How to find the missing numbers

80

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

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.

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:

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:

Y=2x+5

Step-by-step explanation:

Hope this helps

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:

[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:

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 :)

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:

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

Answer:77% are corect

Step-by-step explanation:

because

big brain

Answer:

Step-by-step explanation:

I hope this helps!

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: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:

About 48 students play football

Step-by-step explanation:

400 times 12% is 48

Answer:

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

Step-by-step explanation:

Answer:

stacy 30 and naomi 18

Step-by-step explanation:

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:

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

Answer:

1/6

Step-by-step explanation:

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

Answer:   x= -5   hope this helps

Step-by-step explanation:

Answer:

you should add 20 ounces of fertilizer

20 ounces of fertilizer should be added to the water tank holding 50 gallons of water.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given are the directions to prepare a fertilizer for which you should mix four ounces of fertilizer for every ten gallons of water and the water tank containing water holds 50 gallons of water.

10 gallons of water require → 4 ounces of fertilizer

1 gallon of water will require → 4/10 ounces of fertilizer

50 gallons of water will require → (4/10) x 50 = 20 ounces of fertilizer

Therefore, 20 ounces of fertilizer should be added to the water tank holding 50 gallons of water.

To solve more questions on Unitary Method, visit the link below-

https://brainly.com/question/20709929

#SPJ5

Answer: -4/5 or -0.8

Step-by-step explanation:

m= change in y / change in x

-4/ 5

Answer:

1/3

Step-by-step explanation:

thats the slope so im assuming :/

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:

43

Step-by-step explanation:

Answer:

They are all obtuse scalene triangles I think

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