Answers
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]
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
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;
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Answer:
C
Step-by-step explanation:
good luck
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
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
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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.
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:)
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
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
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.
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:
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Help me please I need help
Answers
Answer:
Step-by-step explanation: you need to dived by3000
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
Can someone help me with this??
Answers
Answer:
negative 10 less than x
-10 < x
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
9+5 =14
95-36= 59
59 reversed is 95
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:
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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
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:
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
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
What is 20 times 49087
Answers
Alternative forms : 9.8174 × 10⁵
Based on the given conditions, formulate:
20 × 49087
Calculate the product or quotient:
981740
I hope this helps you :)
Previous
37
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.
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
-x+2y=17 and 2x+2y=-10
Answers
Answer:
What are you asking of us? To work out the value of X and Y?
Factor 27b–12.
Its ixl for 7th grade
Lesson name Factor of linear expressions letter r
Answers
You divide each by 3 because of common factor you can message me for more math help if you need!!
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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
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)
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
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
ASAP what is the answer 8q=64. also can you explain how to do this
Answers
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
7x - 7 = 4x + 14
7x - 4x = 14 + 7
3x = 21
x = 7