(HELP 50 POINTS)
In the figure above, point O is located at the centroid of triangle ABC. What is the combined lengths of segments DO and BO?
Select one:
A. 22
B. 25
C. 26
D. 29

Answer:

Initially:

Cam has X stickers.

Dan has 2x.

Dan gives Cam 15 stickers:

Cam has x + 15 stickers.

Dan has 2x - 15 stickers.

2x - 15 = (x + 15) + 22.

X = 52 stickers.

x + 15 = 52 + 15 = 67 stickers.

2x - 15 = 2*52 - 15 = 89 stickers.

Step-by-step explanation:

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

learn more on kite here: https://brainly.com/question/27975644

#SPJ9

The solution is,  the domain is: x ∈ (-∞, ∞).

Here, we have,

When we have two functions, f(x) and g(x), the composite function:

(f°g)(x)

is just the first function evaluated in the second one, or:

f( g(x))

And the domain of a function is the set of inputs that we can use as the variable x, we usually start by thinking that the domain is the set of all real numbers, unless there is a given value of x that causes problems, like a zero in the denominator, for example:

f(x) = 1/(x + 1)

where for x = -1 we have a zero in the denominator, then the domain is the set of all real numbers except x = -1.

Now, we have:

f(x) = x^2

g(x) = x + 9

then:

(f ∘ g)(x) = (x + 9)^2

And there is no value of x that causes problems here, so the domain is the set of all real numbers, that, in interval notation, is written as:

x ∈ (-∞, ∞)

(g ∘ f)(x)

this is g(f(x)) = (x^2) + 9 = x^2 + 9

And again, here we do not have any problem with a given value of x, so the domain is again the set of all real numbers:

x ∈ (-∞, ∞)

(f ∘ f)(x) = f(f(x)) = (f(x))^2 = (x^2)^2 = x^4

And for the domain, again, there is no value of x that causes a given problem, then the domain is the same as in the previous cases:

x ∈ (-∞, ∞)

(g ∘ g)(x) = g( g(x) ) = (g(x) + 9) = (x + 9) +9 = x + 18

And again, there are no values of x that cause a problem here,

so the domain is:

x ∈ (-∞, ∞)

To learn more on domain click:

brainly.com/question/2622299

#SPJ1

complete question:

Consider the following functions. f(x) = x2, g(x) = x + 9 Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.) Find (g ∘ f)(x). Find the domain of (g ∘ f)(x). (Enter your answer using interval notation.) Find (f ∘ f)(x). Find the domain of (f ∘ f)(x). (Enter your answer using interval notation.) Find (g ∘ g)(x). Find the domain of (g ∘ g)(x). (Enter your answer using interval notat

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Inequality Form: a < 2.9 Interval Notation: ( 2.9 )

2) graph

same as 3, 4, 5

6) Inequality Form: 2 < y < 5 Interval Notation: ( 2 , 5 )

7)

a) 110+92=202+x=c

b) 110+92=202

202+98=300

Answer: C

Step-by-step explanation:

Answer: the second one

Answer:

B

Step-by-step explanation:

because it's the only one that passes the vertical line test.

Answer:

the area would be 176.7

Step-by-step explanation:

You know the area of a circle is A = pi×r^2, so you need the radius.

You know C = 2pi×r, so r = C/(2pi)

r = 15pi / 2pi = 7.5

A = pi(7.5)^2 = 56.25pi ~ 176.715 square inches.

The area of the circle is about 176.7 square inches.

The radius of the circle is 7.5 inches. Therefore, the area of the circle will be 56.25π square inches.

Let r be the radius of the circle. Then the area of the circle will be given as,

A = πr² square units

The circumference of the circle will be given as,

C = 2πr units

The circumference of a circle is 15π inches. Then the radius of the circle is calculated as,

15π = 2πr

r = 7.5 inches

The area of the circle is calculated as,

A = π x 7.5²

A = 56.25π square inches

More about the circumference and area of a circle link is given below.

https://brainly.com/question/16125353

#SPJ2

9514 1404 393

Answer:

  x = 12.75

  ∠C = 51.75°

Step-by-step explanation:

The two marked angles are complementary, so ...

  (5x -12) +(3x) = 90

  8x = 102

  x = 102/8

  x = 12.75

__

C = (5x -12)° = (5(12.75) -12)°

  ∠C = 51.75°

__

Check

E = 3x = 38.25, then C+E = 51.75 +38.25 = 90 . . . . as it should

Answer: The radius of the circle is 5 3/8 inches.

Step-by-step explanation:

The radius of the circle is half of the diameter. We can start by converting the mixed number diameter to an improper fraction:

10 3/4 = (10 × 4 + 3)/4 = 43/4

So, the diameter of the circle is 43/4 inches. The radius is half of this, which we can find by dividing by 2:

r = (43/4) ÷ 2 = 43/8

To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:

r = 43/8 = 5 3/8

Therefore, the radius of the circle is 5 3/8 inches.

Answer:5 3/4

Step-by-step explanation:

10 3/4 * 1/2

1/2 * 43/4 = 43/8

8/43=5 3/4

The measure of the arc opposite to 189° is 136°.

Secant lines are lines that intersect a curve at two distinct points. They are used to approximate the slope of the curve by measuring the change in the y-coordinate of the two points divided by the change in the x-coordinate of the two points.

The measure of the angle opposite to 189° is x.

To solve for x, we can use the property of alternate interior angles.

The sides of the two secant lines that intersect outside the circle form alternate interior angles whose measures are equal.

Therefore, the two angles formed by the secant lines inside the circle must have the same measure.

Therefore, 53° + x° = 189°.

Subtracting 53° from both sides, we get x° = 136°.

For more questions related to arc

https://brainly.com/question/29860198

#SPJ1

Answer:

3/5 x less then or equal to sign 21

Step-by-step explanation:

just trust me

Answer:

(-0.481 , -0.144)

Step-by-step explanation:

Confidence Interval for difference is proportion formula is given as:

p1 - p2 ± z ×√[p1(1 - p1)/n1 +p2 (1 - p2)/n2]

For p1

Of the 96 people surveyed in the eastern half of a country, 42 said they fly to visit family members for the winter holidays.

n1 = 96 people

p1 = x/n

x = 42 people

p1 = 42/96

= 0.4375

1 - p1 = 0.5625

For p2

Of the 108 people surveyed in the western half of the country, 81 said they fly to visit family members for the winter holidays.

n2 = 108 people

p2 = x/n

x = 81 people

p2 = 81/108

= 0.75

1 - p2 = 0.25

99% confidence interval = 2.576

p1 - p2 ± z ×√[p1(1 - p1)/n1 +p2 (1 - p2)/n2]

= 0.4375 - 0.75 ± 2.576 ×√[0.4375(1 -0.4375)/96 +0.75 (1 - 0.75)/108]

= -0.3125 ± 2.576 × √0.4375× 0.5625/96 + 0.75 × 0.25 /108

= -0.3125 ± 2.576 × √0.0025634766 + 0.0017361111

= -0.3125 ± 2.576 × √0.0042995877

= -0.3125 ±2.576 × 0.0655712414

= -0.3125 ± 0.1689115178464

Confidence Interval

-0.3125 - 0.1689115178464

= -0.4814115178

Approximately to 3 decimal places = -0.481

= -0.3125 + 0.1689115178464

= -0.1435884822

Approximately to 3 decimal places = -0.144

Therefore, the 99% confidence interval for difference in proportion = (-0.481 , -0.144)

The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.

The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.What is inverse sine?

The inverse sine function or arc sine function is the inverse function of the sine function. It is defined as follows:If y = sin x, then x = sin-1 y, where x is the angle whose sine is y.

The range of the inverse sine function is from -π/2 to π/2 radians or from -90 to 90 degrees. It is denoted by sin-1 or arcsin.What is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?

Given that the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is to be determined.

Using the formula, sin θ = opposite side/hypotenuse= (StartRoot 2) / 2= 0.707The angle whose sine is 0.707 can be found using a calculator or a unit circle.

The inverse sine of 0.707 is π/4 radians or 45 degrees.

To learn more about : value

https://brainly.com/question/843074

#SPJ8

Answer:

hey from where are you...

The first three terms of the arithmetic sequence are -97, -63, and -29.

The value of x = -14.

To find the value of x and the first three terms of the arithmetic sequence, we can equate the differences between consecutive terms:

The common difference (d) is the same between all consecutive terms.

So, we have:

(5x + 7) - (7x + 1) = (2x - 1) - (5x + 7)

Simplifying the equation:

5x + 7 - 7x - 1 = 2x - 1 - 5x - 7

-2x + 6 = -3x - 8

Now, let's solve for X:

-2x + 3x = -8 - 6

x = -14

Substituting the value of X back into the expressions, we can find the first three terms:

First term: 7x + 1 = 7(-14) + 1 = -97

Second term: 5x + 7 = 5(-14) + 7 = -63

Third term: 2x - 1 = 2(-14) - 1 = -29

Learn more about Arithmetic Sequence on:

https://brainly.com/question/6561461

#SPJ1

Answer: the y-intercept is at four

Step-by-step explanation: 4 is the point which the function cross the y axis on a graph

Answer:

there are 2000 pounds in a ton so you just gotta divide 2000/80 and get 25.

this help?

Step-by-step explanation:

Answer:

ITS 50 NOT 25

Step-by-step explanation:

they said 2 tons not 1, and 2 tons equal 4000 pounds

soo \(\frac{4000}{80}\) is 50 not 25, hoped this helped.

Answer:

\( \large{ \tt{☄ \: STEP- BY - STEP \: EXPLANATION}} : \)

\( \large{ \bf{❃ \: (6x - 28) \degree = (4x + 20) \degree}}\)

\( \large{ \bf{↬6x - 28 \degree = 4x + 20 \degree}}\)

\( \large{ \bf{↬ \: 6x - 4x = 20 \degree + 28 \degree}}\)

\( \large{ \bf{↬2x = 48 \degree}}\)

\( \large{ \bf{↬x = \frac{48 \degree}{2}}} \)

\( \large{ \bf{↬ \boxed{ \bf{x = 24 \degree}}}}\)

\( \large{ \bf{⇢m \: RS = (6x - 28) \degree = (6 \times 24 - 28) \degree = \boxed{ \bf{116 \degree}}}}\)

\( \large{\boxed{ \boxed{ \tt{⟿ \: OUR \: FINAL \: ANSWER : \boxed{ \underline{ \bf{116 \degree}}}}}}}\)

\( \large{ \tt{✺ \: STUDY \: TIP}} : \)

ツ Hope I helped! ۵

☼ Have a wonderful day / evening ! ☃

# StayInAndExplore ! ☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

D

Step-by-step explanation:

So 5(2+7) equals 45

A. 2(5+7)=24

B. 2+7(5)=37

C. 5(2)+7=17

D.5(2)+5(7)=45

Only D equals 45

Hope I helped :D

The probability of drawing an orange marble and then a green marble without replacement  is (a) 1/15 .

The probability of drawing an orange marble on the first draw = 2/10 because there are 2 orange marbles out of total of 10 marbles .

After 1 orange marble is drawn, there are 9 marbles left in the box, of which 3 are green.

So, the probability of drawing a green marble on the second draw, given that an orange marble was drawn on the first draw, is 3/9.

⇒ P(orange, green) = P(orange) × P(green | orange was drawn)

⇒ P(orange, green) = (2/10) × (3/9) = 6/90 = 1/15  ;

Therefore , the value of P(Orange , Green) is = 1/15 .

Learn more about Probability here

https://brainly.com/question/15855231

#SPJ4

The given question is incomplete , the complete question is

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(orange ,green)

(a) 1/15

(b) 2/15

(c) 3/31

(d) 1/5

The discriminant of the quadratic equation is 0.

The equation has only one solution

The solution is a real solution

From the question, we are to determine the discriminant of the given quadratic equation

The given quadratic equation is

4b² - 8b + 4 = 0

Given a quadratic equation of the form, ax² + bx + c = 0, the discriminant, D, is given by

D = b² -4ac

In the given equation,

a = 4, b = -8, and c = 4

Then,

Discriminant, D = (-8)² - 4(4)(4)

D = (64 - 64)

D = √0

D = 0

∴ The discriminant is 0

Since the discriminant is 0,

Hence, the quadratic equation will have one real solution

Learn more on Discriminant of a Quadratic equation here: https://brainly.com/question/18967071

#SPJ1

Answer:

\(S_{18}=-792\)

Step-by-step explanation:

The given arithmetic series is:

From inspection of the given series, the first term is 24.

The common difference is the difference between consecutive terms.

Therefore, the common difference of the given series is -8 as each term is 8 less than the previous term.

\(\boxed{\begin{minipage}{7.3 cm}\underline{Sum of the first $n$ terms of an arithmetic series}\\\\$S_n=\dfrac{1}{2}n[2a+(n-1)d]$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $d$ is the common difference.\\ \phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}\)

To find the sum of the first 18 terms of the given series, substitute a = 24, d = -8 and n = 18 into the sum formula.

\(\implies S_{18}=\dfrac{1}{2}(18)\left[2(24)+(18-1)(-8)\right]\)

\(\implies S_{18}=9\left[48+(17)(-8)\right]\)

\(\implies S_{18}=9\left[48-136\right]\)

\(\implies S_{18}=9\left[-88\right]\)

\(\implies S_{18}=-792\)

Therefore, the sum of the first 18 terms of the given arithmetic series is -792.

Answer:

for angle H ,

hypotenuse = gh( √77)

adjacent side= ih( √35)

perpendicular=gi( √42)

then

we know

secant=hypotenuse /adjacent

=√77/√35

Answer:

it is too hard bro

Step-by-step explanation:

sry I can't give

Answer:

Which company charges $80 for a lawn that is 10 acres?

Company B

Step-by-step explanation:

I got the question wrong for you

Answer:

true

Step-by-step explanation:

3n3n3p0mdo98rueu33

The area of the pool given by the expression, ∆ × 102 + ∆ × 101 + 6, gives;

A) The whole number x = 33

B) The perfect square number closest to 33 is 36

The side length of a square pool with an area of 36 square units is 6 units

C) The side length of a square pool with the area chosen in part A is 33•√33

An expression is a mathematical statement which consists of 2 or more numbers and, or variables joined together by mathematical operators.

A) The given equations for the pool is presented as follows;

Area of the pool = ∆ × 102 + ∆ × 101 + 6

Area of the pool = x³

x = A whole number

Expressing the word problem mathematically gives;

∆ × 102 + ∆ × 101 + 6 = x³

203•∆ + 6 = x³

Which gives;

\( \displaystyle{ \triangle = \frac{ {x}^{3} - 6}{203} }\)

Using a graphing calculator, when x = 33, we get;

\( \displaystyle{ \triangle = \frac{ {33}^{3} - 6}{203} = 177 }\)

The value of the number is x = 33 and ∆ = 177

B) The perfect square that is closest to x = 33 is 36

The side length of a square pool with an area of 36 is √(36) = 6

C).The area of the pool chosen is 33³ = 35937

The side length of a square pool with an area of 35937 is √(35937) = 33•√(33)

Learn more about word problems in mathematics here:

https://brainly.com/question/2068175

#SPJ1

Answer:

The ratio equivalent to the sin of ∠A will be:

sin ∠A = BC / AB

Hence, option 3) is correct.

Step-by-step explanation:

We know that some of the trigonometric ratios such as

In our case

Ф  = ∠A

As we have to determine the ratio equivalent to the sin of ∠A

so

sin Ф = Opposite / Hypotenuse

Here:

Ф  = ∠A

Opposite of ∠A = BC

Hypotenuse = AB

Thus,

substituting Ф  = ∠A, Opposite = BC, Hypotenuse = AB

sin Ф = Opposite / Hypotenuse

sin ∠A = BC / AB

Therefore, the ratio equivalent to the sin of ∠A will be:

sin ∠A = BC / AB

Hence, option 3) is correct.