Calculate the surface area of the following prism
I will give brainliest too

In case you need formula :
Total area of the lateral faces + 2 x base area = perimeter of the base x height + 2 x base area

Answer:

total no. of rows in garden= 345 each row contains= 48 flowers

total no. of flowers in the garden= 345*48=16560

Answer:

16,560

Step-by-step explanation:

No of rows = 345

No. of flowers in each row = 48

Estimated no of flowers in the garden

= No of rows * No of flowers in each row

= 345*48

= 16,560

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We apply the pythagorean theorem to find this answer.

a = 11 and b = 6 are the given legs

c = unknown hypotenuse

So,

a^2+b^2 = c^2

c = sqrt( a^2+b^2 )

c = sqrt( 11^2 + 6^2 )

c = sqrt( 121 + 36 )

c = sqrt( 157 )

c = 12.52996 approximately

c = 12.5

Side note: once you replace 'a' and b with 11 and 6, you can compute everything with a calculator in one single step more or less. The steps above are shown if you wanted to find the exact value sqrt(157).

Answer:

[tex]C. a = 118^o; b = 49^o; c = 144^o; d = 98^o[/tex]

Step-by-step explanation:

[tex]a=2(59)\\\\a=118^o[/tex]

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[tex]b=180-(59+72)\\\\b=180-131=\\\\b=49^o[/tex]

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[tex]C=2(72)\\\\C=144^o[/tex]

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[tex]d=2b\\\\d=2(49)\\\\d=98^o[/tex]

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hope it helps...

have a great day!!

Answer:

D. y = –3x2

Step-by-step explanation:

Answer:

y = -3x^2

Step-by-step explanation:

A quadratic function has a leading coefficient which determines its width. When |a| < 1 the graph is wider. When |a| > 1 the graph is narrower. This means y = -3x^2 is the narrowest graph since 3 is the greatest.

Answer:

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hope it helps...

have a great day!!

Answer:

The vertex of g(x) is (-4, -2)

Step-by-step explanation:

Let's define general translations:

Vertical translation:

For a function f(x), a vertical translation of N units (So the whole graph of f(x) is translated N units in a given direction) is defined as:

g(x) = f(x) + N

such that:

If N is positive, the translation is upwards

if N is negative, the translation is downwards.

Horizontal translation:

Similar than before, for a function f(x) a horizontal translation of N units is written as:

g(x) = f(x + N)

Where, if N is positive, the translation is to the left

If N is negative, the translation is to the right.

Here, we have the transformation:

g(x) = f(x - 2) - 5

This is a transformation that moves the whole graph of f(x):

2 units to the right

5 units downwards.

So, if a point like (x, y) was in the graph of f(x)

After the translation, that point will be (x + 2, y - 5)

Then, if the original vertex was (-6, 3), the new vertex will be:

(-6 + 2, 3 - 5)

(-4, -2)

The vertex of g(x) is (-4, -2)

Answer:

Yes, he has enough pieces to wrap the present

Step-by-step explanation:

Given

[tex]Presents = 7[/tex]

[tex]Cuts = 6[/tex]

Required

Is there enough pieces to wrap all presents

As a general rule;

When a piece is cut in 1 place, you get 2 pieces

When a piece is cut in 2 places, you get 3 pieces

When a piece is cut in 3 place, you get 4 pieces

This implies that:

n cuts gives n + 1 pieces

i.e.

[tex]n \to n + 1[/tex]

So, we have:

[tex]6\ cuts \to (6 + 1) pieces[/tex]

[tex]6\ cuts \to 7\ pieces[/tex]

Hence, there are enough pieces.

Answer:where is the question

Step-by-step explanation:

Answer: 58 books

Step-by-step explanation:

There are 35 English books on the shelf and this constitutes 60% of the total number of books on the shelf.

Denoting the total number as x, the total number is:

35 = 60% * x

x = 35 / 60%

= 58 books

Answer:

13 degrees

Step-by-step explanation:

Triangles have to equal to 180 degrees

Answer:

[tex]180 = 154 + 13 + x[/tex]

Step-by-step explanation:

180= 154° + 13° + X

X = 180° - 154°- 13°

X = 13°

The its an ISOCELES triangle

Answer:

t = 3.46 hours, or 3 hours 28 minutes

Step-by-step explanation:

78 dozen donuts in 2 hours immediately reduces to 39 dozen/hour.

Donuts produced as a function of time:   D(t), where t is the number of hours the macine runs.

Set D(t) = 135 dozen = (39 dozen/hr)t.

Solving this equation for t, we get:

t = 135/39 hours, or t = 3.46 hours, or 3 hours 28 minutes

Answer:

D, E, F

Step-by-step explanation:

Answer:

D and F

Step-by-step explanation:

a parallelogram is a quadrilateral with two sets of parallel sides

a quadrilateral is a shape with 4 edges

Step-by-step explanation:

Given that,

Directrix, d= -5, and eccentricity, e = 2.

The polar equation of the conic is given by :

[tex]r=\dfrac{ed}{1-e\cos\theta}[/tex]

Put all the values,

[tex]r=\dfrac{-5\times 2}{1-2\cos\theta}\\\\=\dfrac{-10}{1-2\cos\theta}[/tex]

As e>1, it is a hyperbola. Hence, this is the required solution.

Answer:

375

Step-by-step explanation:

250+2/poster=1000

2/poster=750

poster =375

check answer

250+2(375)=1000

250+750=1000

1000=1000

Answer: 6 peppers per slice

Step-by-step explanation:

First we subtract, 27-3= 24

now every single slice has an equal amount of peppers.

24/4=6

Answer: 0  4  8  12  16

              30  27  24  21  18

Step-by-step explanation:

0 + 4 = 4       4 + 4  = 8     8 + 4 = 12   12 + 4 =  16

30 - 3 = 27     27 - 3 = 24    24 - 3 = 21    21 - 3 = 18

Answer:

Step-by-step explanation:

First column add 4  second column subtract 3

0,30

4,27

8,24

12,21

16,18

Step-by-step explanation:

distance covered by car each hour=50km

distance covered by car in four hours =4×50

200km for four hours

Just multiply 50km times 4

Answer:

See below...

Step-by-step explanation:

Zeros of the function:  [tex]f(x)=(x-8)(x+2)[/tex]

    The zeros are 8 and -2

The coordinates of the vertex:  [tex]f(x)=(x-3)^2-25[/tex]

     The vertex is the point (3, -25)

The y-intercept:  [tex]f(x)=x^2-6x-16[/tex]

     The y-intercept is -16

The axis of symmetry:  [tex]f(x)=(x-3)^2-25[/tex]

     The axis of symmetry is x = 3  (it goes through the vertex)

Answer:

Below.

Step-by-step explanation:

1) 245.

2) Approximate slope =  -(245-200)/15 = -3.

The y intercept is 250 and the slope is -10/3.

The equation of a line is linear in two variables, usually x and y, that is satisfied by points of the line.

We have the following ordered pairs in the line given:

(0, 250) and (30, 150)

Calculating the slope:

m = 150 - 250/ 30 - 0

m = -100/30

m = -10/3

Therefore, the slope is -10/3

Finding the y-intercept:

The equation of a line has the form:

y = mx + b, where m is the slope

Replacing by the values we know:

150 = -10/3 * 30 + b

b = 150 + 100

b = 250

Therefore, the y intercept is 250.

Hence the y intercept is 250 and the slope is -10/3.

Learn more about equation of a line, click;

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Answer:

326.56 sq in

Step-by-step explanation:

SA=2*3.14*4^2+2*3.14*4*9

SA= 100.48+ 226.08

SA= 326.56

Plug numbers in equation and then solve equation. R=4 and h=9.

Answer:

1 cup of brown sugar to 2 teaspoon of baking soda

Step-by-step explanation:

Given that 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda is needed to make 12 cookies. Therefore to make 24 cookies, double of this value would be needed.

Hence, 2.5 cups of flour, 220 grams of butter, 1 cup of brown sugar and 2 teaspoon of baking soda would be needed to make 24 cookies.

The ratio of brown sugar is to baking soda is to butter to make 24 cookies = 1 cup / 2 teaspoon = 1 cup of brown sugar to 2 teaspoon of baking soda

Answer:

1.04

Step-by-step explanation:

25/24=1.04166667

round: 1.04

Answer: [tex]12\ \text{min}[/tex]

Step-by-step explanation:

Given

It takes 20 min and 30 min for  a person and his friend to paint a wall individually  i.e.

In 1 min they cover [tex]\frac{1}{20}[/tex] part and [tex]\frac{1}{30}[/tex] part of wall respectively.

If the work together, 1 minute work is

[tex]\Rightarrow \dfrac{1}{20}+\dfrac{1}{30}\\\\\Rightarrow \dfrac{3+2}{60}\\\\\Rightarrow \dfrac{5}{60}[/tex]

Time required will be reciprocal of it

[tex]\Rightarrow \dfrac{60}{5}=12\ \text{min}[/tex]

Answer: C. 13.5

Step-by-step explanation:

9x3= 27

27 divided by 2= 13.5

The formula for the area of a triangle is: A = 1/2 * b * h

In this problem, we are given the base (9 ft) and the height (3 ft). Therefore, we can use the formula.

A = 1/2 * 9 * 3

A = 1/2 * 27

A = 13.5 ft^2

Hope this helps!! :)

Answer:

Step-by-step explanation:

A=lw

Answer:

A = bh

Step-by-step explanation:

you multiply the base length by the height length.

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-Chetan K

Answer:

[tex]\text{D. }b^2-4ac>0[/tex]

Step-by-step explanation:

The equation [tex]b^2-4ac[/tex] represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.

For any quadratic:

In the graph, we see that the equation intersects the x-axis at two distinct points. Therefore, the quadratic has two solutions and the discriminant must be positive. Thus, we have [tex]b^2-4ac>0[/tex].

where is the graph ?