Euler's polyhedron formula, V − E + F = 2
[tex] = 4 - E + 6 = 2 \\ = E - 10 = 2 \\ = E = 2 + 10 \\ = E = 12[/tex]Which equation can be solved to find x, the measure of BD in the diagram
below?
C
53
AB
D
E
2330
O A. *- 53 = 233
B. }(233 + x) = 53
C. (233 - x) = 53
D. x+ 53 = 233
=
The value of x is equal to 127 degrees.
Data;
Outer angle = 233Inner angle = 53unknown angle = xAngle tangent to a circleTo find the angle x which is related to angle 233 to form the outer angle 53, the equation
[tex]\frac{1}{2} (233 - x) = 53[/tex]
We can proceed to solve for x by simplifying the equation which will give us
[tex]\frac{1}{2}(233-x) = 53\\2 * 53 = 233 - x\\106 = 233 - x\\x = 233 - 106\\x = 127^0[/tex]
The value of x is equal to 127 degrees.
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Answer:
Step-by-step explanation:
just took the quiz
PLEASE I NEED HELP
The figure shows a quarter circle and an equilateral triangle. What is the area of the shaded part? Give your answer to 3 significant figures. (Take π = 3.14.)
Answer:
14.0
Step-by-step explanation:
First, find the area of the whole circle using the equation pi * r^2.
pi * (7^2) = 49pi
Then, to only get the area of a quarter of the circle, divide this number by 4.
49pi/4 = 38.485
Then, to get only the shaded region, you have to find the area of the triangle and subtract it from the area of the quarter circle. The area of the triangle is found using 1/2 * b * h.
1/2 * (7*7) = 24.5
Then subtract that number from the previous one.
38.485 - 24.5 = 13.985
You need to round this to 3 significant figures, so it would be 14.0.
Hope this helps
Item 4
A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.
What was the gopher's original position, p, relative to the surface?
Enter your answer in the box to complete the inequality.
Answer:
<-2
Step-by-step explanation:
i took the test
Answer:
<-2
Step-by-step explanation:
k12
all quiz answers for a crown!
4 ones 4 tenths plus 4 tenths
Answer:
4 8/10
Step-by-step explanation:
4x1+4x1/10+4x1/10=4+4/10+4/10=4 8/10
Adding 4 ones, 4 tenths and 4 tenths gives 4.8
To add 4 ones, 4 tenths and 4 tenths, we can combine the whole numbers and the decimal parts separately.
4 ones = 4 x 1
4 tenths = 4 x 1/10
So, 4 ones + 4 tenths + 4 tenths
= 4 x 1 + 4 x 1/10 + 4 x 1/10
= 4 + 0.4 + 0.4
= 4+ 0.8
= 4.8
Therefore, when you add 4 ones, 4 tenths and 4 tenths, the result is 4.4.
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Carley beat the school record for the 400 meter run by 1.3 seconds. If she ran in 55.7 seconds, what was the record?
Answer:
57 seconds
Step-by-step explanation:
55.7 + 1.3 = 57
Hope this helps!
Answer:
57 seconds
Step-by-step explanation:
Since she beat the record by 1.3 seconds, it means the previous record was 55.7 + 1.3. Therefore, the record was 57 seconds.
How to find slope intercept form without a point.
What is a real number.
Answer:
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
Find the perimeter. Simplify your answer.
Answer:
4
Step-by-step explanation:
yeah-ya........ right?
The perimeter of the triangle is 2(12c - 7).
What is a triangle?A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. The perimeter of a triangle is the sum of the side lengths.
What is the perimeter of the triangle?Perimeter = 7c - 5 + 7c - 5 + 10c - 4
24c - 14
2(12c - 7)
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plz help me fast Simplify t12/t6
Answer:
t^6
Step-by-step explanation:
when dividing exponents, you subtract (refer to exponent rule)
t^12 - t^6 = t^6
f(x) = 3.2 +5 +6
g(x) = 7
Find (f + g)(x).
A. (f+g)(x) = |3x+11| +7
B. (f+g)(x) = |3x+18|
C. (f+g)(x) = |3x+5| + 13
D. (f+g)(x) = |3x| +18
Answer:
A
Step-by-step explanation:
f (x)=3x+5+6
g (x)=7
(f+g)(x)=|3x+5+6|+7
=|3x+11|+7
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
6 is no, -8 is no, - 10 is no, 5 is no
Step-by-step explanation:
6 is no beacause 3 - 4(6) = 11
3 - 24 = 11
-21 = 11
-21 is not equal to 11 so that means that 6 is not a solution.
- 8 is no because 3 - 4(- 8) = 11
3 + 32 = 11
35 = 11
35 is not equal to 11 so that means that - 8 is no a solution
- 10 is no beacause 3 - 4(-10) = 11
3 + 40 = 11
43 = 11
43 is not equal to 11 so that means that - 10 is not a solution.
5 is no beacause 3 - 4(5) = 11
3 - 20 = 11
-17 = 11
-17 is not equal to 11 so that means that 5 is not a solution.
Hope that helps!
Answer:
If u=6,
3-4u=11
3-4(6)=11
3-24=11 (false; not a solution)
If u=-8,
3-4u=11
3-4(-8)=11
3+32=11 (false; not a solution)
If u=-10,
3-4u=11
3-4(-10)=11
3+40=11 (false; not a solution)
If u=5,
3-4u=11
3-4(5)=11
3-20=11 (false; not a solution)
Jason has sixteen books and fifteen magazines in his library. He bought several books at a yard sale over the
weekend. He now has ninety-four books in his library. How many books did he buy at the yard sale?
Answer:
48 books
Step-by-step explanation:
you would take away the 15 magazines because that doesn't matter.you would put 94 books on top first and then subtract 16 books to thatthen putting that problem together you should get 48look at photo that is added
100 POINT!!!!! NEED HELP ASAP
Show that (a + bi)^2 = (a + b)(a − b) + 2abi
Answer:
Step-by-step explanation:
(a + bi)^2 = (a + b)(a − b) + 2abi
= a² + (bi)² + 2 * a * bi
= a² + b²i² + 2abi
= as i² = -1
= a² - b² + 2abi
= (a + b) (a - b) + 2abi
Answer: This is what I turned in and it was right :)
Step-by-step explanation:
(a + bi)^2 = (a + b)(a − b) + 2abi
= a² + (bi)² + 2 * a * bi
= a² + b²i² + 2abi
= as i² = -1
= a² - b² + 2abi
= (a + b) (a - b) + 2abi
When deriving the Quadratic Formula, we start with the general equation for a quadratic:
Answer:
Step-by-step explanation:
c sss876,198 rounded to the nearest thousand
Your answer should be 876.
Answer:
876,000
Step-by-step explanation:
876,000
A biologist observed a population of bacteria that grew at a rate expressed by the exponential equation
f(t)=256e(0.0611t)
where t is in minutes. How long will it take the population to reach 5 times its initial value?
Answer: 26.34
Step-by-step explanation:
The bacteria will take 26.3409 minutes.
What is Exponential Equations?Exponents are used in exponential equations, as the name suggests. We are aware that a number's exponent (or base) tells us how many times the original number has been multiplied. But what occurs if a number's power is a variable? An exponential equation is one in which the power is a variable and a part of the equation.
Given f(t) = 256[tex]e^{0.0611t}[/tex]
initial condition when t = 0
f(0) = 256
to find the time when population reach 5 times its initial value
= 256 x 5 = 1280
f(t) = 1280,
to calculate t
1280 = 256[tex]e^{0.0611t}[/tex]
[tex]e^{0.0611t}[/tex] = 5
0.0611t = ln(5)
0.0611t = 1.60943
t = 1.60943/0.0611
t = 26.3409 minutes.
Hence Bacteria will take 26.3409 minutes to reach 5 times.
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ANSWER QUICKLY WILL GIVE BRAINLIEST
Answer:
\sqrt(3)[cos((4\pi )/(45))+isin((4\pi )/(45))]
Step-by-step explanation:
The first one.
Can someone please help I will give 30 points if the answer if right and brainliest but no links please
The symbol of red in pic indicates that angle is right angle.
So, ∆ MOU = ∆ CUO = 90°
If M.p = 3,240 and S.P = 2,754 then discount=
The discount is 486.
The discount will be:
= 3240 - 2754
= 486
The perimeter of a rectangular picture frame is 120 inches. The length of the picture frame is 10 inches more than the width. Find the length and width of the picture frame.
Answer:
Length is 35 width is 25
Step-by-step explanation:
PLS HELP ASAP ILL GIVE BRAINLKEST
Answer:
Its the bottom one x>5
Step-by-step explanation:
Explain what the point (6,2) represents.
Answer: 6 is the 1st term, 2 is the common ratio
Step-by-step explanation: T = 6(2d-1)
How to find the critical points of a function.
Help please just this whoever answers correctly I will mark brainliest
3. A library charges a late fee of $3.50 plus $0.15 per day that a book is returned late.
B. Make a table to find if the total fee if a book is 10,15,20, or 25 days late. Then graph the ordered pairs.
Answer: for question number 3 is 3.50+.15f
Step-by-step explanation:
(2,-6), (-4,-3)
What is the slope
Step-by-step explanation:
the slope is -3
that is the answer
Answer:
m = 3/-6
Step-by-step explanation:
Look at attached photo
Select all the rates equivalent to the rate 3/4 cup per pound
Answer:
Step-by-step explanation:
Multiply the decimal by 100 and write the result with the percentage sign: 0.75 × 100 = 75%.
21. Paul has $900 to invest in a savings account that has an annual interest rate of 1.8%, and a money market account that pays 4.2% per year. Write a polynomial for the interest he will earn in one year if he invests x dollars in the savings account.
The polynomial that gives the interest earned after a year will have variables, exponents and constants that are joined by operators.
The interest earned after one year is 0.018·xReasons:
The amount Paul has to invest = $900
The annual interest rate from the savings account = 1.8%
The amount the money market account pays per year = 4.2 %
Required: The polynomial for the interest Paul earned by investing x dollars in the savings account.
Solution:
The interest earned is found using the compound interest formula as follows;
[tex]\displaystyle A = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t}}[/tex]
Where;
A = The amount in the account after one year
P = The original amount invested = x
r = The interest rate offered on the investment = 1.8% = 0.018
t = The time of the investment = 1 year
n = The number of times of application of the interest per period = Once per year
Which gives;
Interest = Amount earned = A - P
Therefore;
[tex]\displaystyle Interest, \ I = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t} - P}[/tex]
Plugging in the values gives;
[tex]\displaystyle I = x \cdot \left(1 + \frac{0.018}{1} \right)^{1 \times 1} - x = x \cdot 1.018^1 - x = 1.018 \cdot x - x = 0.018 \cdot x[/tex]
The polynomial equation is therefore;
Interest, I = 0.018·x
Using the simple interest formula, we have;
[tex]\displaystyle Interest = \mathbf{\frac{P \times r \times t}{100}}[/tex]
Which gives;
[tex]\displaystyle Interest = \frac{x \times 1.8 \times 1}{100} = 0.018 \cdot x[/tex]
Interest earned by investing in the savings account for one year, I = 0.018·x
The polynomial representing the interest earned is I = 0.018·xLearn more here:
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2^-5 =
Can someone please help
Answer:
[tex]\frac{1}{32}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , then
[tex]2^{-5}[/tex] = [tex]\frac{1}{2^{5} }[/tex] = [tex]\frac{1}{32}[/tex]
Write the word sentence as an equation. Then solve the equation
the difference between a number p and 6 is -14
Answer:
-8
Step-by-step explanation:
The difference between a number P and 6 is -14.
then;
[tex]p - 6 = - 14 \\ p = - 14 + 6 \\ p = - 8[/tex]
