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
Which of the following values are in the range of the function graphed below? Check all that apply.
Answer:
-5,3
Step-by-step explanation:
find the middle of it and simplify until you reach the point
you are renting a house in the seychelles for a week at $1500. What is the cost per day?
Step-by-step explanation:
cost per day
= $1500 / week
= $1500 / 7 days
= $1500 ÷ 7 / 7 ÷ 7
≈ $214,29 / day
C+X=G
what is X?
this is a literal equation.
Answer:
x=g-c
Step-by-step explanation:
Make x the subject, 2x + y = s
Answer:
2x+y=s
2x\2+y\2=s\2
therefore x= s\2-y\2
If f (x) = 3x + 1 and g(x) = 2x + 1, what is the value of f (g(2))?
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
24. A triangle has side lengths of 6, 8, and 9. What type of triangle is it?
acute
equiangular
obtuse
right
•
Which statement is true about the polynomial
–10m4n3 + 8m2n6 + 3m4n3 – 2m2n6 – 6m2n6 after it has been fully simplified?
Answer:
Below.
Step-by-step explanation:
–10m4n3 + 8m2n6 + 3m4n3 – 2m2n6 – 6m2n6
= 8m2n6 – 2m2n6 – 6m2n6 – 10m4n3 + 3m4n3
= 8m2n6 - 8m2n6 – 7m4n3
= –7m4n3.
It is a mononomial.
please answer it is related to square root
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]
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.
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
which input value produces the same output value for the two funcions on the graphs
Rox) = x+1
9(x) = 3x-2
Answer: i solved on my channel
Step-by-step explanation: https://youtu.be/rTgj1HxmUbg
Determine the y intercept for the linear function 3x - 4y = 24. Show all work for credit.
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
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
Answer:
18
Step-by-step explanation:
3/6 =1/2
1/2 of 36 is 18
HELP D:
what is 70.4 divided by 11
show your work in partial quotient
Answer: 70.4÷11 = 6.4
Step-by-step explanation:
__6.4__
11/70.4
-66 |
04 4
- 4 4
_____
=0
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?
Answer: 9
Step-by-step explanation:
36 ÷ 4 = 9
9 DNG AKUM
Solve for x :
N
M
5
U7
X+7
D 8 G
K 35 J
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
what is 2/5 divided by 1/3
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!
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.
Reduce answers to their lowest
terms and mixed forms.
2 4
5
2/
+
f
Answer:
10 + 28 / 35
= 38 / 35
= 1.0875
Which of the following is true?
|−5| < 4
|−4| < |−5|
|−5| < |4|
|−4| < −5
Answer:
|-4| < |-5|
Step-by-step explanation:
because if modules is given sub sign will be deducate
please help me solve this will give brainliest
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
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.
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
Answer:
ok so.u grit da he on 40/ rock cause u got a andriodnh on gf
Given:PS || QR,/_QPS=/_SRQ
Prove:PQ=RS
Answer:
What is the question? I am confused?
Please I need help ASAP. Can someone help me?
Answer: The second bubble thing is correct you have picked the wrong one.
Someone please help me answer this asap thank you x
(The empty box)
labron has $15,300 of total liabilities and $52,580 of total assets.what is his net worth
Answer:
.......................
(27/8)^1/3×[243/32)^1/5÷(2/3)^2]
Simplify this question sir pleasehelpme
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]
Which integer can you multiply by itself to get 400 as the square number?
a. 10
b. 20
c. 30
d. 40.
Answer:
20
Step-by-step explanation:
20*20 = 400
OR
[tex]20 {}^{2} = 400[/tex]
Please help! 15 points!! brainliest if right
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
What is the value of x+y in this question and what’s the equation?
Answer:
Step-by-step explanation:x