Calculando a expressão (-2)² + (+5)², obtemos qual resultado?
a) + 29
b) + 21
c) + 14
d) + 6

Answer:

The diameter of a circle with an area of 100 square miles is 20/√π miles.

Step-by-step explanation:

Area =100 = πr^2.

diameter = d = 2r.

100 = πr^2.

100/π = r^2.

√(100/π) = r.

10/√π = r.

d = 2r.

d = 2 * 10/√π.

d = 20/√π

1.4 feet

let me know if you get it right hope i helped!

Answer:

14

Step-by-step explanation:

a2+(48)2=

 502\,\,50^{2}502

Use the Pythagorean Theorem.

a2+2304=a^{2}+2304=a2+2304=

 2500\,\,25002500

Simplify.

−2304-2304\phantom{=}−2304=

 −2304\,\,-2304−2304

Subtract 2304 from both sides.

a2=a^{2}=a2=

 196\,\,196196

a2=\sqrt{a^{2}}=a2

​=

 ±196\,\,\pm\sqrt{196}±196

​

Square root both sides.

a=a=a=

 14\,\,1414

Simplify. Ignore negative root, as length must be positive.

Answer:

y = -8x + 10

Step-by-step explanation:

y = -8x + b

2 = -8(1) + b

2 = -8 + b

10 = b

9514 1404 393

Answer:

  y = -8x +10

Step-by-step explanation:

The y-intercept can be found from the equation ...

  b = y -mx

Using the given point and slope, this is ...

  b = 2 -(-8)(1) = 10

Then the slope-intercept equation is ...

  y = mx +b

  y = -8x +10

Answer:

D. -8√70 + 7√2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

√7(-8√10 + √14)

Step 2: Simplify

Answer:

30mm

Step-by-step explanation:

if only i knew I would love to help you sorry

Answer:

4:    1 2/3

5.  5/21     b. 1/4    c. 11/18   d.  3/20

6.  11/12     b. 10/12 < 11/12

7. 4/45

Step-by-step explanation:

4.     1/3 times 5

6.    just add

7. 1/5 minus 1/9

Answer:

hey this is my alt acount im doing this so i can give brainiest

Step-by-step explanation:

Answer:

the points that lie on a circle is (2,2) and (5,-7)

Answer:

Its really simple

Step-by-step explanation:

first you take the 10 then turn it into joe then mama

Answer:

-1/10 - 1x^3 + x^4 + 3x

Step-by-step explanation:

negative one tenth minus 1x exponet 3 plus x exponent 4 plus 3x

Answer:

There are 2,520 unique permutations.

Step-by-step explanation:

When we have a set of N different elements, the total number of permutations is given by:

P = N! = N*(N - 1)*(N - 2)*...*(2)*(1)

Particularly, if out of these N elements, there are a given element that is repeated K times, then the permutations of these K elements actually do not add new unique permutations, then in that case the total number of unique permutations is:

P = N!/K!

And if we have another element that is repeated L times, then with the same reasoning than above, the total number of unique permutations is:

P = N!/(K!*L!)

Now, we have the set:

{C, E, A, S, E, L, E, S, S}

So we have a set of 9 letters, then:

N = 9

And, the letter S is repeated 3 times

The letter E is repeated 3 times

Then, using the above notation, we can define:

K = 3

L = 3

The total number of permutations is then:

[tex]P = \frac{9!}{3!*3!} = \frac{9*8*7*6*5*4*3*2*1}{3*2*1*3*2*1} = \frac{9*8*7*6*5*4}{3*2*1} = 2,520[/tex]

So there are 2,520 unique permutations.

The two angles are supplementary angles, which when added together equal 180 degrees.

6x -10 + 6x +10 = 180

Combine like terms:

12x = 180

Divide both sides by 12:

x = 180/12

x = 15

The answer is C) 15

Answer:

6 years

Step-by-step explanation:

750+5%=787.5  (repeat add 5% to the sum of the previous till you reach 1000)

The graph of y = 3x + 1 lies in quadrants I and III. The graph of the equation y = 3x + 1 is a straight line with a positive slope.

To determine the quadrants in which the graph lies, we need to analyze the signs of the x and y coordinates in different regions of the coordinate plane.

Quadrant I: In this quadrant, both the x and y coordinates are positive. When we substitute positive values for x into the equation, we obtain positive values for y. Since the slope is positive, the line rises as we move from left to right. Therefore, the graph lies in quadrant I, where both x and y are positive.

Quadrant III: In this quadrant, the x coordinate is negative, while the y coordinate is positive. If we substitute negative values for x into the equation, we still obtain positive values for y. The positive slope ensures that the line rises from right to left. Hence, the graph also lies in quadrant III.

The graph does not pass through quadrants II and IV because the signs of the coordinates do not align with the equation. In quadrant II, the x coordinate is negative, but the y coordinate is negative as well. In quadrant IV, both the x and y coordinates are positive, which contradicts the equation. Therefore, the graph of y = 3x + 1 is confined to quadrants I and III.

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Answer:

a = 5

Step-by-step explanation:

According to the factor theorem, if x + 2 is a factor, then by dividing the polynomial by the binomial, we are meant not to have a remainder

In this case, the remainder would be zero

So, if we set the binomial equals zero and substitute the x-value into the polynomial, we are supposed to have 0

So we have this as;

x + 2 = 0

x = -2

-2^3 -2(-2)^2 -2(a) + 6 = 0

-8-8-2a + 6 = 0

-16 + 2a + 6 = 0

2a -10 = 0

2a = 10

a = 10/2

a = 5

Answer:

sorry need points Step-by-step explanation:

sorry need points sorry need points

Answer:

[tex]y=-\frac{5}{2}x-4[/tex]

Step-by-step explanation:

[tex]slope=\frac{6-(-4)}{-4-0}=\frac{10}{-4}=-\frac{5}{2}[/tex]

[tex]y-6=-\frac{5}{2}[x-(-4)] \\\\y-6=-\frac{5}{2} (x+4)\\\\y-6=-\frac{5}{2}x -10\\\\y=-\frac{5}{2}x-4[/tex]

Answer:

Answer in the image

Answer:

n=-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

8n=-40

n=-40/8

n=-5

Answer:

answer is a 20+4i

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slant height s = 12

Radius r = 8

Lateral area of cone = πrs = 96π units²

Base area of cone = πr² 64π units²

Surface area = 96π + 64π = 160π units²

Answer:

I think the answer is 6.......

Answer:

22155.84 in

Step-by-step explanation:

r = 84 in

π = 3.14

then area if circle = r² × π

… A = 84² × π = 22155.84 = ( 22.15584 min )

Answer:

1300

Step-by-step explanation:

4 times 5 = 20

260 times 5 = 1300

Answer:

1300 times

Step-by-step explanation:

195 is is 3 X 65 so dividing 195 by 3 gets you 65

65 X 20 = 1300

The domain of the function is x> -4.

The correct option is B.

We have the function

f(x) = 12/ √(x+ 4) - 2

Now, putting f(x) = 0

12/ √(x+ 4) - 2 = 0

12 -  2√(x+ 4) = 0

-2√(x+ 4) = -12

√(x+ 4) = 6

Taking Square on both side we get

x+ 4 = ±36

x = ± 36 - 4

x = 32 or x= -40

Thus, the domain of the function is x> -4.

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Answer:

x =  -4 ± i4

Step-by-step explanation:

This is a quadratic equation with coefficients {1, 8, 32}.  We apply the quadratic formula to solve for x.  The first step is to find the 'discriminant,' b^2 - 4 ac, which here is (8)^2 - 4(1)(32), or 64 - 128, or -64.  

A negative discriminant indicates that this quadratic has two unequal complex roots.  

                               -b ± √(b^2 - 4ac)

The formula is x = ----------------------------

                                         2a

which, when evaluated at a = 1, b = 8 and c= 32, yields

                               -8 ± √(-64)

The formula is x = ----------------------------

                                         2(1)

or:

                               -8 ± i√64                

The formula is x = -----------------   = x =  -4 ± i4

                                        2

First, we imagine a right triangle. Second, we are given that the building is 62 feet tall. Since the height of building is vertical straight - that means the height is opposite side of triangle. It also casts a shadow 21 meters long. Shadow should be the adjacent side because it casts on the ground and not on the air.

If we imagine the right triangle + the problem in our head, we'd get the triangle that the opposite side is 62 feet tall and the adjacent side is 21 meters long.

Use the tangent ratio to find the angle of sun shining.

[tex] \large \boxed{ \tan \theta = \frac{opposite}{adjacent} }[/tex]

Substitute adjacent = 21 and opposite = 62 in the ratio.

[tex] \large{tan \theta = \frac{62}{21} }[/tex]

For this part, you might need a calculator or trigonometric table because some values cannot be exactly found.

From the equation, we should get 71.288 which we round the answer to nearest hundreth and the answer would be 71.29

Answer

Answer:

71.29°

Step-by-step explanation:

By question its given that , a 62 feet tall tree cast a shadow of 21 m long. We need to find the angle at which the sun is shining on the building .

For this we gonna imagine a right angle triangle . Where , the length of the shadow will be the base of the triangle and the height of the building will be the perpendicular on the triangle .

Here since we have got perpendicular and base , we can use the ratio of tan . We know that tan is defined as perpendicular by base , that is ,

[tex]\implies tan \theta =\dfrac{perpendicular}{base}[/tex]

Plug in the respective values , we have ,

[tex]\implies tan \theta =\dfrac{62}{21} \\\\\implies\theta = tan^{-1}\bigg( \dfrac{62}{21}\bigg) \\\\\implies \underline{\underline{\theta = 71.29^o }}[/tex]

Hence the required answer is 71.29° .

By definition of coterminal angles, the negative angle that is equivalent to an angle of 285° is equal to - 75° degrees. (Correct choice: D)

In this problem we must determine a negative angle coterminal to a given angle, two angles are coterminal when both have the same direction. Given that a complete revolution is done each 360°, we can derive an expression for angles coterminal to a given one:

θ' = θ + i · 360°     (1)

Where i is the index of the coterminal angle.

If we know that θ = 285° and i = - 1, then the negative angle is:

θ' = 285° + (- 1) · 360°

θ' = - 75°

By definition of coterminal angles, the negative angle that is equivalent to an angle of 285° is equal to - 75° degrees. (Correct choice: D)

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Answer:

9,000

Step-by-step explanation:

180/400 × 20,000 = 9,000

Answer:

9,000

Step-by-step explanation:

180÷400= 0.45

0.45×20,000= 9,000