27
C
A
54
B
Based on the diagram, which expresses all possible
lengths of segment AB?
O AB = 25
O 27 OAB = 85
O AB< 27 or AB > 81

Answer:

[tex]\sf x=1+i\sqrt{\dfrac{2}{3}} \ \quad and \quad \:x=1-i\sqrt{\dfrac{2}{3}}[/tex]

Explanation:

Given Expression:

Use the Quadratic Formula:

[tex]\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0[/tex]

insert coefficients

[tex]\Longrightarrow \sf x = \dfrac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:3\cdot \:5}}{2\cdot \:3}[/tex]

[tex]\Longrightarrow \sf x = \dfrac{\left6\right\pm \sqrt{-24} }{6}[/tex]

[tex]\Longrightarrow \sf x = \dfrac{\left6\right\pm 2\sqrt{6}i}{6}[/tex]

[tex]\Longrightarrow \sf x =1 \pm i\dfrac{\sqrt{6} }{3}[/tex]

[tex]\Longrightarrow \sf x=1+i\sqrt{\dfrac{2}{3}}, \quad 1-i\sqrt{\dfrac{2}{3}}[/tex]

Use quadratic formula

[tex]\\ \rm\Rrightarrow x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{6\pm \sqrt{36-60}}{6}[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{6\pm\sqrt{-24}}{6}[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{6\pm2\sqrt{6}i}{6}[/tex]

[tex]\\ \rm\Rrightarrow x=1\pm \dfrac{sqrt{2}i}{\sqrt{3}}[/tex]

[tex]\\ \rm\Rrightarrow x=1\pm\sqrt{\dfrac{2}{3}}i[/tex]

Answer:

x = 60°, y = 78°, z = 29°.

Step-by-step explanation:

(x). Alternate exterior angles are congruent, so ∠OSP ≅∠HJP, and ∠OSP measures x°. Of the given information, we know ∠HJP = 60°.

(y). Vertical angles are congruent, so: ∠OPS ≅∠JPH, and in the diagram ∠OPS measures y°. To find ∠JPH, subtract the other angle measures in this triangle within the quadrilateral. This is represented by: 180 - (60+42) = 78°.

(z). Similar to the first variable's solution, z is the measure of ∠SHP, which is congruent to ∠JOP. Of the given information, we know ∠JOP = 29°. z° is the measure of its alternate, so it is congruent.

Answer:

noncollinear

Step-by-step explanation:

my guess sorry if im wrong

"How many sticks of gum can you eat at one time?" is the finest and most right response. Then the correct option is A.

A statistical question is one that may be addressed by gathering data from several sources.

A statistical question is one that may be addressed by gathering data and in which the data is likely to vary. This is not the same as a question with a predetermined response.

The first choice or letter A, "How many sticks of gum can you eat at one time?" is the finest and most right response among the options supplied by your query.

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Answer:

2.953

Step-by-step explanation:

Following the order of operations, work from left to right for addition/subtraction.

Subtraction:

[tex]\begin{array}{r r r r r} ^0\diagup\!\!\!\!1 &. & ^10 & ^0\diagup\!\!\!\!1&^1 2\\ -\quad0&.&8&0&9\\\cline{1-5}0&.&2&0&3\\\cline{1-5} \end{aligned}[/tex]

Addition:

[tex]\begin{array}{r c c c r} 0 & . & 2&0&3\\ + \:\:2 &.& 7 & 5\\\cline{1-5}2&.&9&5&3\\\cline{1-5} \end{aligned}[/tex]

Therefore, the solution is 2.953

Let's see

2.75 can be written as 2.750

Por razones trigonométricas, encontramos que las alturas de la torre y el edificio son de aproximadamente 11.548 metros y 31.548 metros, respectivamente.

En esta pregunta debemos utilizar conceptos de trigonometría para determinar la altura de los dos edificios. A continuación, tenemos las siguientes expresiones trigonométricas:

Diferencia entre las alturas del edificio y el torre

20 = r₁ · sin 60°

r₁ ≈ 23.094 m

Ahora determinamos el valor de r₂ mediante identidades trigonométricas:

r₂ = r₁ · (cos 60°/cos 45°)

r₂ = (23.094 m) · (cos 60°/cos 45°)

r₂ ≈ 16.330 m

Finalmente, obtenemos las alturas de cada edificio:

Torre

h = (16.330 m) · sin 45°

h ≈ 11.548 m

Edificio

h' = h + 20 m

h' = 11.548 m + 20 m

h' = 31.548 m

Por razones trigonométricas, encontramos que las alturas de la torre y el edificio son de aproximadamente 11.548 metros y 31.548 metros, respectivamente.

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AYEEE SAME WOOOO!!! HOPE YOU'RE HAVING A GREAT DAY :D

the answer is A.B

I mean the answer is a and b

The expression, the company can use to predict the value of the car is v =32000 (0.8)^t

The company which provides term life or accidental or death insurance in terms of money when one subjects to any of the conditions.

Given is an insurance company estimates that the value of a car depreciates by 20% each year (That also means it retains 80% of its value each year). The company used an exponential function to predict the value of a car, v, as a function of time, t, in years.

The rate of interest r in percentage = 100 - 20 = 80%

If the value of a brand new car is  P =$32,000.00.

The value of car will be

value =  P x r^t

v = $32,000 x(0.8)^t

Thus, this is the expression insurance company uses to find the value of car.

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The conversion of 2 liters into millimeters from the information regarding the muffins is 2000ml.

From the information, we are told to convert 2 litres into ml. This will be:

= 1000 × 2

= 2000ml

The number of eggs that will be bought to make 500 muffins will be:

= 500 × 2

= 1000 eggs.

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Using it's concept, it is found that there is a 0.8 = 80% probability that the learner is a senior or a male.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there is a total of 6 + 4 + 5 = 15 students. Of those, there are 6 seniors, and 6 male non-seniors, hence there are 12 desired outcomes, and the probability is given by:

p = 12/15 = 0.8 = 80%.

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Answer:

578.2

Step-by-step explanation:

tan(56) = 1.48256096

1.48256096 * 390

578.1987744

CB=578.2m

Answer:

36

Step-by-step explanation:

possibility of slices of pie is 12/24, = 1/2

78 desserts, how much i expect is slices of pie

78*(1/2) = 36

We should expect about 39 of the next 78 desserts sold to be slices of pie.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Out of 24 desserts sold, 12 were slices of pie.

Therefore, the proportion of slices of pie sold is 12/24 = 1/2.

To estimate the number of slices of pie in the next 78 desserts sold, we can multiply the proportion of slices of the pie by the total number of desserts sold:

(1/2) x 78 = 39

Therefore,

We should expect about 39 of the next 78 desserts sold to be slices of pie.

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Answer:

huhh

Step-by-step explanation:

Answer:

yeah

Step-by-step explanation:

so do 22.5 times 27 and then divide with 43

Answer:

120m²

Step-by-step explanation:

Area¹ = (6*5) = 30*2 surfaces = 60m²

Area² =(6*6) = 36m²

Area of Triangle =(1/2*4*6) = 12* 2 surfaces = 24m²

Total surface area = 60 + 36 + 24 = 120m²

=/120m²

The statement that completes the definition is (d) down payment

From the question, we have the following highlights:

When a part payment is made to procure an item, the part payment is referred to as a down payment

The down payment fits the highlights (1) and (2) stated above

Hence, the statement that completes the definition is (d) down payment

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Answer:

23.1 hours

Step-by-step explanation:

the mean is calculated as

mean = ∑ fx ÷ ∑ f

where x is the midpoint of the time intervals

0 < h ≤ 10 ⇒ x = 5

10 < h ≤ 20 ⇒ x = 15

20 < h ≤ 30 ⇒ x = 25

30 < h ≤ 40 ⇒ x = 35

then

∑ fx = (5 × 5) + (15 × 15) + (50 × 25) + (10 × 35)

       = 25 + 225 + 1250 + 350

       = 1850

∑ f = 5 + 15 + 50 + 10 = 80

then

mean = 1850 ÷ 80 ≈ 23.1 hours (to 1 dp )

Answer:

Step-by-step explanation:

Answer: 5.5 cm

Step-by-step explanation:

did it

Answer:

65 R 1

Step-by-step explanation:

MMCMLVII in Hindu-Arabic is 2957

The Hindu-Arabic system uses the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 to count.

Analysis:

MM = 2000

+

CM = 900

+

L = 50

+

VII = 7

MMCMLVII = 2957

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Answer:

x ≤ -9

Step-by-step explanation:

[tex]x+5 < /=-4[/tex]

[tex]x+5-5 < /=-4-5[/tex]

[tex]x < /=-4-5[/tex]

[tex]x < /=-9[/tex]

Answer:

[tex]\frac{2B}{1m} =h[/tex]

Step-by-step explanation:

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

Multiply both sides by 2.

[tex]2B = 1hm[/tex]

To make h as the subject divide both sides by 1m.

[tex]\frac{2B}{1m} =\frac{1hm}{1m}[/tex]

Therefore,

[tex]\frac{2B}{1m} =h[/tex]

Answer:

24/5

Step-by-step explanation:

x is 4.8, improper simplified is 24/5

The appropriate journal entries related to the investment during 2021 is: Debit Investment in Carne shares $78 million; Credit Cash $78 million.

January 2, 2021

Debit Investment in Carne shares $78 million

Credit Cash $78 million

January 12, 2021

Debit Cash $12,000,000

($2 per shares  x 6,000,000)

Credit Investment in Carne shares  $12,000,000

December 21, 2021

Debit  Investment in Carne shares $7,000,000

Credit Investment revenue $7,000,000

(25% x $28,000,000)

December 31, 2021

Debit Investment revenue $1,000,000

Credit Investment in Carne shares $1,000,000

[25% x ($48,000,000 ÷ 12 years)]

December 31, 2021

No journal entry for changes in fair value when using equity method.

Therefore the appropriate journal entries related to the investment during 2021 is: Debit Investment in Carne shares $78 million; Credit Cash $78 million.

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