Max And Tara Are Each Designing A Playground For A School Project. In Maxs Design, X Square Feet Of The (2024)

Answer:

126 square units

Step-by-step explanation:

Area of section 1 is 8 square units which is triangle and,

Area of triangle is = [tex]\frac{1}{2}\times b\times h[/tex]

b= 2 units and height =8 units

So,

Area of section 1 = [tex]\frac{1}{2}\times 2\times 8=8 \quad\text{ square units}[/tex]

Same Area is of section 2 which is also a triangle and has same base and height.

So,

Area of Section 2 = [tex]\frac{1}{2}\times 2\times 8=8 \quad\text{ square units}[/tex]

Now the Area of section 3 which is square with side of 10 units

So,

Area of section 3 = [tex]a^{2} =10\times10=100\quad \text{square units}[/tex]

Total Area of Trapezoid = [tex]8+8+100=126 \quad \text{square units}[/tex]

Step-by-step explanation:

421×9=3789 it is easy when you know your multiple choice

Answer:

D

Step-by-step explanation:

f(x) = g(x) at x=5

means

f(5) = g(5)

Answer:

4 x 2 (2WD) A 4x2 or 2WD is a vehicle that has a two-wheel drive (2WD) with four wheels.

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

a negative divided by a negative is a positive

Answer:

n = -2

Step-by-step explanation:

-6/n = 3

multiply n on both sides

-6 = 3n

divide 3

-2 = n

n = -2

The transformations which can lead to the red square image of the blue Square are; Translation, Reflection, Rotation.

What transformations lead to the image?

Translation is when we slide a figure in any direction. The translation of the shape can be by moving the blue leftward or rightward and the then downward.Reflection is when we flip a figure over a line. The reflection involves reflect the blue Square over the line; y = x.Rotation is when we rotate a figure a certain degree around a point. The rotation is by rotating the blue Square over 180⁰.

Read more on transformations;

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Answer:

In the picture attached, the question is shown.

a) Applying Pythagorean theorem to triangle ABC, and solving for AC:

CB² + BA² = AC²

5² + 12² = AC²

√169 = AC

13 cm = AC

b) Applying Pythagorean theorem to triangle ACD, and solving for AD:

CD² + AC² = AD²

5² + 13² = AD²

√194 = AD

13.9 cm = AD

Step-by-step explanation:

Answer:

x = 50

Step-by-step explanation:

The marked angles are vertical angles, so are congruent.

3x -3 = 147 . . . . congruent angles have equal measures

x -1 = 49 . . . . . divide by3

x = 50 . . . . . . add 1

Answer: 52.8 minutes

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

How I got that answer:

The interval 0 < t < 30 has the midpoint of 15 since (0+30)/2 = 15

The interval 30 < t < 60 has the midpoint 45 because (30+60)/2 = 45

We add up the endpoints and then divide by 2 to get the midpoint.

Repeat this for each of the intervals mentioned.

From top to bottom, the midpoints are:

154575105

Notice we add 30 to each midpoint to get the next one. This is directly due to the fact that each interval is 30 units wide (eg: 90-60 = 30).

Multiply each midpoint by the corresponding frequency for a given row.

15*7 = 10545*27 = 121575*12 = 900105*4 = 420

Then add up those products.

105+1215+900+420 = 2640

Lastly, we divide this over the sum of the frequencies 7+27+12+4 = 50 to get 2640/50 = 52.8

The average time spent on homework is estimated to be about 52.8 minutes

Note that the majority of the the students (27) are in the 30 < t < 60 interval, so the mean of 52.8 fits this interval perfectly. It's closer to the right endpoint of the interval due to the fact the other 12+4 = 16 students are above this, and they make up the second most majority compared to the 27.

The reason why 52.8 is an estimate rather than the actual mean is because we are estimating each interval by picking out the midpoint each time. The midpoint is at the direct center, so it's the best guess we can do.

Answer:

$ 12.60

Step-by-step explanation:

30 shares × $ 0.42 = $ 12.60

Answer:

$1,260

Step-by-step explanation:

3000 x .42 = 1260

Answer:

20 m/hr

Step-by-step explanation:

distance / rate = time

24 miles / 9 miles/hr = 2 2/3 hr

(24 + 20 miles) / 12 miles/hr = 3 2/3 hr

3 2/3 - 2 2/3 = 1 hour to ride the next 20 miles means 20 m/hr

Answer: Choice B

[tex]12b^2\sqrt[3]{2a}[/tex]

In word form, this is 12 b squared (RootIndex 3 StartRoot 2 a EndRoot

Or you could say 12b^2 times the cube root of 2a

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

Work Shown:

[tex]3b^2\sqrt[3]{54a}+3\sqrt[3]{2ab^6}\\\\3b^2\sqrt[3]{27*2a}+3\sqrt[3]{b^6*2a}\\\\3b^2\sqrt[3]{(3)^3*2a}+3\sqrt[3]{(b^2)^3*2a}\\\\3b^2\sqrt[3]{(3)^3}*\sqrt[3]{2a}+3\sqrt[3]{(b^2)^3}*\sqrt[3]{2a}\\\\3b^2*3*\sqrt[3]{2a}+3*b^2*\sqrt[3]{2a}\\\\9b^2\sqrt[3]{2a}+3b^2\sqrt[3]{2a}\\\\(9b^2+3b^2)\sqrt[3]{2a}\\\\\boldsymbol{12b^2\sqrt[3]{2a}}\\\\[/tex]

The idea here is that we break the cube roots into smaller pieces, so we pull out perfect cubes when factoring.

The sum of the expression is 12 b squared (Root Index 6 Start Root 2 a End Root) or 12b²∛(2a).

What is an expression?

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

We have the expression,

3 b squared (Root Index 3 Start Root 54 a End Root) + 3 (Root Index 3 Start Root 2 a b Superscript 6 Baseline End Root).

In numerical form,

3b²∛(54a) + 3∛(2ab⁶)

To find the sum of the above expression:

we simplify the expression,

3b²∛(54a) + 3∛(2ab⁶)

= 3b²∛3³(2a) + 3∛(2a)(b²)³

= 9b²∛(2a) + 3b²∛(2a)

= 12b²∛(2a)

Therefore, the sum is 12b²∛(2a).

To learn more about the expression;

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Answer: 343 square units

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

Explanation:

A = number of points that land inside the irregular figureB = number of randomly generated points total

In this case,

A = 5,710B = 10,000

Divide A/B to find the experimental probability of landing inside the figure

A/B = (5,710)/(10,000) = 0.571

There's about a 57.1% chance of landing inside the figure.

The entire region is 15 units by 40 units, giving an overall area of 15*40 = 600 square units.

Roughly 57.1% of this total area would be taken up by the irregular figure

57.1% of 600 = 0.571*600 = 342.6 which rounds to 343

The area of the irregular region is about 343 square units

Answer:

g = 3

Step-by-step explanation:

Let :

wrapped candy = wlollipop = lgreen candy = g

The equations are :

w + w + l = 23l + l + 2l = 36w x w + g x g = 58w + w - g x l = 2

Finding l

Using Equation 2, solve for the value of l4l = 36l = 36/4l = 9

Finding w

Using Equation 1, solve for the value of w2w + l = 232w + 9 = 232w = 14w = 14/2w = 7

Finding g

Using either equation 3 or 4, we can find gLet's go with equation 3w² + g² = 5849 + g² = 58g² = 9g = 3

Answer:

Area (A) 0.0682

Step-by-step explanation:

The sketch for the region enclosed by the given curves can be found in the image attached below.

From the image below;

The two curves intersect in the area of tan 9x = 2 sin 9x

Recall that:

making x the subject; then:

The subdivision of the domain is in two intervals

where;

Area (A) =

Area (A) = 0.06818

Area (A) 0.0682

Answer:

6 1/2

Step-by-step explanation:

Use the area formula: A=LengthxWidth

Plug in what we know: 24 3/8= 3 3/4x Width

We need to isolate the width; get it by itself.

Do this by (24 3/8)/(3 3/4). The best way is to enter this into a calculator.

Your answer is 6 1/2

Answer:

So this is what hello means :):):):):):):)

Step-by-step explanation:

[tex]\bold{ANSWER:}[/tex]
390 m^2

[tex]\bold{EXPLANATIONS:}[/tex]

Answer:

girl that is so easy, just look it up

Answer: 6 feet describes the center, and 9 feet describes the spread

Step-by-step explanation:

The center of a data set is mostly considered as the median or the mean

Here mean is 6 (given). And median is also 6. As 6 is exactly at the middle of the data set. (When arranged in ascending order)

Now, one of the way of calculating the spread is calculating the range, here it's given that the range is 9.

Therefore, 6 feet describes the center, and 9 feet describes the spread is correct.

Answer:

a: 0.0016

Step-by-step explanation:

Got it right on the test.

Hope this helps :)

Answer:

[tex]B.210\ cm^2[/tex]

Step-by-step explanation:

[tex]We\ are\ given,\\Length\ of\ the\ base=35\ cm\\Length\ of\ the\ perpendicular\ dropped\ to\ the\ base=12\ cm\\We\ know\ that,\\Area\ of\ triangle=\frac{bh}{2}\\ Here,\\Area\ of\ triangle=\frac{12*35}{2}=6*35=210\ cm^2[/tex]

Without security access protocols in place, well-trained employees could find ways to use the accounting system to divert or steal companies funds (money).

What are security access protocols?

A security protocol is known to be a kind of communication protocol that is said to be a well planned sequence of actions to be done by two or more firms so as to achieve their desired goal.

Conclusively, Note that when there is no good or suitable security access protocols that has been put in place by an organization or firm, well-trained employees could figure out ways to use the accounting system to divert or steal companies funds (money) from the company to their own personal account.

Learn more about security access protocols from

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Answer:

0.75.

Step-by-step explanation:

1) the required vertical distance is the distance between two vertexes.

2) according to the item 1, the coordinates of the vertexes are:

(y=x²+1): x₀=0; y₀=1;

(y=x-x²): x₀=0.5; y₀=0.25;

3) according to the item 2, the distance between 1 and 0.25 is 0.75.

From the definition, we have

[tex]\displaystyle f'(10) = \lim_{x\to0} \frac{f(x) - f(10)}{x - 10}[/tex]

With [tex]f(x)=\sqrt{x-1}[/tex], we get [tex]f(10)=\sqrt{10-1}=\sqrt9=3[/tex]. So the limit we want to compute is

[tex]\displaystyle f'(10) = \lim_{x\to0} \frac{\sqrt{x-1} - 3}{x - 10}[/tex]

Rationalize the numerator by multiplying by its conjugate:

[tex]\displaystyle \frac{\sqrt{x-1} - 3}{x - 10} \times \frac{\sqrt{x-1}+3}{\sqrt{x-1}+3} = \frac{\left(\sqrt{x-1}\right)^2-3^2}{(x-10)\left(\sqrt{x-1}+3\right)} = \frac{x-10}{(x-10)\left(\sqrt{x-1}+3\right)}[/tex]

x is approaching 10, which is to say x ≠10, so we can cancel the factors of x - 10 and remove the discontinuity.

Then we're left with

[tex]\displaystyle f'(10) = \lim_{x\to0} \frac1{\sqrt{x-1}+3} = \frac1{\sqrt{10-1}+3} = \frac1{\sqrt9+3} = \frac1{3+3} = \boxed{\frac16}[/tex]

evaluated by direct substitution, which we can do since the limand is continuous.

Answer:

See below ~

Step-by-step explanation:

1. D. cylinder

2. A. pyramid

3. E. rectangular prism

4. C. cone

5. F. cube

Answer:

4. 3 cans of paint will cover 60% of Dalia's room

5. Dalia's entire room requires 5 cans of paint

Step-by-step explanation:

If Dalia has painted 1/10 of her room with 1/2 can of paint, then she will paint 2/10 of her room with 1 can of paint (since there are 2 halves in a whole).

2/10 = 1/5 ⇒ 1 can of paint covers 1/5 of the room.

Therefore, to paint the entire room, she will need 5 cans of paint.

60% of 5 cans of paint = 0.6 × 5 = 3

Therefore, 3 cans of paint will cover 60% of the room.

We can solve this quadratic equation using factorisation method as follows

:x2−5x−36=0

x2+4x−9x−36=0

x(x+4)−9(x+4)=0

(x+4)×(x−9)=0

x+4=0orx−9=0

x=−4orx=9

Answer:

D is the correct answer

Step-by-step explanation:

A is not correct because it does not meet the fourth criteria, B is not correct because it doesnt meet the second criteria, C is not correct because it does not meet the third criteria, D IS CORRECT because it meets the fourth criteria.

Answer:
200pi (in terms of pi)
OR
628 (when pi equals 3.14)

Explanation:
I’ve attached my work below

Hope it helps, Let me know if you have any questions!
Have a nice rest of your day :)