Answer:
DB!
Step-by-step explanation:
a) [tex](x+50)^{2} = x^{2} +100x+2500[/tex]
b) Plug the value in! [tex](15+50)^{2} = 65^{2} = 4225[/tex]
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X, Y and Z form the vertices of a triangle with area 59.7cm2. If XZ = 21.5cm and XY = 13.5cm, work out the acute angle ∠YXZ. Round to 1 DP.
Answer: The acute angle ∠YXZ = 24.3°.
Step-by-step explanation:
If in triangle ABC, C is the angle included between sides a and b then
Area of triangle = [tex]\dfrac12a\cdot b\cdot sin C[/tex]
here, XZ = 21.5cm and XY = 13.5cm are sides that includes acute angle ∠YXZ..
Area of a triangle = 59.7cm²
then, as per given, we have
[tex]59.7=\dfrac12(21.5)(13.5)\ \sin X\\\\\Rightarrow\ 59.7=145.125\ \sin X\\\\\Rightarrow\ \sin X = \dfrac{59.7}{145.125}\\\\\Rightarrow\ \sin X =0.41137\\\\\Rightarrow\ X = \sin ^{-1}(0.41137)\approx24.3^{\circ}[/tex]
Hence, the acute angle ∠YXZ = 24.3°.
Un jardinier a récolté deux quintaux trois quarts de pommes . Il vend un quintal un quart à un voisin ; il vend aussi 7/10 de quintal sur le marché du village et 2/5 de quintal à un pâtissier .Exprimer à l'aide d'une fraction la quantité de pomme que le jardinier a gardé pour lui .
Answer:
Step-by-step explanation:
Notez que: un quintal =
une unité de poids égale à 100 kg
Un jardinier a récolté deux quintaux et trois quarts de pommes.
Le nombre total de pommes récoltées = 200 kg + 3/4 du quintal de pommes
= 200 kg + 0,381 kg
= 200,381 kg
Il vend un quintal un quart à un voisin
Le montant qu'il a vendu à un voisin = 100 + 1/4 quintal de pommes
100 + 0,127
= 100,127 kg
Il vend également 7/10 d'un quintal sur le marché du village
= 7/10 × 100 kg
= 70 kg de pommes restantes
2/5 d'un quintal à un pâtissier.
2/5 × 100 kg
= 40 kg de pommes restantes
À l'aide d'une fraction, exprimez la quantité de pomme que le jardinier a gardée pour lui.
La quantité que le jardinier lui a réservée =
200 3/4 kg - (100 1/4 kg + 70 kg + 40 kg)
200,381 kg - (210,127 kg)
Find the interest using the formula I = Prt Principal: $1800 Interest Rate: 6.5% Time: 30 months Interest =
mean median mode and range,4,8,6,4,4,1,1
Which of the following interpretations for the given expression is correct?
A.
The sum of 2 and the quotient of 9 and 3.
B.
The product of 2 + 9 and 3.
C.
The quotient of 2 + 9 and 3.
D.
The sum of 2 and the product of 9 and 3.
Answer:
the answer is the quotient of 2+9 and 3
How do i identify the minimum
Answer:
to identify the minimum of the table try looking at the negative numbers first and then look at the positive numbers
the sum of the three terms consecutive terms of an ap is -6 and the product is 64, find the terms. using a, a + d, a + 2d
Answer:
-8, -2 and 4
Step-by-step explanation:
Let the terms of the AP be a-d, a and a+d
If the sum is 6, then;
a-d+a+a+d = -6
3a = -6
a = -6/3
a = -2
Hence the first term is 6
If the product is 64
(a-d)(a)(a+d) = 64
-2(a²-d²) = 64
-2(4-d²) = 64
4-d² = -64/2
4-d² = -32
-d² = -32-4
-d² = -36
d² = 36
d = 6 or -6
The first term is a-d = -2-6 = -8
second term is a = -2
third term is a+d = -2+6 = 4
Hence the required AP is -8, -2 and 4
The bag has 2 yellow cubes, 5 green cubes, and 3 red cubes. Without replacing the yellow cube, what is the probability of selecting a red cube at random?
Please helpppp i just want to know if i sm doing it right
9514 1404 393
Answer:
b) -9.8t +18
Step-by-step explanation:
b) The instantaneous rate of change is the derivative of the height function. The power rule is separately applied to each term, and the results added.
power rule: d/dx(x^n) = nx^(n-1)
Then the derivative is ...
dh/dt = 2(-4.9t^1) +18(1 ·t^0)
dh/dt = -9.8t +18
__
If you haven't been introduced to derivatives as such, then you find the instantaneous rate of change by finding the average rate of change over a vanishing interval.
[tex]\dfrac{dh}{dt}=\displaystyle\lim\limits_{h\to 0}{ \dfrac{h(t+h)-h(t)}{h}}\\\\\dfrac{dh}{dt}=\lim\limits_{h\to 0}\dfrac{(-4.9(t+h)^2+18(t+h)+23)-(-4.9t^2+18t+23)}{h}\\\\\dfrac{dh}{dt}=\lim\limits_{h\to 0}\dfrac{-4.9(2th+h^2)+18h}{h}=\lim\limits_{h\to 0}{(-9.8t +18 -4.9h)}\\\\ \boxed{\dfrac{dh}{dt}=-9.8t +18}[/tex]
BEN ELİF81 BU HESABI TAKİP EDERMİSİN EĞER BENİ TAKİP EDERSENİZ BEN DE SİZİ TAKİP EDERİM.
SİZE GÜVENİYORUM:)
Harry Potter has a potion that can change voracious vampires into harmless hobbits. But the chemical evaporates over time and when the concentration in the potion is too weak, it turns the vampires into destructive Demogorgons. Oh no! The half-life of the potion means the amount of time it takes for the potion to lose half of its existing power, measured in magical units. This potion has a half-life of 2 months. Which statement about the potion's strength is correct? * a. Of the original 160 magical units, 5 magical units are left after 10 months of mixing the potion. b. Of the original 160 magical units, 16 magical units are left after 10 months of mixing the potion. c. Of the original 160 magical units, less than 1 magical unit is left after 10 months of mixing the potion. d. Of the original 160 magical units, 20 magical units are left after 10 months of mixing the potion e. Of the original 160 magical units, 80 magical units are left after 10 months of mixing the potion.
Answer:
im going to say c
Step-by-step explanation:
if its has 160 units and goes to half-life after 2 months im assuming it loses 1/2 of the units so in order for it to lose that many it will have to lose 40 units a month so i say its c after 10 months there will be less than 1 unit in the potion
hope this helps im sorry if im wrong have a blessed day :)
The cost of 9 scarves is $56.25. What is the unit price?
Answer:
6.25
Step-by-step explanation:
a student has a savings account with $475 in in it. She deposits $125 of her paycheck into the account every week. Her goal is to save 7,000 for college. How long will it take her to reach her goal of $7000?
Answer:
52.2 weeks
Step-by-step explanation:
7000 - 475 = 6,525
6525 ÷ 125 = 52.2
Answer:
It will take her 53 weeks to get her goal of 7,000$
Step-by-step explanation:
I subtracted 475 from 7,000 to see how much she needed to save for. I got 6525. I multiplied 125 times 52 and got 6500. To get to her goal she needs 25 more dollars so, she'll have to work another week to get to that goal.
:)
a deli made $320000 in revenue last year. Due to increased popularity of deli, the owner predicts that revenue will increase by 23% next year. How much revenue does the owner think the deli will generate next year?
(Easy) PLEASE HELP! I REALLY NEED TO GET THESE QUESTIONS RIGHT!
1. For the given equation, find the value of M when x=5. x + 3M = 14
2. What is the standard form for an exponential equation? Explain how you know if an exponential equation show’s growth or decay
Choose the statement that describes a way to solve the equation x – 23 = 18.
Answer:
x-23=18
x=18+23
x=41
Step-by-step explanation:
go to - 23 on the other side after equal to the changed sign and find x
Need help ASAP
48 ÷ 2 (9 + 3) = ?
Answer:
I think the answer is 288
Step-by-step explanation:
I think this because 48/2=24 and 9+3=12 (parentheses means multiply) 24x12=288
Answer:
Step-by-step explanation:
A,B and D
Could someone please tell me what this means? Like is it a/6 - 1/6?
Answer:
Yes, this is similar to [tex]\frac{a}{6} - \frac{1}{6}[/tex]
Answer:
yes
Step-by-step explanation:
Given
[tex]\frac{a-1}{6}[/tex]
Then each term on the numerator is divided by 6, that is
= [tex]\frac{a}{6}[/tex] - [tex]\frac{1}{6}[/tex]
URGENTTT PLEASE HEEEEELP
Answer:
1)
M: 15
T: 14
W: 19
Th: 20
F: 9
Sa: 9
Su: 5
2) 18 degrees
Step-by-step explanation:
Vincent had 97 rocks in his collection. He found 48 more at the beach. How many did he have in all ?
Answer:
145
Step-by-step explanation:
97+48
7+8=15
9+4+1=14
145
Juanita had 20 dollars to spend on 3 gifts. She spent 8 3 4 dollars on gift A and 4 1 2 dollars on gift B. How much money did she have left for gift C?
Answer:
the amount left for gift c is $7.54
Step-by-step explanation:
The computation of the amount left for gift c is shown below:
= Total money to spend - spent on gift A - spent on gift B
= $20 - $8.34 - $4.12
= $20 - $12.46
= $7.54
Hence, the amount left for gift c is $7.54
The weatherman predicted the high temperature for today to be 52 degrees. The actual high temperature was 50 degrees. What was the percent of error?
Answer:
Weatherman on top of them out to replace the temperature is currently 0° has been followed at the constantWeatherman on top of them out to replace the temperature is currently 0° has been followed at the constant Weatherman on top of them out to replace the temperature is currently 0° has been followed at the constant rWeatherman on top of them out to replace the temperature is currently 0° has been followed at the constant raWeatherman on top of a mountain reports the temperature is currently 0° has been falling at the constant rate of 3° per hour what was the temperature three hours ago
Step-by-step explanation:
will give brainliest to correct answer
The answer is B
hope that helps
I am in need of help
Answer:
I would say the answer is D because the figure is rotated 180 degrees. Letters C and D are pretty much the same just with some differences, but I would say D. Let me know if it's wrong :)
Step-by-step explanation:
What is the radius of a circle with the circumference 81.64
Answer:r≈12.99
Step-by-step explanation:
We can use the formula of the circumference of the circle. Which is given by:
Circumference = 2 \pi r
where "r" represents radius of the circle and , pi = 3.14
Plug the given values
81.64 = 2* 3.14* r
81.64 = 6.28 r
Diane looked out the window in the store parking lot and said, “There are 13 motorcycles and cars in the lot.” Steve looked out the window and said, “I see 42 wheels.”
Question: How many motorcycles and how many cars are in the parking lot?
Answer:
There are 5 motorcycles and 8 cars in the parking lot.
Step-by-step explanation:
Set variables X to represent the number of cars and Y to represent the number of motorcycles. You will get the following equations:
X + Y = 13 (Total number of motorcycles and cars)
4X + 2Y = 42 (Total number of wheels)
Combine the two equations together and solve for Y and X
4(13 - Y) + 2Y = 42 note: X = 13 - Y
52 - 4Y + 2Y = 42
-2Y = -10
Y = 5
X + 5 = 13
X = 8
Im giving brainiest to the person who answers it first. Thank you!
Answer: Oscer
Step-by-step explanation:
Graph this function: y+6=1/2(x-1)
Answer:
Hope this helps! Have a great day!
Step-by-step explanation:
Answer:
[tex]y=\frac{1}{2}x-\frac{13}{2}[/tex]
Step-by-step explanation:
Move all terms not containing y to the right side of the equation.
[tex]y = \frac{x}{2}-\frac{13}{2}[/tex]
Rewrite
[tex]y=\frac{1}{2}x-\frac{13}{2}[/tex]
Use the slope-intercept form to find the slope and y-intercept.
Slope: [tex]\frac{1}{2}[/tex]
y-intercept: [tex](0, -\frac{13}{2})[/tex]
good luck, hope this helps :)
radius:
diameter:32 meters
circumference:
area:
Given diameter is 32, radius would be 16 bc radius is always half of diameter, and circumference would be 2(pi)*radius, which would be 100.5309649.... and area is (pi)*radius^2 which would be 804.2477193........