Serena hits a tennis ball downward from the top of the net at which the angle of
depression is 20°. If the net is 0.9 m high, how far from the net does the ball land to
the nearest tenth of a metre?

There are 5280 feet to 1 mile, and 3600 seconds to 1 hour. So

(25 mi/h) × (5280 ft/mi) × (1/3600 h/s) = 110/3 ft/s ≈ 36.7 ft/s

Hi

1 mile is 5280 feet.  

1 hours is 3 600 seconds  

So 25 mi/h  is   25* 5280   = 132 000 feets in 3 600 seconds.

So  :   132 000 /3 600 =   1 320 / 36 =36.66

25 mi/h≈ 36.6666 ft/s

Answer:

D, F, E

Step-by-step explanation:

As the legs and hypotenuse are equal, HL can be used. All the sides are equal so SSS can be used. Two pair of sides and 90 degrees are equal so SAS can be used

Answer:

x=9

Step-by-step explanation:

.5x+.7 = .3x+2.5

     -.7   -.3x

.2x=1.8

/.2    /.2

x=9

.5(9)+.7=5.2

.3(9)+2.5=5.2

Answer:

-12

Step-by-step explanation:

The average rate of change is found by

f(4) - f(2)

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

4-2

32 - 56

----------

4-2

-24

------

2

-12

Answer:

Part one:

In terms of price;

[tex]2x + \frac{5}{2} y = 19 \\ \\ 4x + 5y = 38 - - - (equation \: \: 1)[/tex]

In terms of people, each person will get one snack:

[tex]x + y = 8 - - - (equation \: \: 2)[/tex]

Part two:

[tex]in \: equation \: 2 : \\ x = 8 - y \\ substitute \: for \: x \: in \: 1 : \\ 4(8 - y) + 5y = 38 \\ 32 - 4y + 5y = 38 \\ y = 6 \\ \\ therefore : x = 2[/tex]

Sam bought 2 bags of chips

Hi

5x²-x-4 = 0  

Δ= (-1)² - 4*5*(-4)

Δ =  1 -4*-20

Δ = 1  +80

Δ = 81  

√Δ=  9

as Δ ≥ 0 , so 2 solutions exist in R

S1 is :    ( 1+9) /2*5  =   10/10 = 1

s2 =      (1 -9)/2*5 =  -8/10 = -4*2 /2*5  = -4/5

Corrects answers are  A  and  D

Answer:

A. -4/5 And D. 1

Step-by-step explanation:

i just got it right

Answer:

[tex]2[/tex]

4th Answer is Correct

Step-by-step explanation:

[tex] - \frac{3}{4} + 2 \frac{3}{4} \\ \frac{ - 3}{4} + \frac{11}{4} \\ \frac{ - 3 + 11}{4} \\ = \frac{8}{4} \\ = 2[/tex]

Answer:

definetely 2

Step-by-step explanation:

Answer:

Less than

Step-by-step explanation:

Five ones and eight tenths simplifies to 85 and fifty eight tenths simplifies to 580. So, here you can clearly see 85 < 580.

Hope this helps! :)

Answer:

3/2

Step-by-step explanation:

the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

so, when we have 2 points, we can look at the difference of the x and y coordinates. y difference / x difference is the slope.

going from (3, 4) to (5, 7) changes x by +2 and y by +3.

so, the slope of the line is 3/2

Answer:

l=30

or

22 it is the coret anser

Answer:

97

Step-by-step explanation:

Since S is the midpoint of RT, and when you split the line into two you'd get two distances that are equidistant. Therefore, you can make the two distances into an equation. When combined together, the result will be the total length of the line.

5x + 17 = 8x - 31

Now simply just solve for "x"

5x + 17 = 8x - 31

5x + 48 = 8x

48 = 3x

48/3 = 3x/3

16 = x

Once you get x, plug it into the equation "RS = 5x + 17"

5(16) + 17

80 + 17

97, which is our final answer.

Answer:

Step-by-step explanation:

[tex] {32}^{ \frac{1}{5} } [/tex]

[tex] = \sqrt[5]{32} [/tex]

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

= 2 (Ans)

Answer: Option B

She should use the fact that the

opposite sides of a parallelogram are

congruent and then use the

Pythagorean theorem.

We cannot use the diagonals of square property because this is a rectangle, opposite angles will also not work, and we cannot use the diagonal property because thats what we have to prove.

Must click thanks and mark brainliest

Answer:

root 3/4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

distance = speed × time = 30 × 4 = 120 Km → B

Answer:

Length of x+3= 6.75

Length of 4x=15

Length of 3x-1=10,25

Step-by-step explanation:

Answer:

12.6

Step-by-step explanation:

use pi r squared to get the answer

Answer:

12.6 cm^2

Step-by-step explanation:

Diameter of circle=4 cm

Radius of circle=2 cm

Area of the circle=pi*r^2=pi*4=12.6 cm^2

Answer:

81/10

Step-by-step explanation:

Answer:

[tex]13\ units[/tex]

Step-by-step explanation:

One is asked to find the distance between two points on a coordinate plane. The easiest way to do so is to use the distance formula, this formula is the following:

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2[/tex]

Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the points which one needs to find the distance between. In this case, these points are as follows:

[tex]k\ (-3,5)[/tex]

[tex]j\ (-8, -7)[/tex]

Substitute these points into the formula and solve for the distance between these points,

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2[/tex]

[tex]D=\sqrt{((-3)-(-8))^2+((5)-(-7))^2[/tex]

Simplify,

[tex]D=\sqrt{((-3)-(-8))^2+((5)-(-7))^2[/tex]

[tex]D=\sqrt{(-3+8)^2+(5+7)^2[/tex]

[tex]D=\sqrt{(5)^2+(12)^2[/tex]

[tex]D=\sqrt{25+144}[/tex]

[tex]D=\sqrt{169}[/tex]

[tex]D=13[/tex]

Answer:

Step-by-step explanation:

For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?

Answer:

B.) 3

Step-by-step explanation:

Interest = prinipical ^ interest rate ^ year

60 = 400 ^ 5% ^ year

year = 60/400^5%

3years

Answer:

A^7

Step-by-step explanation:

Step-by-step explanation:

< i'll use this too represent angle

this is only presuming that this is a parallelogram and i also don't know what those numbers mean

< ACB = < CAD         (alt <s of DA II CB)             A

< ACD = < CAB        (alt <s of DC II AB)              A

AB is common                                                     S

therefore, ∆ADC is congruent to ∆CBA

if ∆ADC is congruent to ∆CBA

then < ADC = < CBA

Answer:

x=2  true solution

x=-3 extraneous

Step-by-step explanation:

sqrt(x+7) -1 = x

Add 1 to each side

sqrt(x+7) -1+1 = x+1

sqrt(x+7)  = x+1

Square each side

(sqrt(x+7))^2  = (x+1)^2

x+7 = x^2 +2x+1

Subtract x from each side

7 = x^2 +x +1

Subtract 7 from each side

0 = x^2 +x - 6

Factor

0 = (x+3)(x-2)

Using the zero product property

x+3 = 0   x-2 =0

x=-3  x=2

Check solutions

x=-3

sqrt(-3+7) -1 = -3

sqrt(4) -1 = -3

3 =-3  extraneous

x=2

sqrt(2+7) -1 = 2

sqrt(9) -1 = 2

3 -1 =2

2 =2  true

Answer:

1. 4a^2 + 4a + 1

2 9b^2 + 12bc + 4c^2

3 4p^4 + 12p^2q^2 + 9q^4

Step-by-step explanation:

Answer:

15u = 135

Divide both sides by 15

u = 135/15 = 9

U is equal to 9

Hope this helps!

[tex]15 \times 4 = 135 \\ divide \: both \: sides \: of \: equcation \\ by \: 15 \\ \frac{15u}{15} = \frac{135}{15} \\ u = \frac{135}{15} \\ u = 9[/tex]

Let the no be x

ATQ

[tex]\\ \sf\longmapsto 2x+5=13[/tex]

[tex]\\ \sf\longmapsto 2x=13-5[/tex]

[tex]\\ \sf\longmapsto 2x=8[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{8}{2}[/tex]

[tex]\\ \sf\longmapsto x=4[/tex]