Answer:
UY = 90
GH = 4
Step-by-step explanation:
Property of similarity of two similar figures:
"If two figures are similar, their corresponding sides are proportional"
Since, FGHIJ ~ YUVWX
[tex]\frac{FG}{UY}= \frac{GH}{UV}= \frac{IJ}{WX}[/tex]
[tex]\frac{10}{UY}= \frac{GH}{36}= \frac{6}{54}[/tex]
[tex]\frac{10}{UY}= \frac{6}{54}[/tex]
UY = [tex]\frac{54\times 10}{6}[/tex]
UY = 90
[tex]\frac{GH}{36}= \frac{6}{54}[/tex]
GH = [tex]\frac{6\times 36}{54}[/tex]
= 4
GH = 4
Question 9 of 18
Which option is not one of the four freedoms Franklin Delano Roosevelt
describes in his Four Freedoms speech?
O A. Freedom from fear
O B. Freedom of speech
O C. Freedom of trade
O D. Freedom from want
Answer:
C. Freedom of trade
Step-by-step explanation:
(A.P.E.X)
The solution is, Freedom of trade is not one of the four freedoms Franklin Delano Roosevelt describes in his Four Freedoms speech. So, correct answer is, Option: C
Explanation:
Four freedoms were mentioned in President Franklin Delano Roosevelt's speech in 1941 where he imagined an universe of fearless, want free, speech and religion friendly. It does not include Freedom of trade or dictatorship or autocracy which supports cruel.
In the post war period president Franklin Delano Roosevelt thought to create a world where freedom from fear and want, freedom of speech and religion, freedom of worship will prevail. In this perfectly set universe people will enjoy the liberty of free thought and an independent life.
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How much interest is earned on 583.00 at 5.25%for 7 years
Answer:
114.93?
Step-by-step explanation:
might be wrong but theres a website I forgot the name of it but you can find out the answers to stuff like that.
Solve: (8-u)-(5u+1).
Answer: −6+7
Step-by-step explanation: Trust
Answer:
-6u+7
Step-by-step explanation:
let me know if you need the steps! have a great day! c:
can someone pls help with this question :)
Answer:
Step by step
Step-by-step explanation:
I need points lol
85 percent of what is 64.6?
Answer:
54.91
Step-by-step explanation:
64.6/x=100/85
(64.6/x)*x=(100/85)*x
64.6=1.17*x (divide both sides of the equation by 1.17 to get x)
54.91=x
x=54.91
now we have 85% of 64.6= 54.91
Answer:
76
We make the assumption that 85 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that 100% = 85
given that tan²Ф=3/8
what is the value of sec
Answer:
sec(thita)=√8/3 I think that
How do i solve this ?
Answer:
20 (im pretty sure)
Step-by-step explanation:
all angles should equal 360 so add them together and you get 340 so find what's missing—20
helppppp plz asap..............
Answer:
I'm pretty sure the answer is 48 feet.
Step-by-step explanation:
It can't be any of the negative answers since the question didn't start with a negative number, and it can't be 14 feet since he started with 15 feet, so it has to be 48 feet.
What is the volume, in cubic inches, of one cube with an edge length of 13 inch?
Please answer this correctly without making mistakes
Since they are both at -10, just subtract the X values to find the distance.
20 - 8 = 12
The distance is 12 units.
Find the value of f(-2) for the function f(x) = 4x + 10.
A. -3
B. -2
C. 2
D. 18
Answer:
C
Step-by-step explanation:
f(x) = 4x+10
f(-2) = 4(-2)+10 = 2
Answer:
b
Step-by-step explanation:
f(-2) = 4(-2)+10
= -2
What is 4.356 rounded toWhat is 4.356 rounded to the nearest whole number?
Enter your answer in the box.
the nearest whole number?
Answer:
4.356 round to 4.36, 6 is above five
=4.4
=4
27. The interest rate that doubles a sum in 10 years is
a) 12%
b) 11%
c) 10%
d) 9%
Answer:
Interest rate of 7%.
Step-by-step explanation:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
In this question:
We want to find t for which [tex]A(t) = 2P[/tex] when [tex]n = 1, t = 10[/tex]. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]2P = P(1 + r)^{10}[/tex]
[tex](1 + r)^10 = 2[/tex]
[tex]\sqrt[10]{(1 + r)^10} = \sqrt[10]{2}[/tex]
[tex]1 + r = 1.07[/tex]
[tex]r = 0.07[/tex]
So a interest rate of 7%.
This probably ain’t worth all my points
Answer:
10
Step-by-step explanation:
2.5 x 4 = 10
Answer:
the answer is 10
Step-by-step explanation:
happy to help
What is 56 written in expanded form? O 5+5+5+5+5+5 O 5.5.5-5-5-5 O 6+6+6+6+6 O 6-6-6-6-6
Answer:
A or C
Step-by-step explanation:
ASAP I need fast now now pleaseo
Answer:
C (-354, 294)
Step-by-step explanation:
The geometric explicit formula is gn= g1 · [tex]r^{n-1}[/tex].
N represents the term you are looking for which, in this case, is the 12th term. R represents the common ratio which, in this case, is +3.
G1 represents the first term in the sequence which, in this case, is -2.
Now you solve using this equation: g12 = -2 · [tex]3^{12-1}[/tex].
12 minus 1 is 11. [tex]3^{11}[/tex] is 177147. 177147 times -2 is -354294.
And that is your final answer; -354,294
Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!
A camera has a listed price of SB78.99 before tax. If the sales tax rate is 6.25%, find the total cost of the camera with sales and
Round your answer to the nearest cent, as necessary
if a car is traveling at 64 mph how many miles will it travel in 6 hours
Answer:
384
Step-by-step explanation:
64*6=384
Hope it helped!
Answer:
384
Step-by-step explanation:
64 miles per hour
or: 64 miles/ hour
64:1----> x:6
multiply 64 by 6 to find your answer
Today you worked from 7am to 4pm. The state you live in requires that you take a 30-minute break during any shift longer than 6 hours. this break does not count towards your hours. How many hours did you work today? Remember, 30 minutes is equal to .5 hours
Answer:
8.5 hours
Step-by-step explanation:
The bacteria took 1 hour and 40 minutes to fill the initial
bottle. Explain how it only took 10 minutes to fill 3
additional empty bottles.
Answer:
The bacteria took 1 hour and 40 minutes to fill the first bottle and it took only 10 minutes to fill 3 more. This is because of the amount of bacteria, for the first bottle there were only a few so it took them time to grow and multiply but once there were a lot the process starts to get faster. Think of it like this if you have 1 bacteria it will multiply into 2 bacteria. The 2 will multiply into 4, then 8, 16, 32, 62, 124 and so on. Do you notice how the numbers are getting bigger every time? Each number is being multiplied by 2 so the growth rate speeds up very quickly, which is why it took the bacteria 1 hour and 40 minutes to fill the first bottle and only 10 minutes to fill the other 3.
(I'm not sure but this is my theory)
Answer:
The bacteria took more time to double from 1 cell to a bottle full of cells. Once the bottle was full, each cell in the full bottle doubled, causing an additional bottle to be filled in 5 minutes. Then the 2 full bottles doubled in the next 5 minutes, causing all 3 bottles to be full
Step-by-step explanation:
Edge 2020
-4x - 16y=27
2x + 8y=-12
Answer:
X=-10 Y=0,5
X=2 Y=-2
X (B+7)=9 solve for x &Justification
Answer:
[tex]x= \frac{9}{B+7}[/tex]
Step-by-step explanation:
Let us isolate x on the left:
[tex]x= \frac{9}{B+7}[/tex]
I simply divided B+7 on both sides.
I hope this helps! :)
The value for the variable x is 9/ ( B+ 7).
What is Eqaution?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
x(B+7)=9
Now, solving for the variable 'x'
x= 9/ ( B+ 7)
Hence, the value for the variable x is 9/ ( B+ 7).
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match the graph to the equation
One of these students is chosen at random What is the probability that this student went to Paris
Answer:
1/how ever many students are going to Paris
Step-by-step explanation:
You want to put a fence around your large yard. There are two companies that you have found to do the work. They have each given you a quote for how much the work will cost. Of course, you want to find out which company will be the cheapest. The boundary of your yard is determined by five trees. The lines connecting them form the edge of your property. Shown below are the descriptions for the positions of the trees relative to your house.
TREE Position (relative to your house)
1 100 ft. east 2 40 ft east, 80 ft south 3 40 ft west, 120 ft south 4 90 ft west, 60 ft north 5 20 ft east, 110 ft north
STEP 1: On graph paper, mark the position of each of the trees on your land. Let each block of the graph paper represent a 10-foot by 10-foot square. Using a straightedge, connect Tree 1 to Tree 2, Tree 2 to Tree 3, Tree 3 to Tree 4, and so on.
STEP 2: Use the Pythagorean Theorem to find the length of each side of your property. Round
STEP 2
Length of segment 1 - 2 = √(8² + 6²) = 10 × 10 = 100 feet
Length of segment 2 - 3 = √(4² + 8²) = 4·√5× 10 = 40·√5 feet = 89.44 ft.
Length of segment 3 - 4 = √(5² + 18²) = √349 = 10·√349 feet = 186.82 ft.
Length of segment 4 - 5 = √(11² + 5²) = √146 = 10·√146 feet = 120.83 ft.
Length of segment 5 - 1 = √(11² + 8²) = √185 = 10·√185 feet = 136.01 ft.
How was this step done? Can you explain to me please?
Answer:
563
Step-by-step explanation:
because when you multiply the answer you get
Mason invested $65,000 in an account paying an interest rate of 4.6% compounded
annually. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $142,200?
Answer:
t≈17
Step-by-step explanation:
The time would take is approximately 17 years for the value of the account to reach $142,200.
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P\left(1 +\dfrac{R}{100}\right)^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P\left(1 +\dfrac{R}{100}\right)^T[/tex]
We are given that;
P = $65,000 r = 0.046 n = 1 (compounded annually) A = $142,200
Now,
To find how long it would take for the value of the account to reach $142,200, we need to solve for t using this formula.
Plugging these values into the formula, we get:
142200 = 65000 (1 + 0.046/1)^t
Simplifying and rearranging, we get:
(1.046)^t = 2.188
Taking logarithms on both sides, we get:
t log(1.046) = log(2.188)
Dividing by log(1.046), we get:
t ≈ 16.67
Rounding to the nearest year, we get:
t ≈ 17 years
Therefore, by the given compound interest the answer will be 17 years.
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decide whether enough information is given to prove that the triangle is congruent using the SAS congruence theorem. if so, write a proof. if not, explain why
Answer:
Step-by-step explanation:
Given:
ΔCAD and ΔCBD
∠A ≅∠B (Angle)
AD ≅BD (Side)
From the graph we see that
CD≅CD (Side)
because of reflexive propriety ( a line segment is congruent with itself)
If you put in order those congruencies we have SSA witch does NOT prove congruence.
we not use SAS because the angle between the sides is not congruent
The ratio of the measures of the angles of a triangle is 2:3:10. What is the measure of the smallest angle?
Answer w2
2
3
?
10
or
10
Step-by-step explanation:
In a sequence, we know that t(11)= 22. We also know that the common difference is -4.
What is t(13)?
t(13) = ______
Answer:
Step-by-step explanation:
I hope this means t_11 = 22
If it means t(11) = mx + b where x winds up being 11 and t(x) = 22, we have an entirely different problem. I'll try them both
t_11 = 22
t_11 = 22
d = - 4
what is a (where does this thing start).
L = a + (n - 1)*d
22 = a + (11 - 1)*-4
22 = a + 10*-4
22 = a - 40
a = 62
So finding t(13) is
L = 62 + (13 - 1)*-4
L = 62 + 12 * - 4
L = 62 - 48
L = 14
======================
I think this is the only way to interpret it. If you get an answer explaining it, I'd take that answer.
Answer:
t(13) = 14
Step-by-step explanation:
Given t(11) = 22 and d = - 4
Then to obtain the next term in the sequence subtract 4 from the previous term, that is
f(12) = f(11) - 4 = 22 - 4 = 18
t(13) = t(12) - 4 = 18 - 4 = 14
Factor the expression.
12p + 60
[?1(p + [ D)
Answer:
[tex]12p+60[/tex] [tex]= 12(p + 5)[/tex]
Step-by-step explanation:
Given
[tex]12p+60[/tex]
Required
Factor
[tex]12p+60[/tex]
Express [tex]12p[/tex] as [tex]12 * p[/tex] and [tex]60[/tex] as [tex]12 * 5[/tex]
So, we have:
[tex]12p+60[/tex] [tex]= 12 * p + 12 * 5[/tex]
Apply distributive property
[tex]12p+60[/tex] [tex]= 12(p + 5)[/tex]