given the diagram below, what is COS(45º)?

Given The Diagram Below, What Is COS(45)?

Answers

Answer 1

Answer:

1 / [tex]\sqrt{2}[/tex]

Step-by-step explanation:

In a 45,45,90 triangle, the two legs of the triangle are equal to each other and the hypotonus being x [tex]\sqrt{2}[/tex]. So that make the unknown sides 6 and 6[tex]\sqrt{2}[/tex]. When solving for cos(45) you divide the leg adjacent to the 45 (6) by the hypotonus (6[tex]\sqrt{2}[/tex]) This gives you 6/6[tex]\sqrt{2}[/tex]. You can simplify the 6s to get 1 / [tex]\sqrt{2}[/tex]

Answer 2
Answer: Choice C

Explanation:

This is a 45-45-90 right triangle, aka isosceles right triangle.

The two legs are 6 units each, because the legs of isosceles triangles are the same length.

The hypotenuse is 6*sqrt(2) through the use of the pythagorean theorem.

From here we can say:

[tex]\cos\left(\text{angle}\right) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos\left(45^{\circ}\right) = \frac{6}{6\sqrt{2}}\\\\\cos\left(45^{\circ}\right) = \frac{1}{\sqrt{2}}\\\\[/tex]

It turns out that the '6' has nothing to do with the final answer, since the '6's cancel out. So we could change that 6 to any number we want, and the answer would still be the same.

Side note: Rationalizing the denominator will have [tex]\frac{1}{\sqrt{2}} = \frac{\sqrt{2}}{2}[/tex]


Related Questions

The marked price of a radio set is 450000. A discount of 5% of the marked price is allowed. What is the selling price of the radio

Answers

Answer:

$427,500 dollars

Step-by-step explanation:

Given the following question:
Initial price = 450,000
5% discount

In order to find the answer, we simply find 5% of 450,000.

[tex]\frac{5\times450000}{100} =5\times450000=2250000\div100=22500[/tex]
[tex]450000-22500=427500[/tex]
[tex]r=427500[/tex]

The radio (after a 5% discount) costs "$427,500 dollars."

Hope this helps.

another real estate agent sold a house for $315,000 last week if her commission is 1.25% of the selling price of the home find the amount of her commission. Please explain

Answers

Answer:

$ 3937.5

Step-by-step explanation:

First, we convert 1.25% into a decimal.

That would be .0125.

Now we multiply the decimal with the whole number to find our answer.

315000 × .0125 = 3937.5

Therefore, 3937.5 would be the amount of her commission.

-kiniwih426

What is 7(4+y)?? Please help me

Answers

Answer:

28+7y

Step-by-step explanation:

7(4+y) = (7 · 4) + (7 · y)

= 28 + 7y

A sprinter in a 100 dash accelerates uniformly from rest reaching a top speed of 14.7 m/s after 6.00 seconds. He then runs at constant speed for the remainder of the race.

B. How far did he travel in the first phase of the race?​

Answers

I assume "first phase" refers to the first 6.00 seconds of the dash.

Since the sprinter starts from rest and accelerates uniformly, he covers a distance x after time t of

x = 1/2 at²

where a is his acceleration.

The sprinter's velocity v after time t is

v = at

so that if he attains a speed of 14.7 m/s after 6.00 s, he does so with acceleration a such that

14.7 m/s = a (6.00 s)   ⇒   a = 2.45 m/s²

Then in the first 6.00 seconds, the sprinter travels

x = 1/2 (2.45 m/s²) (6.00 s)² = 44.1 m

Lisa flipped a coin 50 times and got a head 20 times. What was the experimental probability of flipping a heads? what is the theoretical probability of flipping a heads?

Answers

Answer:

2/5 (or 0.4)

Step-by-step explanation:

There was 50 flips, that's the total. #/50

Head was 20 times, that's the answer we're looking for. 20/50

20/50 Simplified is 2/5 (or 0.4)

the sum of the digits of a two digit number bis 14 if 36 is subracted from the number the place of the digits are reversed find the number​

Answers

The answer is 95

9+5 =14
95-36= 59
59 reversed is 95

Solve for w.
6w= 18-3w
Simplify your answer as much as possible.
19

Answers

Answer:

w=2

Step-by-step explanation:

[tex]6w= 18-3w[/tex]

[tex]6w+3w=18-3w+3w[/tex] (Add 3w to both sides)

[tex]9w=18[/tex]

[tex]\frac{9w}{9}=\frac{18}{9}[/tex] (Divide both sides by 9)

[tex]w=2[/tex]

Hope this helps!

Hey there!

6w = 18 - 3w

18 - 3w = 6w
-3w + 18 = 6w


SUBTRACT 6w to BOTH SIDES

-3w + 18 - 6w = 6w - 6w


SIMPLIFY IT!

-9w + 18 = 0

SUBTRACT 18 to BOTH SIDES

-9w + 18 - 18 = 0 - 18


CANCEL out: 18 - 18 because it gives you 1

KEEP: 0 - 18 because it help solve for the w-value


NEW EQUATION: -9w = 0 - 18


SIMPLIFY IT!

-9w = -18


DIVIDE -9 to BOTH SIDES

-9w/-9 = -18/-9

CANCEL out: -9/-9 because it gives you 1

KEEP: -18/-9 because it give you the x-value


NEW EQUATION: x = -18/-9


SIMPLIFY IT!

x = 2


Therefore, your answer is: x = 2


Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Ana wished to compute for the average speed of a moving bus on a straight line highway, She noted the distance covered. What other quantity should she record?
A. Acceleration
B. Direction
C. Time
D. Velocity

Answers

The other quantity needed to calculate the average speed is time.

What is average speed?

Average speed is the total distance travelled per time. It is how fast an object moves with respect to time.

Average speed = total distance / total time

For example, if the distance travelled is 100km and the total time is 10 hours, average speed is 10 km/hr (100 / 10).

To learn more about average speed, please check: https://brainly.com/question/21734785

-x+2y=17 and 2x+2y=-10

Answers

Answer:

What are you asking of us? To work out the value of X and Y?

im so confused......... :/

Answers

Answer:

1/14

Step-by-step explanation:

1/7 x 1/2 there are two parts to the rectangle and one is colored so its one half.

1/7x1/2 is multiply the tops and bottoms so you get1x1 over7x2 which equals 1/14




A scale model of a buliding is 24 inches tall. The actual building is 180 feet tall. What is the scale factor of the model?

Answers

Answer:

1 inch = 7.5 feet.

Step-by-step explanation:

24 divided by 24 equals 1. 180 divided by 24 equals 7.5

If the edge of a cube measures 8 cm. Find it volume, its surface area​

Answers

Answer:

Volume: 512cm

Surface Area: 384 cm

Step-by-step explanation:

Volume formula: V= length x width x height

Surface Area formula: A= 6a^2 ; a = edge

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Question
Each side of quadrilateral TVWX is tangent to ⊙Y. Find the perimeter of the quadrilateral.

Answers

keeping in mind that tangent lines to the same circle when intersecting each other outside the circle are the same length, Check the picture below.

Plz help
due today at 12:30pm

Answers

Answer:

Step-by-step explanation:

4 plus 8 is 12 plus 5 is 17. then add the months 5 plus 6 is 11 plus 8 is 19, 19 is one year and 7 months so the answer is 18 years old and 7 months.

Answer: 18 years and 7 months

Step-by-step explanation:5+8+4= 17 and 8+6+5= 19

17 years and 19 months aka 18 and 7 months

Factor 27b–12.
Its ixl for 7th grade
Lesson name Factor of linear expressions letter r

Answers

3(9b-4)

You divide each by 3 because of common factor you can message me for more math help if you need!!

Please like and brainiest

Which equation is equivalent to 16 Superscript 2 p Baseline = 32 Superscript p 3?.

Answers

The equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,

[tex]2^{8p}=2^{5p+15}[/tex]

What is equivalent equation?

Equivalent equation are the expression whose result is equal to the original expression, but the way of representation is different.

Given information-

The given equation in the problem is,

[tex]16^{2p}=32^{p+3}[/tex]

Write both the equation in the form of same base number as,

[tex](2^4)^{2p}=(2^5)^{p+3}[/tex]

The power of the power of a number can be written as product of both the numbers. Thus,

[tex](2)^{4\times2p}=(2)^{5\times(p+3)}\\2^{8P}=2^{5P+15}[/tex]

This is the required equation.

Now if the base is the same at both side of the expression, then the powers can be compared. Thus,

[tex]8p=5p+15[/tex]

Solve it further to find the value of p as,

[tex]8p-5p=15\\3p=15\\p=5[/tex]

Thus the equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,

[tex]2^{8p}=2^{5p+15}[/tex]

Learn more about the equivalent expression here;

https://brainly.com/question/2972832

Answer:

C

Step-by-step explanation:

good luck

ASAP what is the answer 8q=64. also can you explain how to do this

Answers

you divide by 8 on both sides of the equal(=) sign to find what q is. 64\8=8. 8q/8 =canceled out. leaving you with ur answer which is q=8. hope this helped <3

HELP ME WITH PROVING LINES PARALLEL PLEASE

Answers

Answer:

x = 30

Step-by-step explanation:

5x and 3x + 60 are co-exterior angles. To make A and B parallel, they should congruent (equal}

5x = 3x + 60

5x - 3x = 60

2x = 60

  x = 60/2

 x = 30

Checking:

5x = 5*30 = 150

3x + 60 = 3*30 + 60 = 90 + 60 = 150

A roll of ribbon was 12 meters long. Diego cut 9 pieces of ribbon that were 0.4 meters each to tie some presents. He then used the remaining ribbon to make some wreaths. Each wreath required 0.6 meter

Answers

Answer:

I dont understand what the question is but

diego used 3.6 meters for the presents

and was able to make 14 wreaths

Step-by-step explanation:

9  x .4 = 3.6  

12-3.6=8.4

8.4/.6=14

help me with geometry please

Answers

Answer:

x=7

Step-by-step explanation:

we have,

7x-7=4x+14         use the transposing method

7x-4x=14+7

3x=21

x=21/3

x=7

can you mark me brainliest please

L is parallel to M. Then,
7x - 7 = 4x + 14
7x - 4x = 14 + 7
3x = 21
x = 7

Anthony leans a 28-foot ladder against a wall so that it forms an angle of 76^{\circ} ∘ with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

Step-by-step explanation:

[tex]Cos \ 76 =\dfrac{adjacent \ side}{hypotenuse}\\\\0.2419=\dfrac{x}{28}\\\\\\0.2419*28=x\\\\\\x=6.7732[/tex]

x =6.8 ft

Tlaloc pumped up 56 balls. He pumped up 5 dodge balls for every 9 other balls. Complete the table.

Answers


Total: 14 (just add 5 + 9)

56/14 = 4, so we know each will be multiplied by 4

Dodgeballs: 5 * 4 = 20
Other: = 9 * 4 = 36

Total balls will be 14, dodge balls will be 20 and the number of other balls will be 36.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In another word, the equation is a set of variables that have been constructed.

In other words, an equation is a set of variables that are constrained through a situation or case.

The total ball will be the sum of dodge ball + other ball so it will be

5 + 9 = 14

The number of pumped up for a single ball

56/14 = 4

So the number of Tlaloc pumps of dodge ball will be  5 × 4 = 20.

Number of Tlaloc pump of other ball = 9 × 4 = 36.

For more about the equation

brainly.com/question/2263981

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Can someone help me with this??

Answers

Answer:

negative 10 less than x

-10 < x

Jade wants to buy a $200,000 term life insurance policy. She is 34 years old. Using the premium table, what is her annual premium for a 10 year policy? A 5-column table with 6 rows titled Annual Life Insurance Premium (per 1,000 dollars of face value). Column 1 is labeled age with entries 30, 31, 32, 33, 34, 35. Column 2 is labeled 5-year term male with entries 3. 98, 4. 08, 04. 19, 4. 30, 4. 42, 4. 54. Column 3 is labeled 5 year term female with entries 3. 66, 3. 76, 3. 87, 3. 98, 4. 10, 4. 22. Column 4 is labeled 10-year term male with entries 6. 06, 06. 13, 6. 30, 6. 38, 6. 45, 6. 53. Column 5 is labeled Female with entries 5. 72, 5. 79, 5. 85, 5. 93, 6. 01, 06. 9. A. $1,290 b. $1,202 c. $6,010 d. $820.

Answers

Premium rates are usually for  premium per fixed face value. Jade's annual premium for a 10 year policy is given by Option b: $1,202

How to calculate the total annual premium for $x ?

If its given that the annual premium is $p per $y face value, then we can calculate the annual premium for $1 face value and then use it to calculate annual premium for $x.

Using proportions, we get:

[tex]\rm \$y \: face \: value : \$p \: annual \: premiun\\\\\rm \$1 \: face \: value : \$\dfrac{p}{y} \: annual \: premiun\\\\\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premiun\\[/tex]

For given case, from the tables, we see that for age 34, and 10 year life insurance for female gender , there is annual premium of 6.01 per $1000 face value.
Thus, we have p = 6.01, y = 1000

Since Jade wants to buy Life insurance for $200,000, thus, x = $200,000

Putting it in the above derived formula, we get:

[tex]\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premium\\\\\rm \$200000\:face\: value : \$\dfrac{6.01 \times 200000}{1000} \: annual \: premium\\ = \$1202 \: annual \: premiun[/tex]

Thus, Jade's annual premium for a 10 year policy is given by Option b: $1,202

Learn more about calculating annual premium cost here:

https://brainly.com/question/13168988

Date
Selling Cars
Solving One-Step Equations
The Media Store runs a promotion in July to increase summer business. They take $2 off of
every DVD in the store. Complete the table below.
Sale Price
Regular Price
$17
Movie
Speed XXIV
The Furious and the Fast
Planet Wars
Saturday the Fourteenth XIII
$12
$19
$6
1. How did you find the sale price, given the regular price? Use a complete sentence to
explain your answer.
2. Write an expression to represent the sale price, given the regular price.
Use any method to solve each equation.
3. X + 33 = 97
4. 7 + x = 24

Answers

Answer:Computer Store sells DVDs for a day =    110

No. of days the store works                 =    266

No. of DVDs saled in 266 days          =    266 days  x   110DVDs

                                                             =    29,260 DVDs

Step-by-step explanation:

which expression represents the expression 20x-10 after it has been factored completely? SHOW ME WHAT YOU DID
A. 2(10x-5)
B. 2(2x-1)
C.10(20x-10)
D. 10(2x-1)

Answers

Answer:

it is A and D

Step-by-step explanation:

A. 2 * 10x is equal to 20x

and then 2 * 5 is equal to 10

so the answer is 20x-10

D. 10 *2x is equal to 20x

and then 10 * -1 is equal to -10

so the answer is 20x-10

help me pls and tell me every step( I will give crown)

Answers

Answer:

42

Step-by-step explanation:

fir a 100% is missing 40

divide 28 by 4 and then multiply by 6

Answer:

42 students

40%

72 (end of number line)

Explanation:

How to find the percentage for the 28 students:

100% - 60% = 40%

Knowing that, we now know 28 = 40%. We need to figure out what 10% is equal so we can figure out what 60% is equal.

How to find 10%:

28 ÷ 4 = 7

10% = 7 students

How to find 60% of students:

10 · 6 = 60

7 · 6 = 42

With that information, we can find out the final sum.

40% + 60% = 100%

28 + 42 = 72.

6. Graph the function f(x) = 2* - 3. 5 4 3 2+ 1 + 3 N- 1 0 1 N- 3 4 5 1 2 3 4 57​

Answers

Answer:

x<1.5.

Step-by-step explanation:

hope this helped <3

The graph of function f (x) = 2ˣ - 3 is shown in figure.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f (x) = 2ˣ - 3

Now, We get;

At x = 1;

⇒ f (x) = 2ˣ - 3

⇒ f (1) = 2 - 3 = - 1

At x = 2;

⇒ f (x) = 2ˣ - 3

⇒ f (2) = 2² - 3 = 1

Hence, The graph is passing through (1, - 1) and (2, 1).

Thus, The graph of function f (x) = 2ˣ - 3 is shown in figure.

Learn more about the function visit:

https://brainly.com/question/11624077

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What is 20 times 49087

Answers

Answer: 981740

Alternative forms : 9.8174 × 10⁵

Based on the given conditions, formulate:
20 × 49087

Calculate the product or quotient:
981740

I hope this helps you :)

Help me please I need help

Answers

Answer:

Step-by-step explanation: you need to dived by3000

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