A complementary angle is an angle that measures
90 degrees and they are also classified as right angles.
A supplementary angle is an angle that measures 180 degrees.
(i) Since the sum of the measures is 90 degrees, they are complementary.
(ii) Since the sum of their measures is 180 degrees, they are supplementary.
(iii) Since the sum of their measures is not 90 or 180, they are neither.
(iv) Since the sum of their measures is 180 degrees, they are supplementary.
(v) Since the sum of their measures is 180 degrees, they are supplementary.
(vi) Since the sum of their measures is 90, we have complementary.
Explain what operation should be used to solve the equation 3.5n = 10.5. What is the value of n
Answer:
n = 3Step-by-step explanation:
Given equation
3.5n = 10.5To solve this for n divide both sides by 3.5:
3.5n / 3.5 = 10.5 / 3.5n = 3HELPPP PLSLSLS I need it for live lesson
Answer:
44g
Step-by-step explanation:
flour=7/6*150=7*25=175g
sugar=175/2=87.5g for 36 biscuits
so for 18 biscuits she needs half as much whuch is equal to 87.5/2=43.75g or 44g
Write the equation of the line passing through the given point that is perpendicular to the
given line.
12. y = - 4x + 7: (4,2)
Answer:
The equation of the line passing through the given point that is perpendicular to the given line y = - 4x + 7: (4,2) is [tex]\mathbf{y=\frac{1}{4}x+2 }[/tex]
Step-by-step explanation:
Write the equation of the line passing through the given point that is perpendicular to the given line.
y = - 4x + 7: (4,2)
The equation of required line will be in slope-intercept form [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
We need to find slope and y-intercept
Finding slope:
When two lines are perpendicular their slopes are opposite reciprocal of each other. [tex]m_1=-\frac{1}{m_2}[/tex]
So, slope of given line = -4 ( Comparing with [tex]y=mx+b[/tex] m = -4)
Now, slope of required line will be: m =1/4 (Opposite reciprocal)
Finding y-intercept
y-intercept can be found using m = 1/4 and point (4,2)
[tex]y=mx+b\\2=\frac{1}{4}(4)+b\\2=b[/tex]
So, we get b = 2
Now, Equation of line
Equation of line having slope m = 1/4 and y-intercept b = 2 is:
[tex]y=mx+b\\y=\frac{1}{4}x+2[/tex]
So, the equation of the line passing through the given point that is perpendicular to the given line y = - 4x + 7: (4,2) is [tex]\mathbf{y=\frac{1}{4}x+2 }[/tex]
A sphere has a diameter of 14 units. what is the volume of the sphere in cubic units ? If a cylinder have the same radius as the spear and a height of 14 units what is the volume of the cylinder
Answer:
Therefore, the volume of sphere is 1436.03 cubic units.
Step-by-step explanation:
V≈1436.76 units cube (sphere)
V=πr^2h (cylinder)
r=7
h=14
V≈2155.13 units cube (cylinder)
Solve For x. Please don't put 'I don't know.'.
Answer:
X=12
Step-by-step explanation:
Answer:
i think 128/7=x
Step-by-step explanation:
What is the, to the nearest tenth of the line segment joining the points (-4,2) and (146,52)?
Answer:
158.1
Step-by-step explanation:
write 4√11^5 without radicals
There are 2 forms of answers:
[tex]\boxed{\boxed{\sf484\sqrt{11}~and~1605.246398532}}[/tex]Solution Steps:______________________________
1.) Calculate 11 to the power of 5:[tex]11^5=161051[/tex]Equation at the end of Step 1:
[tex]4\sqrt{161051}[/tex]2.) Factor [tex]161051=121^2[/tex] × [tex]11[/tex]:Rewrite the square root of the product 161051: [tex]\sqrt{121^2*11}[/tex]Rewrite the square root as products or square roots:[tex]\sqrt{121^2*11}=\sqrt{121^2} \sqrt{11}[/tex]Take the square root of [tex]121^2[/tex]: [tex]\sqrt{121^2}=121[/tex]Equation at the end of Step 2:
[tex]4[/tex] × [tex]121\sqrt{11}[/tex]3.) Multiply 4 and 121:[tex]4[/tex] × [tex]121=484[/tex]Equation at the end of Step 3:
[tex]484\sqrt{11}[/tex]4.) Turn the radical into a decimal: [tex]484\sqrt{11}[/tex] ≈ [tex]1605.246398532[/tex](This is an optional step, if you need the decimal form instead of the radical form.)
______________________________
There are 2 forms of answers without radicals;
484√11 and 1605.2463
What are exponents?The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
To Calculate 11 to the power of 5 gives 161051
Factor 161051 = 121²× 11 :
Now Rewrite the square root of the product 161051: √121²× 11
Also,
√121²× √11
Take the square root of :
√121² = 121
4 x 121√11
Multiply 4 and 121:
4 × 121 = 484
484√11
Then Turn the radical into a decimal:
484√11 ≈ 1605.2463
Learn more about exponentiation here:
https://brainly.com/question/26938318
#SPJ2
Which measure of central tendency best describes the data set below?
{1, 2, 3, 4, 5, 6, 12, 23}
A. the mean, 7
B. the mode, 4
C. the range, 22
D. the median, 4.5
Answer:
It is the mean
Step-by-step explanation:
Which measure of central tendency best describes the data set below?
{1, 2, 3, 4, 5, 6, 12, 23}
=mean
56 Divided by 8=7 mean=7
It’s a. the mean, 7 Or d. the median, 4.5
HELPPPP!!! i dont know the connexus geo quizz help wiht all answers
Please help me identify the range!
And please provide steps on how to get the right answer.
9514 1404 393
Answer:
C. -1 ≤ y ≤ 1
Step-by-step explanation:
The range is the vertical extent of the graph.
Here, the graph goes back and forth between y = -1 and y = +1, so the range is the interval -1 to +1, with those values included. Written as an inequality, it is ...
-1 ≤ y ≤ 1
Written in interval notation, it is ...
[-1, 1] . . . . using square brackets to indicate the end values are included
__
Curly brackets { } are used to delimit a set. That is {-1, 1} means the y-values consist only of -1 or 1 and nothing else. Obviously, that is not the case here.
_____
So, the steps are ...
1) understand the vocabulary, so you know what the question is asking
2) be able to read a graph and identify high points and low points
3) recognize the various ways the answer can be written
4) locate one of those answer possibilities in the list of choices offered
Find the output, y, when the input, x , is 7.
y=
Answer:
-6
Step-by-step explanation:
I got it right :)
card store A sells 16 cards for 96$. What is the cost in dollars per card?
Answer:
16=96
1=?(x)
16x=96×1
x=96/16
x=$6...............
please solve for x and explain every step in detail!!! it’s urgent
Answer:
[tex] x = zk + z + \mu[/tex]
Step-by-step explanation:
[tex] z = \frac{x - \mu}{k + 1} \\ \\ z(k + 1) = x - \mu \\ \\ z(k + 1) + \mu =x \\ \\ \red{ \bold{ x = zk + z + \mu}}[/tex]
State sales tax went from 5% to 5.5%. Calculate the absolute increase and the relative increase in sales tax.
Since all values shown are percentages, it may help to replace the % symbol with the word "percent" and treat it as a label (like dollars or pounds). It is not necessary to
convert the percentages into decimals before performing calculations with them.
Recall that when absolute change of percentages is calculated, a specific unit is required for the result.
The absolute increase is
-Select-
The percentage increase is
-Select-
Dominique says that the state sales tax increase is really bad because it's a 10% increase. Shawn says that the state sales tax increase is not too bad because it's just a
one-half percentage point increase. Who's right?
O Shawn only
O Dominique only
O Both
O Neither
What is the GCF of 6x^2
+ 12x?
Answer:
6x
Step-by-step explanation:
first you have to find the GCF of 6 and 12 then th GCF of
[tex] {x}^{2} and \: x[/tex]
finally
6x
if its helpful ❤❤
THANK YOU
The circle shown is centered at the origin and contains the point (-4, -2). What is the length of the diameter of the circle? Round your answer to the nearest hundredth
Step-by-step explanation:
Equation for circle centered at origin:
x² + y² = r².
Therefore r² = (-4)² + (-2)² = 20, r = √20.
Hence d = 2r = 2√20 = 8.94 (2d.p.)
HELP ASAP I HAVE ONLY A COUPLE MINUTES!!!!!
Adela, Tony, Pang, and Ruben are all in 6th grade. Their average age is 11 years old. The list shows the difference from average for each.
Age Difference
Adela: 0.75 year
Tony: 11
10
years
Pang: –0.8 year
Ruben: -1
2
year
Which lists shows the values of the differences ordered from least to greatest?
Adela, Tony, Pang, Ruben
Adela, Pang, Ruben, Tony
Pang, Ruben, Adela, Tony
Tony, Adela, Ruben, Pang
Answer:
I think it would be the second one or last one
Answer:
Pang, Ruben, Adela, and Tony is the correct answer
Step-by-step explanation:
You're welcome~
A sports store sells three different packs of tennis balls. Brand A costs $2.50 for two balls, brand B sells three balls for $3.90, and brand C has a sale of four balls for $5.12. Which inequality about the unit price per ball is correct?
Answer:
Step-by-step explanation:
sports store sells three different packs of tennis balls. Brand A costs $2.50 for two balls, brand B sells three balls for $3.90, and brand C has a sale of four balls for $5.12. Which inequality about the unit price per ball is correct
Brand A:
$2.50 for 2
Brand B :
$3.90 for 3
Brand C:
$5.12 for 4
We calculate the unit price :
Brand A:
$2.50 / 2 = $1.25
Brand B:
$3.90 / 3 = $1.30
Brand C:
$5.12 / 4 = $1.2
Chris has just sold a home valued at $85,000. Her
normal commission for the homes that she sells
is 8%. Determine the amount that Chris will make
on the sale of the $85,000 home.
Answer:
Amount of Chris' commission = $6800
Step-by-step explanation:
Given that:
Value of the house sold by Chris = $85,000
Percent of Chris' commission = 8%
Amount of Chris' commission = 8% of 85000
Amount of commission = [tex]\frac{8}{100}*85000[/tex]
Commission = 0.08 * 85000
Commission = $6800
Hence,
Amount of Chris' commission = $6800
Marcos reads 3, books in 1 3/4 weeks.
At this rate, how many books does Marcos read in1 week?
Enter your answer in the box.
Answer:
[tex]x = \frac{12}{7}\ books[/tex]
Step-by-step explanation:
Given
[tex]3\ books = 1\frac{3}{4}\ weeks[/tex]
Required
Number of books in 1 week
Represent the number of books in 1 week with x.
So, we have:
[tex]3\ books = 1\frac{3}{4}\ weeks[/tex]
[tex]x = 1\ week[/tex]
Cross Multiply
[tex]x * 1\frac{3}{4} = 3 * 1[/tex]
[tex]x * 1\frac{3}{4} = 3[/tex]
Convert fraction to improper fraction
[tex]x * \frac{7}{4} = 3[/tex]
Multiply through by [tex]\frac{4}{7}[/tex]
[tex]x * \frac{7}{4}*\frac{4}{7} = 3 * \frac{4}{7}[/tex]
[tex]x = 3 * \frac{4}{7}[/tex]
[tex]x = \frac{12}{7}\ books[/tex]
Hence: 12/7 books were read in a week
2. Make P the subject of the formula y = a + p/a-p A. 2a - y/a + y B. ay-1/y+1 C. a(y-1)/y+1 D. 2y-1/y-1
Answer:
a(y-1)/1+y
Step-by-step explanation:
Given the expression y = a + p/a-p
yo are to make P the subject of the formula:
Step 1: Cross multiply
y = a + p/a-p
y(a-p) = a+p
Step 2: open the bracket
ya - yp = a+ p
Step 3: Collect the like terms
ya - a = p+ yp
ya - a= p(1+y)
a(y-1) = p(1+y)
Step 4: Divide both sides by 1+y
a(y-1)/1+y = p(1+y)/1+y
a(y-1)/1+y = p
p =a(y-1)/1+y
Hence the required solution is p = a(y-1)/1+y
What is 4 divided by 6 plus 1 divided by 8?
Answer:
Step-by-step explanation:
0.2
Sam and Martha had a total bill (Including tax) of $29 32 at The Spaghetti House restaurant They also purchaued 2 shirts for $19.98 each (not including tax) from a nearby clothing store, Part A They wished to leave a tip of 18%at The Spaghetti House How much total money did they spend at the restaurant? (Round to the nearest cent) Part B: If sales tax is6%, how much did they spend on their two shirts at the clothing store(Round to the nearest cent)
Answer:
Part A: $34.60
Part B: $42.36
The Reeds are moving across the country. Mr. Reed leaves 5 hours before Mrs. Reed. If he averages 40mph and she averages 50mph, how many hours will it take Mrs. Reed to catch up to Mr. Reed?
Answer:
It will take 20 hours for Mrs. Reed to catch up with Mr. Reed
Step-by-step explanation:
Given that:
Mr. Reed leaves 5 hours early.
Speed of Mr. Reed = 40 mph
Distance covered in 5 hours = 40 * 5 = 200 miles
Let,
h be the number of hours and D be the total distance.
D = 40h + 200
Speed of Mrs. Reed = 50 mph
D = 50h
For catching up, both distances will be same
D = D
50h = 40h + 200
50h - 40h = 200
10h = 200
Dividing both sides by 10
[tex]\frac{10h}{10}=\frac{200}{10}\\h=20[/tex]
Therefore,
It will take 20 hours for Mrs. Reed to catch up with Mr. Reed
Please hurry it’s missing
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
22/7
Decimal Form:
3.142857 (terminating decimal)
Mixed Number Form:
3/1/7
Which of the following expressions is equivalent to (8x)2/3 ?
a
4 cubic root of x^2
b
Cubic root of 8x^2
c
4x^2/3
d
(8^2/3) (x^2/3)
Answer: C. 4x^2/3 is ur answer
what expression is equivalent to 23/24
Answer:
23/24 0.9583 95.83%
Step-by-step explanation:
the other side is 25, but im not sure what sin B is
9514 1404 393
Answer:
sin B = 24/25
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
The side opposite angle B is the side AC. Its length is shown as 24. You have correctly said the hypotenuse (AB) is 25, so you have ...
sin(B) = AC/AB
sin(B) = 24/25
Find the correct equivalent fractions using multiplication
Answer:
[tex] \dfrac{25}{45} [/tex]
Step-by-step explanation:
[tex] \dfrac{5}{9} \times \dfrac{5}{5} = \dfrac{5 \times 5}{9 \times 5} = \dfrac{25}{45} [/tex]
Hello, can anyone help me by answering all these? Please
Answer: See step by step
Step-by-step explanation: For A my 15 statements are.
It has 3 triangles inside it, ACD, ADC, and ABCIt has 2 right triangles, and 1 isocelesAC≅ABCD≅DBD is midpoint of CBAD⊥CBAngle CDA=90 degreesAngle BDA equal 90 degreesAD≅ADΔCDA≅ΔBDA by any congruence theorem, (SSS, SSA,AAS,ASA, HL) [tex]AD^{2}[/tex]+ [tex]DB^{2}[/tex]=[tex]AB^{2}[/tex]12.[tex]AD^{2}[/tex]+ [tex]CD^{2}[/tex]= [tex]AC^{2}[/tex]
13. Triangle ABC has a max of 180 degrees.
14. We can rotate this triangle 180 degrees and it will coincide.
15. We can reflect triangle ACD over vertical line ACD and it will be congruent to ABD.
2. We use pythagorean theorem since it has a right angle.
[tex]AD^{2}[/tex]+ [tex]DB^{2}[/tex]=[tex]AB^{2}[/tex] Let plug it in.
[tex]40^{2}[/tex]+[tex]b^{2}[/tex]=[tex]45^{2}[/tex]
1600+ b^2=2025
b^2=424
sqr root of 425 is about 21. Now let find the perimeter.
AB is 45, Since BD+DC=CB, and they are congruent they are equal so 21+21=42 and AC is congruent to AB so it is 45. So the perimeter is 132.
For 3. Start at the orgin, then go up 5 on the y-axis so you should be at (0,5)
Then use the rise over run method to graph it. go left -3 and and up 1. Keep doing that 2 more times then draw a straight line.
Your 3 point should be
(0,5)
(1,2)
(2,1)