Answer:
28m²
Step-by-step explanation:
I don't really know how to explain so I'm just going to say its 28m²
The area of the part with cement will be 28 square meters.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that the image has the backyard area in which some part is cemented and the remaining part is grass.
The area of the cemented part will be calculated as:-
Cemented area = Total area - Area of grass
Cemented area = ( 6 x 6 ) - ( 4 x 2 )
Cemented area = 36 - 8
Cemented area = 28 square meters
Therefore, the part with cement in the backyard will have an area of 28 square meters.
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The ratio of Dawn to Mandy's savings is 6 : 7. The ratio of Mandy to Belle's savings is 2 : 3. Find the ratio of Dawn to Belle's savings. (Please leave your answer in the simplest ratio.)
The savings are illustrations of ratio, and the ratio of Dawn to Belle's savings in the simplest ratio is 4 : 7
How to determine the ratio?The given ratios are:
Dawn : Mandy = 6 : 7
Mandy : Belle = 2 : 3
Multiply the second ratio by 3.5.
So, we have:
Mandy : Belle = 2 * 3.5 : 3 * 3.5
Evaluate
Mandy : Belle = 7 : 10.5
So, we have:
Dawn : Mandy = 6 : 7
Mandy : Belle = 7 : 10.5
Mandy's ratios in both equation are the same.
So, we have:
Dawn : Mandy : Belle = 6 : 7 : 10.5
Remove Mandy's ratio
Dawn : Belle = 6 : 10.5
Simplify
Dawn : Belle = 4 : 7
Hence, the ratio of Dawn to Belle's savings is 4 : 7
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A personal trainer determines that an individual will get the most benefit from a workout if they keep their heart rate at an average of 150 beats per minute during workouts. To determine if the individual is doing so successfully, a random sample of 30 workouts is selected from their fitness watch. A 95% confidence interval for these workouts reveals that the true mean heart rate while working out is between 158 and 167 beats per minute. Based upon this interval, what conclusion should be made about the hypotheses: H Subscript 0 Baseline: mu = 150 versus H Subscript alpha Baseline: mu not-equals150 where μ = this individual’s true mean heart rate during working out at α = 0.05?
Reject H0. There is convincing evidence that the mean heart rate from these 30 workouts differs from 150.
Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.
Fail to reject H0. There is not convincing evidence that the mean heart rate from these 30 workouts differs from 150.
Fail to reject H0. There is not convincing evidence that this individual’s true mean heart rate while working out differs from 150.
Using the confidence interval, it is found that the correct conclusion regarding the hypotheses test is given by:
Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.
What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 150, that is:
[tex]H_0: \mu = 150[/tex]
At the alternative hypotheses, it is tested if the mean is different of 150, hence:
[tex]H_0: \mu \neq 150[/tex].
The confidence interval is (158, 167). Since it does not contain 150, we reject the null hypotheses, hence the correct option is:
Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.
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The side length of an equilateral triangle is 5 cm.
Find its perimeter
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
The side length of an equilateral triangle is 5 cm. Find its perimeter.
[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
We are given that the triangle is equilateral.
"equi" means "equal" and "lateral" means "sides"
✯ So an equilateral triangle has 3 equal sides.
We are also given that one side is equal to 5 cm.
If one side is equal to 5 cm, and the triangle's equilateral, then the other two sides are equal to 5 cm.
◈ In order to find the perimeter of a shape, you should add all of its side lengths together.
✯ Now, we need to find the perimeter, which we can find using the following formula:-
[tex]\bold{Perimeter_{(triangle)}=a+b+c}[/tex]
Where a, b, and c are side lengths of the triangle.Now, we add them:-
[tex]\hookrightarrow\sf{P=5+5+5}[/tex]
So we conclude that the perimeter is equal to:-
[tex]\hookrightarrow\sf{P=15\:cm}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
.................................................
.
Answer:
MARK ME Brainliest PLEASEStep-by-step explanation:
which expression is equivalent to 2^5*2^x?
Simplify (3^-2)^4
O A. 1 /3^2
O B. 3^2
O c. 3^8
OD.1/3^8
[tex](3^{-2})^4 = 3^{-2 \times 4} = 3^{-8} = \dfrac 1{3^8}\\\\\text{Hence the answer is D.}[/tex]
Answer:
1/3^8
Step-by-step explanation:
[tex]\hookrightarrow (3^{-2} )^{4} \\[/tex]
As,
x⁻²=1/x²
Then,
[tex]\hookrightarrow (\frac{1}{3^{2} } )^{4} \\\\\hookrightarrow (\frac{1}{9} )^{4} \\\\\hookrightarrow ((\frac{1}{3} )^{2})^{4} \\\\\hookrightarrow (\frac{1}{3})^{8}[/tex]
Need help with 21-22
Answer: 21 is b. 22 is c
Step-by-step explanation: do u need explanation.. because the questions are multiple choice???
Determining the frequency factor, b
the period is…
Using it's concept, it is found that the period of the function graphed is of 2.244 seconds.
What is the period of a function?The period of a function is given by the distance between it's repetitions.
In this graph, one example is that the value of 6 repeats at t = 1.87 and at t = 4.114, hence the period in seconds is given by:
P = 4.114 - 1.87 = 2.224.
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At what nominal rate, compounded semi-annual, would $6,000.00 have to be invested to amount to
$9,066.41 in 6 years?
The rate would be
%. (If needed, round to 1 decimal place.)
Find the length of each arc. Round your answers to the nearest tenth.
5 m
285
Cuál es la respuesta???math
The length of the arc with a central angle of 285 degrees and a radius of 5 meters is 24.9 meters
How to determine the arc length?The given parameters are:
Central angle = 285Radius, r = 5 mThe length of the arc is calculated using:
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
So, we have:
L = 285/360 * 2 * 3.14 * 5
Evaluate
L = 24.9
Hence, the length of the arc is 24.9 meters
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Please solve ASAP:
A bowl contains 10 red apples and 10 green apples. Leyan selects apples at random without looking at them. How many apples must she select to be sure of having at least three apples of the same color.
(use Generalized Pigeonhole Principle)
(show your work)
=======================================================
Explanation:
R = red apple
G = green apple
The best case scenario is when Leyan picks 3 red apples in a row (or 3 green apples in a row). So either RRR or GGG. However, she might not be so lucky.
We have to consider the opposite side of the spectrum and consider the worst case scenario.
Consider the case of alternating colors. If she selects four apples and the colors alternate, then she might have something like RGRG. There are two of each color so far.
Whatever she picks next will mean she has 3 of the same color. So it could be RGRGR or RGRGG. Therefore, she must select 5 apples to guarantee she has at least 3 of the same color.
--------------------
Extra info (optional section)
If you are curious about how many apples are needed to guarantee she has 3 of both colors, then she would have to select 13 apples.
Why? Let's say she has really bad luck and selects 10 red apples in a row. The 3 extra selections are guaranteed to be green.
The figure below shows three quadrilaterals on a coordinate grid: A coordinate grid is shown from positive 8 to negative 8 on the x axis and from positive 8 to negative 8 on the y axis. An image of a rectangle labeled M is shown on ordered pair negative 1, negative 1 and negative 3, negative 1 and negative 3, negative 2 and negative 1, negative 2. Another image of a rectangle labeled N is shown on ordered pair negative 2, negative 2 and negative 6, negative 2 and negative 6, negative 4 and negative 2, negative 4. Another image of a rectangle labeled O is shown on ordered pair 1, 1 and 1, 2, and 3 , 2 and 3, 1. Which of the following statements is true about the three quadrilaterals? N and O are similar and congruent. M and N are similar and congruent. M and O are similar but not congruent. M and N are similar but not congruent.
The quadrilateral A and quadrilateral B are similar but not congruent. Then the correct option is A.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in a series is called a quadrilateral.
If a polygon is four-sided (a quadrilateral), the sum of its angles is 360°
The figure below shows three quadrilaterals A, B, and C on a coordinate grid.
Then the quadrilateral A and quadrilateral C are similar and congruent too.
The quadrilateral A and quadrilateral B are similar but not congruent.
Similarly, the quadrilateral C and quadrilateral B are similar but not congruent.
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Truman's father is designing a toy car ramp for him. His dad determined that the measure of angle x needs to be increased by 20
What is the measure of the new angle?
Answer:
20°
Step-by-step explanation:
Solution,
Here,
→(x+20°)+160°=180°[Sum of a straight line is 180°]
→x=180°-180°
→x=0°
Again,
→x+20°
→0°+20°
→20°
Answer:
I have the same problem as you and it told me that it’s 40
Step-by-step explanation:
please answer this question I need to get it right :(
Answer: E ; (0,12) , (9,0)
Explanation: To find coordinates by a scale factor is by multiplying.
What we need to do is to multiply the coordinate points by the scale factor.
Find A' is use A 's coordinate. A 's coordinates are (0,4)
3 x 0 = 0
3 x 4 = 12
A' coordinates are : (0,12)
Using the same technique with C'.
3 x 3 = 9
3 x 0 = 0
C' coordinates are : (9,0)
PLSS HELP ME WITH THIS !! 20 POINTSS
Answer:
Constant of Proportionality is k = y/x
Step-by-step explanation:
k = 0.5/1 = 0.5
Answer:
k = 0.5
Step-by-step explanation:
the constant of proportionality is the slope of the line
using the point (1, 0.5 ) , then
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{0.5}{1}[/tex] = 0.5
A Farmer Leans a 12 ft Ladder Against A Barn. The Base of the Ladder Is 6ft From The Barn.l To The Nearest Foot, How High on the Barn Does The Ladder Reach???
Answer:
10 ft to nearest foot.
Step-by-step explanation:
We use the Pythagoras theorem:
12^2 = 6^2 + h^2 where h is the height on the barn
h^2 = 12^2 - 6^2
h^2 = 144 - 36 = 102
h= √108 = 10.39
For a tiger, there are approximately 4.2 lbs, of muscle for every 7.4 lbs. of body weight. How much of the weight is muscle on a 563 lb. tiger?
Answer:
320
Step-by-step explanation:
563/7.4=76
76*4.2=320
Manny buys a new grill that costs $375. The grill is discounted 22% and sales tax is 6.5%. How much does Manny pay for the grill? ( NEED HELP ASAP!!)
Answer:
$310.05
Step-by-step explanation:
Method 1: Find the amount of 22% discount and subtract from original price, and find the amount of 6% tax and add to discounted price.
Original price: $375
Discount of 22%
22% of $375 = 0.22 × $375 = $82.50
Price after discount (but before tax): $375 - $82.50 = $292.50
Sales tax of 6%
6% of $292.50 = 0.06 × $292.50 = $17.55
Price after discount and tax: $292.50 + $17.55 = $310.05
Method 2: Add and subtract the discount percent and the tax percent first, then multiply.
Original price: $375
The discount is 22%.
The original price is 100%.
Subtract 22% from 100%: 100% - 22% = 78%
The discounted price is 78% of the original price.
Once you have the discounted price, tax is 6%.
The new discounted price is 100%. Add 6% to get 106%.
The price with tax is 106% of the discounted price.
106% of 78% of $375 = 1.06 × 0.78 × $375 = $310.05
Answer: $310.05
Prompt
How would paying off the lowest outstanding balance credit card first be beneficial over paying off the one with the highest
interest rate?
Answer:
NOT: Actually paying the one with the highest interest rate is logically the right thing to do, because you can shorten the amount that you spent on interest or charges by month, but paying off the lowest outstanding balance credit card first makes sense if you could transfer the interest balance which is the highest ...
Step-by-step explanation:
Answer:
Pay at least the minimum payment on all credit cards each month to avoid penalties. After that, work toward paying off the debt on the card with the highest interest rate. While some advocate for paying off your smallest debt first because it seems easier, you’ll save more on interest over time by chipping away at high-interest debt.
Step-by-step explanation:
100% on edge
what is the slope-intercept equation of the line below?
Answer:
Step-by-step explanation:
(-1, 1) (1, -3)
(-3 - 1)/(1 + 1)= -4/2 = -2
y - 1 = -2(x + 1)
y - 1 = -2x - 2
y = -2x - 1
answer is A
please type the write answer
Step-by-step explanation:
the only thing that I can tell you about it
Select the correct vocabulary word from each drop-down menu to correctly complete the sentences.
A(n)
Choose...
is a chore, but it is not a game.
A(n)
Choose...
is a bond, but it is not a separation.
An ERRAND is a chore, but it is not a game and A CONNECTION is a bond, but it is not a separation.
What is Errand?An ERRAND is a chore, but it is not a game.
The correct vocabulary word from each drop-down menu that correctly complete the first sentences is errand.
What is Connection?A CONNECTION is a bond, but it is not a separation
The correct vocabulary word from each drop-down menu that correctly complete the second sentences is connection.
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b) Find
the sum of the series 72 +70+68+ + 40
At the second stop sign, Rowena skids to a quick stop. Her bike leaves a 7-foot skid mark in the sand. How many inches long is the skid mark?
Answer:
84
Step-by-step explanation:
There are 12 inches in a foot. We have 7 feet. To find how many inches it is, all we do is multiply 7 by 12, which if we do, we get 84.
Hope this helps!
Answer:
84
Step-by-step explanation:
Solve the quadratic equation by using either a numeric or a graphic approach. x squared minus 16 x minus 64 = 0 a. x = -11.1 or x = -12.4 c. x = 16.3 or x = -2.9 b. x = 19.3 or x = -3.3 d. x = 1.3 or x = -3.4
Answer:
B.
Step-by-step explanation:
[tex]x^2 - 16x - 64 = 0[/tex]
[tex](x-8)^2 = 128[/tex]
[tex]x = 8 + \sqrt{128}[/tex]
or
[tex]x=8-\sqrt{128}[/tex]
so x = 19.3
or x = 3.3
3) A customer in a bookstore is interested in eleven books on sale.
How many ways can she select three books to buy?
Which expression is equivalent to a^7
Answer:
[tex]\sqrt{a^{6} *a}[/tex]
Step-by-step explanation:
when multiplying exponents, as long as the base is the same, you add the power. [tex]a^{6}*a^1=a^(6+1)=a^7[/tex]
How much would you have to
deposit today to have an
accumulated amount of
$20,000 in 20 years if yearly
interest is 4.75% compounded
continuously?
Answer:
If it went up it would be: 50596.35 and if it went down it would be: 7556.66
Step-by-step explanation:
Here will be the function if it went up:
20000(1+0.0475)^20
Here’s if it went down:
20000(1-0.0475)^20
Sum and Difference Identities
Find the value of the expression.
cos(-pi/12)
What would -pi/12 be the sum or difference of?
Notice that
1/6 - 1/4 = -1/12
Then
cos(-π/12) = cos(π/6 - π/4)
cos(-π/12) = cos(π/6) cos(π/4) + sin(π/6) sin(π/4)
cos(-π/12) = (√3/2) (1/√2) + (1/2) (1/√2)
cos(-π/12) = (√6 + √2)/4
Rita reads 48 chapters of a book in 6 hours.
What is her rate in chapters per hour?
Answer:
To find Rita's rate per hour, all you have to do is divide 48/6 which 8. This means that Rita reads 8 books per hour
Step-by-step explanation: