Kristen lives directly east of the park. The football field is directly south of the park. The library sits on the line formed between Kristen’s home and the football field at the exact point where an altitude to the right triangle formed by her home, the park, and the football field could be drawn. The library is 6 miles from her home. The football field is 7 miles from the library.
a. How far is library from the park?
b. How far is the park from the football field?

Answer:

Asa forgot to floss for 106 days.

Step-by-step explanation:

First of all, we will start by writing out the details we are given clearly.

Length of floss used per day = 18 inches

Original length of floss bought for use = 50 ft = 600 inches

Number of days between March 17th and August 2nd = 138 days

Length of floss left after August 2nd = 2 feet = 24 inches

From this, we can clearly calculate the length of floss used.

This will be original floss length - length of floss remaining = 600 - 24 = 576 inches

Length of floss used = 576 inches

If Asa used 18 inches per day, we can find the number of days he flossed by  dividing the length used in total by the length used per day.

That will be 576/18 = 32 days

if Asa flossed for only 32 days, the number of days he didn't floss is 138 - 32 =106 days

Hence, Asa didn't floss for 106 days.

Answer:

58.99

The simplifying part may be wrong. It's not my strongest thing in math.

Step-by-step explanation:

Well to find angle A you first have to see which trig function to use.

Soh Cah Toa

In this case, you need the opposite / hypotenuse, which is sin.

6 / 7

And then you have to use inverse sin of 6 / 7

It's 58.99728087 which can be simplified to 58.99

The simplifying part may be wrong. It's not my strongest suit.

Answer:

∠A ≈ 59.00

Step-by-step explanation:

In this case, you need to use the inverse of sine (it gives you the opposite and hypotenuse sides): [tex]sin^-1[/tex]

[tex]sin^-1(6/7)[/tex]

≈ 58.997

Round to nearest hundredth:

≈ 59.00

Answer:

The longest side is side of 18 (153.6cm)

The shortest side is side of 6(57.6cm)

Step-by-step explanation:

Kindly check attached picture for explanation

Answer:

x= -1

Step-by-step explanation:

make the equation to equal to zero and then bring 2 to left side of the equal sign. To get rid of (x), you simply divide both sides by 2 and you will get x= -1.

Answer:  3/ 4

Step-by-step explanation:

Answer:

(x -11) * t + 1067

Step-by-step explanation:

We know that in her tutoring job she earns x amount of money and how waitress earns $ 11 / hour.

They give us the combined number of hours that he works with all the jobs, which is 97, but from here we can say that in the time that he does NOT work as a tutor it is actually 97 - t.

Total earned this month = x * t + 11 * (97 -t)

Total earned this month = x * t + 1067 - 11 * t = (x -11) * t + 1067

Answer:

y = 1.5x

Step-by-step explanation:

in the graph you can see that when y=2, x= 3 and this graph is linares (im sorry if its not the right word). so this means for every 3gal of white paint youll need 2 gal of red paint. so 2y=3x: y = 3/2x

Answer:

I can't post a graph, but I will explain how to do it.

Step-by-step explanation:

The y intercept is 3, so we know we can place a point at the coordinates (0,3). The y intercept is the point where your line crosses the y axis.

The slope is -3, which is the same as -3/1. The top number is the y axis, the bottom number of the slope is the x axis. This tells us that for every 1 space we move on the x axis, we move -3 spaces on the y axis. You should therefore have a second point located at (1,0).

You should end up with a line with a point at (0,3) and (1,0) which slopes down from left to right. Hope that helps.

The line of the graph is y=-3x+3

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Slope is -3 and y-intercept is 3.

y=-3x+3

Now we have to plot the graph

x   0      1     2    3     4

y    3     0    -3   -6   -9

Hence, the line of the graph is y=-3x+3

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

Answer:

30th term: 364

nth term: 8(n + 3)

Step-by-step explanation:

Well the 30th term is 8(30 + 3) because you gotta plug it in.

You get 8 * 33 = 264

nth term is what they gave you. 8(n + 3)

Answer:

30th term: 364

nth term: 8(n + 3)

Step-by-step explanation:

Well the 30th term is 8(30 + 3) because you gotta plug it in.

You get 8 * 33 = 264

nth term is what they gave you. 8(n + 3)

Answer:

1

Step-by-step explanation:

Answer:

1. 7/9

2. 7/16

3. 3/7

4. 123/125

Step-by-step explanation:

1. Simplify the following:

2/9 + 5/9

2/9 + 5/9 = (2 + 5)/9:

(2 + 5)/9

2 + 5 = 7:

Answer: 7/9

_________________________

2. Simplify the following:

3/4 - 5/16

Put 3/4 - 5/16 over the common denominator 16. 3/4 - 5/16 = (4×3)/16 - 5/16:

(4×3)/16 - 5/16

4×3 = 12:

12/16 - 5/16

12/16 - 5/16 = (12 - 5)/16:

(12 - 5)/16

12 - 5 = 7:

Answer: 7/16

_____________________________________________

3. Simplify the following:

6/7×1/2

6/7×1/2 = 6/(7×2):

6/(7×2)

6/2 = (2×3)/2 = 3:

Answer: 3/7

__________________________________________________

4. Rewrite the decimal number as a fraction with 1 in the denominator

0.984=0.984/1

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 10^3 = 1000

(0.984/1)×(1000/1000)= 984/1000

Find the Greatest Common Factor (GCF) of 984 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 8,

(984/8) = 123

(1000/8) = 125

Therefore

X=123/125

In conclusion,

Answer: 0.984=123/125

Answer:

idk maybe 4

Step-by-step explanation:

Answer:

$9500

Step-by-step explanation:

A=P(1-r)^t is the general model for decay. A being the end result of 2014, p is the amount beforehand, r is decay as a decimal, t is time. I think t would just be one since it's one year in time?  9500=10,000(1-0.05)^1

Answer:

D. Rhombus

Step-by-step explanation:

Rhombus is the quadrilateral that lhas 2 pairs of angle with equal measures and 4 sides of equal length

Attached picture is the shape of Rhombus

Answer: The correct answer is option D; Rhombus

Step-by-step explanation: Basically, all the four options are quadrilaterals, or a plane shape with four sides. However, not all four-sided plane shapes have the same properties, and hence each of them has its own unique name due to its unique features or properties. A rhombus has four sides that are equal in measurement, but not all its four angles are equal in measurement. Two pairs of angles are equal to each other, and these are the pair of opposite angles. Also, the opposite sides/lines are parallel and congruent to each other.

A rectangle has, two opposite sides parallel and congruent, but unlike a rhombus, not all sides measure the same length. Only two opposite sides have equal measurement. In a rectangle, all four angles are congruent and they all measure 90 degrees each.

A trapezoid has only two sides as being parallel, and the other two sides are not parallel. The two parallel sides are referred to as the bases.

A parallelogram also has two equal sides as being parallel to each other and the two opposite sides are also congruent, just like a rhombus. However, unlike a rhombus, a parallelogram does not necessarily have all sides congruent. The two opposite sides may be equal in measure just like in a rectangle, but the angles are not all equal like in a rectangle.

Therefore, only a rhombus satisfies the conditions outlined in the question namely;

Two pairs of angles with equal measures, and four sides of equal length.

Answer:

B. 2 weeks

Step-by-step explanation:

1st week

Brian will have $40

Sarah will have $30

2nd week

Brian will have $50

Sarah will have $50

Answer:

B. 2

Step-by-step explanation:

10w +30 = 20w +10,

30 - 10 = 20w - 10w,

20 = 10w,

so the answer is,

w = 2

Answer:

b) 2x^2 + 7x + 3

= 2x^2 + 6x + 1x + 3

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

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

Answer:

-16

Step-by-step explanation:

-12-128/2/4^2=

-12-64/4^2=

-12-64/16=

-12-4=

-16

Answer:

-16.

Step-by-step explanation:

Using order of operations (PEMDAS):

-12 - 128 ÷ 2 ÷ 4^2    First do the exponential term

-12 − 128 ÷ 2 ÷ 16   Do the leftmost  division first:

= -12 - 64  ÷ 16       Now the division

= -12 - 4

= -16.

Answer:

f(x)=2x

Step-by-step explanation:

You can get your (a)term by finding rise/run, and there is no y-intercept so the (b)term is not known. Thus you get f(x)=2x.

The equation of the line is [tex]y = 2 x[/tex]

From the graph, we have the following ordered pairs

(0,0) and (5,10)

The equation of the line is calculated using

[tex]y = \frac{y_2 -y_1}{x_2 -x_1} \times (x -x_1) + y_1[/tex]

So, we have:

[tex]y = \frac{10 - 0}{5 - 0} \times (x -0) + 0[/tex]

[tex]y = \frac{10}{5} \times (x -0)[/tex]

[tex]y = 2 \times x[/tex]

Evaluate the product

[tex]y = 2 x[/tex]

Hence, the equation of the line is [tex]y = 2 x[/tex]

Read more about linear equations at:

https://brainly.com/question/1884491

Answer:

$79.4

Step-by-step explanation:

Add up both of the prices.

61.29 + 59.31 = 120.6

Subtract that from the 200.

200 - 120.6 = 79.4

Answer:

 Slope = -1.000/2.000 = -0.500

 x-intercept = -8/1 = -8.00000

 y-intercept = -8/2 = -4

Step-by-step explanation:

Step  1  :

Equation of a Straight Line

Graph of a Straight Line

Calculate the Y-Intercept

Calculate the Slope

Calculate the X-Intercept

Answer: Slope = -1.000/2.000 = -0.500

Hope this helps.

Answer:

slope = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x + 2y = - 8 ( subtract x from both sides )

2y = - x - 8 ( divide all terms by 2 )

y = - [tex]\frac{1}{2}[/tex] x - 4 ← in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Answer:

x=0

Step-by-step explanation:

Anything to the power of 0 = 1

Answer:

His usual speed is 105 km/hr.

Step-by-step explanation:

Let his usually speed be s km/hr and the distance between the towns be d km. So we have the equations:

s =  d/6

s - 15 = d / (6 + 1)

from the first equation:

d = 6s and from the second:

d = 7(s - 15)

Eliminating d we get:

6s = 7(s - 15)

7s -  105 = 6s

s = 105.

Answer:

Step-by-step explanation:

8

Answer:

a. 18.6%

b. 598,230

Step-by-step explanation:

Answer:

20/29

Step-by-step explanation:

SEARCHED IT UP

Answer:

€18.40 or £16.53.

Step-by-step explanation:

Kamil is saving up to buy a model of Big Ben costing £30 when he visits London.

He has saved €15.00.

First, we have to convert his savings to Pounds(£) and then, subtract that from the amount he needs.

€1  = £0.90

€15 = 15 * 0.9 = £13.47

So, Kamil has saved  £13.47.

Therefore, the amount he has left to save is:

£30 -  £13.47 =  £16.53

To find this amount in Euros, we convert it to Euros:

£1 = €1.11

16.53 = 16.53 * 1.11 = €18.40

He has to save €18.40 or £16.53.

Answer:

€18.3 or £16.49

Step-by-step explanation:

Kamil needs to save £30 to buy Big Ben. Current rate of conversion from pound to euro is £1 = €1.11. If the money is converted from pound to euro, you multiply it by 1.11.

Therefore £30 = € (30 * 1.11) = €33.3

If he has saved €15 he needs to save an extra of €(33.3 - 15) = €18.3

He needs to save €18.3

€18.3 to pound using the Current rate of conversion from euro to pound = £(18.3/1.11) = £16.49

Answer & Step-by-step explanation:

First, we know what the formula is for y-intercept slope form.

[tex]y=mx+b[/tex]

Since, we have coordinate points and the slope, then we can use these numbers to find the y-intercept, b.

[tex]7=4(-3)+b[/tex]

[tex]7=-12+b[/tex]

[tex]19=b[/tex]

So, the equation of the line that passes through (-3, 7) with a slope of 4 is..

y = 4x + 19

Answer:

-9

Step-by-step explanation:

-7x+12=75

-12       -12

-7x= 63

divide by -7 on both sides

x = -9