Round the following numbers to 2 decimal places 3526.48502 12.6433 0.2099

≈ 63.30 ft²

Heron formula

A = √p(p - a)(p - b)(p - c)

a = 9 ; b = 15 ; c = 20

p = (a + b + c)/2 = (9 + 15 + 20)/2 = 44/2 = 22

A = √22(22-9)(22-15)(22-20)

= √22×13×7×2

= √4004

≈ 63,27

≈ 63.30 ft²

f(x) = ((x^2) / 3) + x, for f(6)

f(6) = ((6^2) / 3) + 6

Square 6

f(6) = (36 / 3) + 6

Divide 36 by 3

f(6) = 12 + 6

Combine like terms

f(6) = 18

Answer:my answer is oooof

Step-by-step explanation:

x=127

since a triangle equals 180, subtract 180-37-90 to get the bottom angle of 53. that straight line is also 180 so 180-53=127

Answer:

Substitution

Step-by-step explanation:

Subtitue x=3 into the second equation

y=2(3)+1

y=6+1

y=7

Answer:

$19.8

Step-by-step explanation:

To find the answer, find the  ratio.

Answer: 1980

Step-by-step explanation:

Set yp a proportion

5.60dollars=56texts

----------------   ----------

198dollars=    x

Then you cross multiply the 198 with the 56

then you divide the 5.60

Answer:

-32=2x-14

Step-by-step explanation:

-32=2x-14

-18=2x

-9=x

Answer:

2x-14 =-32

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=-2x^2-5x+1\text{ and } h(x)=3(x+3)^2-11[/tex]

And we want to find:

[tex]h(f(-1))[/tex]

So, find f(-1) first. Substitute -1 into f(x):

[tex]f(-1)=-2(-1)^2-5(-1)+1[/tex]

Square:

[tex]f(-1)=-2(1)-5(-1)+1[/tex]

Multiply:

[tex]f(-1)=-2+5+1[/tex]

Add:

[tex]f(-1)=4[/tex]

Now, substitute this into h(f(-1)):

[tex]h(f(-1))=h(4)[/tex]

So, substitute 4 into h(x):

[tex]h(4)=3(4+3)^2-11[/tex]

Add:

[tex]h(4)=3(7)^2-11[/tex]

Square:

[tex]h(4)=3(49)-11[/tex]

Multiply:

[tex]h(4)=147-11[/tex]

Subtract:

[tex]h(4)=136[/tex]

So, our answer is B.

And we're done!

Answer:

80 miles per an hour

Step-by-step explanation:

400 divided by 5 equals= 80 so 80miles = 1 hour

Answer:

80 miles per hour.

Step-by-step explanation:

Start with the speed formula.

[tex]speed=\frac{distance}{time}[/tex]

In this scenario, the distance is [tex]400[/tex] miles, and the time is [tex]5[/tex] hours.

Substitute:

[tex]speed=\frac{400}{5}[/tex]

Divide.

[tex]400[/tex] ÷ [tex]5[/tex]

Solve:

[tex]400[/tex] ÷ [tex]5=80[/tex]

Answer: A

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

H

Answer:

Yes; domain: all real numbers; range: y [tex]\geq[/tex] 0

Step-by-step explanation:

1. Use the vertical line test to see if it is a function.

2. Figure out what the lowest and highest point x can be. In this case x can be any number

3. Figure out what the lowest and highest point of y can be. In this case y is not negative, the lowest it can be is 0. So y [tex]\geq[/tex] 0

*Note: Domain are the x values & Range are the y values

Yes; domain: all real numbers; range: y ≥ 0. Therefore, option B is the correct answer.

From the given graph we need to check whether it is a function.

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:

Domain = the set of all x-coordinates = {1, 2, 3, 4}

Range = the set of all y-coordinates = {2, 3}

From the graph we can see all the y values are equal and greater than y.

That is, y ≥ 0

Yes; domain: all real numbers; range: y ≥ 0. Therefore, option B is the correct answer.

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Answer:

Adjacent for 20° = 17.3mm

Hypotenuse for 70° = 120mm?

Opposite for 70° = 17.3mm

Hypotenuse for 20° = 120mm?

Adjacent for 70° = 10mm

Opposite for 20° = 10mm

Step-by-step explanation:

I think "Adjacent for 20°" is asking the length of the side adjacent to 20° (Although the Hypotenuse is adjacent to 20° don't answer its length because Hypotenuse are ALWAYS opposite to the 90° of a right triangle). The "Opposite for 70°" is asking the length of side opposite to 70°.

Also, I really don't know why the hypotenuse is 120mm because by the Pythagorean Theorem, it should 19.98mm (20mm if rounded to the nearest tenths).

Answer:

  "adjacent" is the short ray that makes up the angle. "opposite" is the side not touching the angle.

Step-by-step explanation:

Since your question text involves identifying adjacent and opposite, that's what we'll explain.

In a right triangle, the hypotenuse is the side opposite the right angle. For the purposes here, it is always referred to as the hypotenuse. It is the longest side in the right triangle.

__

Each acute angle in the right triangle has the hypotenuse on one side. The other side forming the angle is called the adjacent side.

The remaining side of the triangle (not the hypotenuse, and not the adjacent side) is the one opposite the angle. It is called the opposite side.

__

In the first attachment is a triangle with sides and angles labeled. Each angle is labeled with an upper-case letter (A, B, C), and each side opposite that angle is labeled with the corresponding lower-case letter (a, b, c). This is a customary way to label triangle sides and angles. (The right angle is not always C.)

So, for angle A, the hypotenuse is c, and the adjacent side is b. The side opposite is a.

For angle B, the hypotenuse is c (still), and the adjacent side is a. The side opposite is b.

__

The second attachment applies these ideas to your first (upper left) triangle.

__

As for the applicable formulas, the mnemonic SOH CAH TOA is often helpful. It is intended to remind you that ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

Then the applicable formulas clockwise from left are for Cos, Sin, Cos.

"What went wrong" in the 30° triangle is that somebody used a calculator in radians mode, not degrees mode, when they tried to compute the sine. A couple of errors were made, because sin(30 radians) is about -0.988, so the minus sign was dropped, too. (You always need to check that the calculator is in the right mode.)

Answer:

20 the answer is 20 because you plug in 4 for n.

Answer:

4¹⁰

Step-by-step explanation:

4³ × 4⁷ = 4³⁺⁷ = 4¹⁰

Answer:

9

Step-by-step explanation:

d=rt

12x45/60

12x0.75

9=d

Answer:

Step-by-step explanation:

Answer:

305,200

Step-by-step explanation:

Answer: the answer would be 75.6 i think, sorry if that's wrong

Step-by-step explanation:

38-9.4=28.6

28.6+47=75.6

Answer:

Float in Water:

Wheat

Butter

Oak wood

Sink in Water:

Brick

Clay

Step-by-step explanation:

No idea honestly, but make sense also do not mind my user. Brainly was being annoying by ADs and keep putting them in my face.

Answer:1=£34.2

2=£66.6

3=£9.18

4=£13,158

Step-by-step explanation:

We are decreasing the prices by 10%

1.£38

£38 = 100%

? =90%

90×38÷100=£34.2

2.£74

£74=100%

? = 90%

90×74÷100=£66.6

We are increasing the the salaries by 2%

1.£9

£9=100%

? =102

102×9÷100=£9.18

2.£12900

£12900=100%

? =102%

102×12900÷100=£13,158

Given, equation in the question which we have to solve is

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

Here, we need to find x. So, Let's isolate x on one side of the equation. It is present in the left hand side. Add 5 to both sides,

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

[tex]2x = 12[/tex]

Divide 2 from both sides,

[tex] \frac{2x}{2} = \frac{12}{2} [/tex]

[tex]x = 6[/tex]

So, the correct option is A.

━━━━━━━━━━━━━━━━━━━━

Answer:

Step-by-step explanation: the triangle is negative 6, plus 18 half in the middle.

Answer:

Surface Area =237.5

Answer:237.5

Step-by-step explanation:

       Triangles given in Options (b) and (c) are similar.

From the picture attached,

a). In triangle ABC,

    ∠A + ∠B + ∠C = 180°    [By triangle sum theorem]

    60° + ∠B + 40° = 180°

    ∠B = 80°

    Similarly, in ΔDEF,

     ∠D + ∠E + ∠F = 180°

     60° + 85° + ∠F = 180°

     ∠F = 35°

       Since, measure of angles of both the triangles are different in measures, triangles will not be similar.

b). In ΔABC,

    ∠A + ∠B + ∠C = 180°

    45° + 50° + ∠B = 180°

     ∠B = 85°

     In ΔDEF,

     ∠D + ∠E + ∠F = 180°

      50° + 85° + ∠F = 180°

      ∠F = 45°

      Hence, ∠C ≅ ∠D, ∠A≅ ∠F and ∠B ≅ ∠E

       Since, measure of corresponding angles are equal, both the

       triangles (ΔABC ~ ΔFED) will be similar.

c).    Here, corresponding sides of both the triangles are proportional,

       [tex]\frac{AB}{DE}= \frac{CA}{FD}= \frac{BC}{EF}[/tex]

       [tex]\frac{14}{7}= \frac{12}{6}= \frac{16}{8}[/tex]

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

       Both the triangles ΔABC and ΔDEF will be similar.

  Therefore, Option B and Option C are the correct options.

Learn more about the similarity of two triangles here,

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