what is the total amount of sap produced that day?

Answer:

1)  The correct options are;

2) Yes, the quadrilateral meets the condition for the definition of a kite

Step-by-step explanation:

1) A kite has two pairs of adjacent equal sides, therefore a kite consists of two isosceles triangles adjacent to each other sharing the same base

Which shows that the diagonals which consists of the base of the two isosceles triangles and the bisector of the angles on the opposite sides of the common base of the isosceles triangles are perpendicular to each other

Therefore, the correct options are;

2) The coordinates of the given quadrilateral are;

D = (-3, 4), A = (3, 6), B = (5, 0), C = (-2, -4)

Therefore, the length of DA = √((-3 - 3)² + (4 - 6)²) = 2·√10

the length of AB = √((5 - 3)² + (0 - 6)²) = 2·√10

The length of DC = √((-3 - (-2))² + (4 - (-4))²) = √(65)

The length of CB = √((-2 - 5)² + (-4 - 0)²) = √(65)

Therefore, the figure has two pairs of congruent consecutive sides but not all four sides

The slope of the bisector CA = (6 -(-4))/(3 - (-2)) = 2

The slope of the bisector DB = (0 - 4)/(5 - (-3)) = -0.5 = -1/2

Therefore, the diagonals are perpendicular which shows that the quadrilateral meets the condition for the definition of a kite.

Answer: (A) [tex]2.2\text{ in}^3/\text{cookie}[/tex] .

Step-by-step explanation:

From the given table , the dimension of the container for the 90cookies = 11 inch x 6 inch x 3 inch

Then, the volume of the container would be [tex]11\times6\times3= 198 \ in^3[/tex]

Then, the ratio of cubic inches per cookie would be

[tex]=\dfrac{\text{Volume of container}}{\text{Number of cookies in it}}\\\\=\dfrac{198}{90}\\\\=2.2\text{ in}^3/\text{cookie}[/tex]

So, the the ratio of cubic inches per cookie would be [tex]2.2\text{ in}^3/\text{cookie}[/tex] .

Hence, the correct option is (A) [tex]2.2\text{ in}^3/\text{cookie}[/tex] .

Answer:

168in³

Step-by-step explanation:

Volume of a rectangular pyramid is: [tex]V=\frac{lwh}{3}[/tex]

We are given the measurements of:

9 inches long

8 inches wide

7 inches tall

[tex]V=\frac{9*8*7}{3} \\\\V=\frac{504}{3} \\\\\boxed {V=168}[/tex]

The volume of the figure should be 168in³.

Answer:

log x

Step-by-step explanation:

y= e^x

taking logaritm on both sides.

log y = x = f-¹(x)

Therefore inverse of function equals log y

plato gang :D

Answer:

B.$43.95

Step-by-step explanation:

Commission = 15% of $

[tex] = \frac{15}{100} \times 293 \\ \\ = 0.15 \times 293 \\ = \$ 43.95[/tex]

Answer:

x^-2

Step-by-step explanation:

(x*x*x)/(x*x*x*x*x)

1/x*x

1/x^2

x^-2

Answer: 1 / x^2

Step-by-step explanation:

x^3 / x^5

= x^-2

= 1 / x^2

Step-by-step explanation:

30 - 5x > 2x + 9

-7x > -21

x < 3

Answer:

[tex]SU = 20[/tex]

Step-by-step explanation:

Given

Triangle TSU

Bisector TX

Required

Length of SU

A line is said to be a perpendicular bisector if and only if it divides a line segment into two equal lengths;

This means that line TX divides line SU into two equal part.

This implies that

[tex]SU = SX + UX[/tex]

and

[tex]SX = UX[/tex]

Substitute [tex]SX = UX[/tex]; The expression becomes

[tex]SU = UX + UX[/tex]

Recall that [tex]UX = 10[/tex];

So, the above expression becomes

[tex]SU = 10 + 10[/tex]

[tex]SU = 20[/tex]

Hence, the length of is 20

Answer:

The vertical angles theorem

Step-by-step explanation:

The correct answer is the vertical angles theorem, which states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent

Answer:

Step-by-step explanation:

3) ∠JKN =∠ MKL Vertical angles theorem  - Vertically opposite angles are equal

4) ΔJKN ≅ΔMKL     AAS congruency

5) ∠J ≅ ∠ M    CPCTC

Answer:

g = 12

Step-by-step explanation:

–19g = –20g + 12

Add 20 g to each side

–19g+20 g = –20g+ 20g + 12

g = 12

Answer:

g = 12

Step-by-step explanation:

→The first step is to add 19g to both sides:

-19g = -20g + 12

+19g   +19g

____________

0 = -g + 12

→Subtract 12 from both sides:

0 = -g + 12

-12       -12

_________

-12 = -g

→Divide both sides by -1:

12 = g

[tex]364 \times 3[/tex]

[tex]= 1092[/tex]

Answer:

The graph moves 4 right and 12 down.

Step-by-step explanation:

So let me rewrite the function into all variables:

y = |x + z| + a

If z goes up, the graph moves right.

If z goes down, the graph moves left.

If a goes up, the graph moves up

If a goes down, the graph moves down.

The graph moves 4 right and 12 down.

Answer:

48%

Step-by-step explanation:

12 out o 25 are broken

so, 12/25 = .48 * 100 = 48%

Hope this helps!

Answer:

The answer to this question is 48% is broken

it is b I hope this work for you

The answer is B i.e. one

Answer:

k = - 3

Step-by-step explanation:

Given

9kx + 12ky = 63

Since x = - 1 and y = - 1 are solutions of the equation

Substitute x = - 1 and y = - 1 into the equation and solve for k

9k(- 1) + 12k(- 1) = 63, that is

- 9k - 12k = 63

- 21k = 63 ( divide both sides by - 21 )

k = - 3

Answer:

C  y =2x -3  

Step-by-step explanation:

The y intercept is the value when x =0

A y = -4x+15   The y intercept is 15

B The y intercept is -2

C  y =2x -3   The y intercept is -3

D   The y intercept is 2

The smallest ( least) y intercept is -3

Answer:

u = 9  and u = -9

Step-by-step explanation:

u^2 = 81

Take the square root of each side

sqrt(u^2) =± sqrt(81)

u = ±9

Answer:

Brainliest!!!

Step-by-step explanation:

[tex]\sqrt{81}[/tex] or ±9

they both equal the equation u^2 = 81

Step-by-step explanation:

each can is R is 4 so her width is 8. 6×8= 48 4×8=32 so it means the cardboard is 32×48. now calculate the area (1536 i think) and reduce 24×4^2×pi that this is the area of the cans.

Answer:

Step-by-step explanation:

f(x)=4x+1

g(x) = x^2-5

(f*g)(x) = 4x^3+x^2-20x-5

Answer:

6^21 = B

Step-by-step explanation:

[tex][6^{7} ]^{3} \\(6)^7^*^3\\6 ^{21} \\[/tex]

Answer:

B

Step-by-step explanation:

When solving exponents with parenthesis around the base + sub exponent, always multiply the two exponents. Basically, when the two exponents are right next to each other, you multiply them. When you multiply 7 and 3, you get 21; therefore, the answer is 6 to the power of 23.

Answer:

y = 2x - 4

Step-by-step explanation:

Slope intercept form should be the easiest because they give you all you need.

y = mx + b

m = 2

b = -4

y = 2x - 4

Answer:

-9s2 + 4s -2

Step-by-step explanation:

(–6s2 + 12s – 8) – (3s2 + 8s – 6)=

(-6s2-3s2) +12s-8s -8+6=

-9s2 + 4s -2

Answer:

[tex]-9s^2+4s-2[/tex]

Step-by-step explanation:

Answer:

x = 52y

Step-by-step explanation:

Answer:

Edge length of the cube = 27 m

Dimensions of the box is length = 135 m, width = 81 m, height = 27 m

Step-by-step explanation:

The box contains 15 identical cubes therefore, we have

Edge length of cube = Side, s, of cube

15 × s³ = 295245 m³

∴ s³ = 295245/15 = 19683 m³

s = ∛19683 = 27 m

Hence the edge length of the cube = 27 m

The dimension of the box is length =  5 × 27 = 135 m

Width = 3 × 27 = 81 m

height = 27 m.

Answer:

6

Step-by-step explanation:

There are 6 different tiles choose 1

There are 6 different possible outcomes

Answer:

95 degrees

Step-by-step explanation:

a triangle's interior angles add up to 180 add the two known angles subtract by 180 and you get the answer.

55 + 30 = 85

180 - 85 = 95

95 degrees

Answer:

C =95

Step-by-step explanation:

The sum of the angles of a triangle is equal to 180 degrees

A + B + C = 180

55 + 30 + C = 180

Combine like terms

85 + C = 180

Subtract 85 from each side

85+C - 85 = 180-85

C =95

Answer:

x>3

Step-by-step explanation:

2x + 10 < 5x + 1

Add -5x and -10 on both sides of the inequality.

2x + 10 -10 -5x < 5x + 1 -5x -10

2x -5x < 1 -10

Subtract like terms.

-3x < -9

Multiply -1 and reverse the inequality.

3x>9

Divide 3 into both sides of the inequality.

3x/3>9/3

x>3

Answer: x > 3

Step-by-step explanation: Put your x's together on the left side of the inequality by subtracting 5x from both sides to give you -3x + 10 < 1.

Next, put your numbers together on the right by

subtracting 10 from both sides and we have -3x < -9.

To get x by itself, divide both sides by -3, but watch out.

If you multiply or divide both sides of an inequality by a negative,

you must switch the direction of the inequality sign.

Please give this idea your full attention.

Even the most advanced algebra students will sometimes forget to

switch the direction of the inequality sign when multiplying or

dividing both sides of an inequality by a negative.

So we have x > 3 as our answer.

I have graphed the solution below.

Answer:

Surface area of the given prism = 63 square feet

Step-by-step explanation:

Surface area of the given triangular prism = Area of two triangular bases + Area of three vertical rectangles

Area of triangular bases = 2[[tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]] (Since the bases of this prism are right triangles)

                                        = 3 × 3

                                        = 9 square ft

Area of one vertical rectangular face = (Length × Width)

                                                             = (3 × 6)

                                                             = 18 square feet

Area of all vertical sides = 3 × 18 = 54 square feet

Total surface area = 9 + 54 = 63 square feet