Which proportion can be used to find the height, x, of the building?

Answer:

A 303.66

Step-by-step explanation:

b1+b2÷2×h is the formula.

So step by step.

29.2+19=48.2

48.2÷2=24.1

24.1×12.6=303.66

The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.

It is required to find the area of a trapezoid.

It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.

We know the formula for the area of a trapezoid:

[tex]\rm Area = \frac{a+b}{2} \times h[/tex]   Where 'a' is the long base, 'b' is the short base and 'h' is the height.

We have a = 29.2 in

               b = 19 in

               h = 12.6

By putting these values in the formula, we get:

[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]

Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

Learn more about the trapezoid here:

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Answer:D

Step-by-step explanation:

Answer:

f(y) = 4y2 - 4v

f(y) = 4y² - 4(-4) = 4y² + 16

f(y) = 4y² - 4(-3) = 4y² + 12

f(y) = 4y² - 4(-2) =4y² + 8

f(y) = 4y² - 4(-1) = 4y² + 4

Step-by-step explanation:

Answer:

Los turistas extranjeros fueron 3054 y los turistas nacionales fueron 5646.

Step-by-step explanation:

De acuerdo a la información proporcionada, debes calcular el 35,10% del total de turistas para determinar el número de turistas extranjeros y el 64,9% del total de turistas para encontrar el número de turistas nacionales:

8700*35,10%=3054

8700*64,9%=5646

De acuerdo a esto, la respuesta es que los turistas extranjeros fueron 3054 y los turistas nacionales fueron 5646.

Answer:

B. x^2-10

Step-by-step explanation:

Your are trying to find the shaded region

You can see that the x by x square would be "full" if not for the 2 by 5 chunk that has been taken out of it

Therefore you can find the area by subtracting the 2 by 10 "chunk" out of the total area of the x by x square

Equation:

(x*x)-(2*5)

x^2-10

The answer is B

Answer: use formulas for area of square/triangle

Step-by-step explanation:

1st one is a rhombus so use A= BH

which is 5x4 = 20

2nd one is a kite

i assume you have not learnt the formula for kites so u can use triangles (A=1/2BH)

triangle CBA: 1/2 x (6+6)(2) = 12

triangle ACD: 1/2 x (6+6)(10)= 60

area = 12 + 60 = 72

Four equal triangles inside a polygon, so we have to find an area of one triangle and multiply that area with four since there are four triangles in total.

________________________________________________________

Two equal triangles and another two (different) equal triangles, so we have to find an area of a smaller triangle and multiply that area with two since there are two equal smaller triangles.

Then we have to find an area of a larger triangle and multiply that area with two since there are two larger equal triangles.

------------------------------------------------------------

12 + 60 = 72

Answer:

2

Step-by-step explanation:

[tex] \sqrt[3]{9 - 1} \sqrt[3]{8} \\ = 2[/tex]

Answer:

The inverse of this expression is the multiplication of 4. Answer: 4r, or 4 times r

Step-by-step explanation:

So first off, multiplication is the inverse of division, therefore, dividing r by 4 is the inverse of multiplying r by 4, so the answer is 4r.

Answer:

- 362.5t + 1100

Step-by-step explanation:

Given :

Value, = v ; time, = t

t1, v1 = (0, 1100)

t2, v2 = (2, 375)

Slope, m = v2 - v1 / t2 - t1

m = (375 - 1100) / (2 - 0)

m = - 725 / 2

m = - 362.5

v - v1 = m(t - t1)

v - 1100 = - 362.5(t - 0)

v - 1100 = - 362.5t

v = - 362.5t + 1100

Answer:

Step-by-step explanation:

12.8 feet

Answer:

The answer is probably D since red and blue combined is 30 which is greater than green and yellow combined which is 20

Answer:

D

Step-by-step explanation:

Answer:

It should be Ratio and Proportions .

Answer:

Step-by-step explanation:

a proportion.  Both ratios are the same thing. If you divide 15000 by 30 you get 500

If you divide 210 by 30, you get 7

It is always true that a proportion will have equal equal ratios on either side of the equal sign.

Answer:

31000

Step-by-step explanation:

hope this helps :)

Answer:

31000

Step-by-step explanation:

Answer:

14 units

Step-by-step explanation:

Answer:

$203.04

Step-by-step explanation:

The computation is shown below:

23 ounces to be $0.36

And,

69 ounces be  x

So here x

= (69 ounces × $0.36) ÷ 23 ounces

= $1.08

Since there is 188 samples, so the total value is  

= $1.08 × 188

= $203.04

Answer:

75%

Step-by-step explanation:

3 is 75 the way to 4 so it would be 75%

3.5x+15

Step-by-step explanation:

Answer:

The answer is 11 units

Step-by-step explanation:

I just took the test, plus if you were to lay the side MN down to next to MQ, it would be similar but, a little be shorter. Also if you were to think of it, 8 units would be too short and 15 units would be too long, 10 units would of made MQ look the same length as MN, but MQ was longer just by a bit. Thus, makes 11 units the answer.

Hopes this helps!

For the given quadrilateral MNPQ, the length of MQ is 11 units.

Therefore, the option C is the correct answer.

Given that a quadrilateral MNPQ, with sides NP and MQ are parallel, ∠P = ∠Q = 90°, MN = 10, NP = 3 and PQ = 6.

We need to find the length of side MQ,

MQ = MR + RQ............(i) [segment addition property]

To find MR and RQ, we will have to do a construction in the figure given,

(Refer to the diagram attached)

Join the segment NR, that will be equal and parallel to PQ and perpendicular to MQ.

So, we get NPQR as a rectangle, according to the property of a rectangle its opposite sides are equal,

So, we get,

QR = 3 and NR = 6.

Also, we have a right triangle MNR, where MN is the hypotenuse,

Using the Pythagoras theorem, we can find the length of MR,

MR² = MN² - NR²

MR = √(10² - 6²)

MR = √(100 - 36)

MR = √64

MR = 8

Putting the values of MR and QR in equation (i), we get,

MQ = MR + RQ

MQ = 8 + 3

MQ = 11

Hence the length of MQ is 11 units.

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#SPJ2

Answer:

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Answer: 43.48 Pounds

Step-by-step explanation:

Given

Elizabeth has 43.479 pounds of soil

Rounding off to the nearest tenth of a pound

Consider 79 which occurs after the decimal place

Converting it to 80 as it is nearest to 80

So, we can write 43.479 as 43.48 Pounds

Answer:

[tex]x^{2} - 2x + y^{2} - 8y = 8[/tex]

Step-by-step explanation:

Standard form for a circle is:

[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]      (h, k) is the center    r is the radius

[tex](x - 1)^{2} + (y - 4)^{2} = 5^{2} \\x^{2} - 2x + 1 +y^{2} - 8y + 16 = 25\\x^{2} - 2x + y^{2} - 8y = 8[/tex][tex]x^{2} - 2x + y^{2} - 8y = 8[/tex]

Answer:

60 packets

Step-by-step explanation:

Given that :

Unit cost of 20 packets

$5.49 / 20 =$0.2745

Unit cost of 60 packets :

$10.97 / 60 = $0.1828333

Unit cost of 90 packets :

$18.95 / 90 = $0.2105555

The 60 packets has the least cost per unit, hence it is the best buy.

Answer:

No, not really.

Step-by-step explanation:

It kinda depends on what your best friend does. Do they act suspicious around you? Feel free to talk to me if you need help.

Answer:

2 19/20 minutes

Step-by-step explanation:

Julio had 20 minutes to do a three-problem quiz. He spent 11 1 /4 minutes on question A and 5 4 /5 minutes on question B. How much time did he have left for question C?

The total number of minutes =

Number of minutes spent doing question (A + B + C)

Hence,

Hence, the number of minutes he had left for Question C is calculated as:

20 minutes - ( 11 1/4 + 5 4/5) minutes

20 minutes - ( 11 + 5 ( 1/4 + 4/5))

Lowest common denominator = 20

20 minutes - ( 16 + ( 5 + 16/20)

20 minutes - ( 16 + 21/20) minutes

20 minutes - (16 + 1 1/20) minutes

20 minutes - 17 1/20 minutes

= 2 19/20 minutes

Therefore he had 2 19/20 minutes left for Question C

Answer:

x=3

Step-by-step explanation:

10x - 15 = 15

10x = 15 + 15

10x = 30 (divide both sides by 10 to get x)

10x/10 = 30/10

x = 3

Answer:

327 cm²

Step-by-step explanation:

The opposite faces of a cuboid are congruent , front and back, top and bottom, the two side faces, then

SA = 2(9.5 × 8) + 2(5 × 8) + 2(9.5 × 5)

     = (2 ×76) + (2 × 40) + (2 × 47.5)

     = 152 + 80 + 95

     = 327 cm²

Answer:

Step-by-step explanation:

SA = 2B + LA         B = area of base        LA = lateral area

B = area of the rectangle with length of 9.5 and width of 5

  = 9.5(5) = 47.5

LA = perimeter of base times the height

    = [2(9.5) + 2(5)] (8)

    = (19 + 10)(8)

    = 29(8)

    = 232

SA = SA = 2B + LA  = 2(47.5) + 232

     = 95 + 232

     = 327 sq cm

Step-by-step explanation:

Given

[tex] \frac{2}{5} \times rs75 \\ = rs \: 15 \times 2 \\ = rs \: 30[/tex]

Hope it will help :)

Answer:

2÷5×75=30

Step-by-step explanation: