Please help I need to find the measure of the three unknown variables. Any help will be greatly appreciated:))
Answers
Answer:
[tex]x = 8 \sqrt{3} [/tex]
[tex]y = 60[/tex]
[tex]z = 30[/tex]
Step-by-step explanation:
To find x, use pythagorean theorem,
[tex] {x}^{2} + {8}^{2} = {16}^{2} [/tex]
[tex] {x}^{2} + 64 = 256[/tex]
[tex] {x}^{2} = 192[/tex]
x=13.9 or 8 times sqr root 3( see later)
To find y, use cosine ratio.
[tex] \cos(y) = \frac{8}{16} [/tex]
[tex] \cos(y) = \frac{1}{2} [/tex]
[tex]y = 60[/tex]
To find z, use triangle interior theorem
[tex]90 + 60 + z= 180[/tex]
[tex]150 + z = 180[/tex]
[tex]z = 30[/tex]
Since this a 30-60-90 triangle, side x could be also written as
[tex]8 \sqrt{3} [/tex]
Related Questions
Answer the question to get marked as barinliest!!!!!
Answers
Answer:
The answer is option B.
A = pi • 8^2
Step-by-step explanation:
The formula for area of a circle as A = pi • r^2. Radius is half the diameter, and the given diameter is 16 - therefore, the radius is 8. You then have to raise it to the second power and multiply it by pi to get the area of the circle. Hope this helped! Best of luck.
Answer:
The ameliorated retort, concerning the contemporaneous presented interrogate, is equated to an equation equivalence of B. A= π * 8^2
Step-by-step explanation:
To convey the ideology and retort proposed, the imminent is evaluated.
- To commence, the beginning of the interrogate states the figure obtains a diameter configuration of 16 inches.
- In addition, the radius, given which the diameter is equivalent to such, is obligated to equal 8 inches (r = 1/2(d)).
Furthermore, the precedent may be equated as the following:
A=πr^2
A= π * 8^2, whom is expressed to the unit of A = π * 64
Alas, in conclusion, the voracious retort, subject to the interrogate is equivalent to A = π * 8^2, A = π * 64, or "B."
I hope this helps.
Please help me!!!!!!
Answers
Answer:
C is 25
Step-by-step explanation:
Because 25+38=63 and 63/7 is equal to 9.
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of c in the expression (c + 38) / 7 = 9 is 25.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
(3x + 2)/ 3 is an expression.
2x + x + 4x is an expression.
We have,
(c + 38) / 7 = 9______(1)
We will solve for c.
From (1).
(c + 38) / 7 = 9
Multiply 7 on both sides.
7 x (c + 38) / 7 = 7 x 9
c + 38 = 63
Subtract 38 on both sides.
c + 38 - 38 = 63 - 38
c = 25
Thus,
The value of c in the expression (c + 38) / 7 = 9 is 25.
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Which expression is equivalent to 24x8y 4.5 ? Assume X=and y> 0. 128x+y 473 2x2y 4y2 43 4xy? 4/3x.
Answers
Answer:
D. [tex]\frac{\sqrt[4]{3x^2}}{2y}[/tex]Step-by-step explanation:
[tex]\sqrt[4]{\frac{24x^6y}{128x^4y^5} }[/tex] = [tex]\sqrt[4]{\frac{3x^2}{16y^4}}[/tex] = [tex]\sqrt[4]{\frac{3x^2}{(2y)^4}}[/tex] = [tex]\frac{\sqrt[4]{3x^2}}{2y}[/tex]Correct choice is D
[tex]\frac{\sqrt[4]{3x^2}}{2y}[/tex] is the simplification of the given expression.
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are called PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
It is given an expression [tex]\sqrt[4]{\frac{24x^6y}{128x^4y^5} }[/tex]
Simplifying the given expression using the PEMDAS technique,
[tex]\sqrt[4]{\frac{24x^6y}{128x^4y^5} }\\\\\sqrt[4]{\frac{3x^2}{16y^4} }\\\\\frac{\sqrt[4]{3x^2}}{2y}[/tex]
Therefore, the simplified value of the given expression is [tex]\frac{\sqrt[4]{3x^2}}{2y}[/tex]. Thus, the option D is correct.
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Your uncle is currently four times as old as you are. In five years, your uncle will be three times as old as you. What is your current age?
A. 10
B. 8
C. 5
D. 1
Answers
Answer:
your uncle will always be 4 times as old as you if he is currently 4 times as old as you
Step-by-step explanation:
kinda self explanatory so i think its a trick question haha
A.12
B.26
C.28
D.30
E.32
F.50
Please help me need ASAP the question is on the picture
Answers
The circumference of a circular garden is 119.32 feet. What is the radius of the garden? Use 3.14 for t and do not round your answer.
Answers
Answer:
r = 19 ft
Step-by-step explanation:
Circumference, C is given as 119.32 ft
Circumference of a circle is given by the formula, 2πr
This means that,
C = 2πr, we're told to assume that π = 3.14
So therefore,
119.32 = 2 * 3.14 * r
r = 119.32 / 6.28
r = 19 ft
The sum of the measures of SWT and
TWV is 90°
T
(6m + 6)
36
S
w
What is the value of m?
A 54
14
B 23
D 8
Answers
Answer:
d. 8
Step-by-step explanation:
6m+6+36=90
simplify
6m+42=90
subtract 42 from both sides
6m=48
divide both sides by 6
m=8
When born, a baby weighed 8.5 pounds and gained 1.6 pounds per week for the first 10
weeks. Which of the following functions accurately models the number of pounds, p, the
baby weighs as function of the number of weeks, w, since it was born?
Answers
Answer:
I believe the answer is C
Step-by-step explanation:
if the baby weighted 8.5 pounds when born then that is the initial value therefore the baby will be weighted 1.6 times 10 weeks or w
hope this helps
A student said that 42% of 78 is 45. Is this answer reasonable? Explain.
whats the sample response for edg
Answers
Answer:
nope
Step-by-step explanation:
.42*78 is 32.76, not 45
Answer:
42% can round to 40%, and 78 can round to 80. 40% of 80 is 32, so 42% of 78 should be about 32. 45 is much greater than 32, so the answer is not reasonable.
Step-by-step explanation:
sample responce
a symbol such as 2/3 or 1/2 used to name part of a whole pat of a set or a location on the number line is called ______
Answers
Which is the solution to the system of equations?2x+y=7 and 3x−4y=5
Answers
Answer:
X = 3, Y = 1.
Step-by-step explanation:
X = 3 and Y = 1, because 2 times 3 equals 6, and 6 plus 1 equals 7. So that's for the first one, but now we need to make sure that it's the same value for the other equation. 3 times 3 equals 9, 4 times 1 equals 4, and 9 minus 4 equals 5. So X = 3, and Y = 1. Hope this helped :D
In the first two hockey games of the year, Rodayo played 1 % periods and 1
% periods. How many periods in all did he play?
Answers
Answer:
Total periods that Rodayo played = 1 ½ + 1 ¾ = (3/2) + ( 7/4) = 13/4 = 3 ¼ periods
Step-by-step explanation:
Tyrone practices the piano for 120 min each week. Amina practices the piano 45% of the time that Tyrone practices each week. How many minutes does Amina practice the piano each week?
Answers
Answer:
Amina practices the piano for 54 minutes each week.
Step-by-step explanation:
45% * 120min = 0.45 * 120min = 9/20 * 120min = 9 * 6min = 54min
Totsakan had $22 to spend on five pencils.
After buying them he had $12. How
much did each pencil cost?
Answers
Answer:
$2 each
Step-by-step explanation:
If x is the price of 1 pencil, the equation is 22-5x=12
-5x=12-22
-5x=-10
5x=10
x=2
Each pencil was $2
Hope it helps :)
Brainliest? :o
$10 divided by 5 pencils= $2
Hope it helped.
BRAINLIEST TO CORRECT ANSWER!!
Answers
Answer:
Step-by-step explanation:
How can we eliminate the fraction?
y = - - 2
Answers
Answer:
multiply each term on both sides by 4
Step-by-step explanation:
What is the surface area of the cone in terms of π?
A cone. The diameter of the base is 8 meters and the slant height of the cone is 15 meters.
Answers
Answer:
The surface area of the cone is;
68 π m^2
Step-by-step explanation:
Here, we want to get the surface area of the cone
Mathematically, we have this as ;
S.A = π(r^2 + rl)
where r is the radius and l is the slant height
We are given the diameter, but the radius is half of this
d = 8
r = d/2 = 8/2 = 4 m
l = 13 m
S.A = π(4^2 + 4(13))
= π(16 + 52) = 68 π m^2
Write a polynomial that represents the perimeter of the figure
Answers
Answer:
4x² + 4x + 8
Step-by-step explanation:
P = 2( 2x² - 3x + 1 ) + 2( 5x + 3 ) = 4x² - 6x + 2 + 10x + 6 = 4x² + 4x + 8
4x² + 4x + 8
Answer:
4x^2 + 4x + 8.
Step-by-step explanation:
Perimeter = 2(width + length)
= 2(5x + 3 + 2x^2 - 3x + 1)
= 2(2x^2 + 2x + 4
= 4x^2 + 4x + 8.
For a suitcase to be checked on a flight (instead of carried by hand), it can weigh at most 50 pounds. Andre’s suitcase weighs 23 kilograms. Can Andre check his suitcase? Explain or show your reasoning. (Note: 10 kilograms ≈≈ 22 pounds)
Answers
Answer:
No, I don't think so.
Step-by-step explanation:
If his suitcase weighs 23 kg and 10 kg is 22 pounds. You could seperate it. 10, 10, and 3 meaning 22+22= 44. This would mean that 1 kg would equal about 2.2 a pound. So 44 + ( 2.2 x 3 ) = 50.6 kg.
It would be 0.6 k.g over. I think this is right unless I calculated this wrong.
Andrew can not check his suitcase and it needs to remove some items or repack it in order to reduce the weight.
What are Units ?To measure and compare various things we use one term which is known as a unit.
For example, for length measurement we use units like:- metre, centimetre, inch, miles.
To determine if Andre can check his suitcase, we need to convert the weight of his suitcase from kilograms to pounds since the weight limit for checked luggage is given in pounds.
Given that 10 kilograms ≈ 22 pounds, we can convert Andre's suitcase weight of 23 kilograms to pounds by multiplying it by the conversion factor:
23 kilograms x 22 pounds/kilogram ≈ 506 pounds
Therefore, Andre's suitcase weighs approximately 50.6 pounds, which exceeds the weight limit of 50 pounds.
Therefore, Andre cannot check his suitcase and needs to remove some items or repack it to reduce the weight below the weight limit.
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WILL GIVE BRAINLIEST
Answers
Answer: D. (8, 4)
Step-by-step explanation:
Can someone please help me and fast I'm stuck
Answers
Answer:
3 5/8
Step-by-step explanation:
6 4/8 - 2 7/8 = 4 -3/8 = 3 5/8
Help me please I need this ?!!!!!!
Answers
Answer:
16x^4 y^2
Step-by-step explanation:
A number x subtracted from 9.8 is greater than -4.
Optional question for brainliest: The quotient of a number y and - 3.6 is less than 6.5
Answers
Answer: Expert Answer quotient is a mathematical operation requiring two things, i.e. the quotient of a and b is a ÷ b, or a/b. In this case, the problem mentions y / (-3.6) and goes on to say < 6.5. So you have this inequality: y / (-3.6) < 6.5. or equivalently y > - 117/5.
9.8 - b > -4
Step-by-step explanation:
The person at (0, 1) needs a bottled
water. He moved to the right on a slope
of -4. Where can you find him to give
him the water he ordered?
Answers
Answer:
(0,-4)
Step-by-step explanation:
1-4= -3
So it’s (0,-3)
HELP PLS HELP ASAP :((((((9
Answers
What do ou Sun and
the star Vega have in
Common
Answers
Answer:
Vega has a radius of around 1.1 million mi / 1.8 million km, about 2.5 times bigger than our Sun. Vega is the first solitary main-sequence star beyond the Sun known to be an X-ray emitter. They are both stars. They both form a circle that is very bright for human eyes. Over one million Earth's could fit inside the Sun.
Step-by-step explanation:
please help quick! problem is attached as a picture! any links or spam will be reported, thanks :) and
Answers
Answer:
41.11m
Step-by-step explanation:
You're looking for the hypotenuse of a right triangle, so you'll use the pythagorean theorem of a^2 + b^2 = c^2. And here, you're looking for c^2
(18)(18) + (36)(36) = c^2
324 + 1296 = c^2
1690 = c^2
c = square root of 1690 = 41.1096095, round to 41.11
Answer:
41.11
Step-by-step explanation:
convert 18 quarts to gallons.
a.4 1/2
b.9
c.2/9
d.72
Answers
Answer:
A. 4 1/2
Step-by-step explanation:
Answer:
A is the correct answer.
hope this helps.
What is the equation of the line in slope-intercept form?
Answers
Answer:
[tex]consider \: (0,4) \: and \: (-3,0) \\ gradient \: \: m = \frac{( - 3 - 0)}{(0 - 4)} \\ m = \frac{3}{4} \\ from \: y = mx + c \\ for \: (-3,0) : \: 0 = \frac{3}{4} \times - 3 + c \\ c = \frac{9}{4} \\ therefore \\ y = \frac{3}{4} x + \frac{9}{4 } \\ 4y = 3x + 9[/tex]
Adam, Chris, and jason have 2 1/2, 3 1/3, and 1/6 pounds of fish, respectively, to bring to the fish fry. how many pounds of fish do they have combined. 
Answers
Answer:
7lbs
Step-by-step explanation: