Find the area of following rhombuses. Round your answers to the nearest tenth if necessary.
Answers
Answer:
505.4 in²
Step-by-step explanation:
½d2= 19×tan 35° = 19×0.7 = 13.3 in
d2 = 2×13.3 = 26.6 in
d1 = 2×19=38 in
the area of Rhombus =
½×38×26.6 = 505.4 in²
Related Questions
There are 4 good apples and 3 bad apples. You pick 2 apples at random. What is the probability that you pick 1 good apple and 1 bad apple?
Answers
Answer:
[tex]P(Good\ and\ Bad) = 12/49[/tex]
Step-by-step explanation:
Give
[tex]Good = 4[/tex]
[tex]Bad = 3[/tex]
Required
[tex]P(Good\ and\ Bad)[/tex]
This is calculated as:
[tex]P(Good\ and\ Bad) = P(Good) * P(Bad)[/tex]
So, we have:
[tex]P(Good\ and\ Bad) = n(Good)/Total * n(Bad)/Total[/tex]
[tex]P(Good\ and\ Bad) = 4/7 * 3/7[/tex]
[tex]P(Good\ and\ Bad) = 12/49[/tex]
Pablo deposits $5000 into an account that pays simple interest at a rate of 3% per year. How much interest will he be paid in the first 6years?
Answers
Answer:
$5900
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Simple Interest Rate Formula: A = P(1 + rt)
P is principle amountr is ratet is time (in years)Step-by-step explanation:
Step 1: Define
Identify variables
P = 5000
r = 3% = 0.03
t = 6
Step 2: Find Interest
Substitute in variables [Simple Interest Rate Formula]: A = 5000(1 + 0.03 · 6)(Parenthesis) Multiply: A = 5000(1 + 0.18)(Parenthesis) Add: A = 5000(1.18)Multiply: A = 5900Factorise x2 - 2x - 3
Answers
x= -1,3
This is the answer
The factorization of x² - 2x - 3 is (x+1)(x-3).
The given quadratic equation is,
x² - 2x - 3
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:
ax² + bx + c = 0
Hence to factorize we can write the given quadratic equation as,
⇒ x² - 3x + x - 3
⇒ x(x-3) + (x - 3)
⇒ (x+1)(x-3)
Hence,
x² - 2x - 3 = (x+1)(x-3)
To learn more about quadratic equation visit:
https://brainly.com/question/30098550
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How does the mean absolute deviation (MAD) of the data in set 2 compare to the mean absolute deviation of the data in set 1?
Set 1: 16, 15, 10, 12
Set 2: 16, 62, 15, 10, 12
The MAD of set 2 is 10 less than the MAD of set 1.
The MAD of set 2 is 13.35 more than the MAD of set 1.
The MAD of set 2 is 10 more than the MAD of set 1.
The MAD of set 2 is 13.35 less than the MAD of set 1.
Answers
Answer: B, That the M.A.D of set 2 is 13.35 more that the M.A.D of set 1.
Step-by-step explanation:
Answer:
the M.A.D of set 2 is 13.35 more that the M.A.D of set 1.
Step-by-step explanation:
the M.A.D of set 2 is 13.35 more that the M.A.D of set 1.
Find the vertex of the parabola. y = 3x2 – 30x + 77 a (-2,-5) b. (-5, -2) C. (5,2) d. (2,5) Please select the best answer from the choices provided Ο Α OB ОС D
Answers
Answer:
[tex]\text{C. }(5,2)[/tex]
Step-by-step explanation:
The x-coordinate vertex of a parabola in standard form [tex]ax^2+bx+c[/tex] is equal [tex]\frac{-b}{2a}[/tex].
In [tex]y=3x^2-30x+77[/tex], we have:
[tex]a[/tex] equals 3[tex]b[/tex] equals -30Therefore, the x-coordinate of the vertex is equal to [tex]\frac{-(-30)}{2(3)}=\frac{30}{6}=5[/tex].
To find the y-coordinate, simply substitute [tex]x=5[/tex] into the parabola's equation:
[tex]y=3x^2-30x+77,\\y=3(5^2)-30(5)+77,\\y=75-150+77,\\y=-75+77=2[/tex]
Thus, the vertex of the parabola is [tex]\boxed{(5,2)}[/tex]
I need help it please
Answers
Answer:
5 minutes of practice it shows at the bottom
2x + 5y = 17
what is x
what is y
Answers
Answer:
x = (17 - 5y)/2
y = (17 - 2x)/5
Step-by-step explanation:
nothing else can be done here.
if you are looking for actual numbers as solution, then you have forgotten to put something important here.
to solve a system with 2 variables we need 2 equations. it cannot be solved with only 1 equation.
The flags are all the same size and are space equally along the line. Calculate the length of the sides of each flag, and the space between flags by making a system of equations and solving that system..
Answers
Answer:
Step-by-step explanation:
Let the space between flags be "x" and the flag's side is "y"
2x + 3y = 80 ║ × ( - 2 )
5x + 6y = 170
- 4x - 6y = - 160 ..... ( 1 )
5x + 6y = 170 ..... ( 2 )
( 1 ) + ( 2 )
x = 10
2(10) + 3y = 80
y = 20
The space between flags is 10 cm
The flag's sides are the same size and is 20 cm
The coordinates of parallelogram UVWZ are U(a, 0), W(c − a, b), and Z(c, 0). Find the coordinates of V without using any new variables.
(a, b)
(b, 0)
(c, b)
(0, b)
Answers
Answer:
C
Step-by-step explanation:
Your welcome! :) Good luck!
Kevin paid $8.21 for 6 gallons of gas. How much did one gallon of gas cost (rounded to the nearest cent)
Answers
Answer:
$1.37 (1.368333)
Step-by-step explanation:
6 divided by 8.21
What is the 11th term of the sequence 7, -21, 63
Answers
Answer: 413343
Step-by-step explanation:
This is a geometric progression. First and foremost, we've to find the common ratio which will be:
= 2nd term / 1st term
= -21/7
= -3
The formula to find the 11th term will be:
= ar^n-1
where,
a = first term = 7
r = common ratio = -3
n = number of terms = 11
Therefore, ar^n-1 = 7 × -3^11-1
= 7 × -3^10
= 7 × 59,049
= 413343
Therefore, the 11th term of the sequence is 413343.
Find the volume of the figure shown below.
A)14 units^3
B)9 units^3
C)None of these answers
D)There’s not enough info
E)24 units^3
Answers
Answer:
E. 24 units³
Step-by-step explanation:
the volume = 4×3×2 = 24
Helppppppppppppppppppppppppppp the question is post on my page
Answers
solve the following equation algebraically ? please !
Answers
Answer: A
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
The opposite of squared is square root, so you'll have to square root 192 and you'll get the answer 13.86.
The reason it is B, because the x could have been negative, when you're squaring a negative you get a positive. that's why B is the answer because we do not know if it's the negative or positive.
GHK has been reflected over what line to create the resulting image?
Answers
Answer: y=x
Step-by-step explanation:
Solve the system of equations
4x + 2y + 1 = 1
2x − y = 1
x + 3y + z = 1
Answers
Answer:
x = 1/4
y = -1/2
z = 9/4
Step-by-step explanation:
Here we have a system of 3 equations with 3 variables:
4*x + 2*y + 1 = 1
2*x - y = 1
x + 3*y + z = 1
The first step to solve this, is to isolate one of the variables in one of the equations, let's isolate "y" in the second equation:
2*x - y = 1
2*x - 1 = y
Now that we have an expression equivalent to "y", we can replace this in the other two equations:
4*x + 2*(2*x - 1) + 1 = 1
x + 3*(2*x - 1) + z = 1
Now let's simplify these two equations:
8*x - 1 = 1
7*x - 3 + z = 1
Now, in the first equation we have only the variable x, so we can solve that equation to find the value of x:
8*x - 1 = 1
8*x = 1 + 1 = 2
x = 2/8 = 1/4
Now that we know the value of x, we can replace this in the other equation to find the value of z.
7*(1/4) -3 + z = 1
7/4 - 3 + z = 1
z = 1 + 3 - 7/4
z = 4 - 7/4
z = 16/4 - 7/4 = 9/4
z = 9/4
Now we can use the equation y = 2*x - 1 and the value of x to find the value of y:
y = 2*(1/4) - 1
y = 2/4 - 1
y = 1/2 - 1
y = -1/2
Then the solution is:
x = 1/4
y = -1/2
z = 9/4
How many 3 digits positive integers exist that when divided by 7 leave a remainder of 0
Answers
Answer:
128 numbers are divisible by 7 that leave remainder 0
Answer:
128
Step-by-step explanation:
Let's find the first 3 digit number divisible by 7.
7(12)=84
7(13)=91
7(14)=98
7(15)=105
So our first 3 digit number divisible by 7 is 105.
Let's figure out the last 3 digit number divisible by 7.
7(200)=1400
Skip a lot
7(150)=1050
Skip a little more
7(140)=980
Skipped too much
7(145)=1015
7(144)=1008
7(143)=1001
7(142)=994
So there are 142-15+1 multiples of 7 that are 3 digits long.
142-15+1
142-14
128
Instructions: Find the value of x
Please help
Answers
The two chords are the same length given by the 4 short lines through each section.
Because the chords are the same length they need to be equal distance from the center of the circle
X = 9
a Dhruv sold one second-hand car for 1,10,500 and two second-hand scooters for 7,500 each.
Answers
Answer:i actually dunno
Step-by-step explanation:
wat
Someone please help.
Answers
Answer:
Slope = -17
Step-by-step explanation:
We are given the equation of the line to be:
y = -17x + 47/3 which is in the slope-intercept form.
Recall: equation of a line in slope-intercept form takes the following format:
y = mx + b
Where,
m = slope of the line
b = y-intercept of the line
Thus, the slope of the line (m), y = -17x + 47/3 would be -17
please answer thanks
Answers
Answer:
ED = 31
DT = 20
Step-by-step explanation:
m< ESD = 90-52=38°
the distance ED = 40×tan 38° = 31.25 = 31
ET = 40 x tan (90-38) = 40×tan 52°
= 51.19= 51
the distance DT = 51-31 = 20
One of the factors of 34 is chosen at random. What is the probability that the factor is itself a two digit number?
Answers
The positive whole-number factors of 30 are:
1, 2, 3, 5, 6, 10, 15 and 30.
So, there are 8 of them. Of these, 3 have two digits. Writing each factor on a slip of paper, then putting the slips into a hat, and finally choosing one without looking, get that
P(factor of 30 chosen is a 2-digit number) = number of two-digit factors ÷ number of factors
=38=3×.125=.375
For students who first enrolled in a two year public institution in 2013, the proportion who earned a bachelor's degree in six years was 0.236. The president of a certain college believes that the proportion of students who enroll in her institution have a higher completion rate.
(a) Determine the null and alternative hypotheses.
(b) Explain what it would mean to make a Type I error.
(c) Explain what it would mean to make a Type II error.
Answers
Answer:
H0 : p = 0.236
H1 : p > 0.236
Type 1 error is committed by incorrectly rejecting a true null hypothesis
Type 11 error is committed by incorrectly accepting a false null
Step-by-step explanation:
The null and alternative hypothesis :
H0 : p = 0.236
H1 : p > 0.236
A type 1 error is made when a null hypothesis is incorrectly rejected, Hence in this scenario, a type 1 error will be committed of we conclude that the proportion who earned bachelor's degree is more Than 0.236 when the actual proportion not more than but equal to 0.236
A type 11 error is committed when we fail to reject a false null hypothesis. This means that if the actual proportion who earned a bachelor's degree is more than 0.236 and we fail to reject the null which says the proportion is not more than 0.236
In the parallelogram below x=?
Answers
Answer:
x = 12
Step-by-step explanation:
The sides are congruent
5x - 17 = 3x + 7
Subtract 3x from both sides
2x - 17 = 7
Add 17 to both sides
2x = 24
Divide both sides by 2
x = 12
Answer:
X=0.8
Step-by-step explanation:
First collect all the light terms '7' and '17' '-17+7=-10'
And '3x' and' 5x' '3x+5x=8x'
So if you put this as an equation you will have '8x=-10'
Next you do 8 divided -10
Then you get 0.8
A right triangle ABC is shown below:
The are of the triangle above will equal one-half of a rectangle that is 5 units long and __ units wide. (Input only whole numbers, such as 8) (1 point)
Answers
What is the answer to 8x < 48
Answers
Answer:
x<6
hope this helps
have a good day :)
Step-by-step explanation:
20 points & Brainliest to the one who gets ALL of them correct! NEED HELP ASAP!!! Due today!!!
Verify these Identities & SHOW YOUR WORK:
1. cosx−cosxsin²x = cos³x
2. [tex]\frac{sinx}{1+cosx}[/tex] = [tex]\frac{1-cosx}{sinx}[/tex]
3. cos⁴b−sin⁴b = 1−2sin²b
4. [tex]\frac{siny+cosy}{siny}- \frac{cosy-siny}{cosy}[/tex] = [tex]\frac{secy}{cosy}[/tex]
5. (secx−tanx)² = [tex]\frac{1-sinx}{1+sinx}[/tex]
HELP!!!
Answers
Answer:
30
Step-by-step explanation:
Answer: go on mathaway!!!
Step-by-step explanation:
This dosent really help with ur question but mathaway is free and got me through math
I really don't understand i need help asap. They were asking to find f(-8)
Answers
Answer:
i dont get it either
Step-by-step explanation:
how do you find the rate of change for a function over a given interval
Answers
Step-by-step explanation:
Differentiate it. You will be given a value of x. Substitute into the differentiated equation use the formula for rate of change. You will find the answerFormula:
[tex]\frac{\alpha y}{\alpha x} =\frac{dy}{dx }[/tex]
You have a flight at 7:30 you have 1 hour and 27 minutes to get ready and 30 minutes to get to the airport what time do you wake up
Answers
Answer:
5:33 am
Step-by-step explanation:
You need to be at the airport at 7:30
Subtract 30 minutes for travel
7:30 -30 = 7:00
You need 1 hour and 27 minutes to get ready
Subtract 1 hour
7-1 =6:00 am
Subtract 27 minutes
6:00 am - 27 minutes
5: 60 - 27 ( Remember there are 60 minutes in 1 hour)
5:33 am
You need to get up at 5:33 am
Check
5:33 plus 1 hr 27 minutes = 7:00 am + 30 minutes travel = 7:30 am