You can jog around your block twice and the park once in 10 minutes. You can jog around your block twice and the park 3 times in 22 minutes.

a. Write a system of linear equations that represents this situation.

Let x represent the number of minutes it takes you to jog around your block and y represent the number of minutes it takes you to jog around the park.

What is the system of equations?

The measure of angle XYA is 26 degrees if the YX is a tangent to circle O at point X.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

YX is a tangent to circle O at point X.

Arc XB = 52 dergees

Arc XA = 104 degrees

By the theorem of secant:

m∠XYA  =  1/2(m∠arc XA - m∠arc XB)

= 1/2(104 - 52)

= 26 degrees

Thus, the measure of angle XYA is 26 degrees if the YX is a tangent to circle O at point X.

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Answer:

(x + 3)(x + 4)

Step-by-step explanation:

To factor the trinomial

Consider the factors of the constant term ( + 12) which sum to give the coefficient of the x- term ( + 7)

The factors are + 3 and + 4, since

3 × 4 = 12 and 3 + 4 = 7, hence

x² + 7x + 12 = (x + 3)(x + 4)

Thus length can be x + 3 or x + 4 and

the width can be x + 4 or x + 3

Answer:

X 2 + 84 / 7 by 12

Step-by-step explanation:

Answer:

Graph C

Step-by-step explanation:

y + 2 = 3x - 3

y = 3x - 5

Graph C touches (0,-5) and no other graphs do.

Answer:

csc(3π/4) = √2

Step-by-step explanation:

∵ csc(3π/4) = 1 ÷ sin(3π/4)

∵ ∠(3π/4) lies on the second quadrant

∴ sin(3π/4) is positive value (according to ASTC Rule)

* ASTC Rule ⇒ (All +ve in 1st quadrant , Sin +ve in 2nd , Tan +ve

                         in 3rd quadrant , Cos +ve in 4th quadrant)

∴ sin(3π/4) = sin(π - α) ⇒ where α is an acute angle

∴ 3π/4 = π - α ⇒ α = π - 3π/4 = π/4

∵ sin²x + cos²x = 1

∵ sin(π/4) = cos(π/4)

∴ 2sin²(π/4) = 1 ⇒ sin²(π/4) = 1/2 ⇒ sin(π/4) = √(1/2)

∴ sin (π/4) = 1/√2  

∴ sin(3π/4) = 1/√2

∴ csc(3π/4) = 1 ÷ 1/√2 = 1 × √2/1 = √2

Answer:

[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the trigonometric identity

• csc x = [tex]\frac{1}{sinx}[/tex]

sin( [tex]\frac{3\pi }{4}[/tex]) = sin ([tex]\frac{\pi }{4}[/tex]) = [tex]\frac{1}{\sqrt{2} }[/tex], hence

csc ([tex]\frac{3\pi }{4}[/tex]) = [tex]\frac{1}{\frac{1}{\sqrt{2} } }[/tex] = [tex]\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

In this type of problem it's reasonable to use a calculator for the computation.  Here, 83.31·6.2 = 516.522.  Double check to ensure that you've copied all of the possible answer choices correctly.

The value of the expression is 516.522, which corresponds to option B.

To solve the expression 83.31 * 6.2, we need to multiply the two numbers. Here is the step-by-step calculation:

Multiply 83.31 by 6.2 without considering the decimal places: 8331 * 62 = 516,522.

Count the total number of decimal places in the factors. In this case, 83.31 has two decimal places, and 6.2 has one, so there are three decimal places in total.

Place the decimal point in the result (516,522) to reflect the combined number of decimal places from the factors: 516.522.

Therefore, the value of the expression 83.31 x 6.2 is 516.522, which corresponds to option B.

Answer:

No solutions

Step-by-step explanation:

results 0=-7 which is not true

There are no solutions because the two lines are parallel and have different y-intercepts, so they will never intersect each other.

Answer:

Step-by-step explanation:

Answer:b

Answer:

He spent 35 minutes swimming each day.

Step-by-step explanation:

10x5=50

The multiply by 5 is the numbers of days.

225-50=175

(The 50 minutes subtracted is the time Devon walked)

175 divided by 5 = 35

He spent 35 minutes swimming

Confirm/Check    

35 times 5 =175

( Again, The multiply by 5 is the 5 days.)

175+50= 225

Therefore, He swam 35 minutes each day and walked 10 minutes each day.

He swam 175 minutes in total and walked 50 minutes in total

Hoped This Helped!

The number of minutes Devon swam each day is

The word problems must be thoroughly read and understood. Then we can use the given data to make the equations.

He exercised for a total of 225 minutes in the last week.

It is also given that he exercised the amount each day for 5 days.

Therefore, the total number of minutes of exercise per day = 225/5

= 45 minutes.

It is given that he spends 10 minutes everyday walking.

Therefore the total number of time Devon spend swimming = 45 - 10

= 35 minutes

Therefore, we have found that the number of minutes Devon swam each day is 35 minutes.

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Answer:

88.5

Step-by-step explanation:

Answer:

6. decrease / 19.68 ,5. increase / 4.4

Step-by-step explanation:

Answer:

Mark the triangle the same on the bottom, that leaves the rectangle, both ends of the rectangle is 2.5 in. for the rest, just use a ruler.

Step-by-step explanation:

Answer:

1. The number of TVs sold varied more at Store A than Store B.

Step-by-step explanation:

Explanation of the reasonable conclusion based on the given data about TV sales at Store A and Store B.

Given data:

To determine which conclusion is reasonable:

Analysis: Store A sold more TVs than Store B. Hence, the conclusion that the number of TVs sold was 5 more at Store A than at Store B is reasonable.

Answer:

ok

Step-by-step explanation:

The value of x, given the equation, can be found to be (5y - 35) / 6.

To find the value of x in the equation 6x = 5y - 35, you need to isolate x.

Start with the equation:

6 x = 5 y - 35

To isolate x, divide both sides of the equation by 6:

( 6 x ) / 6 = ( 5 y - 35 ) / 6

Simplify both sides:

x = ( 5 y - 35 ) / 6

So, the value of x is ( 5 y - 35 ) / 6.

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Answer: minimum, first quartile, median, third quartile, and maximum.

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

On the very left side , the point on the left of the whisker is the lower extreme

The left hand side of the box is the lower quartile

The middle of the box is the median

The right hand side of the box is the upper quartile

On the very right side , the point on the right of the whisker is theupper extreme

Answer:

Step-by-step explanation:

ANSWER IS 76

Answer:

Discriminant = 88

Step-by-step explanation:

The general form of quadratic polynomial is:

P(x) = ax² + bx + c ⇒ a is the coefficient of x² , b is the coefficient

of x and c is the numerical term

∵ The discriminant of P(x) = ax² + bx + c is b² - 4ac

∵ P(x) = 2x² + 4x - 9

∴ a = 2 , b = 4 , c = -9

∴ Discriminant = (4)² - 4(2)(-9) = 16 + 72 = 88

Answer:

The discriminant of given polynomial is 88.

Step-by-step explanation:

We have given a polynomial.

2x²+4x-9

We have to find the discriminant of given polynomial.

From polynomial, a  = 2 , b = 4 and c = -9

The formula to find discriminant is

b²-4ac

Putting values in above formula, we have

(4)²-4(2)(-9)

16+72

88

The discriminant of given polynomial is 88.

AB and DC are parallel to each other and both are perpendicular to AD. So the quadrilateral is a right angled trapezoid. Hope this helps! :)

Final answer:

The given quadrilateral cannot be classified into a specific type.

Explanation:

The given quadrilateral has vertices with coordinates (-3,1), (0,3), (5,2), and (-1,-2). To determine the type of quadrilateral, we can find the slopes of the opposite sides. If the slopes are equal, the quadrilateral is a parallelogram. If the slopes are perpendicular, the quadrilateral is a rectangle. If both conditions are satisfied (equal slopes and perpendicular slopes), then the quadrilateral is a square.

Using the formula for slope between two points, we find:

Slope of the first side: (-3,1) to (0,3) -> m1 = (3 - 1) / (0 - (-3)) = 2/3

Slope of the second side: (-1,-2) to (-3,1) -> m2 = (1 - (-2)) / (-3 - (-1)) = 3/2

Slope of the third side: (-3,1) to (5,2) -> m3 = (2 - 1) / (5 - (-3)) = 1/8

Slope of the fourth side: (0,3) to (5,2) -> m4 = (2 - 3) / (5 - 0) = -1/5

Since the slopes of opposite sides are neither equal nor perpendicular, the given quadrilateral is neither a parallelogram, rectangle, nor a square. Therefore, the type of quadrilateral cannot be determined.

Answer:

46.67 cubic feet

Step-by-step explanation:

The formula for volume of a pyramid is

V = (1/3)Bh      where B is the area of the base, and h is the height.

We are givne B = 35 and h = 4.  Plug those values in and simplify...

V = (1/3)(35)(4)

  V = (1/3)(140)

       V = 140/3

             V = 46 2/3 cubic feet, which is 46.666667, or 46.67 rounded to the nearest hundredth

Answer:

46.67 cubic feet

Step-by-step explanation:

3.07 feet is your answer :)

Answer:

The radius is 4.5 ft

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

121.5 pi = 4/3 pi r^3

Divide each side by pi

121.5 = 4/3 r^3

Multiply each side by 3/4

121.5 *3/4 = r^3

91.125 = r^3

Take the cube root on each side

(91.125) ^(1/3)= (r^3)^(1/3)

4.5 = r

The radius is 4.5 ft

Answer:

The diameter is 3600

Step-by-step explanation:

The diameter would be 3600 because in order to find circumference you multiply the diameter times pi which is 3.14, so in order for you to find diameter using circumference, you divide the circumference by 3.14 which then gives you your diameter.

Answer:

Step-by-step explanation:

Hello, this is simple:

You must to divide (71.8 hours)/(3.7 hours)  so the result is 19.4 days

Best regards

Answer:

-16 g

Step-by-step explanation:

5(-8g) + 4(6g)

-40 g  + 24 g   they are like terms so they can be added together.

-16 g

Answer:

[tex]\boxed{\bold{-16g}}[/tex]

Step By Step Explanation:

RemoveParenthesis: (a) = a

[tex]\bold{-5\cdot \:8g+4\cdot \:6g}[/tex]

Multiply: [tex]\bold{5\cdot \:8=40}[/tex]

[tex]\bold{-40g+4\cdot \:6g}[/tex]

Multiply: [tex]\bold{4\cdot \:6=24}[/tex]

[tex]\bold{-40g+24g}[/tex]

Combine Similar Elements: [tex]\bold{-40g+24g=-16g}[/tex]

[tex]\bold{-16g}[/tex]

➤ [tex]\boxed{\bold{Mordancy}}[/tex]

Depending on what subject the question is in.

Answer:

There are usually more people answering questions in easy subjects for points.

Step-by-step explanation:

Yeppers.

Answer:

Use the distributive property to solve this equation: a(-b - c) = -ab - ac

Step-by-step explanation:

1. 0.5(-12p - 4) =

-6p - 2 is the answer.

Hope this helped!!!!

~Shane

Final answer:

The expression 0.5(-12p - 4) simplifies to -6p - 2 by distributing the 0.5 across each term inside the parentheses, resulting in the multiplication of -12p by 0.5 to get -6p, and -4 by 0.5 to get -2.

Explanation:

The expression 0.5(-12p - 4) can be simplified by distributing the 0.5 across the terms inside the parentheses. This is done by multiplying 0.5 by each term in the parentheses individually. The steps are as follows:

Multiply 0.5 by -12p, which gives us -6p.

Multiply 0.5 by -4, which gives us -2.

Combine these results to get the simplified expression, which is -6p - 2.

Therefore, 0.5(-12p - 4) equals -6p - 2.

step 4: x^2+4=10 |work square x and 2|

step 5: x^2=6 |work subtract 4 from both sides|

step 6: X = 2.44 |work find the root of 6|

Answer with step-by-step explanation:

The first three steps of completing the square to solve the quadratic equation [tex]x^2+4x-6=0[/tex] are given in the question which include:

Step 1: [tex]x^2+4x=6[/tex]

Step 2: [tex]x^2+4x+4=6+4[/tex]

Step 3: [tex](x+2)^2=10[/tex]

So the next three steps will be:

Step 4: [tex] \sqrt { ( x + 2 ) ^2 } = \sqrt { 10 } [/tex]

(taking square root on both sides of [tex](x+2)^2=10[/tex] to get [tex]x+2 = +-\sqrt{10}[/tex])

Step 5: solve for x([tex]x+2=3.16[/tex] , ([tex]x+2=-3.16[/tex]

(solve for x)

Step 6: [tex]x=1.06[/tex] or [tex]x=-5.16[/tex]

(evaluate)

Answer:

D) 5

Step-by-step explanation:

3(5+2)+5=2*5+16

26=26

Best regards

Answer:

#1) D frequency data that can be plotted on a number line ; #2) A Sarah read twice as many chapters Wednesday as Monday, C Sarah read more than four chapters on two days, F Sarah read at least three chapters on four days, and H The total number of chapters Sarah read on the weekend was the same as the total number she read on the weekdays.

Step-by-step explanation:

#1) A line plot shows the frequencies of data.  It is displayed over a number line; this makes the best choice for the answer "frequency data that can be plotted on a number line."

#2) We can see that Sarah read 2 chapters on Wednesday and 1 chapter on Monday.  This is twice as many chapters.

She read more than 4 chapters on both Saturday and Sunday.

She read 3 or more chapters on Tuesday, Friday, Saturday and Sunday.

The total number of chapters she read on the weekend was 5+6 = 11.  The total number of chapters she read on the weekdays was 1+3+2+2+3 = 11.  These are the same.

Answer:

To answer the question for the graph and all that apply.

1,3,6,8 or I could say  A,C,F,H

both ways are correct on ed

Step-by-step explanation:

See the attachment :)

Answer:

the answer is 1.5 or 1 1/2 or 3/2 they all equivalent

The answer is 1.5

You will take

=(5– -4) /(2- -4)

=9/6

=1.5