ABCD is a quadrilateral.
29
Work out angle x.
13 cm
8 cm
А
6 cm
D
Answer:
Answer:
27.6 degrees
Step-by-step explanation:
Write an
equation of a line in slope-intercept form that passes through (5, 2) with a slope of -2.
Answer:
y=-2x+12
Step-by-step explanation:
This is an equation in slope-intercept form:
y=mx+b (where m is the slope and b is the y-intercept)
We are given the slope, -2.
y=-2x+b
We plug in the values (5,2):
2=(-2)*5+b
2=-10+b
b=12
The equation is:
y=-2x+12
A ball rolls down and the distance traveled by the ball is given by d = 5t + t2/3 feet in t seconds. Find the time when the ball reaches the distance of 18 feet.
WILL MARK BRAINLIEST!!
I. Write 2-7i in polar coordinates on the complex plane.
II. Find (1+i)^8 using DeMoivre's theorem.
(r,θ) = (7.28,254.05°) are 2-7i in polar coordinates on the complex plane.
What are polar coordinates?The polar coordinates system is a two-dimensional coordinate system in which each point is determined by distance from the point and an angle from the reference direction.
I. Polar form = (r,θ) = (7.28,254.05°)
z = 2 - i7
r= [tex]\sqrt{ 2^2+-7^2}[/tex]
= √53
= 7.28
θ = tan^-1 (-7/-2)
=3.5
= 74.05
Point lies in the third quadrant
Hence θ = 180+74.05
= 254.05°
Polar form = (r,θ) = (7.28,254.05°)
II. Z=16
De Moivre's theorem states if
z= r(cos(θ) + i sin (θ)) , then
[tex]z^2=r^2(cos(n\theta)+ i sin (n\theta))[/tex]
[tex]r= \sqrt{1^2+1^2}[/tex]
= √2
θ= arc tan (1/1)
= π / 4
z= √2 (cos (π / 4)+i sin (π / 4))
z^8 = (√2 (cos (π / 4)+i sin (π / 4)))^8
= (√2 (cos (8π / 4)+i sin (8π / 4)))^8
=16 (cos(2π) + i sin (2π)
=16
Learn more about polar form;
https://brainly.com/question/13640455
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Monique wants to have an equal number of cups and napkins. What
is the least number of packages of cups and the least number of
packages of napkins Monique should buy to have an equal number
of cups and napkins?
write y=2x^2-12x+16 in vertex form
Answer:
y = 2[tex](x - 3)^{2}[/tex] - 1
Step-by-step explanation:
y = 2[tex]x^{2}[/tex] - 12x + 16
y = 2([tex]x^{2}[/tex] - 6x + 8) ( Factor out 2 )
y + 9= 2([tex]x^{2}[/tex] - 6x + 9) + 8 ( Complete the square [tex](\frac{-b}{2} )^{2}[/tex] ) Add 9 both sides
y + 9 = 2 [tex](x - 3)^{2}[/tex] + 8 (Subtract 9 each side)
y = 2 [tex](x - 3) ^{2}[/tex] - 1 ( simplify )
Find the area of the rectangle.
A rectangle
Answer:
The formula to find the area of a rectangle is A=BH
so the area equals the base times the height
Hope This Helps!!!
A sphere has a volume of 1,436.03m^3, what is the approximate length of its radius?
A
4.9 m
B
7.0 m
C
10.7 m
D
18.5 m
Answer:
B. 7.0 m
Step-by-step explanation:
steps are in the pic above
A class conduct an experiment in biology. They place a number of 1 m by 1 m square grids on the playing field and count the number of plants in each grid. The results obtained are given below.
6 3 2 1 3 2 1 3 0 1
0 3 2 1 1 4 0 1 2 0
1 1 2 2 2 4 3 1 1 1
2 3 3 1 2 2 2 1 7 1
(a)
Calculate the mean number of plants.
Step-by-step explanation:
their mean is....
6+3+2+1+3+2+1+3+0+1/10=2.1
3+2+1+1+4+0+1+2+0/10=1.4
1+1+2+2+2+4+3+1+1+1/10=1.8
2+3+3+1+2+2+2+1+7+1/10=2.4
the means are 2.1,1.4,1.8,2.4
the average mean is
21+14+18+24/40
32+45/40
77/40=1.925
the average mean is 1.925
Find the measure of the indicated angle to the nearest degree using trig functions. (if you can also give me step by step on how to get the answer that would be great)
A) 21°
C) 20°
B) 70°
D) 9°
Answer:
A ; 21
Step-by-step explanation:
Here, the side facing the right angle is the hypotenuse and it has a measure of length 42
The side facing the missing angle is the opposite and it has a length of 15
The trigonometric ratio that connects the hypotenuse and the opposite is the sine
The sine of an angle is the ratio of the opposite to the hypotenuse
Thus;
sine ? = 15/42
sine ? = 0.357
? = arc•sim 0.357
? = 21 degrees
What is the hardest math problem ever?
Step-by-step explanation:
this is the hardest I think
2x^2 - 4x + 5 x = -3
A student answered 68 questions correctly in a test and received a grade
of 85%. How many problems were on the test, if all the problems carried
the same number of points?
Answer:
There are 80 questions on the test
Step-by-step explanation:
I think this is right, but don't quote me on this.
What function is graphed below?
Answer:
[tex]y\ =\ \ \tan\theta\ +2[/tex]
Step-by-step explanation:
rosa brought (d) drawings to an art show, after selling 17 of them, she had 22 left.identify the equation that represents this situation and the correct solution.
A. d-17=22; d=39
B. d+17=22; d=5
C. d+17=22; d=39
D. d-17=22; d=5
Answer:
A
Step-by-step explanation:
Rosa started with d amount of drawings. After selling 17, she has 22 left. So the equation is d-17=22. 17+22=39, so d must equal 39.
The two
triangles are similar.
What is the value of x?
Enter your answer in the box:
Answer:
x = 5
Step-by-step explanation:
Sides of large triangle: 4x and 15
Corresponding sides of small triangle: 3x + 1 and 12
[tex] \dfrac{4x}{15} = \dfrac{3x + 1}{12} [/tex]
[tex] 60 \times \dfrac{4x}{15} = 60 \times \dfrac{3x + 1}{12} [/tex]
[tex] 16x = 15x + 5 [/tex]
[tex] x = 5 [/tex]
multiply (3p+4q) by (3m+2n).
Answer:
9pm + 6pn + 12qm + 8qn
Step-by-step explanation:
Use FOIL (firsts, outers, inners, lasts)
^ this tells you what to multiply
Multiply the firsts 3p × 3m = 9pm
Multiply the outers 3p × 2n = 6pn
Multiply the inners 4q × 3m = 12qm
Multiply the lasts 4q × 2n = 8qn
Please helpppp
Find h
Answer:
the square root of 85 (so 85 is the answer)
Step-by-step explanation:
You can use the pythagorean theorem to find the height. So the sides of the triangle would contain the radius (4/2 = 2) and 9.
so, 2 squared plus 9 squared = 85
I hope this helps!
Which of the following CANNOT be assumed from this image?
Answer:
that he lines are not going strait
Step-by-step explanation:
A jewellery shop is having a sale. A bracelet is now reduced to £420. This is 70% of the original price. Work out the original price of the bracelet.
Answer:
Step-by-step explanation:
x is the original price.
420/x = 70% = 0.7
x = 420/0.7 = 600
Original price of bracelet was £600
Find the value of x such that the data set has the given mean.
102, 120, 106, 111, 108, x; mean 101
therefore, x = 59
Step-by-step explanation:
Here,
Mean (m) = 101
No. of terms (n) = 6
submission x (total) = 102+120+106+111+108+x
= 547 + x
Now, We know;
m = total / n
101 = 547 + x / 6
101 × 6 = 547 + x
606 - 54u = x
Hence , x = 59.
Could anyone help me out with this?
Answer: they are abt the same its all abt percentage now- Pitcher A
Step-by-step explanation: more water lessens the strength
Find the volume of this sphere. Use 3 for pi.
Answer:
radius=16divided by 2
=8
Volume=4÷3πr^3
Volume=4÷3×3×8
Volume=96÷3
Volume=32
PLEASE HELP ME ILL MARK YOU BRAINLIEST !!!!!!!!!!
Step-by-step explanation:
(1/2) / (1/3) = (1/2)(3/1) = 3/2 miles per hour = 1.5 miles per hour
Answer:
Step-by-step explanation:
to find the unit rate, which is what we are looking for, we have to divide the number of miles by the number of hours. Specifically:
[tex]\frac{\frac{1}{2} }{\frac{1}{3} }[/tex] and to work this out, we bring up the bottom fraction and flip it to multiply, giving us:
[tex]\frac{1}{2}[/tex] × [tex]\frac{3}{1}[/tex] which is [tex]\frac{3}{2}[/tex] miles per hour (which is the same thing as walking a mile and a half every hour). The choice you're looking for is the one that reflects 3/2 miles per hour. (I can't see which choice it is; they're too small!)
The measure of an angle is eight times the measure of its supplementary angle. What is the measure of each angle?
Step-by-step explanation: X=10 DEGREES FOR THE SMALLER ANGLE. 8*10=80 DEGREES FOR THE LARGER ANGLE.
Answer:it’s 20 and 160 I’m doing ixl and this was the correct answer.
Step-by-step explanation:
which of the following give the highest future value is 6000000 is invested at 6% for 3 years
Answer:
$5084745.76271
Step-by-step explanation:
Given data
Final amount= $6000000
Rate=6%
Time= 3 years
Now let us find the initial amount which is the principal
using the simple interest formula we have
6000000 = P(1+0.06*3)
6000000 =P(1+0.18)
6000000 =P*1.18
P= 6000000 /1.18
P=$5084745.76271
Hence the initial deposite is $5084745.76271
Make a conjecture about the diagram below. Is AC greater than, less than, or equal to BC? Explain your reasoning.
Answer:
i dont see a diagram ?
Step-by-step explanation:
Answer:
AC is greater than BC because segment AC is the hypotenuse of right triangle ABC, and the hypotenuse is the longest side of a right triangle.
3 is subtrated from 9 times 2 and 5 is added
Answer:
20
Step-by-step explanation:
9*2-3+5
18-3+5
15+5
20
Answer:
Its 20
Step-by-step explanation:
9 x 2 = 18
18 - 3 = 15
15 + 5 = 20
Can someone please help me with all these problems itd mean alot
Step-by-step explanation:
For the 1st picture,
1 unit to the left and 3 units up.
Fir the 2nd picture,
We know the 90 degree counterclockwise rule is
[tex](x) \:(y) goes \: to \: ( - y)(x)[/tex]
So our new points will be
(-1,7)
(4,8)
(-2,2)
For the 3rd picture,
The new points will be
(-10,0)
(-6,2)
(-7,-1)
For the 4th picture,
A pentagon interior angles add up to 540.
We solve for x.
I cant really see the angles but just add up all the known angles and subtract them from 540 and that should get you your answer.
For 5th picture,
Exterior angles add up to 360 for every figure, a 13 sided polygon means it has 13 exterior angles. Since this is a regular polygon, the angles will all be equal.
[tex] \frac{360}{13} = 27 \frac{9}{13} [/tex]
Which equal
27.7
Solve the solution of this inequality 4/9x-10>x/3-12