Pre college need help number 3

The area of the lot with a shape of a parallelogram if its base measures 20 meters and the distance given is 160m².

Area of a parallelogram will be:

= Base × Height

= 20 × 8

= 160m²

The area of the triangular landscape that has a base of 24 meters and a height of 12 meters will be:

= 1/2 × base × height

= 1/2 × 24 × 12

= 144m²

The area of the trapezium will be:

= 1/2 × (a + b) × h

= 1/2 × (16 + 30) × 10

= 1/2 × 46 × 10

= 230m²

The area of the rectangular banner has a length of 5 meters and a width of 3 meters will be:

= Length × Width

= 5 × 3

= 15m²

The area of a soccer ground square in shape with a side of 8 meters will be:

= 8 × 8

= 64m²

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In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

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Answer:

hello

Step-by-step explanation:

Answer

Yes, zero is contained in the interval

Answer:

x = 70

Step-by-step explanation:

The Left base angle is also = x. that's because both angles are opposite = lines

x + x + 40 = 180                     All triangles have 180 degrees.

2x + 40 = 180                        Combine left angles. Subtract 40 from left and right sides.

2x+40 - 40 = 180 - 40           Combine

2x = 140                                 Divide by 2

2x/2 = 140/2

x = 70

Answer:

2 squared - 7 + -4

Step-by-step explanation:

Answer:  They need to have the same numerator to be equivalent

Example:

The fractions 1/7 and 2/7 are not equal because \(1 \ne 2\). So simply having the same denominator is not enough to have the fractions be the same overall.

Answer: If the numerators are equivalent.

Step-by-step explanation: If both denominators are the same, for example, 1/4 and 3/4, the fraction with the greater number (in this case, 3/4) is greater. If both fractions have exactly the same numerator and denominator, then they are equivalent.

Linear function f(x) = 2/7x - 2

It has no domain or range restrictions, so both of them include all real numbers.

The graph is attached

Answer:

cup B can hold 21.2  cubic in more than cup A when theyre both full, so the answer is cup B.

Step-by-step explanation:

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

8/17

Step-by-step explanation:

right angle box means that area is the bottom

soh cah toa

hypotenuse is 17

hypotenuse is usually the biggest number

opposite is 8

sin is opposite/ hypotenuse

sin is 8/17

Answer:

the answer is d

Step-by-step explanation:

Answer:

4.5 hours

Step-by-step explanation:

fbdjdbercyTxxivdu

Answer:

Basically You are asking how many hours we need to reach 7:00, if we are at 2:30, so: we need 4hours, to reach 6:30, and and extra 30minutes to reach 7:00pm. The answer is 4hours and 30minutes.

1. The standard equation of the circle is x² + y² = 4. 2. The standard equation of the circle is (x - 3)² + (y - 2)² = 4.

The points in a plane that are equally spaced apart from a fixed point known as the centre make up a circle, which is a two-dimensional geometric object. The radius of a circle is the separation between its centre and any other point on the circle. The circle is one of the most fundamental and significant geometric forms. It is used in many fields of science, mathematics, and engineering, including calculus, coordinate geometry, and trigonometry. The design of wheels, gears, and lenses as well as the simulation of scientific events like the motion of planets and electrons are other common practical uses for circles.

The standard equation of a circle is

(x - h)² + (y - k)² = r²,

where (h,k) is the center of the circle and r is its radius.

1. Center (0, 0) and radius = 2:

(x - 0)² + (y - 0)² = 2²

x² + y² = 4

Therefore, the standard equation of the circle is x² + y² = 4.

2, Center (3, 2) and radius = 2:

(x - 3)² + (y - 2)² = 2²

(x - 3)² + (y - 2)² = 4

Therefore, the standard equation of the circle is (x - 3)² + (y - 2)² = 4.

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It will take Adrian 16 full months to save enough money for the electric keyboard.

- Price of the keyboard (with tax) at Macelli's: $2,400
- Adrian's monthly savings: $150
We need to find how long it will take Adrian to save for the keyboard. To do this, we'll divide the total cost of the keyboard by his monthly savings and round up to the nearest full month.
Step 1: Divide the total cost by monthly savings.
Time (in months) = (Total Cost) / (Monthly Savings) = ($2,400) / ($150)
Step 2: Calculate the result.
Time (in months) = 16
So, it will take Adrian 16 full months to save enough money for the electric keyboard.

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The statements DF=EG, EF=DG and ∠DEG ≅ ∠FGE are true for parallelogram DEFG.

a quadrilateral is a four-sided polygon, having four edges and four corners.

DEFG is a parallelogram.

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

DF=FG is a true statement.

The diagonal passing through a parallelogram are equal in length.

EF=DG is a true statement

The opposite sides of a parallelogram are equal.

∠DEG ≅ ∠FGE are congruent angles.

Because the opposite angles of a triangle are equal in meausure.

Hence, the statements DF=EG, EF=DG and ∠DEG ≅ ∠FGE are true for parallelogram DEFG.

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Answer:

θ =  60 degrees

If needed in radians:

θ = π/3

Step-by-step explanation:

2cos(θ) = 1

We are solving for theta.

We can divide 2 on both sides.

2cos(θ) = 1

/2             /2

cos(θ) = 1/2

Now we can use Inverse of cosine to isolate theta.

θ \(= cos^-^1(1/2)\)

θ =  60 degrees

If needed in radians:

θ = π/3

Answer:

1)    \(\frac{4}{-3}\)

2) \(\frac{3}{2}\)

Step-by-step explanation:

To find the slope, we can use the slope formula:
\(\frac{y2 - y1}{x2 - x1}\)

1. Through (4,-3) and (-2,5):

Slope = \(\frac{5 - (-3)}{-2 - 4}\)

Slope = \(\frac{8}{-6}\)

Simplified to: \(\frac{4}{-3}\)

2. Through (2, -1) and (0, -4)

Slope = \(\frac{-4 - (-1)}{0 - 2}\)

Slope = \(\frac{-3}{-2}\)

Slope = \(\frac{-3}{-2} \cdot \frac{-1}{-1} = \frac{3}{2}\)

Meaning that the slope of 1) is    \(\frac{4}{-3}\) and the slope of 2) is \(\frac{3}{2}\).

Hope this helps!

A is zero

B) D

C) x= - 1 & x= 4

Hope this helps!

Answer:

5 1/2 cm

Step-by-step explanation:

It already gives you all the info needed. Add all of the numbers. AB+DE=3

BC+DC=2 1/2

2 1/2+3 = 5 1/2

Answer:

Step-by-step explanation:

Perimeter =  AB + BC + CD + DE + EA

Perimeter = AB + BC + DE + (AE + DC)

Perimeter = \(1\frac{3}{4}\) +  \(1\frac{3}{10}\) + \(1\frac{1}{4}\) + \(1\frac{1}{5}\)

Perimeter = \(\frac{35}{20} + \frac{26}{20} +\frac{25}{20} +\frac{24}{20} = \frac{110}{20}= \frac{11}{2}\)

Perimeter = 5½ cm

Answer:

9.7%

Step-by-step explanation:

Enrique pays 0.02(4,500)=90 in interest to his uncle.

He pays 0.115(23,500−4,500)=2,185 in interest to the bank.

The total amount of interest he pays is 2,185+90=2,275, which is a rate of

2,27523,500≈0.097

or 9.7%.

Answer: 9.7%

Step-by-step explanation:

Answer:

no he will make it home at 18:15

Step-by-step explanation:

\(4:55+15=5:10\\5:10+10=5:20\\5:20+45=6:15\)

Answer:

Step-by-step explanation:

1.12 * 56 = 62.72

.90 * 24 = 21.60

62.72 + 21.60 = $84.32

Answer:

Wes

Step-by-step explanation:

This represents a positive correlation, meaning that when x increases, so does y. Because of x, y increases meaning that Wes is correct

Answer:

9/49 or 0.184

Answer:

9/49

Step-by-step explanation:

(6/7)² × (1/2)²

Distribute the square to the fractions.

6²/7² × 1²/2²

36/49 × 1/4

Multiply.

36/196

Simplify.

9/49

Answer:

Total number of votes = 5,992

Step-by-step explanation:

Given:

Ratio of Yes and No = 3:5

Total number of yes votes = 2,247

Find:

Total number of votes

Computation:

Total number of votes = Total number of yes votes [(3+5)/3]

Total number of votes = 2,247[(8)/3]

Total number of votes = 5,992

The statement accurately describes the behavior of the given curve, indicating a decline through the specified points (-7, 4.9), (-5, 3), (0, 0), (3, -2), and (6, -4).

The statement "A diagonal curve declines through (-7, 4.9), (-5, 3), (0, 0), (3, -2), and (6, -4)" is true.

Based on the given points, we can observe that the y-coordinate decreases as the x-coordinate increases.

This indicates a downward trend or decline along a diagonal curve.

The given points (-7, 4.9), (-5, 3), (0, 0), (3, -2), and (6, -4) satisfy this pattern.

By connecting these points, we can trace a diagonal curve that exhibits a decline.

The curve passes through each of the given points, following a consistent downward slope.  

This is evident from the y-values decreasing as x-values increase.

The curve's behavior suggests a negative correlation between the x and y variables.

As x increases, y decreases, resulting in a diagonal decline.

The specific shape and equation of the curve cannot be determined without further information or additional points, but the given points clearly demonstrate a downward trend along a diagonal curve.

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Answer:

Multiplication

Step-by-step explanation:

Multiplication should be the first step Reba needs to do to simplify the expression. This is according to PEMDAS, which is an acronym for the order to solve equations

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

Step-by-step explanation: