Answer:
0.17
Step-by-step explanation:
41×cos(D) = 9
cos(D) = 9/41
=>
in a circle with the radius of 41 the point on the circumference of the circle for the angle D has an x-distance from the center of the circle of 9.
therefore, cos(D) = that x-distance divided by the radius (as the trigonometric functions only deliver the values for the norm circle with radius 1).
what is the y-distance (sin(D)×41) ?
r² = x² + y²
41² = 9² + y²
1681 = 81 + y²
1600 = y²
y = 40
therefore, sin(D) = 40/41
tan(D) = sin(D)/cos(D)
you know how to divide 2 fractions with each other ?
by multiplying the 2 outer factors (to top-most and bottom-most) as the top part of the result, and by multiplying the 2 inner factors for the bottom part of the result.
(40/41 - 9/41) / (40/41 / 9/41) =
= 31/41 / (40×41 / 9×41) = 9×41×31 / 40×41×41 =
= 9×31 / 40×41 = 279 / 1640 ≈ 0.17
In △XYZ, m∠X = 27° and m∠Y = 48°. Which gives the sides of the triangle in order from shortest to longest?
Answer:
YZ , XZ , XY
Step-by-step explanation:
first lets find angle Z
angle x + angle y + angle z=180 degree (being sum of interior angles of a triangle)
27 + 48 + angle z=180
75 + angle z=180
angle z =180-75
angle z =105 degree
side YZ is the shortest one because the side opposite to the smallest angles is shortest in side.Then ,XZ is shortest in side because the side opposite to the smallest angle is shortest in side.Since angle z is largest angle so the side opposite to angle z will be the longest side i.e XY
first YZ then XZ and XY.
Simplify (-4a^5b) (2a^2b)
Answer:
[tex]-8a^{7b}[/tex]
Step-by-step explanation:
[tex](-4 a^{5b}) (2a^{2b}) = -(2^2 a^{5b}) (2a^{2b})\\[/tex]
[tex]= -(2 ^2 \times 2) \times a^{5b + 2b}\\\\= -(2 ^{2+1}) \times a^{7b}\\\\=-(2^{3}) \times a^{7b}\\\\= - 8 a^{7b}[/tex]
Which expression is equivalent to Cube root of 125 x Superscript 6 Baseline y Superscript 15 Baseline z cubed?
5x3y3z
5x2y5z
25x2y3z
25x2y5z
Answer:
answer is B
Step-by-step explanation:
Answer:
it really is B.5x2y5z
Step-by-step explanation:
got it right on edge
I don’t know how to do these questions so help plz
Answer:
the anser is no.b that is 30°
Answer:
90°
Step-by-step explanation:
There's are supplementary angles at point C. These are two angles that add up to 180°. We know this because a straight line makes 180° on both sides. Since we know that the first angle is 150°, we can determine the angle a point C is 30°. This is shown by:
180-150=30
So now we know 1 angle and the other two angles are put into like terms (in this case, multiples of x). It is known that the sum of all angles in a triangle equates to 180°. Using this information we can set up a simple equation.
[tex]3x+2x+30=180[/tex]
Combining like terms, we get:
[tex]5x+30=180[/tex]
Isolating x, we get:
[tex]5x=150[/tex]
Dividing both sides by 5, we get:
[tex]x=30[/tex]
So now we can use this x-value to determine the angle that is being asked. It is shown that angle ABC is equal to 3x. Using the x value we just calculated, we get a final answer of:
[tex]3x=3(30)=90[/tex]
Therefore, the answer is 90°. Hope this helps!
Jake volunteers to help out his younger brother's basketball team in his free time. One of his tasks is to ensure that all the basketballs have enough air in them. Given that a properly inflated basketball measures 8.8 inches across, what is the total volume of air inside six of Jake’s basketballs? Assume that the wall of each ball is infinitely thin.
Answer:
The volume is 2140.98 inches
Hope this helped!
Answer:
681.47 π cubic inches
Step-by-step explanation:
In base 2, what is the value of 1011₂ + 10111₂
1011₂ + 10111₂
= (1000₂ + 10₂ + 1₂) + (10000₂ + 100₂ + 10₂ + 1₂)
= 10000₂ + 1000₂ + 100₂ + 2 (10₂) + 2 (1₂)
= 10000₂ + 1000₂ + 100₂ + 2 (10₂) + 10₂
= 10000₂ + 1000₂ + 100₂ + 100₂ + 10₂
= 10000₂ + 1000₂ + 2 (100₂) + 10₂
= 10000₂ + 1000₂ + 1000₂ + 10₂
= 10000₂ + 2 (1000₂) + 10₂
= 10000₂ + 10000₂ + 10₂
= 2 (10000₂) + 10₂
= 100000₂ + 10₂
= 100010₂
PLZ HELP I will give brainliest :)))
Answer:
The answer should be A.
Step-by-step explanation:
Goods bought for $1500 had to be sold off at a loss of 30%. The selling price was ?
A $1950
B $1050
C $450
D $300
Answer:
B $1050
Step-by-step explanation:
Determine 30% of the price
1500 * 30%
1500 *.30
450
Subtract this from the price
1500-450
1050
Answer:
B $1050
Step-by-step explanation:
0.3 x 1500 = 1050
Simplify 45÷2×8-12+42
Please show working
Answer:
210
Step-by-step explanation:
Lets use BEDMAS (Brackets, Exponents, Division, Multiplication, Addition, Subtraction)
45 ÷ 2 = 22.5
22.5 × 8 = 180
180 - 12 = 168
168 + 42 = 210
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Have a great summer :)
In an ecological study, the sampling mean proportion is 0.28 and the sample size is 50. What is the margin of error with a confidence level of 95%?
The margin of error is 0.1245 (approx) with a confidence level of 95%.
What is margin of error ?Margin of error is a statistic which is expressing the measurement of random sampling error in the results of a survey.
Margin of error = [tex]z^{*}[/tex][tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
where [tex]z^{*}[/tex] is the value for confidence level or quantile,
p is the sampling mean proportion and n is the sample size.
How to find margin of error in given problem ?Here, The sampling mean proportion(p)= 0.28
The sample size(n)= 50
Confidence level = 95%
Hence Value for 95% confidence level ([tex]z^{*}[/tex])= 1.96
∴ Margin of error = [tex]1.96[/tex][tex]\sqrt{\frac{0.28(1-0.28)}{50} }[/tex]
= [tex]1.96[/tex][tex]\sqrt{\frac{0.28*0.72}{50} }[/tex]
= [tex]1.96\sqrt{\frac{0.2016}{50} }[/tex]
= [tex]1.96\sqrt{0.004032}[/tex]
= [tex]1.96[/tex]×[tex]0.0635[/tex]
= [tex]0.1245[/tex] (approx)
So, The margin of error is 0.1245 (approx).
Learn more about margin of error here :
https://brainly.com/question/10218601
#SPJ2
Which line of best fit is the best choice for the data given below?
Directions: Solve for x. Round your answer to the nearest tenth. Make sure you calculator
is in degree mode!
541
9
Answer:
12.4
Step-by-step explanation:
using x= 9tan54 the results is 12.38743728 but 12.4 to the nearest tenth
The volume of a cuboid is 462cm3. The length is 11cm and the width is 60mm. Work out the height of the cuboid
Answer:
step-by-step explanation: 1cm is equal to 10mm
The volume of a cuboid is length ×breadth×height
We start by converting 60 mm into cm which will be 6cm
Solution :
462cm3=11cm×6cm
462cm3/66=66cm/66
The final answer will be 7cm
Therefore the height is 7cm
Need help with figuring out this zingoes problem asap, willing to give brainliest!
Answer:
The yellow trapezoid, blue rectangle, and whatever that purple thing is are zingoes
Step-by-step explanation:
As far as I can tell, all the correct examples are
1) Symmetrical
2) Have a line splitting them symmetrically and does not go above or below the shape (Does that make sense?)
The wrong examples don't have any of the characteristics told above. For example, the square would be wrong because it doesn't even have a line
(P.S- This isn't my picture, just found it on the web. Shout out to whoever owns this)
The students at Riverview High School were asked to vote on their preference for new school colors. The school principal was interested to see how the student-athletes might vote differently from the students who are not athletes. The table shows the results of the vote. What percent of the student-athletes voted for red and gold as the new school colors? Round your answer to the nearest whole percent. 27% 42% 51% 67%
Answer: %27
Step-by-step explanation: 90/338 x/100
90x100=9000
9000/338=%27
6
a
4
+
5
b
3
when
a
=
3
and
b
=
−
3
Answer:
27
Step-by-step explanation:
4a + 5b
12 + 15
=27
Given the triangle below, what is the measure of x to the nearest foot?
Answer:
18 ft
Step-by-step explanation:
Since the triangle is right angled ; we could use trigonometry ;
Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x
Cos θ = Adjacent / hypotenus
Cos 40 = 14 / x
0.7660444 = 14 / x
0.7660444x = 14
x = 14 / 0.7660444
x = 18.27
= 18 ( nearest foot)
y=-3x+3
X. y
-4
-2
0
2
Answer:
y/3
Step-by-step explanation:
y=-3x+3
3=3x-y
3/3=3x/3-y/3
pls help me with this maths equation
Answer:
Step-by-step explanation:
given :
y = 120 degree
z = 57 degree
angle x = ?
first lets find angle c in triangle BDC
angle c + z = y (sum of two interior opposite angle is equal to the exterior angle formed)angle C + 57 = 120
angle C = 120 -57
angle C = 63 degree
Now lets find angle B in triangle BDC
angle B + angle C + z = 180 degree (sum of interior angles of a triangle)
angle B + 63 + 57 = 180
angle B + 120 = 180
angle B = 180 - 120
angle B = 60 degree
now for angle x
angle B + z = angle x (sum of two interior opposite angles is equal to the exterior angle formed)
60 + 57 = x
117 = x
The equation of a circle is x2 + y2 + 2x - 10y - 38 = 0. What are the coordinates of the
center and the length of the radius of the circle?
Answer:
Centre = (-1, 5)
radius = 8units
Explanation
The standard form of the equation of a circle is expressed as
x^2+y^2+2gx+2fy+C = 0
Center = (-g, -f)
radius = √g²+f²-C
Given the equation of a circle is x² + y²+ 2x - 10y - 38 = 0.
On comparing
2gx = 2x
2g = 2
g = 2/2
g = 1
2fy = -10y
2f =-10
f =-5
Centre = (-1, -(-5)) = (-1, 5)
radius = √1²+5²-(-38)
radius = √1+25+38
radius = √64
radius = 8units
I told you I was not smart :[
Answer:
Attached below
Step-by-step explanation:
Trapezoid: Opposite side are parallel in trapezium.
So, opposite sides are parallel in all given quadrilateral except second.
Therefore, attached figure is not trapezium.
Answer:
.........
Step-by-step explanation:
Which describes the correlation shown in the scatterplot
What is the length of the hypotenuse of the right triangle in the diagram?
Answer:
it's hypotenuse will be -8
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.
How much of the 10% alcohol solution should Bruce use?
How much of the 15% alcohol solution should Bruce use?
Answer:
10% = 30 15% = 20
Step-by-step explanation:
_
(4/9)^-1=
A. -4/9
B. 9/4
C. -9/4
Answer: 9/4
Step-by-step explanation: Think of [tex](\frac{4}{9})^{-1}[/tex]as [tex]\frac{4^{-1} }{9^{-1}}[/tex].
Now, we can change 4⁻¹ to 4¹ by moving it to the denominator and
we can change 9⁻¹ to 9¹ by moving it to the numerator.
So we have 9¹/4¹ which simplifies to 9/4.
Find the distance between the given points. Round to the nearest tenth.
Answer:
(7 , -3)
Step-by-step explanation:
The distance between A and B is 7 squares to the right and 3 squares down
Help me please ASAP tysm
Answer:
2/3 ft
Step-by-step explanation:
area of triangle =base*height/2
2/5=base*6/5/2
2/5 *2 =base * 6/5
4/5 =base*6/5
4/5÷6/5=base
4/5 * 5/6=base
20/30=base
2/3=base
therefore base=2/3 ft
The hall is a rectangle that measures 4m long by 90 cm wide what is the area
Step-by-step explanation:
the answer is 36000 cm2
please mark the brainliest
┻━┻︵└(՞▽՞ └)
What is the exact value of the trigonometric ratio of tan-240 degrees?
which expression is equivalent to 4(3x+2)-5x
A = 7x+2
B = 7x+8
C+12x+2
D=2x+8
Answer:
B) 7x + 8
Step-by-step explanation:
distribute 4 first to get:
12x + 8 - 5x
combine like terms to get:
7x + 8