Which number has a 5 that represents a value ten times greater than the value represented by the 5 in 41,253 ?

Answer:

A) The height of the trapezoid is 6.5 centimeters.

B) We used an algebraic approach to to solve the formula for [tex]b_{1}[/tex].  [tex]b_{1} = \frac{2\cdot A}{h}-b_{2}[/tex]

C) The length of the other base of the trapezoid is 20 centimeters.

D) We can find their lengths as both have the same length and number of variable is reduced to one, from [tex]b_{1}[/tex] and [tex]b_{2}[/tex] to [tex]b[/tex]. [tex]b = \frac{A}{h}[/tex]

Step-by-step explanation:

A) The formula for the area of a trapezoid is:

[tex]A = \frac{1}{2}\cdot h \cdot (b_{1}+b_{2})[/tex] (Eq. 1)

Where:

[tex]h[/tex] - Height of the trapezoid, measured in centimeters.

[tex]b_{1}[/tex], [tex]b_{2}[/tex] - Lengths fo the bases, measured in centimeters.

[tex]A[/tex] - Area of the trapezoid, measured in square centimeters.

We proceed to clear the height of the trapezoid:

1) [tex]A = \frac{1}{2} \cdot h \cdot (b_{1}+b_{2})[/tex] Given.

2) [tex]A = 2^{-1}\cdot h \cdot (b_{1}+b_{2})[/tex] Definition of division.

3) [tex]2\cdot A\cdot (b_{1}+b_{2})^{-1} = (2\cdot 2^{-1})\cdot h\cdot [(b_{1}+b_{2})\cdot (b_{1}+b_{2})^{-1}][/tex] Compatibility with multiplication/Commutative and associative properties.

4) [tex]h = \frac{2\cdot A}{b_{1}+b_{2}}[/tex] Existence of multiplicative inverse/Modulative property/Definition of division/Result

If we know that [tex]A = 91\,cm^{2}[/tex], [tex]b_{1} = 16\,cm[/tex] and [tex]b_{2} = 12\,cm[/tex], then height of the trapezoid is:

[tex]h = \frac{2\cdot (91\,cm^{2})}{16\,cm+12\,cm}[/tex]

[tex]h = 6.5\,cm[/tex]

The height of the trapezoid is 6.5 centimeters.

B) We should follow this procedure to solve the formula for [tex]b_{1}[/tex]:

1) [tex]A = \frac{1}{2} \cdot h \cdot (b_{1}+b_{2})[/tex] Given.

2) [tex]A = 2^{-1}\cdot h \cdot (b_{1}+b_{2})[/tex] Definition of division.

3) [tex]2\cdot A \cdot h^{-1} = (2\cdot 2^{-1})\cdot (h\cdot h^{-1})\cdot (b_{1}+b_{2})[/tex] Compatibility with multiplication/Commutative and associative properties.

4) [tex]2\cdot A \cdot h^{-1} = b_{1}+b_{2}[/tex] Existence of multiplicative inverse/Modulative property

5) [tex]\frac{2\cdot A}{h} +(-b_{2}) = [b_{2}+(-b_{2})] +b_{1}[/tex] Definition of division/Compatibility with addition/Commutative and associative properties

6) [tex]b_{1} = \frac{2\cdot A}{h}-b_{2}[/tex] Existence of additive inverse/Definition of subtraction/Modulative property/Result.

We used an algebraic approach to to solve the formula for [tex]b_{1}[/tex].

C) We can use the result found in B) to determine the length of the remaining base of the trapezoid: ([tex]A= 215\,cm^{2}[/tex], [tex]h = 8.6\,cm[/tex] and [tex]b_{2} = 30\,cm[/tex])

[tex]b_{1} = \frac{2\cdot (215\,cm^{2})}{8.6\,cm} - 30\,cm[/tex]

[tex]b_{1} = 20\,cm[/tex]

The length of the other base of the trapezoid is 20 centimeters.

D) Yes, we can find their lengths as both have the same length and number of variable is reduced to one, from [tex]b_{1}[/tex] and [tex]b_{2}[/tex] to [tex]b[/tex]. Now we present the procedure to clear [tex]b[/tex] below:

1) [tex]A = \frac{1}{2} \cdot h \cdot (b_{1}+b_{2})[/tex] Given.

2) [tex]b_{1} = b_{2}[/tex] Given.

3) [tex]A = \frac{1}{2}\cdot h \cdot (2\cdot b)[/tex] 2) in 1)

4) [tex]A = 2^{-1}\cdot h\cdot (2\cdot b)[/tex] Definition of division.

5) [tex]A\cdot h^{-1} = (2\cdot 2^{-1})\cdot (h\cdot h^{-1})\cdot b[/tex] Commutative and associative properties/Compatibility with multiplication.

6) [tex]b = A \cdot h^{-1}[/tex] Existence of multiplicative inverse/Modulative property.

7) [tex]b = \frac{A}{h}[/tex] Definition of division/Result.

80

9 to 1 is equivalent to 72 to 8 and 72+8=80

Answer:

Area (A) [tex]\simeq[/tex] 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:

[tex]\dfrac{sin \ 9x }{cos \ 9x } = 2 \ sin \ 9x[/tex]

[tex]cos \ 9 x= \dfrac{1}{2}[/tex]

making x the subject; then:

[tex]x = \dfrac{1}{9} cos ^{-1}(\dfrac{1}{2})[/tex]

[tex]x = \dfrac{1}{9}(\dfrac{\pi}{3})[/tex]

[tex]x = \dfrac{\pi}{27}[/tex]

The subdivision of the domain is in two intervals [tex][-\dfrac{\pi}{27}, 0], [0, \dfrac{\pi}{27}][/tex]

where;

[tex]x \ \ \varepsilon \ \ [ -\dfrac{\pi}{27},0]; tan \ 9x > 2 sin \ 9x[/tex]

[tex]x \ \ \varepsilon \ \ [ 0,\dfrac{\pi}{27}]; tan \ 9x < 2 \ sin \ 9x[/tex]

Area (A) = [tex]\int ^0_{-\pi/27}}} ( tan \ 9x - 2 \ sin \ 9x ) \ dx + \int ^{\pi/27}_{0}(2 \ sin \ 9x - tan \ 9x \ ) \ dx[/tex]

[tex]= \begin {bmatrix} \dfrac{1}{9} In \ sec 9x + \dfrac{2}{9} \ cos \ 9x \end {bmatrix}^0_{-\pi/27} + \begin {bmatrix} -\dfrac{2}{7} cos 9x - \dfrac{1}{9} \ In \ sec \ 9x \end {bmatrix}^{-\pi/27} _0[/tex]

[tex]= \dfrac{1}{9}(1-In 2) + \dfrac{1}{9}(1-In 2)\\[/tex]

[tex]= \dfrac{2}{9}(1 - In 2)[/tex]

Area (A) = 0.06818

Area (A) [tex]\simeq[/tex] 0.0682

Step-by-step explanation:

Hey there!

The given equation is;

[tex]y = \frac{1}{2} x - \frac{1}{3} [/tex]

Comparing the equation with y = mx+c, we get;

Slope(m)= 1/2.

Hope it helps...

Answer:

1. 34.42 Toneladas

2. 28.640 toneladas

3. 38 toneladas

4.[tex]\frac{15}{10}[/tex] o [tex]1\frac{5}{10}[/tex]

5.[tex]\frac{16}{6}[/tex] o [tex]2\frac{4}{6}[/tex]

6.[tex]\frac{8}{4}[/tex] o [tex]2[/tex]

1.1 Solucioné el problema convirtiendo el .25 en fracción.

2.1 Conviertes el denominador en el mismo buscando el minimo comun multiplo

3.1 0.099

[tex]\frac{1}{4}[/tex]

[tex]\frac{1}{3}[/tex]

[tex]\frac{2}{3}[/tex]

0.7

0.75

1.1

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Acuerdate que para solucionar las fracciones mixtas solo tienes que dividir el denominador al nominador, por ejemplo en si tienes [tex]\frac{10}{3}[/tex] entonces el 3 cabe 3 veces en el 10, y sobra 1, entonces quedamos que en mixta la fracción sería [tex]3\frac{1}{3}[/tex]

Entonces una vez que recordamos eso, podemos resolver los problemas de fracciones sin ningún problema vamos a resolver la número 4:

[tex]\frac{8}{10} +\frac{7}{10}[/tex]

Como el denominador es igual, sólo sumamos el nominador:

[tex]\frac{8+7}{10}[/tex]

[tex]\frac{15}{10}[/tex]

Cómo el 10 cabe 1 vez en el 15, tenemos un entero y sobran 5:

[tex]1\frac{5}{10}[/tex]

Answer:

About 48 students play football

Step-by-step explanation:

400 times 12% is 48

Answer:

3x²-x+3

Step-by-step explanation:

Given

Height of the building =  3x^2 + x +1

distance from the floor of the cafeteria to the top of the building = 2x -2

To get the expression for the height from the ground to the floor of the cafeteria, we will use the formula:

Height of the building = (distance from the floor of the cafeteria to the top of the building ) + (he height from the ground to the floor of the cafeteria)

substitute the given parameter into the formula:

3x^2 + x +1 = 2x -2 + P

P = 3x^2 + x +1 - (2X-2)

P = 3x^2 + x +1 - 2x+2

collect like terms:

P = 3x^2 + x-2x+2+1

P = 3x²-x+3

Hence the expression for the height from the ground to the floor of the cafeteria is 3x²-x+3

Answer:

They are all obtuse scalene triangles I think

Answer:

The retail price of the jeans was $81.25.

Second Choice: $81.25.

Step-by-step explanation:

Mrs. Jimenez paid $65 for some jeans.

She intended to sell them at her store by marking their price up by 25%.

We have to add 25% to $65:

25 * $65 / 100 = $16.25

$65 + $16.25 = $81.25

The retail price of the jeans was $81.25.

Second Choice: $81.25.

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

I hope this helps!

Answer:

es discurso que da un una persona sobre un hecho o circunstancia concreta, en éste, se especifican todos los detalles sobre estos, por lo que la mayor parte del tiempo está planificado. El uso de esta palabra está dirigido, principalmente, al campo jurídico.

Answer:77% are corect

Step-by-step explanation:

because

big brain

Answer:

1/6

Step-by-step explanation:

there is six sides so theres only a 1/6 chance it will land on 6

Answer:

1.5

Step-by-step explanation:

this is because 24 divided by 16 equals 1.5

Answer:

7 bars

Step-by-step explanation:

Answer:

Simplest form of 1+tan^2A/ 1 + cot^2A is 2

Step-by-step explanation:

Answer:

Y=2x+5

Step-by-step explanation:

Hope this helps

Answer:

43

Step-by-step explanation:

Answer:6.07

Step-by-step explanation:

Answer:

$6.07

Step-by-step explanation:

36 / 6 = 6

.42 / 6 = 7

6.07

bc we skip two decimal spaces to put it before the 0, there for the answer is $6.07!

Answer:

[tex]\frac{3}{5}[/tex] or 0.6

Step-by-step explanation:

This problem requires the slop formula which is [tex]\frac{y2-y1}{x2-x1}[/tex]

You start with the first point which is (-1,1). This will be x1 and y1.

The next point is (4,4). This will be x2 and y2.

You plug these values into your equation which gives you [tex]\frac{4-1}{4-(-1)}[/tex]

To solve, you evaluate, [tex]\frac{4-1}{4-(-1)}[/tex]  = [tex]\frac{3}{5}[/tex] or 0.6

Answer:   x= -5   hope this helps

Step-by-step explanation:

Answer: -4/5 or -0.8

Step-by-step explanation:

m= change in y / change in x

-4/ 5

Answer:

0.91

explanation:

Answer:

Option D

Step-by-step explanation:

I got it right

Answer:

-156.9*0.01= -1.569

-62(-0.4)= 20.8

Answer:

1. -156.9 x 0.01 = -1.569

2. -62(-0.4) = 24.8

Step-by-step explanation:

Answer:

Yes. 3x²y and -5x²y are like terms because the variables x and y have the same exponents.

Answer:

1/3

Step-by-step explanation:

thats the slope so im assuming :/

Answer:

249.5 (Note: I am not really sure of my answer so sorry)

Step-by-step explanation:

Let 'x' be the population in 1990.

The population in 2015 is 321.9 million.

The increase in x by 29% = 321.910^6

129% of x = 321.910^6

1.29x = 321.910^6

x = 321.910^6/1.29

x = 249.510^6

x = 249.5 million.

249.5 is the answer

i used siri

Answer:

y = 2x - 6

Step-by-step explanation:

PARALLEL to y = 2x + 2

This means that the equation will have the same slope as the above equation.

Subsitute y and x.

2 = 2(4) + b

Solve for b.

b = -6

Answer:

20°

Step-by-step explanation:

Step 1:

x + 40° = 3x       Vertical ∠'s

Step 2:

40° = 2x      Subtract x on both sides

Step 3:

x = 40° ÷ 2     Divide

Answer:

x = 20°

Hope This Helps :)