what is the value of x?​

Answer:

[tex]sum = \frac{a( {r}^{n - 1} )}{r - 1} \\ : but \: l = a( {r}^{n - 1} ) \\ 49152 = 3( {2}^{n - 1} ) \\ 16384 = {2}^{n - 1} \\ {2}^{n} = 32768 \\ {2}^{n} = {2}^{15} \\ n = 15 \\ \therefore \: sum = \frac{3(2 {}^{15 - 1}) }{15 - 1} \\ = \frac{49152}{14} \\ = 3510.9[/tex]

Answer: [tex]5.13\ \text{units}[/tex]

Step-by-step explanation:

Given

In a circle, [tex]\angle PQR=42^{\circ}[/tex]

[tex]PQ=7\ \text{units}[/tex]

Arc length is given by

[tex]\Rightarrow l=\dfrac{\theta}{360^{\circ}}\cdot 2\pi r[/tex]

Insert the values

[tex]\Rightarrow l=\dfrac{42^{\circ}}{360^{\circ}}\cdot 2\times \dfrac{22}{7} \times 7\\\\\Rightarrow l=5.13\ \text{units}[/tex]

The length of the arc PR is [tex]5.13\ \text{units}[/tex]

Answer:

O is greater than every

integer

Answer:

one tool you can use would be tape measure

Answer:

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{5}{13}[/tex]

tanB = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{12}{5}[/tex]

sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex]

Answer:

9 is the answer

Step-by-step explanation:

3- 6(2) = 9

Answer:

9

Step-by-step explanation:

Answer:

The maximum capacity of a container which can measure the petrol of either tanker in exact number of times is 5 litres

Step-by-step explanation:

Given

[tex]L_1 = 35L[/tex]

[tex]L_2 = 50L[/tex]

To calculate the required maximum capacity, we simply calculate the HCF of both capacities.

We have:

[tex]L_1 = 35L[/tex]

[tex]L_2 = 50L[/tex]

Factorize both:

[tex]L_1 = 5 * 7[/tex]

[tex]L_2 = 2 * 5 * 5[/tex]

The HCF is:

[tex]HCF = 5[/tex]

Answer:

Angles are rays with a shared endpoint.

Lines extend forever in either direction.

Rays AB and AC extend forever in either direction.

Step-by-step explanation:

Answer:

An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.

Step-by-step explanation:

Answer:

452.4 mi^2

Step-by-step explanation:

area of circle=πr^2

=22/7*(12)^2

=3.142*144

=452.448

=452.4 mi^2

Answer:

C)    452.4 mi²

Step-by-step explanation:

a = πr²

a = π * 12²

a = π * 144

a = 452.3893421169

a = 452.4

Answer:

-10

Step-by-step explanation:

2x+6 =x-4

x+6=-4

x=-10

Answer:

-10

Step-by-step explanation:

2 ( x + 3) = x - 4

2x + 6 = x - 4

collect terms

2x -x = -4 -6

x = -10

Hope this helps!

Answer:

See below for answers

Step-by-step explanation:

Problem 7: [tex]\sqrt{125}=\sqrt{25*5}=\sqrt{25}\sqrt{5}=5\sqrt{5}[/tex]

Problem 8: [tex]\sqrt{200}=\sqrt{100*2}=\sqrt{100}\sqrt{2}=10\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

Polynomials are factored after they are set equal to 0. This i because the factors of the polynomial are also known as the x-intercepts, and x-intercepts exist where y = 0. Therefore, if the factors of the polynomial are

(x + 8)(x + 4) = 0, then by the Zero Product Property,

x + 8 = 0 so x = -8 or

x + 4 = 0 so x = -4. Choice A.

Answer:

B. cos 41° = [tex]\frac{x}{19}[/tex]

Step-by-step explanation:

cos of an angle is the adjacent side of the angle over the hypotenuse.

Answer:

Answer is a

[tex]{ \boxed{ \bf{ \cos( \theta) = \frac{adjacent}{hypotenuse} }}} \\ { \tt{ \cos(41 \degree) = \frac{x}{19} }} \\ \\ { \boxed{ \bf{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\ { \tt{ \sin(41 \degree) = \frac{ - }{19} }}[/tex]

Answer:

80.01>11.69n

Explanation:

100-19.99=80.01

she has 80.01 dollars to spend on shirts. The shirts are 11.69 with n being the number of shirts. we have to take off 19.99 because she bought the pants so the total has to be less then 80.

Answer:

The student added 5+25 before, thus not following the order of PEMDAS. The student should've divided 5/ 25 before adding.

Step-by-step explanation:

Answer:

please write in the comments ,the total minutes she spent in the gym , then only we can solve the answer , without total minutes we cannot solve this question

Answer:

13 minutes lifting weights.

Step-by-step explanation:

Diana spent a total of 25 minutes and spent 12 more minutes running than she did lifting weights. So if you subtract 25 from 12 you get 13.

Answer:

1048.05 square feet.

Step-by-step explanation:

The area of the deck is 50.4 x 22 = 1108.8 square ft.

The area of 1 cut out is 4.5 x 4.5 = 20.25

There are 3 cut outs so total area of the cut outs is 20.25 x 3 = 60.75 square ft.

The total area of the boards is : 1108.8 - 60.75 = 1048.05 square feet.

Answer:

Perpendicular

Step-by-step explanation:

By definition, the base and height of a figure must always intersect at a [tex]90^{\circ}[/tex] angle. Therefore, they are always perpendicular.

Answer:

the length of each side of the square QRST is 9 units.

Step-by-step explanation:

By using distance formula we find the distance between the two vertices Q and R therefore giving us the length of one side, 9 units. Since it is a square all the sides are equal in length, so each side of the square QRST is 9 units.

Hope this helps uwu

Answer:

it has a slope of 1/3 and a point on the graph is (2,-3)

Step-by-step explanation:

Answer:

18. d

19. c (not sure)

20. c

Answer:

18) d. Synopsis

19) c. Duration

20) c. Pacify

Step-by-step explanation:

18) When you don’t wanna give the full version of a story sum it up; give a summary or synopsis!

19) Uh tbh it just makes the most sense in context of the sentence, read it all together and you’ll see ;)

20) In the sentence it says “calm down” only way to calm someone down is to pacify them or give them what they want… in this context she needs to pacify them. Plus it just makes sense.

Hope this helps, good luck have a good day!

Answer:

B

Step-by-step explanation:

expand the brackets

2x² - x + 10x -5 = 3x + 15

combine like terms

2x² + 9x  - 5 = 3x + 15

2x² + 6x - 20 = 0

divide through by 2

x² + 3x - 10 = 0

factorise

determine factors of -10x² that would add up to 3x

they are 5x - 2x

(x² -2x) (5x - 10)

x(x - 2) +5(x-2)

x + 5 = 0

x = -5

x - 2 = 0

x = 2

Answer:

hey,

18+5=23

so AD=23

this is the correct answer :)

please mark as brainliest

Step-by-step explanation:

Mass = Density × Volume or m=pV

Density = 6

Volume = 13

6 × 13 = 78

The mass of the iron ball is 78.

===================================================

Work Shown:

d = density = 6 grams per cm^3

m = mass = unknown

v = volume = 13 cm^3

--------

d = m/v

dv = m

m = dv

m = 6*13

m = 78 grams

Answer:

below

Step-by-step explanation:

that is the procedure above

The balance in the account after 2 years is $619.35.

The compound interest for an amount depends on both Principal and interest gained over periods.

Dlan invested $600 in a savings account at a 1.6% annual interest rate.

He made no deposits or withdrawls on the account for 2 years.

The balance in the account after 2 years is given by;

[tex]\rm Amount =Principal(1+rate)^{time}[/tex]

Substitute all the values in the formula

[tex]\rm Amount =Principal(1+rate)^{time}\\\\\rm Amount =600(1+0.016)^2\\\\ Amount =600(1.016)^2\\\\ Amount = 600 \times 1.03\\\\Amount =619.35[/tex]

Hence, the balance in the account after 2 years is $619.35.

Learn more about compound interest here;

https://brainly.com/question/14295570

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The measure of ∠NPO is equivalent to 24°.

Given is that if the angle PON is equal to 132 degrees and the segment NP is bisector of the angle P and N.

Now -

OP = ON

So, this means that ∠OPN = ∠ONP = x° {say}

We can write -

∠OPN + ∠ONP + 132° = 180°

2x = 48°

x = 24°

Therefore, the measure of ∠NPO is equivalent to 24°.

To solve more questions on angles, visit the link below -

https://brainly.com/question/18166236

#SPJ2

{

Question in English is as follows -

Determine the angle NPO, if the angle PON is equal to 132 degrees and the segment NP is bisector of the angle P and N.

Here's a hint, the correct answer is: 24 degrees.

}

Answer:

[tex]x = 15 \: \: .....(5(15)- 14) = 61[/tex]

[tex](9x + 16 )= (5x - 14) + 90 \\ 9x - 5x = 90 - 14 - 16 \\ 4x = 60 \\ x = \frac{60}{4} \\ x = 15[/tex]