Answer:
6.5
Step-by-step explanation:
In this question, we are tasked with calculating the mean temperature for the first 8 days.
since we we have the mean temperature for the first 7 days, the total temperature is thus 7 * 6 = 42
Now, on the 8th day, temperature is 10, this brings total temperature to 42 + 10 = 52
The mean temperature for the first 8 days ys therefore; 52/8 = 6.5
prove the trig identity: tan^2 x cos^2 x = (sec^2 x -1)(1-sin^4 x)/1+sin^2 x
Answer:
See steps below
Step-by-step explanation:
We need to work with each side of the equation at a time:
Left hand side:
Write all factors using the basic trig functions "sin" and "cos" exclusively:
[tex]tan^2(x)\,cos^2(x)=\frac{sin^2(x)}{cos^2(x)} cos^2(x)=sin^2(x)[/tex]
now, let's work on the right side, having in mind the following identities:
a) [tex]sec^2(x)-1=tan^2(x)=\frac{sin^2(x)}{cos^2(x)}[/tex]
b) [tex]1-sin^4(x) =(1-sin^2(x))\,(1+sin^2(x))[/tex]
c) [tex]1-sin^2(x)=cos^2(x)[/tex]
Then replacing we get:
[tex]\frac{(sec^2(x)-1)\,(1-sin^4(x))}{1+sin^2(x)} =\frac{sin^2(x)(1+sin^2(x))(1-sin^2(x))}{cos^2(x)(1+sin^2(x)))} =\frac{sin^2(x)(1+sin^2(x))\,cos^2(x)}{cos^2(x)(1+sin^2(x)))}=sin^2(x)[/tex]
Therefore, we have proved that the two expressions are equal.
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a blue marble is 1/9 There are 45 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.
Answer:
40
Step-by-step explanation:
Since the probability to choose a blue marble is 1/9, there must be 5 blue marbles since 45 * 1/9 = 5
Subtract 5 from 45 to get 40, since the rest of the marbles are red.
Which is a counterexample for the following statement?
The sum of two numbers is smaller than the product of the same numbers.
–2 and –8
–1 and –3
1 and 3
2 and 8
Answer:
2 and 8
1 and 3
Step-by-step explanation:
statement a+b < a*b
-2 + -8 < -2 * -8 => -10 < 16 TRUE
-1 + -3 < -1 * -3 => -4 < 3 TRUE
1+3 < 1*3 => 4 < 3 FALSE
2 + 8 < 2 * 8 => 10 < 16 FALSE
A rectangular laundry hamper is 3 1⁄4 feet tall, 2 1⁄3 feet long, and 1 5⁄6 feet wide. What is the volume of the laundry hamper? *
Answer:
V = 13 65⁄72 ft3
Step-by-step explanation:
V = 13⁄4 ft × 7⁄3 ft × 11⁄6 ft
V = 1,001⁄72 ft3
V = 13 65⁄72 ft3
PLS HELP WILL BE MARKED BRAINLIEST
Answer:
-23, 5
Step-by-step explanation:
JK = 14 and K = -9
J could be on the left or the right of -9
Add 14 to -9
14+-9 = 5
So J could be at 5
Subtract 14 from -9
-14-9 = -23
An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b. This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a+b=15.7 can be used to find the side lengths. If one of the longer sides is 6.3 centimeters, what is the length of the base?(in cm)
Answer:
3.1 cm
Step-by-step explanation:
i did it on edge 2021
The table represents a linear function.
Answer: -6
Step-by-step explanation:
To find the slope, you can take any 2 coordinates. Let's use (0,-4) and (1,-10).
The formula to find slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. We can fill it in with our coordinates.
[tex]\frac{-10-(-4)}{1-0} =\frac{-6}{1}[/tex]. Our slope is -6.
Roxanne has $80 in a savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much will she have in 3 years?
2. Um avião levanta voo de um solo segundo ângulo igual a 30º. Com uma velocidade de 100m/s em 1 minuto a altura máxima atingida pelo avião foi igual a:
Answer:
height = 3000m
Step-by-step explanation:
In order to calculate the height reached by the airplane, you first calculate the distance traveled by the airplane in one minute. The distance is given by:
[tex]d=vt[/tex] (1)
v: speed of the airplane = 100m/s
t: time = 1 min = 60 s
you replace in the equation (1):
[tex]d=(100m/s)(60s)=6000m[/tex]
The distance traveled by the airplane while it is going up, can be considered as a hypotenuse of a rectangle triangle.
The angle at which the airplane started to fly was 30°. Then, you can use the following trigonometric relation to calculate the height:
[tex]sin(30\°)=\frac{height}{d}\\\\height=dsin(30\°)=(6000m)sin(30\°)=3000m[/tex]
hence, the height reached by the ariplane is 3000m
Hi please help me it’s so important!!
Figure 2 was constructed using figure 1. On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 is in quadrant 1 and sits on the x-axis with a point at (0, 0). Parallelogram 2 is in quadrant 4 and sits on the y-axis with a point at (0, 0). Parallelogram 1 is rotated 270 degrees counter-clockwise to form parallelogram 2. For the transformation to be defined as a rotation, which statements must be true? Select three options. The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2). The transformation is rigid. Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2. Segment CP is parallel to segment CP'. If figure 1 is rotated 180° about point C, it will be mapped onto itself.
Answer:
"Rotation" means turning around a center: The distance from the center to any point on the shape stays the same.Every point makes a circle around the centre.
The Figure 2 was constructed using figure 1.Among all the given options those which apply for the transformation to be defined as a rotation are :
A)The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2)
(B)The transformation is rigid.
(C)Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.
(E)If figure 1 is rotated 360° about point C, it will be mapped onto itself.
Options A,B,C,E are the correct ones.
Answer:
A B CStep-by-step explanation:
did edge test said to pick 3
Please help me solve this question
Answer:
1.96
Step-by-step explanation:
a^2 + b^2 = c^2
4.6^2 + b^2 = 5^2
21.16 + b^2 = 25
b^2 = 3.84
b = 1.959591
One pipe can empty a tank in 45 minutes while a second pipe can empty it in 60 minutes. If both pipes are opened at the same time, how long will it take to drain the tank?
Answer:
It will take 25.7 minutes when they are working together
Step-by-step explanation:
Here, we want to know how long it will take both pipe working together to drain the tank
Let the volume of water to be drained be xL
for the first one, rate is
x/45 L/minutes
for the second x/60 L/minutes
Joint rate will be
x/45 + x/60 = 4x + 3x/180 = 7x/180
Now go get the time involved here, we simply divide the volume by the rate
That would be;
x divided by 7x/180
= x * 180/7x
= 180/7 = 25.7 minutes
Which graph represents a proportional relationship?
Answer:d
Step-by-step explanation:
Answer:
Step-by-step explanation
last question of the day and then i am finished, plz help, brainliest will be given
Answer:
72 / period of time which is 2 = 36
36 / 3% = 36 / 0.03 = 1200
1200 is your answer
Now double check
1200 x 0.03 = 36
36 x 2 = 72
Hope this helps 1200 is your answer
Step-by-step explanation:
How do I solve this problem?
Answer:
KN = 72
Step-by-step explanation:
ΔKPL and ΔKNM are similar.
∠KLP = ∠KMN (Because PL and NM are parrallel)
∠KPL = ∠KNM (Because PL and NM are parrallel)
∠NKM = ∠PKL (Same angle, Common)
Now, Both the trianlges are similar just there is a size difference.
First we need to find scale factor, therefore:
[tex]\frac{KL}{LM}[/tex] = [tex]\frac{11}{55}[/tex] = [tex]\frac{1}{5}[/tex]
Now we know the scale factor is [tex]\frac{1}{5}[/tex] therefore:
[tex]\frac{KP}{PN}[/tex] = [tex]\frac{PK}{60}[/tex]
To find PK we times 60 by [tex]\frac{1}{5}[/tex] therefore:
Answer is 12
Now KN is PK+ PN threfore:
KN is 72
Please mark as brainliest if found useful!
Thanks!
Solve the system by substitution.
9y = 2
- 4x +y = -35
Answer:
Step-by-step explanation:
9y=2
-4x+y=-35
____________
-4x=-y-35
-4x+35=-y
4x-35=y
____________
9(4x-35)=2
36x- 315=2
36x=317
x=8.8055555555555555555555555555555555 you get the idea
If the measure of arc CD = 143°, and the measure of arc AB = 39°, what is m∠ DEC ?
88°
89°
90°
91°
Answer:
91
Step-by-step explanation:
You add the two measures of the intercepted arcs and divide by 2 to get the measure of the central angle.
Hope this helped!! Please leave a rating and/or mark me the BRAINLIEST!!! Thank You :)
Answer:
91
Step-by-step explanation:
You add the two measures of the intercepted arcs and divide by 2 to get the measure of the central angle.
Hope this helped!! Please leave a rating and/or mark me the BRAINLIEST!!! Thank You :)
Find the coordinates of M' after a reflection of the triangle across the parallel lines; first across the line y = -3 and then across y = 2. Answer in (a, b) form. Part 9a
===============================================================
Explanation:
The first step is to locate point M. It is at (-3, -5). Ignore the other points as your teacher is not asking to transform them.
Reflecting point M over the line y = -3 will have us move 2 units up to arrive at the line of reflection, and then we move 2 more additional units up to get to N = (-3, -1).
Now reflecting point N over the line y = 2 will have us move (-3,-1) three units up to get to the line of reflection, and then we move up another 3 units to get to P = (-3,2) which is the last stop. This is also the location of point M'.
See diagram below.
--------
Extra info: Overall, those two reflections combine to a translation of shifting 10 units up. Algebraically, we can write the translation rule [tex](x,y) \to (x,y+10)[/tex]. Two reflections only turn into a translation if and only if the lines of reflection are parallel.
two similar solids a and b are shown solid a has a volume of 60cm3
Answer:
A) 480cm^3
B) 35 cm^2
Step-by-step explanation:
Given two similar solids
Volume of A = 60cm^3
Surface area of B = 140cm^2
Side A = 3
Side B = 6
NB: if two solids are similar, the ratio of their volume equals the cube of the corresponding proportion of their linear measure.
That is :
Volume A / volume B = (side A / side B)^3
(60 / volume B) = (3 / 6)^3
(60 / volume B) = (1/2)^3
(60 / volume B) = (1/8)
Volume B = 480cm^3
B) the surface area:
NB: if two solids are similar, the ratio of their surface areas equals the square of the corresponding proportion of their linear measure.
Surface area A / surface area B = (side A / side B)^3
(surface area A / 140) = (3 / 6)^2
(surface area A / 140) = (1/2)^2
(surface area A / 140) = 1/4
4 × surface area A = 140
Surface area A = 140/4
Surface area of A = 35cm^2
Answer:
A=480
B=35
Step-by-step explanation:
What does the range of data tell you
Answer:
The range can only tell you basic details about the spread of a set of data. By giving the difference between the lowest and highest scores of a set of data it gives a rough idea of how widely spread out the most extreme observations are, but gives no information as to where any of the other data points lie.
Step-by-step explanation:
Can someone please help me on this question
Answer:
124 students
Step-by-step explanation:
let number of boys be 11x and girls be 9x.
A.T.Q 124 more boys than girls
equation=
11x = 9x + 124
11x- 9x = 124
2x = 124
x = 124/2 = 62
boys= 62 * 11 = 682
girls= 62 * 9 = 558
total = 558+682 = 1240 students
question is attached
f ( x ) = x² + 144
=> x² + 144 = 0
=> ( x + 12 ) ( x - 12 ) = 0
=> x + 12 = 0 and x - 12 = 0
=> x = -12 and x = 12
So,the zeroes of f are -12 and 12 .
Consider the diagram. Planes Q and R intersect. Lines d and c are vertical on plane R and form a right angle with line B on plane Q. Line B is horizontal on plane Q. Line a is slightly diagonal on plane Q. Lines a and c are coplanar. parallel. perpendicular. skew.
Answer:
D) no, because they are skew
Step-by-step explanation:
just did the assignment on edge 2020
hope this helps :)
Answer:
d
Step-by-step explanation:
Can anyone ples help meh
Answer:
Step-by-step explanation:
What do u need help with? I might be able to help you out :)
In right triangle DEF, mE = 90, DE = 8, EF = 15, and FD = 17. What is the value of tan F?
Answer:
The value of tan F = 8/15 or 0.533333
Step-by-step explanation:
To find the value of tan F, we will follow the steps below;
We will use trigonometric ratio. that is;
SOH CAH TOA
sin Ф = opposite / hypotenuse
cosФ = adjacent/hypotenuse
tan Ф = opposite/adjacent
if Ф = F
then opposite = DE = 8
adjacent = EF = 15
web can now proceed to insert the values into the formula
tan F = opposite/ adjacent
tan F = 8/15
tan F = 0.5333
tanF = oppos
Which graph best shows the solution to the following equation?
Answer:
c
Step-by-step explanation:
Nikhi gets paid a 5 percent commission on every pair of shoes that he sells. He earned $1.00 on the last pair of shoes that he
sold. The expression that can be used to represent, the price of the shoes, is 0 05=1 What was the price of the shoes?
A=$5.00
B=$10.00
C=$20.00
D=25.00
Plz Help Me
In circle O, and are diameters. Arc ED measures 17°. What is the measure of ? 107° 180° 253° 270°
CHECK THE COMPLETE QUESTION AND ITS ATTACHMENT BELOW
circle O, and are diameters. Arc ED measures 17°. Circle O is shown. Line segments F C and A E are diameters. Line segments C O and B O are radii. Point B is between points A and C, and point C is between points E and C. Angle D C is a right angle. What is the measure of Arc E F C? 107° 180° 253° 270°
Answer:
Arc EFC = 253°
Step-by-step explanation:
From the attachment, we know we are dealing with a circle which has
360 degrees.
If we check that attachment we can deduced that we have
Arc EFC
Arc CD
Arc DE
And everything together give us 360,
Arc EFC + Arc CD + Arc DE = 360
It an established rule that the central angle of an intercepted arc is equal to the measure of the arc, then if we check the figure again,
Arc CD is 90 degrees since the central angle is 90 degrees given
Arc DE is 17 degrees
Arc EFC + Arc CD + Arc DE = 360
If we input all the figures
Arc EFC + 90 + 17 = 360
Arc EFC + 107 = 360
Arc EFC = 360 - 107
Arc EFC = 253
Thefore, Arc EFC = 253°
Answer: c 253
egde 23
Step-by-step explanation:
What is equivalent to 16 3/4 x
Answer:
the answer
the question is not very clear,
its complement may be Which is equivalent to 16 ^ 3/4x?
-4√16^3x
-4√16^3
-3√16^4x
-3√16^4
perhaps the 16 3/4x should be written as [16 ^ 3] / 4x, or 16 ^ (3 / 4x)
or - [16 ^ (3 / 4)] x
If the question is [16 ^ 3] / 4x, then none of the choices is equivalent to this
if the question is 16 ^ (3 / 4x), it is equivalent to 4x-th root of 16^3
so if the question is - [16 ^ (3 / 4)] x
so - [16 ^ (3 / 4)] x =( - 4√16^3)x it is 4th root of 16^3 times x
so the choice is -4√16^3x
Step-by-step explanation:
