15. Federico necesita resolver el problema de encontrar la medida x, en centímetros, del lado del cuadrado de
la figura.
Sabe que el área total de la figura es 45 centímetros cuadrados y determina que el problema se puede
resolver utilizando la ecuación
8x
2
= 45
Las soluciones correctas de esta ecuación son x = -9 y x = 5. Para resolver el problema inicial, de las dos
soluciones de la ecuación, Federico debe presentar como respuesta
A. -9, porque nueve es el único cuadrado perfecto en las soluciones.
B.
C.
las dos, porque al ser soluciones de la ecuación lo son del problema.
ninguna, porque la ecuación no corresponde al problema.
D. 5, porque el lado del cuadrado debe ser un valor positivo.

Answers

Answer 1

Al encontrar la medida x del lado del cuadrado, Federico debe presentar como solución igual a 5, ya que el lado del cuadrado debe ser un valor positivo.

¿Cómo calcular el área del cuadrado?

Como el cuadrado es una figura geométrica que tiene lados iguales, para realizar el cálculo, debemos tomar la medida de uno de los lados y elevarlo al cuadrado. El cálculo se puede realizar mediante la siguiente fórmula:

A = L²

Por lo tanto, la geometría plana se usa para calcular las medidas precisas de la habitación en relación con su área, longitud y altura.

La respuesta correcta es la opción D.

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Related Questions

the jar contains 22 marbles 12 purple 8 red and 2 green one marbles drawn and put back then a 2nd marble is drawn, what is the probability that both marbles were red?

Answers

Answer:  16/121

Explanation:

There are 8 red marbles out of 22 total

8/22 = 4/11 is the probablity of randomly selecting red.

If the first marble is put back, then that probability will not change.

The probability of two red marbles in a row is (4/11)*(4/11) = 16/121

Side note: 16/121 = 0.1322 = 13.22% approximately

5. M's class is having a give-away
here 3 of her lucky students will
ceive 500 classroom credits. She
ll pull names out of a hat and select
winners. Once a student wins, they
e not eligible to win again. There
e 75 total students in the class,
cluding you and your 2 best friends.

Answers

The probability that both I and my best friend get the 100 classroom credits is 0.06%.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Since Mr Q's class is having a give-away where his students can receive 100 classroom credits, he will pull names out of a hat and select two winners, and once a student wins, they are not eligible to win a second time, if there are 40 total people in the class, including me and my best friend, to determine what is the probability that both I and my best friend get the 100 classroom credits, the following calculation must be performed:

I = 1/40 = 0.025

my best friend = 1/39 = 0.02564

0.02564 x 0.025 = X

0.0006410 = X

X x 100 = 0.064

Therefore, the probability that both I and my best friends get the 100 classroom credits is 0.06%.

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( 8 + 92 ) - 4 x 10 what is it

Answers

Answer:  60

8 + 92 = 100

4 × 10 = 40

100 + 40 = 60

Answer:

[tex]60[/tex]

Step-by-step explanation:

[tex](8 + 92) - 4 \times 10[/tex]

[tex]100 - 4 \times 10[/tex]

[tex]100 - 40[/tex]

[tex]60[/tex]

Hope this helps!

I don't get what I'm doing wrong,does anybody know this?The diameter of a great circle is 24 inched find the total surface area of the hemisphere don't forget to include the base in the total area.

Answers

since it's diameter is 24, its radius must be 12.

[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12 \end{cases}\implies SA=4\pi (12)^2\implies SA=576\pi[/tex]

now, that's for a sphere, for a hemisphere with the same radius it'd just be half that or 288π, now let's add the area of the circular base.

[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{hemisphere}{288\pi} ~~ + ~~\stackrel{circular~base}{\pi (12)^2}}\implies 288\pi ~~ + ~~144\pi \implies 432\pi[/tex]

The total surface area of the hemisphere is 288π. The area that include both surface area of hemisphere and the base of the total area is 432π.

What is hemisphere?

A hemisphere is "half the part of sphere".

According to the question,

The diameter of greater circle is 24 this implies radius of circle is 12.

Surface area of sphere = 4πr²

= 4×π × (12)²

= 576π.

Surface area of sphere is 576π

Surface area of Hemisphere is half of the surface area of sphere.

(576π)/2 = 288π

In order to include the base in the total area only if add surface area of hemisphere and area of circle.

surface area of hemisphere + rea of circle = 288π + π(r)²

= 288π + π(12)²

= 288π + 144π

= 432π

Hence, the total surface area of the hemisphere is 288π. The area that include both surface area of hemisphere and the base of the total area is 432π.

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You are taking a typing class and can now type 30 words per minute. a. Set up a proportion to solve for the amount of time it would take you to type 400 words. b. Solve the proportion in part (a). c. Set up a proportion to solve for the number of words you could type in 10 minutes. d. Solve the proportion in part (c).

Whoever answers I’ll give brainliest

Answers

Answer:

hi,as u promise,lets go!!

a)1min=30w

x=400w

b)1min=30w

x=400w

1min×400w=x×30w

400w min=x×30w

30w 30w

x= 13mins and 3 sec.

c)1min=30w

10 min=x.

d)1min=30w

10min=x

1min×x=10min×30w

1min ×x = 300wm

1min 1min

x=300words.

THANKS ,HOPE IT HELPS!!BRAINLIEST

Answer:

a.) 1:30 :: x:400

b.) About 13 minutes and 35 seconds

c.) 1:30 :: 10:x

d.) 300 words

Step-by-step explanation:

a.) 1 = minute 30 = words typed in that minute 400=words typed x=minutes

b.) 400 / 30 = 13.3

c.) 1 = minute 30 = words typed in that minute x=words typed 10=minutes

d.) 10 x 30 = 300

Solve the simultanious equations 2x+3y=13 4x-y=-2

Answers

Answer: x = 1/2, y = 4

Step-by-Step Explanation:

Lets solve it using Substitution Method :-

=> 2x + 3y = 13 (Eq. 1)
=> 4x - y = - 2 (Eq. 2)

From Eq. 2 :-

=> 4x - y = - 2
= - y = - 2 - 4x
=> y = 4x + 2 (Eq. 3)

Substitute value of ‘y’ in Eq. 1 :-

=> 2x + 3y = 13
= 2x + 3(4x + 2) = 13
= 2x + 12x + 6 = 13
= 14x = 13 - 6 = 7
=> x = 7/14 = 1/2

Substitute value of ‘x’ in Eq. 3 :-

=> y = 4x + 2
= y = 4(1/2) + 2
= y = 4/2 + 2
=> y = 2 + 2 = 4

Therefore; x = 1/2, y = 4

please answer!!!! will mark brainliest!!!

Answers

Answer:

6.42 %

Step-by-step explanation:

Formula    FV = PV ( 1 + i)^n        i = periodic interest in decimal

                                                 FV = future value    PV = present value

                                                    n = periods ( years in this case)

3412.23 = 2500 ( 1 + i)^5

3412.23/2500  = (1+i)^5

1.364892 = (1+i)^5

1.0641 = 1+ i

i = .0642      or    6.42 %

Jose constructed Triangle DCE, where m m • Are the two triangles similar to one another?

Answers

Answer:

please write question with full info

please please can someone help me

[tex] \sf nonsense = reported[/tex]

Answers

Answer:

See below ~

Step-by-step explanation:

Q1

The line graph shows Sarah's daily expenses in school every day of the week

Q2

Sarah spent 60 - 10 = 50 pesos more on Thursday than Wednesday

Q3

Total Daily Expenses = 25 + 30 + 10 + 60 + 35Total Daily Expenses = 55 + 70 + 35Total Daily Expenses = 90 + 70Total Daily Expenses = 160 pesos

Q4

She spent the most on Thursday most likely to pay a fee for a school event like a field trip, party, etc.

Q5

If she continues to spend Php 60 a day, then her spending will increase to Php 300 per week

What is the area of the trapezoid shown below?

Answers

Answer:

78 sq. units

Step-by-step explanation:

1/2 × (7+19) × 6 = 78

volume of hemisphere whos area is 12.5 ft squared

Answers

Answer:

radius r = 1.41047396 m

base circumference C = 8.86226925 m

volume V = 5.87697483 m^3

curved surface area A = 12.5 m^2

base surface area B = 6.25 m^2

total surface area K = 18.75 m^2

In Terms of Pi π

base circumference C = 2.82094792 π m

volume V = 1.87069919 π m3

curved surface area A = 3.97887358 π m^2

base surface area B = 1.98943679 π m^2

total surface area K = 5.96831037 π m

Step-by-step explanation:

r = radiusC = base circumferenceV = volumeA = curved surface areaB = base surface areaK = total surface areaπ = pi = 3.1415926535898√ = square root

Hemisphere Formulas in terms of radius r:Volume of a hemisphere:

V = (2/3)πr^3

Circumference of the base of a hemisphere:

C = 2πr

Curved surface area of a hemisphere (1 side, external only):

A = 2πr^2

Calculate the base surface area of a hemisphere (a circle):

B = πr^2

Total surface area of a hemisphere:

K = (2πr^2) + (πr^2) = 3πr^2

Answer:

Approximately 6.4 ft³

Step-by-step explanation:

A *hemisphere* is half of a sphere. As far as surface area goes, we not only need to account for the curved area, but also the area of the circular disc at the bottom. The area of the curved region is going to be half the area of the whole sphere. Since a sphere with radius r has a surface area of 4πr², the curved part of the hemisphere must have half that, or 2πr². Add in the area of the circular disc, πr², and we have a total area of 3πr². Setting this equal to the given area of 12.5 ft², we can solve for r:

[tex]3\pi r^2=12.5\\r^2=12.5/3\pi\\\\r=\sqrt{12.5/3\pi}[/tex]

Now, using the formula for the volume of a sphere, [tex]V=(4/3)\pi r^3[/tex], we can substitute our new value for r and solve:

[tex]V=(4/3)\pi r^3\\=(4/3)\pi(\sqrt{12.5/3\pi})^3\\\approx 6.4[/tex]

Find the area that the curve encloses and then sketch it.
r = 3 + 8 sin(6)

Answers

Answer:

[tex]A=41\pi\: \text{units}^2\approxA\approx128.8053\:\text{units}^2[/tex]

Step-by-step explanation:

I assume you mean [tex]r=3+8\sin\theta[/tex]:

Use the formula [tex]\displaystyle A=\int\limits^a_b \frac{1}{2} {r(\theta)^2} \, d\theta[/tex] where [tex]a[/tex] and [tex]b[/tex] are the lower and upper bounds and [tex]r(\theta)[/tex] is the equation of the polar curve.

Since the graph is symmetrical about the line [tex]\displaystyle \theta=\frac{\pi}{2}[/tex], let the bounds of integration be [tex]\displaystyle \biggr(-\frac{\pi}{2},\frac{\pi}{2}\biggr)[/tex] to find half the area of the curve, and then find twice of that area:

[tex]\displaystyle A=\int\limits^a_b \frac{1}{2} {r(\theta)^2} \, d\theta\\\\A=2\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} \frac{1}{2} {(3+8\sin\theta)^2} \, d\theta\\\\A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} 9+48\sin\theta+64\sin^2\theta \, d\theta\\\\A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} 9+48\sin\theta+64\biggr(\frac{1-\cos2\theta}{2} \biggr) \, d\theta\\\\\\A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} (9+48\sin\theta+32-32\cos2\theta) \, d\theta[/tex]

[tex]\displaystyle A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} (41+48\sin\theta-32\cos2\theta) \, d\theta\\\\A=41\theta-48\cos\theta-16\sin2\theta\biggr|^{\frac{\pi}{2}}_{-\frac{\pi}{2}}\\\\[/tex]

[tex]A=\biggr[41\biggr(\frac{\pi}{2}\biggr)-48\cos\biggr(\frac{\pi}{2}\biggr)-16\sin2\biggr(\frac{\pi}{2}\biggr)\biggr]-\biggr[41\biggr(-\frac{\pi}{2}\biggr)-48\cos\biggr(-\frac{\pi}{2}\biggr)-16\sin2\biggr(-\frac{\pi}{2}\biggr)\biggr]\\\\A=\biggr[\frac{41\pi}{2}-24\sqrt{2}\biggr]-\biggr[-\frac{41\pi}{2}+24\sqrt{2}\biggr]\\ \\A=41\pi\\\\A\approx128.8053[/tex]

Thus, the area of the curve is 41π square units. See below for a graph of the curve and its shaded area.

mike has some candies and gave 15 of them to his friend, Late his mom bought him twice the amount of candies he had at the beginning how many candies did he have in the beginning if he has 60

Answers

Answer:

30

Step-by-step explanation:

gave 15 to his friend 30-15=15 his mom bought mom 60 candies so 30


53. (a) if the symbol [tex]\lbrack\rbrack[/tex] denotes the greatest integer function defined in example 10 , evaluate
(i) [tex]\lim _{x\rightarrow-2^+}\lbrack x\rbrack[/tex]
(ii) [tex]\lim _{x\rightarrow-2}\lbrack x\rbrack[/tex]
(iii) [tex]\lim _{x\rightarrow-2.4}\lbrack x\rbrack[/tex]

Answers

If x is between two consecutive integers such that n ≤ x < n + 1, then the greatest integer function [x] maps x to the largest integer smaller than x so that [x] = n.

(i) If x is approaching -2 from above, that means x > -2. As x gets closer to -2, we essentially have -2 < x < -1, so that [x] will approach

[tex]\displaystyle \lim_{x\to-2^+} [x] = \boxed{-2}[/tex]

(ii) However, if x is approaching -2 from below, then x < -2, so that [x] = -3. In other words

[tex]\displaystyle \lim_{x\to-2^-} [x] = -3 \neq -2[/tex]

Because the one-sided limits do not match, the two-sided limit

[tex]\displaystyle \lim_{x\to-2} [x] ~~\boxed{\text{does not exist}}[/tex]

(iii) -2.4 lies between -3 and -2, so

[tex]\displaystyle \lim_{x\to-2.4} [x] = \boxed{-3}[/tex]

About how much did he spend on DVDs and video games combined?

x

A. $17

B. $34

C. $55

D. $68

E. $88

this the last one

Answers

You never said how much money is was to begin so it is impossible to get an answer sorry. It is 22% of it toghether though sorry! Have a good day

A spinner has 9 equal sections labeled A, B, C, D, E, F, G, H, and I. What is P(not A)? 89 23 13 19

Answers

Answer:

P(not A) = 8/9

Step-by-step explanation:

To write a simple probability, write a fraction. The bottom is all the possibilities, here there are 9. So put a 9 on the bottom. Then on top write how many ways the event can happen. There are 8 ways you can land on "Not A" (that is: B, C, D, E, F, G, H, I) So 8 goes on top. Simplify if possible. 8/9 cannot be simplified.

P(not A) = 8/9

As per the probability of an event, the value of P(not A) is 8/9.

What is the probability of an event?

The probability of an event is the chance of happening that particular event.

Given, total number of events in the sample space = 9.

Number of favorable events in that sample space is = 1.

Therefore, the probability P(A) = 1/9.

Now,  P(not A)

= 1 - P(A)

= 1 - 1/9

= 8/9

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Which equation shows the area, in square centimeters, of the shaded figure?

Answers

Answer:

[tex]3\times8=24[/tex]

Step-by-step explanation:

Notice that the shaded figure has a width of 3 cm and a length of 8 cm. The area of the rectangle is equal to the product of the width and length, so [tex]8\:\text{cm}\times3\:\text{cm}=24\:\text{cm}^2[/tex] would be the area of the shaded figure.

Sarah received \$55dollar sign, 5 for her birthday. She used some of that money to buy 3 shirts priced at m dollars each.

Answers

The amount of money Sarah have left written as an expression is 55 - 3m

How to write equation?

Amount Sarah received for her birthday = $55Number of shirts bought = 3Cost of each shirt = $m

The amount of money Sarah have left = Amount Sarah received for her birthday - (Number of shirts bought × Cost of each shirt)

= 55 - (3 × m)

= 55 - 3m

The complete question:

Sarah received $55 dollar sign,for her birthday. She used some of that money to buy 3 shirts priced at m dollars each. How much money does Sarah have left? Write your answer as an expression.

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Find the arc length of the subtending arc for an angle of 3pi/4 radians on a circle of radius 2.5.

Answers

The arc length of the circle will be equal to 5.89 units.

What is the length of the arc?

The length of the curve on the circumference of the circle making an angle with the centre is called the length of the arc of the circle.

Given that:-

Angle = 3π / 4radius = 2.5 units.

The length of the arc will be calculated as:-

Arc  =  Angle  x  radius

Arc  =  ( 3π / 4  )  x  2.5

Arc  =   5.89 units.

Therefore the arc length of the circle will be equal to 5.89 units.

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Determine if the sequence is arithmetic. If it is, find the common difference.
1) 35, 32, 29, 26, ...
2) -3, -23, -43, -63, ...

Answers

Answer:

1) Arithmetic since it decreases by 3 so, -3n + 38.

2) Arithmetic since it decreases by 20 each time, so -20n+17

Step-by-step explanation:

The following set of ordered pairs represents y as a function of x.
{ (9,8), (-2, -14), (6, 2), (-3, -16), (______)}
Which of the following could be the missing ordered pair?
A (9,-8)
B (-3, 9)
C (-9, 8)
D (6,-2)

Answers

Answer:   C (-9, 8)

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

Explanation:

The point (9,8) is in the original set of ordered pairs.

We cannot include (9,-8) since x = 9 is already listed. We can't have repeated x values. If x repeats, then we don't have a function.

This rules out choice A.

Choices B and D are eliminated for similar reasoning.

Choice C can be included because x = -9 hasn't been mentioned yet.

Note: A function is when any given x value leads to exactly one y value.

Anyone know how to solve this???

Answers

Answer:

m=15/14

Step-by-step explanation:

y2-y1

x2-x1

(3, 0) (-11, -15)

x1 y1   x2   y2

-15-0

-11-3          = -15/-14 m=-15/-14 = 15/14

PLEASE PLEASE I BEG YOU FOR HELP

Answers

Answer:

False

Ab is not perpendicular bisector to bc

The length of a race is 26 miles and 385 yards. what is the length of the marathon in yards

Answers

Answer:

46,145 yards

Step-by-step explanation:

convert miles to yards then add

Help please I don’t understand.

Answers

Draw the parabola and see if the parabola matches the main curve

Please someone help me answer this! I will return back

Answers

Answer:

Negative correlation

Step-by-step explanation:

You can draw a line of best fit the would go downhill from left to right which would be a negative slope. This means it has a negative correlation.

Find the surface area of the space figure represented by the net.
A) 264 in.2
B) 290 in.2
C) 145 in.2
D) 242 in.2

Answers

Answer:

290 in^2.

Step-by-step explanation:

Adding all the areas of rectangles:

= 11*8 + 11*3 + 11*8 + 11*3 + 3*8 + 3*8

= 290 in^2.

Answer:

B)  290 in²

Step-by-step explanation:

Area of a rectangle = length × width

⇒ SA of the net = 2(11 × 8) + 2(11 × 3) + 2(8 ×3)

                           = 176 + 66 + 48

                           = 290 in²

18. A tree casts a 76ft shadow when the sun is at a 41° angle of depression. Find the height of the tree.
Round to the tenths place.

Answers

Answer:

87.36 ft.

Step-by-step explanation:

Angle of depression : 41°

Length of shadow : 76 ft.

Taking the tan ratio (let the height of the tree be 'h') :

tan 41° = 76/h

0.87 = 76/h

h = 76/0.87

h = 87.36 ft.

Answer:

the height of the tree = 87.4 ft (Rounded to the tenths place)

Step-by-step explanation:

the tree form a right angle with the ground

Then , we have a right triangle .

let H be the height of the tree.

[tex]\tan 41=\frac{76}{H}[/tex]

[tex]\Longrightarrow H = \frac{76}{\tan(41)} = 87.427998948797[/tex]

Find the Volume of the Triangular Prism Below.

a.

416 m

b.

432 m



c.

624 m

d.

864 m

Answers

Answer:

[tex]volume \: of \: triangular \: prism = \frac{1}{2} \times b \times h \times h \\ = \frac{1}{2} \times 8 \times 12 \times 9 \\ = 432m {}^{3} [/tex]

A survey was conducted for school students in a city to find out the
favorite games of the students .49000 students were participated in the
survey. It was found that 2
7
of the students liked football, 4
7
of the students
liked cricket and the rest liked hockey.
Read the passage carefully and answer the following questions:
i) How many students liked football?
a) 14000 b) 28000 c) 7000 d) 9000
ii) How many students liked cricket?
a) 4000 b) 28000 c) 7000 d) 10000
iii) What fraction of the students liked hockey?
a)3
7
b) 1
7
c) 2
7
d) 6
7

iv) How many more students liked football than hockey?
a) 6000 b) 5000 c) 14000 d) 7000

Answers

2
7
What do you mean by this?
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