Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism. The base of the prism has an area of 3 ft2, and the prism stands 3.2 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 35 ft2.
Leo is asked to purchase roping that will be used to close off the area around the statue. He purchases a length that is five times the perimeter of the stand in roping.
How much roping does he purchase?
Leo plans to add gold leaf to the sides of the stand but not to the two bases.
What percent of the area of the stand will have gold leaf? Round your answer to the nearest whole number.

Answer:

  3/4

Step-by-step explanation:

You can form the product, then cancel common factors, or you can cancel common factors before you form the product.

__

  [tex]5\times\dfrac{3}{20}=\dfrac{15}{20}=\dfrac{3\cdot5}{4\cdot5}=\boxed{\dfrac{3}{4}}\\\\\textsf{or ...}\\\\5\times\dfrac{3}{20}=\dfrac{5}{20}\cdot\dfrac{3}{1}=\dfrac{1}{4}\cdot\dfrac{3}{1}=\boxed{\dfrac{3}{4}}[/tex]

Answer:

8x^3y^3

Step-by-step explanation:

Thats the answer but the ones with the symbol are up

To simplify this, we must simply power every component within the parentheses by 3

   [tex](2xy)^3=2^3*x^3*y^3 = 8x^3y^3[/tex]

Hope that helps!

Using the combination formula, it is found that your family could choose the desserts in 495 ways.

The order in which the desserts are chosen is not important, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 4 desserts are chosen from a set of 12, hence:

[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]

Your family could choose the desserts in 495 ways.

More can be learned about the combination formula at https://brainly.com/question/25821700

Answer:

that is not a function

Step-by-step explanation:

Usando proporciones, hay que:

Una proporción es una fracción de la cantidad total.

En este problema, dos automovis, en sentidos opostos, salen al mismo tiempo. Por eso, su velocidad relativa es de 90 km/h + 80 km/h = 170 km/h.

La distancia es de 255 km, por eso, el tiempo en que se encontraran, en horas, es dado por:

t = 255/170 = 1.5h

La distancia recorrida por cada auto es dada por:

dA = 90 x 1.5 = 135 km.

dB = 80 x 1.5 = 120 km.

Puede-se aprender mas a cerca de proporciones en brainly.com/question/26425852

Answer:

28+2x

Step-by-step explanation:

simplificar la expresión.

Answer:

1 = 123 degrees

Step-by-step explanation:

A Triangle = 180 degrees

A flat line = 180 degrees

To solve this, we need to figure out the triangle first :)

60 + 63 + t = 180

123 + t = 180

180 - 123 = 57

Now that we know the triangle, we can figure out x :)

180 - 57 = 123

1 = 123

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

673.82 cm³

Explanation:

cylinder volume : [tex]\sf \pi r^2h[/tex]

[tex]\rightarrow \sf \pi (4.3)^2(11.6)[/tex]

[tex]\rightarrow \sf 673.82 \ cm^3[/tex]

Step-by-step explanation:

2 ( 5 - 3 ) + 3 ( 3 )

2 × 2 + 9 = 4 + 9 = 13

Answer:

23

Step-by-step explanation:

Answer:

14.4

Step-by-step explanation:

We have hypotenuse so cannot use tangent. We have adjacent so we can't use sine, therefore, we have to use cosine.

x = cos(59) x 28

x = 14.4

Answer:

The correct answer is D.

I hope this helps

[tex]\dfrac 84 \times \dfrac 34\\\\\\=2 \times \dfrac 34\\\\\\=\dfrac 32\\\\\\=1.5[/tex]

Step-by-step explanation:

First divide 8 by 4 and 3 by 4

it will be 2×0.75=1.5

Answer:

y = 3x - 2

Step-by-step explanation:

Use the point-slope equation since we are given a point that the line passes through and its slope:

y - y1 = m(x - x1)

(-2, -8), m = 3

Substitute these values into the equation.

The equation of the line that passes through the point (-2, -8) and has a slope of 3 is y = 3x - 2.

Answer:

C 10

Step-by-step explanation:

Heron's formula to calculate the area of a triangle based on 3 sides :

p (half the perimeter) = (a+b+c)/2

area = sqrt(p(p-a)(p-b)(p-c))

AB = c = sqrt(2² + 6²) = sqrt(40) = sqrt(4×10) = 2×sqrt(10)

AC = a = sqrt(2² + 4²) = sqrt(20) = sqrt(4×5) = 2×sqrt(5)

BC = b = sqrt(2² + 4²) = 2×sqrt(5)

p = 2×sqrt(5) + sqrt(10)

area = sqrt((2×sqrt(5) + sqrt(10))×sqrt(10)×sqrt(10)×(2×sqrt(5) - sqrt(10)) =

= sqrt(10×(2×sqrt(5) + sqrt(10))×(2×sqrt(5) - sqrt(10))) =

= sqrt(10×(4×5 - 10)) = sqrt(10×(20 - 10)) = sqrt(10×10) = 10

Answer: y = x + 6

Step-by-step explanation:

[tex]\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:perpendicular\:to\:}y=-x-2\mathrm{\:that\:passes\:through\:}\left(-2,\:4\right)[/tex]

[tex]\mathrm{For\:a\:line\:equation\:for\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is\:}\mathbf{m}[/tex]

[tex]m=-1[/tex]

[tex]\mathrm{The\:perpendicular\:slope\:is\:the\:negative\:reciprocal\:of\:the\:given\:slope}[/tex]

[tex]\left(-1\right)m_p=-1[/tex]

[tex]\frac{\left(-1\right)m_p}{-1}=\frac{-1}{-1}[/tex]

[tex]m_p=1[/tex]

[tex]\mathrm{Compute\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:for\:slope\:m=}1\mathrm{\:and\:passing\:through\:}\left(-2,\:4\right)[/tex][tex]\mathrm{Plug\:the\:slope\:}1\mathrm{\:into\:}y=mx+b[/tex]

[tex]y=x+b[/tex]

[tex]\mathrm{Plug\:in\:}\left(-2,\:4\right)\mathrm{:\:}\quad \:x=-2,\:y=4[/tex]

[tex]4=\left(-2\right)+b[/tex]

[tex]-2+b=4[/tex]

[tex]\mathrm{Add\:}2\mathrm{\:to\:both\:sides}[/tex]

[tex]-2+b+2=4+2[/tex]

[tex]\text{Simplify}[/tex]

[tex]b=6[/tex]

[tex]\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=1\mathrm{\:and\:}\mathbf{b}=6[/tex]

[tex]y=x+6[/tex]

Answer:

2 cartons

Step-by-step explanation:

Hey! To start, we need to determine what we already know, Martine needs 8 cups worth of broth, but can only find 32-fluid ounce cartons.

Next, we need to find what we need to know, how many fluid ounces are in a cup? There are 8 fluid ounces in 1 cup!

Now, all we need to do is convert our cups to be able to find out how many cartons we need! So, to do this, we are going to multiply our number of cups by the number of fluid ounces in just 1 cup (so 8!).

8 cups x 8 fluid ounces (per 1 cup) = 64 fluid ounces

So! Martina needs 64 fluid ounces of broth to be able to create her recipe!

But, we aren't finished just yet, as we need to find how many cartons Martina needs! Like we did before, we know that there a 32 fluid ounces in 1 carton so if we have 64 fluid ounces in the recipe, all we need to do is divide 64 by 32 to find out how many cartons we need!

64 fluid ounces (8 cups worth) ÷ 32 fluid ounces (per carton) = 2 cartons

Melina needs to buy 2 cartons of broth to be able to complete her recipe.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Using the relation between velocity, distance and time, it is found that:

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

A plane traveling with the wind travels 900 miles in 5 hours, hence:

[tex]v_a + v_w = \frac{900}{5}[/tex]

[tex]v_a + v_w = 180[/tex]

The return trip is against the wind and takes 9 hours, hence:

[tex]v_a - v_w = \frac{900}{9}[/tex]

[tex]v_a - v_w = 100[/tex]

From the first equation, we have that:

[tex]v_w = 180 - v_a{/tex]

Replacing on the second:

[tex]v_a - v_w = 100[/tex]

[tex]v_a - 180 + v_a = 100[/tex]

[tex]2v_a = 280[/tex]

[tex]v_a = 140[/tex]

[tex]v_w = 180 - 140 = 40{/tex]

Hence:

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

Answer:

350ml

Step-by-step explanation:

70% of 500=

500 divided by 10=50

50x7=350ml

Answer:

juice contained in large bottle = 500 ml

juice contained in medium bottle = 70% of large bottle

= 70 % of 500 ml

= 70/100 × 500

= 350 ml

Answer:

Step-by-step explanation:

where is exercise 4-9?

or at least give us the equation

Answer:

option D 201.1km²

Step-by-step explanation:

Area of sector=∅/360×πr²

=90/360×22/7×16×16

=1/4×22/7×16×16

=22/7×64

=1408/7

=201.1km²

Answer:

LN is a radius

Step-by-step explanation:

a segment drawn from the centre of a circle to a point on the circle is a radius.

Answer:

Radius

Step-by-step explanation:

The radius of a circle is a line segment whose endpoints are the center point of the circle and a point on the circumference of the circle.

Answer: 578

Step-by-step explanation:

12 x 7 = 84

13 + 8 + 4 + 10 = 25

25 x 14 = 350

4 x 10 = 40

8 x 13 = 104

84 + 350 + 40 + 104 = 578

Answer:3 1/3 pizza in total but 3 whole pizzas

Step-by-step explanation:

if you add 2/3+2/3+2/3+2/3+2/3 you get 3 1/3 but its asking how many whole pizzas their are so 3.

Answer:

21/2

Step-by-step explanation:

10.5 is correct, but that's a decimal

21/2=10.5

Answer:

21/2

Step-by-step explanation:

10*2 = 20

then 20 + 1 = 21

to get your answer which is 21/2

PLEASE RATE!! I hope this helps!!

If you have any questions let me know

Answer:

The answer is 4000 m³

Step-by-step explanation:

Now,

Rate of water flow = 2 km/hour

= 2000m/60min

= 100 m per min

Now, Volume of water flowed in 1 min,

= (100/3) × 40 × 3 = 4000m³

Thus, 4000 m³ of water will fall into the sea in a minute.

Answer:

1a) 9+9+9+9=36

b) 9×9=81. Hope this helped