Answer:
x = 30°
Step-by-step explanation:
2sinx - 1 = 0
2sinx = 1
sinx = 1/2
x = 30°
Answer:
x = nπ + ( -1 )π π/6, where n is the integer
Step-by-step explanation:
A sum of 300 pounds into the ratio of 1:2:2. How much is the smallest share?
Answer:
60
Step-by-step explanation:
Summing the ratios gives 1+2+2=5
300/5 = 60
(1 x 60) + (2 x 60) + (2 x 60)
(60) + (120) + (120) = 300
Hence the least share is 60
The other two shares are equal which is 120
ABCD is a quadrilateral. Work out the length of CD. Give your answer to 3 significant figures
Check the picture below.
[tex]sin(35^o)=\cfrac{\stackrel{opposite}{12}}{\underset{hypotenuse}{BD}}\implies BD=\cfrac{12}{sin(35^o)} \\\\[-0.35em] ~\dotfill\\\\ \textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{sin(52^o)}{BD}=\cfrac{sin(102^o)}{CD}\implies CD=\cfrac{BD\cdot sin(102^o)}{sin(52^o)} \\\\\\ CD=\cfrac{\frac{12}{sin(35^o)}\cdot sin(102^o)}{sin(52^o)}\implies CD=\cfrac{12\cdot sin(102^o)}{sin(35^o)\cdot sin(52^o)}\implies CD\approx 26.0[/tex]
Question 7 Finally, select point D and move it around the circumference of circle A. Which type of polygon is formed by the line segments joining points A, B, and C?
Answer:
Regardless of where point D is located on the circle, a right triangle is formed between points A, B, and C. The right angle of the triangle is ∠ABC.
Step-by-step explanation:
PLATO
Answer:
Regardless of where point D is located on the circle, a right triangle is formed between points A, B, and C. The right angle of the triangle is ∠ABC.
What is the lcm of 7 and 21
Answer:
21
Step-by-step explanation:
7x3=21
21x1=21
EASY
Find the surface area of the composite figure
Rectangle 4cm 4cm 12cm
Triangle 6cm
Answer: 256
Step-by-step explanation: The triangle needs to be multiplied 6x4 then 4 again for the sides of the triangle and divided by two. As for the rectangle you multiply the front which is 48 and the front is the back so 48+48 then the fours which are the bottom that then equals 16 do not use that for the top the top does not count because that is what the shapes are connected by then finally 48 for the top and bottom then add 48+48+48+48+16 to get your answer.
What is the slope of a line that is parallel to y = 1x and goes through the point (1, 9).
Both lines have the same slope of 1
The unknown line is y=x+8
Look at the photo for the graph
This figure has two intersecting lines and a ray. What is the value of x?
37°
108°
72°
19°
Answer:
The value of x is D. 37°
Step-by-step explanation:
No need for math on this one, the angle next to x is 71° and is significantly bigger, so the only answer could be 37°.
The value of x will be 37°.
What is Vertically opposite angles?
Vertically Opposite Angles are the angles opposite each other when two lines cross.
Given that;
This figure has two intersecting lines and a ray.
Now, By the definition of vertically opposite angles, we get;
x° + 71° = 108°
Then, Solve for x as;
x° + 71° = 108°
Subtract 71 both side;
x° + 71° - 71° = 108° - 71°
x° = 37°
Thus, The value of x will be 37°.
Learn more about the vertically opposite angles visit:
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How did you decide whether to group this as a function, or not a function?
plz plz help
Answer:
This is a function because it passes the vertical line test
Step-by-step explanation:
Oil flows back and forth between a small and large tank. When oil is moving into the large tank, the flow rate is positive. When oil is moving into the small tank, the flow rate is negative. The large tank begins with 600 gallons of oil. The flow rate is recorded as –4 gallons per minute. After a period of 32 minutes, how much oil has been moved and to which tank?
Flow is given as, F = - 4 gallon per minute into small tank.
( Since, flow is negative )
Volume of oil in large tank, V = 600 gallons.
Now,
Volume of oil has been moved :
[tex]v = F \times t\\\\v = -4 \ gallons/min \times\ 32\ min\\\\ v = -128\ gallons[/tex]
Therefore, 128 gallons of oil has been moved to small tank.
Hence, this is the required solution.
Answer:
128 gallons, into the small tank. I think its the second option for the last box, not 100 percent sure but i did the question so yea :D
Step-by-step explanation:
Which of the following numbers is between 5 and 10 on a number line? Select two that apply.
Answer:
it would be any number that is less that ten but greater than 5
PLS HELP PLS PLS PLS
Answer:
Step-by-step explanation:
( x + 25 )° + ( 5x + 10 )° = ( 15x - 10 )°
6x + 35 = 15x - 10
9x = 45
x = 5
Lauren drew a tower using only similar quadrilaterals. Which statement about the quadrilaterals must be true?.
For Lauren's tower which he drew using only similar quadrilaterals the statement B is correct, which is the quadrilaterals are different shapes but the same size.
What is quadrilateral?Quadrilateral is the plane shape which is closed polygon having which is made by using the four sides, four angles and four vertices.
The sum of all the interior angle in a quadrilateral is equal to 360 degrees.
The two quadrilateral are said to be a similar quadrilateral when the quadrilaterals are all the same size and shape.
Here, Lauren drew a tower using only similar quadrilaterals. Let's check all the statement about the quadrilaterals given as,
The quadrilaterals have corresponding angles that are congruent.The quadrilaterals are all the same size and shape.The quadrilaterals are different shapes but the same size.The quadrilaterals have corresponding sides that are congruent.As for the similar quadrilaterals, quadrilaterals are all the same size and shape. Thus, the option B is the correct option.
Hence, for the Lauren's tower which he drew using only similar quadrilaterals the statement B is correct, which is the quadrilaterals are different shapes but the same size.
Learn more about the quadrilateral here;
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Rodrigo needs a total of 3 pounds of vegetables for a stew. He already has 38 pound of onions and 13 pound of tomatoes. How many more pounds of vegetables does he need to buy?
Answer:
m needs 3 pounds of vegetables for a vegetable soup recipe. He already has 2/3 pound of carrots and 1/4 pound of celery.
Step-by-step explanation:
Simplify the expression completely:
3(1+2(8-5))-(1+1)^2
Answer: 17
Step-by-step explanation:
PEMDAS or wutever your teacher taught u
3(1+2(8-5))-(1+1)^2
Solve from the most inner parenthesis
8 - 5 = 3
3 x 2 = 6
6 + 1 = 7
7 x 3 = 21
Next solve the other part
1+1 = 2
2^2 = 4
Now put these two together
21-4 = 17
Answer:
8
Step-by-step explanation:
Using PEMDAS to solve
Parentesis
Exponents
Multiplication
Division
Addition
Subtraction
:) hoped it helped
Punctele o, a, b, c sunt coliniare in aceasta ordine , iar segmentele oa, ab si bc au lungimile exprimate in cm , prin numere naturale pare consecutive . Se stie ca m este mijlocul segmentului ac si om = 11 cm . Calculati : a) lungimea segmentului oc b) distanta dintre n , mijlocul segmentului ob , si punctul m
Answer:
???
Step-by-step explanation:
Plz help need this last question
Answer:
a = -√3/3
b = 2√3/3
Step-by-step explanation:
Finding the slope of the tangent at C by finding the derivative:
x^2 + y^2 = 1
2x + 2y y' = 0
2y y' = -2x
y' = -2x / 2y = -x/y
So the slope = - 1/2 / √3/2
= -1/2 * 2/√3
= -1/√3
= -√3/3
Using the point-slope form of a straight line
y - y1 = m(x - x1)
y - √3/2 = -√3/3(x - 1/2)
y - √3/2 = -√3/3 x +√3/6
y = -√3/3 x + √3/6 +√3/2
y = -√3/3 x + 4√3/6
y = -√3/3x + 2√3/3
SOMEONE HELP ITS DUE TODAY PLEASE!!!
Which letters in the word "GEOMETRY" have exactly one line of symmetry?
GEOMETRY
letters :- EMTY
There r only 4 letters in geometry which have one line of symmetry
Please help me i need to complete this by tomorrow
Answer:
Step-by-step explanation: Need to work out your scale factor which is 1.5.
8 * 1.5 = 12
CE = 12
12 * 9 = 108/2 = 59 that is the area of triangle ACE
8 * 6 = 48/2 = 24 that is the area of triangle BCD
ACE - BCD = ABDE
59 - 24 = 35cm^2
What is the volume of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
32 yd
14 yd
cubic yards
Answer:
11253.76
Step-by-step explanation:
GIven Information;
Height = 14 yd
Diameter = 32 yd
Note;
Radius = d/2
Since Radius = d[Diameter] /2 then 32/2 = 16 yd
Solve;
Volume of cylinder formula;
= [tex]\pi r^2h[/tex]
Using = 3.14
[tex](3.14) (16^2)(14)[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:3.14\cdot \:14=43.96[/tex]
[tex]=16^2\cdot \:43.96[/tex]
[tex]=256\cdot \:43.96[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:43.96\cdot \:256=11253.76[/tex]
[tex]=11253.76[/tex]
[RevyBreeze]
Answer:
[tex]\huge\boxed{\sf 11253.76\ yd^3}[/tex]
Step-by-step explanation:
Height = h = 14 yd
Diameter = d = 32 yd
Radius = d/2 = 32/2 = 16 yd
Volume of cylinder:
[tex]= \pi r^2 h\\\\= (3.14)(16)^2(14)\\\\= (3.14)(256)(14)\\\\= 11253.76\ yd^3\\\\\rule[225]{225}{2}[/tex]
If there are 13400 students at Rocky Valley College and 1/4
take speech, how many students take a speech at rocky valley college
Answer:
three thousand three hundred and fifty.3,350
Step-by-step explanation:
the question given was:1/4 take a speech, so how many?: one fourth, if you divide 13,400 by 4 its 3,350. that is one fourth of 13,400. So, if you add 3,350 four times, it would be 13,400.
Hope this helped!<3
ILL GIVE BRAINLIEST!!
Select all of the expressions that are equivalent to
4x – 5 +6.
4x + (-5)+(6)
4x - 6+5
4x + 1
5x
5 + 6 - 4x
Answer:
4x + (-5) + (6)
4x + 1
hope that helps
is (ab)c = a(cb). True or False
Answer:
true
Step-by-step explanation: You are multiplying all numbers (ab)*c is basically a*b*c and a(cb) is basically a*b*c. [gimme 5-star :)]
5 to the 4th power times 10 to the 4th power
Answer:
6250000
Step-by-step explanation:
Answer:6250000
Step-by-step explanation:
Mr. Baker worked 42 hours and earned $504.00. How much did he make per hour
Answer:
The answer is 12 remainder 6 but if it is a decimal form question it is 12.6
Answer:
the answer s 12$
Step-by-step explanation:
because if you do 504 divided by 42 you get 12 and if you do it backwards
42x12 you will get 504
One ninth of the height of an iceberg was above the surface of the water. The iceberg
extended to a depth of 75.8 m below the surface. What was the height of the iceberg above surface? Express your answer to nearest tenth of a meter.
With solution please and thank you!
Your grandfather is a coin collector. He has 50 coins of gold or silver separated into 7
bags. Gold coins are in packs of 6 and silver coins are in packs of 8. How many bags of
each coin does he have?
4 bags of gold and 3 bags of silver
2 bags of gold and 5 bags of silver
3 bags of gold and 4 bags of silver
5 bags of gold and 2 bags of silver
Answer:
c
Step-by-step explanation:
a = 48 coins 4 x 6 = 24 3 x 8 = 24 24 + 24 = 48
b = 52 coins 2 x 6 = 12 5 x 8 = 40 40 + 12 = 52
c = 50 coins 3 x 6 =18 4 x 8 = 32 32 + 18 = 50 correct
d = 46 coins 5 x 6 = 30 2 x 8 = 16 30 + 16 = 46
A submarine starts at surface of the
water. After 25 minutes, it is 2750 feet
below sea level. If the submarine is
traveling at a constant rate, what is the
submarine's elevation change per
minute?
Answer:
110
Step-by-step explanation:
2750ft/ 25mins = 110 ft per min. I hope this helps.
what day is it
brainliest
Answer:
Friday
Step-by-step explanation:
The restaurant check is $54.50. Mary wants to leave a 20% tip for the server. What is the tip amount?
20 points, I'll give brainliest, SHOW YOUR WORK PLEASE :)
Answer:
$10.90
Step-by-step explanation:
Turn your 20% tip into a decimal (0.20) and multiply that by the overall check. $54.50 x 0.20 = $10.90