You can see that the MNO triangle is similar to MKL then [tex]\displsystyle\ \frac{NO}{KL} =\frac{x}{ML} => \frac{12}{22} =\frac{x}{27,5} => x=\frac{12\cdot 27,5}{22} =15[/tex] [tex]\displaystyle\ Answer: \boxed{x=15}[/tex]
Which table of values corresponds to the graph below?
On a coordinate plane, a line goes through points (0, 0), (3, 1), and (6, 2).
see your answer in Pic
Answer:
A
Step-by-step explanation:
A sum of money is deposited in a bank which offers a simple interest rate of 0.325% per annum. At
the end of the 4 years, the total amount receives is $50 650. Find the sum of money deposited.
Answer:
The sum of money deposited is approximately $22,021.74
Step-by-step explanation:
The given interest and amounts of the deposit are outlined as follows;
The simple interest per annum, R = 0.325%
The number of years the money is deposited, T = 4 years
The total amount received (Interest + Initial deposit), A = $50,650
We have;
I = P × R × T
Where;
P = The principal (initial amount deposited)
R = The (annual) interest rate = 0.325%
T = The time = 4 years
Therefore;
The total amount received, A = P + I
P + I = P + P × R × T = P × (1 + R × T)
∴ A = P + I = P × (1 + R × T)
P = A/(1 + R × T)
Plugging in the values, gives;
P = 50,650/(1 + 0.325 × 4) = 506,500/23 ≈ 22,021.74
The sum of money deposited, P = $22,021.74
If the 12th term of the arithmetic sequence is 15 and the 11th term is 10, find the common difference of the sequence.
Answer:
12? 10 + d = 15 so d = 5.
Step-by-step explanation:
Answer:
d = 5
Step-by-step explanation:
The common difference d is the difference between consecutive terms, then
d = a₁₂ - a₁₁ = 15 - 10 = 5
What did You Understand In this Picture
PLEASE HELP i have less than 20 mins left
3a) Answer: 84 degrees
Step-by-step explanation:
3x + 2(x+20)= 180 (total sum of angles in a triangle is 180 degrees)
5x+40 = 180
5x = 140
x= 28
3x= 28 x 3
= 84
One day, a café sells 3 more than twice the number of cappuccinos as they do lattes. They sold a total of 33 cappuccinos and lattes
together.
Which equation could be used to find the number of lattes, I sold at the café?
Answer:
10 lattes and 23 cappuccinos were sold.
Step-by-step explanation:
Given that one day, a café sells 3 more than twice the number of cappuccinos as they do lattes, and they sold a total of 33 cappuccinos and lattes together, to determine which equation could be used to find the number of lattes that were sold at the coffee the following calculation must be carried out:
Latte = X
Cappuccino = 2X + 3
X + 2X + 3 = 33
3X + 3 = 33
3X = 33 - 3
X = 30/3
X = 10
Latte = 10
Cappuccino = 2 x 10 + 3 = 23
Therefore, 10 lattes and 23 cappuccinos were sold.
An airplane is flying 2 miles over the ocean directly toward a coastline. If the angle of depression to the coastline from the airplane is 15 degrees, how much farther does the airplane have to fly before it is directly above the coastline? Round to the nearest tenth.
The airplane has to fly approximately 7.47 miles farther before it is directly above the coastline (rounded to the nearest tenth).
Here,
Let's consider the situation described in the problem:
An airplane is flying 2 miles over the ocean, directly toward a coastline. The angle of depression from the airplane to the coastline is 15 degrees. We want to find out how much farther the airplane has to fly before it is directly above the coastline.
Let's represent the distance the airplane needs to fly before it is directly above the coastline as "x" miles.
Now, we have a right-angled triangle formed by the airplane, the coastline, and the point directly below the airplane on the coastline (the foot of the perpendicular).
The angle of depression is the angle between the horizontal line (the coastline) and the line of sight from the airplane to the foot of the perpendicular.
Since we know the angle of depression and the length of the opposite side (the height of the airplane above the coastline, which is 2 miles), we can use trigonometry (specifically, the tangent function) to find the length of the adjacent side, which is the distance the airplane needs to fly (x miles).
The tangent of an angle in a right-angled triangle is defined as the ratio of the length of the opposite side to the length of the adjacent side:
tan(angle) = opposite / adjacent
In our case, the angle is 15 degrees, the opposite side is 2 miles, and we want to find the adjacent side (x miles):
tan(15°) = 2 / x
Now, solve for x:
x = 2 / tan(15°)
Using a calculator:
x ≈ 2 / 0.26794919243 ≈ 7.47 miles
So, the airplane has to fly approximately 7.47 miles farther before it is directly above the coastline (rounded to the nearest tenth).
To learn more trigonometry click:
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As an estimation we are told £3 is €4.
Convert £33 to euros.
Answer:
44 euros
Step-by-step explanation:
if the ratio between an english pound and a euro is 3 to 4 respectivley, the ratios will hold true for any number. Since 33/3 = 11, we can stratigically multiply by 1,
3/4 = (3/4)(11/11)
so the ratios would be the same, multiplying, you would get 33/44, which means 33 pounds for 44 euros
Tatiana is playing a video game. She earns 25 points when she completes Level 1. Each time she completes a level, she earns three times as many points as the previous level.
How many points will Tatiana earn when she completes Level 7?
Answer:
18,225
Step-by-step explanation:
L1=25
L2=75
L3=225
the pattern is (25)* 3^(n-1)
L1=3^0*25 = 25
L2=3^1*25 = 3* 25 = 75
L3=3^2*25 = 9* 25 = 225
.
.
L7=3^6*25 = 729* 25 = 18,225
INEQUIDAD SALARIAL Este es el ingreso mensual que se percibe por género en su primer empleo: 16 Menos de 100 12 20 Entre 1500 3.000 Entus 200 000 14 BODOyt,000 23 ade 15.00 8 10 103 20 30 35 40 FTNINA Fuente Exacoldcarea colmate y UV Professor ACTIVIDAD Contesta las siguientes preguntas planteadas con referente a la grafica. 1. ¿Qué Informacion presenta la grafica anterior? el bove e una mu queue percibe por ponere en 20 2. ¿Cual es el ingreso que una mujer percibe en su primer empleo y que pocas mujeres lo consiguen? 31 OCHS MATEMATICAS 30 TRIMESTRE 111 3. ¿Cuál es el ingreso que un hombre percibe en su primer trabajo y que muy pocos lo consiguen? 4. ¿Cuál es el ingreso de un hombre y una mujer que percibe en su primer trabajo y es donde mas mujeres y hombres hay? 5. Calcula la media de esos datos. 6. Calcula el Rango de esos datos 7.- ¿Cuál es la mediana de esos datos? 8.2Cuál es la Moda de esos datos? ACTIVIDAD: Resuelve el siguiente problema:
Answer:
udfdufuhgjhfdhhudhjhnvn cjhcfhfhufvhfuh
Step-by-step explanation:
guhfr fuhuhdf bfhuyvvhd ui hty
Find the missing side. Round to the nearest tenth. X=?
Answer:
x = 12.2
Step-by-step explanation:
to solve for 'x', we can use the sine ratio of opposite/hypotenuse
we need to find the angle opposite side 'x', which can be found by:
180-(44+90) = 46
sin46° = x/17
x = 17·sin46°
x = 12.2
PLEASE HELP ME QUICKKKK!
Look up what is mean and calculate it.
I I don’t understand this could someone try it’s geometry
Answer:
1)BX = 20
2)MT = 23.3
3)QD = 14.4
4)SN = 23.5
5)XZ = 36
6)DF = 24
7)BD = 43.8
8)HZ = 12
9)UW = 40
10)CS = 11.6
Step-by-step explanation:
1) BX = 1/2(VX) = 40/2 = 20
2)MT = 1/2(RT) = 46.6/2 = 23.3
3) QD = BQ = 14.4
4)LS + SN = 23.5
5)XH = 1/2(XZ) = 18 * 2 = 36
6)DG = 1/2(DF) = 12 * 2 = 24
7)BJ = 1/2(BD) = 21.9 * 2 = 43.8
8)XH = HZ = 12
9)UW = 2(UJ) = 20 * 2 = 40
10) CS = 1/2(US) = 23.2/2 = 11.6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
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At Shimla, the temperature was -14°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Shimla on Tuesday?
Answer:
-14-2= -16
I hope it helps :)
x is a positive integer and 15x - 43 < 5x + 2. Work out the possible values of x.
Answer:
x = 1, 2, 3, 4
Step-by-step explanation:
15x - 43 < 5x + 2
15x - 5x - 43 < 2
15x - 5x < 2 + 43
10x < 45
x < 4.5
x = 1, 2, 3, 4
The required value of the x in the given inequality is x < 4.5.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
Given expression,
15x - 43 < 5x + 2
Adding 43 on both sides,
15x < 5x + 45
Subtract 5x from both sides,
10x < 45
Divide the inequality by 10
x < 4.5
Thus, the required value of the x in the given inequality is x < 4.5.
Learn more about inequality here:
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Mira looks at her fitness monitor and sees that she has run 30% of her miles this
week. If her goal is to run 30 miles this week, how many miles has she run
already? (Provide number only)
Answer:
9
Step-by-step explanation:
Simply multiply 30 by .3.
Hope that this helps!
1. Find the value of x
A. 7
B. 4
C. 5
D. 6
Help needed for this question.
Try this option:
1) for the given function 'f': the the axis of its symmetry is x= -2;
2) for the function 'g':
g(x)=4x²-16x+12; ⇔ g(x)=4(x²-4x+3); ⇔ g(x)=4(x-1)(x-3).
It means the axis of its symmetry is x=2.
Answer: -2 and 2
Please help! Giving out brainliest if correct
Answer:
[tex] \sin(43) = \frac{27}{x} [/tex]
Which fraction can be equivalent to -3/2?
1. 3/-2
2. -3/-2
3. -(3/-2)
4. -(-3/2
please help :)
Answer:
its c, the minus makes the positive 3 negative and the neg 2 positive
Please please help me
Answer:
49
Step-by-step explanation:
Y’all help meeee imma fail fr!!.!.
Answer:
Altitude of cylinder = 10 cm
Step-by-step explanation:
Given:
lateral surface area of cylinder = 90 cm²
Circumference of base = 9 cm
Find:
Altitude of cylinder
Computation:
Circumference of base = Circumference of cylinder
So,
2πr = 9
lateral surface area of cylinder = 2πrh
2πrh = 90
We know that; 2πr = 9
So,
9(h) = 90
h = 90 / 9
Altitude of cylinder = 10 cm
Nathan has a $75 budget to rent a car for a day. The daily rental charge is $29.50 and then he will also have to pay $0.55 per mile. How many miles can he drive the car without exceeding his budget? (All partial miles are counted as full miles )
A- 25 miles
B- 83 miles
C- 82 miles
D- 136 miles
Answer:
82
Step-by-step explanation:
82x.55=45.10
45.10+29.50=74.60
i dont really understand this. ranking brainliest !
Answer:
98
Step-by-step explanation:
because this is an isosceles triangle so base angle are equal and triangle add up to 180°. so H will be 41 as well to find out F
do 180-41-41=98 is the answer.
hope this helps :)
Zikri wins a cash prize of one million ringgit. She invests the money into an investment institution that offer
a return of 6% per year. The total amount of Zikris investment after n years is calculated by using the formula
J = P(1 + k)" with p is the initial investment and k is the rate of return per year. Find Zikris total investment
after 15 years.
Answer: 2,396,558 Ringgit
Step-by-step explanation:
J = P * ( 1 + k)^n
P = initial investment of 1,000,000 Ringgit
k = rate of return of 6% per annum
n = Number of years of investment
J = 1,000,000 * ( 1 + 6%)¹⁵
= 1,000,000 * 2.396558193
= 2,396,558 Ringgit
Una alberca, tiene las siguientes dimensiones: 15 metros de largo, 4 metros de ancho y una profundidad de 1.8 metros. Si se desea que solo se llene a un 95% de su capacidad y para eso se abre una llave la cual deposita 90 litros de agua en tan solo 1 minuto. ¿En Cuánto tiempo estará lista la alberca? *
Answer:
please transalate
porfavor transalate
Step-by-step explanation:
what is the vertices of hexagon
Answer:
A Hexagon has 6 sides so 6 Vertices
In ΔPQR, p = 7.6 inches, r = 3.5 inches and ∠R=160°. Find all possible values of ∠P, to the nearest 10th of a degree.
Answer:
There is no possible value for P
Step-by-step explanation:
In ΔPQR, p = 7.6 inches, r = 3.5 inches and ∠R=160°. Find all possible values of ∠P, to the nearest 10th of a degree
We solve using the law of sines
p/sin P = r/sin R
7.6/sin P = 3.5/sin 160
Cross Multiply
sin P × 3.5 = 7.6 × sin 160
sin P = 7.6 × sin 160/3.5
P = arc sin (7.6 × sin 160/3.5)
There is no possible value for P
PLEASE HELP ME
EXPLANATION = BRAINLIEST
Each gridline represents one mile. If Ryan drove from home to the soccer field and then from the soccer field to the library, traveling in a straight line to each destination, he would have traveled ___ miles by the time he reached the library.
Answer:
13 miles
Step-by-step explanation:
Distance from home to Field :
4² + 3² = d²
16 + 9 = d²
25 = d²
d = 5 miles
Field to Library :
8 lines so 8 miles
Total :
5 + 8 = 13 miles
He traveled 13 miles
If my answer is incorrect, pls correct me!
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-Chetan K
Pls I need help with thia
Answer:
6
Step-by-step explanation:
Use Pythagorean Theorem to solve for the missing side:
[tex]a^2+b^2=c^2\\a^2+(7)^2=(\sqrt{85})^2\\a^2+49=85\\a^2=36\\\sqrt{a^2} =\sqrt{36}\\a=6[/tex]