Answer/Step-by-step explanation:
Given that a and b are two corresponding sides of two similar figures, it follows that the ratio of their areas = a²/b².
We would use the above knowledge to solve the questions given as follows:
✔️The first pair similar of shapes:
Missing area = x cm²
Therefore,
x/9 = 8²/4²
x/9 = 64/16
x/9 = 4
Cross multiply
x = 4 × 9
x = 36 cm²
✔️The second pair similar of shapes:
Missing area = x cm²
Therefore,
x/240 = 8²/32²
x/240 = 64/1,024
Cross multiply
x*1,024 = 64*240
x*1,024 = 15,360
Divide both sides by 1,024
x = 15,360/1,024
x = 15 cm²
✔️The third pair similar of shapes:
Missing area = x cm²
Therefore,
x/40 = 3²/2²
x/40 = 9/4
Cross multiply
x*4 = 9*40
x*4 = 360
Divide both sides by 4
x = 360/4
x = 90 cm²
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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Martin ran 6.5 miles in one hour. At that speed, how many miles will he
three hours?
Answer:
19.5 miles
Step-by-step explanation:
6.5 mph means that each hour, he runs 6.5 miles.
So you already know how much he runs per hour.
6.5 mph x 3 h = 19.5mi
Coach McCarthy bought 6 soccer balls for 150$ which table correctly shows equivalent ratio for this cost
Answer:
Step-by-step explanation:
Hello, is there a picture along with this question? A table or a photo you can attach to this?
But I know which problem you're talking about and it's table B.
Answer and Explanation:
A NUMBER OF BALLS 1. 2. 3. 4. 5. 6.
COST $25 $50 $75 $100 $125 $150
Explain:
The table is shown above. ↑
What I did was $150 ÷ 6 which I got $25.
25 x 1 = 25
25 x 2 = 50
25 x 3 = 75
25 x 4 = 100
25 x 5 = 125
25 x 6 = 150 soccer balls
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
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%.
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:
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
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
Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side SP.
Round your answer to the nearest tenth. Figures are not drawn to scale.?
Answer:
bru
Step-by-step explanation:
bru
Answer:
Provide the picture needed for in order to get this question answerd
Step-by-step explanation:
What is the measure of the missing angle?
Answer:
42 or 48
Step-by-step explanation:
It's a acute angle so it's that one or that one.
Answer:
42 degrees
Step-by-step explanation:
180-132 = 48
90 + 48 = 138
180 - 138 = 42
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:
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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Can yall please help me with this question
Answer:
B.
Step-by-step explanation:
can someone pls help with this question :)
Answer:
Step by step
Step-by-step explanation:
I need points lol
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
match the graph to the equation
A boat rental company has two kinds of boats, rowboats and motorboats. The expressions below represent the cost, in dollars, for renting each kind of boat for x number of hours.
Cost of a rowboat rental: 8.5x+3
Cost of motorboat rental: 17.50x+25
Which expression shows how many more dollars it costs to rent a motorboat than a rowboat for x hours?
A. 8x+22
B. 9x+22
C. 9x+28
D. 26x+28
Answer:
c
Step-by-step explanation:
i think
A person works 40 hours per week earns 59,70 per year, estimate that persons hourly wage by rounding to the nearest ten thousand. Use the estimate that there are 50 weeks in the year
Answer:
he earns about 120 bucks a week
Step-by-step explanation:
There are 168 hours in a week and, so if the hours in 5970 divided by 50 equals 119.4 (possibly irrelevant) but if he gets paid 5970 per year and works 0.57 hours per day (40 divided by 24) and works about 1.666_ days a week than that would equal 120.85
Evaluate the following expression when a=4,b=2 , and c=9 c/3 + A
Answer: 7
Step-by-step explanation:
since c = 9 and A = 4 it would make the equation 9/3 + 4
9/3 + 4= 7
Answer:
so 9/3+4=7
Step-by-step explanation:
A line has a slope of -8 and a y-intercept of 1 what is its equation in slope intercept form
Answer:
efm.gkkkkkkkkkfqwf,,,,,,,,,,,,,,,,,,,,,,,,,,,kwheeeeelllllg;o54kjhhhhhhhhhhhhhhh;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjej5kop55ijjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Step-by-step explanation:
Answer:
y=-8x+1
just plug in the given numbers
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
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
Find the value of x
Answer:
x = 6
Step-by-step explanation:
Verticle angles are formed when two lines intersect. The angles opposite each other are congruent, those angles are called vertical angles.
Using this knowledge, one can say;
3x + 2= 20
Use inverse oeprations to solve for "x"
3x + 2 = 20
-2 -2
3x = 18
/3 /3
x = 6
Help ASAP thank you !,!,
Answer:
9.25x [tex]\geq[/tex] 242
Step-by-step explanation:
The equation can be setup like this:
9.25x + 12L [tex]\geq[/tex] 342.
We know how many times we mowed, 10.
We can now plug in 10 for L and get this as our equation:
9.25x + 12(10) [tex]\geq[/tex] 342
Simplifying further gives us 9.25x [tex]\geq[/tex] 242.
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.
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
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:
-4x - 16y=27
2x + 8y=-12
Answer:
X=-10 Y=0,5
X=2 Y=-2
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.
Write an equation to represent the measures of the angle