Find the length of the missing side. Leave your answer in simplest radical form. A. 296 ft B. 2[tex]\sqrt{74}[/tex] ft C. [tex]\sqrt{206}[/tex] ft D. [tex]\sqrt{26}[/tex] ft

Find The Length Of The Missing Side. Leave Your Answer In Simplest Radical Form. A. 296 Ft B. 2[tex]\sqrt{74}[/tex]

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Since this is a right triangle and we are given the two legs, we can use the Pythagorean Theorem.

The Pythagorean Theorem is:

[tex]c^2=a^2+b^2[/tex]

Where c is the hypotenuse (longest side) and a and b are the two legs.

Plug in 10 and 14 for a and b (it doesn't matter which one) and solve for c.

[tex]c^2=10^+14^2\\c^2=100+196\\c^2=296\\c=\sqrt{296}=\sqrt{4\cdot 74}=\sqrt4\cdot\sqrt{74}=2\sqrt{74}[/tex]


Related Questions

a 6 meter pole is supported by guy wires that are anchord to the ground as shown. what is sin d?

Answers

Answer:

6/6.71

Step-by-step explanation:

If you are given a 6-meter pole that is supported by guy wires that are anchored to the ground, you can create a relationship with respect to sin theta. sin theta is equal to the 6 meters over the slant line supported by the pole. as shown.  

Question
0
Which angle between 90 and 270 has the same sine value as 60°?


Which angle between –180° and 0 has the same cosine value as 290°?


degrees

Answers

Answer:

(i) 120°

Step-by-step explanation:

(i)

sine 90 = 1

sine 120 = 0.87 (rounded up to two decimal places)

sine 150 = 0.5

sine 180 = 0

sine 210 = -0.5

sine 240 =  -0.87 (rounded up to two decimal places)

sine 270 = -1

sine 60 =  0.87 (rounded up to two decimal places)

So the angle x such that 90° < x < 270° that has the same sine value as 60° is 120°

acute angle between the hours hand and the minute hand at 1pm​

Answers

Answer: 30 degrees

Step-by-step explanation:

1 hour = 60 min = 360 degree

1 min = 360/60 degree

1 min = 6 degree

and the gap of hour hand and minute hand at 1pm, is of 5 min

therefore acute angle formed is 5 X 6 = 30 degrees.

:-)

Answer:

30 degrees

Step-by-step explanation:

1 hour = 60 min = 360 degree

1 min = 360/60 degree

1 min = 6 degree

and the gap of hour hand and minute hand at 1pm, is of 5 min

therefore acute angle formed is 5 X 6 = 30 degrees.

Which theorem or postulate proves the two triangles are similar?

AA Postulate
SSS Theorem
AS Postulate
SAS Theorem

Answers

Answer:

AA Postulate

Step-by-step explanation:

The bottom lines are parallel. In this case they are also congruent. Combined with the top angle this makes in AA postulate

how many five card hands that contain all 4 aces can be dealt from a standard pack of 52 cards

Answers

Answer:

48

Step-by-step explanation:

52-4=48

hope this helps

Hey there please help me with this question

Answers

Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio, 2 + 1 = 3 parts , thus

81 cm² ÷ 3 = 27 cm² ← value of 1 part of the ratio

2 parts = 2 × 27 = 54 cm²

Area of A = 54 cm² and area of B = 27 cm²

The side of the original square = [tex]\sqrt{81}[/tex] = 9 cm

The width of both rectangles is 9 cm ( width remains unchanged after cut )

Thus

Rectangle A

9 × length = 54 ( divide both sides by 9 )

length = 6 cm

Rectangle B

9 × length = 27 ( divide both sides by 9 )

length = 3 cm

Rectangle A → length = 6 cm, width = 9 cm

Rectangle B → length = 3 cm , width = 9 cm

Answer:

Rectangle A                 Rectangle B

length = 9 cm                length = 9 cm

width = 6 cm                  width = 3 cm

Step-by-step explanation:

Area of square At = 81 cm²

Square is cut into two pieces = A + B

The ration of area A to B = 2:1

Find

Rect A        Rect B

length         length

width           width

---------------------------------

first, get the side of the square = A = s²

81 = s²,      

s = √81      

s = 9 cm

since the ratio is 2:1, therefore the side can be divided into 3

9 ÷ 3 = 3 cm ----- take note of this to get the Width

Rectangle A

L = 9 cm (which is the s = 9 cm)

W = 3 cm (2 ratio) = 6 cm

Rectangle B

L = 9 cm  (which is the s = 9 cm)

W = 3 cm (1 ratio) = 3 cm

Proof:

At = A + B

81 = (9x6) + (9x3)

81 = 54 + 27

81 = 81  ----- OK

jack has 13 lengths of rope. Each is 6 3/4 meters long. How much rope does Jack have to divide amond 20 people

Answers

Hey there! I'm happy to help!

First we multiply the the length of each length of rope by the number of lengths of rope (try saying that five times fast).

6 3/4×13=87 3/4

Now, we divide this by 20 to see how much rope each person gets.

87 3/4÷20= 4 31/80

Therefore, each person has 4 31/80 or 4.3875 meters of rope.

I hope that this helps! Have a wonderful day! :D

math now..!! Help..?

Answers

Answer:

2p + 12

2 (p = +6) + 12 = 20

Answer:

I think its 6

Step-by-step explanation:

because you have to add 9 and 3 together then you get 12 and you have to divide 2p with 12 and you'll get 6

Solve for 'x' in both of the following problems. Show all your work/explanations on your own paper and then submit a picture of your work and answers in the dropbox below.

Answers

Answer/Step-by-step explanation:

1. <B is an inscribed angle in a circle which intercepts arc AC.

Therefore, m<B = ½ of m<AC

B = ½ * 128° = 64°

x = 180 - (64 + 43)

x = 180 - 107 = 73°

2. The circle given shows two chords intersecting at point H.

According to intersecting chords theorem, the products of the segments formed by one chord equals the product of the segments formed by the other.

Therefore,

[tex] 10*x = 14*5 [/tex]

Solve for x

[tex] 10x = 70 [/tex]

Divide both sides by 10

[tex] x = 7 [/tex]

Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches.

Answers

Answer:

[tex]y = \frac{-3}{4}x + 36[/tex]

Step-by-step explanation:

Data provided in the question

Height = 36 inches

Stant of the stairs followed that declines 9 inches for every 12 horizontal inches

Height = x

x =  from top of the stairs

based on the above information

Therefore the change in rate is

[tex]\frac{-9}{12} = \frac{-3}{4}[/tex]

It depicts the line sloping.

Now the function would be determined by the line equation which is as follows

y = mx+c

[tex]m = \frac{-3}{4}[/tex]

where,

c = 36 inches

So, the function is

[tex]y = \frac{-3}{4}x + 36[/tex]

Answer:

Answer is A

Step-by-step explanation:

Which is true about the polynomial y2 – 3y + 12? It is a binomial with a degree of 2. It is a binomial with a degree of 3. It is a trinomial with a degree of 2. It is a trinomial with a degree of 3.

Answers

Answer:

Trinomial  of degree 2

Step-by-step explanation:

The given expression cannot be reduce any further as far as number of terms (there are no like terms in it), so it is a trinomial.

Also, the largest power for the variable  init (y) is the power 2, therefore it is a trinomial of degree 2.

This event is independent, true or false?



You roll a fair six-sided die twice. The first roll show a three and the second roll shows a four.

True
False

Answers

Answer:

This event is independent this statement is true because we cannot control the motion of a dice.

Step-by-step explanation:

Hope it will help you :)

Answer:I'm pretty sure it's independent

PLEASE HELP ME FAST...
I will mark you a BRAINLEST​

Answers

Answer: Hi!

Row A: 7, 11, 15, 19, 23

Row B: 51, 42, 33, 24, 15

Row C: 4, 8, 16, 32, 64

Row D: 64, 32, 16, 8, 4

(If you notice, Row C and Row D are just swapped in order!)

Hope this helps!

Hi there! Hopefully this helps!

--------------------------------------------------------------------------------------------------------------

A's rule, add 4: 7, 11, 15, 19, 23

B's rule, Subtract 9: 51, 42, 33, 24, 15

C's rule, Multiply by 2: 4, 8, 16, 32, 64

D's rule, Divide by 2: 64, 32, 16, 8, 4

If L is the line having x -intercept of -1 and y -intercept of 3, complete the equation of L . y = -x + 3 y = -3x + 3 y = 3x + 3

Answers

Answer:

y = 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← x and y- intercepts

m = [tex]\frac{3-0}{0+1}[/tex] = [tex]\frac{3}{1}[/tex] = 3

The line crosses the y- axis at (0, 3) ⇒ c = 3

y = 3x + 3 ← equation of line

Pluto is 2.7 times 10 to the power of 9 miles from the sun. Venus is 6.7 times 10 to the power of 7 miles from the sun. How mnay times greater is the distance of pluto to the sun than venus

Answers

Answer:here for the comments

Step-by-step explanation:

Answer:

The answer is 40.3 times greater

Step-by-step explanation:

A classroom floor has an area of
(30x^3 + 8x^2, with a width of 2x feet.
What is the length of the floor?

Answers

Answer:

15x² + 4x feet

Step-by-step explanation:

We need to calculate (30x³ + 8x²) / 2x.

(30x³ + 8x²) / 2x

= 30x³ / 2x + 8x² / 2x

= 15x² + 4x

Solve: 3a^2-4b a= -6 b= -5 If you could also leave an explanation that would be great! Thank you for your time!

Answers

Answer:

128

Step-by-step explanation:

3a² - 4b

plug in values

3(-6)² - 4(-5)

use PEMDAS and simplify (-6)² first

3(36) -4(-5)

multiply

108 + 20

add

128

hope this helps :)

Tony owns a shop that sells mobile phones and laptops. The retail price of a mobile phone is $240, and it will include a sales tax of 15% on the retail price. If the shop owner offers a discount of $46 off the final price including the sales tax, what is the percent decrease for the price of the mobile phone? A 20% B 15% C 19.17% D 16.67%

Answers

Answer:

Percent decrease in mobile = 19.17 % (Approx)

Step-by-step explanation:

Given:

Retail price of mobile phone = $240

Sales tax = 15% on retail value

Total discount including sales tax = $46

Find:

Percent decrease in mobile

Computation:

Cost of mobile = $240(85/100)

Cost of mobile = $204

Percent decrease in mobile = [$46 - 15%]204

Percent decrease in mobile = 19.17 % (Approx)

is 5.676677666777 a rational number​

Answers

Answer:Yes, because all integers have decimals. No, because integers do not have decimals. No, because integers cannot be negative. Jeremy says that 5.676677666777... is a rational number because it is a decimal that goes on forever with a pattern.

Step-by-step explanation:

Find the inverse. (SHOW WORK)

Answers

Let f(x) = y

y = log3(x+1) - 1

Plug x in y and y in x

x = log3(y+1) - 1

x + 1 = log3(y+1)

3^(x+1) - 1 = y

[tex]y = 3^{x+1}[/tex] - 1

This is the inverse function.

Hope it helps! xxxx

Answer:

y = [tex]3^{(x+1)}[/tex] -1

Step-by-step explanation:

x = [tex]log_{3}[/tex](y + 1) - 1

x + 1 = log₃(y + 1)

[tex]3^{(x+1)}[/tex] = y + 1

[tex]3^{(x+1)}[/tex] -1 = y

Anyone want to help...?

Answers

Answer:

-1

Step-by-step explanation:

3/2 * (-22/33)

Simplify by dividing the second fraction by 11

3/2 * (-2/3)

Rewriting

3/3 * (-2/2)

-1/1

Answer:

-1

Step-by-step explanation:

(a/b)(c/d) = (a*c)(

(3/2)(-22/33)

(3*-22)/(2*33) = -66/66 = -1

What is remainder when f(x) is divided by (x-a) ​

Answers

By the polynomial remainder theorem the remainder is equal to [tex]f(a)[/tex]

What is the perimeter of this polygon?
A(2, 3)
B(-4, 0)
C(0,-4)
D(4,0)​

Answers

Answer:2,3 hope it help you

Step-by-step explanation:

Answer:

21.627

Step-by-step explanation:

get the distance between all points then add

I need help answering this

Answers

Answer:

100 degrees

Step-by-step explanation:

Make up an expression of your own that satisfies the following:
Must have at least: 4 terms, 1 constant, 2 variables with coefficients and appropriate
operation signs.

Answers

There are infinitely many ways to answer this as there is no one single answer to pick from.

Here is one possible answer:   x^3 + 5x^2 + 7x + 12

The four terms are x^3, 5x^2, 7x and 12. They are separated by the plus signs.

The constant is 12. It does not have any variable attached to it.

Terms 5x^2 and 7x have coefficients of 5 and 7 respectively.

The leading term x^3 has a coefficient of 1, but 1*x^3 = x^3, meaning it's convention to leave the 1 out. So technically x^3 does not have a coefficient directly written/shown. Instead, its more implied.

If the amount of VAT paid for an item at 13% was Rs 390, at what price was the item sold?​

Answers

Answer:

Step-by-step explanation:

Let the price of the item = Rs x

13% of x = 390

[tex]\frac{13}{100}*x=390\\\\\\x = 390*\frac{100}{13}\\\\\\[/tex]

x = Rs. 3000

Find the missing length.

Answers

Answer:

  D.  25

Step-by-step explanation:

The left end of the baseline has measure (x-16). In this geometry all of the right triangles are similar, so the short-to-long side ratios are proportional:

  (x -16)/12 = 12/16

  x -16 = 9 . . . . . . . multiply by 12

  x = 25 . . . . . . . . . add 16

The unknown length x is 25.

Answer:

25

Step-by-step explanation:

If you invest $600 at 5% interest compounded cptinuously, how much would you make after 6 years?

Answers

Answer:

180

Step-by-step explanation:

1) 600 % 100 = 6 (to get 1% of 600)

2) 6 x 5 = 30 (to get 5% pf 600)

3) 30 x 6 =180 (to get the amount of profit per the 6 years)

please give brainliest if this helps

I NEED HELP ASAP FOR THIS MATH QUESTION

Answers

Answer:

The answer is C.

Step-by-step explanation:

First, you want to isolate the variable you are look for, 'l'. First subtract [pi]L from both sides. Then subtract S from both sides.

-[pi]L+S=[pi]r(superscript)2 ->

-[pi]L=[pi]r(superscript)2-S

Now, since you have your variable 'l', you want to remove the [pi] away from your variable. To do this, multiply by negative 1 divided by pi, or -1/[pi].

L=S-r(superscript)2.

Therefore, the answer is C.

Answer:

C

Step-by-step explanation:

[tex]s = \pi .l \: + \pi. {r}^{2} [/tex]

Make the term including 'l' stand alone.

[tex]s - \pi. {r }^{2} = \pi.l[/tex]

Now make L stand alone by dividing through by pi.

[tex] \frac{s - \pi. {r}^{2} }{\pi} = l[/tex]

This is the same as

[tex] \frac{s}{\pi} - {r}^{2} = l[/tex]

11 Points Estimate the average by first rounding to the nearest 1,000: 1,000 2,300 2,600

Answers

Answer:

Average = 2000

Step-by-step explanation:

Given numbers are:

1,000 2,300 2,600

To find:

First round off the numbers to nearest 1000 and then find Average.

Solution:

1000 is already in thousands so no need to round off.

To round off a number to nearest thousand, we need check the digit on hundred's place.

If the hundred's digit is greater than 5, we increase the thousand's digit by 1 and make the hundred's digit as 0.If the hundred's digit is lesser than 5, the thousand's digit remains the same and we make the hundred's digit as 0.

So, 2300 will be rounded off as 2000.

and 2600 will be rounded off as 3000.

Now, the numbers whose average is to be calculated are 1000, 2000, 3000.

Formula for average is given as:

[tex]Average = \dfrac{\text{Sum of all numbers}}{\text{Count of numbers}}[/tex]

applying the formula:

[tex]Average = \dfrac{1000+2000+3000}{3}\\\Rightarrow Average = \dfrac{6000}{3}\\\Rightarrow \bold{Average = 2000}[/tex]

So, the average after rounding off to nearest 1000 is 2000.

Other Questions
b) How does electron gain enthalpy change along a period and in a group? On a distant planet, a ball is thrown upwards from ground level, reaching a maximum height of 12m and hitting the ground again in eight seconds. Determine a quadratic equation in the form ax^2 + bx^2+c = 0 that could be used to calculate when the ball is at a height of 3m. Do not solve the equation. solve the equation: csc(4x)-2=0 MATHEMATICSAlgebraSimultaneous Equations1. 5u + 2v=7 2u - 2v=72. 3x - 4y=19 4x - 5y=23 draft a poster highlighting the importance of staying inside our houses during the lockdown Gisele has $5.90 in quarters and nickels. If Gisele has 16 more nickels than quarters, how many quarters does she have? [I don't want the answer I just want to know how to set the problem up please] Assume Division 1 of the XYZ Company had the following results last year. Sales $5,000,000 Operating income 1,000,000 Total assets (average) 10,000,000 Current liabilities 500,000 Management's required rate of return is 8% and the weighted average cost of capital is 6%. Its effective tax rate is 30%. What is the division's economic value added? Inventory Analysis A company reports the following: Cost of goods sold $347,480 Average inventory 86,870 Determine (a) the inventory turnover and (b) the number of days' sales in inventory. Round interim calculations to the nearest dollar and final answers to one decimal place. Assume 365 days a year. There are three key reasons for putting the customer into customer solutions in selling: (1) considerable time and effort is necessary to fully understand a specific customer's requirements; (2) effective customer solutions are based on relationships among sellers and buyers; and (3) HELP DOES ANYONE KNOW THIS Why does Travis kill eckels? Explain your answer Which type style raps the text within the area that has been selected for it?A.point styleB.long linear styleC.line style D.paragraph style 1.Define Chalcolithic Age. When we say the media have the power of agenda setting or filtering, we mean that Group of answer choices the media shape which topics the government must deal with. the media can affect how people view a topic or form opinions on a topic. the media are responsible for making sure that government officials do not give in to corruption. the media should not take sides on issues if they can at all help it. Do you think it would be wrong for Luke to share information about coming releases with friends and family? Why or why not? Statistics professors believe the average number of headaches per semester for all students is more than 18. From a random sample of 15 students, the professors find the mean number of headaches is 19 and the standard deviation is 1.7. Assume the population distribution of number of headaches is normal. Whats the food chain for algae,seal lion,zooplankton,squid and salmon ocean in ionnic bonding, during the transfer of electrons between two neutrally charged atoms, one electron moves from one atom to another. What are the new relative charges between two atoms Variation in rates of cell division is regulated by a cell-cycle control systema group of molecules, mostly proteins, within a cell that coordinates the events of the cell cycle. This control system functions through a system of checkpoints. Which assessment occurs at the G2/M checkpoint? One identical unit is purchased on each of the following three dates and at the respective costs: June 1 at $10 June 2 at $15 July 4 at $20 The company sells two units during the period. Conclude which inventory items are sold first and which unit remains in ending inventory if the company is using the FIFO cost flow assumption.A. The June 1 at 10 is sold; the June 2 at $15 and July 4 at $20 remain in ending inventory.B. The June 1 at 10 and the June 2 at $15 are both sold; the July 4 unit remains in ending inventory.C. The June 2 at $15 and the July 4 at $20 are both sold; the June 1 at $10 remains in ending inventory.