Answer:
72°
Step-by-step explanation:
Para el pentagono ABCDE,
m<C = (n - 2)(180)/n = (3)(180)/5 = 108
m<D = m<C = 108
Para el quadrilatero BCDE,
m<CBE + m<C + m<D + m<DEB = (n - 2)180 = 2(180) = 360
m<C = m<D = 108
m<CBE = m<DEB = x
m<CBE + m<C + m<D + m<DEB = 360
x + 108 + 108 + x = 360
2x + 216 = 360
x + 108 = 180
x = 72
A man invested N80 at a certain rate of simple interest. If at the end of 5 years the money amounted to N88, what was the rate of simple interest paid?
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Answer:
2%
Step-by-step explanation:
The amount of interest is the difference between the total amount and the principal amount:
N88 -N80 = N8 . . . . the amount of interest
The interest amount is given by the formula ...
I = Prt
Solving for r, we find ...
r = I/(Pt) = 8/(80×5) = 1/50 = 2%
The rate of simple interest paid was 2%.
Problem
Combine the like terms to create an equivalent expression:
y−(−3y)
please someone explain to me how to do this?
Find the measure of the missing angles.
WILL GIVE BRAINLIEST
Answer:
h= 60
g= 120
m= 147
k= 33
Step-by-step explanation:
We know that all three lines are straight an continuous, so, at any given point the angles should add up to 180 degrees.
This immediately helps with angle h:
120 + h = 180
h = 60
As well as m:
33 + m = 180
m = 147
There are two ways to solve the next part:
First and most familiar way:
h + g = 180
60 + g = 180
g = 120
and:
m + k = 180
147 + k = 180
k = 33
The other way that I prefer is that the angles opposite of each other when two lines intersect are equal. I don't know if that makes sense, it's hard to explain in this format.
Simplify[tex]\frac{9x^{16} }{6(x^{2} )^{3}x^{2} } }[/tex]
Answer:
[tex]\displaystyle \frac{3x^8}{2}[/tex]
General Formulas and Concepts:
Algebra I
Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex] Exponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex] Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \frac{9x^{16}}{6(x^2)^3x^2}[/tex]
Step 2: Simplify
Exponential Rule [Powering]: [tex]\displaystyle \frac{9x^{16}}{6x^6x^2}[/tex]Exponential Rule [Multiplying]: [tex]\displaystyle \frac{9x^{16}}{6x^8}[/tex]Exponential Rule [Dividing]: [tex]\displaystyle \frac{9x^8}{6}[/tex]Simplify: [tex]\displaystyle \frac{3x^8}{2}[/tex]Convert the following fraction to a decimal.
1/3
A. 0.3
B. 0.03
C. 0.303
D. 3.9
Answer:
Option A, 0.3
Step-by-step explanation:
Step 1: Convert the fraction into a decimal
Technically, 1/3 is an irrational number meaning that it never ends. However, if we round it, it would round to 0.3 since 1/3 = 0.3333333.....
Answer: Option A, 0.3
Catriona spotted a major problem having to do with patient billing. A number of people may have received the wrong bills. When should she have told her boss? O a) When she was evaluating how to alert the patients O b) After she sent patient notices out c) When she first noticed the problem O d) After she decided on a communication plan
Answer:
C
Step-by-step explanation:
When she first noticed the problem
Graph the line. y = -5x + 1
FIND THE LENGTH OF MP
Answer:
D.21
Step-by-step explanation:
MP=MV - PV= 67 -46 = 21
the table shows linear relashonsips between x and y write an equation in slope intercept form for this relashonsip!!!!!!!!!!!!!!!!!!!!!!!
QUICK PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]y=-2x+6[/tex]
Step-by-step explanation:
Slope-intercept form is given as [tex]y=mx+b[/tex], where [tex]m[/tex] is slope and [tex]b[/tex] is the y-intercept.
To find the slope of a line that passes through two points [tex](x_1, x_2)[/tex] and [tex](y_1, y_2)[/tex], use the slope formula:
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let:
[tex](x_1, y_1)\implies (1, 4)\\(x_2, y_2)\implies (0, 6)[/tex]
The slope of the line that passes through these two points is:
[tex]m=\frac{6-4}{0-1}=\frac{2}{-1}=-2[/tex]
Now substitute [tex]m=-2[/tex] and any point to solve for [tex]b[/tex]:
[tex]y=mx+b,\\6=-2(0)+b,\\6=0+b,\\b=6[/tex]
Therefore, the slope-intercept form of a line that is represented by the table is [tex]\boxed{y=-2x+6}[/tex]
Find the ratio of A : B: C when
(a) A : B = 3 : 5 A : C = 6 : 7
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Answer:
A : B : C = 6 : 10 : 7
Step-by-step explanation:
The A value is common to both ratios. In order to form the ratio A:B:C we must have the number of ratio units representing A be the same in both A:B and A:C. That number must be the least common multiple of 3 and 6, which is 6.
Multiplying the first ratio by 2, we have ...
A : B = 6 : 10
A : C = 6 : 7
So, we can write the triple ratio as ...
A : B : C = 6 : 10 : 7
Consider the function f(x)=10^x and function g. G(x)=f(x+4)
how will the graph of function g differ from the graph of function f?
A. The graph of function g is the graph of function f shifted 4 units down
B. Shifted 4 units to the left
C, shifted 4 units up
D. Shifted 4 units to the right
the top answer correct :)
What does he call "Squaring"?
When someone has a funny head
When you double a number
When you multiply a number by itself
Answer:
when you multiply a number by itself
Step-by-step explanation:
fill in each blank with a true statement
Answer:
See below.
Step-by-step explanation:
7.)
Supplementary angles add up to 180°. ∠B's supplement is 22°. This means ∠B is 158°. Since ∠A ≅ ∠B, the m∠A = 158°.
8.)
Again, supplementary angles add up to 180°. ∠P is a right angle meaning it is 90°. Therefore, the m∠Q is 90° as well.
9.)
Complementary angles add up to 90°. In order for ∠S and ∠T to be complementary, they both need to angle measurements less than 90° meaning they both need to be acute angles.
Now that we know that ∠T is acute, the only way ∠U can be its supplement is if it has an angle measure greater than 90°. Therefore, ∠U is an obtuse angle.
10.)
Similar to question 9, if an angle is obtuse, its supplement must be an acute angle.
While hovering near the top of Ribbon Falls in Yosemite National park at 1600 feet, a helicopter pilot accidentally drops his sunglasses. The height h(t) of the sunglasses after t second is given by the polynomial function h(t)=-16t^2+1600. When will the sunglasses hit the ground? (Hint: Let the height,h(t), be 0 and solve for t.)
Answer:
10 seconds
Step-by-step explanation:
Plug in 0 as h(t) and solve for t:
h(t) = -16t² + 1600
0 = -16t² + 1600
-1600 = -16t²
100 = t²
10 = t
So, the sunglasses will hit the ground after 10 seconds
Once again another one
Answer:
S = 23.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin S = opp / hyp
sin S = 4/10
sin S = 2/5
Taking the inverse sin of each side
sin^-1 ( sin S) = sin ^-1 (2/5)
S=23.57817
Rounding to the nearest tenth
S = 23.6
Which of the following is another way of expressing 2 out of 8.
2.5%
25%
25
2.5
Pls help me
Answer:
it will be 25 percent
Step-by-step explanation:
divide 2 by 8
Answer: 25 %
Step-by-step explanation:
2/8
on simplifing we got 1/4 in fraction that is equal to 0.25 that is equal tp 25 % in percentage form.
Hope this will help you
Can someone be my math teacher ? pls message
Answer:
which grade do you want to get helped by ?
Identify the first 4 terms in the arithmetic sequence given by the explicit formula ƒ(n) = 8 + 3(n – 1).
A) 8, 11, 14, 17
B) 3, 11, 19, 27
C) 8, 5, 2, –1
D) 3, –5, –13, –21
Answer:
A
Step-by-step explanation:
an arithmetic sequence adds a constant from every previous term to create the next term.
it starts with a first term, a1, meaning that n >=1
a1 = 8 + 3×(1-1) = 8 + 3×0 = 8
so, B and D are out.
the next term is a2.
a2 = 8 + 3×(2-1) = 8 + 3×1 = 11
and so, only A can be correct.
just to verify
a3 = 8 + 3×(3-1) = 14
a4 = 8 + 3×(4-1) = 17
and it also fits overall,
starting with 8, every new term is the previous term + 3.
What is a40
a
40
of the arithmetic sequence for which a8=60
a
8
=
60
and a12=48
a
12
=
48
?
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Answer:
-36
Step-by-step explanation:
Using the expression for the general term, you can fill in the known values and solve for the parameters of the sequence.
an = a1 +d(n -1)
a8 = a1 + d(8 -1) = 60
a12 = a1 + d(12 -1) = 48
The difference of these equations is ...
(a1 +7d) -(a1 +11d) = (60) -(48)
-4d = 12
d = -3
Substituting into the first equation, we have ...
a1 +7(-3) = 60
a1 = 81 . . . . . . . . . add 21
Then the 40th term is ...
a40 = 81 -3(40 -1) = 81 -117
a40 = -36
The probability of someone ordering the daily special is 52%. If the restaurant expected 65 people for lunch, how many would you expect to order the daily special? Group of answer choices
Answer:32.5% fo people will buy
Step-by-step explanation:
mostly half of the people with order
determine a simplified expression
Answer:
For Task B: [tex]3x^4 - 2x^3[/tex]
Step-by-step explanation:
Given that Volume = l*w*h, we can plug in the values on the diagram, so we get the equation (3x-2)([tex]\frac{1}{2}x[/tex])([tex]2x^2[/tex]) = [tex](\frac{3}{2} x^2 - x)(2x^2) = 3x^4-2x^3[/tex]. Hope this helps!!!
Complete the sentence below.
The expression 52x – 169 is equivalent to 13(
)
Answer:
13(4x-13)
if you distribute it then you come back with 52x-169.
Answer:
its D 4x- 13
Step-by-step explanation:
i just did the question
The two cones below are similar. What is the value of x?
A. 0.16
B. 0.32
C. 0.4
D. 0.8
Answer:
.8
Step-by-step explanation:
The ratios have to be the same for the cones to be similar
10 4
----- = ------
2 x
Using cross products
10x = 4*2
10x = 8
Divide by 10
x = 8/10
x = .8
Answer:
Step-by-step explanation:
expand and simplify √3(√3-1)
Answer:
[tex]3 - \sqrt{3} [/tex]Step-by-step explanation:
[tex] \sqrt{3} ( \sqrt{3} - 1)[/tex]
[tex] = \sqrt{3} \times \sqrt{3} - \sqrt{3} \times 1[/tex]
[tex] = 3 - \sqrt{3} (ans)[/tex]
A cube has an edge of 8cm. Calculate its Volume.
Answer:
512cm³
Step-by-step explanation:
to get the volume the formula is Base area x height
BA X H
=8x8x8 because all sides of a cube are equal
=512cm³
Question 1 of 28
What is the length of the short leg in the 30-60-90 triangle shown below?
30
513
60
A. 525
B. 10
O c. 5
D. 515
Answer: 5
Step-by-step explanation:
Remember the relationships of the sides of a 30-60-90 triangle. The longer leg is sqrt(3) times the value of the shorter leg. By dividing 5[tex]\sqrt{3\\}[/tex] with [tex]\sqrt{3}[/tex] you get 5 as the length of the shorter leg.
Find: |-8|
о 0
О -1
0 8
О - 8
Answer:
|-8|
= |-8| = 8
|-8|. |-a = a , a> o
= 8
Question 4 4 pts Lori buys a $1500 certificate of deposit (CD) that earns 6% interest that compounds monthly. How much will the CD be worth in: 5 years? 10 years? 486 months?
Answer:
Step-by-step explanation:
5 years
[tex]1500(1+\frac{.06}{12})^{12*5}=2023.275229[/tex]
10 years
[tex]1500(1+\frac{.06}{12})^{10*12}=2729.095101[/tex]
486 months:
[tex]1500(1+\frac{.06}{12})^{486}=16935.47074[/tex]
round those as you please
The slope of the line below is 2. Which of the following is the point-slope form
of the line?
Answer:
y+1 = 2(x-1)
Step-by-step explanation:
Point slope form for a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
We are given the point(1,-1)
y --1 = 2(x-1)
y+1 = 2(x-1)
PLEASE HEP ME
PLEASE HELP AND BE CORRECT BEFORE ANSWERING
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Answer:
TrueTrueStep-by-step explanation:
The center of dilation (point D) is a point that doesn't move. Any line not through that point will be moved to a parallel location when a dilation factor is applied.
Any line through the center of dilation will still go through the center of dilation. Its slope does not change, so the line will appear to be the same.
AB ║ A'B' — True
AD ≅ A'D' — True
_____
You can see these relationships in the attached figure.
