Find the exact value or type
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tan(-315)
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Answer:

d = 3h - 6

Step-by-step explanation:

Given formula:

[tex]h=\dfrac{d}{3}+2[/tex]

Subtract 2 from both sides:

[tex]\implies h-2=\dfrac{d}{3}+2-2[/tex]

[tex]\implies h-2=\dfrac{d}{3}[/tex]

Multiply both sides by 3:

[tex]\implies (h-2) \times 3=\dfrac{d}{3} \times 3[/tex]

[tex]\implies 3(h-2)=d[/tex]

Apply the distributive law  [tex]a(b-c)=ab-ac[/tex]

[tex]\implies 3h-6=d[/tex]

[tex]\implies d=3h-6[/tex]

Answer:

[tex]d=3h-6[/tex]

Step-by-step explanation:

[tex]h=\frac{d}{3}+2[/tex]

[tex]h-2=\frac{d}{3}+2[/tex]

                 -[tex]2[/tex]

[tex]h-2=\frac{d}{3}[/tex]

[tex](h-2)*3=\frac{d}{3}*3[/tex]

[tex]3(h-2)=d[/tex]

[tex]3h-6=d[/tex]

[tex]d=3h-6[/tex]

-{ModPatrol}

Answer:

[tex] 55 < A < \frac{149}{2} [/tex]

Step-by-step explanation:

Given:

Function g(x) = 2x²-x-1, [2,5],

N = 6 rectangles

To find:

Two approximation (Left endpoint and Right endpoint of the area) of the area.

Solution:

Using Right endpoint approximation,

[tex]\Delta x = \frac{b - a}{N} \\ \Delta x = \frac{5 - 2}{6} \\ \Delta x = \frac{3}{6} = \frac{1}{2}[/tex]

Now,

[tex]\displaystyle\sf \: R_n = \Delta x \: \sum_{i=1}^N f(a + i \Delta x)[/tex]

Where i = 1,2,3,4......

Substituting value of N, ∆x and a in above equation,

[tex]\displaystyle\sf \: R_n = \Delta x \: \sum_{i=1}^N f(a + i \Delta x) \\ \displaystyle\sf \: R_n = \frac{1}{2} \: \sum_{i=1}^6 f(2 + i \cdot \frac{1}{2} ) \\ \displaystyle\sf \: R_n = \frac{1}{2} \: \sum_{i=1}^6 f(2 + \frac{i}{2} ) \\ \displaystyle\sf \: R_n = \frac{1}{2} \: \sum_{i=1}^6 f( \frac{4 + i}{2} ) [/tex]

[tex]\displaystyle\sf \: R_n = \frac{1}{2} \bigg( f( \frac {5}{2}) + f( 3) +f( \frac {7}{2}) + f( 4) + f( \frac {9}{2}) + f( 5) \bigg) [/tex]

Substituting the corresponding values of x in given function 2x²-x-1

[tex]\displaystyle\sf \: R_n = \frac{1}{2} \bigg(2 \times { (\frac{5}{2} )}^{2} - \frac{5}{2} - 1 ....... +2 \times { ({5} )}^{2} - {5}- 1 \bigg) [/tex]

After solving each function,

[tex]\displaystyle\sf \: R_n = \frac{1}{2} \bigg(9 + 14 +20 + 27 + 35 + 44\bigg) \\ \displaystyle\sf \: R_n \: = \frac{149}{2} [/tex]

Similarly for left endpoint approximation,

[tex]\displaystyle\sf \: L_n = \Delta x \: \sum_{i=0}^{N - 1} f(a + i \Delta x)[/tex]

Where i = 0,1,2,3......

Substituting value of N, ∆x and a in above equation,

[tex]\displaystyle\sf \: L_n = \Delta x \: \sum_{i=0}^{N } f(a + i \Delta x) \\ \displaystyle\sf \: L_n = \frac{1}{2} \: \sum_{i=0}^{N } f(2 + i \frac{1}{2} ) \\\displaystyle\sf \: L_n = \frac{1}{2} \: \sum_{i=0}^6 f( \frac{4 + i}{2} ) [/tex]

[tex]\displaystyle\sf \: L_n = \frac{1}{2} \bigg(f( 2) + f( \frac {5}{2}) + f( 3) +f( \frac {7}{2}) + f( 4) + f( \frac {9}{2}) + \bigg) [/tex]

Substituting the corresponding values of x in given function 2x²-x-1

[tex]\displaystyle\sf \: L_n = \frac{1}{2} \bigg(5+ 9 + 14 +20 + 27 + 35 \bigg) \\ \displaystyle\sf \: L_n \: = \frac{110}{2} = 55 \\ [/tex]

Right approximation 149/2

Left approximation 55

Hence the Area is bounded in,

[tex] 55 < A < \frac{149}{2} [/tex]

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Answer:

33.15

Step-by-step explanation:

102/2 = 51

65% of 51 = 33.15

Answer:

65% of (102/2) is 33.15

Step-by-step explanation:

I used a calculator and got this answer, it is correct. Have a nice day :)

Answer:

14 1/13

Step-by-step explanation:

13/4*13/3=169/12=14 1/13

Answer:

Homeowners insurance

Step-by-step explanation:

Homeowners insurance is designed to protect your home from what are called "perils." A peril is your exposure to risk or something that causes loss or destruction. … Homeowners 2 (HO2): This policy protects your property against 18 perils (including 11 perils from Homeowners 1). Typical homeowners insurance policies offer coverage for damage caused by fires, lightning strikes, windstorms and hail. But, it's important to know that not all natural disasters are covered by homeowners insurance. For example, damage caused by earthquakes and floods are not typically covered by homeowners insurance.

Answer:

Area of triangle = 1/2 of base × height

Area of triangle = 1/12 of 12×17

Area of triangle = 102m²

The computation of the percentage shows that the kilograms of seed that won't be watered is 12 kilograms.

Your information is incomplete. Therefore an overview will be given. Let's assume that the watered squares are 35 while the total squares are 50.

Then, the percentage of the watered squares will be:

= 35/50 × 100

= 70%

Therefore, the percentage of the unwatered squares will be:

= 100% - 70%

= 30%

Then, the kilograms of the seed that won't be watered will be:

= Percentage of unwatered seed × Entire kilograms of seed

= 30% × 40kg

= 12kg

In conclusion, the seed that won't be watered is 12 kg.

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https://brainly.com/question/24877689

Answer:

Below in bold.

Step-by-step explanation:

The ratio of theire areas is  1^2 : 3^2

= 1:9.

So the area of triangle A = 28 * 9

= 252 cm^2.

Answer:

[tex]252cm {}^{2} [/tex]

step by step explanation:

[tex]since \: \: dimension \: of \: traiangle \: a \: = 3 times \: dimension \: of \: triangle \: b \\ note \: that \: area \: is \: square \: of \: dimension \: \\ therefore \: area \: of \: triangle \: a \: = 3 {}^{2} \: area \: of \: triale \: \: b \\ area \: of \: trianle \: a = 9 \times 28 = 252cm {}^{2} [/tex]

Answer:

54

Step-by-step explanation:

Multiply:

37x37=72

Subtract:

180-72=108

Divide:

108/2=54

Answer:

143 degrees

Step-by-step explanation:

37(2) + 2x = 360
74 + 2x = 360
2x = 286

x = 143

Hope this helps :)

The angle of elevation from the tripod to the top of the tree is about 66 degrees

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let Ф represent the angle of elevation. Since the tripod is at a height of 4 feet, hence:

tanФ = (31 - 4) / 12

Ф = 66 degrees

The angle of elevation from the tripod to the top of the tree is about 66 degrees

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Answer:

x = 12

Step-by-step explanation:

1. Subtract 9 from both sides:

x/6 = 2

2. Multiply both sides by 6:

x = 12

Answer:

9 + x/6 = 11

Always get rid of the constants first,

-9         -9(we subtract 9 from both sides because the inverse operation of addition is subtraction)

x/6 = 2

Isolate x by multiplying by 6 on both sides (because the inverse operation of division is multiplication)

*6    *6

x = 12

There was a total of w + 36 people at the party.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, The adults and children in a neighborhood attended a party. There were 18 children.

Let "x" be the number of Persons in the party

Since,

There were w fewer children than adults.

thus,

Number of Adults in the party = w + 18

x = w  + 18

Total number of people at party = x + 18

Total number of people at party = w + 18 + 18

Total number of people at party = w + 36

Therefore, there were w + 36 people at the party.

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#SPJ2

Answer: 35

Step-by-step explanation:

     The average can be found by adding their ages together and dividing by the number of ages.

     Given:

[tex]\frac{19+20+20+21+x}{5}[/tex] = 23

     Multiply both sides of the equation by 5:

19 + 20 + 20 + 21 + x = 115

     Combine like terms:

80 + x = 115

     Subtract 80 from both sides of the equation:

x = 35

                    Erica is 35.

The shape in the figure has 6 sides

The choice that describes the group the shape belongs to is (a) parallel sides, acute angles

From the figure, we have the following highlights

The above highlight mean that:

The shape belongs to parallel sides, acute angles group of shapes

Hence, Angela's conclusion is correct

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Answer:

Option C .

Step-by-step explanation:

We would like to solve the below quadratic equation ,

[tex]\longrightarrow f(x) = x^2-12x +32 [/tex]

Step 1 : Equate f(x) with 0 :-

[tex]\longrightarrow f(x) = 0\\[/tex]

[tex]\longrightarrow x^2-12x + 32=0[/tex]

Step 2 : Factorise the RHS :-

[tex]\longrightarrow x^2-8x - 4x +32=0\\[/tex]

[tex]\longrightarrow x(x-8)-4(x-8)=0\\[/tex]

[tex]\longrightarrow (x-8)(x-4)=0\\[/tex]

Step 3 : Equate each factor with 0 :-

[tex]\longrightarrow x - 8 = 0\\ \qquad x -4=0 [/tex]

[tex]\longrightarrow x = 8 \qquad x = 4 [/tex]

[tex]\longrightarrow \underline{\underline{\boldsymbol{ x = 8,4}}}[/tex]

Hence option C is correct .

Answer:

(x + 8)² + (y - 3)² = 64

Step-by-step explanation:

(x - (-8))² + (y - 3)² = 8²

(x + 8)² + (y - 3)² = 64

Answer:

  (b)  ∠EGF ≅ ∠BDC

Step-by-step explanation:

Angles D and G are both marked with double arcs, indicating they are congruent:

  ∠EGF ≅ ∠BDC

__

Other choices:

BD is the short segment between the marked angles. It has no "decoration." EF is the longer segment with a single hash mark decoration. These are not corresponding parts, so are not congruent. There is no right angle in these triangles, so the Pythagorean theorem is not applicable.

__

CD is the longest side, with no decoration. EF is the middle-length side with a single hash mark decoration. These are not corresponding sides.

Answer:

I don't know I'm sorry soo just try to work it out if u don't know how than ask someone you know okay, ur welcome.

Answer:

8 i think im not really sure

Step-by-step explanation:

Answer:

[tex]\displaystyle \frac{7}{37}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-49 + 35}{-56 - 18} = m \hookrightarrow \frac{-14}{-74} = m \\ \\ \boxed{\frac{7}{37} = m}[/tex]

I am joyous to assist you at any time.

the answer is

x^{2}-31x+5b

The distance between the two points is 93.9 units

The formula for calculating the distance between two points is expressed as:

[tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Given the coordinate points (0, 0) and (40, 85). The distance between the points is expressed as:

[tex]D=\sqrt{(85-0)^2+(40-0)^2}\\D=\sqrt{7225+1600}\\D=93.9 units[/tex]

Hence the distance between the two points is 93.9 units

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Answer:89.4

Step-by-step explanation:

Answer:

exponential

Step-by-step explanation:

there is a multiplier of 8 between each number

Answer:

8.2

Step-by-step explanation:

Hope this helps....

Answer:

The answer is 8 1 / 2

Step-by-step explanation:

See the Image

Option 1 is easier to understand

Answer:

To find the volume of a rectangular prism, multiply the length, width, and height. The unit for measuring the volume of a rectangular prism is cubic units, i.e., cm3, mm3, in3, m3, etc.

Step-by-step explanation:

hope it helps

Answer:

The dashes on the side lengths mean that they are equal in length
⇒ PQ = RP

The triangles share one side PS

The figure also states that m∠QPS = m∠RPS

Therefore, the triangles are SAS congruent since they have two pairs of congruent sides and a congruent included angle.

Answer: the answer is 40.5 cm

Step-by-step explanation:

first your gonna want to look at the numbers given and then solve.

Answer:

0D r equals -3y

hope ts helpful