Given: ASTU with ST || XY
Prove: * -
Statements
1. ASTU with ST || XY
Reasons
1. given
2. def. of corresponding
angles
2. 21 and 22 are
corresponding angles
3. 23 and 24 are
corresponding angles
4. 21 - 22; 23 24
3. def. of corresponding
angles
4. corresponding angles
theorem
5.
5. AA similarity theorem
Complete the steps of the proof.
6. def. of similar triangles
6. U = Tu
7. SU = SX + XU:
TU = TY + YU
8. SXEUXU – TYHYU
7. segment addition
postulate
8. substitution property
X
XII
TY
VII

Answer:

122500

Step-by-step explanation:

The formula

A=p(1+rt)

A ?

P 100000

R 0.075

T 3 years

A=100,000×(1+0.075×3)

A=122500

Final answer:

The value of the house at the end of three years would be approximately £123,696.47.

Explanation:

To find the value of the house at the end of three years, we need to calculate the appreciation for each year and add it to the original value. Since the value of the house appreciates by 7.5% each year, we can calculate the value after three years using the formula:

New Value = (1 + Rate of Appreciation) * Original Value

Let's calculate:

The value of the house at the end of the three years would be approximately £123,696.47.

after a long and intense thinking of 2 seconds it's 4 units

We have been given that a cone has a radius of 12 inches and slant height of 20 inches. We are asked to find the volume of the cone.

We will use volume of cone formula to solve our given problem.

[tex]V=\frac{1}{3}\pi r^2\sqrt{l^2-r^2}[/tex], where

V = Volume of cone,

r = Radius,

l = Slant height.

Upon substituting our given values in volume formula, we will get:

[tex]V=\frac{1}{3}\pi\cdot 12^2\cdot \sqrt{20^2-12^2}[/tex]

[tex]V=\frac{1}{3}\pi\cdot 144\cdot \sqrt{400-144}[/tex]

[tex]V=48\pi\cdot\sqrt{256}[/tex]

[tex]V=48\pi\cdot16[/tex]

[tex]V=2412.743157[/tex]

[tex]V\approx 2412.74[/tex]

Therefore, the volume of the cone is approximately 2412.74 cubic inches.

Answer:  5/19

Step-by-step explanation:

There is a  total of 20 tickets numbered from 1 to 20.

10 of the tickets has even number and 10 of the tickets have odd numbers.

probability of drawing a ticket that has even number =10/20 which is equal to 1/2

there are total 19 tickets and 10 odd tickets are available.

Probability of drawing a ticket that has odd number =1019

probability =1/2∗10/19=5/19

Answer:

a. 5/19, b. 14/95

Step-by-step explanation:

a. since the first number drawn has 10/20 chance of being even and it's not put back (you assume that you pull an even #), so the second number pulled has a 10/19 chance of being odd.

10/20*10/19 = 5/19

b. 2, 3, 5, 7, 11, 13, 17, 19 are the prime numbers, so 8/20 for the first pull and then 7/19 for the second pull

8/20*7/19 = 14/95

Answer:

10 is acute

11 is a right

12 obtuse

Step-by-step explanation:

Answer:

Option 3

g(x) = Negative RootIndex 3 StartRoot x + 4 EndRoot; x greater-than-or-equal-to –4

Step-by-step explanation:

Since the graph starts at x = -4 and towards the right, domain is x 》-4

g(x) = -(x + 4)^⅓

Because,

0 = -(-4 + 4)^⅓

0 = 0

The function g(x) for the restricted domain is g(x) = -∛(x-4); x ≥ -4.

The function g(x) for the restricted domain can be determined by analyzing the given information. The function starts at (-4, 0) and curves through the y-axis at (0, 1.5) before passing through point (4, 2). Based on this, the correct function is g(x) = -∛(x-4); x ≥ -4.

https://brainly.com/question/40116062

#SPJ2

Answer:

positive trend

Step-by-step explanation:

the points are all positive

Answer: it shows no trend they’re all scattered and there is no straight line

Step-by-step explanation:

Final Answer:

The magnitude of the resultant force when two 10 pound forces act on the same object 135° apart is approximately 18.47 pounds.

Explanation:

To find the magnitude of the resultant force when two forces are acting at an angle to each other, we can use the law of cosines. In this scenario, we have two forces each of 10 pounds acting on an object with an angle of 135° between them. Let's denote the forces as F1 and F2, both of which have magnitudes of 10 pounds. The angle between them is θ = 135°.

The formula for the resultant force R when two forces act at an angle θ is:

[tex]\[ R = \sqrt{F1^2 + F2^2 + 2 \cdot F1 \cdot F2 \cdot \cos(θ)} \][/tex]

In our case:

[tex]\[ F1 = F2 = 10 \, \text{pounds} \][/tex]

[tex]\[ θ = 135° \][/tex]

Plugging these values into the formula, we get:

[tex]\[ R = \sqrt{10^2 + 10^2 + 2 \cdot 10 \cdot 10 \cdot \cos(135°)} \][/tex]

[tex]\[ R = \sqrt{100 + 100 + 200 \cdot \cos(135°)} \][/tex]

The cosine of 135° is -√2/2 (since 135° is in the second quadrant where the cosine is negative):

[tex]\[ R = \sqrt{200 - 200 \cdot \frac{-\sqrt{2}}{2}} \][/tex]

[tex]\[ R = \sqrt{200 + 100\sqrt{2}} \][/tex]

[tex]\[ R = \sqrt{200 + 100 \cdot 1.414} \] (Since √2 is approximately 1.414)[/tex]

[tex]\[ R = \sqrt{200 + 141.4} \][/tex]

[tex]\[ R = \sqrt{341.4} \][/tex]

[tex]\[ R \approx 18.47 \text{ pounds} \][/tex]

Therefore, the magnitude of the resultant force when two 10 pound forces act on the same object 135° apart is approximately 18.47 pounds.

Answer: 43

Multiply

3×3=9

New Problem: (2)(9)+5²

Multiply

2×9=18

New Problem: 18+5²

Multiply

5×5=25

New Problem: 18+25

Add

18+25=43

Answer:

it would be 43 :)

Step-by-step explanation:

first you have to do 3 squared which is 9 then you multiply it by 2. Then square 5 which is 25 and add 25 +18+ 43

Answer:

Step-by-step explanation:

120 and 56

Answer:

672 squared in.

Step-by-step explanation:

first, we're going to find the height of the prism (it's not provided to us)

im using the Pythagorean Therm .

height: 8 in.

(i got lazy)

Answer:

the answer is (-3,-4)

Step-by-step explanation: -3, -4

The vertex of the parabola is (-3, -4)

A parabola is defined as a set of points in a plane which are equidistant from a straight line or directrix and focus.

Given:

The solid circles along the parabola are:

(-6, 5), (-5, 0), (-4, -3), (-3, -4), (-2, -3), (-1, 0), (0, 5).

As, the minimum point of y occurs at (-3, -4).

So, the x-intercept of the parabola is

x=-5 or x=-1

x+5=0 or x+1=0

(x+5)(x+1)=0

x² + 6x+ 5 =0

Now, vertex of equation at axis of symmetry x= -b/2a

x= -6/2 = -3

and, f(-3)= -3 * (-3) + 6(-3) + 5

f(-3)= -4

Learn more about this concept here:

https://brainly.com/question/16204014

#SPJ2

Final answer:

The minimum amount of paper needed to make the paper cup to the nearest whole cm² is approximately 283 cm².

Explanation:

To find the minimum amount of paper needed to make the paper cup, we need to calculate the surface area of the cup. The formula for the surface area of a cylinder is:

A = 2πrh + π[tex]r^2[/tex]

Given that the height (h) of the cup is 9 cm and the radius (r) of the circular opening is 2.5 cm, we can plug in the values to calculate the surface area:

A = 2 × 3.14159 × 2.5 × 9 + 3.14159 × [tex]2.5^2[/tex]

Simplifying the equation, we get:

A ≈ 282.74 [tex]cm^2[/tex]

Rounding to the nearest whole , the minimum amount of paper needed is approximately 283 [tex]cm^2.[/tex]

Answer:

vvvvvvvvvv

Step-by-step explanation:

there are lots of common polar curves that are bounded therefore a polar curve is not always bounded all the time. a polar curve is required to have an unbounded function (right side of r = f(θ)) to be an unbounded polar.

Answer:

There are lots of common polar curves that are bounded therefore a polar curve is not always bounded all the time. A polar curve is required to have an unbounded function (right side of r = f(θ)) to be an unbounded polar.

be safe and have a day

∵∴∵∴∵∴∵∴∵  

⊕ΘΞΠΤ⊕  

∵∴∵∴∵∴∵∴∵

Answer:

1/4

Step-by-step explanation:

Just did this.

Answer:

I dont like math no fair

Answer:

477 :)

Step-by-step explanation:

For math definetly reccommened photo math it is a app that only works on apple but will be the greatest help and always has right answer cause it is high quality app but if you have a apple product then it will be free

Answer:

You actually do not ask anything here, so i will find the equation for the height and i will use it to find something useful, like the maximum height of the baseball.

For any object in a vertical motion, the only force acting on it is the gravitational force, so the acceleration of the object will be equal to g.

a(t) = -g

where the minus sign is because the gravitational acceleration pulls down.

For the velocity we can integrate over time, and get:

v(t) = -g*t + v0

Where v0 is the initial velocity, in this case v0 = 72 ft/s

v(t) = -g*t + 72ft/s

with this equation we can find the time in wich the height is maximum, we need to find the time where the velocity is 0.

-g*t + 72 = 0

t = 72/g

for the height we can integrate over time again:

h(t) = (-g/2)*t^2 + 72ft/s*t + h0

where h0 is the initial height, in this case h0 = 3ft

here we can also replace the value of g = 32ft/s^2

h(t) = (-16ft/s^2)*t^2 + 72ft/s*t + 3ft

Now we can evaluate this in the time that we previously find, t = 72/g = 72/32 = 2.25s

h(2.25s) = -16*2.25^2 + 72*2.25 + 3 = 85.08 feet

Question;

1) The shaded plants set has greater variability because more data is clustered around the median.

2) The sets are equally variable because the ranges of the data sets are equal.

3) The full sun plants set has greater variability because the IQR for full sun plants is greater.

Answer:

The correct option is;

3) The full sun plants set has greater variability because the IQR for full sun plants is greater

Step-by-step explanation:

To answer the question, we present the dot plot as follows;

Heights of Shaded plants (inches)

          0       4      3       2      0       0             1

0       1.5      2     2.5     3     3.5     4           4.5

We calculate the five numbers as follows;

Max = 4.5

Min = 2

1st quartile = (10+1)/4 th term = 2

2nd quartile (Median) = (10+1)/2 th term = 2.5

3rd quartile = 3×(10+1)/4 th term = 3

Interquatile range (IQR) = Q₃ - Q₁ = 3 - 2 = 1

Where:

Q₁ = 1st quartile

Q₃ = 3rd quartile

Heights of Full Sun plants

0     1      0      2      0       4         3

1.5   2    2.5    3     3.5     4        4.5

We calculate the five numbers as follows;

Max = 4.5

Min = 2

1st quartile = (10+1)/4 th term = 3

2nd quartile (Median) = (10+1)/2 th term = 4

3rd quartile = 3×(10+1)/4 th term = 4.5

Interquatile range (IQR) = Q₃ - Q₁ = 4.5 - 3 = 1.5

The interquartile range, IQR, is a measure of variability

Therefore, the full sun plants set has greater variability because the IQR for full sun plants is greater.

Answer:

A

Step-by-step explanation:

1) If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is [tex]\frac{1}{6}[/tex].

If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex].

If a coin is flipped twice, determine the probability that it will land heads both times:

Favorable outcomes: 1 -- HH

Possible outcomes: 4 -- HH, HT, TH, TT

Thus, the probability that the coin will land heads both times is [tex]\frac{1}{4}[/tex].

If Dan grabs one sock from a drawer containing 3 white socks, 4 blue socks, and 5 yellow socks, what is the probability that he will grab a white sock?

Favorable outcomes: 3 (3 white socks)

Possible outcomes: 12 (3 white socks + 4 blue socks + 5 yellow socks)

Thus, the probability that Dan will grab a white sock is [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex].

Answer:

0.0625 is what i got

Step-by-step explanation:

64, -32, 16, --8, 4, -2, 1, -.5, .25, -.125, 0.0625

Answer:

The required probability is [tex]\dfrac{1}{12}[/tex].

Step-by-step explanation:

Let A be the event of rolling the number cube.

Let B be the event of tossing the coin.

Total number of possibilities of rolling the number cube and tossing the coin are 12 here.

[tex]\{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}[/tex]

where H means Head on toss of coin and T means Tails on toss of coin.

Formula for probability of an event E is:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here, we have to find the probability of event 'E' i.e. getting a 6 on number cube and heads on coin.

Number of favorable cases are 1 and total cases are 12.

[tex]\Rightarrow P(E) = \dfrac{1}{12}[/tex]

Answer:

I think it is not proportional because the line is supposed to go thro the middle of each dot, and some of the dots don't have a line thro the middle only on the side or not even on the dot.

Hope this helps!

Step-by-step explanation:

please mark me brainliest...

Answer:

Step-by-step explanation:

Two find the final probability asked, first we need to find each probability.

This probability is defined by the sum of the probability of getting a card with S, and a probability of getting a card with E. Remeber, when the probability involves "or", that means sum.

[tex]P_{S \ or \ E} =\frac{1+1}{4}=\frac{2}{4} =\frac{1}{2}[/tex]

There are two tiles only, and one of them is numbered 2. So, its probability is

[tex]P_{2}=\frac{1}{2}[/tex]

There are two discs only. So, the probability of getting a red disc is

[tex]P_{red}=\frac{1}{2}[/tex]

Now, the combined probabilty of all these events can be found by multiplying,  because we want to now the chances of getting all these results which are independent.

[tex]P_{total}=\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} =\frac{1}{8}[/tex]

Therefore, the probability is 1/8.

Answer:

i think it would be rounded to a whole

Step-by-step explanation:

tell me if im wrong

Step-by-step explanation:

Convert

13/15

to a decimal.

0.8

¯

6

Find the number in the tenth place

8

and look one place to the right for the rounding digit

6

. Round up if this number is greater than or equal to

5

and round down if it is less than

5

.

0.9

To find the total yards of ribbon, convert the length of each piece of ribbon from feet to yards and multiply it by the total number of pieces. James bought 707 yards of ribbon.

To find the total yards of ribbon, we need to convert the length of each piece of ribbon from feet to yards and then multiply it by the total number of pieces.

Since 1 yard is equal to 3 feet, we can use the conversion factor of 1 yard/3 feet to convert each piece of ribbon from feet to yards.

2.1 feet x (1 yard/3 feet) = 0.7 yards

Now, we can multiply the converted length of each piece of ribbon (0.7 yards) by the total number of pieces (1010) to find the total yards of ribbon:

0.7 yards x 1010 = 707 yards

Therefore, James bought a total of 707 yards of ribbon.

Step-by-step explanation:

5. 102 = 6( 1 + 4p)

102 = 6 + 24p

102 - 6 = 24p

96 = 24p

96/ 24 = p

4 = p

Answer:

(12 ft)^2 = 144 square feet

Step-by-step explanation:

How does the store sell carpet?

In square feet of carpet, right?

so

If the whole square bedroom needs to be covered with carpet, then the area to cover is  A = x * x = 12 feet * 12 feet = 144 square feet

Answer:

0.8 kilograms of fertilizer

Step-by-step explanation:

Looking at the data given to us in a fraction form, we can imagine:

4 kilograms / 5 weeks

To find out how many kilograms of fertilizer was used each week, we're going to divide that fraction out, so we're going to do 4 divided by 5. Dividing this will give you:

0.8 kilograms

Therefore your answer is that they use .8 kilograms of fertilizer each week.

Answer:

6

Step-by-step explanation: