Find three consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third.

Answer:

To find the mean, you add all the numbers given (12, 15, 10, and 11) and then divide by the number of values in the set (in this case, 4). This is the same as finding an average. To do this, you add 12 + 15 + 10 + 11 = 48. ... Therefore, the mean is 12.

Answer:

Your answer is given below:

Step-by-step explanation:

12+15+10+11/4

= 48/4

= 12

ㅡ TheExtraterestrial

Answer:

m<ABO = 22 deg

Step-by-step explanation:

A tangent intersects a circle at the point of tangency making a right angle with the radius drawn to that point. That means that <BAO is a right angle and measures 90 deg. That makes the other two angles of the triangle complementary with a sum of 90 deg.

m<O + m<B = 90

68 + m<B = 90

m<B = 22

Answer: m<ABO = 22 deg

Answer:

Step-by-step explanation:

If EG is a diameter, then arc EFG is a semicircle and its measure is 180. Arc FG then is 180 - 124 = 56. Since angle FEG is an inscribed angle and the arc it cuts off is arc FG, then the measure of the inscribed angle is half the measure of the arc it cuts off...so angle FEG is 28 degrees. Keep that in mind; we'll need it in a sec.

If HE is tangent to the circle at E, then angle HEG is a 90 degree angle. Adding that to angle FEG will give you angle FEH. Angle FEH = 90 + 28 = 118

Answer:

13.21148134 meters

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 39 = x /17

17 cos 39 = x

13.21148134 = x

Answer:

Step-by-step explanation:

take 39 degree as reference angle

using cos rule

cos 39=adjacent/hypotenuse

0.77=x/17

0.77*17=x

13.09=x

Answer:

Step-by-step explanation:

Two similar triangles have a scale factor of 2 : 3.

7a. The ratio of their perimeters is 2 : 3.

As the sides are 2 : 3, the perimeters which are sums of all sides will also be 2 : 3

True

7b. The ratio of their areas is 4 : 6. True or False

As the sides are 2 : 3, the areas which are the products of two sides will be in the ratio of 2*2 : 3*3 = 4 : 9

False

7c. Their perimeters could be 14 cm and 21 cm. True or False

As the perimeter ratio for 14cm and 21 cm is 14 : 21 = 2 : 3 which complies with 7a. So they could be the perimeters.

True

7d. Two corresponding sides could be 6 in and 7 in. True or False

As the corresponding sides of 6in and 7in, the ratio is 6 : 7 and is different from 2 : 3.  So they cannot be corresponding sides.

False

Answer:

Step-by-step explanation:

7a. perimeter=3 sides added so the ratio is the same

The ratio of their perimeters is 2 : 3.

True

7b. area= sidexside so the ratio is 2x2:3x3 = 4:9

The ratio of their areas is 4 : 6.

False

7c. 14:21 =2:3

Their perimeters could be 14 cm and 21 cm.

True

7d. 6:7 <> 2:3

Two corresponding sides could be 6 in and 7 in.

False

Answer:

the first option

Step-by-step explanation:

(f-g)(x) simply means to subtract both expressions. really literally.

and we go through it power by power of x.

the highest power/exponent of x is 3 (x³). only f(x) has one.

so, -7x³ is the first part of f-g.

next is x².

11x² - 6x² = 5x², which is the second part of f-g.

next is x.

-8x - (-14x) = -8x + 14x = 6x, which is the third part of f-g.

next is x⁰ (in other words, no x, just a constant).

4 - (-3) = 4 + 3 = 7, which is the 4th part of f-g.

we have no x to the power of -1 or -2, so we have -3

0 - (-4x‐³) = 4x‐³, which is the last part of f-g.

so, it is clearly the first answer option.

Answer:

200 ft^3

Step-by-step explanation:

Volume of rectangular prism equation is

[tex]V=lwh[/tex]

steps in attachment

The shape can be split into 3 separate shapes:

On the left side a square 3 x 3 = 9 square inches.

The middle rectangle that is 2 x 5 = 10 square inches

The bottom rectangle which is 4 x 4 = 16 square inches

Total area = 9 + 10 + 16 = 35 square inches

Answer:

24

Step-by-step explanation:

Area = width * length

Given width = 2cm

Given length = 12cm

Area = 2 * 12 = 24

Answer:

5.25

Step-by-step explanation:

Answer:the sub goes down 32.81ft per min

Step-by-step explanation:

2100

2hours

1050ft

1hour

525ft

30min

262.5ft

15min

262.5 ft

7.5min

131.25

4min

65.625ft

2min

32.81ft

1mins

Answer:

41

Step-by-step explanation:

The formula for solving for sin is opposite side/hypotenuse.

The opposite side of <A is BC (28 units) and the hypotenuse is AB (53 units).

sin A = 28/53

A = sin^-1(28/53) --> To remove the sin, you have to multiply the inverse of sin on both sides.

A ≈ 41

Hope this helped! <3

Answer:

Step-by-step explanation:

circumference of circle=2πr

=2*π*9

=18π m

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Radius of the circle = 9 m.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The circumference of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

A. C = 18 π ✅

[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:18\:π\:m.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2Πr }[/tex]

[tex] = 2 \: \pi \times 9 \: m \\ = 18 \: \pi \: m[/tex]

Therefore, the circumference of the circle is 18 π m.

[tex]\large\mathfrak{{\pmb{\underline{\blue{Happy\:learning }}{\blue{!}}}}}[/tex]

Answer:

The measure of arc DC is 50°. Circle O is shown. Line segments A C and E B are diameters. Line segment O D is a radii. Point D is between points E and C. Angle B O D is 90 degrees. What is the measure of Arc E B C? 40° 90° 140° 220°

Step-by-step explanation:

Answer: 20 cm

Step-by-step explanation:

Given

For the right angle triangle, the length of the other two sides of triangle are 12 cm and 16 cm

Using the Pythagoras theorem, [tex](\text{Hypotenuse})^2=(\text{Perpendicular})^2+(\text{base})^2[/tex]

Insert the values

[tex]\Rightarrow H^2=12^2+16^2\\\Rightarrow H^2=144+256\\\Rightarrow H^2=400\\\Rightarrow H=\sqrt{400}\\\Rightarrow H=20\ cm[/tex]

Answer:

1.49216 x 10^11 m.

Step-by-step explanation:

That would be the following difference:

1.496 x 10^11 - 3.84 x 10^8

= 1.49216 x 10^11 m.

OPTION

d. y= -3/4x+5/4 is the correct answer.

Refer to the attachmenta for complete calculation

Answer:

35 minutes

Step-by-step explanation:

The is calculated using the Subtraction operation

The number of minutes longer the team practiced today than yesterday =

Number of minutes they practiced today - Number of minutes they practiced yesterday

Number of minutes they practiced today = 3 hours 15 minutes

Number of minutes they practiced yesterday = 2hours 40 minutes

The number of minutes longer the team practiced today than yesterday =

3 hours 15 minutes - 2hours 40 minutes

= 35 minutes

Therefore, the team practiced 35 minutes longer today than yesterday

Answer:

Step-by-step explanation:

total students = 27

students do not have a brother probability = 13/27

students do not have a sister probability = 12/27

= 4/9

Hope this is correct :)

The probability that a student is chosen randomly from the class does not have a sister is 0.375.

The probability that a student is chosen randomly from the class Has a brother is 0.208.

The probability that a student is chosen randomly from the class does not have a brother is 0.7916.

The probability that a student is chosen randomly from the class Has a sister is 0.625.

Probability is the branch of mathematics, which discusses the occurrence of a random experiment.

First, we need to calculate how many total students there are.

Once we have the total we have to divide the number in the category that we want by the total number of students to calculate the probability of randomly getting a student in that category.

Total Students = 3 + 12 + 2 + 7 = 24 students

The probability that a student is chosen randomly from the class does not have a sister is;

[tex]= \dfrac{2+7}{24}\\\\=\dfrac{9}{24}\\\\=0.375[/tex]

The probability that a student is chosen randomly from the class Has a brother is;

[tex]= \dfrac{3+2}{24}\\\\=\dfrac{5}{24}\\\\= 0.208[/tex]

The probability that a student is chosen randomly from the class does not have a brother is;

[tex]= \dfrac{7+12}{24}\\\\=\dfrac{19}{24}\\\\= 0.7916[/tex]

The probability that a student is chosen randomly from the class Has a sister is;

[tex]= \dfrac{3+12}{24}\\\\=\dfrac{15}{24}\\\\= 0.625[/tex]

Learn more about proability here;

https://brainly.com/question/23959949

#SPJ2

Answer:

upper left graph:  y = 3/4x-3

lower right graph:  x = 3

Step-by-step explanation:

Answer:

pls help me tooo answer that

Answer:

Step-by-step explanation:

B

Answer:

thirty million forty-six thousand twenty-two

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

120° = CAB

arc lenght = CÁB/ 360 × 2(pi)(4)

a/2pi(4) = CAB/360

8/3(pi)/2(pi)(4) × 360 = CÁB

120 = CAB

Answer:

120°

Step-by-step explanation:

that is the procedure above

Answer:

The maximum height that the stone reaches is of 26 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

y = -2x2 + 8x + 5

Quadratic function with [tex]a = -2, b = 8, c = 5[/tex]

What is the maximum height that the stone reaches?

y value of the vertex. So

[tex]\Delta = 8^2-4(-2)(5) = 64 + 40 = 104[/tex]

[tex]y_{v} = -\frac{104}{4(-2)} = 26[/tex]

The maximum height that the stone reaches is of 26 feet.

Answer:

46 ≥ 2m + 4

m ≥ 21

Step-by-step explanation:

At least is ≥

Karen's age = 46 years old

Mary's age = m years old

Karen is at least 4 years more than twice mary's age (m).

46 ≥ 2m + 4

46 - 4 ≥ 2m

42 ≥ 2m

m ≥ 42/2

m ≥ 21