PLEASE HELPPP TEST TMR PROBLEM ISW IN PHOTO BELOW

Answer:

The smallest possible value of k is 656

Step-by-step explanation:

The given width of the Eiffel Tower, w₁ = 328 feet

The given height of the Eiffel Tower, h₁ = 984 feet

The width of the space Maria can use on the shirt, w₂ = 0.75 feet

The height of the space she can use on the shirt, h₂ = 1.5 feet

We get;

The ratio of height to width of the Eiffel Tower = h₁/w₁ = 984/328 = 3

The height to width ratio of the space on the shirt = h₂/w₂ = 1.5/0.75 = 2

Therefore, that the aspect ratio of the space on the T-shirt is wider than the Eiffel Tower, the height of the space on the T-shirt is the limiting dimension of the scaled picture of the Eiffel Tower

Therefore, the scale factor, k = The ratio of the actual height of the Eiffel Tower, to the height of the space on the T-shirt

Where 'k' represent the integer value to shrink the Eiffel Tower and fit it on the T-shirt, and 'k' is the smallest ratios of the dimensions of width or height of the tower to the dimensions of the width or height of the space available on the shirt, given that the height to width ratio of the area on the shirt is smaller than that of the Eiffel Tower

Mathematically

k = h₁/h₂

∴ k = 984/1.5 = 656

The scale factor of the height of the Eiffel Tower to the height of the space available on the T-shirt, k = The smallest possible value of k = 656.

Answer:

9 is the answer

Step-by-step explanation:

You will multiply 3x3 and 9x1 it will have the least common denominator

Answer:

[tex]\text{(a) } x=11,\\\text{(b) } \angle C=12^{\circ}[/tex]

Step-by-step explanation:

The sum of the interior angles in a triangle is always equal to 180 degrees. Therefore, we have the following equation:

[tex](3x+28)+(5x+52)+(2x-10)=180[/tex]

Solving for [tex]x[/tex]:

[tex](3x+28)+(5x+52)+(2x-10)=180,\\3x+28+5x+52+2x-10=180,\\10x+70=180,\\10x=110,\\x=\boxed{11}[/tex]

Substitute [tex]x=11[/tex] to solve for angle C:

[tex]m\angle C=2x-10,\\m\angle C=2(11)-10,\\m\angle C==22-10=\boxed{12^{\circ}}[/tex]

Answer:

x = 7.2

Step-by-step explanation:

a² + b² = c²

x² + (19.2/2)² = (24/2)²

x² + 9.6² = 12²

Subtract 9.6² from both sides

x² = 12² - 9.6²

x² = 51.84

x = 7.2

Answer:

P

v = 794.0275 in³

Q

v = 1,307.81 in³

Step-by-step explanation:

volume of cone

v = πr²h

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

cylinder P

v = 3.14 * (4.25²) * 14

v = 794.0275 in³

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

cylinder Q

v = 3.14 * (7²) * 8.5

v = 1,307.81 in³

Answer:

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Answers are cost of Arcade game per play and cost of each ferry ride and we can solve.

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Maya used some of her allowance to ride the ferris wheel and play a few rounds of an arcade game.

We could develop a two-variable equation if we knew the total allotment, the cost of each arcade game played, and the cost of each ferry ride.

We can solve the equations to determine how many times Maya visited the Ferris wheel and how many times she played arcade games.

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Answer:

-6n + 11

Step-by-step explanation:

The difference between each number is 6 (-6)

If n=1 then -6n + 11 =5

If n=2 the (-6×2) + 11 = -1

If n=3 the (-6×3) + 11 = -7

and so on.

You use the difference between each number to identify how much you need to times n by the you use that information and figure out how much you need to add / subtract to find the first number in the sequence. To check you do the same thing for the second number or third number.

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Answer:

hope it is helpful to you

Answer:

4(7a+3)

Step-by-step explanation:

28a+12

take common

4 is the common number for both the terms because it divides 28 and 12 exactly.

4(7a+3)

Answer:

.........................

Answer:

Step-by-step explanation:

This is an isosceles right triangle as two legs are congruent.

The angle measure of both acute angles (B and C) is same:

Answer:

Step-by-step explanation:

x=[tex]\sqrt{100+16}[/tex]

x=[tex]\sqrt{116}[/tex]

x=2[tex]\sqrt{29[/tex]

Answer:

[tex] x = \blue{2\sqrt{29}} [/tex]

Step-by-step explanation:

[tex] a^2 + b^2 = x^2 [/tex]

[tex] 4^2 + 10^2 = x^2 [/tex]

[tex] 16 + 100 = x^2 [/tex]

[tex] x^2 = 116 [/tex]

[tex] x = \sqrt{116} [/tex]

[tex] x = \sqrt{4 \times 29} [/tex]

[tex] x = \blue{2\sqrt{29}} [/tex]

Answer:

x = sqrt(33)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

4^2 + x^2 = 7^2

16 + x^2 = 49

Subtract 16 from each side

x^2 = 49-16

x^2 = 33

Take the square root of each side

sqrt(x^2) = sqrt(33)

x = sqrt(33)

[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{c}^{2} = {a}^{2} + {b}^{2} }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{\color{black}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {7}^{2} - {4}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {49} - {16} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt \color{black}{{x} = \sqrt{ 33} }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt \color{green}{{x} = \sqrt{ 33} }}[/tex]

_________

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Answer: [tex]\frac{700}{y} =\frac{18}{100}[/tex]

Step-by-step explanation: 18% is a fraction [tex]\frac{18}{100}[/tex]

In this case since 700 18% of the budget we can do the same thing with the budget being valued as y.[tex]\frac{700}{y}[/tex]

Answer:

12/4 i really hope this helps i took the test and got a 100

Step-by-step explanation:

Step-by-step explanation:

floor = 12*10= 120 sq ft

rug = r² = 9 Пr2

120-9π = 91.74 sq ft

Answer:

2.0

Step-by-step explanation:

Couldn't really understnd what you wrote but I'll assume it's the standard deviation of a fair, 7-sided die

The standard deviation is just the square root of the variance (which is just the second moment minus the first moment squared)

The first moment (AKA the average is..)

[tex]\frac{1+2+3+4+5+6+7}{7}=4[/tex]

The second moment is..

[tex]\frac{1^2+2^2+3^2+4^2+5^2+6^2+7^2}{7}=20[/tex]

[tex]\sqrt{20-4^2}=2[/tex]

Answer:

The answer is D (6).

hope this helps!

Answer: The value of x is 184.

Step-by-step explanation:

According to the similar right angled triangle properties, the product of same side of triangles is equal to the another side product.

Now calculating the value of x for the given pair of similar​ triangles.

According to the given figure:

24 × (2x - 8) = 45 × (x + 8)

(24 × 2x) - (24 × 8) = (45 × x) + (45 × 8)

48x - 192 = 45x + 360

48x - 45x = 360 + 192

3x = 552

x = 184

Thus, the value of x is 184.

Answer:

14 2/3 units^3

hope this helps

have a good day :)

Step-by-step explanation:

7 1/3 x 2=14 2/3

The volume of the rectangular prism is 14.66 square units.

It is required to find the volume of the  rectangular prism.

Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.

Given:

The volume is calculated as:

V= w h l

V= 7 1/3 x 2

V= 22/3 x 2

V= 44/3

V=14.66  square units.

Hence, the volume of the rectangular prism is 14.66 square units.

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Answer:

a. i. sinθ = +0.941

ii. cosθ = +0.339

b. i. sinθ = -0.842

ii.  cosθ = +0.540

Step-by-step explanation:

a. Given that tanθ almost equal to≈ 2.773 where 0<θ<π/2, find the values of sinθ and cosθ.

i. sinθ

Given that 1 + cot²θ = cosec²θ

cotθ = 1/tanθ

Since tanθ = 2.773, cotθ = 1/tanθ = 1/2.773 = 0.3606

So, 1 + cot²θ = cosec²θ

1 + (0.3606)² = cosec²θ

1 + 0.13 = cosec²θ

1.13 = cosec²θ

cosec²θ = 1.13

cosecθ = ±√1.13

cosecθ = ±1.063

1/sinθ = ±1.063

sinθ = ±1/1.063

sinθ = ±0.9407

sinθ ≅ ±0.941

Since we have 0<θ<π/2, sinθ is in the first quadrant, so we choose the positive value.

So, sinθ = +0.941 where 0<θ<π/2

ii. cosθ

Given that 1 + tan²θ = sec²θ

Since tanθ = 2.773,

So, 1 + tan²θ = sec²θ

1 + (2.773)² = sec²θ

1 + 7.6895 = sec²θ

8.6895 = sec²θ

sec²θ = 8.6895

secθ = ±√8.6895

secθ = ±2.9478

1/cosθ = ±2.9478

cosθ = ±1/2.9478

cosθ = ±0.3392

cosθ ≈ ±0.339

Since we have 0<θ<π/2, cosθ is in the first quadrant, so we choose the positive value.

So, cosθ = +0.339 where 0<θ<π/2

b. Given that tanθ ≈ -1.559 where 3π/2<θ<2π, find the values of sinθ and cosθ.

i. sinθ

Given that 1 + cot²θ = cosec²θ

cotθ = 1/tanθ

Since tanθ = -1.559, cotθ = 1/tanθ = 1/-1.559 = -0.6414

So, 1 + cot²θ = cosec²θ

1 + (-0.6414)² = cosec²θ

1 + 0.4114 = cosec²θ

1.4114 = cosec²θ

cosec²θ = 1.4114

cosecθ = ±√1.4114

cosecθ = ±1.1880

1/sinθ = ±1.1880

sinθ = ±1/1.1880

sinθ = ±0.8417

sinθ ≈ ±0.842

Since we have 3π/2<θ<2π, sinθ is in the fourth quadrant, so we choose the negative value.

So, sinθ = -0.842 where 3π/2<θ<2π

ii. cosθ

Given that 1 + tan²θ = sec²θ

Since tanθ = -1.559,

So, 1 + tan²θ = sec²θ

1 + (-1.559)² = sec²θ

1 + 2.4305 = sec²θ

3.4305 = sec²θ

sec²θ = 3.4305

secθ = ±√3.4305

secθ = ±1.8522

1/cosθ = ±1.8522

cosθ = ±1/1.8522

cosθ = ±0.5399

cosθ ≈ ±0.540

Since we have 3π/2<θ<2π, cosθ is in the fourth quadrant, so we choose the positive value.

So, cosθ = +0.540 where 3π/2<θ<2π

Answer:

Total income= $100

Step-by-step explanation:

Giving the following information:

Hourly rate=$10

To calculate the total income, we need to use the following formula:

Total income= hourly income*number of hours

For example, for 10 hours shoveling in a week:

Total income= 10*10

Total income= $100

Answer:

It would be 12. Do you need me to explain or are you good?

Step-by-step explanation:

Answer:

6√2

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

4+8/2*(6-3) = 4+8/2*3 = 4+4*3 = 4+12 =16

Answer:

18

Step-by-step explanation:

4+8 /2 *(6-3)

=4+8/2 * 3

=(4+8)*3/2

=12*3/2

=36/2

=18

Answer:

4 Matches

Step-by-step explanation:

According To the Question,

Now, The Total Matches she plays in that time = [tex]\frac{(Total Time Played)}{(Time On Each Match)}[/tex]

Thus, Total Matches = 52 / 13 ⇔ 4 Matches

Answer:

Your correct answer will be 6.2

Step-by-step explanation:

First, we line up the decimal points,  0.2 plus 6.0, always add 0 to the number without the decimal.

Last, you just add them, and you will get 6.2

Mark me brainliest and have a good day!

Answer:

68

Step-by-step explanation:

4 out of 12 are blue.

Then 8 out 12 are not blue.

8 out of 12 is the same as the fraction 8/12 which can be reduced to 2/3.

2/3 of the birds are not blue.

2/3 of 102 = 2/3 * 102 = 68

Answer: 68

Answer:

(i) 18.4 > 18.04

(ii) 0.7 < 50 > 35

b) 173500

c) 173500

Step-by-s tep explanation:

(i) To compare decimals such as 18.4 and 18.04, first line up the decimal points of the numbers. Next, we compare the digits place by place starting on the left. 1 and 1 are the same, 8 and 8 are the same, but notice that 4 is greater than 0. This means that 18.4 is greater than 18.04.

(ii) Simple less than < greater than > skills.

b) Simple rounding.

c) The answers stays the same; rounding cannot be completed using JUST whole numbers.

Answer:

yes...

Step-by-step explanation: