Given the same type of golf ball scenario with an equation
y=-0.005x2 +1.8x, horizontal distance of 360 feet, maximum
height of 162 feet, and using the helpful projectile motion formulas
below, answer the following.
x(t)=v, cos(6)y(t)= h, + v, - sin(0).4-1612
. 0
a.) What is the angle at which the ball takes off?
[ Select]
b.) How long is the ball in the air? (Select]
c.) What is the ball's speed when it hits the ground?
[ Select

The situation in which triangles will be made congruent for sure is given by: Option ( iii ) Both making a triangle TRY with right angle at T and sides TR =4 cm and RY =5cm

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]

(|AB| denotes length of line segment AB, and so on for others).

For two triangles being congruent, we need at least:

Checking all the options:

Only one side and one angle are not enough.

Two equilateral triangles are not necessary to be congruent. Example, one equilateral triangle has sides of 3 units, and other triangle has sides of 5 units.

Two sides TR and RY and a non-included angle T is given. This doesn't satisfy SAS' condition. But since it is given that:

Angle T is right angled, so we now know that RY is going to be hypotenuse.

Using this fact, and the fact that |RY| = 5 cm, |TR| = 4 cm, and Pythagoras theorem, we can get |TY| = 3 cm.

Thus, it will complete SSS condition, and therefore, by SSS congruency, the triangles made in this case would be congruent.

All angles(corresponding) being equal implies similarity, but not congruence.

Thus, the situation in which triangles will be made congruent for sure is given by: Option ( iii ) Both making a triangle TRY with right angle at T and sides TR =4 cm and RY =5cm

Learn more about congruent triangles here:

https://brainly.com/question/16921692

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Step-by-step explanation:

There is no options but I think the graph equation is

[tex]f(x) = \sqrt{x} + 2[/tex]

Answer:

Yes

Step-by-step explanation:

What is 15 percent of 45? = 6.75.

Answer:

58 y/o

Step-by-step explanation:

Write out the English in math terms

[24/(-3) + (-7) ] * -4     -2   = Father's age =   58

Answer:

y>3

Step-by-step explanation:

All values on the y axis will be greater than 3

Hope this helps :D

Note that

For a pair (x,y)

Here x goes from

Hence domain

As There is open dot on -9 we used <

Expanding the product gives

(2 - 3i) (4 + 3i) = 8 - 12i + 6i - 9i² = (8 + 9) + (6 - 12) i = 17 - 6i

so a = 17.

$920 - $60x

Step-by-step explanation:

after one month, he try would have taken out 60 x 1 dollars, after two months, 60 x 2, 3 months, 60 x 3, etc. so after x months he would have taken out 60x (60 times x) dollars. if he starts with 920 dollars, he would be left with $920 - $60x.

<3

Answer do your work

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

2:4 when divided by 2 gets you 1:2

and 2:4 multiplied by 2.5 gets you 5:10

Answer:

B and D

Step-by-step explanation:

So basically we have to find the unit rate of 2:4.

(remember to find the unit rate we have to simplfy the ratio until one of the quantities is 1)

2:4 (divide by 2 on each side)

1:2 (B)

now we can use this unit rate of 1:2 to find out other equal ratios

1:2 (multiply 5 on both sides)

5:10 (D)

Answer:

Rectangular Pyramid

Step-by-step explanation:

The shape is a rectangle.  Thus, leaving only two viable answers.

The picture is not a prism.  Hence, the only option left is a rectangular pyramid.

Answer:

If you are meaning how many times can you subtract 8 from the answer with it still being a positive number, then 1. Otherwise 0

Step-by-step explanation:

Answer:

35 inches long

Step-by-step explanation:

the answer is 35 inches long because if you do 38x2 because of the two sides you will get 76 then subtract 76 from 146 then you will get 70. Then do 70÷2 to find out the other side and i got 35

Answer:

(a) 5 units up

(b) 3 units right

(c) 7 units left

Step-by-step explanation:

Parent equation:  [tex]y=x^2[/tex]

Transformed equation:  [tex]y = (x - h)^2+ k[/tex]

h translates the parabola horizontally

If h > 0 then the translation is h units to the right.

If h < 0 then the translation is h units to the left.

If h = 0 then there is no horizontal translation.

k translates the parabola vertically

If k > 0 then the translation is k units up.

If k < 0 then the translation is k units down.

If k = 0 then there is no vertical translation.

Part (a)

Given equation:  [tex]y=x^2+5[/tex]

Rewriting in transformed equation form:  [tex]y=(x-0)^2+5[/tex]

Therefore, the parabola is translated 5 units up.

Part (b)

Given equation:  [tex]y=(x-3)^2[/tex]

Rewriting in transformed equation form:  [tex]y=(x-3)^2+0[/tex]

Therefore, the parabola is translated 3 units right.

Part (c)

Given equation:  [tex]y=(x+7)^2[/tex]

Rewriting in transformed equation form:  [tex]y=(x+7)^2+0[/tex]

Therefore, the parabola is translated 7 units left.

Part (d)

Given equation:  unreadable

Answer:

12

Step-by-step explanation:

first, find the unit rate. to get the unit rate, we would figure out how many miles he can ride in 1 hour. to get this, divide by 3, to get hours to 1 instead. now divide miles by 3 to get 3 mph. multiply by 4, and you have your answer.

Answer:

72 in²

Step-by-step explanation:

since the trap is open left and right, we don't include these side areas.

so, all we have for the surface area are

the top rectangle (2.5 in × 12 in),

the bottom rectangle (2 in × 12 in)

the back rectangle (1.5 in × 12 in)

for the total surface area we need to to add all 3 areas up.

in our case we get

2.5 × 12 = 30 in²

2 × 12 = 24 in²

1.5 × 12 = 18 in²

total is then

30 + 24 + 18 = 72 in²

The reduced form of Sin⁴(6x) in terms of the first power of Cosine is; 1 - 1/4(Cos (24x)).

It follows from the task content that;

Hence, from product identity;

Upon further use of the product identity;

On this note, it follows that use of the power reducing formula on the function sin⁴(6x) is;

Read more on power reducing formula;

https://brainly.com/textbook-solutions/q-exercises-35-38-use-power-reducing-formulas-c7freu

Answer

rational

Step-by-step explanation:

Answer:

This implies that the opening price was 21080.28. Explanation: The Dow Jones Industrial Average measures the stock performance of 30 large

Answer:

a^3 + b^3

Step-by-step explanation:

(a + b)(a^2-ab+b^2)

a(a^2 -ab +b^2) +b(a^2-ab+b^2)

a^3 - a^2b +ab^2 + ba^2 -ab^2 +b^3

a^3 -a^2b +a^2b ab^2-ab^2 + b^3

The final answer will then be:

a^3 + b^3

Hope this helps! Have a great one! And I give out the best of luck for whatever quiz this is on!

Answer:

a^3 - b^3

Step-by-step explanation:

a^3+a^2b+ab^2 -a^2b -ab^2 -b^3

a^3 - b^3

Answer:

2 outfits and 7 ties left

Step-by-step explanation:

Answer: my guess is 18 or 4 because you can multiply 2*9 or divide 9/2 which gives you 4.5

You could round it but then it would just be 4 outfits and a half which wouldn’t make sense so it’s best if 4. I really hope if I helped because honestly I was confused too lol have a good day

Step-by-step explanation:

Answer:

9.66667

Step-by-step explanation:

The average of all the data in a set.

Answer: [tex]9\frac{2}{3}[/tex]

Step-by-step explanation:

To find the mean we must add all of the numbers together and then divide them by the amount of numbers in the set

This set has 6 numbers

I will solve the addition step by step instead of all at once to make it easier to understand

[tex]\frac{10+13+11+10+5+9}{6} \\\\\frac{23+21+14}{6} \\\\\frac{44+14}{6} \\\\\frac{58}{6} \\\\9\frac{2}{3}[/tex]

Answer:

please send the image to enable me to answer

Answer:

30

Step-by-step explanation:

All of the angles add to 180 degrees for a triangle

x + 2x + 3x = 180

6x = 180

x = 30

Answer:

12 and 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Is that Ed genuity?! I used to use it. I had the same problem once!