Answer:
A = 39 m²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Identify Variables
Shorter Diagonal d2 = 3m + 3m = 6m
Longer Diagonal d1 = 9m + 4m = 13m
Step 2: Find Area
Substitute into formula: A = 1/2(13m)(6m)Multiplication: A = 1/2(78m²)Multiplication: A = 39 m²A number with no variable attached is called a what
Answer:
constants
Step-by-step explanation:
That is, they're the terms without variables. We call them constants because their value never changes, since there are no variables in the term that can change its value.
The term or number with no variable attached is called a constant as in the polynomial or expression.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
A number consists of the expression with no variable.
As we know, the expression is a combination of numbers, variables, and operators.
If we take an example of the polynomial.
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm p(x) = a_0+a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
Here a₀ is a constant because the term a₀ has no variables.
Thus, the term or number with no variable attached is called a constant as in the polynomial or expression and the constant value does not change.
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Find the commission.
Earning Commission
Sales Commision Rate Commission
$750
9%
?
The commission is $
Answer:
The commission would be $67.50.
Answer:
$67.50
Step-by-step explanation:
commission amount = sale price * commission percentage / 100
The Height H(t) (in feet) of a projectile fired vertically into the air from the ground is given by the equation H(T) = -16t^2 + 96t, where t is time (in sec) after the launch.
A) How long will it take the projectile to reach its maximum height?
B) What is the maximum height?
C) How long does it take the projectile to reach the ground again.
Answer:
a) 3s
B) 144m
C) 6s
Step-by-step explanation:
Given the height modeled by the function;
H(T) = -16t^2 + 96t,
The body will reach its maximum height when dh/dt = 0 (when velocity is zero)
dh/dt = -32t + 96
0 = -32t + 96
32t = 96
t = 96/32
t = 3s
Hence it will take the projectile 3s to reach its maximum height'
B) To get the maximum height we will substitute t = 3 into the equation
H(T) = -16t^2 + 96t,
H(3) = -16(3)^2 + 96(3)
H(3) = -144+ 288
H(3) = 144m]
Hence the maximum height is 144m
C) The projectile reaches the ground at h = 0
H(T) = -16t^2 + 96t,
0= -16t^2 + 96t,
16t² = 96t
16t = 96
t = 96/16
t = 6
Hence it will take the projectile 6s to reach the ground again
In 1908, W.S. Gossett performed a sleep study on 10 subjects, comparing the number of hours of sleep obtained by each subject with and without (in that order) the application of the drug hyoscyamine. The paired differences d were as follows: 1.0, 0.8, 1.1, 0.1, - 0.1, 4.4, 1.5, 1.6, 4.6, 3.4 At the 1% significance level, is the drug effective in increasing sleep
Answer:
Since the calculated value of t= 2.8782 does not fall in the critical region so we accept H0 and may conclude that the drug is not effective in increasing sleep.
Step-by-step explanation:
d d²
1.0, 1
0.8, 0.64
1.1, 1.21
0.1, 0.01
- 0.1, 0.01
4.4, 19.36
1.5, 2.25
1.6, 2.56
4.6, 21.16
3.4 11.56
∑18.4 ∑59.76
1: We state our null hypothesis as
H0 : μd= 0 against the claim Ha: μd ≠ 0
2: The significance level is set at ∝ = 0.01
3: The test statistic under H0 is
t= d`/ sd /√n
4:The critical region is t ≥ t ( 0.005) 9 = 3.250
5:Computation:
d`= ∑d/n= 18.4/10= 1.84
Sd² = ∑(di- d`)²/n-1 = 1/n-1 [∑di²- (∑di)² /n]
= 1/9 [59.76 - (18.4)²/10]
=(59.76 - 33.856)/9
= 25.904/9
= 2.8782
6: Conclusion:
Since the calculated value of t= 2.8782 does not fall in the critical region so we accept H0 and may conclude that the drug is not effective in increasing sleep.
This is because we have taken H0 as the mean of the difference is zero.
This can only be zero when the drug is not effective.
Jamie is painting her house. Each room takes ½ of a liter of paint. If Jamie has 3 liters of paint, how many rooms can she paint? *
what is the value of x?
3x−6=21?
Answer:
X = 9
Step-by-step explanation:
Answer:
x = 9
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
if the farmer want to stop his soil from the erosion that was happening what would he need to do.
Answer:
Crop Rotation: Rotating in high-residue crops — such as corn, hay, and small grain — can reduce erosion as the layer of residue protects topsoil from being carried away by wind and water. Conservation Tillage: Conventional tillage produces a smooth surface that leaves soil vulnerable to erosion.
Step-by-step explanation:
Despite how rapidly it progresses, it affects land productivity, soil fertility, degrades water quality, and damages water drainage. ... Erosion, in turn, facilitates the process of groundwater pollution, and the stiffened structure of soil impedes the flow of water in deeper layers.
A wise man once said, “400 reduced by 3 times my age is 163.” What is his age? ( I need the step by step equation to solve this)
Answer: the wise man is 79
Step-by-step explanation:
400 - 3x = 163
400–163 =3x
237 = 3x or 3x = 237 or x = 79…
Here I will be giving a Brainiest to a good answer :D
Answer:
A. F
B. D
C. C
D. E
E. G
F. G
G. D
Step-by-step explanation:
Answer: A. 9/4
C. -1.75
D. 1.75
E -2
F-1
-2 1/2
Step-by-step explanation:
what is the slope of (0,0) , (3,3)
Answer:
The slope is 1
Step-by-step explanation:
[tex]\frac{3-0}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1
I have a picture that is 30 inches wide and 20 inches tall. I would like the
picture to be a smaller scaled copy, and it needs to be 10 inches tall. How
wide should the new picture be?*
Answer:5 inches
Step-by-step explanation:
During a thunderstorm, 4
inches of rain fell in 2 1/2
hours. What was the rate of rainfall in inches per hour?
Answer: 1.6 in per hour
Answer:
hourly rate.
Step-by-step explanation:
As others have noted, it is a simple mathematical division problem (4/2.5) and the average is 1.6 inches per hour.
However, if this is for sizing civil works such as culverts or plumbing storm water drainage systems to mitigate flooding, the highest rate per hour must be known and usually the highest ten minutes rainfall rate expressed as an hourly rate.
For example, if 4.0 inches fell over that 2.5 hours, nothing says that a rain band did not dump 3 inches in the first hour, (3 inches per hour cumulative) or 0.75 inches in a ten minute period (4.5 inches per hour rate), with the remainder of the storm tapering off to lesser rates. So the average is correct, but the peak hour is much more important for practical purposes.
Which volleyball court is longer
a. gym volleyball court
b. Olympic volleyball court
c. beach volleyball court
d. concrete volleyball court
The beach volleyball court, which accomodates teams of two players to each side, is slightly larger that its traditional counterpart, measuring 16 meters (52 feet, six inches) long and eight meters (26 feet, three inches) wide.
If an article was bought for £400 and was sold for £336 what is the loss persentages
Answer:
Hey mate!
Here is your answer > >
C.P of an article=Rs.400
S.P.of an article=Rs.336
C.P.> S.P., there is a loss
Loss=C.P.-S.P.
=> Loss=400-336
=Rs.64
Loss%=Loss/C.P.×100
=64/400×100
=16%
Hope it helps!
Thankyou ☆ ☆
Answer: itll be 64
Step-by-step explanation:
dhuiudiSBUVFPVFV WHO CARES WHAT I PUT INHERE
PLEASE HELP ME!!!!!! Write the information in the table as ordered pairs. Graph the relationship from the table.
Answer:
(3, 60) (5, 100) (8, 160) (9, 180) (12, 240)
Step-by-step explanation:
Jeremy is making a healthy ice cream using only ripe bananas and peanut butter, the recipe makes 4 servings and calls for a ratio of 5
bananas to 3 tablespoons of peanut butter if Jeremy has 30 bananas, how many tablespoons of peanut butter does he need
Tablespoons
Answer:
can u show me a pic of the question so it is easier
The healthy ice cream Jeremy is making has 30 bananas and requires 18 tablespoons of peanut butter.
What is a ratio?The ratio describes the amount of quantity in simplest form, a:b can be written as 'a/b' for convenience.
Given the healthy ice cream, Jeremy is making requires 5 bananas and 3 tablespoons of peanut butter.
From the given question itself, we can conclude that bananas and peanut butter are in direct proportion as the increase in one quantity will result in an increase of another quantity and we can write this in proportion and let the no. of tablespoons of peanut butter requires for 30 banans is x.
∴ 5 : 3 : : 30 : x.
Or
5/3 = 30/x.
5x = 90.
x = 18.
So, Jeremy needs 18 tablespoons of peanut butter for the 30 bananas he has.
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Kevin Fast pulled a CC- 177 Globemaster airplane 8.8m. he plane weighed 188 tons. How many pounds did the lane weigh?
Answer:
376000 pounds
Step-by-step explanation:
What's required of this question is to convert the given weight of plane from tons to pounds
Given
[tex]Weight = 188\ tons[/tex]
Required
Get pounds equivalent
From standard unit of measurements
[tex]1\ ton = 2000\ pounds[/tex]
Multiply both sides by 188
[tex]188 * 1\ ton = 188 * 2000\ pounds[/tex]
[tex]188\ tons = 376000\ pounds[/tex]
Hence, the weight of the plane in pounds is 376000
help i asked this 3 times i will do brainliest no troll answers!
Answer:
Number two
Exact Form:
11/2
Decimal Form:
5.5
Mixed Number Form:
5
1/2
Step-by-step explanation:
sorry I do not know one hope this helps please mark brainliest
Would someone like to help me with my math homework and the math is College for Readiness?
I will mark you BRAINLIEST
Answer:
can i help i need points
Step-by-step explanation:
If point E is the midpoint of segment AC and point D is the midpoint of segment BC, which expression represents the value of u?
A. u equals p over q
B. u = 1/2s
C. u equals q over p
D. u = 2s
Answer:
last answer D
i took the test
The expression that most effectively represents u's value would be:
D). u = 2s
What is expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
Given that,
In ΔABC, E is the midpoint in the segment AC and D is the midpoint of BC.
Now,
CE = 0.5 × AC(midpoint)
CD = 0.5 × CB (midpoint)
Thus,
CE/AC = CD/CB = ED/AB = 1/2
As ED = s and AB = u
So, u = 2s
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Jackson rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes, and then continues riding in the same direction at a slower pace for 30 more minutes. Sketch a graph of the relationship of Jackson’s distance from home over time.
Answer:
For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.
Then he stops for 20 minutes, we will represent this with a constant line.
Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.
A sketch of this situation can be seen below.
what is the slope for (1,3) and (1,-2)
Answer:
-6
Step-by-step explanation:
-2-3/1-1
PLEASE HELP ME !!!
:(
Answer:
Step-by-step explanation:
G is the incenter of ΔABC,
Incenter of a triangle is defined by the point where angle bisectors of the interior angles intersect.
10). m∠ABG = m∠CBG = 25°
11). m∠BCG = m∠ACG = 18°
Therefore, m∠BCA = m∠BCG + m∠ACG = 2×18° = 36°
12). m∠ABC + m∠BAC + m∠ACB = 180°
2(25)° + m∠BAC + 36° = 180°
m∠BAC = 180° - 86° = 94°
13). m∠BAG = [tex]\frac{1}{2}[/tex](m∠BAC) = 47°
14). Since, incenter is equidistant from all sides of the triangle,
Therefore, DG = GF = FE = 4 units
15). In right triangle BEG,
tan(25)° = [tex]\frac{\text{GE}}{\text{BE}}[/tex]
BE = [tex]\frac{\text{GE}}{\text{tan}25}[/tex]
= [tex]\frac{4}{\text{tan}25}[/tex]
BE = 8.6
16). In right triangle BEG,
cos(25)° = [tex]\frac{\text{4}}{\text{BG}}[/tex]
BG = [tex]\frac{4}{\text{cos}25}[/tex] = 4.4
17). In right triangle GEC,
sin(18)° = [tex]\frac{\text{GE}}{\text{GC}}[/tex]
GC = [tex]\frac{\text{4}}{\text{sin}(18)}[/tex] = 12.9
In 1923, a certain country underwent one of the worst periods in history of hyperinflation, which is extraordinarily large inflation in prices. At the peak of the hyperinflation, prices rose 11,000% per month. At this rate, by what percentage would prices have risen in 1 year? In 1 day? (Assume 30 days per month.)
The annual inflation rate is ___ x 10 ^ ___%
(Type whole numbers.)
The daily inflation rate is ___ %.
(Round to the nearest whole number as needed.)
Answer: 3.498 * 10^26 % ; 16.9% per day
Step-by-step explanation:
Inflation rate = 11,000 per month
Hence, price after a month :
Final price = initial price (1 + rate)
Final price = 1 + 11000/100
Final price = (1 + 110) * initial price
Final price = 111 times the initial price
Hence inflation over the 12 month period :
(111)^12 = 3.498 * 10^24
(3.498 * 10^24) * 100% = 3.498 * 10^26 %
The daily inflation rate :
Number of days = 30
30th root of 3.498 * 10^24 = 1.169
(1.169 - 1) = 0.169
0.169 * 100% = 16.9% per day
the half-life of radium-226 is about 1,590 years. How much of a 100mg sample will be left in 500 years
Aa Bb Cc Dd Ee Ff Gg Hh Ii Jj Kk Ll Mm Nn Oo Pp Qq Rr Ss Tt Uu Vv Ww Xx Yy Zz
I know the best answer ever (*says sarcastically*)
Medicare Hospital Insurance The average yearly Medicare Hospital Insurance benefit per person was $4064 in a recent year. Suppose the benefits are normally distributed with a standard deviation of $460. Round the final answers to at least four decimal places and intermediate z-value calculations to two decimal places.
Answer:
The answer is "0.0764"
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\to \mu = \$ \ 4064\\\\\to \sigma = \$ \ 460 \\\\\to \sigma \bar{x} = \frac{\sigma}{\sqrt{n}}\\\\[/tex]
[tex]= \frac{460}{\sqrt{21}}\\\\ = \frac{460}{4.58257569}\\\\=100.3802[/tex]
[tex]\to P(\bar{x}< \$ \ 3920) = \frac{P((\bar{x} - \mu \bar{x})}{\frac{\sigma \bar{x}<(3920 - 4064)}{100.3802)}}[/tex]
[tex]\to P(z < -1.43) = 0.0764 \\\\\to P(\bar{x}< \$ \ 3920) = 0.0764\\\\[/tex]
Name the subset(s) of real numbers to which each number belongs. Then order the numbers from least to greatest.
45−−√ , 16/5 , −1
Answer:
I'm assuming 45−−√ is [tex]\sqrt{45}[/tex], and that it belongs to the subset of irrational numbers.
16/5 is a rational number, and -1 is an integer.
All numbers belong to the subset of real numbers.
Step-by-step explanation:
Hope this helped!
Enter the value for x
that makes the equation 16=−4(x−1)+4
true.
Answer:
-2
Step-by-step explanation:
16=-4x+4+4
16=-4x+8
4x=8-16
4x=-8
x=-2
Tthe required value of x is -2 for which the given expression is true.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
16 = -4(x - 1) + 4
16 - 4 = -4(x - 1)
x - 1 = 12 / -4
x = -3 + 1
x = -2
Thus, the required value of x is -2 for which the given expression is true.
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Would like to help me with my math homework?
Math homework is on College for Readiness
High School
Answer:
I could try to help
Step-by-step explanation:
Two airplanes leave the same airport heading different directions. After 2 hours, one airplane has traveled 710 miles and the other has traveled 640 miles. Describe the range of distances that represents how far apart the two airplanes can be at this time
Answer:
Step-by-step explanation:
710 + 640 = 1350m