Answer:
6
Step-by-step explanation:
The area of the white square is 64 square units. The diagonal of the square was extended to point A until the length of segment AB was double the length of the diagonal of the square. What is the area of the gray part?
Answer:
Area of the gray region = 64 square units
Step-by-step explanation:
Area of the white square = 64 square units
Length of a side of the given square = [tex]\sqrt{\text{Area}}[/tex]
= [tex]\sqrt{64}[/tex]
= 8 units
By Pythagoras theorem,
Length of diagonal DB = [tex]\sqrt{BC^2+CD^2}[/tex]
DB = [tex]\sqrt{8^2+8^2}[/tex]
= [tex]8\sqrt{2}[/tex]
AD = DB = [tex]8\sqrt{2}[/tex] [Given]
OD = OC = [tex]\frac{1}{2}(DB)[/tex]
= 4√2
Therefore, AO = AD + OD = 8√2 + 4√2
= 12√2
Area of ΔACD = Area of ΔAOC - Area of ΔCOD
= [tex]\frac{1}{2}(AO)(OC)-\frac{1}{2}(CO)(OD)[/tex]
= [tex]\frac{1}{2}[(12\sqrt{2}\times 4\sqrt{2})-(4\sqrt{2})^2][/tex]
= [tex]\frac{1}{2}[96-32][/tex]
= 32
Therefore, area of gray part = Area of ΔACD + Area of ΔAED
= 32 + 32
= 64 square units
Answer:
64 square units
What is the measure of Arc I J K?
mArc I J K = °
Answer:
202
Step-by-step explanation:
Answer:
202
Step-by-step explanation:
The square pyramid shown below has a base with sides of 101010 units. The slant height of the pyramid is 888 units.
Answer:6.12
Step-by-step explanation:
got the answer right
Answer:
on khan the answer is 6.12
If an object has a density of 2 g/cm3, and it is placed in a tank of water, will the object float or sink in water? Explain your answer.
Answer:
The object will sink
Step-by-step explanation:
I) The density of water is 1g/cm³.
II) The object's density is greater than 1g/cm³, thus it will sink.
What is the value of x in the equation −x = 3 − 4x + 6? (5 points)
Group of answer choices
−9
−3
3
9
x=3
pls mark as brainliest
Answer:
x=3 is the answer
Step-by-step explanation:
Mark as brainliest please!
The height of a rectangle is increasing at a rate of 11 centimeters per hour and the width of the rectangle is decreasing at a rate of 9 centimeters per hour. At a certain instant, the height is 3 centimeters and the width is 8 centimeters. What is the rate of change of change of the area of the rectangle at that instant?
Answer:
-39 cm²/h
Step-by-step explanation:
The area of the rectangle is A = hw where h = height and w = width.
So the rate of change of area with respect to time is
dA/dt = d(hw)/dt
dA/dt = hdw/dt + wdh/dt
Given that at an instant h = 3cm, w = 8 cm and dh/dt = + 11 cm/h and dw/dt = -9 cm/h(negative since it is decreasing)
So, dA/dt = hdw/dt + wdh/dt
dA/dt = 3 cm × (+11 cm/h) + 8 cm × (-9 cm/h)
dA/dt = 33 cm²/h - 72 cm²/h
dA/dt = -39 cm²/h
One less than twice a number is four less than its square.
Answer:
The correct answer is 3.
factor -4x+24-4x^2completely
Answer: 4(−x+2)(x+3)
Step-by-step explanation:
−4x+24−4x^2
−4x^2−4x+24
4(−x+2)(x+3)
Write a plan to prove that angle 1 is congruent to angle 2
Answer:
alternate interior angles
Step-by-step explanation:
<1 is congruent to <2 by alternate interior angles
1st drop down answers are
1. NOT VALID
2. VALID
2nd drop down answers are
1. BIASED
2. UNBIASED
3rd drop down answers are
1. APPROPRIATE
2. INAPPROPRIATE
Answer:
uhhh i think all postive.
Step-by-step explanation:
conclusion drawings
Common denominator of 3, 4, 5.
Answer:
The LCM of 3,4,5 3 , 4 , 5 is 2⋅2⋅3⋅5=60 2 ⋅ 2 ⋅ 3 ⋅ 5 = 60 .
Step-by-step explanation:
Answer: 60
3 x 4 x 5 = 60
It’s due tonight I would appreciate the help
Answer:
-1, 4, 6, 8
k<9
Step-by-step explanation:
Two ways to do this
One is to substitute the values in for k and then see if the inequality is still true.
-1, 4, 6, 8, when substituted in for k and then multiplied by 5, will be less then 45.
9, however, does not work because 9 times 5 is 45, which makes the inequality untrue. So, k has to be less than 9.
The faster, more mathematical way is to divide both sides by 5. 5 divided by 5 is 1 and 45 divided by 5 is 9, so the new inequality would be k<9.
An elementary school wants to purchase a new swing set. The table shows the selling price of the swing sets they are interested in buying
Swing Set
Wholesale Price ($)
Adventurers
3,056
Thunder Ridge
4,125
The markup for both swing sets is 20%. The school decides to buy the Adventurers swing set. What is the selling price of the swing set they
are buying? Round to the nearest cent if necessary,
Answer: The answer is 3674.84
The selling price of Adventurers swing set is $3,667
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Example:
50% = 50/100 = 1/2
We have,
Adventurers swing set wholesale selling price = $3056
Markup means the amount increased.
20% Mark up on the price:
= 20% of 3056
= 20/100 x 3056
= $611.2
The selling price of Adventurers swing set:
= $3056 + $611.2
= $3,667.2
Rounding to the nearest cent:
= $3,667
Thus the selling price of Adventurers swing set is $3,667
Learn more about percentage here:
https://brainly.com/question/22882138
#SPJ2
Rationalize 1 plus root 2 divided by 1 minus root 2
Please help me with this.
A line segment AD, contains points B & C such that C is between A and D, and B is between A and C. If AB = 6, BD = 23, and AB = CD, find the length of segment AD.
Answer:
If you drew out this line segment with the points in the order we are given them, the segment would be labeled as a, b, c, d in that order. We are given a measure for ab, and we are also given a measure for bd with c being ignored for a minute. The entire length of the segment can be found by adding ab and bd. 6 + 23 = ad and ad = 29. So the length of the whole segment is 29. We have the length of cd given to be equal to ab, so cd = 6. ab + bc + cd = ad and we are looking for bc. Since we have the other lengths and the length of the whole segment, we fill in accordingly: 6 + bc + 6 = 29. Solving for bc we get bc = 17.
Step-by-step explanation: pls brain list
Find the surface area of the prism.
8 m
13 m
12 m
5 m
The surface area is
Answer:
2,240
Step-by-step explanation:
13*12=156
156*5=280
280*8=2,240
If my math is correct
Help! me plsssssssssssssssssssssss
Answer: The area of the composite figure is 240.
Step-by-step explanation: For the area of the rectangle, multiply the length and width. That's 20 x 10, which is 200. Now we have to find the area of the triangle. That's length x height x 1/2. 20 x 4 is 80, and then half of that is 40. Add 200 and 40 to get 240.
How many 50p’s are in £6
Answer:
12
Step-by-step explanation:
2 of, 50 pence, = 1 pound. So multiply 6 by 2, you get 12. Your answer should be 12.
Hope this helps!
Maybe brainliest?
Can some one help me with this question
Answer:
180
Step-by-step explanation:
It is always 180 for a angle like this.
Pls help me with this maths question
Answer:
567094, 567904, 576094, 576904
Step-by-step explanation:
You just have to arrange the numbers from the least value
Consider the division expression 712÷2. Select all multiplication equations that correspond to this division expression.
have fun with the question
Answer:
Step-by-step explanation:
You have not provided any equations to choose from.
712÷2 = 712×½
Answer:
712/2 is 356 is that the question
Step-by-step explanation:
hope this helps :D
A bus that is traveling north at 48 km/h slows to a stop to pick up passengers. It then begins moving again. At the next corner, it turns to the east.
a. Identify the speed of the bus.
b. Identify one example of the velocity of the bus.
c. Identify each group of words or phrases that describe acceleration of the bus.
Write the first 3 terms of the sequence 2+3
Answer:
5,10,15?
Step-by-step explanation:
???
What is the difference between the greatest and the smallest rational numbers
given below?
7/15,11/20,2/5,12/25
Answer:
The difference between the greatest and smallest rational number [tex]=\frac{3}{20}[/tex]
Step-by-step explanation:
Step(i):-
Given that the rational numbers
[tex]\frac{7}{15} , \frac{11}{20} ,\frac{2}{5} ,\frac{12}{25}[/tex]
we have to find that the difference between the greatest and the smallest rational numbers
solution:-
The greatest rational number = [tex]\frac{11}{20}[/tex]
Convert into decimal = 0.55
The smallest rational number = [tex]\frac{2}{5}[/tex]
Convert into decimal = 0.4
The difference between the greatest and smallest rational number
[tex]= \frac{11}{20} - \frac{2}{5}[/tex]
= [tex]\frac{11-8}{20}[/tex]
[tex]=\frac{3}{20}[/tex]
Final answer:-
The difference between the greatest and smallest rational number [tex]=\frac{3}{20}[/tex]
Solve the inequality below:
-3x +5-16
ALGEBRA
please help
Answer:
The answer is -14x
Step-by-step explanation:
5 - 16 = -11
-3 + -11 = -14
(all we have left is the x)
-14 + x = -14x
Answer:a
Step-by-step explanation:
Atoms are made up of subatomic particles including protons and electrons. The mass of a proton is about 1.6726 x
10-27 kg and the mass of an electron is about 9.1094 x 10-31 kg. Determine how much mass a proton and electron
has combined. Express the result in scientific notation.
O 1.6717 x 10-27
O 16,717 * 10-31
O 1.6735 x 10-27
O 16,735 x 10-31
Answer:
C
Step-by-step explanation:
I got a 100%
round the side length to the nearest tenth and angle measures to the nearest degree
Answer:
1. <A° = 50°
2. CB = 10.7
3. AB = 14
Step-by-step explanation:
1. Determination of angle A.
A° + B° = C°
B° = 40°
C° = 90°
A° + 40° = 90°
Collect like terms
A° = 90° – 40°
<A° = 50°
2. Determination of CB
Angle B = 40
Opposite = AC = 9
Adjacent = CB =?
Length CB can be obtained by using Tan ratio as illustrated below:
Tan B = Opposite / Adjacent
Tan 40 = 9 / CB
0.8391 = 9 / CB
Cross multiply
0.8391 × CB = 9
Divide both side by 0.8391
CB = 9 / 0.8391
CB = 10.7
3. Determination of AB
Angle B = 40
Opposite = AC = 9
Hypothenus = AB =?
The length AB can be obtained by using Sine ratio as illustrated below:
Sine B = Opposite / Hypothenus
Sine 40 = 9 / AB
0.6428 = 9 / AB
Cross multiply
0.6428 × AB = 9
Divide both side by 0.6428
AB = 9 / 0.6428
AB = 14
DJ Jacqueline is making a playlist for an internet radio show; she is trying to decide what 6 songs to play and in what order they should be played. If she has her choices narrowed down to 7 hip-hop, 14 pop, and 22 blues songs, and she wants to play an equal number of hip-hop, pop, and blues songs, how many different playlists are possible
Answer:
Probability of selecting two songs from each category
= (22C2)*(14C2)*(7C2)*6!
Step-by-step explanation:
The total songs in the playlist will be 6
Two songs from each playlist
Number of ways of selecting playlist
= N(select 2 from each category and then arrange the selected 6)
Probability of selecting two songs from each category
= (22C2)*(14C2)*(7C2)*6!
If you invest $5,000 into an account paying 6% interest compounded
continuously, how many years will it take until there is $8,000 in the account?
6.83 years
7.83 years
8.67 years
9.67 years
Answer: 7.83 years
:)))