Answer:
x=3
Step-by-step explanation:
BC= 5 ~ EC=25
And we can see that BC times 5 equals the EC value. This means that BA times 5 will equal ED.
So we can set 5 * (BC) = (ED)
5x=18-x
Then solve for x:
6x=18
x=3
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
So we are given that ΔABC and ΔDEC are similar.
In other words, AB and DE are similar. And CA and CD are also similar.
When the sides are similar, it means that their proportions are equal to the each other. Therefore:
[tex]\frac{AB}{DE}=\frac{CA}{CD}[/tex]
Substitute 30 for AB, 18 for DE, 2x-1 for CA and x+1 for CD. So:
[tex]\frac{30}{18}=\frac{2x-1}{x+1}[/tex]
Reduce the left by dividing both layers by 6. Thus:
[tex]\frac{5}{3}=\frac{2x-1}{x+1}[/tex]
Cross multiply:
[tex]3(2x-1)=5(x+1)[/tex]
Distribute:
[tex]6x-3=5x+5[/tex]
Add 3 to both sides:
[tex]6x=5x+8[/tex]
Subtract 5x from both sides:
[tex]x=8[/tex]
So, the value of x is 8.
And we're done :)
Find the distance between X (5, 7) and Y (-6, 6).
Round answer to the nearest tenth.
Answer: 11.0 or 11
Step-by-step explanation:
To find the distance first find the difference between the coordinates. find the change in the x and y coordinates and square them to add them to get a number and find the square root of that same number to find the distance.
x coordinates: 5-(-6)= 11
y coordinate: 7-6 = -1
Now square them
11^2 + 1^2 = l^2 where l is the distance
121 + 1 = l^2
122 =l^2
l = [tex]\sqrt{122}[/tex]
l = 11.045 Rounded to the nearest tenth is 11.0
Express (-3 - i) - (5 + 3i) in the form of a + ib.
Answer:
Step-by-step explanation:
=-3-i-5-3i
=-8-4i
what is the surface area means
Answer:
that is the outsider part.of something
the sum of the areas of all the faces of a three dimension figure or in 3-D shapes
Express the quotient 36/12
Answer:
Step-by-step explanation:
36/12 = 3
12 x 3 = 36
how many kilometres are there in 1 metre
Answer:
0.001km
1km is 1000m
So, 1m is 1m divided by 1000km
Which gives 0.001km
There are 0.001 kilometres in 1 metre.
1000 metre =1 kilometre
1 metre=1/1000 kilometre
Write the equation of a line with a slope of 3 and passing through the point (-5, -7).
Show steps please
Answer:
y = 3x +8
Step-by-step explanation:
[tex](-5 ,-7)=(x_1,y_1) \\m = 3\\[/tex]
Plug in values into point-slope form
[tex]y -y_1 =m(x-x_1)\\y - (-7) = 3(x - (-5))\\y +7 =3(x+5)\\y+7 =3x+15\\y = 3x +15-7\\y = 3x +8[/tex]
Which expression has a value of 74?
Please help
Answer:
x+5y+2z sry if itss wrong lol
Step-by-step explanation:
Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}
Answer:
(B) {6,6,7}
Step-by-step explanation:
A criterion to determine if each triplet represents a triangle is the Law of Cosine, which states that:
[tex]a^{2} = b^{2}+c^{2}-2\cdot b \cdot c \cdot \cos \theta[/tex]
Where [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex] are sides of the triangle and [tex]\theta[/tex] is the angle opposite to side [tex]a[/tex]. Now, let is clear the cosine function:
[tex]2\cdot a \cdot b\cdot \cos \theta = b^{2}+c^{2}-a^{2}[/tex]
[tex]\cos \theta = \frac{b^{2}+c^{2}-a^{2}}{2\cdot b \cdot c}[/tex]
Cosine is a bounded function between -1 and 1, a triplet corresponds to a triangle if and only if result is located between upper and lower bounds. Now let is evaluate each triplet:
a) [tex]a = 2[/tex], [tex]b = 5[/tex], [tex]c = 9[/tex]
[tex]\cos \theta =\frac{5^{2}+9^{2}-2^{2}}{2\cdot (5)\cdot (9)}[/tex]
[tex]\cos \theta = 1.133[/tex] (Absurd)
The triplet does not represent a triangle.
b) [tex]a = 6[/tex], [tex]b = 6[/tex], [tex]c = 7[/tex]
[tex]\cos \theta =\frac{6^{2}+7^{2}-6^{2}}{2\cdot (6)\cdot (7)}[/tex]
[tex]\cos \theta = 0.583[/tex] (Reasonable)
The triplet represents a triangle.
c) [tex]a = 6[/tex], [tex]b = 4[/tex], [tex]c = 2[/tex]
[tex]\cos \theta = \frac{4^{2}+2^{2}-6^{2}}{2\cdot (4)\cdot (2)}[/tex]
[tex]\cos \theta = -1[/tex] (Absurd)
The triplet does not represent a triangle, but a straight line.
d) [tex]a = 7[/tex], [tex]b = 8[/tex], [tex]c = 1[/tex]
[tex]\cos \theta = \frac{8^{2}+1^{2}-7^{2}}{2\cdot (8)\cdot (1)}[/tex]
[tex]\cos \theta = 1[/tex] (Absurd)
The triplet does not represent a triangle, but a straight line.
Hence, the correct answer is B.
Total hours worked for Hans Zupp is ___ .
a ) 40 hours 15 minutes
b ) 42 hours 35 minutes
c ) 44 hours 15 minutes
d ) 46 hours 15 minutes
Answer:
Option (D)
Step-by-step explanation:
Total hours worked of Monday= 4:45 hours + 5:00 hours = 9:45 hours
Total hours worked of Tuesday= 4:45 hours + 4:45 hours = 9:30 hours
Total hours worked of Wednesday= 4:30 hours + 4:30 hours = 9:00 hours
Total hours worked of Thursday= 4:45 hours + 4:15 hours = 9:00 hours
Total hours worked of Friday= 4:45 hours + 4:15 hours = 9:00 hours
Total hours worked = 9:45 + 9:30 + 9:00 + 9:00 + 9:00
= 46:15 hours
≈ 46 hours 15 minutes
Option (D) will be the answer.
Parallel lines /////////////
Answer:
38°
Step-by-step explanation:
∠4=∠2
∠2=∠6
∠6=38°
So ∠4=38°
Answer:
The answer is 38°
Step-by-step explanation:
When both lines are parallel, their vertical opposite angles will be the same. So ∠4 = 38°.
Question 1 (1 point)
Find the volume of a cube whose side length is 2.5 feet.
Volume
3
S
side 3
Answer:
Answer:
v=15.625ft³ or 15.63ft³
Step-by-step explanation:
v=s³
v=2.5³
v=15.625
round off to the nearest hundredth
v=15.63ft³
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (XY) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y)
midpoint (5. - 12), endpoint (4-7)
The other endpoint is
(Type an ordered pair)
Answer:
(6, -17)
Step-by-step explanation:
Given the coordinate of a midpoint, (5, -12), and one endpoint, (4, -7), the other endpoint can be determined as follows:
The midpoint formula is given as [tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex].
Since we are given ordered pairs of the midpoint and one endpoint, we would find the other ordered pair of the endpoint as shown below.
Let the other endpoint be [tex] (x_1, y_1) [/tex]
Midpoint = M(5, -12)
Let the given endpoint = [tex] (4, -7) = (x_2, y_2) [/tex]
Thus:
[tex] M(5, -12) = (\frac{x_1 + 4}{2}, \frac{y_1 +(-7)}{2}) [/tex]
Rewrite the equation to find the coordinates of the other endpoints
[tex] 5 = \frac{x_1 + 4}{2} [/tex] and [tex] -12 = \frac{y_1 - 7}{2} [/tex]
Solve for each:
[tex] 5 = \frac{x_1 + 4}{2} [/tex]
[tex] 5*2 = \frac{x_1 + 4}{2}*2 [/tex]
[tex] 10 = x_1 + 4 [/tex]
[tex] 10 - 4 = x_1 + 4 - 4 [/tex]
[tex] 6 = x_1 [/tex]
[tex] x_1 = 6 [/tex]
[tex] -12 = \frac{y_1 - 7}{2} [/tex]
[tex] -12*2 = \frac{y_1 - 7}{2}*2 [/tex]
[tex] -24 = y_1 - 7 [/tex]
[tex] -24 + 7 = y_1 - 7 + 7 [/tex]
[tex] -17 = y_1 [/tex]
[tex] y_1 = -17 [/tex]
Ordered pair of the other endpoint is (6, -17)
Find the nth Taylor polynomial for the function, centered at c. f(x) = ln(x), n = 4, c = 3 P4(x) =
Answer:
P₄(x) = ln3 + 1/3 (x-3) - 1/9*2! (x-3)² + 2/27*3! (x-3)³ - 2/27*4! (x - 3)⁴
Step-by-step explanation:
Given:
f(x) = ln(x)
n = 4
c = 3
To find:
nth Taylor polynomial for the function, centered at c
Solution:
The Taylor series for f(x) = ln x centered at 3 is:
[tex]P_{n}(x) = f(c) + \frac{f'(c)}{1!}(x-c)+\frac{f''(c)}{2!}(x-c)^{2} +\frac{f'''(c)}{3!}(x-c)^{3}+...+\frac{f^{n} (c)}{n!}(x-c)^{n}[/tex]
Since c = 3 So,
[tex]P_{4}(x) = f(3) + \frac{f'(3)}{1!}(x-3)+\frac{f''(3)}{2!}(x-3)^{2} +\frac{f'''(3)}{3!}(x-3)^{3}+...+\frac{f^{n} (3)}{n!}(x-3)^{n}[/tex]
Now
f(3) = ln 3
f'(x) = 1/x ⇒ f'(3) = 1/3
f''(x) = -1/x² ⇒ f''(3) = -1/3² = -1/9
f'''(x) = 2/x³ ⇒ f'''(3) = 2/3³ = 2/27
f[tex]^{(4)}[/tex] (x) = -6/x⁴ ⇒ f[tex]^{(4)}[/tex] (3) = -6/3⁴ = -6/81 = - 2/27
So Taylor polynomial for n=4 is:
P₄(x) = ln3 + 1/3 (x-3) - 1/9*2! (x-3)² + 2/27*3! (x-3)³ - 2/27*4! (x - 3)⁴
8. The ratio of cats to dogs in a particular animal shelter is 11:3. If there are 154 total animals in
the shelter, how many of them are dogs?
33 animals at the shelter are dogs.
How many subsets are there of the set N = {1, 42, 65, 12, 31, 27}?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{64}}}}}[/tex]
Step-by-step explanation:
If ' n ' is the cardinal number of a set, the number of subsets of a given set can be obtained by using the formula 2ⁿ
Given,
N = { 1 , 42 , 65 , 12 , 31 , 27 }
where n ( total number of elements ) = 6
So, the number of possible subsets of set N :
= 2ⁿ
= 2⁶
= 2 × 2 × 2 × 2 × 2 × 2
= 64
Hope I helped!
Best regards!!
Solve the following math problem. Show your work.
My mom gave me 25 cents. I shared 10 cents with my brother. How much money do I have left?
Answer:
15
Step-by-step explanation:
25-10=15
You take out 10 cents and u have 15 left
which of the folowing has a value that is less than zero.
a.) (-6)2
Answer:
the answer is the letter A
Answer:
A
Step-by-step explanation:
It's A because -6 * 2 equals -12 which is less than zero
4) half of 14
thank u
Answer:
7
Step-by-step explanation:
:)
it's so easy :))))))))
Answer:
Half of 14 is 7
Step-by-step explanation:
According to a recent pol, 29 % of adults in a certain area have high levels of cholesterol. They report that such elevated levels "could be financially devastating to the regions healthcare system" and are a major concern to health insurance providers. Assume the standard deviation from the recent studies is accurate and known. According to recent studies, cholesterol levels in healthy adults from the area average about 205 mg/dL, with a standard deviation of about 25 mg/dL, and are roughly Normally distributed. If the cholesterol levels of a sample of40 healthy adults from the region is taken,What is the probability that the mean cholesterol level of the sample will be between 200 and 210
Answer:
Step-by-step explanation:
The mean value μ = 205 , standard deviation of population σ = 25
no of people n = 40
standard deviation of sample of 40 people = σ / √n
σ₁ = 25 / √ 40 = 3.95
probability between 200 and 205
P ( 200 < X < 205 ) = P ( Z= (210 - 205) / 3.95 - P ( Z= (200 - 205) / 3.95
= P ( Z = + 1.26 ) - P ( - 1.26 )
= .8962 - .1038
= .7924
Probability is 79.24 % .
The sum of two numbers is 48. The larger number is 7 less than four times the smaller number. Find the numbers.
Answer:
Larger number = 37
Smaller Number = 11
Step-by-step explanation:
Lets take x as the bigger number and y as the smaller number
x + y = 48
What do we know?
The larger number is 7 less than four times the smaller number
so 4y - 7 = x
Lets replace the equation obove with x
4y - 7 + y = 48
5y - 7 = 48
5y = 48 + 7
y = 55/5
y = 11
Then multiply 11 by 4 11 times 4 = 44 and subtract by 7 44 - 7 = 37
To recheck add 37 to 11 and u should get 48
What is the correct reason for statement 3?
how much time with it take for 450 to yield 81 as interest at 4.5 per annum of simple interesst
Answer:
4 years
Step-by-step explanation:
The formula for simple interest is useful here.
I = Prt
where P is the principal invested at rate r for t years.
Fill in the given values and solve for t:
81 = 450×0.045×t
81/20.25 = t = 4
It will take 4 years for 450 to yield 81.
which of the following must describe an irrational number? (1pt) a number with a nonterminating decimal expansion a number with a non repeating decimal expansion a number with a repeating or terminating decimal expansion a number with a non repeating and non terminating decimal expansion.
Answer:
a number with a non repeating and non terminating decimal expansion.
Step-by-step explanation:
Irrational numbers are numbers which cannot be expressed as fractions, they are real numbers which cannot be expressed as rational numbers such as the square root of natural numbers other than perfect squares.
Irrational numbers are non repeating, non terminating decimal numbers with no group of the digits repeated. Therefore the decimal expansion does not terminate but continues without repetition example is π.
help will give brainliest
Answer:
-10+4=-6
Step-by-step explanation:
Which operation would be completed second in the following expression?
33 + 11-10-2x4
simplify the exponent
add
divide
multiply
Answer:
I THINK IT WILL BE HELPFUL
Point C is the midpoint of a segment AB . What are the coordinates of point B, if: A(–1, 3), C( 1, –1)
Answer:
(3,-5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates together and divide by 2
The x coordinate is
(x1+x2)/2
We know one point and the midpoint
( -1+x)/2 = 1
Multiply by 2
-1 +x = 2
Add 1
x =2+1
x=3
To find the y coordinate of the midpoint, add the y coordinates together and divide by 2
The y coordinate is
(y1+y2)/2
We know one point and the midpoint
(3+y)/2 = -1
Multiply by 2
3+y = -2
Subtract 3
y = -2-3
y =-5
The other endpoint is (3,-5)
Answer:
B(3, -5)
Step-by-step explantion
We know that these formulas can be used to find the mid point between 2 points on a graph
[tex]\frac{a_{1} +b_{1}}{2}= c_{1}\\ \frac{a_{2} +b_{2}}{2} =c_{2}[/tex]
Now we plot these points in
A(-1, 3), C(1, -1)
[tex]\frac{-1+b_{1}}{2} =1 \\\frac{3+b_{2}}{2} =1[/tex]
And we can find that
[tex]b_{1}= 3\\b_{2}=-5[/tex]
Therefore we get the answer of (3, -5)
Hope that helped you with your problem!! :)
One serving of a certain brand of yogurt contains 7g of fat. The low-fat version contains 38.25% less fat per serving. How many grams of fat does one serving the low-fat yogurt contain?
Answer:
7g-100%
x-38,25
38,25*7:100=2,6775g
7g-2,6775g=4,4325g
Step-by-step explanation:
A movie rental company offers a membership plan that costs $10/month and charges $2 to rent each movie.How many movies can a member rent in one month and spend at most $24
Answer:
7 movies
Step-by-step explanation:
Given
membership cost for 1 month = $10
rent for 1 movie = $2
Maximum money to be spent by a member = $24
Let the no. of movie rented by x
Thus, total rent for x movies = x* rent for 1 movie = x*$2 = $2x
Total spending for 1 month = membership cost for 1 month + total rent for x movies
Total spending for 1 month = 10 +2x
Given that he can spend at most $24
Total spending for 1 month <= 24
10 + 2x <= 24
2x <= 24-10
2x <= 14
x <= 14/2
x <= 7
Thus, movies rented can be less than or equal to 7.
since we have to find the maximum movies rented in 23, it will be 7
Thus, at most 7 movies can be rented.
write 7*7*7 in standard form
Answer:
Step-by-step explanation:
343
Answer:
7^3
Step-by-step explanation:
7 to the power of 3. Because there are 3, 7's so you are multiplying 7 3 times
PLEASE HELP AS QUICKLY AS POSSIBLE THANK YOU :)
Answer:
106
Step-by-step explanation:
The area of one of the triangles is 1/2*5*3
The area is 7.5, but there are 2 triangles so the combined area is 15
The area for whole rectangle is 7*(5+3+5)=7*13=91
So the total area is 91+15= 106