Answer:
Step-by-step explanation:
The area of the equilateral triangle is [tex]\frac{\sqrt{3}}{4}(6)^{2}=\boxed{9\sqrt{3}}[/tex]
The perimeter of a square is 56cm. State the length of one of its sides.
Answer:
The length of one of the sides would be 14 cm.
Step-by-step explanation:
There are 4 sides to a square and the total perimeter is 56 cm meaning that we need to divide 56 by 4 to get the length of one side. 56 divided by 4 is equal to 14 cm, getting your answer. I hope this helps! Have a great day! :)
PLEASE ANSWER THESE!!!!!!!!!!!!!!!!
Answer:
First one: X= 11.5
Second one: W = 3
X= 41.4°
Third one: 516.8
Step-by-step explanation:
Remember SOH CAH TOA when dealing with trigonometry and study the diagrams well
6. Find the principal value of each of the following to the nearest minute:
Arccsc (1.607)
A. 38°64
B. 39°24'
C. 38°48'
D. 38°32'
E. 39°37'
F. 38°29'
The principal value of Arccsc (1.607) to the nearest minute is 38°29'
To answer the question, we need to know what arccsc is
What is arccsc?Arccsc is the inverse of the cosec of an angle.
Let x = arccsc(1.607)
So, taking the inverse, we have
csc(x) = 1.607
Since csc(x) = 1/sinx, we have
1/sinx = 1.607
sinx = 1/1.607
sinx = 0.6223
The value of x
Taking inverse, we have
x = arcsin(0.6223)
x = 38.483°
Since 60' = 1°, we have
x = 38 + 0.483° × 60'/1°
x = 38° + 28.98'
x = 38°28.98'
x ≅ 38°29'
So, the principal value of Arccsc (1.607) to the nearest minute is 38°29'
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Need help checking my work for Trigonometry. Will mark brainist!
Answer:
1. 0.9925 (4 d.p.)
2. 17°
3. 67°
Step-by-step explanation:
Question 2
⇒ sin 83° = 0.9925461516...
⇒ sin 83° = 0.9925 (4 d.p.)
Question 3
[tex]\sf \implies \sin X=0.2923[/tex]
[tex]\sf \implies X=\sin^{-1}(0.2923)[/tex]
[tex]\implies \sf X=16.99570395...^{\circ}[/tex]
[tex]\implies \sf X=17^{\circ}\:\:(nearest\:degree)[/tex]
Question 4
Sine Ratio
[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)From inspection of the triangle:
[tex]\theta[/tex] = WO = OS = 24H = OW = 26Substitute the values into the formula and solve for W:
[tex]\implies \sf \sin(W)=\dfrac{24}{26}[/tex]
[tex]\implies \sf W= \sin^{-1}\left(\dfrac{24}{26}\right)[/tex]
[tex]\implies \sf W=67.38013505...^{\circ}[/tex]
[tex]\implies \sf W=67^{\circ}\:\:(nearest\:degree)[/tex]
MATH!!! Volume of prisms stuff
Jade and chet get a weekly allowance plus x dollars for each time the pair walks the dog. they plan to save 40% of their combined earnings in one week to purchase a new app for their smart tablet. their earnings in a certain week are represented in the table. earnings ($) jade 8+2x chet 4x+6 if their parents pay $2.50 each time they walk the dog, how much money will they have to purchase the app?
The amount of money Jade and chet will have to purchase the app is $11.6
How to solve equation?Jade = 8 + 2xChet = 4x + 6Where,
x = $2.50
Amount each earned:
Jade = 8 + 2x
= 8 + 2(2.50)
= 8 + 5
= $13
Chet = 4x + 6
= 4(2.50) + 6
= 10 + 6
= $16
Combined earnings = $13 + $16
= $29
Amount planned to save = 40% of combined earnings
= 40% × $29
= 0.4 × 29
= $11.6
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how do u convert a percentages into fractions ??
Answer:
Step-by-step explanation:
To convert a percent to a fraction, we have to remove the percent sign and divide the given number by 100
ex: 11% = 11/100
how old is someone, who is a million minutes old?
Explanation and work out pls
Answer:
1.93 or 2 years old
Step-by-step explanation:
First divide 1,000,000 by 60 to get the hours then by 24 to get the days then by 30 to get the months then by 12 to get the years.
Answer:
2 years old(Rounded)
Keys:
YtvWhere Y is Years, m is minutes, and v is the default value for dividing minutes into years.
Step-by-step explanation:
Y = m ÷ v
m = 1,000,000
v = 525,600
m ÷ v = 1.903
While Al was staying overnight on vacation with his friends his only expenses were for food. Al spent $7.52 on lunch, $9.74 on dinner, and then $5.16 on breakfast the next morning. If Al had $2.68 left, how much money did he begin with?
$19.74
$25.10
$15.36
$22.42
Answer:
$25.10
Step-by-step explanation:
lunch=$7.52
dinner=$9.74
breakfast=$5.16
money left=$2.68
make total money he began with ‘x’
to find the total money he began with it will be
x-lunch+dinner+breakfast=money left
x-$7.52+$9.74+$5.16=$2.68
x-$22.42=$2.68
x=$2.68+$22.42
x=$25.10
The table shows values for a quadratic function.
What is the average rate of change for this function for the interval from x = 1
to x = 3?
The average rate of change for this function for the interval from x = 1
to x = 3 will be 8. Therefore option B is correct.
How to find the average rate of change of something?Let the thing that is changing be y and the thing with which the rate is being compared is x, then we have the average rate of change of y as x changes as:
[tex]\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where when
[tex]x = x_1, y = y_1\\and \\x = x_2, y = y_2[/tex]
The average rate of change can be calculated as;
From x=1 to x=3,
y = 2 and y = 18
Therefore, based on the table, when:
[tex]x_1 = 1 y_1 = 2 \\and \\x_2 = 3, y_2 = 18[/tex]
Then:
[tex]\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]\text{Average rate} = \dfrac{18 - 2}{3-1}\\\\\text{Average rate} = \dfrac{16}{2}\\\\\text{Average rate} = 8[/tex]
Therefore option B is correct.
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What is the length of segment XZ?
Answer:
24 is the length of segment XZ
The area of a square is 36 square feet. each side of the square measures
Help For points
-100
-120
-140
Answer:
x = 140°
Step-by-step explanation:
the secant- secant angle 10° is half the difference of the intercepted arcs
10° = [tex]\frac{1}{2}[/tex] (30 - ? )° ( multiply both sides by 2 to clear the fraction )
20° = 30 - ? ( subtract 30° from both sides )
- 10 = - ? ( multiply both sides by - 1 )
10° = ?
the lower arc is a semicircle = 180°
the sum of the arcs in a circle = 360° , then
x = 360° - 180° - 30° - 10° = 360° - 220° = 140°
What is the surface area? 2 mm 3 mm 1 mm square millimeters
What is the surface area? 2 mm 3 mm 1 mm square millimeters.
[tex] \mathbb{SOLUTION:} [/tex][tex] \sf{SA = 2mm \times3mm \times 1mm } [/tex][tex] \sf{SA = 2x(2 \times 3 + 2 \times 1 + 3 \times 1)}[/tex][tex] \sf{SA= 22 \: square \: millimeters^{2} } [/tex]••••••••••••••••••••••••••••••••••••••••••••
- Hence,The square millimeters is 22sqm².
"Problem has been Solve"
(ノ^_^)ノ
Answer :
Surface area is 22mm²
Required solution :
After noticing the question we got to knew that we need to calculate the surface area of cuboid and we've been provided with the values of length, breadth and height of it.
★ Surface area of cuboid :
S.A. =2 (lb + lh + hb)Substituting values,
>> S.A. = 2 (2 × 3 + 2 × 1 + 3 × 1)
>> S.A. = 2 (6 + 2 + 3)
>> S.A. = 2 (8 + 3)
>> S.A. = 2 (11)
>> S.A. = 2 × 11
>> S.A. = 22
Find the value of x.
Round to the nearest tenth.
B
63
142°
61
A
C
X
x = [?
X
Law of Cosines: c² = a² + b² - 2ab cos C
The value of x in the triangle using the cosine rule is 22.1 degrees.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Cosine rule is used to show the relationship between the sides and angles of a triangle. It is given by:
c² = a² + b² - 2ab cos C
Where a, b, c are the sides and C is the angle opposite side c.
Using cosine rule:
8² = 14² + 19² - 2(14)(19) * cos(x)
cos(x) = 0.9267
x = 22.1°
The value of x in the triangle using the cosine rule is 22.1 degrees.
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Using the law of Cosines, the value of x to the nearest tenth is 77.8
Law of CosinesFrom the question, we are to determine the value of x
Using the law of Cosines
c² = a² + b² - 2ab cos C
c is the unknown side length
a and b are the given side lengths
and C is the included angle
From the given information,
a = 63
b = 62
C = 142°
Then,
x² = 63² + 61² -2×63×61 cos 142°
x² = 3969 + 3721 -7686(-0.788)
x² = 7690 + 6056.568
x² = 13746.569
x = √13746.569
x = 77.8
Hence, the value of x to the nearest tenth is 77.8
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Which three ordered pairs describe points that are 5 units away from P(-1,2)?
A. (1,5)
B. (-6,7)
C. (-1,-3)
D. (4,2)
E. (2,-2)
The ordered pair that is 5 units away is (-1, -3)
What is a line?
A line is a distance between two points.
Analysis:
see attached file.
In conclusion, the ordered pair is (-1, -3)
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3. The probability of winning a balloon dart game is 0.25. The odds of winning a ring toss game are 2:7. Which game gives you a better chance of winning?
Please help
Answer:
Ring toss game
Step-by-step explanation:
[tex]2:7[/tex] can be rewritten as [tex]\frac{2}{7}[/tex], which is [tex]\approx0.286[/tex].
We can now compare the probabilities of winning for each game.
[tex]0.286 > 0.25[/tex]
This means the odds of winning the ring toss game ([tex]0.286[/tex]) are higher than the odds of winning the balloon dart game [tex](0.25)[/tex].
need help fast given lim x→c f(x) = "-4" and lim x→c g(f) =1/5 what is lim x→c [g(f)/f(x)]
Work Shown:
[tex]\displaystyle \lim_{x \to c}f(x) = -4\\\\\\\lim_{x \to c}g(x) = 1/5\\\\\\L = \lim_{x \to c}\frac{g(x)}{f(x)}\\\\\\L = \frac{\displaystyle \lim_{x \to c}(g(x))}{\displaystyle \lim_{x \to c}(f(x))}\\\\\\L = \frac{1/5}{-4}\\\\\\L = (1/5)*(-1/4)\\\\\\L = -1/20\\\\[/tex]
Put simply, we divide the two given values g(x) = 1/5 over f(x) = -4 to end up with -1/20
what is the value of x if 105% of 90 is equal to 200% of x?
If arc CE is 125°, what is the measure of angle CDE?
Check the picture below.
Answer:
A. 55
Step-by-step explanation:
Using a standard six-sided die, janice rolled either a 2 or a 5on the last 6 rolls of the die. what is the probability of janice rolling a 2or a 5 on her 7th toss of the die?
Answer:
1/3
Step-by-step explanation:
probability = favorable outcomes/total possible outcomes
There are two favorable outcomes, 2 and 5.
There are 6 total possible outcomes.
Make your fraction.
2/6
reduce
1/3
What is the end behavior of the function f(x)=−1/4x^2?
Answer:
As x approaches infinity, f(x) approaches negative infinity
As x approaches negative infinity, f(x) approaches negative infinity
Step-by-step explanation:
Because the function goes in the downward direction on both sides, it would be negative infinity for both.
It's basically saying, as the x values go towards the positives, the y values go towards the negatives
and as the x values go towards the negatives, the y values go towards the negatives.
Can someone please help me with this? it's really important, ill give 10 points for this.
Answer:
ill answer
Step-by-step explanation:
but what is the question please make me brillianist
Please Help I Don't Understand!
Answer:
5.3
Step-by-step explanation:
Since they are similar triangles, we assume the ratio between AM/AN is equal to the ratio between MB/NC.
AM/AN = 6/8 = 3/4
If MB is 4
3/4 = MB/NC = 4/NC
3/4 = 4/NC
3NC = 16
NC = 16/3
16/3 = 5.333333
A bag contains 4 blue balls, 7 yellow balls and 4 white balls. Event A is defined as drawing a blue ball on the first draw and event B is defined as drawing a white ball on the second draw. If two balls are drawn from the bag, one after the other and not replaced, what is P(B|A) expressed in simplest form? A. B. C. D.
P(B|A) expressed in simplest form is 8/105.
What is the probability?Probability determines the chances that an event would happen. The chance of the event happening lies between 0 and 1.
P(B|A) = (number of blue balls / total number of balls) x (number of white balls / total number of balls - 1 )
(4/15) x 4/14 = 8/105
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Can you do it on paper and photos? the answer!
help me
The value of x in all case is
1. The value of x is 2
2. The value of x is 1
3.The value of x is 57
4.The value of x is 93
What is complementary and supplementary angle?If the sum of two angles is 180 degrees then they are said to be b angles, which form a linear angle together. Whereas if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together.
1. As the given angle is 90 degree i.e., complementary angle.
So,
54+10x+16=90
20=10x
x=2
2. 65x-12=43x+10 (Vertically opposite angle)
22x= 22
x=1
3. 72= x+15 (Vertically opposite angle)
x= 57
4.x+244+23=360 (Complete angle)
x=93
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Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
14r4y6
718y2
OA 24
14
B.
7y3
12
OC. 7r4y4
OD. 2x²y³
Reset
Next
The simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
The question is incomplete.
The complete question is attached in the picture, please refer picture.
We have an expression:
[tex]= \rm \dfrac{\left(14x^4y^6\right)}{\left(7x^8y^2\right)}[/tex]
[tex]\rm =\dfrac{7\cdot \:2x^4y^6}{7x^8y^2}[/tex]
[tex]\rm =\dfrac{2x^4y^6}{x^8y^2}[/tex]
[tex]\rm =\dfrac{2y^4}{x^4}[/tex]
Thus, the simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.
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Answer:
A
Step-by-step explanation:
imagine explaining
An unusual number cube (with 6 sides) has the numbers 2, 2, 4, 4, 6, and 6 on its faces.
It is rolled once. Match the outcome to its probability.
1. P(2 or 4)
2. A(multiple of 2)
3. P(multiple of 3)
4. P(odd prime numbers)
2/3
0
1
1/3
Answer:
1. P(2 or 4) - 2/3
2. P(multiple of 2) - 1
3. P(multiple of 3) 1/3
4. P(odd prime numbers) 0
Step-by-step explanation:
Good luck lol
P(2 or 4) = 2/3
P( multiple of 2) = 1
P( multiple of 3) = 1/3
P(odd prime numbers) = 0
What is probability?Probability is the likelihood of an event happening or not.
Analysis:
possible outcome = (2,2,4,4,6,6) = 6
P(2 or 4)
n( 2) = required outcome = (2,2) = 2
P(2) = 2/6 = 1/3
n(4) = (4,4) = 2
P(4) = 2/6 = 1/3
P(2 or 4) = 1/3 + 1/3 = 2/3
n( multiple of 2) = (2,2,4,4,6,6) = 6
P( multiple of 2) = 6/6 = 1
n(multiple of 3) = (6,6) = 2
P(multiple of 3) = 2/6 = 1/3
P(odd prime numbers) = 0
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There is a set of 10 jobs in the printer queue. One of the jobs in the queue is called job A. How many ways are there for the jobs to be ordered in the queue so that job A is the first to finish or the last to finish
The number of ways for the jobs to be ordered in the queue so that job A is the first to finish or the last to finish is; 2 * 9!
How to solve permutation and combination?We are told that;
There is a set of 10 jobs in the printer queue.
One of the jobs is job A. Thus, there are 9 other identified jobs.
Number of ways to order this nine jobs = 9!
Since the job A has to be ordered first or last, then;
Number of ways to order job A = 2 ways.
Thus;
Total number of ways to order the jobs in the given order = 2 * 9!
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On the blue prints for a house, 2 inches represents 3 feet. If the width of a room on
the plan is 6½ inches, what is the actual width of the room?
Please help!!
Answer:
The actual width would be 9.75 feet. (I think).
Step-by-step explanation:
If two inches represents three feet, then two inches also represents thirty-six inches. You would then have to set up the proportion [tex]\frac{2}{36} = \frac{6.5}{x}[/tex]. Solving that proportion would get you an answer of 117 inches, equal to 9.75 feet. I hope this helps! :)