1
VOLUME OF RECTANGULAR PRISMS
4 cm
1
7.5 cm
18 cm

Answer:

3.74 mph

Step-by-step explanation:

412÷110=3.74

Answer:

D. X =0 and x=6

Step-by-step explanation:

Because it is where the line intercepts with the x -axis and it isn’t where the line touches the y axis

Answer:

A

Step-by-step explanation:

(40.50 + 56.95) + 25.75 ; 25.75 + (40.50 + 56.95) correctly represent the situation using the commutative property.

The number of tourists that only visited the Universal Studios is: 367.

Universal set W of 1007 tourists

Subsets

M of 266 tourists;

L of 282 tourists;

Their in-pairs intersections

ML of 50 tourists;

MU of 59 tourists

LU of 89 tourists

Their triple intersection

MLU of 17 tourists.

Number of tourists who visited only Universal studio

n(M U L U U) = m(M) + n(L) + n(U) - n(M ∩ L) - n(M ∩ U) - n(L ∩ U) + n(M ∩ L ∩ U)

n(M U L U U)= 266 + 282 - 50 - 59 - 89+ 17

n(M U L U U)= 367

Therefore the number of tourists that only visited the Universal Studios is: 367.

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Answer:

85°

Step-by-step explanation:

The two angles are known as vertical angles, which are always congruent

Answer:

∠DEB = 85°

Step-by-step explanation:

Vertical Angle Theorem

When two straight lines intersect, they form two pairs of angles.  The vertically opposite (non-adjacent) angles are congruent.

Angles AEC and DEB are vertically opposite angles, therefore:

∠AEC = ∠DEB

As ∠AEC = 85° then ∠DEB = 85° also.

Answer:

16.8 is the answer to this question.

Answer:

33.6

Step-by-step explanation:

Its area = base * height = 8 * 4.2 = 33.6

Answer:

[tex]\textsf{a)} \quad P=-20(x-2)^2+3380[/tex]

b)  cost of ticket = $13

    max profit = $3380

    number of tickets sold = 260

Step-by-step explanation:

Profit equation:   [tex]P=20(15-x)(11+x)[/tex]

Vertex form of quadratic equation:  [tex]y=a(x-h)^2+k[/tex]

(where (h, k) is the vertex and [tex]a[/tex] is some constant)

First, write the given profit equation in standard form [tex]ax^2+bx+c[/tex]:

[tex]\begin{aligned}\implies P&=20(15-x)(11+x)\\& = 20(165+4x-x^2)\\& = -20x^2+80x+3300\end{aligned}[/tex]

Factor -20 from the first two terms:

[tex]\implies P=-20(x^2-4x)+3300[/tex]

Complete the square:

[tex]\implies P=-20(x^2-4x+4)+80+3300[/tex]

[tex]\implies P=-20(x-2)^2+3380[/tex]

The vertex of the profit equation is (2, 3380).

Therefore, the cost of the ticket is when x = 2 ⇒ $11 + 2 = $13

The maximum profit is the y-value of the vertex:  $3380

The number of tickets sold at this price is:

⇒ max profit ÷ ticket price

= 3380 ÷ 13

= 260

Answer:

I got 5-20

Step-by-step explanation:

Try this suggested option, answers are marked with colour.

The sum of the angles in the triangle must be equals to 180 degrees for it to be the angle measure of a triangle.

The sum of angles in a triangle is equals to 180 degrees.

Therefore, adding up the three angles in a triangle must be equals to 180 degrees.

Hence,

42 + 34 + 56 = 132 degrees

This does not form a triangle.

35 + 80 + 65 = 180 degrees

This can be the angle measure of a triangle.

15 + 51 + 24 = 90 degrees

This cannot be the angle measure of a triangle.

18 + 42 + 120  = 180

This can be the angle measure of a triangle.

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Answer:

A=28.95502437A=28.95502437B=104.47751218B=104.47751218C=46.56746344C=46.56746344a=4a=4b=8b=8c=6

Step-by-step explanation:

the scale factor of similar objects apply to every line and side length.

we see here the ratio of small side length to large side length is 3/9 = 1/3.

so the small side length is 1/3 if the large side length.

a surface is airways the multiplication of 2 dimensions. so, the scale factor is to be used twice in this multiplication and therefore squares.

so, small surface to large surface is 1/3 × 1/3 = 1/9.

and a volume is airways the result of a multiplication of 3 dimensions. so, the scale factor is then 3 times in that multiplication and is therefore cubed.

so, small volume to large volume is 1/3 × 1/3 × 1/3 = 1/27

Answer:

29 center (3,-5) radius=2

30 center (0,0) radius=2/3

Answer:

  $47,039

Step-by-step explanation:

The time-value-of-money (TVM) functions of a calculator or spreadsheet can be used to find the present value of a series of $600 payments, discounted at 5.2% compounded monthly. (See the attachment for an example.) The present value is found to be about $47,039.

The owner can afford to borrow up to $47,039.

__

This can be figured "by hand" using the amortization formula.

  A = P(r/12)/(1 -(1 +r/12)^(-12·t))

A is the payment on a loan of principal P at annual rate r for t years, compounded monthly.

Solving for P, we have ...

  P = 12A(1 -(1 +r/12)^(-12t))/r = 12·600(1 -(1 +0.052/12)^-96)/0.052

  P ≈ 47039.0653

The owner can borrow up to $47,039.

Answer:

5/33

Step-by-step explanation:

Probability of first caller (comedy) = 5/(3+4+5) = 5/12

Probability of second caller (action) = 4/(3+4+4) = 4/11

Probability of both = 5/12 * 4/11 = 5/33

Answer:

x = 48

Step-by-step explanation:

(x - 6)⁰ + ( 2x + 42)⁰ = 180⁰

x - 6⁰ + 2x + 42⁰ = 180⁰

x + 2x - 6⁰ + 42⁰ = 180⁰

3x + 36⁰ = 180⁰

3x + 36⁰ - 36⁰ = 180⁰ - 36⁰

3x = 144⁰

3x / 3 = 144⁰ / 3

x = 48

Hope this helps, thank you :) !!

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{5 +1}{3 -1}\implies \cfrac{6}{2}\implies 3[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{3}(x-\stackrel{x_1}{1}) \\\\\\ y+1=3x-3\implies y=3x-4[/tex]

Answer:

8.062257748

If you need any other help , please let me know ! [ you'll have to pay ]

Answer:

19 minutes.

Step-by-step explanation:

49  - 30

= 19 minutes.

Answer:

the answer is 67 square inches.

Answer:

Area = 67 sq in

Step-by-step explanation:

To solve this is quite easy, we'll first divide the shape into 3 separate shapes, that being 2 rectangles and a triangle.

Triangle:

A=AB/2

A=6*4/2

A=12

Large Rectangle:

(please note that by looking at the size of other shapes we can use their size to justify this shapes size!)

A=AB

A=5*9

A=45

Small Rectangle:

A=AB

A=2*5

A=10

Now we simply add all of our areas together which gives us a total of 67!

Hope this helps! -SC

(Let me know if the answer is wrong so I can change my response and help others!)

Answer:

72+30=102

Step-by-step explanation:

0+2=2

7+3=10 so the answer

10

+002

102

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad Q(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{[-3 - 2]^2 + [-6 - 2]^2}\implies PQ=\sqrt{(-5)^2+(-8)^2} \\\\\\ PQ=\sqrt{25+64}\implies PQ=\sqrt{89}\implies \boxed{PQ\approx 9.4}[/tex]

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ P(\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad Q(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -3 + 2}{2}~~~ ,~~~ \cfrac{ -6 + 2}{2} \right)\implies \left(\cfrac{-1}{2}~~,~~\cfrac{-4}{2} \right)\implies \left( -\cfrac{1}{2}~~,~~-2 \right)[/tex]

Answer: [tex]x=4[/tex]

Step-by-step explanation:

[tex]2x-7+x=5[/tex]

Group like terms:

[tex]\left(2x+x\right)-7=5[/tex]

Simplify the arithmetic:

[tex]3x-7=5[/tex]

Add 7 to both sides:

[tex]3x-7+7=5+7[/tex]

Simplify the arithmetic:

[tex]3x=5+7[/tex]

Simplify the arithmetic:

[tex]3x=12[/tex]

Divide both sides by 3:

[tex]\frac{3x}{3}=\frac{12}{3}[/tex]

Simplify the fraction:

[tex]x=\frac{12}{3}[/tex]

Find the greatest common factor of the numerator and denominator:

[tex]x=\frac{4\cdot 3}{1\cdot 3}[/tex]

Factor out and cancel the greatest common factor and the answer will be:

[tex]x=4[/tex]

The approximate space required to store the bales is 4.6 cubic meters if the bale has a diameter of 1.5 m and a height of 2.6 m.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

We know the radius will be half of the diameter:

r = 1.5/2 = 0.75 m

h = 2.6 m

V = π(0.75)²(2.6)

V = 4.59 ≈ 4.6 cubic meters

Thus, the approximate space required to store the bales is 4.6 cubic meters if the bale has a diameter of 1.5 m and a height of 2.6 m.

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Answer:

( 0 , -7 ) , (5 , -7 ) , (1 , -5 )

Answer:

-9 degrees.

Subtract 20 from 11 to get -9.

Answer: 19

Step-by-step explanation: