You are about to run up a set of 100 stairs. The diagonal distance up the 100 stairs is 62.5
feet and the angle of elevation from the base of the stairs to the top is
31
62.5 ft.
h
31°
What is the height difference from where you start to where you finish?
Round your answer to the nearest hundredth.
h=
feet

Answer:

3 miles

Step-by-step explanation:

  1.7      carry a one because 3+7 is 10

+ 1.3      

--------

 3.0

Answer:

3 miles

Step-by-step explanation:

Kelsey first walked to the park which took 1.7 miles. Then she walked an additional 1.3 miles to get to the cafe.

If we are only counting the amount of miles that she walked without going back home then we can do this simply by doing

1.7+1.3

0.7+0.3 = 1.0 so we carry the one and in total we get 1.0+1.0+1.0 to get 3.0 miles or in other words 3 miles!

Answer:

-12-6-(-2)

-12-6-+2

-18+2

-16

Hope This Helps!!!

Answer:

maybe it is corresponding

Answer:

d

Step-by-step explanation:

becaus ei did

Answer:

axis of symmetry , x = 0

Step-by-step explanation:

For the quadratic equation of the form [tex]ax^2 + bx + c[/tex],

the axis of symmetry is the straight line  [tex]x =- \frac{b}{2a}[/tex]

( i)  Given equation y = ax² + 0x + 0

     b = 0, therefore axis of symmetry is x = 0

( ii ) Second equation y = ax² + 0x + c

    b = 0, therefore axis of symmetry is x = 0

Answer:

(x-1)(x+8)=0

x=1

x=-8

Hope this helps

Answer:

hope this helps!! 790095543^&*((

Answer:

B

Step-by-step explanation:

Answer:

Divide the numerator by the denominator. 78 ÷ 5 = 15 with a remainder of 3.

Write down the whole number 15 and then write down the remainder as new numerator (3) above the denominator (5), As below : 15 35.

Answer:

[tex]15\frac{3}{5}[/tex]

Step-by-step explanation:

to prove the answer:

[tex]15\frac{3}{5}[/tex]

15*5+3/5

75+3/5

78/5

therefore ,[tex]15\frac{3}{5}[/tex] = 78/5

Answer:

48 length units

Step-by-step explanation:

area of each squre = 9

side length of each square = sqrt(9) = 3

Length of each side of grid = 4*3 = 12

Perimeter of grid = 4 sides = 4*12 = 48 length units

Given:

[tex]m\angle ACD=45^\circ[/tex]

Point B is the center of the base.

Each side of the base = 10 cm

To find:

The height of the pyramid.

Solution:

It is given that the measure of each side of the base is 10 cm. It means the base is square. The length of the diagonal of a square is:

[tex]d=a\sqrt{2}[/tex]

Where, a is the side length of the square.

Putting [tex]a=10[/tex] in the above formula, we get

[tex]d=10\sqrt{2}[/tex]

It is given that point B is the center of the base. It means point B bisect each diagonal of a base. So,

[tex]BC=\dfrac{d}{2}[/tex]

[tex]BC=\dfrac{10\sqrt{2}}{2}[/tex]

[tex]BC=5\sqrt{2}[/tex]

In a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In triangle ABC,

[tex]\tan (45^\circ)=\dfrac{AB}{BC}[/tex]

[tex]1=\dfrac{h}{5\sqrt{2}}[/tex]

[tex]5\sqrt{2}=h[/tex]

[tex]7.0710678=h[/tex]

Round the value to the nearest integer.

[tex]h\approx 7[/tex]

The height of the pyramid is about 7 cm. Therefore, the correct option is A.

Answer:

Independent

Step-by-step explanation:

Answer: A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.

Answer:

x=35

Step-by-step explanation:

because the angles are next to each other they are supplementary, which makes the total of the angle 180 degrees.

the equation would be:

180=x+14 +4x -9

add the like terms

180=5x =5

then subtract 5 from both sides

175=5x

then divide five from both sides

x=35

Answer:

Volume of a sphere- (4/3) x π x r3

(4/3) x 3.14 x 4 x 4 x 4

= (4/3) x 3.14 x 64

= 267.94

Answer:

[tex]a. \: \: x = {60}^{o} [/tex]

[tex]b. \: \: x = {24}^{o} [/tex]

Step-by-step explanation:

Sum of angles = 180°

[tex]a. \: \: {x}^{o} + {40}^{o} + {80}^{o} = {180}^{o} [/tex]

[tex] {x}^{o} + {120}^{o} = {180}^{o} [/tex]

[tex] {x}^{o} = {180}^{o} - {120}^{o} [/tex]

[tex] {x}^{o} = {60}^{o} [/tex]

[tex]b. \: 96+(x+12)+2x=180[/tex]

[tex]x+108+2x=180[/tex]

[tex]3x+108=180[/tex]

[tex]3x=180−108[/tex]

[tex]3x=72[/tex]

[tex]x = 24[/tex]

Answer:

Para encontrar la mediana: Organice los puntos de datos de menor a mayor. Si el número de puntos de datos es impar, la mediana es el punto de datos intermedio de la lista. Si el número de puntos de datos es par, la mediana es el promedio de los dos puntos de datos intermedios de la lista.

Step-by-step explanation:

que tenga un lindo día

Answer:

R = -8 1/6

Step-by-step explanation:

We'll solve the given equation for R.

Subtract 3 1/2 from both sides of the equation, to isolate R:

           R +  3 1/2  -  3 1/2 = -4 2/3  - 3 1/2, or

            R = -4 2/3 - 3 1/2

The LCD here is 6, which is the product of 3 and 2.  Converting the fractions to denominator 6, we get:

              R = -4 4/6 - 3 3/6, or

               R = -7 - 7/6, or R = -7 - 1 1/6, or -8 1/6

Answer:

A = 38,720 sq ft

Step-by-step explanation:

the formula requires you to multiply base and height; we know the base is 320 but do not know height (which is the perpendicular segment connecting both sides of 320 feet)

we can create a right triangle by drawing the height which will have a hypotenuse of 160 and we know the angle across from the height is 49° (180 minus twice 131, divided in half)

therefore, we can use the law of sines to find height:

sin 90°/1 = sin 49°/h

h = 160·sin 49° is approximately 121

A = 320 x 121 ≈ 38,720

Answer:

p^3  / q^12

Step-by-step explanation:

p^6 q^4

------------------

p^3 q^16

We know a^b / a^c = a^(b-c)

First with variable p

p^6 /  p ^3 = p^(6-3) = p^3

Then with variable q

q^4 / q^16 = q^(4-16) = q^-12  and a^-b = 1/ a^b = 1 /q^12

p^3 * 1/ q^12

p^3  / q^12

Answer:

q^12

Step-by-step explanation:

Answer:

A: (2 times 7)x^3 plus 4

Step-by-step explanation:

2 times 7 is 14 so 14 in the parentheses and then add 3 plus 4 equals 7.

14x^7.

Answer:

32780

Step-by-step explanation:

Answer:

32,780

Step-by-step explanation:

It should be 30,000

Answer:

Step-by-step explanation:

By using regression line calculator,

Equation of the line of best fit,

c). y = 0.74x + 0.03

Here, x = Number of pints

y = Weight in pounds

d). We have to find the weight of 10 pints of the blueberries,

By substituting x = 10 in the equation,

y = 0.74(10) + 0.03

y = 7.4 + 0.03

y = 7.43 pounds

e). If per pound cost of the blueberries = $2.25

By substituting y = 2.25 in the equation,

2.25 = 0.74x + 0.03

x = [tex]\frac{2.22}{0.74}[/tex]

x = $3.00 per pound

Therefore, cost of 10 pounds blueberries = 3 × 10

                                                                     = $30

Answer: 2/5

Step-by-step explanation:

There are 15 total marbles in the bag. 12 are blue, with only 6 made from plastic. 6/15 reduced is 2/5

Answer:

x = (n-h)/j

Step-by-step explanation:

n = jx + h

Subtract h from each side

n-h = jx+h-h

n-h = jx

Divide by j

(n-h)/j = jx/j

(n-h)/j = x

Answer:

x = [tex]\frac{n-h}{j}[/tex]

Step-by-step explanation:

Given

n = jx + h ( subtract h from both sides )

n - h = jx ( isolate x by dividing both sides by j )

[tex]\frac{n-h}{j}[/tex] = x

Answer:

x = 82°

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral are supplementary, sum to 180°

x + 98° = 180° ( subtract 98° from both sides )

x = 82°

Answer:

Step-by-step explanation:

Radicals and imaginary numbers ALWAYS come in pairs when it comes to factors of polynomials. This is the called the conjugate theorem. If we are given a solution/root/zero that is

x = 3 + √5, then its conjugate is x = 3 - √5. Going backwards from the solution to the factor, we utilize the Zero Product Property and get

(x - (3 - √5)) which simplifies to (x - 3 + √5). if you are looking for the conjugate of the given zero, the choice you want is the second one down.

Answer:

910 millibars

Step-by-step explanation:

According to the Question,

Now, the air pressure at the center of a hurricane when the mean sustained wind velocity is 64 m/s is

[tex]64=6.3*\sqrt{1013-p}\\\frac{64}{6.3} = \sqrt{1013-p}\\[/tex]

on squaring both sides we get,

(10.1587)² = 1012 - p  ⇒ p = 908.80≈910millibar

p = 910millibars air pressure .

Answer: 910

Step-by-step explanation: Did the review and got it right

The graph A , graph C, could not possibly be density curves for a continuous random variable is they were provided with the right scale.

Given four graphs of different nature as options.

We are required to find the graph that is not continuous variable.

Continuous lines are those lines which when decreases, decreases with continuity and when increases,increases with continuity.

When we observe the graph A,graph C. In these graphs the value of function keeps increasing and decreasing a lot and not in continuity.

Hence graph A, graph C could not possibly be density curves for a continuous random variable is they were provided with the right scale.

Learn more about continuity at https://brainly.com/question/24637240

#SPJ1

Answer:

The answer is A, D, and E.

Step-by-step explanation:

Answer:

$3,700

Step-by-step explanation:

1,295/7=185

185x4=740

185x9=1,665

740+1,295+1,665=3,700

Hope this helps! :)

Answer:

3,700

Step-by-step explanation:

hope this helps alot

Answer:

Step-by-step explanation:

In Δ AFB,

∠AFB + ∠ABF + ∠A = 180   {Angle sum property of triangle}

90 + 48 + ∠1 = 180

       138 + ∠1 = 180

                 ∠1 = 180 - 138

∠1 = 42°

FC // ED and FD is transversal

So, ∠CFD ≅∠EDF   {Alternate interior angles are congruent}

     ∠2 = 39°

In ΔFCD,

∠2 + ∠3 + ∠FCD = 180

39 + ∠3 + 90 = 180

         129 +∠3 = 180

                   ∠3 = 180- 129

∠3 = 51°    

Answer:

(5,4) & (8,-10)

Step-by-step explanation:

First step:

[tex]y=mx+b[/tex]

You can use any number you want for b (I used 4)

[tex]y=-\frac{4}{5} x+4[/tex]

Make x=0

[tex]y=-\frac{4}{5} (0)+4[/tex]

[tex]y=4[/tex]

Make y=0

[tex]0=-\frac{4}{5} x+4[/tex]

Subtract 4 from both sides

[tex]-4=-\frac{4}{5} x[/tex]

Divide both sides by [tex]-\frac{4}{5}[/tex]

[tex]x=5[/tex]

Second step:

In order to make a line perpendicular to another the slope of the second line will be the negative inverse of the first line. So  [tex]m=-\frac{4}{5}[/tex] will be [tex]m=\frac{5}{4}[/tex] for the second line.

Then you just need to repeat the process in first step to get the intercepts. (Again I used a random number like -10 for b)