Answer:
The minimum balance is 68 liters
Step-by-step explanation:
Let the number of liters of petrol required be x
Given that One litre of petrol has a mass of 737g, x liters will have a mass
= 0.737x kg
Recall that 1 kg = 1000g
Since the empty fuel tank has a mass of 1050kg
The total mass = 1050 + 0.737x IN kg
For the total mass to exceed 1100kg, then
1050 + 0.737x > 1100
0.737x > 1100 - 1050
0.737x > 50
Divide both sides by 0.737
x > 50/0.737
x > 67.84260516
Look at the attached screenshot.
Answer:
yes...
Step-by-step explanation:
In the figure below, ∠ABC ≅ ∠DEC and ∠GFE ≅ ∠DCE. Point C is the point of intersection between segment AG and segment BD, while point E is the point of intersection between segment AG and segment DF.
Prove ΔABC ∼ ΔGEF.
Answer:
See Below.
Step-by-step explanation:
We are given that:
[tex]\angle ABC \cong \angle DEC\text{ and } \angle GFE \cong \angle DCE[/tex]
By vertical angles:
[tex]\displaystyle \angle DEC\cong \angle GEF\text{ and } \angle DCE\cong \angle ACB[/tex]
Hence, by substitution:
[tex]\displaystyle \angle ABC\cong \angle GEF\text{ and } \angle GFE\cong \angle ACB[/tex]
Then by Angle-Angle Similarity:
[tex]\Delta ABC \sim \Delta GEF[/tex]
Use the following list of balances for Paul's Guitar Shop to answer the following question. Guitar Sales 24,800, Depreciation expense 2,000, Wage expense 10,950, Rent 500, Music Lesson Revenue 3,000, Interest expense 500, Supplies expense 500, Utilities expense 400. What is the TOTAL value of EXPENSES? *
Answer:
The Total Value of Expenses is $14,350
Step-by-step explanation:
AMOUNT
Depreciation Expense $ 2,000
Wage Expense $ 10,950
Interest Expense $ 500
Supplies Expense $ 500
Utility Expense $ 400
TOTAL $ 14,350
In ΔVWX, x = 160 cm, v = 150 cm and ∠W=77°. Find the length of w, to the nearest centimeter.
Answer:
The length of the third side is approximately 193.14 cm
Step-by-step explanation:
The given dimensions of the sides of triangle ΔVWX are;
X = 160 cm
V = 150 cm
The measure of the included angle, m∠W = 77°
By cosine rule, we have;
w² = v² + x² - 2·v·x·cos(W)
∴ w² = 150² + 160² - 2 × 160 × 150 × cos(77°) ≈ 37,302.35
∴ The length of the third side, w = √37,302.35 ≈ 193.14
The length of the third side, w ≈ 193.14 cm
Select the correct answer. What is -16 + 49 written as a complex number in the form ? A. 7 + 4i B.7 - 4i C.-4+7i D.4+7i
Answer:
A. 7 + 4i
Step-by-step explanation:
Select the correct answer. What is -16 + 49 written as a complex number in the form ? A. 7 + 4i B.7 - 4i C.-4+7i D.4+7i
Writing as a complex number, we find the square root of -16 + 49
Hence:
√ -16 + 49 = √-16 + √49
= 4i + 7
Rearranging
= 7 + 4i
Therefore, the correct option is A. 7 + 4i
I need help on this.
Answer:
i dont know how to answer this...
Step-by-step work-<3
URGENT: Graph y = cosx for -3\pi/2 <= x <= -pi/2
What is the largest value in the range?
A. -1
B. 0
C. 1/2
D. 1
Someone pls help me pls!
Answer:
[tex]y=\sqrt{x-5}[/tex]
Step-by-step explanation:
Answer:
The answer is [tex]y=\sqrt{x-5}[/tex].
Step-by-step explanation:
To solve for the inverse of this function, start by writing [tex]f(x)=x^{2} +5[/tex] as an equation, which will look like [tex]y=x^{2} +5[/tex].
Next, interchange the variables, and the equation will look like [tex]x=y^{2}+5[/tex]. Then, solve for the y in the equation,
To solve for the y in the equation, rewrite the equation as [tex]y^{2}+5=x[/tex]. Next, subtract 5 from both sides of the equation, which will look like [tex]y^{2}=x-5[/tex]. The next step is to take the square root of both sides of the equation to eliminate the exponent on the left side, and the equation will look like [tex]y=\sqrt{x-5}[/tex].
To put the answer in actual inverse form, the answer will be [tex]f^{-1} (x)=\sqrt{x-5}[/tex].
For Circle A, if the measure of BDC=20 and the measure of BDC=4x-12, then what is the value of X??
Pls I need help with this
Answer:
third side = 6
Step-by-step explanation:
third side is hypotenuse as it is opposite to 90 degree
using pythagoras theorem
(perpendicular)^2 + (base)^2 = (hypotense)^2
5^2 + [tex](\sqrt{11})^2[/tex] = hypotenuse^2
25 + 11 = hypotenuse^2
36 = hypotenuse^2
[tex]\sqrt{36}[/tex] = hypotenuse
6 = hypotenuse
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!
Answer:
x=7.8
Step-by-step explanation:
take 49 degree as reference angle
using cos rule
cos 49=adjacent/hypotenuse
0.65=x/12
0.65*12=x
7.8=x
Answer:
x=7.8
Step-by-step explanation:
Step-by-step explanation:
take 49 degree as reference angle
using cos rule
cos 49=adjacent/hypotenuse
0.65=x/12
0.65*12=x
7.8=x
1 of 5
The ratio of boys to girls in a class is 4:3. There are 35 students in the class. How many
students are girls?
Answer:
15 girls
Step-by-step explanation:
[tex]\frac{4}{3}[/tex] has 7 per "unit group" 35/7 = 5
so the ratio would be [tex]\frac{20}{15}[/tex]
the question states ratio is [tex]\frac{boys}{girls}[/tex]
thus 20 boys , and 15 girls
Please help, the question is in the picture.
Step-by-step explanation:
answer is first option,,,
A club with 13 members is to choose three officers: president, vice-president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled?
Answer:
njj
Step-by-step explanation:
Mía ha comprado un terreno en el emporio de Gamarra.
Si desea destinar la mayor superficie rectangular posible del terreno para colocar su maquinaria, ¿cuánto mide la superficie del terreno que queda disponible para otros ambientes?
Un reto para obtener el Logro destacado:
Mía desea comprar un segundo terreno, esta vez de forma rectangular, cuya área sea de 650 m2 y para ello evalúa las posibles dimensiones que puede tener dicho terreno. Si quiere gastar lo menos posible en cercar el terreno, ¿cuáles deben ser sus dimensiones? (Considera como medida de las dimensiones solo números enteros) (Cercar es rodear un terreno, con una cerca, valla, muro, etc., para delimitarlo.)
Answer:
mkana
Step-by-step explanation:
Amy is 8 years older than Ben. I’m 5 years time, she will be twice Ben’s age. How old is she right now?
when a tank is 20% empty, it has 24 more liters of gas that is does when it is 20% full. How many liters of gas could a tank hold if it is full
full answers please no fake answers if answer correctly i will give you brainlist
Answer:
40 L
Step-by-step explanation:
20% empty is the same as 80%full
.8f = .2f + 24
subtract .2f from both sides
.6f = 24
divide both sides by .6
f = 40
A music store bought a CD set at a cost of $20. When the store sold the CD set, the percent markup was 40%. Find the selling price.
Answer:
40% markup means the scale price is 1.40 times the cost. 1.40 ($20) = $28
Step-by-step explanation:
multiple the price by 1.40
hopefully this helped :)
Answer:
$28
Step-by-step explanation:
We can split this problem into two parts: the original price of the CD set and the 40% extra. We already know the original price of the CD set, so we just need to find the 40% extra. Let's convert 40% to a decimal instead of a percentage. We can do this by dividing by 100.
40/100 = 0.4.
Next, we multiply 20 by 0.4 to find the extra price:
20 * 0.4 = 8
So, the answer is 20 + 8 = $28
We can skip the step of adding the two items together by saying the CD set sells for 140% the original price. 20 * 1.4 = $28
Hope this answer helps you :)
Have a great day
Mark brainliest
Hey can someone help with this? It’s Khan Academy
Aka suffering.
Thanks.
-Tornado
Answer:
3n+3
hope it helps
Answer for points
3(3x3)(45x6)(45x7)(56x5)(5x5)x0
Answer:
0
Step-by-step explanation:
3(3x3)(45x6)(45x7)(56x5)(5x5)x0 =0
statement of pythagoras theorm no need proof only statement plz need fast
Answer:
Pythagoras Theorem: It is a basic relation in Euclidean geometry among the sides of a right-angled triangle. Pythagoras Theorem is commonly used to find the length of an unknown side in a right-angled triangle. It describes the interrelationship between the base, perpendicular and hypotenuse of a right-angled triangle. The converse of Pythagoras Theorem is used to check whether a triangle is a right-angled triangle or not
Step-by-step explanation:
Statement of Pythagoras Theorem
The Pythagoras Theorem states that in a right-angled triangle the sum of square of the base and square of the perpendicular is equal to the square of the hypotenuse.
Pythagorean theorem
In the right angled triangle there is a relationship that governs the length of the three sides. if we knows the length of any two sides, the third side may be calculated by the use of the Pythagorean theorem. this theorem States the square on the hypotenuse of a right angle triangle is equal to the sum of the squares on the remaining two sides.
Simplify the expression. (–8.6)0
1
–1
–8.6
0
Answer:
(-8.6)0
= 0
explanation:
Cuanto interes ganara lesli si presta 5000 L a pagar en tres años con un interés simple anual de 5%
Answer:
Amount of simple interest in three year = 750
Step-by-step explanation:
Given:
Amount invested = 5,000
Number of year = 3 year
Rate of interest = 5% Annually
Find:
Amount of simple interest in three year
Computation:
Simple interest = (P){R)(T)
Amount of simple interest in three year = (5,000)(3)(5%)
Amount of simple interest in three year = (5,000)(3)(0.05)
Amount of simple interest in three year = (5,000)(0.15)
Amount of simple interest in three year = 750
I NEED HELP ASAP PLEASE
Answer:
The last digit is 2
Step-by-step explanation:
I just plugged in different digits as the end of 41875 and divided by 18.
Entered in 418750. Got a decimal.
Entered in 418751 and divided by 18. Got a decimal.
Entered in 418752 and divided by 18. Got 23,264.
Entered in 418753 and divided by 18. Got a decimal.
Entered in 418754 and divided by 18, got a decimal.
418755, decimal
418756, decimal
418757, decimal
418758, decimal
418759, decimal
Help plsss 10 points
What is the value of m in the equation {m-án=16, when n = 8?
A 20
B 32
C 44
D 48
Answer:
32
Step-by-step explanation:
m-án=16, when n = 8
a ball is shot out of a homemade air cannon. It flies through the air such that its height, as a function of time, is given by: h= -16t^2 + 64t + 10. where h is the height of the ball in feet and t is the time since it was fired in seconds. Max estimates that it takes 4 seconds for the ball to hit the ground and Cole estimates it takes 5 second. Algebraically determine who is closer and support your answer.
Answer:
Max
Step-by-step explanation:
the function given that h = -16t³+64t+10
the general function Equation:
h = at²+bt+c
=> t at the highest point is defined by t = -b/2a
= -64/2(-16) = -64/-32 = 2 second
the total times that the ball hits the ground
= 2× 2 seconds = 4 seconds.
so, Max is right
Answer:
Solution given:
Let h=0=when the ball hit the ground,the height=0.
h= -16t^2 + 64t + 10.
0=16t²-64t-10
8t²-32t-5=0
∆=[tex] \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}[/tex]
taking positive
t1=[tex] \frac{8+\sqrt{74}}{4}=4.15seconds[/tex]
t2=[tex] \frac{8-\sqrt{74}}{4}(t2<O)(neglected)[/tex]
So
t=4.15seconds closer to 4seconds.So
Max is closer.
The polynomial, −4x2+5 , is considered by classification to be a
Answer:
here u go
Step-by-step explanation:
binomial
-14=x+12 solve for x
Answer:
x= -26
Step-by-step explanation:
-14 = x + 12
x = -14-12
x= -26
Answer:
X = -26
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
What are the coordinates of the point that is 2/5
of the way from A(-4,-2) to B(11,-2)?
Answer:
brainllest f right
a
Step-by-step explanation: