indicated by a 90° mark, Angle C and Angle B are complementary since they share a straight line with the complementary angles A and 70°. This means Angles C + B = 90°

90° - 70° = 20°

Angle C = 20°

Angle D is vertical to 70°, so Angle D = 70°

Angle E is supplementary to 70°, so they should combine to = 180°

180° - 70° = 110°

Angle E = 110°

Answer:

2

Step-by-step explanation:

I don't have a lot of info to go off of to properly solve the question, however I think I may be able to help. If you are trying to solve using the Quadratic Formula:

_______________________________________________________

Solve the rational equation by combining expressions and isolating the variable c.

[tex]c=\sqrt{(1+s)(1-s)[/tex]

[tex]c=-\sqrt{(1+s)(1-s)}[/tex]

If this is not what you are looking for, please comment below on what you really need and I'll see what else I can do to help. Thanks!

The geometric term modeled by the given object (knot in a rope) is a point

The given object is a knot in a rope

The knot of a knot in a rope is often represented by a dot

This means that the knot in a rope can be modelled by a line point

Hence, the geometric term modeled by the given object (knot in a rope) is a point

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Answer:

Step-by-step explanation:

Answer:

B) The cost per month of internet service.

Answer:

Step-by-step explanation:

the number is 18, so half of that would be

126 three-digit numbers may be formed using elements from the set {1,2,3,4,5,6,7,8}. if no element may be used more than once in a number and the number must be even

For given question,

We need to find number of three-digit numbers formed using elements from the set {1,2,3,4,5,6,7,8}  if no element may be used more than once in a number and the number must be even.

3-digit even  numbers are to be formed using the given six digits,1 ,2,3,4,6,7, and 8 without repeating the digits.

Then, units digits can be filled in 4 ways by any of the digits, 2,4, 6 or 8.

Since the digits cannot be repeated in the 3-digit numbers and units place is already occupied with a digit (which is even), the hundreds and tens place is to be filled by the remaining 7 digits.

So, the number of ways in which hundreds and tens place can be filled with the remaining 7 digits is the permutation of 7 different digits taken 2 at a time.

[tex]\Rightarrow ~^7P_2=\frac{7!}{(7-2)!} \\\\\Rightarrow ~^7P_2=42[/tex]

Thus, by multiplication principle, the required number of 3-digit numbers is 3 × 42 = 126

Therefore, 126 three-digit numbers may be formed using elements from the set {1,2,3,4,5,6,7,8}. if no element may be used more than once in a number and the number must be even

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Answer: The length of the side is 14 inches

Step-by-step explanation: Using the formula V=(b^2xh):3

Input the numbers we are given: 196=(b^2x3):3 now calculate 196=(14^2x3):3 side b=14 inches

Answer:

Step-by-step explanation:

9/2 = 4 1/2

9/2=4.5

So, we divide 1 by 9/2 to find the answer

1/4.5 = 0.2222222222

Hope this helps! ^^

There are 0.22 groups or 2/9 groups of 9/2 in unity.

A common fraction is a numeral which represents a rational number. That same number can also be represented as a decimal, a percent, or with a negative exponent. Example -

2/5, 5/6, 7/9

We have a fraction and a whole number.

Assume that there are [x] groups of 9/2 each. Then, we can write -

9x/2 = 1

x = 2/9

x = 0.22 (rounded of)

Therefore, there are 0.22 groups or 2/9 groups of 9/2 in unity.

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The equation of the line as it passes through the point (-6, 1) is

y = 3x/2 + 10

Slope is the same as gradient which is the ratio of change in y to change in x. That is,

gradient m = Δy / Δx

Given that the equation of the line passes through the point (-6, 1) and is perpendicular to the graph of 2x + 3y = -5

Let us first find the slope, 3y = -2x - 5

y = -2x/3 - 5/3

Slope m = -2/3

Let us use the formula Mm = -1

M = -1/m

M = -1 × -3 /2

M = 3/2

The equation of the line as it passes through the point (-6, 1) will be

M = (Y - Y1) / (X - X1)

3/2 = (y - 1) / (x + 6)

Cross multiply

2(y - 1) = 3(x + 6)

2y - 2 = 3x + 18

Collect the like time

2y = 3x + 18 + 2

2y = 3x + 20

y = 3x/2 + 10

Therefore, the equation of the line as it passes through the point (-6, 1) is y = 3x/2 + 10

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If the chance of getting a disease is 20 out of 100, This would be the same as having a 20% chance of getting the disease

Define diseases?

A disease is a specific abnormal state that adversely affects an organism's structure or function on the whole or in part, and which is not immediately brought on by any external trauma.  It's common knowledge that diseases are medical illnesses with recognizable indications and symptoms. A disease can be brought on by either internal dysfunctions or external sources like infections.

In humans, the term illness is frequently used to refer to any condition that results in suffering, dysfunction, anguish, social issues, or death for the person who is afflicted, as well as problems similar to these for those who come into touch with the person.

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The total number of coins Kiara put in each envelope are 2.

According to the given question.

Total number of coins Kiara have = 6

Total number of envelopes Kiara have = 3

Since, we have to find the number of coins Kiara put in each envelope. So, for this we will divide total number of coins by total number of envelopes.

Therefore,

The total number of coins Kiara put in each envelope

= 6/3

= 2

Hence, the total number of coins Kiara put in each envelope are 2.

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Each relationship's proportionality constants are k=3 and k=1, respectively.

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality.

Given that the relationship is proportional,

the equation linking the quantities is y = k x k, where k is the proportional constant.

Divide both sides by x to determine k

k = y/x

For graph a use the point (2, 6 ), then

k = 6/2

= 3

For graph b use the point (4, 4 ), then

k = 4/4

= 1

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Answer:

this is the answer of this question

The distance travelled by Charlotte in feet is 354 feet. This is obtained by using the concept of speed and distance on the given problem.

What is speed?

Speed is defined as the distance per unit of time. It is the numerical quantity that specifies how fast an object is moving. The basic unit of speed is given by m / s.

Calculation of the distance travelled by Charlotte in feet

Given:

Speed = 61.4 mi / h

Time = 3.93 s

The basic step to solve this problem is to convert miles per hour to feet per second

(61.4 mi / hr) * (5280 feet / mi) * (1 hr / 3600 sec) = 90.0533 feet / sec

Now, multiply the speed by the number of seconds to find the value of distance in feet

(90.0533 feet / sec) * (3.93 sec) = 353.909 feet.    

Hence, the distance travelled by Charlotte in feet is 354 feet.

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