Use the Pythagorean Theorem: x=

Step-by-step explanation:

Set the origin of the coordinate system at the top of the tower.

Given:

y = -234 ft (when the ball hits the ground)

v0 = +19ft/a

g = 32 ft/s^2

a) The equation of motion. for this freely-falling body is

y = v0t - (1/2)gt^2

When the ball hits the ground, t = T (time of flight)

----> -234 ft = (19 ft/s)T - (1/2)(32 ft/s^2)T^2

Rearranging the terms and dropping the units momentarily for brevity, we get

(16)T^2 - 19T - 234 = 0

This is a quadratic equation whose solution is

T = (1/32)[19 +- {(-19)^2 - 4(16)(-234)}]^(1/2)

= 4.46 s. or -2.68 s

Therefore, the time of flight T = 4.46 s

b) To find the velocity upon impact, we use

v = v0 - gt, where t = T = 4.46 s

= (19 ft/s) - (32 ft/s^2)(4.46 s)

= -123.7 ft/s

The negative sign means that its velocity is pointing down.

By adding the weight of the triangle, the weight of the circle heavier than that of the square.

The linear equation that results from examining the weights will contain the following parameters.

Let t stand for the triangle.

Let c stand for the circle.

Let's use the shape square.

left side of the equation = 6s + 3t

right side of the equation = 3s + 3c

equating both sides

6s + 3t = 3s + 3c

6s - 3s + 3t = 3s + 3c

3s + 3t = 3c

3(s + t) = 3c

dividing all through by 3

s + t = c

10 + t = c

Because of the resulting equation, we can conclude that the the circle is weightier than the square by the weight of the triangle

Learn more about equations at:

brainly.com/question/22688504

#SPJ1

Answer:

comparing number

Step-by-step explanation:

the answer is comparing numbers

Answer:

$25.22

Step-by-step explanation:

26 x .03= 0.78

26-0.78= $25.22

i hope this helps :)

You need 2 tablespoons of vinegar for every 1 tablespoon of oil.

What are a ratio and proportions?

A ratio is a way of comparing two or more values by division. A ratio expresses a relationship between two or more quantities. It is a comparison of one quantity to another. For example, the ratio of 3:2, 3 is being compared to 2.

A proportion is an equation that states that two ratios are equal. It can be written as:

a/b = c/d or a:b = c:d, where a,b,c,d are numerical values.

The ratio of tablespoons of vinegar to tablespoons of oil in the salad dressing is given by the ratio of the number of tablespoons of vinegar to the number of tablespoons of oil.

In this case, the ratio is 22 tablespoons of vinegar to 11 tablespoons of oil, or 22/11.

You can simplify this ratio by dividing both numerator and denominator by their greatest common divisor, that is 11

So the ratio of tablespoons of vinegar to tablespoons of oil is 2:1

Another way to express this is that for every 1 tablespoon of oil, 2 tablespoons of vinegar are needed.

So, If you want to know how many tablespoons of vinegar are needed for every tablespoon of oil you can use the proportion:

vinegar/oil = 22/11 = 2/1

Hence, you need 2 tablespoons of vinegar for every 1 tablespoon of oil.

To learn more about the ratio and proportion, visit:

https://brainly.com/question/12024093

#SPJ1

Answer: C

Step-by-step explanation:

[tex](2^{-7} \cdot 5^5)^2\\\\=2^{(-7)(2)} \cdot 5^{(5)(2)}\\\\=2^{-14} \cdot 5^{10}[/tex]

Answer:

B. 1

Step-by-step explanation:

I calculated it logically

Answer:

The correct answer bbbbb B. 1

The exponential expression is (√4×√2)².

Radical form is the expression that involves radical signs such as square root, cube root, etc instead of using exponents to describe the same entity.

The given number is √8.

Now, 8=(√4×√2)²

=(2×√2)²

= 4×2

= 8

Therefore, the exponential expression is (√4×√2)².

Learn more about the radical form here:

brainly.com/question/27272065.

#SPJ1

"Your question is incomplete, probably the complete question/missing part is:"

Rewrite the exponential expression using factors of √8 so that the base of the equation is a product of two factors, with one factor being a perfect square.

The cost of the shirts after the discount is $43.20.

A 5% tax adds an additional $2.16 so the total bill comes to  45.36.

Kayla does not have enough money to buy the three shirts.

The first step is to determine the total cost of the three shirts.

Total cost of the three shirts = cost of one shirt x total number of shirts

$18 x 3 = $54

Cost of the shirt after the sale = (1 - discount/100) x total cost of the shirt

(1 - 20/100) x $54

(1 - 0.2) x $54

= 0.8 x $54

= $43.20

Price after the tax : (1 + tax/100) x cost of the shirt after the discount

(1 + 5/100) x $43.20

(1 + 0.05) x $43.20

1.05 x $43.20 = 45.36

To learn more about tax, please check: https://brainly.com/question/16423331

#SPJ1

Roller coaster B has greater top speed than roller coaster A.

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.

Given,

speed of roller coaster A = 110ft./s

speed of roller coaster B = 85mph

1 mile = 5280 feet

⇒ 85 mile = 5280 × 85 = 448800 feet

1 hour = 3600 seconds

speed of roller coaster  B = 448800/3600 ft/s = 124.67 ft/s

comparing speed of both

Speed of roller coaster B > speed of roller coaster A

Hence roller coaster B has greater top speed.

Learn more about unit conversion here:

brainly.com/question/7171227

#SPJ1

The number of months Mark can have the phone is given by the equation

A = 11.4 months

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of months be represented as = A

Now , the equation is

Now , the total amount with Mark = $ 146.43

The initial amount for the smartphone = $ 33

The amount per month for 2GB is = $ 9.95

So , the amount for A months = $ 9.95 ( A )

So , the equation will be

Initial amount for the smartphone + the amount for A months = total amount with Mark

Substituting the values in the equation , we get

33 + 9.95 ( A ) = 146.43   be equation (1)

On simplifying the equation , we get

Subtracting 33 on both sides of the equation , we get

9.95 ( A ) = 113.43

Divide by 9.95 on both sides of the equation , we get

A = 11.4 months

Therefore , the value of A is 11.4 months

Hence , the number of months is 11.4 months

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Answer: To find the percent increase in pay, you can use the following formula:

percent increase = ((new pay - old pay)/old pay) * 100

Plugging in the values given in the question, you get:

percent increase = ((11.75 - 10.50)/10.50) * 100

= (1.25/10.50) * 100

= 0.119047619 * 100

= 11.9047619%

Therefore, the percent increase in pay is approximately 11.9%.

Step-by-step explanation:

Answer:

A) 1 line of symmetry

Step-by-step explanation:

On solving the provided questions, we can say that the congruence of ABC=DEF, where A=D, B=E, and C=F.D because they are equal in length. F

A figure that can be put exactly on another is said to be "matching." When the bread is piled, it is the same size and shape. The term "match" describes things that are precisely the same shape and size. A pair of geometric figures is said to be congruent or to be in a congruent relationship if one of them can be reliably superimposed over the other.

B D and F.

B because they would go together if the statement were put in that particular sequence. ABC=DEF, where A=D, B=E, and C=F.D because they are equal in length. F due to the same cause as B.

To know more about  congruence visit:

brainly.com/question/7888063

#SPJ1

Answer:

It would be B.

Step-by-step explanation:

This is because adding a negative exponent onto a number is telling you how many times you have to divide it by. So in this case, it would be the equation 1 / 2^4 to solve it.

Answer:

answer is b friend

Step-by-step explanation:

Answer:

[tex] ln \: {x}^{ \sqrt{3} } = \sqrt{3} \: ln(x) [/tex]

We can write by power property of logarithm that [tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]

A logarithm is the power to which a number must be raised in order to get some other number

We need to use the Property of Logarithms to write the logarithm as a product[tex]logx^{\sqrt{3}}[/tex]

We have a power property of logarithm that [tex]loga^{b} =bloga[/tex]

So Given logx to the power of root three

Here consider x as a and b as root 3.

[tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]

Hence, We can write by power property of logarithm that [tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]

To learn more on Logarithms click:

https://brainly.com/question/28346542

#SPJ2

The total length of the two boards put together is 5ft 11in.

Length is a measure of distance. It is typically measured in units such as inches, feet, yards, miles, millimeters, centimeters, and meters. Length can also be measured in other units, such as the amount of time it takes to travel a certain distance. Length is an important concept in mathematics and is used in many different topics and applications.

To simplify this answer in feet, we can convert the 10 inches and 9 inches to feet, giving us a total of 5 feet. Therefore, the total length of the two boards put together is 5ft.

To know more about Length click-
https://brainly.com/question/25292087
#SPJ1

Let the numbers be x and 4x. So, according to the question,

x + 4x = 100

=> 5x = 100

=> x = 100/5

=> x = 20

So, the number are,

x = 20

and

4x = 4×20 = 80

So, the two numbers are 20 and 80.

Answer:

The answer is 28

Step-by-step explanation:

B×h ÷ 2

8×7 ÷ 2

Answer:

Too much money

Step-by-step explanation:

Answer:

The temp. started at -20. If it rose +8 degrees, then it would be -20+8=-12, because since the -20 and +8 are opposites, you would subtract them and the answer would have the sign of the larger number which is -. so -12 is the answer.

Step-by-step explanation:

since the -20 and +8 are opposites, you have to subtract them and you get -12

the temperature at midnight is -12 get it?

Answer:

D

Step-by-step explanation:

Please mark brainliest

Answer:

This is the event X1=H. There are 8 outcomes in this event. Let C be the event that the first flip and the third flip are both heads. So A and B would not be the answer so I am guessing it is D and if I am right pls mark me brainless

Answer: 9 is on left of the tiny dotted line of 10. 2 is the tiny dotted line right of 1 and -4 is right of the tiny dotted line of 5.

Step-by-step explanation:

here's a vague picture, hope this makes sense.

Answer:

[tex] \frac{5}{6} * 20 = \frac{5 * 20}{6} = \frac{100}{6} = \frac{50}{3} = 16\frac{2}{3} [/tex]

Step-by-step explanation:

[tex] \frac{5}{6} * 20 [/tex]

Multiply

[tex] = \frac{5 * 20}{6} [/tex]

[tex] = \frac{100}{6} [/tex]

Simplicity by reducing the fraction. Divide the numerator and denominator by 2, respectively.

[tex] = \frac{50}{3} [/tex]

Divide 50 by 3 to get a mixed number

[tex] = 16\frac{2}{3} [/tex]

Answer:

D. 1.12

Step-by-step explanation:

I calculated it logically

Answer:

Step-by-step explanation:

Note the shiding squares ( 12 of 16) represent 3/4. And you are taking a quarter of that. The equation is

[tex]\frac{3}{4}\div4=\frac{3}{16}[/tex]

Answer: 2.) Blue and red

Step-by-step explanation:

The slope of the red and blue ones is - 3 while the green one's slope is -4

Answer: 50%

Step-by-step explanation: