What is the area of this shape?

Answer:

The maximum height attained by the rocket is 240.1 m.

Step-by-step explanation:

The height above the ground is a function of time t is given by :

[tex]h= -4.9t^2 + 68.6t[/tex] ...(1)

We need to find the maximum height of the model. First we find the time of max height using axis of symmetry of the equation as follows :

[tex]x=\dfrac{-b}{2a}[/tex]

We have, a = -4.9 and b = 68.6

So,

[tex]t=\dfrac{-(68.6)}{2\times -4.9}\\\\=7\ s[/tex]

Put t = 7 in equation (1)

[tex]h= -4.9(7)^2 + 68.6(7)\\\\=240.1\ m[/tex]

So, the maximum height attained by the rocket is 240.1 m.

Answer:

Class 7A collected 4.8 ounces of pure gold.

Step-by-step explanation:

Key skills required are: Percentages, Multiplication

Here we have to do 12% x 40 to find the number of oz of pure gold. We first have to convert 12% into a decimal. Divide it by a 100 (or move the decimal point 2 places to the left) and you will get 0.12.

Do 0.12 x 40 and you will get 4.8

Therefore, there are 4.8 oz of pure gold in Class 7A's gold sand

Given:

[tex]\sf \dfrac{a\ -\ 3b}{a\ +\ 2b}\ =\ \dfrac{4}{3}[/tex]

To find: The value of a:b.

Answer:

[tex]\sf \dfrac{a\ -\ 3b}{a\ +\ 2b}\ =\ \dfrac{4}{3}[/tex]

Cross-multilpying,

[tex]\sf 3\ \times\ (a\ -\ 3b)\ =\ 4\ \times\ (a\ +\ 2b)\\\\3a\ -\ 9b\ =\ 4a\ +\ 8b[/tex]

Bringing the like terms together,

[tex]\sf 3a\ -\ 4a\ =\ 8b\ +\ 9b\\\\\\-a\ =\ 17b\\\\\\\dfrac{-a}{b}\ =\ 17\\\\\\\dfrac{a}{b}\ =\ -17[/tex]

Therefore, a:b = -17.

Answer:

The area of the polygon is 92.75 cm^2

Step-by-step explanation:

To find the area of the polygon, we simply add up the areas of the constituent triangles

At any point in time;

Area of a triangle = 1/2 * base * height

So we proceed as follows;

(1/2 * 12 * 4.5) + (1/2 * 12 * 5)

= 27 + 30 = 57 cm^2

There is a last triangle with 12 cm and 5 cm as the sides and we need the length of the hypotenuse

The length of the hypotenuse for that triangle will be 13 cm. This is because 5,12 and 13 are Pythagorean triple and they form the sides of a right-angled triangle

So for the last triangle, the area will be;

1/2 * 13 * 5.5 = 35.75 cm^2

So the total area is;

35.75 + 57 = 92.75 cm^2

Answer:

An equation of the line that passes through the point (6,−4) and is perpendicular to the line will be:

Step-by-step explanation:

We know that the slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the line

[tex]2x-y=5[/tex]

converting the line into slope-intercept form

y = 2x-5

comparing with the slope-intercept form of the line equation

The slope of the line = m = 2

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = 2

Thus, the equation of new line = – 1/m = -1/2 = -1/2

using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = -1/2 and the point (6,−4)

[tex]y-\left(-4\right)=-\frac{1}{2}\left(x-6\right)[/tex]

[tex]y+4=-\frac{1}{2}\left(x-6\right)[/tex]

Subtract 4 from both sides

[tex]y+4-4=-\frac{1}{2}\left(x-6\right)-4[/tex]

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

Therefore, an equation of the line that passes through the point (6,−4) and is perpendicular to the line will be:

An equation of the line  that passes through the point (6,−4) and is perpendicular to the line 2x−y=5 is [tex]y=-\frac{1}{2}x-1[/tex]

Given:

An equation of the line that passes through the point (6,−4) and is perpendicular to the line 2x−y=5

First we find the slope of given equation 2x-y=5

y=mx+b is the equation of the line . where 'm' is the slope

[tex]2x-y=5\\2x-5=y\\y=2x-5[/tex]

Slope m=2.

Slope of perpendicular lines are negative reciprocal of one another

Slope of perpendicular line is [tex]-\frac{1}{2}[/tex]

The line passes through the point (6,-4)

Use the point and slope to get the equation of the perpendicular line

slope m = [tex]-\frac{1}{2}[/tex]

Point slope form of line is

[tex]y-y_1=m(x-x_1)\\y+4=-\frac{1}{2}(x-6)\\y+4=-\frac{1}{2}x+3\\y=-\frac{1}{2}x-1[/tex]

An equation of the line  that passes through the point (6,−4) and is perpendicular to the line 2x−y=5 is [tex]y=-\frac{1}{2}x-1[/tex]

Learn more : brainly.com/question/19864665

Answer:

The expression equivalent to 8 - (6r + 2) is -6r + 6 ⇒ A

Step-by-step explanation:

Let us solve the question

∵ The expression is 8 - (6r + 2)

→ Multiply the bracket by (-)

∵ (-) × (+) = (-)

∴ 8 - (6r + 2) = 8 - 6r - 2

→ Add the like terms

∵ 8 - (6r + 2) = (8 - 2) - 6r

∴ 8 - (6r + 2) = 6 - 6r

→ Switch the terms

∴ 8 - (6r + 2) = -6r + 6

∴ The expression equivalent to 8 - (6r + 2) is -6r + 6

Answer:

Total cost= 15.25*[(12*3)/8]

Step-by-step explanation:

The expression would be:

Total cost= 15.25*[(12*3)/8]

Prove:

Number of slices= 12 people*3 slices

Number of slices= 36

Number fo pizzas= number of slices/8

Number of pizzas= 36/8

Number of pizzas= 4.5 = 5 pizzas

Now, the total cost:

Total cost= number of pizzas*unitary cost

Total cost= 5*15.25

Total cost= $76.25

Answer:

125

Step-by-step explanation:

Answer:

is the any options?

Step-by-step explanation:

P^12-2t^7-7r^2-1

p^10r

you just substracting

Answer: Slope: -1    Y-intercept: -4

Step-by-step explanation:

Slope formula:

[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]m=\frac{-13 -(-6)}{9-2}= m=\frac{-13 + 6}{9-2}[/tex]  

[tex]m=\frac{-7}{7\\}[/tex]

m = -1

When you draw this on the graph, the y-intercept is -4.

y = -4

Answer: 2. a colorful fusion of Arab and Christian customs, art, and religious practices.

Step-by-step explanation:

My history teacher mentioned this in class.

Answer:

Step-by-step explanation:

3×(5)^2 - 4×2 + 2×2×5

3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 20

3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 2075 + 20 - 8

3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 2075 + 20 - 8 95-8

3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 2075 + 20 - 8 95-887

Answer: I hope I got it right. You can mark brainliest if you want. I don't really care.

Step-by-step explanation:

Well, it seems that for every week, Pragitha swims x + 2 laps. So if she swims x + 2 laps twice, she will get 2x + 4. So x is equal to 4. You add that four and you get three x. So for one week, she swims x + 2 laps and for the second lap, she swims 2x + 4. Which according to the table, is equal to 3x. So for 3 weeks, she clearly swims less, because maybe she's tired or something. So it's 2x+1. And for week 4, it's week one and week 2 combined.

The expression on the other hand is

10x + 9

Given :

Each morning a gardener uses 25 gallons of water from a barrel.

Each afternoon, she adds 15 gallons of water to the barrel.

To Find :

By how much has the volume of water in the barrel changed after 5 days.

Solution :

Amount of of water used from the barrel per day is :

A = 25 - 15 gallons

A = 10 gallons

Now, volume of water in the barrel changed after 5 days is :

V = A × 5 gallons

V = 10 × 5 gallons

V = 50 gallons

Therefore, volume of water in barrel is changed by 50 gallons.

Answer:

Step-by-step explanation:

Simplifying

(9x + 5) + -1(4x + 3) = 0

Reorder the terms:

(5 + 9x) + -1(4x + 3) = 0

Remove parenthesis around (5 + 9x)

5 + 9x + -1(4x + 3) = 0

Reorder the terms:

5 + 9x + -1(3 + 4x) = 0

5 + 9x + (3 * -1 + 4x * -1) = 0

5 + 9x + (-3 + -4x) = 0

Reorder the terms:

5 + -3 + 9x + -4x = 0

Combine like terms: 5 + -3 = 2

2 + 9x + -4x = 0

Combine like terms: 9x + -4x = 5x

2 + 5x = 0

Solving

2 + 5x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.

2 + -2 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0

0 + 5x = 0 + -2

5x = 0 + -2

Combine like terms: 0 + -2 = -2

5x = -2

Divide each side by '5'.

x = -0.4

Simplifying

x = -0.4

easy boy

Answer:

Hence the simplified form has has 1 term and a degree of 4

Step-by-step explanation:

Given the expression

3j⁴k - 2jk³+jk³-2j⁴k+jk³

Collect like terms

= 3j⁴k-2j⁴k- 2jk³+jk³+jk³

= j⁴k- 2jk³+jk³+2jk³

= -j⁴k-2jk³+2jk³

= - jk⁴

Hence the simplified form has has 1 term and a degree of 4

Answer:

It has 1 term and a degree of 5.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Trapezoid area formula:

Substitute values:

Answer:

Answer: A

Step-by-step explanation:

The cos(theta) = adjacent / hypotenuse

The cos(theta) = 4/5

cos(theta) = 0.8

theta = cos^-1 (0.8)

theta = 36.9

theta = A

The number of strawberry baskets sold was 44

Step-by-step explanation:

Let

x ----> the number of strawberry baskets sold

y ---> the number of raspberries baskets sold

we know that

In one morning, Katya sells 96 baskets for $644

so

----> equation A

---> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (44.52)

see the attached figure

therefore

The number of strawberry baskets sold was 44 and the number of raspberries baskets sold was 52

Hope i helped! :)

Answers:

======================================================

Explanation:

The piecewise function f(x) changes based on what the input is.

We have two cases:

The input x = -3 satisfies the inequality [tex]x \le 4[/tex], so we go with case B for this input

f(x) = 2x

f(-3) = 2(-3)

f(-3) = -6

In contrast, the input x = 7 satisfies the inequality x > 4. So we go for case A this time.

f(x) = 3x-1

f(7) = 3(7)-1

f(7) = 21-1

f(7) = 20

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

Side note: It might be better to let g(x) = 3x-1 and h(x) = 2x. Then we could further say "If x > 4, then f(x) = g(x) OR if [tex]x \le 4[/tex], then f(x) = h(x)". Though this might be a more wordy definition.

Answer:

1140

Step-by-step explanation:

A decagon has 10 sides so substitute it like this:

(n-2) x 180

(10-2) x 180

8 x 180= 1140

Answer:

-2m -12n

Step-by-step explanation:

-8m -8n +6m-4n

Step-by-step explanation:

= -8m-8n+6m-4n

= -8m+6m-8n-4n

= -2m-12n

hope it helps.