two and one-third times two and three-fourths.

The perimeter of the figure above is \(43\frac{22}{40} = 43\frac{11}{20}\)

The perimeter of a shape is the sum of the whole sides.

Therefore, perimeter of the figure is the addition of the whole length.

Hence,

perimeter = \(14\frac{3}{4}+4\frac{1}{2}+8\frac{1}{2}+10\frac{2}{5}+10\frac{2}{5}+12\frac{4}{5}\)

let's convert to improper fraction for easy calculation.

Hence,

perimeter = \(\frac{59}{4}+\frac{9}{2}+\frac{17}{2}+\frac{52}{5}+\frac{52}{5}+\frac{64}{5}\)

perimeter = \(\frac{590+180+340+60+60+512}{40} =\frac{1742}{40} = 43\frac{22}{40}\)

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Answer:

4 1/3

Step-by-step explanation:

7.50x-6.25=26.25

7.5x=26.25+6.25

=32.5

x=32.5÷7.5

=4 1/3

Answer:

4.33333333333 or 4 1/3

Step-by-step explanation:

Inverse operations

26.25 + 6.25 = 32.5

32.5 Divided by 7.50 = 4.33333333333

Answer = 4.33333333333

The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.

The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:

h = -4.9(t² - 5.6t) + 0.584

Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:

h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584

Simplifying, we get:

h = -4.9((t - 2.8)² - 2.8²) + 0.584

Expanding further:

h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584

Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328

b) The ball's height when it was hit can be found by evaluating the equation at t = 0:

h = -4.9(0 - 2.8)² + 34.328

h = -4.9(-2.8)² + 4.328

h = -4.9(7.84) + 34.328

h ≈ 0.784 meters

To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.

The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:

0 = -4.9(t - 2.8)² + 34.328

4.9(t - 2.8)² = 34.328

(t - 2.8)² ≈ 7

t - 2.8 ≈ ±√7

t ≈ 2.8 ± √7

Since time cannot be negative in this context, we can ignore the negative value.

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Answer:

what area

Step-by-step explanation:

you should describe some side

Answer:

1/5

Step-by-step explanation:

Because it is 0.2 and 2/5 equal 0.4

Answer: 897

Step-by-step explanation: \frac{a}{\sin A}=\frac{b}{\sin B}

sinA

a

​

=

sinB

b

​

From reference sheet.

\text{Find other angle:}

Find other angle:

\angle X=180-139-20=21^{\circ}

∠X=180−139−20=21

∘

X

Y

Z

x = 940

z = ?

139°

20°

21°

\frac{z}{\sin 20}=\frac{940}{\sin 21}

sin20

z

​

=

sin21

940

​

Plug in. Opposite sides go together.

z=\frac{940\sin 20}{\sin 21} \approx 897.12 \approx 897

z=

sin21

940sin20

​

≈897.12≈897

x > 120 is the required inequality and the school ordered more than 120 bags of concrete.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The number of bags of concrete that the school ordered, represented by x, must be greater than 60 / 0.5 = 120 bags of concrete.

So, the inequality that describes the problem is:

x > 120

The solution to the inequality is:

x > 120

The school ordered more than 120 bags of concrete.

Hence, x > 120 is the required inequality and the school ordered more than 120 bags of concrete.

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Answer:

false 3.12 is in between 3 and 4  though

Step-by-step explanation:

Answer:

5.76 units

Step-by-step explanation:

3 3/4= 3.125

18÷3.125=5.76

Sorry if I'm wrong.

Please mark me as Brainliest.

Answer:

(-3, -2) ∪ (1, ∞)

Step-by-step explanation:

Given inequality:

\(\dfrac{x^2+5x+6}{x-1} > 0\)

Begin by factoring the denominator:

\(\begin{aligned}x^2+5x+6&=x^2+2x+3x+6\\&=x(x+2)+3(x+2)\\&=(x+3)(x+2)\end{aligned}\)

Therefore, the factored inequality is:

\(\dfrac{(x+3)(x+2)}{x-1} > 0\)

Determine the critical points - these are the points where the rational expression will be zero or undefined.

The rational expression will be zero when the numerator is zero:

\((x+3)(x+2)=0 \implies x=-3,\;x=-2\)

Therefore, -3 and -2 are critical points.

The rational expression will be undefined when the denominator is zero:

\(x-1=0 \implies x=1\)

Therefore, 1 is a critical point.

So the critical points are -3, -2 and 1.

Create a sign chart, using open dots at each critical point (the inequality is greater than, so the interval doesn't include the values).

Choose a test value for each region, including one to the left of all the critical values and one to the right of all the critical values.

Chosen test values: -4, -2.5, 0, 2

For each test value, determine if the function is positive or negative:

\(x=-4 \implies \dfrac{(-4+3)(-4+2)}{-4-1} = \dfrac{(-)(-)}{(-)}=\dfrac{(+)}{(-)}=-\)

\(x=-2.5 \implies \dfrac{(-2.5+3)(-2.5+2)}{-2.5-1} = \dfrac{(+)(-)}{(-)}=\dfrac{(-)}{(-)}=+\)

\(x=0 \implies \dfrac{(0+3)(0+2)}{0-1} = \dfrac{(+)(+)}{(-)}=\dfrac{(+)}{(-)}=-\)

\(x=2 \implies \dfrac{(2+3)(2+2)}{2-1} = \dfrac{(+)(+)}{(+)}=\dfrac{(+)}{(+)}=+\)

Record the results on the sign chart for each region (see attached).

As we need to find the values for which the rational expression is greater than zero, shade the positive regions on the sign chart (see attached). These regions are the solution set.

Remember that the intervals of the solution set should not include the critical points, as the critical points of the numerator make the expression zero, and the critical point of the denominator makes the expression undefined. The intervals of the solution set are those where the rational expression is greater than zero only.

Therefore, the solution set is:

-3 < x < -2  or  x > 1

As interval notation:

(-3, -2) ∪ (1, ∞)

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Step-by-step explanation:

√2x² + 7x +√2=0

2x + 7x + √ 2 =0

√2=9x

x = o.15713484

Answer:

the answer is b, c, d, a, respectively

Answer:

Is there a question?

Step-by-step explanation:

The Pythagorean theorem states that for any right triangle with legs of length “a” and “b” and a hypotenuse of length “c,” the lengths of the sides always satisfy the relationship, “a^2 + b^2 = c^2.” In other words, the sum of the squares of the lengths of the two legs of a triangle is equal to the square of its hypotenuse. The formula is alternatively written with the hypotenuse length isolated (i.e., c = Sqrt(a^2 + b^2).

This is the definition.

Step-by-step explanation:

I= 74810

II=66733

III=71392

iv=239904

Answer:

Yes, they are equivalent.

Step-by-step explanation:

18 + 3.1m + 4.21m - 2

Combine like terms.

7.31m + 18 - 2

7.31m + 16 = 16 + 7.31m

Answer:

P = 3

Step-by-step explanation:

\( {p}^{3} = 27\)

\(p = \sqrt[3]{27} = 3\)

Answer:

P = 3

Step-by-step explanation:

Write down the equation:

p^3 = 27

Then divide both sides by cubed:

p = 3

The perimeter of the trapezoid is given as follows:

44 cm.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The missing side is a side of a right triangle, in which the other side is of 18 - 10 = 8 cm, while the hypotenuse is of 10 cm, hence:

8² + h² = 10²

64 + h² = 100

h² = 36

h = 6.

Hence the perimeter is given as follows:

P = 18 + 10 + 10 + 6 = 44 cm.

The trapezoid is given by the image presented at the end of the answer.

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Answer:

2 or 4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Kinda hard to explain but I'm pretty sure it's B

Answer:

2.75 ft

Step-by-step explanation:

Answer:

2.75

Step-by-step explanation:

Answer:

y-10

Step-by-step explanation:

Answer: The equation cannot be simplified any further.

Explanation: The variable(t) is greater than any number than negative five.

Plz mark brainliest:)

Answer:

Step-by-step explanation:

We can use the formula for the future value of an annuity to determine how much Marcia needs to invest today to meet her retirement goal of $90,000. The formula for the future value of an annuity is:

FV = PMT x [(1 + r/n)^(n*t) - 1] / (r/n)

where:

FV = future value of the annuity

PMT = payment (or deposit) made at the end of each compounding period

r = annual interest rate

n = number of compounding periods per year

t = number of years

In this case, we want to solve for the PMT (the amount Marcia needs to invest today). We know that:

Marcia wants to retire in 15 years (when she is 65), so t = 15

The interest rate is 10% per year, compounded semiannually, so r = 0.10/2 = 0.05 and n = 2

Marcia wants to have $90,000 in her retirement account

Substituting these values into the formula, we get:

$90,000 = PMT x [(1 + 0.05/2)^(2*15) - 1] / (0.05/2)

Simplifying the formula, we get:

PMT = $90,000 / [(1.025)^30 - 1] / 0.025

PMT = $90,000 / 19.7588

PMT = $4,553.39 (rounded to the nearest cent)

Therefore, Marcia needs to invest $4,553.39 today in order to meet her retirement goal of $90,000, assuming an interest rate of 10% per year, compounded semiannually.

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer:

the area of the rectangle is A=L•W

The length is 3m less than twice its width W: L+ 3m=2W...->, L=2W-3m

A=L-W

27m²=(2W-3m)-W

27m2=2w2-3m-W

2w2-3wm-27m2=0

....use quadratic formula -(-3m)+ (-3m)²-4-2-(-27m²)

W=

2-2

w=(3m± √9m²+216m²)

w=(3m+ √225m²)

W=(3m± 15m...you need only positive root because width cannot be negative

W= 3m+15m

4

W=. 4

18m

W=4.5m ......now find the L

L=2.4.5m-3m

L=9m-3m

L=6m

Answer:

W = 4.5cm

L = 6cm

Step-by-step explanation:

The triangle for which angle a =30\degree, angle b=45\degree, and a=20, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636

Two angles (a and b) and one side (a) are provided for us to solve the triangle. Let's call the side across from angle a side A, the side across from angle b side B, and the side across from the final angle (angle c) side C.

Here, it is given that,

angle a = 30 degrees

angle b = 45 degrees

side a = 20

angle c = 180 - (angle a + angle b)

angle c = 180 - (30 + 45)

angle c = 180 - 75

angle c = 105 degrees

We know that, a/sin(A) = b/sin(B) = c/sin(C)

a/sin(A) = b/sin(B) = c/sin(C)

20/sin(30) = b/sin(45) = c/sin(105)

b/sin(45) = 20/sin(30)

b = (sin(45) * 20) / sin(30)

b ≈ (0.7071 * 20) / 0.5

b ≈ 14.142 / 0.5

b ≈ 28.284

Now,

c/sin(105) = 20/sin(30)

c = (sin(105) * 20) / sin(30)

c ≈ (0.9659 * 20) / 0.5

c ≈ 19.318 / 0.5

c ≈ 38.636

Thus, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636.

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Answer:

The flagpole is 12 feet

Step-by-step explanation:

The boy's shadow is half of the flagpole's shadow. So the flagpole is 2 times as much as 6 ft because the boy is six feet. 6 x 2 = 12. So the final answer is 12 ft.

Answer: 26 years old

Step-by-step explanation:

Since Scott is four more than double the age of Todd, start by taking away four from Scott's age.

56-4=52

Then take half of that because that would be double of Todd's age

52/2=26

Todd is 26 years old.