According to the rules of significant figures, 3.92 +0.7. = 4.6. This is because the least precise value in the problem is 0.7, which is precise only to thetenths digit, so the answer must also be rounded to the nearest tenth.
A. True
B. False

Answer:

32780

Step-by-step explanation:

Answer:

32,780

Step-by-step explanation:

It should be 30,000

Answer:

axis of symmetry , x = 0

Step-by-step explanation:

For the quadratic equation of the form [tex]ax^2 + bx + c[/tex],

the axis of symmetry is the straight line  [tex]x =- \frac{b}{2a}[/tex]

( i)  Given equation y = ax² + 0x + 0

     b = 0, therefore axis of symmetry is x = 0

( ii ) Second equation y = ax² + 0x + c

    b = 0, therefore axis of symmetry is x = 0

Given:

[tex]m\angle ACD=45^\circ[/tex]

Point B is the center of the base.

Each side of the base = 10 cm

To find:

The height of the pyramid.

Solution:

It is given that the measure of each side of the base is 10 cm. It means the base is square. The length of the diagonal of a square is:

[tex]d=a\sqrt{2}[/tex]

Where, a is the side length of the square.

Putting [tex]a=10[/tex] in the above formula, we get

[tex]d=10\sqrt{2}[/tex]

It is given that point B is the center of the base. It means point B bisect each diagonal of a base. So,

[tex]BC=\dfrac{d}{2}[/tex]

[tex]BC=\dfrac{10\sqrt{2}}{2}[/tex]

[tex]BC=5\sqrt{2}[/tex]

In a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In triangle ABC,

[tex]\tan (45^\circ)=\dfrac{AB}{BC}[/tex]

[tex]1=\dfrac{h}{5\sqrt{2}}[/tex]

[tex]5\sqrt{2}=h[/tex]

[tex]7.0710678=h[/tex]

Round the value to the nearest integer.

[tex]h\approx 7[/tex]

The height of the pyramid is about 7 cm. Therefore, the correct option is A.

Answer:

750 is the answer..

Step-by-step explanation:

(12/40)*2500

Answer:

40 mins

Step-by-step explanation:

time spent talking to his sister = (1 - 3/8) x 4/5 =

5/8 x 4/5 = 1/2

total fraction of time spent playing games and talking to his sister :

[tex]\frac{3}{8} + \frac{1}{2}[/tex]

[tex]\frac{ 3 + 4}{8}[/tex] = [tex]\frac{7}{8}[/tex]

fraction of time remaining to complete the journey = 1 - 7/8 = 1/8

let t = total journey time

1/8 x t = 5

multiply both sides of the equation by 8

t = 5 x 8 = 40 minutes

Answer

The answer is EH= 50

Answer:

Blurry po

Step-by-step explanation:

Pwede kunan nyu ulit

Answer: 2/5

Step-by-step explanation:

There are 15 total marbles in the bag. 12 are blue, with only 6 made from plastic. 6/15 reduced is 2/5

Answer:

the answer is D

BECAUSE it satisfied the conditions

Given:

A bowl contains 25 chips numbered 1 to 25.

A chip is drawn randomly from the bowl.

To find:

The probability that it is

a. 9 or 10?

b. even or divisible by 3?

c. divisible by 5 and divisible by 10?

Solution:

a. We have,

Number of total chips = 25

Favorable out comes are either 9 or 10. So,

Number of favorable outcomes = 2

The probability that the selected chip is either 9 or 10 is:

[tex]\text{Probability}=\dfrac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{2}{25}[/tex]

Therefore, the probability that the selected chip is either 9 or 10 is [tex]\dfrac{2}{25}[/tex].

b. The numbers that are even from 1 to 25 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24.

The numbers from 1 to 25 that are divisible by 3 are 3, 6, 9, 12, 15, 18, 21, 24.

The numbers that are either even or divisible by 3 are 2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24.

Number of favorable outcomes = 16

The probability that the selected chip is either even or divisible by 3 is:

[tex]\text{Probability}=\dfrac{16}{25}[/tex]

Therefore, the probability that the selected chip is either even or divisible by 3 is [tex]\dfrac{16}{25}[/tex].

c. The numbers from 1 to 25 that are divisible by 5 are 5, 10, 15, 20, 25.

The numbers from 1 to 25 that are divisible by 10 are 10, 20.

The numbers that are divisible by both 5 and 10 are 10 and 20.

Number of favorable outcomes = 2

The probability that the selected chip is divisible by 5 and divisible by 10 is:

[tex]\text{Probability}=\dfrac{2}{25}[/tex]

Therefore, the probability that the selected chip is divisible by 5 and divisible by 10 is [tex]\dfrac{2}{25}[/tex].

Answer:

Step-by-step explanation:

sin A = opposite/hypotenuse

=5/13

cos A =adjacent/hypotenuse

=12/13

tan A =opposite/adjacent

=5/12

cosec A = hypotenuse/opposite

=13/5

sec A = hypotenuse/adjacent

=12/5

cot A = adjacent/opposite

=12/5

Answer:

The area of the bigger lid is approximately 29.2 square inches

Step-by-step explanation:

The given data are;

The volume held by one of the cans of paint, V₁ = 64 oz

The volume held by the other cans of paint, V₂ = 125 oz

The area of the smaller lid = 18 in²

Therefore,

The 64 Oz = The smaller can of paint

The 125 oz = The larger can of paint

The diameter of the smaller lid, d₁ = √(18 × 4/π) ≈ 4.787

The ratio of can volumes = (The ratio of can diameters)³

V₁/V₂ = (d₁/d₂)³

V₁/V₂ = 64/125

d₁/d₂ ≈ 4.787/d₂

64/125 = (4.787/d₂)³

4.787/d₂ = ∛(64/125) = 4/5

d₂ ≈ 4.878×5/4 = 6.0975

The area of the bigger lid, A₂ = π·d₂²/4

∴ A₂ = π × 6.0975²/4 ≈ 29.2

The area of the bigger lid, A₂ ≈ 29.2 in.²

Answer:

hello u so cool i admire you <3

Answer:

No

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

Slope of a line is defined by the rule,

Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

Here, Rise and Run of the line are positive.

Therefore, sign of the slope of the line will be positive.

Option (1) will be the correct option.

Answer:

[tex](0,-1)[/tex]

Step-by-step explanation:

The y-intercept always occurs when [tex]x=0[/tex]. To find the y-value of the y-intercept, substitute [tex]x=0[/tex] into your equation:

Given [tex]f(x)=-4.2^x[/tex], when [tex]x=0[/tex]:

[tex]f(x)=-4.2^0,\\f(x)=-(1)=-1[/tex]

Therefore, the y-intercept of this function is [tex](0, -1)[/tex].

Answer:

[tex]inverse \ of \ f(x) : \frac{2x}{x-1}[/tex]

Step-by-step explanation:

[tex]y = \frac{x}{x-2}\\\\swap\ x\ and \ y\\\\x = \frac{y}{y-2}\\\\x(y -2) = y\\\\xy - 2x = y\\\\xy - y = 2x\\\\y(x-1)= 2x\\\\y = \frac{2x}{(x-1)}[/tex]

Step-by-step explanation:

Given two one-to-one functions f(x)f(x) and g(x)g(x) if

(f∘g)(x)=xAND(g∘f)(x)=x(f∘g)(x)=xAND(g∘f)(x)=x

then we say that f(x)f(x) and g(x)g(x) are inverses of each other. More specifically we will say that g(x)g(x) is the inverse of f(x)f(x) and

denote it by

g(x)=f−1(x)g(x)=f−1(x)

Likewise, we could also say that f(x)f(x) is the inverse of g(x)g(x) and denote it by

f(x)=g−1(x)

Given the function f(x)f(x) we want to find the inverse function, f−1(x)f−1(x).

First, replace f(x)f(x) with yy. This is done to make the rest of the process easier.

Replace every xx with a yy and replace every yy with an xx.

Solve the equation from Step 2 for yy. This is the step where mistakes are most often made so be careful with this step.

Replace yy with f−1(x)f−1(x). In other words, we’ve managed to find the inverse at this point!

Verify your work by checking that (f∘f−1)(x)=x(f∘f−1)(x)=x and (f−1∘f)(x)=x(f−1∘f)(x)=x are both true. This work can sometimes be messy making it easy to make mistakes so again be careful.

Explanation:

Setting y=f(x)

y=xx−2

this may be rearranged (intermediate steps shown) as follows

y(x−2)=x

x⋅y−2y=x

x⋅y−x=2y

x(y−1)=2y

x=2yy−1

This expression shows x in terms of y.

That is,

f−1(x)=2xx−1

Setting y=f(x)

y=xx−2

this may be rearranged (intermediate steps shown) as follows

y(x−2)=x

x⋅y−2y=x

x⋅y−x=2y

x(y−1)=2y

x=2yy−1

This expression shows x in terms of y.

That is, it is the inverse of function f(x).

That is,

f−1(x)=2xx−1

as required.

Answer:

x =17

Step-by-step explanation:

Complementary angles add to 90

4x+ x+5 = 90

Combine like terms

5x+5 = 90

Subtract 5 from each side

5x+5-5 = 90-5

5x = 85

Divide by 5

5x/5 = 85/5

x =17

Answer:

72

Step-by-step explanation:

parallel sides= same angle.

also alternate angles theorem shows that if angles that alternate are the same. 72,108,72,108

Answer:

0.36

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

Answer:

Yes, you are correct! 0.36363636... is the answer. 0.364 would be closest.

Happy learning!

--Applepi101

Answer:

x=35

Step-by-step explanation:

because the angles are next to each other they are supplementary, which makes the total of the angle 180 degrees.

the equation would be:

180=x+14 +4x -9

add the like terms

180=5x =5

then subtract 5 from both sides

175=5x

then divide five from both sides

x=35

Answer:

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

Answer:

Para encontrar la mediana: Organice los puntos de datos de menor a mayor. Si el número de puntos de datos es impar, la mediana es el punto de datos intermedio de la lista. Si el número de puntos de datos es par, la mediana es el promedio de los dos puntos de datos intermedios de la lista.

Step-by-step explanation:

que tenga un lindo día

Answer:

[tex]a. \: \: x = {60}^{o} [/tex]

[tex]b. \: \: x = {24}^{o} [/tex]

Step-by-step explanation:

Sum of angles = 180°

[tex]a. \: \: {x}^{o} + {40}^{o} + {80}^{o} = {180}^{o} [/tex]

[tex] {x}^{o} + {120}^{o} = {180}^{o} [/tex]

[tex] {x}^{o} = {180}^{o} - {120}^{o} [/tex]

[tex] {x}^{o} = {60}^{o} [/tex]

[tex]b. \: 96+(x+12)+2x=180[/tex]

[tex]x+108+2x=180[/tex]

[tex]3x+108=180[/tex]

[tex]3x=180−108[/tex]

[tex]3x=72[/tex]

[tex]x = 24[/tex]

Answer:

910 millibars

Step-by-step explanation:

According to the Question,

Now, the air pressure at the center of a hurricane when the mean sustained wind velocity is 64 m/s is

[tex]64=6.3*\sqrt{1013-p}\\\frac{64}{6.3} = \sqrt{1013-p}\\[/tex]

on squaring both sides we get,

(10.1587)² = 1012 - p  ⇒ p = 908.80≈910millibar

p = 910millibars air pressure .

Answer: 910

Step-by-step explanation: Did the review and got it right

Answer:

A: (2 times 7)x^3 plus 4

Step-by-step explanation:

2 times 7 is 14 so 14 in the parentheses and then add 3 plus 4 equals 7.

14x^7.

Answer:

Step-by-step explanation:

sin x = 6.2/8

sin x = 0.775

x = 50. 8

Bye , have a nice day ! :-)

Applying the sine ratio, sin ∅ = opposite/hypotenuse, the value of x, to the nearest tenth of a degree, is: 50.8°.

When solving a right triangle involving the opposite side and hypotenuse, the sine ratio can be used which is, sin ∅ = opposite/hypotenuse.

Apply the sine ratio to find x

sin x = opp/hyp = 6.2/8

x = sin^(-1)(6.2/8)

x = 50.8°

Learn more about the sine ratio on:

https://brainly.com/question/2920412

#SPJ2

Answer:

The bottom left

Step-by-step explanation: