Find the indicated side of the triangle

Find The Indicated Side Of The Triangle

Answers

Answer 1

Answer:

7√2

Step-by-step explanation:

Knowing that the angle is 45° (or π/4 radians) and the opposite leg has a length of 7,  you can find the length of b with:

7 / b = sin(π / 4)

7 / (sin(π / 4)) = b

b = 7 / (1 / √2)

b =7√2

A simpler way to get the answer is to note that a right triangle with one 45° angle must be an isoceles right triangle, so both legs are the same length. Using the Pythagorean Theorem:

a² + 7² = b²

Since we know a = 7,

7² + 7² = b²

b = √(2 * 49)

b = 7√2


Related Questions

2.1.3
Some questions allow you to choose several correct answers from a list of possible answers.
Click the square near each correct choice to fill it in. Be sure to mark all correct answers.
Which of the following mathematical statements are true? Select all that apply.
A. 1.2 = 2
B. 1.1=1
C. 1+2 = 2
DD. 2-2=1
E. 1+1=2

Answers

Answer:

a and e jfdjjxjccjddjdjdjdjdjjdjdidie

Calculate the time period of a pendulum if it
completes 46 oscillations in 20 seconds.​

Answers

Answer:

0.44 seconds

Step-by-step explanation:

Time period is the time duration for completing one oscillation:

T = 20/46 ≈ 0.44 seconds

Answer is 0.44 seconds

Step-by-step explanation:

The Time period of pendulum (T) is

T=46/20

T=2.3s

In a football game, Jim's team gained 7 yards on the first play, lost 2 yards on the second play, and lost 10 yards on the third play. How many total yards did Jim's team gain or lose after three plays?

Answers

Answer:

team loss after three games is 5.

Step-by-step explanation:

we will use positive sign for gain and negative sign for loss.

Given

Jim's team gained 7 yards on the first play

gain of yards = +7

lost 2 yards on the second play

loss of yards = -2

lost 10 yards on the third play

loss of yards = -10

Total yards gain or lost by Jim's team = +7 + (- 2) + ( - 10)

Total yards gain or lost by Jim's team = +7 -2 -10 = -5

sine sign is negative, it means there is loss and the net loss is 7 yards.

Thus, team loss after three games is 5.

Use dimensional analysis to convert the measurements. A dwarf sea horse swims at a rate of 49.68 feet per hour. Convert this speed to inches per minute. The speed is inches per minute.

Answers

Answer:

9.936in/min

Step-by-step explanation:

Given the rate at which a dwarf sea horse swims expressed as 49.68 feet per hour, to convert the speed to inches per minutes, the following conversion factors must be used.

1 foot = 12inches and 1 hour = 60 minutes

49.68 feet per hour can also be written as [tex]\dfrac{49.68* 1 ft}{1 hour}[/tex]

On conversion:

[tex]= \dfrac{49.68* 1 ft}{1 hour} * \dfrac{1 hour * 12 in}{1 ft * 60min} \\\\= \dfrac{49.68* 12in}{60 min} \\\\= \dfrac{596.16in}{60 min}\\\\= 9.936 in/min[/tex]

Hence the speed expressed in inches per minute is 9.936in/min

-21+7u=28 solve for u

Answers

Answer:

u = 7

Step-by-step explanation:

-21 + 7u = 28

add 28 to both sides

7u = 49

divide by 7

u = 7

Answer:U=7

Step-by-step explanation:

The function h(x)= 12x^8+49 is an even function. Which transformation of h(x) would result in a function that is neither even nor odd?

Answers

Answer:

A translation (9 units) to the left will result in a function that is neither even nor odd

Step-by-step explanation:

With horizontal translation to the left, we have;

h(x) = 12(x - 9)⁸ + 49

Which gives;

h(x) = 12(x - 9)⁸ + 49 = 12(x⁸ - 72x⁷ + 2268x⁶ - 40824x⁵ + 459270x⁴ -3306744x³ + 14880348x² - 38263752x + 43046721) + 49

For x = 1, we get;

h(x) = 201326641

When we replace x by -x, we get;

h(x) = 12(-x - 9)⁸ + 49 = 12(x⁸ + 72x⁷ + 2268x⁶ + 40824x⁵ + 459270x⁴ + 3306744x³ + 14880348x² + 38263752x + 43046721) + 49

For x = 1, we get;

h(x) = 1200000049

Therefore a translation 9 units to the left will result in a function that is neither even nor odd.

23=9-4x I don’t understand this equation

Answers

Answer:

= -7/2

Step-by-step explanation:

What the equation is saying is that 9 - 4x = 23.

x means some number we don't know, but the value of x should be able to satisfy 9 - 4x = 23

In order to find what x may be we must separate it so it is by itself.

First we subtract 9 from both sides,

9 - 9 - 4x = 23 - 9

-4x = 14

Now we divide both sides by -4 to get x,

-4x/-4 = 14/-4

x = -14/4 = -7/2

Answer:

x= -3.5 or x=-7/2

Step-by-step explanation:

We are given the equation:

23 = 9 - 4x

We want to solve for the variable, x. Therefore, we must isolate x on one side of the equation.

First, let's rearrange the equation.

23 = 9 -4x

23= -4x +9

9 is being added to -4x. The inverse of addition is subtraction. Subtract 9 from both sides of the equation.

23-9= -4x +9-9

23-9= -4x

14 = -4x

-4 and x are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by -4.

14/-4= -4x/-4

14/-4= x

-7/2=x

-3.5=x

Let's check our solution. Plug -3.5 in for x and solve.

23=9-4x    (x=-3.5)

23= 9-4(-3.5)

23= 9- -14

23= 9+14

The statement above is true, so we know our solution is correct.

The solution to the equation is x= -3.5 or x= -7/2

3.26d+9.75d−2.65 help plzzzzzzz

Answers

Answer: Add  3.26 d  and  9.75 d . 13.01 d − 2.65

Step-by-step explanation:

Answer:

13.01d-2.65

Step-by-step explanation:

Since you have to simplify it you have to get rid of them so just add 3.26d+9.75 and you get 13.01d and the  minus 2.65

Whats the common difference? ​

Answers

Answer:  The common difference is  8

Step-by-step explanation:

First Use the formula for the second to generate the first two numbers.

[tex]u_{n}[/tex] = 2^3n-2  

Put in 1 for the first term and you will get 2 and the second term is 16 and to get from 2 to 16 you will multiply by 8.

What is the sum of the two largest numbers in the list $$\frac 13,~\frac 27,~\frac 3{10},~\frac 4{13},~\frac 5{17}~?$$ Express your answer in simplest form.

Answers

Answer:

[tex] \frac{25}{39} [/tex]

Step-by-step explanation:

[tex]\frac 13,~\frac 27,~\frac 3{10},~\frac 4{13},~\frac 5{17}~?[/tex]

Convert them to fractions with their L.C.D (lowest common denominator)

[tex]\frac {15470}{46410},~\frac {13260}{46410},~\frac {13923}{46410},~\frac {14280}{46410},~\frac {13650}{46410}~?[/tex]

hence the two largest are

[tex] \frac{1}{3} \: and \: \frac{4}{13} [/tex]

[tex] \frac{1}{3} + \frac{4}{13} = \frac{25}{39} [/tex]

BRAINLEST PLS... ;-)

Currently, your plane is cruising at an altitude of 33,000 feet and holding steady. You are instructed from the airline control tower that you need to get to a crusing altitude either below 31,000 or above 35,000 feet. If your plane can comfortably climb at an average rate of 800 feet per minute and descend at an average rate of 500 feet per minute, what is the range of times (in minutes) it will take your plane to be in the instructed cruising altitude?

Answers

Answer:

The range of time it would take the plane to be in the instructed area is 2.5 minutes to 4 minutes.

Step-by-step explanation:

The given parameters are;

The current altitude of the plane = 33,000 feet

The required altitude of the plane = Below 31,000 or above 35,000 feet

The average climbing speed of the plane = 800 feet per minute

The average descending speed of the plane = 500 feet per minute

The difference in the current and required altitudes are;

For climbing we have  35,000 feet - 33,000 feet = 2,000 feet

For descending we have  33,000 feet - 31,000 feet = 2,000 feet

Speed = Distance/Time

∴ Time = Distance/Speed  

Based on the climbing and descending rate, we have;

The time it would take to climb 2,000 feet is t = 2000 feet/(800 feet/minute) = 2.5 minutes

The time it would take to descend 2,000 feet is t = 2000 feet/(500 feet/minute) = 4 minutes

The range of time it would take the plane to be in the instructed area is therefore;

Time for descending to time for ascending, which is 2.5 minutes to 4 minutes.

The range of time it would take the plane to be in the instructed area = 2.5 minutes to 4 minutes.

Solve.

x/8 - 5/2 =5/2

Answers

Answer:

x = 40

Step-by-step explanation:

x/8 - 5/2 =5/2

x/8 = 10/2

x/8 = 5

x  = 40

Answer:

[tex]\Huge \boxed{x = 40}[/tex]

Step-by-step explanation:

x/8 - 5/2 = 5/2

Add 5/2 to both sides of the equation.

x/8 - 5/2 + 5/2 = 5/2 + 5/2

Simplify the equation.

x/8 = 10/2

x/8 = 5

Multiply both sides of the equation by 8.

(8)x/8 = (8)5

x = 40

Can you help me please

Answers

Answer:

x = - 11

Step-by-step explanation:

[tex] \frac{4}{x + 2} = \frac{12}{2x - 5} [/tex]

Cross multiply

That's

4( 2x - 5) = 12( x + 2)

Expand the terms in the bracket

That's

8x - 20 = 12x + 24

Group like terms

8x - 12x = 24 + 20

- 4x = 44

Divide both sides by - 4

We have the final answer as

x = - 11

Hope this helps you

Answer: x = -11

Step-by-step explanation:

First Cross product  to reduce it

4(2x-5) = 12(x+2)   Now apply the distributive property on each sides and solve for x.

8x - 20 = 12x + 24   Add 20 to both sides

     +20           +20

8x = 12x +44        subtract 12x from both sides

-12x    -12x

-4x = 44                  Divide both sides by -4

x = -11  

1/5 × 2/3 + 2/5×1/2 ,..... Pls do in steps I will make u as the brailiest

Answers

Answer: 1/3

Multiply

1×2=2

5×3=15

= 2/15

2×1=2

5×2=10

= 2/10

Simplify

2/5 = 2/15

2/10 = 1/5

Add

2/15 + 1/5 = 1/3

Answer:

[tex] \boxed{ \huge{ \boxed{ \bold{ \sf{ \blue{ \frac{1}{3} }}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{1}{5} \times \frac{2}{3} + \frac{2}{5} \times \frac{1}{2} }[/tex]

Multiply the fractions

⇒[tex] \sf{ \frac{1 \times 2}{5 \times 3} + \frac{2 \times 1}{5 \times 2} }[/tex]

⇒[tex] \sf{ \frac{2}{15} + \frac{2}{10} }[/tex]

Take the L.C.M of 15 and 10

⇒[tex] \sf{ \frac{2 \times 2 + 2 \times 3}{30} }[/tex]

Multiply the numbers

⇒[tex] \sf{ \frac{4 + 6}{30} }[/tex]

Add the numbers

⇒[tex] \sf{ \frac{10}{30} }[/tex]

Reduce the numbers with 10

⇒[tex] \sf{ \frac{1}{3} }[/tex]

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

How can we find the L.C.M ( Least Common Multiple )?

https://brainly.com/question/17208712

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

Hope I helped!

Best regards!

There are 123,456 children living in a town. Out of which 64,456 are girls. Approximately, what is the total number of boys in the town?

Answers

Answer:

59,000

Step-by-step explanation:

123,456-64,456=59,000

2. Three more than four times a number is 15.

Answers

Answer:

The number is 3

Step-by-step explanation:

Let the number be x

Four times a number = 4 *x = 4x

Three more than four times a number = 4x + 3

4x +3 = 15

Subtract 3 from both sides

4x + 3 - 3 = 15 -3

            4x = 12

Divide both sides by 4

           4x/4x = 12/4

x = 3

PLEASE HELP!! I WILL GIVE BRAINLIEST!!
In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and DF ≅ BD. Point C is the point of intersection between AG and BD while point E is the point of intersection between AG and DF. Prove ΔABC ≅ ΔGFE.

Answers

Hey There!!

∠ABC ≅ ∠DEC

∠DEC = ∠GEF

thus:

∠ABC = ∠GEF

∠GFE ≅ ∠DCE

∠DCE = ∠ACB

thus:

∠ACB = ∠GFE

If two of their angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°.

Thus: ΔABC ∼ ΔGEF by AA similar triangle postulate.

Hope It Helped!~ ♡

ItsNobody~ ☆

There are 35 students in the drama club. 2 out of every 5 students in the club are boys. How many students in the club are boys?

A) 7
B) 20
C) 14
D) 15



PLEASE HELP​

Answers

Answer:

umm I'm not pretty sure but i say 7

Using proportions, it is found that 14 students are boys, option C.

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

This question is solved by proportions, using a rule of three.Out of every 5 students, 2 are boys.How many are boys out of 35?

2 boys - 5 students

x boys - 35 students

Applying cross multiplication:

[tex]5x = 2 \times 35[/tex]

[tex]5x = 70[/tex]

[tex]x = \frac{70}{5}[/tex]

[tex]x = 14[/tex]

14 students are boys, option C.

A similar problem is given at https://brainly.com/question/24112433

A driveway is 81 feet long 12 feet wide and 6 inches deep. How many cubic feet of the concrete will be required for the driveway help

Answers

Answer:

486 cubic feet

Step-by-step explanation:

This question is trying to trick you, by including 6 inches. Convert 6 inches into 0.5 feet to make the question easier. Now, all you have to do is multiple 81 x 12 x .5 to get the answer of 486 cubic feet of concrete.

Which expressions are equivalent to − 6 + 3 ( 2 + ( − 4 t ) ) −6+3(2+(−4t))minus, 6, plus, 3, left parenthesis, 2, plus, left parenthesis, minus, 4, t, right parenthesis, right parenthesis ?

Answers

Answer:

-12t

Step-by-step explanation:

Given the expression − 6 + 3 ( 2 + ( − 4 t ) ), to get the equivalent expression, the following steps must be followed;

Step 1: Multiply the signs inside the parenthesis

= − 6 + 3 ( 2 + ( − 4 t ) )

= -6+3(2-4t)

Step 2: Open up the parenthesis

= -6 + 3(2)+3(-4t)

= -6 + 6 - 12t

Step 3: Simplify the resulting expression by taking the diffrence between -6 and 6:

= 0 - 12t

= -12t

Hence the equivalent expression is -12t

Answer:

-12t

Step-by-step explanation:

A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to
their store. It took 13.5 m² of material to build the cube.

Answers

Answer:

whats the question love?

Step-by-step explanation:

10. Working in the laboratory, a student finds the density of a piece of pure aluminum to be 2.850 g/cm3. The accepted value for the density of aluminum is 2.699 g/cm3. What is the student's percent error? ​

Answers

Answer: 5.6%

Step-by-step explanation:

Actual Value observed=2.850 g/cm3

Expected value=2.699 g/cm3

Error =Actual value - expected value

         = 2.850-2.699

Error  = 0.151

Error percent = [tex]\frac{Error}{Expected Value} 100%[/tex]%

                     =[tex]\frac{0.151}{2.699} *100\\0.056*100\\5.6[/tex]

The student's percent error ​is 5.6%

Put 2.85g and 2.69g in an open bracket over 2.69g. Multiply the answer by 100 to receive a percentage error of 5.95%.

Evaluate 7n+5 when n = 8

Answers

Answer:

61

Step-by-step explanation:

7n+5

Let n=8

7*8 +5

56+5

61

Answer:

[tex]\Huge \boxed{61}[/tex]

Step-by-step explanation:

[tex]7n+5 \\ \\ \\ n=8[/tex]

Replace n with 8.

[tex]7(8)+5[/tex]

Evaluate the expression.

[tex]56+5[/tex]

[tex]=61[/tex]

write an expression
the quantity of 7+x, squared​

Answers

Answer:

[tex]\huge \boxed{(x+7)^2 }[/tex]

Step-by-step explanation:

The quantity x + 7 is squared.

[tex](x+7)^2[/tex]

Expand the brackets and simplify the expression.

[tex](x+7)(x+7)[/tex]

[tex]x(x+7)+7(x+7)[/tex]

[tex]x^2 +7x+7x+49[/tex]

[tex]x^2 +14x+49[/tex]

We can leave the expression in factored form.

Answer:

( X+7 ) ^ 2

Step-by-step explanation:

=X ^ 2+ 2 x 7 x X + 7 ^ 2

= X^2 +14X +49

Lisa buys a dozen apples and two oranges. Jeremy buys six apples. Oranges cost $1 each, and they spent $9 total. Which of the following shows how to define the variable in order to find the cost of the apples and oranges? A. cost of apples − a cost of oranges − O B. a + cost of apples O + cost of oranges C. a − cost of apples O − cost of oranges D. a = cost of apples O = cost of oranges

Answers

Answer:

  D. a = cost of apples O = cost of oranges

Step-by-step explanation:

The only choice that actually shows a definition of the variables is choice D.

please help :) Evaluate this: (15+12)−3 to the 2 power =

Answers

Answer:

576

Step-by-step explanation:

"(15+12)−3 to the 2 power" can be rewritten, symbolically, as:

[ (15+12) − 3 ]^2, or

[ 27 - 3 ]^2, or

24^2, or 576

Answer:

it is 18

Step-by-step explanation:

Here is a rule to make a sequence. The next term is 4 less than 3 times the previous term. .Starting with the initial term of 10, build a sequence of 5 numbers.

Answers

Answer:

So the sequence of the five numbers are;

10,26,74,218,650

Step-by-step explanation:

In this question, we are interested in building a sequence of 5 numbers given the initial term.

Okay, to build this sequence, we will need to look at the rule that guides the building of the new sequence:

The rule is that the next term is 4 less than 3 times the previous term.

Okay, let’s call the next term y, while the previous term is x.

Following what was specified in the question;

y = 3x -4

Recall; the next term(y) is 4 less (-4) than 3 times (3 multiplied by) the previous term (x)

So let’s start with the initial term of 10.

The next term will be;

y = 3(10) -4 = 30-4 = 26

The next term after 26 will be ;

y = 3(26) -4 = 78-4 = 74

The next term after 74 will be;

y = 3(74) -4 = 222-4 = 218

The next term after 218 will be;

y = 3(218) -4 = 650

Which of the following best defines an angle?
O A corner of a figure like a triangle or square
O Any object that has a vertex,
OTwo rays that share a common endpoint
O The point where two line segments intersect​

Answers

Answer:

Third option

Step-by-step explanation:

The first definition is not as broad as it should be, therefore, while an angle does meet that criteria, it's not a general definition, hence, it is incorrect. The second one is incorrect as well because a parabola has a vertex, and it is certainly not an angle. This definition is not specific enough, so it will be eliminated. The last one is again, too specific. The third one is the best answer because it is broad enough while still being specific.

Write the equation of the line in slope-intercept form and identify the slope.
−5x + 10y = 20

Answers

Answer:

Slope = 1/2

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation is

- 5x + 10y = 20

To find the slope we must first write the equation in the form above

- 5x + 10y = 20

Move - 5x to the right side of the equation

10y = 5x + 20

Divide both sides by 10

We have

[tex]y = \frac{5}{10} x + \frac{20}{10} [/tex]

[tex]y = \frac{1}{2} x + 10[/tex]

Comparing with the general form of equation above

Slope / m = 1/2

Hope this helps you

please help! provide thorough explanation and use elimination method!!

Answers

Multiply both sides of the second equation by 100 to get rid of the decimals:

0.05n + 0.10d = 1.50

==>  5n + 10d = 150

Multiply both sides of the first equation by -5:

n + d = 21

==>  -5n - 5d = -105

Add the two equations together:

(5n + 10d) + (-5n - 5d) = 150 + (-105)

Notice that the terms containing n get eliminated and we can solve for d :

(5n - 5n) + (10d - 5d) = 150 - 105

5d = 45

d = 45/5 = 9

Plug this into either original equation to solve for n. Doing this with the first equation is easiest:

n + 9 = 21

n = 21 - 9 = 12

So Donna used 12 nickels and 9 dimes.

Other Questions
Can someone help me please The subject is math please help me Michael, Nate, Ben, and Andrew are running a relay race. In order to complete the race, they must run exactly 4 laps. Since Michael is the fastest of the four, he runs 1 1/3 laps. Nate then runs 1/2 lap, followed by Ben running 3/4 lap. How many laps must Andrew run to complete the race? Express your answer as a mixed number. Explain how you can use absolute value to tell wether the sum of two integers is positive or negative ___________ focuses on clarifying employees role and task requirements and providing followers with positive and negative rewards contingent on performance. Why is [tex] \sqrt{2x} [/tex] is not a polynomial but [tex] \sqrt{2}x [/tex] is a polynomial? A 32-year-old man is admitted to the ED after taking an overdose of a tricyclic antidepressant drug. He's unconscious and breathing at a rate of 5 to 6 breaths/minute. His ABG values on room air are as follows:pH, 7.25PaCO2, 61 mm HgPaO2, 74 mm HgHCO3-, 26 mEq/literSaO2, 89%Determine the cause (s) of the acid-base disorder:1. Disease, Disorder or Drug2. (vital) Signs and Symptoms3. CAUSE of abnormal CO2 OR HCO3 levels4. Abnormal CO2 OR HCO3 levels5. A/B Disorder The half-life of radium-226 is 1590 years. if a sample contains 100 mg, how many mg will remain after 1000 years? The manager who establishes the organization's goals and determines how the departments should interact is the ______ level manager. You wish to set up an electrochemical cell that has a copper anode and anEcell value > 1.00 V. What should your cathode and cathode solution be? A delivery driver reported that he was 280 miles away from headquarters.The driver can expect to travel 50 miles per hour. How long will it taketo return? Which of the following units is best for measuring distances betweengalaxies?O A. Astronomical unitsO B. Light-yearsO C. KilometersO D. Inches 4 1/2 + 5 1/2= what - Under which type of government system might a prime minister lose power if his/her partyloses its majority...???A.aconfederate systemB.federal systemC.presidential systemD.parliamentary system Bailey Hill Co. uses the indirect method to determine its net cash flows from operating activities. During the course of the year, the company's Accounts Receivable increased by $28,000 and its Accounts Payable decreased by $14,000. If these are the only two adjustments required to convert net income to net cash provided by operating activities, the combined effect will be a(n): ANSWER ASAP PLEASEEEEEE!!!!!! ILL GIVE 100 POINTS!! Simplifying Square Roots of Negative Numbers -100 = + i can someone please give 2 opinions about the battle of Lexington and concord? Marigold Corp. has two divisions; Sporting Goods and Sports Gear. The sales mix is 65% for Sporting Goods and 35% for Sports Gear. Marigold incurs $5735000 in fixed costs. The contribution margin ratio for Sporting Goods is 30%, while for Sports Gear it is 50%. The break-even point in dollars is Please Help Ive been stuck on these questions for a while now! difference between . RAM and hard disk