The sides of ∠A are tangent to circle k(O) with radius r. Find: OA, if r=5 cm, m∠A=60°.

Answer:

a.) 1.38 seconds

b.) 17.59ft

Step-by-step explanation:

h(t) = -16t^2 + 22.08t + 6

if we were to graph this, the vertex of the function would be the point, which if we substituted into the function would give us the maximum height.

to find the vertex, since we are dealing with something called "quadratic form" ax^2+bx+c, we can use a formula to find the vertex

-b/2a

b=22.08

a=-16

-22.08/-16, we get 1.38 when the minuses cancel out. since our x is time, it will be 1.38 seconds

now since the vertex is 1.38, we can substitute 1.38 into the function to find the maximum height.

h(1.38)= -16(1.38)^2 + 22.08t + 6 -----> is maximum height.

approximately = 17.59ft -------> calculator used, and rounded to 2 significant figures.

for c the time can be equal to (69+sqrt(8511))/100, as the negative version would be incompatible since we are talking about time. or if you wanted a rounded decimal, approx 1.62 seconds.

Answer:

a) [tex]h(t)=-16(t-0.69)^2)+13.62[/tex]

b)The maximum height is 13.62 feet.

c) 1.84 seconds

Step-by-step explanation:

The function that models the height in feet of the hammer above the ground is

[tex]h(t)=-16t^2+22.08t+6[/tex]

Factor  -16 as shown;

[tex]h(t)=-16(t^2-1.38t)+6[/tex]

Add and subtract  the square of half the coefficient of t.

[tex]h(t)=-16(t^2-1.38t+(-0.69)^2)--16(-0.69)^2+6[/tex]

[tex]h(t)=-16(t^2-1.38t+(-0.69)^2)--16(-0.69)^2+6[/tex]

Rewrite the first three terms as a perfect square trinomial;

[tex]h(t)=-16(t-0.69)^2)+13.62[/tex]

This function is now in the form;

[tex]h(t)=a(t-h)^2)+k[/tex]

where (h,k)=(0.69,13.62)

This implies that; the hammer reached its maximum height at t=0.69 seconds.

b) The maximum height is the y-value of the vertex.

The maximum height is 13.62 feet.

c) To answer this question we need to find the difference between the  x-intercepts.

[tex]h(t)=-16t^2+22.08t+6[/tex]

a=-16,b=22.08,c=6

[tex]t_2-t_1=\sqrt{(t_1+t_2)^2-4t_1t_2}[/tex]

[tex]t_2-t_1=\sqrt{(\frac{-b}{a})^2-4(\frac{c}{a})}[/tex]

[tex]t_2-t_1=\sqrt{(\frac{-22}{-16})^2-4(\frac{-6}{-16})  }=1.84[/tex]

Hence the hammer was in the air for 1.84 seconds

Answer:

0.08

Please give me brainiest!

Trying to get up a rank <:)

Step-by-step explanation:

step 1 Address input parameters & values.

Input parameters & values:

The fraction number = 8/100

step 2 Write it as a decimal

8/100 = 0.08

0.08 is the decimal representation for 8/100

Answer:

0.08 Is the answer

Answer:

the correct answer would be A

Step-by-step explanation:

100 is the independent variable and 240 is the dependent variable think about is like interest rate

Answer:

the answer is 9x+7+ 4/x−5

Step-by-step explanation:

Answer:

If it's 7 1/2 hours, then the answer is $11 dollars an hour.

Answer:

$11 dollars an hour.

Step-by-step explanation:

Check the picture below.

Answer:

6.4

Step-by-step explanation:

5x = 32

Divide both sides by 5.

5x/5 = 32/5

x = 6.4

Divide by 5 on both sides.

5x divided by 5 leaves x alone.

32 divided by 5 is 6.4.

6.4 • 5 = 32

X = 6.4

Hope this helps!

13-4=9 and 7-4=3

9+3=12

So the probability is 12/29

Answer:

B

Step-by-step explanation:

The surface area (A) of a sphere is

A = 4πr² ← r is the radius which we require

Given A = 2500π, then

4πr² = 2500π ( divide both sides by 4π )

r² = 625 ( take the square root of both sides )

r = 25

The volume (V) of a sphere is

V = [tex]\frac{4}{3}[/tex]πr³, and

[tex]\frac{V}{\pi }[/tex] = [tex]\frac{4}{3}[/tex]r³ = [tex]\frac{4}{3}[/tex] × 25³ , thus

[tex]\frac{V}{\pi }[/tex] = [tex]\frac{4}{3}[/tex] × 15625 ≈ 20833.33.. → B

Answer:

C) 26π mi

Step-by-step explanation:

1. Find the diameter:

24² + 10² = d², because of the pythagorean theorem.

Add: 676 = d²

Square root: 26 = d, no negatives by domain

2. Find the circumference:

C = dπ

Plug in: C = 26π miles

Answer:

it is 1,3,and 5

Step-by-step explanation:

The statements that are true about the ramp is:

Clearly from the figure given to us we observe that:

[tex]Volume=Bh[/tex]

Also, for the triangular prism the base area is halved and hence the base area of triangular prism is: B/2

Hence, the total volume of Triangular prism is: [tex]\dfrac{1}{2}Bh[/tex]

Hence, the total volume of figure is:

[tex]Bh+\dfrac{Bh}{2}[/tex]

                        and h=4.8 ft.

                       Hence, volume of figure is:

[tex]4\times 4.8+\dfrac{4\times 4.8}{2}\\\\\\28.8 cubic ft.[/tex]

Answer:

The answer is 80%.

Step-by-step explanation:

During a certain day, a worker made 81 parts.

He usually does 45 parts per day.

Number of extra parts made = [tex]81-45=36[/tex]

The percent by which he increased the number of parts he usually makes can be given as = [tex]\frac{36}{45}\times100[/tex] = 80%

Therefore, on that day, the percent increased by 80%.

Answer:

Increase by 80%

Step-by-step explanation:

45 : 100%

81 : y

[tex]\frac{81}{45} :\frac{y}{100}[/tex]

y × 45 = 81 × 100

45y = 8100

45y ÷ 45 = 8100 ÷ 45

y = 180

180% - 100% = 80%

Increase by 80%

Answer:

It's 24

Step-by-step explanation:

18 apps already installed

2/3 of 18 is 12

12+12=24

24 applications have been installed.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

Given

18 apps already installed

2/3 of 18 = 12 are used

Additional 12 apps installed

Total = 12+12=24

To know more about algebraic expression refer to :

https://brainly.com/question/718520

#SPJ2

Answer:

D

Step-by-step explanation:

Note that 13 = 13[tex]x^{0}[/tex] since [tex]a^{0}[/tex] = 1

Then 13 is a monomial of degree 0 → D

Answer:

k= 2/3 2 over 3.

or 0.60%

Step-by-step explanation:

Answer:

0.04 or 1/25

Step-by-step explanation:

Note that 25^3  = 15625.

Then 15625k = 625.

Solve for k using division:

k =  625 / 15625 = 0.04

Note that we could also do the problem in this manner:

25 = 5^2

625 = 5^4

Therefore, 5^4 * k = 5^2

Dividing both sides by 5^4, we get:

         5^2                                          1

k = ------------ = 5^(2-4) = 5^(-2) or ---------- = 1/25 = 0.04 (same as before)

          5^4                                        5^2

[tex]

n=14 \\

y=2\times n +3=2\times14+3 \\

y=24+3\Longrightarrow y=\boxed{27}

[/tex]

both √25 and -√16 are rational

Answer:

A

Step-by-step explanation:

First, we know that angles 6 and 8 are supplementary.

Therefore m∠6 + m∠8 = 180°

123.5° + m∠8 = 180°

m∠8 = 56.5°

Then, using the alternating exterior angle theorem, we can find that...

m∠8 ≅ m∠1

So m∠1 = 56.5°

the answer to this question is A

Answer:

the answer is B.  4/3 cubic ft.

Step-by-step explanation:

use the formula

V = LWH

using 1/3 for each calculation

length = 3 (1/3 ft)

width = 4 (1/3 ft)

height = 3 (1/3 ft)

then you substitute those dimension

V = (3/3 ft.) (4/3 ft.) (3/3 ft.)

V = (1 ft.) (4/3 ft.) (1 ft.)

V = 4/3 cubic ft

Answer:

66yds^2

Step-by-step explanation:

Use the formula for the area of a triangle.

1/2(b * h)

Plug in the values.

1/2(11 * 12)

1/2(132)

66

Final answer:

To find the area of a shape, you multiply its length by its width. Different shapes have different formulas to calculate their areas, such as rectangles and triangles.

Explanation:

In mathematics, to find the area of a shape or region, you need to know the length and width of that shape. For example, to find the area of a rectangle, you multiply its length by its width. The formula for the area of a rectangle is A = length x width.

For example, if a rectangle has a length of 5 units and a width of 3 units, the area would be 5 x 3 = 15 square units.

If you have a shape that is not a rectangle, you may need to use a different formula. For example, to find the area of a triangle, you can use the formula A = 1/2 x base x height. The base is the length of the bottom side of the triangle, and the height is the distance from the base to the top point of the triangle.

Answer:

8861 : 9495

Step-by-step explanation:

Ratio of income in 2001 to 2003:

53,166 : 56,970

Then, you can simplify by dividing both sides by 6:

8,861 : 9,495

Can't simplify anymore, Therefore this is the answer!

8861 : 9495

Hope I helped! Have a good day :)

Answer:

[tex]\frac{8861}{9495}[/tex]

Step-by-step explanation:

Income of an individual in 2001 = [tex]\$ 53,166[/tex]

Income of an individual in 2003 = [tex]\$ 56,970[/tex]

Here, we need to find ratio of income in 2001 to the income in 2003 in simplest form .

i.e we need to convert [tex]\frac{\$53,166}{\$ 56,970}[/tex] in simplest form .

A fraction [tex]\frac{a}{b}[/tex] is said to be in simplest form if [tex]HCF(a,b)=1[/tex]

So, we will first find [tex]HCF(53166,56970)[/tex] then divide both numerator and denominator by the HCF .

Here,

[tex]53166=2\times 3\times 8861[/tex]

[tex]56970=2\times 3\times 3\times 3\times 5\times 211[/tex]

So, [tex]HCF(53166,56970)=2\times 3=6[/tex]

On dividing both numerator and denominator by 6 , we get

[tex]\frac{53166}{56970}=\frac{8861}{9495}[/tex]

Answer:

-140 and -8.

Step-by-step explanation:

These are all of the steps to completely and correctly solve this question.

Hope this helps!!!

Kyle.

Answer:

-8 and -140

Step-by-step explanation:

Let the numbers be x and y.  Then xy = 1120, and x + y = -148.

Solving the first equation for y, we get 1120/x.

Substituting this into the second equation:  x + 1120/x = -148

Multiplying all terms by x removes x from the denominator(s):

x² + 1120 + 148x = 0.

Let's use the quadratic formula to find x.  Here a = 1, b = 148 and c = 1120.

Then the discriminant is b²-4ac, or, in this case, 148²-4(1)(1120) = 17424.  Because this discriminant is positive, we have two real, unequal roots.

They are:

       -148 ± √17424

x = ------------------------ = -8 and -140.

              2

Note that -8 and -140 add up to -148, so that's correct.

(-8)(-140) = 1120, so that also is correct.

Answer:

Step-by-step explanation:

-5x - 3y= -7

+5x        +5x

-3y= 5x -7

------   ------

-3         -3

y=-5/3x + 7/3

Answer:

Square Root of 61

Step-by-step explanation:

Square root of 54

^u^

Answer:

D

Step-by-step explanation:

(f+g)(x)   basically means to "ADD" f(x) and g(x).

We have

[tex]f(x)=\frac{x}{2}-3[/tex]

and

[tex]g(x)=3x^2+x-6[/tex]

Now we simply add these two, adding like terms as shown below (and simplify):

[tex](f+g)(x)=f(x)+g(x)\\=(\frac{x}{2}-3)+(3x^2+x-6)\\=3x^2+\frac{1}{2}x+x-3-6\\=3x^2+\frac{3}{2}x-9[/tex]

Correct answer is D

Answer:

The line intercepts the y-axis and [tex]y = 8[/tex]

Step-by-step explanation:

The intersection on the y-axis of a line is found to be [tex]x = 0[/tex].

That is, the intercept with the y-axis is the value of the function when x is equal to zero.

In this case we know the following points of the function:

x  : -2    -1    0    1     2    3

y  : 16    12   8    4    0   -4

Note that when [tex]x = 0[/tex] then [tex]y = 8[/tex].

Therefore the line intercepts the y-axis and [tex]y = 8[/tex]

Answer: The difference between 82 and -40 is 122.

Step-by-step explanation:

To find out how much warmer 82 degrees is than -40 degrees, you add 40 to 82, which totals 122 degrees.

To determine how much warmer 82 degrees is compared to -40 degrees, we simply calculate the difference between the two temperatures. This is a simple calculation where we subtract the lower temperature from the higher temperature.

The calculation would be: 82 - (-40) = 82 + 40 = 122 degrees.

So, 82 degrees is 122 degrees warmer than -40 degrees. Note that this calculation assumes that the temperatures are measured on the same scale, which is typically Fahrenheit in the context of weather temperature changes in the United States.

Answer:

SAS Similarity Theorem

Step-by-step explanation:

Google SAS Similarity Theorem for explanation.

Answer:

[tex]10^{-p\left(t\right)}=t^{\left(0.5\right)}[/tex]

Step-by-step explanation:

Given equation is [tex]p\left(t\right)=-\log_{10}t^\left(0.5\right)[/tex]

Now question says to write that in exponential form.

So we can use the following conversion formula:

[tex]\log_ca=b\ \Rightarrow c^b=a[/tex]

[tex]p\left(t\right)=-\log_{10}t^\left(0.5\right)[/tex]

[tex]-p\left(t\right)=\log_{10}t^\left(0.5\right)[/tex]

[tex]\log_{10}t^\left(0.5\right)=-p\left(t\right)[/tex]

Apply conversion formula

[tex]p\left(t\right)=-\log_{10}t^\left(0.5\right)\ \Rightarrow 10^{-p\left(t\right)}=t^{\left(0.5\right)}[/tex]

[tex]10^{-p\left(t\right)}=t^{\left(0.5\right)}[/tex]

Answer:

Step-by-step explanation:

25,

V=lwh

So 5*5*5

125 in ^3