[tex]∠BAD≈65.22°[/tex]
Step-by-step explanation:Note:
The following formula is tan formula:
[tex]tan(\theta)=\dfrac{opposite}{adjacent}[/tex]
1) Finding the tan of ∠BAC
[tex]tan(\theta)=\dfrac{4}{5}[/tex]
[tex]\theta=tan^-1(\dfrac{4}{5})[/tex]
2) Finding the tan of ∠CAD
[tex]tan(\theta)=\dfrac{3}{6}[/tex]
[tex]\theta=tan^-1(\dfrac{3}{6})[/tex]
3) Add the value of ∠BAC to the value of ∠CAD
[tex]tan^-1(\dfrac{4}{5})+tan^-1(\dfrac{3}{6})≈65.22°[/tex]
4) The sum of interior angles in quadrilateral is 360°
Then
[tex]tan(∠BAC)+tan(∠ACB)+tan(∠CAD)+tan(∠ACD)=360°[/tex]
[tex]tan^-1(\dfrac{4}{5})+tan^-1(\dfrac{5}{4})+tan^-1(\dfrac{3}{6})+tan^-1(\dfrac{6}{3})=180°[/tex]
[tex]180°+∠CDA+∠CBA=^?360[/tex]
[tex]180°+90°+90°=^?360°[/tex]
[tex]360°=360°[/tex]
Naeema and Giovanna want to see who can run farther in 5 seconds. Naeema ran 9 yards and 8 inches. Giovanna ran 30 feet. Who ran farther? How much farther did they run?
Answer:
giovanna ran farther because naeema ran 9 yards and 8 inches and 9 yards is 27 feet so she ran 27 ft 8 in therefore giovanna ran farther
Step-by-step explanation:
30>27
solve this asap
Given that <ABD= 42°, <EFD= 81° and <BCF= 60°, find the value of the unknown.
solve by using corresponding, alternate and interior angles method.
Step-by-step explanation:
angle G = 81°
angle CFG = 60°
total angle inside CFG = 180
a+81+60=180
a=39°
In DBCF
Total angle is 360
60+39+138+b=360
b=134°
hope its right :)
Is kilobyte bigger than megabyte.
Answer:
no
Step-by-step explanation:
1 kilobyte = 1000 byte
1 megabyte = 1,000,000 byte
1 kilobyte = 1/1000 megabyte
Answer: no
Answer:
NO!!!! Kilobyte isn't BIGGER than MegabyteStep-by-step explanation:
Here's the table:
1 Kilobyte = 1,024 Bytes
1 Megabyte = 1,024 Kilobytes
1 Gigabyte = 1,024 Megabytes
1 Terabyte = 1,024 Gigabytes
From the table, we can see that Megabyte is bigger than Kilobyte
Using the quadratic regression model, which is the best estimate of the profit when 350 pounds of food are produced? $5,150 $5,300 $10,150 $11,000
The best estimate of the profit when 350 pounds of food are produced is $5300
How to determine the best estimate?The quadratic regression is given as:
[tex]f(x) = -0.0817x^2 + 102.24x - 20421[/tex]
When 350 pounds are produced, it means that:
x = 350.
So, we have:
f(350) = -0.0817(350)^2 + 102.24(350) - 20421
Evaluate
f(350) = 5354.75
Approximate
f(350) = 5300
Hence, the best estimate is $5300
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What is a diameter and what is a radius?
Radius is the length of the line segment from the center of the circle to an endpoint on the circle and diameter is twice the length of the radius of the circle.
use the method of elimination to find the equation of the line in y=mx+b form, that passes through each set of points (3,10) and (5,18)
Answer:
The answer is y=4x-2
Step-by-step explanation:
i just need the edges, correct answer gets brainliest
Answer:
28
Step-by-step explanation:
counting all the lines pretty much
Answer:
its 8x3 for edges so 24 and its 8x2 for vercicles its 16 but for the faces its 8+2 = 10 so you are chillin :)
In the set of scores: 14, 17, 10, 22, 19, 24, 8, 12, and 19, the Q2 is?
15
17
16
13
Answer:
17
Step 1: rerrange the data
8 , 10, 12, 14, 17, 19, 19, 22, 24
Q2 is the median
see that the middle number is 17
James bought a movie ticket for $4.05. He
paid the movie ticket with quarters and
dimes. If James used 18 coins in all, how
many quarters (q) and dimes (d) did he use?
q+d=18
Please answer fast!!! Will give Brainliest!!!
Answer This Question For 5 Pts!
Hello!
First we should figure out what 7 x 800 is.
7x800 is 5,600.
Next, start step 1.
7 x 8 is already 56, so you would multiply 1 in the box
(7x8x1)
Second, step 2.
56 x 100 is 5,600, so you would put 100 in the box.
(56x100)
Finally, step 3.
Put your total in the box
(TOTAL: 5,600)
Hope this helps!
~~~PicklePoppers~~~quanto é 756 dividido por 63
Answer:
the answer is 12
Step-by-step explanation:
[tex] \frac{756}{63} \\ = 12[/tex]
Can someone help me with this question?
A bag contains 12 movie tickets and 8 concert tickets. You randomly choose 1 ticket and do not replace it. Then you randomly choose another ticket. Find the probability that both events A and B will occur. Round your answer to the nearest tenth.
Event A: The first ticket is a concert ticket.
Event B: The second ticket is a concert ticket.
about ___%.
To solve this problem, we have to understand probability without replacement and consider the two events happening. The probability that both events occurs is 14%
Probability without replacementTo solve this problem, let's write down the data given;
Data;
Movie Ticket = 12Concert Ticket = 8But we are asked to calculate the probability that both times we pick both tickets, it would be a concert ticket.
Total number of tickets =
[tex]12 + 8 = 20[/tex]
Let's proceed for the first event
[tex]P = \frac{8}{20}= \frac{2}{5}[/tex]
The probability the second event occurs will be
[tex]P = \frac{7}{20}[/tex]
The probability both events occur will be
[tex]P = P_a * P_b = \frac{2}{5} * \frac{7}{20} = \frac{7}{50} =0.14 = 14\%[/tex]
The probability that both events occurs is 14%
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Is this an expression or equation
a•b=c
Answer:
both technically, but it would be an equation, cause you can use substitute of any number in place of A and B, to find C
Find the distance between $\frac{13}{3}$ and $\sqrt{\frac{16}{9}}$ on a number line. The distance is unit.
[tex]\cfrac{13}{3}~~ - ~~\sqrt{\cfrac{16}{9}}\implies \cfrac{13}{3}~~ - ~~\cfrac{\sqrt{16}}{\sqrt{9}}\implies \cfrac{13}{3}~~ - ~~\cfrac{4}{3}\implies \cfrac{13-4}{3}\implies \cfrac{9}{3}\implies 3[/tex]
5-16 find the general indefinite integral.
8. [tex]\int\left(u^{6}-2 u^{5}-u^{3}+\frac{2}{7}\right) d u[/tex]
[tex]\displaystyle\int \left( u^6 - 2u^5 - u^3 + \cfrac{2}{7} \right)du\implies \cfrac{u^7}{7}-2\cdot \cfrac{u^6}{6}-\cfrac{u^4}{4}+\cfrac{2}{7}u \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{u^7}{7}- \cfrac{u^6}{3}-\cfrac{u^4}{4}+\cfrac{2u}{7}+C~\hfill[/tex]
A child is playing a card game where, if she does not
have a red card in her hand, she must draw cards from
the deck, and keep the cards she draws, until she
draws a red card.
is it appropriate to use the geometric distribution to
calculate probabilities in this situation?
o yes, the geometric distribution is appropriate.
o no, since each trial is not independent of the other
trials
o no, because it is not looking for the first occurrence
of success.
o no, since a success and failure on each trial cannot
be defined
The probability of choosing the red card will be 0.03%
What is probability?
In this situation, Mickey should have drawn the first 7 cards that are not diamond and then on the 8th attempt she should draw an ace.
Let A be the event of drawing 7 cards which are not diamond and B the event of drawing an ace card. therefore the required probability is
P(A∩B)=P(A)*P(B)
Now, there are 13 diamonds and 39 other cards. Hence,
P(A)=(13/39)⁷=0.1335
After drawing 7 non-diamond cards, the 8th card must be a diamond. Hence,
P(B)=0.25
Hence, P(A∩B)=P(A)*P(B)=0.1335*0.25=0.033(approximately 0.03,i.e. 3%)
Therefore the probability that Mickey will draw her first red diamond on the 8th attempt is 0.03%
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Miguel plots points a, b, and c in the coordinate plane. what is the distance
between points a and b?
a(-3,2)
b(-6,-2)
c(0,-2)
The distance between a and b is 5 units.
What is an Equilateral Triangle?An equilateral triangle has three sides that have the same length. The triangle is defined as the plane two-dimensional figure with three sides having the sum of the three angles of 180 degrees.
Since the figure is missing in the question so I have attached the figure of the points on the graph for better understanding.
The given coordinates are as follows:-
a (-3, 2)
b (-6, -2)
c (0, -2)
Use the distance formula,[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] , to find ab.
ab = √[(−6−(−3))² + (−2−2)²]
ab = √25
ab = 5 units
Therefore the distance between A and B is 5 units.
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A triangle has sides with lengths of 8 kilometers, 11 kilometers, and 12 kilometers. Is it a
right triangle?
yes
no
find the value of x PLS HELP I WILL GIVE BRAINLIEST if its right :D
Answer:
x=21
Step-by-step explanation:
For simplicity's sake, I started by naming the angles. Please reference the attachment.
For this, we're using parallel lines with one intersecting line (transversal) to give us valuable information about the angles.
First, based on the Corresponding Angles Theorem, corresponding angles, such as A and B, are congruent.
This means that angle B can also be represented by the expression 6x-19.
Furthermore, since angles B and C are on the same line, they must be supplementary, meaning that they add up to 180 degrees.
This said, we can set up an equation to solve for x because B+C=180
6x-19+3x+10=180
Combine Variables
9x+10-19=180
9x-9=180
Add 9 to both sides to isolate x
9x=189
Divide both sides by 9
x=21
This problem could have also been solved with various other theorems such as, but not limited to:
Keep in mind a prerequisite for all of these theorems except the vertical angles theorem are that it must be for a transversal cutting/intersecting 2 parallel lines.
The Alternate Exterior Angles Theorem states that alternate exterior angles are congruent (A and D)
The Alternate Interior Angles Theorem states that alternate interior angles are congruent (C and E)
The Vertical Angles Theorem states the vertical angles- angles across from each other- are congruent (B and D)
The Same Side Exterior Angle Theorem states that same side exterior angles supplementary (A and F)
The Same Side Interior Angle Theorem states that same side interior angles are supplementary (E and B)
Please let me know if you have any questions!
Help me with 2 please and thank you
Answer:
See below
Step-by-step explanation:
The terms that can be used to best describe the relationship between 60 degree angle and the angle labelled y degree is:
Vertically opposite angles.Equal angles.Angles equating to 60 degree.Since vertically opposite angles are equal, y° = 60°.
[tex]\rule[225]{225}{2}[/tex]
Answer:
Vertical angles
Step-by-step explanation:
The 60° angle and the angle marked y° are vertical angles. Vertical angles are equal. They are formed by two lines crossing (intersecting lines) I like to think of them like a pair of scissors, opening and closing! The angles get bigger or smaller together. The angle marked x° and the unmarked angle are another pair of vertical angles.
First one to answer, i will mark brainlist
Answer:
Sides in descending order: YZ > ZX > XY
Step-by-step explanation:
Sum of all angles of triangle = 180
104 +52 + ∠Z = 180
156 + ∠Z = 180
∠Z = 180 - 156
Z = 24
The sides opposite to the biggest is the longest side.
Angles in descending order: ∠X > ∠Y > ∠Z
Sides in descending order: YZ > ZX > XYFind another angle
m<Z
180-(104+52)180-15624°We know higher the angle measure higher the opposite side and vice-versa
Here
X>Y>ZHence
YZ>XZ>XYWhat shape does the net form
Answer:
The correct answer is cone.
Step-by-step explanation:
Hope this helps:) Goodluck!
A cone has a volume of 471cm. If the radius of the cone's base is 5cm what is the height of the
cone? (Round to the tenths place.)
(use 3.14)
Answer: the height is 18 cm.
Step-by-step explanation:
The equation for the volume of a cone is the following: V = 1/3 × B × h, where B (base) = πr². Because we are given the radius of the base, but not the base’s area itself, we will use V = 1/3πr²h.
Here, we are trying to solve for h, the height, so first we can first rearrange the equation to solve for h:
1) V = 1/3πr²h
2) h = V ÷ 1/3πr² (divide both sides by 1/3πr²h)
Now, we just need to input the given values: V = 471, π = 3.14, r = 5
h = 471 ÷ 1/3(3.14)(5²)
= 471 ÷ 1/3(3.14)(25)
= 471 ÷ 1/3(78.5)
= 471 ÷ (78.5/3)
= 18 cm
What is the approximate solution to this equation? 4inx-8=12
Answer:
[tex]x=e^5\approx148.413[/tex]
Step-by-step explanation:
[tex]4\ln x-8=12\\\\4\ln x=20\\\\\ln x = 5\\\\x=e^5[/tex]
HELP PLEASE. PLEASE DRAW AN EXAMPLE OF ANSWER 100 points !!!
As all sides are equal it's equitorual hexagon
An inscribed hexagon is best fit for construction
Steps
Draw a circle of radius rPut compass and take radius measure.Draw one. mark then draw 6 marks on circle one after other of measure r Connect 6 marks .Done ! We created
you can erase the circle later on
Answer:
Attachment 1
Take a compass and adjust it so that it is the width of line r.
Place the point of the compass on the left point of line r and draw a circle going through the right point of line r with radius r.
Attachment 2
Take a ruler, place it so it is against line r and extend the line r across the width of the circle (this is the diameter of the circle).
Attachment 3
Place the point of the compass on the right point of line r and draw a circle (blue circle).
Place the point of the compass on the left of the diameter and draw a circle (orange circle)
Attachment 4
The points of intersection of the 3 circles are the vertices of the hexagon.
Attachment 5
Join the points of intersection with line segments - this is your hexagon with sides equal to r.
(If necessary, erase the circles to show the hexagon only.)
Graph the linear equation y=2/3x-5
Answer:
As the given equation is a linear equation, to graph it, we simply need to calculate two points on the line, plot these points, then draw a straight line through them.
Given equation:
[tex]y=\dfrac{2}{3}x-5[/tex]
Calculating two points on the line:
[tex]\textsf{when }\: x=0 \implies \dfrac{2}{3}(0)-5=-5 \implies (0,-5)[/tex]
[tex]\textsf{when }\: x=6 \implies \dfrac{2}{3}(6)-5=-1 \implies (6,-1)[/tex]
Plot these points and draw a straight line through them (attached).
Pls help with this thx
Write a cosine function that has an amplitude of 2, a midline of 5 and a period of T.
phase shift is 0
General equation
y=AcosB(x-C)+Dc is phase shift
y=AcosBx+DMidline is D
y=AcosBx+5A is amplitude
y=2cosBx+5B is period
2π/TSo
Final equation
y=2cos(2πx/T)+5Not mandatory from now
For some special cases 2π/T=omega
So Equation yields
y=2cos([tex]\omega x[/tex])+5Answer:
[tex]f(x)=2 \cos (2x)+5[/tex]
Step-by-step explanation:
The cosine function is periodic, meaning it repeats forever.
Standard form of a cosine function:
f(x) = A cos(B(x + C)) + D
A = amplitude (height from the mid-line to the peak)2π/B = period (horizontal distance between consecutive peaks)C = phase shift (horizontal shift - positive is to the left)D = vertical shiftGiven:
Amplitude = 2 ⇒ A = 2[tex]\sf Period=\pi \implies \dfrac{2 \pi}{B}=\pi \implies B=2[/tex]mid-line = 5 ⇒ D = 5Inputting the given values into the standard form:
[tex]\implies f(x)=2 \cos (2x)+5[/tex]
Which box and whisker plot accurately shows the data set below
3rd
Step-by-step explanation:
i am not sure though so confirm it
Answer:
Its the THIRD choice.
Step-by-step explanation:
The values in ascending order are:
6 6 7 9 11 14 15 15 17 19 21 23 23 23 28 31
So the median = (15+17)/2 = 16.
The lowest and highest values are 6 and 31.
The lower quartile is 10.
The upper quartile is 23.
How is adding integers similar to adding whole numbers? How is it different?
Answer:
an integer is a whole number so adding integers is the same as adding whole numbers