Answer: 17
Step-by-step explanation: 17
13) If AOBC is a rectangle whose three vertices are A(0,3), (0,0) and B(5,0).
Then sum of the squares of its both diagonals is units,
(a) 2root34
(b) 68
(c) 34
(d) 2root68
Answer:
(b) 68
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Diagonal:
Diagonals are a line between opposite points in a square.
In this question, it is between A(0,3) and B(5,0), and between (0,0) and (5,3). Both these diagonals have the same measure, and are the distance between these points. So
[tex]D = \sqrt{(5-0)^2+(3-0)^2} = \sqrt{5^2 + 3^2} = \sqrt{34}[/tex]
Then sum of the squares of its both diagonals is units
Both diagonals measure [tex]\sqrt{34}[/tex]. Sum of squares is:
[tex](\sqrt{34})^2 + (\sqrt{34})^2 = 34 + 34 = 68[/tex]
The correct answer is given by option b.
The nth term of a sequence is given by 2n²+1.Write down the first four terms of the sequence.
Answer:
2(1)²−1= 1
2(2)²−1= 7
2(3)²−1= 17
2(4)²−1= 31
2(5)²−1= 49
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
what is the answer to this?
Answer:
This is the answer:
330550=
What is the median of the data?
3
8
5
5.5
Answer:
Median= middle number
(Example) 1, 4 ,6, 7 ,12
6 Would be the median here
so, 3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8,
5 Is the middle number and the median
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8
Hope this helped! Please leave any questions or concerns in the comments byeee <3
Help please i dont know how to do it
Answer:
14 is D but I don't 15 question answer
A lab assistant needs to create a 600 mL mixture that is 3% hydrochloric acid. The
assistant has solutions of 1.5% and 4% in supply at the lab. Using the variables x and
y to represent the number of milliliters of the 1.5% solution and the number of
milliliters of the 4% solution respectively, determine a system of equation that
describes the situation.
Enter the equations below separated by a comma.
How many milliliters of the 1.5% solution should be used?
How many milliliters of the 4% solution should be used?
Answer:
240 ml of 1.5% solution and 360 ml of 4% solution should be used.
Step-by-step explanation:
Since a lab assistant needs to create a 600 mL mixture that is 3% hydrochloric acid, and the assistant has solutions of 1.5% and 4% in supply at the lab, to determine the number of milliliters of the 1.5% solution and the number of milliliters of the 4% solution that must be used, the following calculations must be performed:
50 x 0.015 + 50 x 0.04 = 0.75 + 2 = 2.75
40 x 0.015 + 60 x 0.04 = 0.6 + 2.4 = 3
600 x 0.4 = 240
Therefore, 240 ml of 1.5% solution and 360 ml of 4% solution should be used.
their sum is -11 and the difference is 41
Answer:
x+41=-11 I guess
Step-by-step explanation:
Work out the value of angle x
Answer:
Its an Isosceles triangle. The two bases are equal
So
x= 180-(62+62)
x=56°.
Answer:
x = 56
Step-by-step explanation:
As you can see two angles are congruent, as the two tally marks suggest so. Therefore not only does the left angle measure 62 but also the right angle does as well. Therefore, further indicating that we are dealing with an isosceles triangle in this scenario. So you would come up with the equation 62(2) + x = 180 because all the angles together add up to get you 180 degrees. So once you say 62 times 2 to get 124 you would subtract that by 180; giving you 56 degrees for x.
HELP ASAP! I will GIVE BRAINLY !! Need the whole answer please :(
Answer:
y = -1/2x + 1
Step-by-step explanation:
use 2 points to find slope, i used: (0,1) (4,-1)
m = 1-(-1) / 0-4
m = 2/-4
m = -1/2
as seen in graph, y-intercept is 1
∴ y = -1/2x + 1
Answer:
y=-2/4x+1
Step-by-step explanation:
the slope would be rise/run and y-intercept is wherever the line crosses the y-axis
Help please!!! Best answer will get brainliest!!!
HELP PLZZZ I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!
A survey found that 40% of shoppers at Max-a-mart like chocolate ice cream. If 20 shoppers like chocolate ice cream, how many people were surveyed?
a) 20
b) 30
c) 50
d) 100
which one is right please help
Anthony buys 5 boxes of cookies: Emily buys r times as many boxes of cookies as Anthony.
Which expression represents the total boxes of cookies that Anthony and Emily buy?
r +5
r + 10
5r+r
5r + 5
Answer:5r +5
Step-by-step explanation:
find any domain restrictions on f(g(x))
f(x)= square root x-3 and g(x)=x+5
Answer:
[tex]x \ge -2[/tex]
Step-by-step explanation:
The "argument" of a square root (the quantity you're finding the square root of) must be greater than or equal to 0.
[tex]f(x)=\sqrt{x-3}[/tex] requires [tex]x-3 \ge 0 \Rightarrow x \ge 3[/tex].
But in the function f(g(x)), the input to f is g(x) = x + 5, so x + 5 must be greater than or equal to 3.
[tex]x+5 \ge 3 \Rightarrow x\ge -2[/tex]
Composite functions can be confusing; one reason is the use of the same symbol, x to represent numbers from the domain of EACH function. See if it helps to call the domain of g by the name x, and the domain of f by some other name.
[tex]f(z)=\sqrt{z-3}\\g(x)=x+5\\f(g(x))=f(x+5)=\sqrt{(x+5)-3}=\sqrt{x+2}[/tex]
The square root will require [tex]x+2 \ge 0 \Rightarrow x \ge -2[/tex]
Find the area of the shape shown below. Can someone please help?
Answer:
240 units²
Step-by-step explanation:
Rectangle = 20x10=200
2 triangles = 2x1/2x4x10=40
200+40=240
Suppose that your drawer contains 8 AAA batteries but only 6 of them are good. If you randomly select 4 batteries what is the probability all 4 will work ?
Answer:
Step-by-step explanation:
[tex]P=\frac{6}{8} \times\frac{5}{7} \times\frac{4}{6} \times\frac{3}{5} =\frac{3}{14}[/tex]
Step-by-step explanation:
the probability of the 4 batterys work was %30 because if you take randomly 4 battery you take good and bad batterys and the most probability is the 4 batterys don't work or the 4 batterys work or like 1 or 2 batterys work thats why like %30 the batterys work
a sqaure pieace of platic has sides that are 3 centimeter long. what is the platic pieace of teh area? answers
Pls help me pls pls I beg you
Answer:
3/32 in³
Step-by-step explanation:
To find the volume of a rectangular prism, multiply the length, width, and height.
[tex]\frac{3}{4} *\frac{1}{2} *\frac{1}{4} =\frac{3}{32}[/tex]
Therefore, the volume is 3/32 in³.
Solve for x.
17
6
15
Answer:
x = 11
Step-by-step explanation:
Use the Secant-Secant Product Theorem. This theorem states that if two secants intersect in the exterior of a circle, then the products of the lengths of one secant segment and its external segment equal the products of the lengths of the other secant segment and its external segment. \
Use formula : (whole*outside = whole*outside)
1. Formula
WO = WO
2. Substitute variables and setup equation
7(x+7) = 6(6+15)
3. Simplify and remove parentheses
7x+49 = 126
4. Isolate and solve for (x)
7x = 77
x = 11
Answer: 11
Given:
The figure of circle and two secants from an external point.
To find:
The value of x.
Solution:
According to intersecting secant theorem: If two secants (I and II) intersect each other outside the circle then
(I secant) × (external segment of I) = (II secant) × (external segment of II)
Using the intersecting secant theorem, we get
[tex]7(7+x)=6(6+15)[/tex]
[tex]49+7x=36+90[/tex]
[tex]7x=126-49[/tex]
[tex]7x=77[/tex]
Divide both sides by 7.
[tex]x=\dfrac{77}{7}[/tex]
[tex]x=11[/tex]
Therefore, the value of x is 11.
The scores of 10 golfers were 77; 74; 78; 72; 70; 85; 71; 76; 80; 70. Calculate the mean of the dataset.
Answer:
The mean should be 75.3.
Step-by-step explanation:
[tex]\frac{77+74+78+72+70+85+71+76+80+70}{10}\\\\\frac{753}{10}\\\\\boxed{75.3}[/tex]
Hope this helps!
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The number of Internet users in Latin America grew from 40.8 million in 2009 to 85.6 million in 2016. Use the geometric mean to find
the annual growth rate. (Round your answer to 2 decimal places.)
2
points
Mean annual growth rate
S 02 21:50
References
Evaluate 9.3p + 8.7r when p=6 and r=7 .
Answer:
116.7
Step-by-step explanation:
Given: p = 6, r = 7
Plug in 6 for p, and 7 for r in the given expression:
9.3p + 8.7
9.3(6) + 8.7(7)
Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction.
First, multiply:
9.3 * 6 = 55.8
8.7 * 7 = 60.9
Next, add:
55.8 + 60.9 = 116.7
116.7 is your answer.
~
Answer:
9.3p + 8.7r when p=6 and r=7 .
substituting value
9.3*6+8.7*7
55.8+60.9
116.70is a required answer.
What is the equation for this word problem?:
Salma has 18 cars available to rent.
Last C be the number of cars she would have left after renting R of them.
Help!!!
Answer:
equation: C = 15 - R
C = 15 - 7
C = 8
Step-by-step explanation:
Okay first of all stan the karl pfp
2. Medication B is available in a liquid capsule of 150 mg per capsule. 600 mg/kg per
day is ordered for a child weighing 44 lbs. How many mgs should be given to this child
per day? How many capsules will the nurse administer to the child per day?
Answer:
12000 mg/day or 80 capsules
Step-by-step explanation:
First let's convert 44 lbs to kg. You could divide by 2.205 to get more precise answer but since 44 divides perfectly by 2.2 I don't think it's a coincidence it's meant to be rounded.
44/2.2=20 kg
600*20=12000 mg per day
12000/150=80 capsules
Seems a bit excessive but looking over my process I don't see any mistakes.
Adila sells T-shirts at a rock concert. She earns $8.00/h, plus $0.50 for each T-shirt she sells.
How many T-shirts must Adila sell to earn $80 in a 6-h shift?
Answer:
64 Shirts
Step-by-step explanation:
For 8 hrs she already earns $48 because 8*6=48. She needs $32 more from shirts to make $80. If its $0.50 per shirt it takes 64 to make $32
Wavelength and Frequency
Which component in a musical note is referred to as the pitch of a sound?
a. wavelength
b. frequency
c. time
d. distance
Please select the best answer from the choices provided
Answer:
B. Frequency
Step-by-step explanation:
I calculated it logically
Write an equivalent expression for -24 + 54n.
Answer:
30n
Step-by-step explanation:
-24+54=30×n=30n
I needed 20 more letters so ya lol
Answer:
-6 (4-9n)
Step-by-step explanation:
Choose A B C or D
State if the triangles in each pair are similar. If so, state how you
know they are similar
A) similar; SAS similarity
C) not similar
B) similar; SSS similarity
D) similar, AA similarity
Answer:
Option D
Step-by-step explanation:
From the picture attached,
m∠K ≅ m∠C [Given]
m∠L = m∠D [Given]
By AA property of similarity,
Both the triangles ΔDEC and ΔLMK are the similar triangles.
Option D will be the correct option.
A brochure from the department of public safety in a northern state recommends that motorists should carry 12 items (flashlights, blankets, and so forth) in their vehicles for emergency use while driving in winter. The following data give the number of items out of these 12 that were carried in their vehicles by 15 randomly selected motorists.
5.3 78 0 105 12 10 7 6 7 119
Find the mean, median, and mode for these data. Round your answers to two decimal places, where appropriate.
Mean items
Median items
Mode - items
Answer:
[tex]Mean = 6.07[/tex]
[tex]Median = 7[/tex]
[tex]Mode = 7[/tex]
Step-by-step explanation:
Given
[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]
[tex]n = 15[/tex]
Solving (a): The mean
Mean is calculated as:
[tex]Mean = \frac{\sum x}{n}[/tex]
This gives:
[tex]Mean = \frac{5+ 3+ 7+ 8+ 0+ 1+ 0+ 5+ 12+ 10+ 7+ 6+ 7+ 11+ 9}{15}[/tex]
[tex]Mean = \frac{91}{15}[/tex]
[tex]Mean = 6.07[/tex]
Solving (b): The median
Sort the data in ascending order:
[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]
[tex]Sorted: 0\ 0\ 1\ 3\ 5\ 5\ 6\ 7\ 7\ 7\ 8\ 9\ 10\ 11\ 12[/tex]
The median is:
[tex]Median = \frac{n + 1}{2}th[/tex]
[tex]Median = \frac{15 + 1}{2}th[/tex]
[tex]Median = \frac{16}{2}th[/tex]
[tex]Median = 8th[/tex]
The 8th item on the sorted dataset is 7; So:
[tex]Median = 7[/tex]
Solving (c): The mode
[tex]Mode = 7[/tex]
Because it has a frequency of 3 (more than any other element of the dataset).
4. John wants to cover a box entirely with silver paper. How many square centimetres
of silver paper will he need if the box measures 22 cm long, 16 cm wide, and 10 cm deep?
A. 1 464 sq.cm B.3 520 sq cm
C. 4 164 sq cm D. 5 230 sq cm
5. How many square decimetres of cardboard is needed to make a cubical soda cracker box measuring 2.5 dm on each edge?
A. 5.0 sq dm B. 6.25 sq dm C. 37.5 sq dm D. 7.35 sq dm
6. Suppose you want to produce ping pong balls with 1.5 dm radius. What is the least
amount of rubber you would need if you want to produce 10 ping pong balls?
A. 262.8 sq dm B. 272.6 sq dm C. 282.6 sq dm D. 286.2 sq dm
with solution please :(
Answer:
Let's Draw a Picture!
10 x 16 = 160, 160 x 2 = 320
22 x 10 = 220, 220 x 2 = 440
16 x 22 = 352, 352 x 2 = 704
Let's add all the given areas:
704 + 320 + 440 = 1464, A is your answer
I dont know about 6 or 5.