An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t) = 144 – 16t2.

Answer:

b. 4m+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

(b − 7)(b + 3). SOLUTION: 4. (4n + 3)(n + 9). SOLUTION: 5. (8h − 1)(2h − 3) ... (m. 2. − 5m + 4)(m. 2. + 7m − 3). SOLUTION: 28. (x. 2. + 5x − 1)(5x. 2. − 6x + 1) ... The value of x must be greater than 4. If x = 4 ... c. SYMBOLIC For a sum of the form a + b, write an expression for the square of the sum. ... Then, for five days,.

Answer:

Step-by-step explanation:

Question 13.

By applying cosine rule,

cos(45°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{\sqrt{2} }=\frac{10}{y}[/tex]

y = 10√2

By applying sine rule,

sin(45°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{\sqrt{2} }=\frac{x}{y}[/tex]

[tex]\frac{1}{\sqrt{2} }=\frac{x}{10\sqrt{2} }[/tex]

x = 10

Question 15.

By applying sine rule,

sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{y}{32}[/tex]

y = 16√3

By applying cosine rule,

cos(60°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{2}=\frac{x}{32}[/tex]

x = 16

Question 17.

By applying sine rule,

sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{11\sqrt{3} }{y}[/tex]

y = 22

By applying cosine rule,

cos(60°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{2}=\frac{x}{y}[/tex]

[tex]\frac{1}{2}=\frac{x}{22}[/tex]

x = 11

Answer:

∠PSR=90°

m∠QSR= 90-m∠QSP

x= 90-58=32°

Step-by-step explanation:

The actual value of the x is 32°.

Quadrilaterals are four sided polygons which also have four vertices and four angles.

Sum of all the interior angles of a quadrilateral is 360 degrees.

Given quadrilateral is a rectangle.

All the four interior angles of a rectangle is perpendicular angle or is 90 degrees.

So measure of ∠PSR = 90°

m ∠QSR + m ∠QSP = 90°

Given that m ∠QSP = 58°

Substituting,

m ∠QSR + 58° = 90°

m ∠QSR = 90° - 58°

              = 32°

So x° = 32°

Hence the error is that both the angles are made to be equal instead of making the sum of the angles equal to 90°.

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Answer:

It's D

Step-by-step explanation:

answer of this question:

8

Step-by-step explanation:

$20÷$2.50

=8

:)

Answer: The initial value for Z= 8 * 3w is 8 and the growth factor for it is 3. The initial value for A= 6(2.5)t is 6 and the growth factor for it is 2.5.

Step-by-step explanation: Exponential growth equations.

Answer:

80 tsp.

Step-by-step explanation:

400 divided by 5 is 80, so 80 tsp's.

Answer:

80 tsp.

Step-by-step explanation:

400 mL = 80 tsp

Answer:

26 , 10 , 3

Step-by-step explanation:

Any number larger than 2 will work.

Answer:

a

Step-by-step explanation:

the 5y and the negative one cancel each other out. add the rest together you end up with 5x=-15. and divide each side by 5. you'll end up with x=-3

Answer:

646.0 cm^3

Step-by-step explanation:

The volume of this cube with side length 8 cm is (8 cm)^3, or 512 cm^3.

The volume of the hemisphere (half sphere) is

V = (1/2)(4/3)(pi)(4 cm)^3                     (since half of the diameter, 8 cm,

V = (2/3)(3.14)(64 cm^3), or                   is the radius)

V = 133.86 cm^3, or approximately 133.9 cm^3.

The volume of the entire solid is (512 + 133.9) cm^3, or 646.0 cm^3

Answer:

22.8906 sq in

Step-by-step explanation:

SA of a sphere = 4 π [tex]r^{2}[/tex]

r = 2.7 / 2 = 1.35

4 x 3.14 x [tex]1.35^{2}[/tex] = 22.8906

Answer:

Surface Area varies by object/shape.

Ask your teacher/learning helper for those formulas of surface area

Step-by-step explanation:

Surface area is the sum of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Answer: 64/81=8/9 is that what you trying to say. O and the answer is False

Step-by-step explanation: Hope this help :D

Answer:

[tex]\boxed {\boxed {\sf 53}}[/tex]

Step-by-step explanation:

This is a stem and leaf plot, so the stem represents the first digit, while the leaf is the last digit.

The first stem is 0, with a leaf of 4. Therefore,

The last stem is 5, with 2 leaves: 6 and 7. We want to find the largest number, so we will use 7.

The range is the difference between the largest and smallest number. The largest number is 57 and the smallest is 4.

The range is 53.

Answer:

28

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

Answer: 5^2 + 4^3 - 21= 68

Answer:

75%

Step-by-step explanation:

54/72 = 0.75

Answer:

1) Let the dimensions be x for greater size and 1 for unit size

Product is:

Factors are:

2)

Product is:

Factors are:

Answer:

8,088.8

Step-by-step explanation:

Answer:

9 - 166.42m²

10 - 308.8cm²

Step-by-step explanation:

The first figure shown is a triangular prism

We can find the surface area using this formula

[tex]SA=bh+L(S_1+S_2+h)[/tex]

where

B = base length

H = height

L = length

S1 = base length

S2 = slant height ( base's hypotenuse )

The triangular prism has the following dimensions

Base Length = 4m

Height = 5.7m

Length = 8.6m

S1 = 4m

S2 = 7m

Having found the needed dimensions we plug them into the formula

SA = ( 4 * 5.7 ) + 8.6 ( 4 + 7 + 5.7 )

4 * 5.7 = 22.8

4 + 7 + 5.7 = 16.7

8.6 * 16.7 = 143.62

22.8 + 143.62 = 166.42

Hence the surface area of the triangular prism is 166.42m²

The second figure shown is a pyramid

The surface area of a pyramid can be found using this formula

[tex]SA = A+\frac{1}{2} ps[/tex]

Where

A = Area of base

p = perimeter of base

s = slant height

The base of the pyramid is a square so we can easily find the area of the base by multiplying the base length by itself

So A = 8 * 8

8 * 8 = 64

So the area of the base (A) is equal to 64 cm^2

The perimeter of the base can easily be found by multiplying the base length by 4

So p = 4 * 8

4 * 8 = 32 so p = 32

The slant height is already given (15.3 cm)

Now that we have found everything needed we plug in the values into the formula

SA = 64 + 1/2 32 * 15.3

1/2 * 32 = 16

16 * 15.3 = 244.8

244.8 + 64 = 308.8

Hence the surface area of the pyramid is 308.8cm²

Answer:

$5934

Step-by-step explanation:

Answer:

Forgot the pic ?

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

4 is choice C. THis is because the y intercept is 1 and when you go up 2 units, and go right once, you go to another point (rise over run)

Step-by-step explanation:

Answer:

Circumference = 2(pi)r

C = 2*3.14*4.0= 25.12 round 25.10 m

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

you do 209-153=56

Number of economy seats are 181

An equation between two variables that gives a straight line when plotted on a graph

Consider,

Number of economy seats =x

Number of First class seats =y

There are 209  total seats on the airplane

Then,

x + y=209

Difference between the number of economy and first class seats is 153

x - y=153

Solve both the equation

x + y=209

x = 209-y

Substitute the value of x in second equation

(209-y) - y=153

2y=209-153=56

y=28

Then

x + y=209

x + 28=209

x=209-28

x=181

Hence, the number of economy seats are 181

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Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

0.206896552 rounded to the nearest tenth is 0.2 (The 0 in the hundredths place rounds down)

To find 0.2 as a percentage simply multiply it by 100

0.2*100=20%

Answer:

6/ y^8

Step-by-step explanation: