Answer:
Step-by-step explanation:
3n + 5d = 20.25
24n + 40d = 162
8n + 8d = 38
-24n - 24d = -114
24n + 40d = 162
-24n - 24d = -114
—————————
16d = 48
d = 3
A drive costs $3
3n + 5(3) = 20.25
n = 1.76
A notebook costs $1.75
In parallelogram ABCD, base AD is 15 and side AB is 8. What are the height and area of paralelogram ABCD if mDAB is 20?
Step-by-step explanation:
✰ [tex] \underline{ \underline{ \large{ \tt{G\: I \: V \: E \: N}}}} : [/tex]
AD = 15 , AB = 8 , [tex] \angle[/tex] DAB✰ [tex] \underline{ \underline{ \large{ \tt{T \: O \: \: F\: I \: N \: D}}}} : [/tex]
Height & Area of the given parallelogram✰ [tex] \underline{ \underline{ \large{ \tt{S \: O
\: L \: U \: T\: I\: O \: N}}}} : [/tex]
In right angled triangle ABE :
Hypotenuse ( h ) = 8Perpendicular ( p ) = h [ height ][tex] \theta[/tex] = 20°Now , Using trigonometric ratio :
[tex] \large{ \tt{Sin \theta \: = \: \frac{Perpendicular}{Hypotenuse} }}[/tex]
Plug the known values :
⟶ [tex] \large{ \tt{ Sin(20) = \frac{h}{8} }}[/tex]
⟶ [tex] \large{ \tt{0.34 = \frac{h}{8}}} [/tex]
⟶ [tex] \large{ \tt{h = 0.34 \times 8}}[/tex]
⟶ [tex] \large{ \tt{h = 2.72}}[/tex]
Now , We have :
Base ( b ) = 15Height ( h ) = 2.72Finding the area of a parallelogram whose base and height are 15 and 2.72 respectively :
❀ [tex] \underline{ \underline{ \text{Area \: of \: parallelogram = \tt{b *\: h}}}}[/tex]
⟶ [tex] \large{ \tt{A = 15 *2.72}}[/tex]
⟶ [tex] \large{ \tt{A = 40.8 \: {units}^{2} }}[/tex]
Hence , Our final answer :
[tex] \large{ \boxed{ \sf{Height \: ( \: h \: ) = 2.72 \: units}}}[/tex]
[tex] \large{ \boxed{ \sf{Area \: of \: parallelogram \: ( \:A \: ) = \: 40.8 \: {units}^{2} }}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
# [tex] \underbrace{ \tt{Carry \: On \: Learning}}[/tex] !! ✎
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Solve the quadratic equation numerically (using tables of x- and y- values).
(x +2) (x + 3) = 12
a.
x = -1 or x = 3
c.
x = -6 or x = 1
b.
x = 2 or x = -3
d.
x =1 or x = -1
Please select the best answer from the choices provided
A
B
C
D
benceA yada D bilemedim
Answer:
to whoever else needs it, the answer is c
Step-by-step explanation:
just trust me bro
someone help me plsssssss
Answer:
i believe b if not b im sorry
Step-by-step explanation:
If desserts are randomly made where each option is equally likely in each category, what is the probability you would get a dessert with a cone?
A) .4
B) .5
C) .6
D) .7
Answer:
B) .5
Step-by-step explanation:
two items, divide 1 by 2, get 1/2 becomes 0.5
Answer:
so 4546b can get brainliest. Also on the other on I answered too.
Step-by-step explanation:
What is a in the parallelogram
Find the Area: 12 ft 12 ft
a=12 ft
Po=(0.25×π×a²)
Pc=a²+0.5×Po
Pc=a²+0.5×(0.25×π×a²)
Pc=a²×(1+0.5×0.25×π)
Pc=a²×(1+0.5×0.25×π)
Pc=144×(1+0.5×0.25×π)
Pc≈200.55 ft²
Please answer fast I need the Answer
Answer:
just do it urself
Step-by-step explanation:
The length of a rectangle is 3 meters greater than 2 times the width, The perimeter of rectangle is 30 meters
Answer: 1= A/w
Step-by-step explanation:
The graphs below have the same shape. What is the equation of the blue graph? 
Answer:
c
Step-by-step explanation:
Find the domain of y = log(2 - 4x).
Answer:
x<1/2
Step-by-step explanation:
3x -5x + 8x = 4x + 18
Answer:
x = 9
Step-by-step explanation:
6x = 4x + 18
6x - 4x = 18
2x = 18
x = 9
Answer:
-9
Step-by-step explanation:
3x−5x+8x=4x+18
Step 1: Simplify both sides of the equation.
3x−5x+8x=4x+18
3x+−5x+8x=4x+18
(3x+−5x+8x)=4x+18(Combine Like Terms)
6x=4x+18
6x=4x+18
Step 2: Subtract 4x from both sides.
6x−4x=4x+18−4x
2x=18
Step 3: Divide both sides by 2.
2x
2
=
18
2
Given: F(x) = 3x2+ 1, G(x) = 2x - 3, H(x) = x
F(3) + G(4) - 2H(5) =
Answer:
These are functions, you must operate accordingly
Step-by-step explanation:
is the 2 in 3x2 an exponent
if it is the answer is 81
A: l = h - 7.0
B: l= 9/16h
C:h = 9/16L
D:h = L - 7.0
Answer:
A
Step-by-step explanation: The answer is A
2. In the figure, is an exterior angle to triangle .
(a) What is the angle measurement of Angle 3. Explain the angle relationship you used.
(b) What is the angle measurement of Angle 4. Explain the angle relationship you used.
(c) What is angle relationship between angles 3 & 4? What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar between the two? What is different?
(d) The combination of which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.
Answer:
PLZ JUST SHOW YOUR WORK ON A PICE OF PAPER AND PLZ LABLE THEM A, B, C, D IF YOU DO U WILL BR MARKED BRAINLY'S.
Answer:a
Step-by-step explanation:
⇒ d + e + f = b + a + a + c + b + c
⇒ d +e + f = 2a + 2b + 2c
= 2(a + b + c)
But, according to triangle angle sum theorem,
a + b + c = 180 degrees
Therefore, ⇒ d +e + f = 2(180°)
= 360°
Answer:
I only know a and b so don't hate me...
Step-by-step explanation:
Part A)
Angle 3 is 103° because 77° + ∠3= 180° and ∠3 = 180° - 77° = 103°
Part B)
Angle 4 is 77° because ∠3 + ∠4 = 180° and ∠4 = 180° - 103° = 77°
Solve the Antiderivative.
Answer:
I got the same as the top so I think that's the answer
rename 2 6/12 as a mixed number with a fraction greater than 1.
If the ratio of AB:BC is 7:4,
what is the length of AB?
If the ratio of AB:AC is 8:7, what is the length of AC?
PLZ HELP
Answer:
The answer will be :-
2. AB = 31.5 in
3. AC = 5.25 in
HELPPPPPP MEEEE PLEASE AND THANK YOU ILL MARK YOU BRAINLIEST
What is the area of the rectangle in the coordinate plane?
Answer:
70 square units
Step-by-step explanation:
14 x 5 = 70 square units
Hope that helps!
(a) Calculate the mean, median, and mode of the data.
If your answer is not a whole number, enter it as number rounded to the nearest integer.
Mean =
60
Median =
60
Mode = 61
(b) What measure of central tendency, if any, best represents the data?
Mean
Median
Mode
All three represent the data equally well
Answer:
Step-by-step explanation:
what you see mode mean median;what i see the moleecur stricture of 4dsn_eix+dwk x sjsw39i4
A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1051 and a standard deviation of 194. Scores on the ACT test are normally distributed with a mean of 19 and a standard deviation of 4.7. It is assumed that the two tests measure the same aptitude, but use different scales.
Required:
a. If a student gets an SAT score that is the 62-percentile, find the actual SAT score.
b. What would be the equivalent ACT score for this student?
c. If a student gets an SAT score of 1563, find the equivalent ACT score.
Answer:
The answer is "1110, 20.4, and 31.408"
Step-by-step explanation:
For point a:
Given:
[tex]\to mean\ ( \bar{x})=1051\\\\\to standard \ deviation \ (\sigma)=194\\\\\to P(Z<=z)=0.62\\\\\to z=0.3055\\[/tex]
Calculating the SAT score:
[tex]=1051+0.3055 \times 194 \\\\ =1110.267 \approx 1110[/tex]
For point b:
Given:
[tex]\to mean \ \bar{x}=19\\\\ \to standard \ deviation \ (\sigma) =4.7\\\\[/tex]
Calculating the equivalent ACT score:
[tex]=19+0.3055 \times 4.7 \\\\ =20.43585 \approx 20.4[/tex]
For point c:
[tex]\to SAT \ Score =1563\\\\\to z=\frac{(1563-1051)}{194}= \frac{512}{194}=2.64\\\\[/tex]
Calculating equivalent ACT score:
[tex]=19+2.64 \times 4.7 \\\\=31.408[/tex]
9. Convert to fractions and write in simplest form.
A) 0.02
B) 12%
C) 0.5%
D) 1.12
Answer:
A) 1/50
B) 6/5
C) 1/2
D) 28/25
Which of the following choices describes the sequence 12, 17, 22, 27, 32,…?
A. each term has two more than the previous term
B. each term has five more than the previous term
C. each term is twice the previous term
D. None of these choices are correct.
Alexandra missed 52 questions on her multiple choice science final and earned a
grade of 74%. How many total questions were on the final exam?
Answer:
Step-by-step explanation:
100-74-26
26%->52
100%->52÷26×100
= 200
Write the system of equations in slope intercept form.
Show ALL of your work!
y + 2x = 0
2y = -2 - 6
I will mark you brainliest if you get the question right
Answer:
the answer of this question is
x+13+10x+13+2x-2=180
13x+24=180
13x=156
x=12
q=10.12+13
123
Answer:
P = 25
Q = 133
R = 22
Step-by-step explanation:
x + 13 + 10x + 13 + 2x - 2 = 180 add x's
13x + 13 + 13 - 2 = 180 add number's on left
13x + 24 = 180 subtract 24 from both sides
13x = 156 divide both sides by 13
x = 12
x + 13 = 12 + 13 = 25
10x + 13= 10(12) + 13 = 133
2x -2 = 2(12) - 2 = 22
If a man is driving at a rate of 50 km per hour, how many kilometers will he travel in 30 minutes? A. 25 km B. 30 km C. 150 km D. 180 km
Answer:
A. 25 km
Step-by-step explanation:
1 hour = 60 minutes
30 minutes is a half of an hour, therefore
50 / 2 = 25
Answer:
a, 25km
Step-by-step explanation:
i dont need brainliest but thx
im jamming to rick astley right now its so fun
This is hard please solve it for brainly.
Answer: C
Step-by-step explanation: you just multiple 40 by 4
Answer:
C) 160
Step-by-step explanation:
multiply each side by 40
the 40 from x/40 is eliminated and then you are left with x = 160
what is 0.46 as a fraction in simplest form, a fraction of 100, and a percent
Answer:
46/100
23/50
46%
Answer:
bleh
Step-by-step explanation:
so that da other guy can get brainliest
A company estimates that 0.5% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $200.
If they offer a 2 year extended warranty for $11, what is the company's expected value of each warranty sold?
Answer:
The company is expected to make [tex]\$ 1[/tex] on every extended warranty sold.
Step-by-step explanation:
Let [tex]X[/tex] denote whether a product with the extended warranty requires replacement in that two years. ([tex]X\![/tex] would be a random variable.) Assume that [tex]X = 1[/tex] means that the product requires replacement, and [tex]X = 0[/tex] otherwise.
Assume that this product requires replacement in that two years. That is: [tex]X = 1[/tex]. The company would then bear a cost of [tex]200 \times 1 =200[/tex] for replacing this product (since [tex]X = 1\![/tex], that cost would be the same as [tex]200 = 200 \times 1 = 200\, X[/tex].)
On the other hand, assume [tex]X = 0[/tex] (that is: this product does not require replacement in that two years.) The company would not need to pay for replacing this product. Since [tex]X = 0\![/tex], the expression [tex]200\, X[/tex] would still represent the cost for the company for this warranty.
Either way, [tex]200\, X[/tex] would denote the replacement cost that the company would bear for this product. However, given that the company would charge [tex]\$ 11[/tex] for the extended warranty, the net revenue of the company on this warranty would be [tex]((-200) \, X + 11)[/tex]. (An earning of [tex]\$11 \![/tex] minus a spending of [tex]200\, X \![/tex].)
The question states that [tex]0.5\%[/tex] of the products would need replacement in this period. In other words, the expected value of [tex]X[/tex] would be [tex]\mathbb{E}(X) = 0.005[/tex].
The expected revenue of the company on this warranty would be:
[tex]\mathbb{E}(200\, X + 11)[/tex].
Apply the linearity of expected values to find the value of [tex]\mathbb{E}(200\, X + 11)[/tex]:
[tex]\begin{aligned}& \mathbb{E}((-200)\, X + 11) \\ &= (-200)\, \mathbb{E}(X) + 11 \\ &= (-200) \times 0.005 + 11 = 1\end{aligned}[/tex].
Hence, the company is expected to make [tex]\$ 1[/tex] on every extended warranty that it sold.
