From a point at the waters edge, a bridge arch 53 m away has an angle of elevation of 30, and the top of a yacht mast 14 m away has an angle of elevation of 12°. Can the yacht pass under the bridge?​

Answer:

[tex]1+2\sqrt{2}[/tex] seconds

Step-by-step explanation:

When the ball hits the ground, its height will obviously be 0. Therefore, you can set up the equation the following way:

[tex]0=-5t^2+10t+35 \\\\-5(t^2-2t-7)=0[/tex]

Plugging this into the quadratic equation, you get:

[tex]t=\dfrac{2\pm\sqrt{4+28}}{2}= \\\\\dfrac{2\pm4\sqrt{2}}{2}= \\\\1\pm2\sqrt{2}[/tex]

Since the time must be positive, it takes the ball [tex]1+2\sqrt{2}[/tex] seconds to hit the ground, or around 3.828. Hope this helps!

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Answer:

Points (-4,0) and (5,0) will lie on the x axis.

Step-by-step explanation:

To know if a point lies on the x axis, the y - value of a coordinate will always be zero. Here is the graph below:

Answer:

Yes he did break the speed limit

Step-by-step explanation:

If he stuck to the speed limit it would have taken him 6 hours to go 540 kilometers

Answer:

Percent = 70%

fraction = 7/10

Step-by-step explanation:

Percent

14 / 20 = 0.7

0.7 x 100 = 70%

Fraction

14 / 20

7 / 10

(just simplify 14/10 by dividing by 2 on the numerator and demotinator.)

14 out of 20 can be written as the fraction 7/10 and as the percentage 70%.

To write 14 out of 20 as a fraction, we can simply write it as a ratio of 14 to 20.

Fraction: 14/20

However, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.

Dividing 14 by 2, we get 7, and dividing 20 by 2, we get 10.

So, the simplified fraction is:

7/10

To express this fraction as a percentage, we can convert it by multiplying it by 100.

Percentage: (7/10) x 100 = 70%

Therefore, 14 out of 20 can be written as the fraction 7/10 and as the percentage 70%.

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Answer:

rectangular pyramid

Step-by-step explanation:

Ive had a question like that and i put that and got it right and because it makes the nost sense because its squares and they are going up if you get it

Answer:

x >5

Step-by-step explanation:

4(x - 3) - 2(x - 1) >0

Distribute

4x -12 -2x +2 > 0

Combine like terms

2x -10 >0

Add 10 to each side

2x-10+10 > 10

2x>10

Divide each side by 2

2x/2 > 10/2

x >5

The answer is: [C]: " {x | x > 5} " .

__________________________________________

Explanation:

__________________________________________

Given: " 4(x − 3) − 2(x − 1) > 0 " ;

__________________________________________

Note the "distributive property of multiplication" :

__________________________________________

a(b+c) = ab + ac ;

a(b−c) = ab − ac ;

___________________________________________

So, given:

_________________________________________________

→ 4(x − 3) − 2(x − 1) > 0 ;

_________________________________________________

Let us simplify; and rewrite:

_________________________________________________

Start with:

______________________________________________________

→ -2 (x − 1) = (-2*x) − (-2 *1) = -2x − (-2) = -2x + 2 ;

______________________________________________________

Now, continue with:

→ 4(x − 3) = (4*x) − (4*3) = 4x − 12 ;

______________________________________________________

So, given the original problem:

______________________________________________________

→ 4(x − 3) − 2(x − 1) > 0 ;

______________________________________________________

Rewrite;

Replacing: "4(x − 3)" ; with: "4x − 12" ;

and replacing "− 2(x − 1)" ; with: " -2x + 2" ;

______________________________________________________

as follows: → " 4x − 12 − 2x + 2 " > 0 ;

______________________________________________________

On the "left-hand side", combine the "like terms", and simplify ;

______________________________________________________

+4x −2x = +2x ; −12 +2 = -10 ; and rewrite:

______________________________________________________

→ 2x − 10 > 0 ; Add "10" to EACH SIDE of the inequality;

______________________________________________________

→ 2x − 10 + 10 > 0 + 10 ;

______________________________________________________

to get: → 2x > 10 ;

______________________________________________________

→ Now, divide EACH SIDE of the inequality by "2";

to isolate "x" on one side of the inequality; & to "solve"/"simply" for "x" ;

_______________________________________________________

→ 2x / 2 > 10 / 2 ;

_______________________________________________________

→ x > 5 ; which is:

_______________________________________________________

→ Answer choice: [C]: " {x | x > 5} " .

_______________________________________________________

Answer:

4:2

Step-by-step explanation:

edge2020

Answer:

x=3

Step-by-step explanation:

12x-14=4x+10​

Subtract 4x from each side

12x-4x-14=4x-4x+10​

8x - 14 = 10

Add 14 to each side

8x - 14+14 = 10+14

8x = 24

Divide each side by 8

8x/8 = 24/8

x = 3

Answer: x = 3

Explanation: This problem can be done either of two ways.

By putting the variables together on the left and

the numbers together on the right or vice versa.

If we put our variables together on the left and our

numbers together on the right, we would start by

subtracting 4x from both sides to get 8x - 14 = 10.

Next, we add 14 to both sides to get 8x = 24.

Finally, we divide both sides by 3 to get x = 3.

Answer:

Applying the theorem of intersected chords inside a circle:

AR x RB = DR x RC

=> RB = DR x RC/AR = 3 x 5/2 = 7.5

=> Option B is correct

Hope this helps!

:)

Answer:

Any value greater than 5:

x > 5

Step-by-step explanation:

The average of two numbers 'a' and 'b' is given by the formula:

Average = (a + b)/2

If the average between x and its successor (that is, x+1) is greater than 5, we have that:

(x + (x+1)) / 2 > 5

x + x + 1 > 10

2x > 9

x > 4.5

The value of x is an integer number, so x can be any number greater than 5:

x > 5

Answer:

3

Step-by-step explanation:

Answer:

This is a numerical expression or D.

Step-by-step explanation:

It is not algebraic because it doesn't include unknown variables such as x or y

and it is not a numerical equation because equations have equal signs in them such as 5 + 6 = 11

Answer:

it is a numerical expression

Step-by-step explanation:

it is not an algebraic equation because there are no variables say, p or q or any other variables attached or unattached to its coefficients. And no equal sign attached to it.

it is not an algebraic expression.

it is not a numerical equation because it has no equal sign neither is it equating itself to another.

finally, it is a numerical expression because it only consists of numbers and has no equal sign. Or it is not equating to any other solution.

Answer:

75 feet wide and 105 feet long

Step-by-step explanation:

By using the ration provided in the question we can see that for every inch that the scale model has, it equates to 15 feet in the actual building. Therefore in order to find the actual size of the building we can multiply the values of the model by 15 like so...

Wide: 5 * 15 = 75 feet

Long: 7 * 15 = 105 feet

Therefore we can see that the building is 75 feet wide and 105 feet long

Answer: (x + 3)(x + 3)

Answer:

(x + 3) ^2

Step-by-step explanation:

Answer:

Find the area of the semi circle with Diameter of 4

2π

6.3

Step-by-step explanation:

The area formula for semicircle is (πr^2)/2.

r=2 because radius is half of diameter.

(π(2)^2)/2, 2 squared= 4 and half of it is 2. = 2π

2π would round to the nearest tenths is 6.3.

The area of the semi circle with Diameter of 4 is, 6.28 unit².

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

Diameter of semicircle = 4

Now,

Radius of semicircle (r) = 4/2

                                   = 2

We know that;

⇒ Area of semicircle = πr

Where, 'r' is radius of circle.

Hence, The area of the semi circle with radius 2 is,

⇒ Area of semicircle = πr²/2

⇒ Area of semicircle = 3.14 × 2² / 2

⇒ Area of semicircle = 6.28 unit²

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Answer:

0.17 per ounce

Step-by-step explanation:

To find the price per ounce, divide the price by the number of ounces.

price/ number of ounces

A 2 pound bag costs $5.44. We need to find out how many ounces are in 2 pounds.

Each pound has 16 punches. Therefore, 2 pounds will have 32 ounces (16 ounces * 2 pounds=32 ounces).

Now we can find the price per ounce by dividing the price by the number of ounces.

price/ounces

We know the bag is 2 pounds, which is equal to 32 ounces. We also know the bag costs $5.44

price= $5.44

ounces= 32 ounces

$5.44/ 32 ounces

$0.17 / ounces

The asparagus costs 0.17 per ounce.

Answer:

The distance between park and museum is 12km.

Step-by-step explanation:

The ratio of map is 1cm : 4km. So you have to multiply by 4 :

[tex]1cm = 4km \\ 3cm = 4km \times 3 \\ 3cm = 12km[/tex]

12km

Step-by-step explanation:

explanation

change the improper fraction to proper fraction that is 2×5+2=12/5

2/3x= 12/5. (multiply both sides by the LCM of the denominators)that is by 15

2/3x×15=12/5×15 =

10x=36(divide both sides by 10)

x=3.6

answer

x=3.6

Answer:

1c 2b

Step-by-step explanation:

Answer:

1c 2b

Step-by-step explanation:

Answer:

5.83 = CD

Step-by-step explanation:

We can use the pythagorean theorem to solve

The legs are the x and y distances

x = (1- -4) = 5 units and y = 3 units

a^2+ b^2 = c^2

5^2 + 3^2 = c^2

25+9 = c^2

34 = c^2

Taking the square root of each side

sqrt(34) = c  which is the distance from C to D

5.830951895 = CD

5.83 = CD

Answer:

C. 5.83

Step-by-step explanation:

This is the correct answer I took the exam

Answer:x=2,-8

Step-by-step explanation:

X^2+6x-6-10=0

x2+6x-16=0

x2-2x+8x-16=0

X(x-2)+8(x-2)=0

(x+8)(x-2)=0

X-2=0 x+8=0

X=2,-8

Answer:

87.50%

Step-by-step explanation:

The increase in weight between December was Bennett was given birth to and the following March is the difference between the weight now and prior weight i.e 15 pounds -8 pounds=7 pounds

The % increase in weight =the increase in weight/initial weight

the increase in weight is 7 pounds

the initial weight was 8 pounds

the % increase in weight=7/8=87.50%

The percentage increase in weight is 87.50%  rounded to two decimal places

I assume that you meant circumference instead of circumstance as circumstance is not a math term.

Given that the circumference is 24,901, determine the diameter.

So, when we find the circumference of a circle. We multiply the diameter by pi (3.14).

However, if we want to find the diameter, we can reverse it by dividing by pi to get the diameter.

So, it would become:

D = C/pi

D = 24901/3.14

D = 7930.25

Thus, the diameter is 7,930.25 (insert units here).

Answer:

C= 2PiR

24901=2 x 22÷7 × R

44R÷7

24901 x 7=44R

174307=44R

R=174307÷44

R= Approx. 3962

D= 3962 x 2

D= 7924

Answer:

Solve the equation for  x  by finding  a ,  b , and  c

of the quadratic then applying the quadratic formula.

x = − 2  Double roots

Answer:

X=twenty four

Step-by-step explanation:

Answer:

if its referring to line rather than angle x should be 12

Step-by-step explanation:

Step-by-step explanation:

rs= 6x-18 +6

= 6x-12

12 = 6x

12/6 =x

x=2

rt= 8x-24

24=8x

24/8=x

3=x

i hope this helps u

Answer:

Hopeiit helped...

Please mark as brainliest...thanks!!!

Thanks!!!!!!!!!!!!

Step-by-step explanation:

Distance formula. Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

The Distance Formula is a variant of the Pythagorean Theorem that you used back in geometry. Here's how we get from the one to the other:

Suppose you're given the two points (–2, 1) and (1, 5), and they want you to find out how far apart they are.

You can draw in the lines that form a right-angled triangle, using these points as two of the corners:

It's easy to find the lengths of the horizontal and vertical sides of the right triangle: just subtract the x-values and the y-values:

Then use the Pythagorean Theorem to find the length of the third side (which is the hypotenuse of the right triangle):

This format always holds true. Given two points, you can always plot them, draw the right triangle, and then find the length of the hypotenuse. The length of the hypotenuse is the distance between the two points. Since this format always works, it can be turned into a formula:

Distance Formula: Given the two points (x1, y1) and (x2, y2), the distance d between these points is given by the formula:  d=√((x_2-x_1)²+(y_2-y_1)²)

Credits:

Distance formula | Analytic geometry (video) | Khan Academy

Purple Math

Answer:

a)c

Step-by-step explanation:

i dunno about b

35x – 13 x = x – 1

⇒ 22 x = x - 1

⇒ 22x - x = -1

⇒ 21x = -1

⇒ x = -1/21

Thus,the value of x is -1/21

Step-by-step explanation:

Combine like terms and get x by itself on one side of the equation.

[tex]35x - 13x = x - 1 \\ 22x - x = - 1 \\ 21x = - 1 \\ x = - \frac{1}{21} [/tex]

Answer:

[tex]x = - \frac{1}{21} [/tex]