Jacks tent is shaped like an isosceles triangle. The height of the tent measures 7 feet and the diagonal side measures 9 feet. Find the length of the base

Answer:

Step-by-step explanation:

Given that,

Slope of line is 8

m=8

And we are given two points where the line pass through

(x1,y1) = (9,v). ; x1=9, y1=v

(x2,y2)= (8,2). ; x2=8, y2=2

The slope of a line is given as

m=∆y/∆x

m=(y2-y1)/(x2-x1)

8=(2-v)/(8-9)

8=(2-v)/(-1)

Cross multiply

8×-1=2-v

-8=2-v

Subtract 2 from both sides

-8-2=2-v-2

-10=-v

Divide both sides by -1

-10/-1=-v/-1

Note, -÷-=+

10=v

Then v=10

We can write this as an expression:

[tex]\frac{2-v}{8-9}=8[/tex] → [tex]\frac{2-v}{-1}=8[/tex]

Now, lets solve for v.

[tex]\frac{2-v}{-1}=8[/tex]

~Multiply -1 to both sides

[tex]\frac{2-v}{-1}[/tex] * -1 = 8 * -1

~Simplify

2 - v = -8

~Subtract 2 to both sides

2 - 2 - v = -8 - 2

~Simplify

-v = -10

~Divide -1 to both sides

-v/-1 = -10/-1

~Simplify

v = 10

Best of Luck!

Answer:

Around 16 hours

(16 hours, 2.74 minutes)

Step-by-step explanation:

In 3 hours,

Rachel has managed: 3 ÷ 5/2 = 6/5

In 6 hours,

Jenna has managed: 6 ÷ 9 = ⅔

Till 9 am,

Thomas and Paul have been woking and maneged:

(9 ÷ 7) ÷ (9 ÷ 2) = 81/14

Total works done in first 9 hours:

6/5 + 2/3 + 81/14 = 1607/210

Remaining work:

15 - 1607/210

= 1543/210

Rachel, Paul and Thomas complete this remaining job together in next 't' hours

(t/2.5) + (t/2) + (t/7) = 1543/210

73t/70 = 1543/210

t = 7.0456621 hours

Or 7 hours 2.74 mins

Overall, it will take them around 9+7 = 16 hours to complete the task

They'll be done at 1600

Which is 4 pm

Final answer:

It will take them approximately 22 hours and 21 minutes to build 15 tractors. The tractors will be finished at around 10:21 PM.

Explanation:

To find out how long it will take them to build 15 tractors, we need to first calculate how many tractors each person can build in 1 hour. Jenna can build 1/9 of a tractor in 1 hour, Thomas can build 1/7 of a tractor in 1 hour, Rachel can build 2/5 of a tractor in 1 hour, and Paul can build 1/2 of a tractor in 1 hour.

Adding up the fractions, we get 1/9 + 1/7 + 2/5 + 1/2 = 85/126. Therefore, in 1 hour, all four of them can build 85/126 of a tractor. To build a total of 15 tractors, we need to find how many hours it will take to build 126/85 of a tractor.

Therefore, it will take them (126/85) × 15 = 22.35 hours to build 15 tractors. Since they started building at midnight, it will take them about 22 hours and 21 minutes, so they will finish building the tractors at around 10:21 PM.

The system of linear equations represented on the graph has infinitely many solutions.

To determine the number of solutions for the system of linear equations, we can start by solving the equations. We can solve the first equation for y to get y = x + 2. We can substitute this expression for y into the second equation and then solve for x. By substituting y = x + 2 into -3x + 3y = 6, we get -3x + 3(x + 2) = 6. Simplifying this equation gives us -3x + 3x + 6 = 6, which simplifies further to 6 = 6. This equation is always true, which means there are infinitely many solutions for the system of linear equations. The two equations represent the same line, and any point on this line is a solution to the system.

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Answer:

Below.

Step-by-step explanation:

These reasons will probably be similar to the US conventions but not exactly the same ( I'm using the UK conventions).

1.  Given

2. Given.

3, Opposite sides of a parallelogram.

4. Opposite sides of a parallelogram.

5. This side is common to both triangles.

6.  The triangles are congruent  by 3 equal sides ( I think that is  SSS).

Answer:

Step-by-step explanation:

Given the simultaneous equation

3x+4y=15. Equation 1

3x-y=30. Equation 2

Using elimination method

Sutract equation 2 from 1

Then, will have

3x-3x+4y--y=15-50. -×-=+

4y+y=-15

5y=-15

Divide Both sides by 5

y=-15/5

y=-3

From equation 2

3x-y=30

3x--3=30

3x+3=30

3x=30-3

3x=27

Divide both side by 3

x=27/3

x=9

Then, x=9 and y=-3

Answer:

x=7 y=-9

Step-by-step explanation:

Use a system of equations to solve.

3x-y=30 changes to y=-30+3x

This can then be substituted into the other equation.

3x+4(-30+3x)=15

solve for x

X=7

Now use 7 in the other equation.

y=-30+x(7)

y=-9

Answer: It is already a decimal???

Step-by-step explanation:

Answer:

D) 8sqrt(2)

Step-by-step explanation:

h² = 8² + 8²

h² = 2(8²)

h = 8sqrt(2)

Answer:

Step-by-step explanation:

5-2(x-1)=12

5-2x+2=12

5+2-2x=12

7-2x=12

2x=7-12

2x=-5

x=-5/2

Answer: 0.18

Step-by-step explanation:

Answer:

192 cm^3

Step-by-step explanation:

Volume for rectangular prism is V=l*w*h

V=8*4*6=32*6=192

So volume is 192 cm^3

Option C: x = 5.5 is the value of x

Explanation:

Given that CD, AE, an BF are the medians of the triangle ABC

Also, given that [tex]AM = 4x - 5[/tex] and [tex]ME=x+3[/tex]

We need to determine the value of x.

Since, we know that the centroid divides the median in the ratio 2 : 1

Hence, we have,

[tex]AM=2\times ME[/tex]

Substituting the values, we get,

[tex]4x-5=2(x+3)[/tex]

Simplifying, we get,

[tex]4x-5=2x+6[/tex]

Subtracting both sides of the equation by 2x, we have,

[tex]2x-5=6[/tex]

Adding both sides of the equation by 5, we have,

[tex]2x=11[/tex]

Dividing both sides of the equation by 2, we get,

[tex]x=5.5[/tex]

Therefore, the value of x is 5.5

Hence, Option C is the correct answer.

Answer:

V=3,140in3

Step-by-step explanation:

Answer:

-1

Explanation:

Find components of the definition.

[tex]f(x+h)=-h-x+1\\f(x)=-x+1[/tex]

Plug in components

[tex]\frac{f(x+h)-f(x)}{h} = \frac{-h-x+1-(-x+1)}{h}[/tex]

Simplify.

-1

Answer:

The answer is D

Step-by-step explanation:

Answer: 8, option D is correct

Step-by-step explanation:

In solving this problem, bear in mind that negative and negative gives positive as a mathematical rule, therefore, for this question, - ÷ - will give +

-96 ÷ -12

= 8

I hope this helps.

Answer:

Step-by-step explanation:

1/20

While Game 1 offers a steady 200 points per score, Game 2's point doubling system will eventually surpass Game 1's linear growth, leading to higher earnings in Game 2 over time.

To decide in which game you will earn more points, let's consider the point growth in both games. In Game 1, you receive a constant 200 points every time you score. This represents a linear growth.

However, in Game 2, your points double every time you score, starting from 2 points (2, 4, 8, 16, and so on).

When comparing linear growth to exponential growth, exponential growth will eventually outpace linear growth. Initially, Game 1 will give you more points (as 200 is greater than 2, 4, 8).

However, after a certain number of scores, Game 2 will start to give you more points per score. Once you've doubled a few times, the number of points you earn in Game 2 will surpass the constant 200 points reward of Game 1.

The area quadrupled. If the original square's perimeter is 20, each side length must be 5. The new square has double the perimeter, so it's 40. This means each side of the new square must be 10.

The formula for area in a square is base x height.

Square 1 area: 5x5 = 25

Square 2 area: 10x10 = 100

100/25 is 4, so the original square's area is 4 times smaller than the new square.

Answer:

The brand that is the best buy is D. Cousin Ben's Stuffing Mix 6 oz, because the cost per ounce is the lowest.

Step-by-step explanation:

For answering this question correctly, we need to calculate the cost per ounce to compare the four stuffing mix options available. Therefore,

Cost per ounce = Price/Number of ounces in the package

Proceeding with the calculations, we have:

A. Cook Top Stuffing Mix 6 oz. for $1.49. If we use the coupon the price would be $ 1.39.

Cost per ounce = 1.39/6

Cost per ounce = $ 0.23 (rounding to the next cent)

B. Cook Top Stuffing Mix 12 oz. for $2.99.  If we use the coupon the price would be $ 2.89.

Cost per ounce = 2.89/12

Cost per ounce = $ 0.24 (rounding to the next cent)

C. Saltridge Farms Stuffing Mix 6 oz. for $1.79.

Cost per ounce = 1.79/6

Cost per ounce = $ 0.30 (rounding to the next cent)

D. Cousin Ben's Stuffing Mix 6 oz. for $1.29.

Cost per ounce = 1.29/6

Cost per ounce = $ 0.22 (rounding to the next cent)

The brand that is the best buy is D. Cousin Ben's Stuffing Mix 6 oz, because the cost per ounce is the lowest.

Answer:

When graphing in this problem we will be graphing the equation y=2x+8, where the 2x represents the fee for each ride, and 8 represents the fee to get in.

When graphing y=2x+8, you 8 is where it is going to be on the y-intercept, so the first step is to put a dot on the 8 on the y-axis. Then from that point (y-intercept) you would go up 2 and over 1, because that is your slope (2x), then you continue on with your slope up 2 and over 1, until you reach the top of your graph.

Hope this helps ;)

Approximately 67% there are 6 numbers and 4 of them are even So you have to divide 100 and 6 then multiply the answer by 4

For the given triangle, the tan of angle A equals C.

Step-by-step explanation:

Step 1:

For the given triangle, the hiking route is represented by AB and the change in elevation is represented by BC.

So we need to calculate the value of BC for the given triangle

Step 2:

In the given triangle, the opposite side has a length of 'a' feet, the adjacent side has a length of 'b' feet while the triangle's hypotenuse measures 400 feet.

To calculate the opposite side of the triangle, we can use the sine of any angle in that particular triangle. The sine of a particular angle is the opposite side's length divided by the hypotenuse's length.

sin A = [tex]\frac{oppositeside}{hypotenuse}[/tex] .

Step 3;

The length of the opposite side = a,

The length of the hypotenuse side = 400 units.

[tex]\sin A=\frac{a}{400}, \sin 25^{\circ}=0.4226[/tex]. So

[tex]0.4226=\frac{a}{400}, a=0.4226 \times 400[/tex] = 169.04 feet.

So the change in elevation is 169.04 feet.

Answer:

B. Henry for the first one and A. Isebella for the second one

Step-by-step explanation:

Answer:

1. Henry

2. Isabella

Step-by-step explanation:

Answer:

[tex]f(x) = 2^{-x}[/tex]

Step-by-step explanation:

The transformation is a reflection across the y-axis

A reflection across the y-axis is produced by putting a negative sign in front of the x.

Answer:

Explanation:

1. Function for the height (given):

    [tex]h(t)=-16t^2+48t+100[/tex]

2. Type of function

That is a quadatic function, whose graph is a parabola that opens downward.

The maximum of the function, i.e. the maximum height, is the vertex of the parabola.

The vertex of a parabola with the genral equation   [tex]y=ax^2+bx+c[/tex]  is at the x-coordinate

                       [tex]x=-b/(2a)[/tex]

3. Time to achieve the maximum height

Substitute b with 48 and a with - 16:

        [tex]t=-48/(2(-16))=48/32=3/2=1.5[/tex]

Then, time when the object achieves the maximum height it 1.5s

4. Maximum height:

Replace t with 1.5 in the equation, to find the maximum height, h(1.5)

     [tex]h(1.5)=-16(1.5)^2+48(1.5)+100=136[/tex]

Then, the maximum height is 136 ft

1. D

2. D

3. c

4. A

5. C

I'm not 100% sure about these. Just letting you know.

Similar triangles may or may not be congruent.

1. The length of RS

Since U and V are the midpoints, then:

[tex]\mathbf{RS = 12 + 12}[/tex]

[tex]\mathbf{RS = 24}[/tex]

Hence, the length of RS is (d) 24

2. The value of x

This is calculated as:

[tex]\mathbf{SV = VT}[/tex]

So, we have:

[tex]\mathbf{2x = 11}[/tex]

Divide both sides by 2

[tex]\mathbf{x = 5.5}[/tex]

Hence, the value of x is (d) 5.5

3. The value of y

This is calculated as:

[tex]\mathbf{WT = WR}[/tex]

So, we have:

[tex]\mathbf{3y = 15.9}[/tex]

Divide both sides by 3

[tex]\mathbf{y = 5.3}[/tex]

Hence, the value of y is (d) 5.3

4. The value of UW

This is calculated as:

[tex]\mathbf{UW = 2x}[/tex]

So, we have:

[tex]\mathbf{UW = 2 \times 5.5}[/tex]

[tex]\mathbf{UW = 11}[/tex]

Hence, the value of UW is (a) 11

5. The value of UV

This is calculated as:

[tex]\mathbf{UV = RW}[/tex]

So, we have:

[tex]\mathbf{UV = 15.9}[/tex]

Hence, the value of UV is (c) 15.9

Read more about similar triangles at:

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Answer:

16.2

Step-by-step explanation:

Add the numbers together

Answer:

a is correct

Step-by-step explanation:

Answer:

13 +13 +14 ensures he is getting the smallest amount so its 14

Step-by-step explanation: