Answers
Answer:
area = 19.2325
perimeter = 19.495
Step-by-step explanation:
circular cake diameter = 14 in
radius = d / 2 = 14/2 = 7 in
cut into 8 equal slices
so area of 1 slice = Total area / 8
A = pi * r^2
= 3.14 * 7 * 7
= 3.14 * 49
= 153.86
so area of one slice = 153.86/8 = 19.2325
so for perimeter also it is 1/8 of the total cake perimeter and two times the radius
cake perimeter = P = 2*pi*r
= 2 * 3.14 * 7
= 43.96
so perimeter of slice = 2*r + 1/8 * 43.96
= 2*7 + 1/8 * 43.96
= 19.495
Related Questions
Please I need help ASAP. Can someone help me?
Answers
Answer: The second bubble thing is correct you have picked the wrong one.
Which of the following is true?
|−5| < 4
|−4| < |−5|
|−5| < |4|
|−4| < −5
Answers
Answer:
|-4| < |-5|
Step-by-step explanation:
because if modules is given sub sign will be deducate
there are red blue and green ribbon on the tabel.there are a total of 36 ribbon.3/6 of the ribbon is red.how manny ribbon is red
Answers
Answer:
18
Step-by-step explanation:
3/6 =1/2
1/2 of 36 is 18
Which integer can you multiply by itself to get 400 as the square number?
a. 10
b. 20
c. 30
d. 40.
Answers
Answer:
20
Step-by-step explanation:
20*20 = 400
OR
[tex]20 {}^{2} = 400[/tex]
Find the roots of this quadratic function using square roots. Glve the roots in the form x = {#, #}, with the lower number first.
y= 2(x + 3)^2 - 162
Please help me out.
Answers
(27/8)^1/3×[243/32)^1/5÷(2/3)^2]
Simplify this question sir pleasehelpme
Answers
Step-by-step explanation:
[tex] = {( \frac{27}{8} )}^{ \frac{1}{3} } \times ( \frac{243}{32} )^{ \frac{1}{5} } \div {( \frac{2}{3} )}^{2} [/tex]
[tex] = { ({ (\frac{3}{2} )}^{3}) }^{ \frac{1}{3} } \times {( {( \frac{3}{2}) }^{5} )}^{ \frac{1}{5} } \div {( \frac{2}{3} )}^{2} [/tex]
[tex] = {( \frac{3}{2} )}^{3 \times \frac{1}{3} } \times {( \frac{3}{2} )}^{5 \times \frac{1}{5} } \times {( \frac{3}{2} )}^{2} [/tex]
[tex] = \frac{3}{2} \times \frac{3}{2} \times {( \frac{3}{2} )}^{2} [/tex]
[tex] = {( \frac{3}{2} )}^{1 + 1 + 2} [/tex]
[tex] = {( \frac{3}{2} )}^{4} \: or \: \frac{81}{16} [/tex]
[tex]\large\underline{\sf{Solution-}}[/tex]
[tex]\sf{\longmapsto{\bigg( \dfrac{27}{8} \bigg)^{\frac{1}{3}} \times \Bigg[\bigg( \dfrac{243}{32} \bigg)^{\frac{1}{5}} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]
We can write as :
27 = 3 × 3 × 3 = 3³
8 = 2 × 2 × 2 = 2³
243 = 3 × 3 × 3 × 3 × 3 = 3⁵
32 = 2 × 2 × 2 ×2 × 2 = 2⁵
[tex]\sf{\longmapsto{\bigg( \dfrac{3 \times 3 \times 3}{2 \times 2 \times 2} \bigg)^{\frac{1}{3}} \times \Bigg[\bigg( \dfrac{3 \times 3 \times 3 \times 3 \times 3}{2 \times 2 \times 2 \times 2 \times 2} \bigg)^{\frac{1}{5}} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]
[tex]\sf{\longmapsto{\bigg( \dfrac{{(3)}^{3}}{{(2)}^{3}} \bigg)^{\frac{1}{3}} \times \Bigg[\bigg( \dfrac{({3}^{5})}{{(2)}^{5}} \bigg)^{\frac{1}{5}} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]
Now, we can write as :
(3³/2³) = (3/2)³
(3⁵/2⁵) = (3/2)⁵
[tex]\sf{\longmapsto{\left\{\bigg(\frac{3}{2} \bigg)^{3} \right\}^{\frac{1}{3}} \times \Bigg[\left\{\bigg(\frac{3}{2} \bigg)^{5} \right\}^{\frac{1}{5}} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]
Now using law of exponent :
[tex]{\sf{({a}^{m})^{n} = {a}^{mn}}}[/tex]
[tex]\sf{\longmapsto{\bigg( \frac{3}{2} \bigg)^{3 \times \frac{1}{3}} \times \Bigg[\bigg(\frac{3}{2} \bigg)^{5 \times \frac{1}{5}} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]
[tex] \sf{\longmapsto{\bigg( \frac{3}{2} \bigg)^{\frac{3}{3}} \times \Bigg[\bigg(\frac{3}{2} \bigg)^{\frac{5}{5}} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]
[tex]\sf{\longmapsto{\bigg( \frac{3}{2} \bigg)^{1} \times\Bigg[\bigg(\frac{3}{2} \bigg)^{1} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]
[tex]\sf{\longmapsto{\bigg( \frac{3}{2} \bigg)^{1} \times \Bigg[\bigg(\frac{3}{2} \bigg)^{1} \times \bigg(\dfrac{3}{2} \bigg)^{2}\Bigg]}} \\[/tex]
[tex]\sf{\longmapsto{\bigg( \frac{3}{2} \bigg)^{1} \times \Bigg[\bigg(\frac{3}{2} \bigg)^{1} \times \bigg(\dfrac{3}{2} \times \dfrac{3}{2} \bigg)\Bigg]}} \\[/tex]
[tex]\sf{\longmapsto{\bigg( \dfrac{3}{2} \bigg)^{1} \times \Bigg[\bigg(\dfrac{3}{2} \bigg)^{1} \times \bigg(\dfrac{3 \times 3}{2 \times 2}\bigg)\Bigg]}} \\[/tex]
[tex]\sf{\longmapsto{\bigg( \dfrac{3}{2} \bigg)^{1} \times \Bigg[\bigg(\dfrac{3}{2} \bigg)^{1} \times \bigg(\dfrac{9}{4}\bigg)\Bigg]}} \\[/tex]
[tex] \sf{\longmapsto{\bigg( \frac{3}{2} \bigg)\times \Bigg[\bigg(\frac{3}{2} \bigg)\times \bigg(\dfrac{9}{4}\bigg)\Bigg]}} \\[/tex]
[tex]\sf{\longmapsto{\bigg( \dfrac{3}{2} \bigg)\times \Bigg[ \: \: \dfrac{3}{2} \times \dfrac{9}{4} \: \: \Bigg]}}\\[/tex]
[tex]\sf{\longmapsto{\bigg( \dfrac{3}{2} \bigg)\times \Bigg[ \: \: \dfrac{3 \times 9}{2 \times 4} \: \: \Bigg]}} \\[/tex]
[tex]\sf{\longmapsto{\bigg(\dfrac{3}{2} \bigg)\times \Bigg[ \: \: \dfrac{27}{8} \: \: \Bigg]}} \\[/tex]
[tex]\sf{\longmapsto{\dfrac{3}{2} \times \dfrac{27}{8}}} \\[/tex]
[tex]\sf{\longmapsto{\dfrac{3 \times 27}{2 \times 8}}} \\[/tex]
[tex] \sf{\longmapsto{\dfrac{81}{16}}\: ≈ \:5.0625\:\red{Ans.}} \\[/tex]
PLEASE HELP!!! I NEED THIS DONE AS SOON AS POSSIBLE 20 points Make a table of order pairs for the equation y=-1/3+4 then plot two points to graph the equation
Answers
Answer:
ok so.u grit da he on 40/ rock cause u got a andriodnh on gf
Please help! 15 points!! brainliest if right
Answers
Answer:
a)7x-3x
b)4+28y
Step-by-step explanation:
first one follow bidmas
2nd one just do 4 times 1 =4 and 7y times 4 equals 28y
labron has $15,300 of total liabilities and $52,580 of total assets.what is his net worth
Answers
Answer:
.......................
For a company picnic, Nick ordered a box of fresh-baked gingerbread cookies and sugar cookies. The box included a total of 36 cookies, and 25% of them were gingerbread. How many gingerbread cookies did Nick get?
Answers
Answer: 9
Step-by-step explanation:
36 ÷ 4 = 9
Which statement is true about the polynomial
–10m4n3 + 8m2n6 + 3m4n3 – 2m2n6 – 6m2n6 after it has been fully simplified?
Answers
Answer:
Below.
Step-by-step explanation:
–10m4n3 + 8m2n6 + 3m4n3 – 2m2n6 – 6m2n6
= 8m2n6 – 2m2n6 – 6m2n6 – 10m4n3 + 3m4n3
= 8m2n6 - 8m2n6 – 7m4n3
= –7m4n3.
It is a mononomial.
C+X=G
what is X?
this is a literal equation.
Answers
Answer:
x=g-c
Step-by-step explanation:
hope this helps!
24. A triangle has side lengths of 6, 8, and 9. What type of triangle is it?
acute
equiangular
obtuse
right
•
Answers
It a acute
Hope this help you :)
please answer it is related to square root
Answers
Answer:
Step-by-step explanation:
[tex]2\sqrt{8}+3\sqrt{50}=2\sqrt{2*2*2} + 3\sqrt{5*5*2}\\\\= 2*2\sqrt{2}+3*5\sqrt{2}\\\\=4\sqrt{2}+15\sqrt{2}\\\\= 19\sqrt{2}[/tex]
[tex]3\sqrt{12}+4\sqrt{27}=3\sqrt{2*2*3}+4\sqrt{3*3*3}\\\\=3*2\sqrt{3}+4*3\sqrt{3}\\\\=6\sqrt{3}+12\sqrt{3}\\\\=(6+12)\sqrt{3}\\\\= 18\sqrt{3}[/tex]
Determine the y intercept for the linear function 3x - 4y = 24. Show all work for credit.
Answers
Answer:
y-intercept = -6
Step-by-step explanation:
y-intercept is the value of "y" where a line meets the Y coordinate.
The equation of the line
The linear function given to us is a straight line of equation:
[tex]\boxed{\mathsf{3x-4y=24}}[/tex]
We have two methods to determine the y intercept of the given line
Method #1(Intercept form)
The intercept form will benefit us with not only the y-intercept but also the x-intercept.
If a line makes an x-intercept "a" and a y-intercept "b", it's equation in intercept form is given by:
[tex]\boxed{\mathsf{\frac{x}{a} +\frac{y}{b} =1}}[/tex] . . . . . . . .. . . (¡)
Our main motive here is to get a 1 on one side and have separate denominators for x and y.
PROCESSING OUR CONVERSION:
[tex]=>\mathsf{3x-4y=24}[/tex]
taking 24 to the denominator on the LHS:
[tex]\implies\mathsf{\frac{3x}{24} -\frac{4y}{24} =1}[/tex]
reducing the fractions to their simplest form:
[tex]\implies\mathsf{\frac{x}{8} -\frac{y}{6}=1}[/tex]
getting a plus in between the two fractions and taking the leftover minus to 6 of " [tex]\frac{y}{6}[/tex]"
[tex]\implies\mathsf{\frac{x}{8} +\frac{y}{-6}=1}[/tex]
On comparing it with eqn. (¡), we get
a = 8 and b = -6
which are the x and y intercepts respectively
Since, the question's only asked for the y-intercept
ANSWER:
y-intercept = - 6
- - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - - - - - -
Method #2(slope-intercept form)
The given equation is in standard form. To convert it into slope-intercept you simply have to isolate y.
CONVERSION:
[tex]\implies \mathsf{3x-4y=24}[/tex]
taking y to the RHS and getting 24 to the LHS
[NOTE: Signs change in doing so]
[tex]\implies \mathsf{3x-24=4y}[/tex]
dividing both the sides by 4
[tex]\implies \mathsf{\frac{3x}{4} -6=y}[/tex]
This is the equation in slop-intercept form!
When a line meets the Y-axis it's x coordinate becomes 0.
[Check the attachment]
Substituting x with 0
[tex]\implies \mathsf{0-6=y}[/tex]
[tex]\implies \mathsf{-6=y}[/tex]
ANSWER:
x is 0 when y is -6.
Implies that the y intercept of the line is -6
Someone please help me answer this asap thank you x
(The empty box)
Answers
If f (x) = 3x + 1 and g(x) = 2x + 1, what is the value of f (g(2))?
Answers
Step-by-step explanation:
= f( g(2) )
= 3(2x + 1) + 1
= 6x + 3 + 1
= 6x + 4
= 6(2) + 4
= 12 + 4
= 16
f(g(2)) = 16
Reduce answers to their lowest
terms and mixed forms.
2 4
5
2/
+
f
Answers
Answer:
10 + 28 / 35
= 38 / 35
= 1.0875
38/35 is already reduced to it’s lowest term.
38/35’s mixed term is 1, 3/35
What is the value of x+y in this question and what’s the equation?
Answers
Answer:
Step-by-step explanation:x
In 1963, Dr. Martin Luther King Jr. began his famous “I have a dream” speech with the words “Five score years ago, a great American, in whose symbolic shadow we stand, signed the Emancipation Proclamation.” The proclamation was signed by President Abraham Lincoln in 1863. Using the dates given, write and solve an equation that can be used to find the number of years in a score.
Answers
Answer:
The equation to represent number of years in score is 5x = 1005x=100,
The number of years in score is 20
Step-by-step explanation:
CAN YOU GIVE ME BRAINliEST
HELP D:
what is 70.4 divided by 11
show your work in partial quotient
Answers
Answer: 70.4÷11 = 6.4
Step-by-step explanation:
__6.4__
11/70.4
-66 |
04 4
- 4 4
_____
=0
Make x the subject, 2x + y = s
Answers
Answer:
2x+y=s
2x\2+y\2=s\2
therefore x= s\2-y\2
What criterion statement accurately proves that triangle ABC is congruent to triangle DEF?
A. SSS criterion
B. AAS criterion
C. SAS criterion
D. ASA criterion
Need an answer ASAP
Answers
Answer:
D. ASA criterion
Step-by-step explanation:
Two angles are marked congruent as is the side between them. The criterion involving angle - side - angle is abbreviated ASA.
which input value produces the same output value for the two funcions on the graphs
Rox) = x+1
9(x) = 3x-2
Answers
Answer: i solved on my channel
Step-by-step explanation: https://youtu.be/rTgj1HxmUbg
Which of the following values are in the range of the function graphed below? Check all that apply.
Answers
Answer:
-5,3
Step-by-step explanation:
find the middle of it and simplify until you reach the point
9 DNG AKUM
Solve for x :
N
M
5
U7
X+7
D 8 G
K 35 J
Answers
Answer:
x = 49
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{DN}{KJ}[/tex] = [tex]\frac{DG}{KM}[/tex] , substitute values
[tex]\frac{5}{35}[/tex] = [tex]\frac{8}{x+7}[/tex] ( cross- multiply )
5(x + 7) = 280 ( divide both sides by 5 )
x + 7 = 56 ( subtract 7 from both sides )
x = 49
you are renting a house in the seychelles for a week at $1500. What is the cost per day?
Answers
Step-by-step explanation:
cost per day
= $1500 / week
= $1500 / 7 days
= $1500 ÷ 7 / 7 ÷ 7
≈ $214,29 / day
please help me solve this will give brainliest
Answers
what is 2/5 divided by 1/3
Answers
Answer:
6/5
Step-by-step explanation:
(2/5)/(1/3) ⇔ (2/5)(3) = 6/5
Answer:
6/5 or 1 and 1/5
Step-by-step explanation:
To divide fractions use KFC
Keep the first fraction the sameFlip the second fractionChange the sign from ÷ to ×Using KFC, 2/5 ÷ 1/3 becomes 2/5 × 3/1.
We can now multiply the numerators and multiply the denominators:
2 × 3 = 65 × 1 = 5Answer: 6/5 or 1 and 1/5
Hope this helps!
Given:PS || QR,/_QPS=/_SRQ
Prove:PQ=RS
Answers
Answer:
What is the question? I am confused?
