Answer:
The distance between corner to corner is equal to √10 times the width.
D = √10*W
Step-by-step explanation:
For a rectangle of length L and width W, the distance between two opposite corners can be calculated if we use the Pythagorean's theorem, where we can think on the length as one cathetus, the width as another cathetus and the diagonal as the hypotenuse.
Then the length of the diagonal is:
D^2 = L^2 + W^2
D = √( L^2 + W^2)
In this case we know that the length is 3 times the width, then:
L = 3*W
Replacing this in the equation for the diagonal we have:
D = √( (3*W)^2 + W^2) = √( 9*W^2 + W^2)
D = √( 10*W^2) = √10*√W^2 = √10*W
D = √10*W
The distance between corner to corner is equal to √10 times the width.
need help asap hurry
Answer:
4(x+5)
Step-by-step explanation:
according to your question
Find (f+g)(x).
f(x) = 1
-
x
g(x) = x^2 + 2x-5
Answer:
(f + g)(x) = x² + x - 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = 1 - x
g(x) = x² + 2x - 5
(f + g)(x) is f(x) + g(x)
Step 2: Solve
Substitute in functions: (f + g)(x) = (1 - x) + (x² + 2x - 5)Combine like terms (x): (f + g)(x) = x² + x - 5 + 1Combine like terms: (f + g)(x) = x² + x - 4Points that two lines pass through are given in the table. Match each point of intersection to the correct pair of lines.
(2, 0)
(-1, 3)
(1, 0)
(-1, -3)
(0, 2)
(-3, -1)
Answer:
(2,0)(0,2
(-1,-3)(-3,-1)
(-1,3) (1,0)
Step-by-step explanation:
Find the next two terms in
the sequence 11, 7, 3,-1,
Answer:
The next term will be -5.
Step-by-step explanation:
This is actually an AP with a = 11 and common difference d = -4.
Therefore next term will be -1 - 4 = -5
Answer:
Step-by-step explanation:
The numbers in this sequence come by subtracting 4 so
11, 7, 3, - 1, - 5, - 9, - 13
What should you do first when you simplify the expression below? (5+4)x3
Answer:
5 + 4 snice it's inside the circle and when you get your answer you times it with 3
Step-by-step explanation:
( 5 + 4 ) x 3
9 x 3
27
(5+4) x 3 = 27
Please help me with the first half
Answer:
a) 12:45 am
b) 7:30 pm
c) 20:15
d) 0:00
Step-by-step explanation:
a) We know that the 24-hour clock has no "am" or "pm" because in a day, there are 24 hours, so "pm" would simply be more than 12 hours.
The 12th hour marks noon, which is "12:00 pm" in 12-hour times. Anything after that would start from 1 and would be marked with a pm.
So 12:45 in 12-hour format would be 12:45 pm because it's passed the noon-mark, which is the 12th hour. Anything after noon would be marked with a "pm."
b) Same thing here: 19:30 has also passed the noon mark, the 12th hour. It would be marked with a "pm."
But there is no "19 'o clock" in 12-hour format (hence the 12-hour 12 hours). So to find that, we know that it has already passed noon. We can subtract to find how many hours it has passed noon:
19 - 12 = 7
So it's the 7th hour.
So it would be 7:30 pm.
c) Because there is no "am" or "pm" in the 24-hour clock, we have to see how many hours past noon it has been.
8:15 pm means it has passed noon by 8 hours and 15 minutes. So we add this to the noon mark (first 12 hours of the day).
12 + 8 = 20
This is our hours. We can attach it to the minutes: 20:15.
d) Midnight in 12-hour terms would be 12:00 am. It would be officially the next day, and it's a reset button.
If it were Saturday today, and it's 11:59 pm, it's still Saturday. But once that clock turns 12:00 pm, it's Sunday.
This means that no time has passed during Sunday yet—it just reset.
So it would be 0:00 because no time has passed officially on Sunday yet.
HELP PLEASE AND ASAP!! look at screenshot (10 pts)
Answer:
C
Step-by-step explanation:
Add like terms to get
4.5a + 4b + 3.5c
Determine if the triangles are similar. If yes, state how (by AA~ SSS~, or SAS~) and complete the similarity statement
Answer:
Similar by: SAS
∠LMQ = ∠PMKLM/PM = QM/KMΔPKM ~ ΔLQM
Yes, the triangles PMK and LMQ are similar by SAS similarity statement.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
The triangles PKM and triangle LMQ are the similar triangles.
If two sides and the included angle in one triangle are congruent to two sides and the included angle in another triangle, then the two triangles are congruent
Both the triangles have a common angle M and two sides are proportional
∠LMQ = ∠PMK
The sides are proportional
LM/PM = QM/KM
The triangles are similar
ΔPKM ~ ΔLQM
Hence, Yes the triangles PMK and LMQ are similar by SAS similarity statement.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ2
Write an equation for this word
sentence: one third of a number
equals 9.
Hurry plsss
Answer:I believe D
Step-by-step explanation: Hope you get it right
What is the y-intercept for the equation y= 11x + 1?
-11
-1
1
11
Answer:
1
Step-by-step explanation:
The y-intercept in the equation is 1 because the equation uses the format y=mx+b. The b in y=mx+b represents the y-intercept So, in this equation the y-intercept is 1 because b=1.
Is the cost of candy proportional to pounds of candy?
Answer:
Step-by-step explanation:
Yes
Answer:
yes because for every pound it is $3
Step-by-step explanation:
i know this because 1 times 3 is 3 and 3 times 3 is 9 and 7 times 3 is 21 and 10 times 3 is 30
Find The Circumference Of A Circle With D =22.1
Answer:
138.86
Step-by-step explanation:
Multiply the radius by 2 to get the diameter.
Multiply the result by π, or 3.14 for an estimation.
That's it; you found the circumference of the circle.
What is the value of y in the equation 4 + y=-3?
7
1
-1
-7
Answer: -7
Because if y is -7 then the equation would be 4 - 7 = -3 which is true :)
AB
Round your answer to the nearest hundredth.
А
50°
6
12
B
Answer:
h = 7.832
Step-by-step explanation:
This is a right angled triangle so, taking 50 as reference angle,
hypotenuse = ?
perpendicular = 6
The ratio for p and h is given by
Sin 50 = p/h
Sin 50 = 6 /h
h = 6 / Sin 50
h = 7.832
PLEASE HELP!!! I’ll mark brainliest
Answer: I think it’s the first choice. Foreign Language, Math/CS, and social studies
Step-by-step explanation:
Use the decimal grid to write the percent and fraction equivalents.
0.53
Answer:
53%
53/100
Step-by-step explanation:
What is the value of y?
2y°
y +10°
50°
A. 400
B. 60°
C. 500
D. 30°
Answer:
a part
Step-by-step explanation:
Attachment added....
Hope it helps :)
someone please help!!
Answer: -7
Step-by-step explanation:
In order to find rate of change, we use two points (0,70) and (3,49).
rate of change = (y2 - y1)/ (x2 - x1)
= (49 - 70) / (3 - 0)
= -21/3
= -7
please help.I don’t understand
Answer:
y=13 degrees
Step-by-step explanation:
This is an isosceles triangle, we know this because NO and NM are equal.
In an isosceles triangle, the base angles are congruent. In this case, they are angle NOM and angle NMO.
We also know that the sum of the interior angles of a triangle are equal to 180.
With this information, we can make an equation by gathering all the interior angles:
8y+2(3y-1)=180
Solve for y.
8y+6y-2=180
14y-2=180
14y=182
y=13
PLSS HELP I WILL GIVE YOU BRAINLYEST!!
Students were surveyed about their
favorite sports to play in physed. The
results are represented in this arcle graph
If 48 students were surveyed, how many
chose soccer?
Part/total=%/100
A. 15
B. 12
C. 13
D. 10
Answer: C
So I was right, I guess.
Fifty people put there name
into a two different drawings
(30 males and 20 females).
One drawing is for an iPad and
the other is for a flat screen
TV. What is the probability
that a male will win both
drawings.
Possible answers ⇒
13%
27%
36%
49%
WILL GIVE BRAINLIST
Answer:
36%
Step-by-step explanation:
30/2500 x 30/2500=
900/2500=0.36
0.36*100=36%
With the values of sin 30°, cos 30°, sin 60° and cos 60°
A plane takes off and climbs steadily for 15 minutes until it reaches 30,000 feet. It travels at that altitude for 2 hours until it begins to descend to land, which takes 15 minutes at a constant rate
4h + 14 > 38
What’s the answer
Answer:
Inequality Form:
h > 6
Interval Notation:
( 6 , ∞ )
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Solve 2x2 + x − 4 = 0
Answer:
x = 0
Step-by-step explanation:
hi there!
im not sure if the x between the 2's is a x as in a variable or if it is multiplication sign. im going to solve the problem as if it is a multiplication sign but if that is wrong then please let me know!
2 * 2 + x - 4 = 0
is our equation that we are working with ^
first step is, following the pemdas we multiply *2 with its self
( ^ parentheses, exponents, multiplication/ division making sure to solve it left to right, addition and subtraction still making sure to follow the left to right rule )
2 * 2 + x - 4 = 0
2 * 2
= 4 + x - 4 + 0
then we add positive 4 and negative 4 together, canceling eachother out the giving us the answer of x = 0
4 + x - 4 + 0
4 + - 4 = 0
x = 0
i hope this helps you! have a good rest of your day :)
Question
Find the volume of the cylinder. Find the volume
of a cylinder with the same radius and double the
height
7 in
3 in
Answer:
I couldn't really see the height number (that had to doubled) ir really the radius but I saw 7 for the radius and 3 (×2) for the height so I did the math and the answer is 923.63
Step-by-step explanation:
i could be wrong tho, hope this helped
Answer:
923.63
Step-by-step explanation: hope this helps!!
Use the table to determine a reasonable estimate for limStartFraction 2 x squared minus x + 15 Over x cubed minus 5 x minus 12 EndFraction as x approaches 3? One-half One-fourth 3 DNE
The reasonable estimate for limStartFraction 2 x squared minus x + 15 Over x cubed minus 5 x minus 12 EndFraction as x approaches 3 is [tex]\dfrac{1}{2}[/tex]
Given the limit of a function expressed as:
[tex]\lim_{x \to 3}\frac{2x^2-x+15}{x^3-5x-12}[/tex]
First, we need to substitute x = 3 into the function to have:
[tex]=\frac{2(3)^2-3+15}{3^3-5(3)-12}\\=\frac{18-3+15}{27-15-12}\\=\frac{0}{0} (indeterminate)[/tex]
Apply l'hospital rule on the function:
[tex]=\lim_{x \to 3}\frac{\frac{d}{dx} (2x^2-x+15)}{\frac{d}{dx} (x^3-5x-12)}\\=\lim_{x \to 3}\frac{4x-1}{3x^2-5}\\[/tex]
Subtitute x = 3 into the result
[tex]=\frac{4(3)-1}{3(3)^2-5}\\=\frac{12-1}{27-5}\\=\frac{11}{22}\\=\frac{1}{2}[/tex]
Hence the reasonable estimate for limStartFraction 2 x squared minus x + 15 Over x cubed minus 5 x minus 12 EndFraction as x approaches 3 is [tex]\dfrac{1}{2}[/tex]
Learn more here: https://brainly.com/question/23935467
Answer:
1/2
Step-by-step explanation:
i am in your walls
if (x+2)^2=49, then x + 2 = 7. True or False
Use the data from the dot plot below to answer the question.
How many students from this data sample have three siblings?
A. Three students have three siblings
B. One student has three siblings
C. Four students have three siblings
D. Two students have three siblings
SOMEONE HELPPP
What is the classification of the figure?