In a 45-45-90 triangle, the ratio of the length of the hypotenuse to the length of a side is

Answer:

The temperature in °F after x hours will be given by, y = - 8 + 2x.

Step-by-step explanation:

The temperature in the morning was - 8°F. Now, as the day went on the temperature rose 2°F each hour.

So, after x hours the temperature will rise by 2x°F.

Therefore, the temperature in °F after x hours will be given by, y = - 8 + 2x. (Answer)

Option D:

160 plastic cubes can fit into the box.

Solution:

Convert mixed fraction into improper fraction.

Length of the box = 4 ft

Width of the box = [tex]2\frac{1}{2}=\frac{5}{2}[/tex] ft

Height of the box = 2 ft

Volume of the box = length × width × height

                                 [tex]$=4\times\frac{5}{2} \times2[/tex]

                                 = 20 ft³

Volume of the box = 20 ft³

Length of the plastic cube = [tex]\frac{1}{2}[/tex] ft

Volume of the cube = length × length × length

                                 [tex]$=\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2}[/tex]

                                 [tex]$=\frac{1}{8} \ \text{ft}^3[/tex]

Volume of the cube = 0.125 ft³

[tex]$\text{Number of plastic cubes}=\frac{\text{Volume of box}}{\text{Volume of cube}}[/tex]      

                                        [tex]$=\frac{20}{0.125}[/tex]

                                        = 160

Number of plastic cubes = 160

Hence 160 plastic cubes can fit into the box.

Option D is the correct answer.

Answer:

Parallelogram

Explanation:

Since there are four points, this is a quadrilateral.

There is a slope during the points. Therefore it could not be a rectangle nor square. The sides are still parallel though.

The length is not equal too, so it could not be a rhombus.

If you plot these points to the graph and connect them, it would form a parallelogram.

Answer:

  a parallelogram

Step-by-step explanation:

When the points are connected to form a convex polygon, that polygon is a parallelogram.

3 km per minute is approximately equal to 111.8 miles per hour.

To convert 3 km per minute to miles per hour, we can use the conversion factors:

1 kilometer = 0.621371 miles 1 hour = 60 minutes

First, let's convert 3 km per minute to km per hour:

3 km/min * 60 min/hour = 180 km/hour

Now, let's convert km per hour to miles per hour:

180 km/hour * 0.621371 miles/km = 111.84757 miles/hour

Rounding to the nearest tenth, we get:

3 km per minute is approximately equal to 111.8 miles per hour.

Answer:

252

Step-by-step explanation:

Multiply 350 by the decimal form of 72%. To find the decimal form of 72%, divide 72 by 100 or move every number two places to the right:

72/100 = 0.72

Then multiply 350 by 0.72:

350 x 0.72 = 252

I hope this helps!

A = 0, B = 6, C = 3, D = 6, E = 4, F = 5 and G = 1.

Solution:

Starting line is [tex]\frac{0}{6}=0[/tex].

In the number line, all the denominators are same.

If we match this to the given number line, we get

A = 0, B = 6, C = 3, D = 6, E = 4, F = 5 and G = 1.

Answer:

= 2(x+[tex]\frac{5}{2}[/tex] )

Step-by-step explanation:

2x + 5

= 2(x+[tex]\frac{5}{2}[/tex] )

When:

2 is the constant

(x+[tex]\frac{5}{2}[/tex] )  is a sum of terms

Hope it will find you well.

The expression 2x + 5 can be written as the product of 1 and the sum 2x + 5. Therefore, it's 1(2x + 5).

Step 1:

Factor out the greatest common factor.

In the expression 2x + 5, there is no common factor other than 1 since both terms do not share any common factors.

Step 2:

Rewrite as the product of a constant and a sum of terms.

We rewrite 2x + 5 as the product of 1 and the sum of 2x and 5: [tex]\(1 \times (2x + 5)\).[/tex]

Step 3:

Perform the multiplication.

Multiplying 1 by the sum (2x + 5) gives us [tex]\(1 \times (2x + 5) = 2x + 5\)[/tex].

Step 4:

Interpret the result.

The expression [tex]\(2x + 5\)[/tex] represents the original expression 2x + 5 as the product of the constant 1 and the sum of terms 2x and 5. This expression is now in the form requested.

Answer:

48

Step-by-step explanation:

Step 1:  Convert words into an expression

What is 6 multiplied by 8

6 * 8

Step 2:  Multiply

6 * 8

48

Answer:  48

Answer:

957.62

Step-by-step explanation:

Given the house price, P=$197,000, [tex]n=12\times 30=360, i=0.0415/12[/tex], the monthly payments, M, can be calculated as:

[tex]M=P[\frac{i(1+i)^n}{(1+i)^{360}-1}]\\\\M=[\frac{\frac{0.0415}{12}(1+\frac{0.0415}{12})^360}{(1+\frac{0.0415}{12})^{360}-1}]\\\\M=957.62[/tex]

Hence, the monthly payment of the baloon mortgage is $957.62

Answer:

3.1 kg

Step-by-step explanation:

3100 × 10^-3 = 3.1

Solution:

Given equation of circle is:

[tex]x^{2} +y^{2} -12x-2y+12=0[/tex]

Move the constant to other side

[tex]x^{2} +y^{2} -12x-2y = -12[/tex]

Group the equation

[tex](x^{2} -12x)+(y^{2}-2y)=-12[/tex]

Add 36 and 1 from both sides

[tex](x^{2} -12x +36)+(y^{2}-2y + 1)=-12 + 36 + 1\\\\(x^{2} -12x + 36)+(y^{2}-2y + 1)= 25[/tex]

Which is simplified as:

[tex](x - 6)^2 + (y-1)^2 = 25[/tex] --------- eqn 1

The equation of circle is given as:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where, r is radius and (h, k) is center

Compare eqn 1 with above general equation

(h, k) = (6, 1)

Thus the center of a circle is (6, 1)

Answer:

the center the circle is (6,1)  

Step-by-step explanation:

Answer: No

Step-by-step explanation:

10x + 11 when x= 1 is equal to 21

While 5x + 11, when x=1 is equal to 16

g(x) = [tex]\frac{3}{4} f(x)[/tex] or g(x) is 3/4 times of f(x) , F(x) and g(x) have common solution or intersecting point in the graph parabola at x=0 i.e. in origin and x = [tex]\frac {4}{3}[/tex].

Step-by-step explanation:

We have a function f(x) = [tex]x^{2}[/tex] and another function , g(x) = [tex]\frac{3}{4} x^{2}[/tex]. In the graph of y = [tex]x^{2}[/tex] , the point (0, 0) is called the vertex. The vertex is the minimum point in a parabola that opens upward. In a parabola that opens downward, the vertex is the maximum point.

Graphing y = (x - h)2 + k , where h = 0 & k = 0

Function g(x) can be formed with compression in function f(x) by a factor of 3/4 , i.e. g(x) = [tex]\frac{3}{4} f(x)[/tex] or g(x) is 3/4 times of f(x).Domain and range of f(x) and g(x) are same ! Although structure of both functions is same the only difference is g(x) is compressed vertically by a factor 3/4. Both are graph of a parabola with vertex at (0,0). Also, F(x) and g(x) have common solution or intersecting point at x=0 i.e. in origin.

Answer:

1/12 kg

Step-by-step explanation:

1/4(1/3)=1/12

Answer:

Find 6.75% of 260

Step-by-step explanation:

Hi

To find the volume of a cone, you use the formula 1/3πr²h, substituting in the radius for r and the height for h. For an example cone with a radius of 4 and a height of 9, the volume would be 48π or approximately 150.72 after rounding to the nearest hundredth.

The student is asked to find the volume of a cone. The formula to find the volume of a cone is 1/3πr²h, where r is the radius of the base of the cone and h is the height of the cone.

If the student is given the radius and the height, they would just need to substitute the values into the formula. For example, if the radius of the cone is 4 and the height is 9, the volume would be 1/3 * π * (4)² * 9 = 48π. If the student prefers a decimal approximation, they can substitute pi with 3.14 to get 150.72, rounded to the nearest hundredth.

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Answer:

16) b and 17) C

Step-by-step explanation:

Step-by-step explanation:

The given sequence is 25, 29, 33, ....

The sequence represents arithmetic progression

In an AP, the first term is a1  = 25

The difference between two terms, d = 29 - 25 = 4

To find the 97th term,

By formula, [tex]a_{n} = a_{1} + (n - 1) d[/tex]

Substituting the values in the above equation, we get

[tex]a_{97} = 25 + (97 - 1) 4[/tex]

= 25 + (96 * 4)

= 25 + 384

= 409

The 97 th term in the given sequence is 409.

The 97th term of the arithmetic sequence 25,29,33,... can be calculated using the formula: a+(n-1)*d. In this case, the 97th term equals 409.

The subject of your question is arithmetic sequences. In an arithmetic sequence, every term is a certain amount greater than the previous term. This difference is known as the common difference. In your question, the sequence is 25, 29, 33, ..., indicating the common difference is 29-25, which equals 4.

To calculate the 97th term of an arithmetic sequence, we can use the formula: a + (n-1) * d where 'a' is the first term, 'n' is the term you're looking for, and 'd' is the common difference.

So, for your question, we input the necessary values and calculate: 25 + (97-1)*4 = 25 + 96*4 = 25 + 384 = 409.

Therefore, the 97th term of the arithmetic sequence you provided is 409.

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Answer:

789.6

You can do it on a calculator

105% of 752 is 789.6.

To find what number is 105% of 752, we first need to calculate 105% of 752.

105% of 752 can be found by multiplying 752 by 105% (or 1.05).

The calculation is: 752 * 1.05 = 789.6

Therefore, 105% of 752 is 789.6.

Answer:

32.3°

Step-by-step explanation:

Sqrt(7.5² - 6²) = 4.5

Tan(D) = 6/(24-10-4.5)

= 6/9.5

D = 32.3

Answer: -31/3,-3,-1,-1/2,0,1,4,21/5,5,6

Answer:

[tex]\frac{ \sqrt{ {x}^{2} + x} + 2}{ \sqrt{x} } [/tex]

Step-by-step explanation:

If you are talking about radical expressions, then the two equations should be something like

[tex] \sqrt{x + 1} + \frac{2}{ \sqrt{x} } [/tex]

Assuming this is the intended expression, then:

[tex] \frac{ \sqrt{x \times } \sqrt{x + 1} + 2}{ \sqrt{x} } [/tex]

We then simplify by collecting LCM to obtain:

[tex]\frac{ \sqrt{ {x}^{2} + x} + 2}{ \sqrt{x} } [/tex]

Answer:

Step-by-step explanation:

Compare y = mx + b to

                y = -69x - 346.

Here the slope, m, equals -69 and the y-intercept, b, equals -346 (Answer C)

Answer:

Trust him (:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The second expression 5 (x minus 3) the third 4 x + 3 y minus 15 minus 3 y + x

and there is no more

Answer:

5(x+3) 5 (x+15) Those are 2 Your welcome.! (:

Step-by-step explanation:

Answer:Exact Form: 1/2

Step-by-step explanation:

Answer:

453

Step-by-step explanation:

Since Brandon spent 47 % of his money you Will subtract 500-47.

Answer:

9

Step-by-step explanation:

because diameter never change or if it is radius the first half is 9 so, the second half would be 9 too.

so, x=9

Answer:

266.5y

Step-by-step explanation:

120.5y+80.5y+65.5y

201y+65.5y

266.5y

Answer:

45.6

Step-by-step explanation:

0.60 x 76 = 45.6

Answer:45.6

Step-by-step explanation:

60/100*76

0.6*76

45.6

Answer:A=52M/7+20/7

Step-by-step explanation:

For the graph, the image of triangle ABC after a reflection across the x-axis, the vertices of the image will be called A” B” , and C” are respectively,  (-3, 4),  (-3, 1),  (-1, 1)

Reflection about the axis is a transformation in geometry where a figure is flipped across a line or plane, producing a mirror image of the original figure. The line or plane across which the figure is reflected is called the axis of reflection.

Given that,

A graph, having triangle ABC

The reflection points, A', B', C'  = ?

All the vertices and their mirror image will be at equal distance from the x-axis

So, y-coordinate will be equal in magnitude but different in sign for all the vertices and their mirror image

x-axis is axis of reflection,

there will be no change in x-coordinates

So, x-coordinates will be same in magnitude and in sign as well

Now, Mirror image points can be written as,

A' = (-3, 4)

B' = (-3, 1)

C' =  (-1, 1)

Hence, the points are  (-3, 4),  (-3, 1),  (-1, 1)

To know more about reflection check:

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