Answer:Yes
Step-by-step explanation:
Given
Triangle has sides
length [tex]a=5\ in.[/tex]
[tex]b=12\ in.[/tex]
[tex]c=13\ in.[/tex]
If the triangle is Right angled then it must satisfy the Pythagoras rule
[tex](\text{Perpendicular})^2+(\text{base})^2=(\text{Hypotenuse})^2[/tex]
[tex](a)^2+(b)^2=(c)^2[/tex]
[tex]5^2+12^2=13^2[/tex]
[tex]25+144=13^2[/tex]
[tex]169=13^2[/tex]
[tex]13^2=13^2[/tex]
Therefore The given triangle is right angled
Jessie installed 12 more axles than the number of engine blocks her friend Gus installed yesterday. Write an equation for g, the number of engine blocks Gus installed yesterday.
Answer:
g = j - 12
Step-by-step explanation:
We know that if g is Gus' number of engine quantity, then j is Jessie's number of engine quantity, from this statement we have that Jessie made 12 more than Gus, therefore:
j = g + 12
if we solve for g:
g = j - 12
which is the same as saying that Gus made 12 number of engine less than Jessie
Answer:
g = x - 12
where x is the number of axles installed by Jessie
Step-by-step explanation:
Using a simple analogy. If a man has 7 cars while his friend has 3 cars, The statement may be written as the man has 4 cars more than his friend. The 4 cars being the difference between the number of cars he has and the number his friend has.
As such, if the number of engine blocks installed by Gus is g and Jessie installed 12 more axles than the number of engine blocks Gus installed yesterday, where Jessie must have installed x axles,
x = g + 12
Such that
g = x - 12
Need help plssssss fast hurry plsss
Answer:
50 ft2
Step-by-step explanation:
im not sure if this is right but this is what i got when i worked it out
Answer: [tex]150ft^2[/tex]
Step-by-step explanation:
length: [tex]7\frac{1}{2}in[/tex] Convert to an improper fraction. [tex]\frac{7*2+1}{2}=\frac{15}{2}[/tex]
width: [tex]5 in[/tex]
[tex]Formula: A=w*l[/tex]
[tex]A=(5in)(\frac{15}{2}in)\\A=\frac{75}{2}in^2[/tex]
Convert to ft. I assume your conversion factor is [tex]\frac{1}{2}in. : 1ft[/tex]. However, the unit we need is squared. Square both sides.
[tex](\frac{1}{2}in.)^2 : (1ft)^2[/tex]
[tex]\frac{1}{4}in^2 : 1ft^2[/tex]
Convert.
[tex]\frac{75}{2}in^2(\frac{1ft^2}{\frac{1}{4}in^2 } )=[/tex]
Invert the fraction in the denominator and multiply it by the numerator.
[tex]\frac{75}{2}in^2*1ft^2*4in^-^2=75*2ft^2=150ft^2[/tex]
Una caja grande cuesta lo mismo que tres pequeñas. Si 7 cajas grandes y 4 pequeñas cuestan $12 más que 4 grandes y 7 pequeñas ¿Cuál es el sistema de ecuaciones que modela el sistema?
Answer:
[tex] x = 3y [/tex]
[tex]7x+4y= 12 + 4x+7y[/tex]
Step-by-step explanation:
Para resolver la pregunta, basta con definir variables adecuadas y traducir cada relación. Sea x el costo de una caja grande e y el costo de una caja pequeña. Tenemos que el costo de una caja grande es igual a 3 cajas pequeñas. Es decir, x = 3y. Luego, tenemos que
[tex]7x+4y= 12 + 4x+7y[/tex]
pues al sumarle 12 al costo de 4grande y 7 pequeñas obtenemos el costo de 7 grande y cuatro pequeñas. De aquí, el sistema de ecuaciones que modela el sistema es
[tex] x = 3y [/tex]
[tex]7x+4y= 12 + 4x+7y[/tex]
What is the negative square root of 4,900?
Answer: -70
Step-by-step explanation: hope I helped
Please answer as soon as you see this it’s urgent
Answer:
m∠DEH= 128.6°
Step-by-step explanation:
∠GHJ and ∠DEH are both congruent to each other because lines DF and GI are both parallel to each other.
This means, if m∠GHJ is 128.6°, m∠DEH is also 128.6°.
Answer:
128.6
Step-by-step explanation:
GHJ= DEH
adjasent angle
Miguel stated that any monomial can be a cube root. Sylvia disagreed and said that a monomial cube root must have exponents divisible by 3. Who is correct, and why?
Sylvia is correct. Any variable term, when it is cubed, always has an exponent divisible by 3.
Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.
Sylvia is correct. In order for the cube to have exponents that are divisible by 3, the cube root has to be divisible by 3.
Miguel is correct. Sylvia confused the perfect square root with the perfect cube root.
Option B. is correct
Polynomial equation are equation of number independent variables having relationship with dependent variable.
Since,
A monomial can have higher exponents so its exponents has probability to get divisible by 3 so when cube root for monomial performed.
for example [tex]\sqrt[3]{x^3}[/tex] = x
Thus, Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.
Learn more about polynomial here:
brainly.com/question/11536910
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Answer:
option B
Step-by-step explanation:
edge 2023
please help will mark brainlist
Answer:
Step-by-step explanation:
8/17
Answer:
8/17
Step-by-step explanation:
cos = adjacent/hypotenuse
cos X = 8/17
Which expressions are equivalent to - f - 5(2f – 3)?
Choose all answers that apply:
-11f-3
- 11f + 15
None of the above
Answer:
- 11f + 15
Step-by-step explanation:
- f - 5(2f - 3)
= - f - 10f + 15
= - 11f + 15
Write the equation of the circle graphed below.
Answer:
The equation of the circle is [tex]{ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 = \frac{ 25 }{ 4 } }[/tex].
Step-by-step explanation:
This is the general standard equation for the circle centered at (h, k) with radius r.
[tex](x-h)^2+(y-k)^2=r^2[/tex]
From the graph we know that the center, the red point, is (1, 2) and the circle pass through the point (2.5, 4) the blue point.
To find the standard equation of the circle you must:
Step 1: Find circle radius.
To find a radius of a circle we will compute the distance between points [tex]C=(1, 2)[/tex] and [tex]P=(2.5, 4)={ \left( \frac{ 5 }{ 2 } , 4 \right) }[/tex]. The distance can be computed by using formula:
[tex]r = \sqrt{ \left(C_x - P_x\right)^2 + \left(C_y - P_y\right)^2 }\\\\r = \sqrt{ \left(1 - \frac{5}{2} )^2 + \left(2 - 4)^2 }[/tex]
[tex]r=\sqrt{\frac{3^2}{2^2}+2^2}=\sqrt{\frac{9}{4}+4}=\sqrt{\frac{25}{4}}=\frac{5}{2}[/tex]
Step 2: Substitute the values of the radius and the center into the general standard equation for the circle.
[tex]\begin{aligned} \left(x - 1 \right)^2 + \left(y - 2 \right)^2 &= \left(\frac{ 5 }{ 2 }\right)^2 \\ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 &= \frac{ 25 }{ 4 } \end{aligned}[/tex]
Graph the function.
h(x) = -1/5x^2+2x
Answer:
Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated
Step-by-step explanation:
The growth of a population of bacteria can be modeled by an exponential function. The graph models the population of the bacteria colony P(t) as a function of the time t, in weeks, that has passed. The initial population of the bacteria colony was 500. What is the domain of the function? What does the domain represent in this context?
Answer:
t ≥0
Step-by-step explanation:
Given the information:
The initial population: 500
The graph models the population of the bacteria colony P(t) as a function of the time t, in weeks,
=> our function is: P(t) =500*[tex]b^{t}[/tex] where b is the base number and it is ≥0
What is the domain of the function?The domain of exponential functions is all real numbers greater than zero
<=> t ≥0 (because t present for the time and time can not have negative value)
What does the domain represent in this context?t is the independent variable is this exponential function and the population of bacteria depends on the change of t.
Because it is the growth function so the range (the population of bacteria) increase over its domain (the time)
Hope it will find you well.
The original price of a jacket is $75 , you have a 25% off coupon, how much will you pay for the jacket
Answer:
18.75
Step-by-step explanation:
75 is the 100% price. If you divide 75 by two you will get the 50% price. Which is 37.5. If you divide that by two you will get the 25% price which is 18.75
The area of a square is 16 square units. What is the length of a side?
Answer:
4 is the length of a side.
Step-by-step explanation:
16 divided by 4 equals 4
Answer:
4 units
Step-by-step explanation:
The area of a square is denoted by: A = s², where s is the side length.
Here, we know that the area is 16, so plug this in for A:
A = s²
16 = s²
s = √16 = 4
Thus, the side length is 4 units.
~ an aesthetics lover
if suresh made a deposit of AED 2700 on the first day of the tear and same amount again after every 4 months at the end of the year how much money will he get if the interest is compounded quarterly and the rate of interest is 7.5% per annum
Answer:
48.048
Step-by-step explanation:
multiply 77 time 0.60 since 60%in decimal form is 0.60. you then get the answer of that(46.2) and mutiply 0.04 since that the decimal form for 4%. you get 1.848 and add it to 46.2 and get the final answer 48.048. Hope this helped you
Karina bought 8 bagels and used a gift certificate for $4. Her total cost is represented by the expression 8b - 4, where b is the cost of a bagel. What is an equivalent expression?
Answer:
An equivalent expression = 8b + (-4)
Step-by-step explanation:
In Mathematics, numbers exhibit or are guided by certain properties that they can show.
Some of those of properties are :
a) Commutative property where:
a + b = b + a
b) Associative property
a+( b + c) = (a + b) + c
c) Additive inverse property
a - b = a + ( - b)
For the question above, we are told that the total cost of what Karen bough is represented by the expression 8b - 4. We are asked find the equivalent expression.
An equivalent expression is defined as an expression that has the exact value for all the values obtained from the variable.
Hence, using the Additive inverse property
a - b = a + ( - b)
The equivalent expression for 8b - 4 = 8b + ( -4)
Maxis taking a cross-country road trip. Gas prices vary as the friends travel across the US from $4 dollars per gallon on the east coast, to $3 in the mid-US, to $5 on the west coast. B On their way back they had more baggage in the car and spend $601 for 174 gallons of gas. Based on the same ratio as in Part (a), how many gallons of gas did they buy at each price?
Answer:
A) The amount of gas they bought on each coast;
East Coast = 35 gallons
Mid-US = 100 gallons
West Coast = 15 gallons
B) The amount of gas they bought on each coast on the return journey;
East Coast = 37 gallons
Mid-US = 116 gallons
West Coast = 21 gallons
Step-by-step explanation:
Complete Question
Maxis taking a cross-country road trip. Gas prices vary as the friends travel across the US from $4 dollars per gallon on the east coast to $3 in the mid-US, to $5 on the west coast.
(a) If they used twice as much gas in the mid-US than on either coast combined, and they spend $515 on gas to purchased 150 gallons of gas, how many gallons of gas did they buy at each price?
The answer to this question is East Coast - 35 gal, Mid-US - 100 gal, West Coast - 15 gal.
(b) On their way back they had more baggage in the car and spend $601 for 174 gallons of gas. Based on the same ratio as in Part (a), how many gallons of gas did they buy at each price? I don't know the answer to this one
Solution
Let the amount of fuel bought on the east coast = x gallons
Let the amount of fuel bought on the mid-coast = y gallons
Let the amount of fuel bought on the west coast = z gallons
a) - They used twice as much gas in the mid-US than on either coast combined
y = 2(x + z) = 2x + 2z (eqn 1)
- They spend $515 on gas to purchase 150 gallons of gas.
Total gallons purchased = x + y + z = 150
Total amount spent = 4x + 3y + 5z = 515
From eqn 1, y = 2x + 2z, inserting this value for y in the 2 other equations
x + y + z = x + 2x + 2z + z = 150
3x + 3z = 150
Divide through by 3
x + z = 50 (eqn *)
4x + 3y + 5z = 4x + 3(2x + 2z) + 5z = 515
4x + 6x + 6z + 5z = 515
10x + 11z = 515 (eqn **)
x + z = 50
10x + 11z = 515
Solving the simultaneous equation,
x = 35 gallons
z = 15 gallons
y = 2x + 2z = 2(35 + 15) = 100 gallons
B) On the return journey, the ratio between x, y and z is still the same, but the total gallons and total amount spent is now different.
They used twice as much gas in the mid-US than on either coast combined
y = 2(x + z) = 2x + 2z (eqn 1)
- They spend $601 on gas to purchase 174 gallons of gas.
Total gallons purchased = x + y + z = 174
Total amount spent = 4x + 3y + 5z = 601
From eqn 1, y = 2x + 2z, inserting this value for y in the 2 other equations
x + y + z = x + 2x + 2z + z = 174
3x + 3z = 174
Divide through by 3
x + z = 58 (eqn *)
4x + 3y + 5z = 4x + 3(2x + 2z) + 5z = 601
4x + 6x + 6z + 5z = 601
10x + 11z = 601 (eqn **)
x + z = 58
10x + 11z = 601
Solving the simultaneous equation,
x = 37 gallons
z = 21 gallons
y = 2x + 2z = 2(37 + 21) = 116 gallons
Hope this Helps!!!
Which is the simplified form of m Superscript negative 8 p Superscript 0?
StartFraction 1 Over m Superscript 8 Baseline p EndFraction
StartFraction 1 Over m Superscript 8 EndFraction
StartFraction p over m Superscript 8 EndFraction
m Superscript 8
i think it is C
Step-by-step explanation:
Answer:
1 or D
Step-by-step explanation:
which of the following statements correctlydescribes the points
The first statement is correct
To calculate the distance we have to substrate the values of the Y axis only since X values are constant so the distance IS 4 - - 7=4+7=11
Answer:
The first answer. The distance is 11.
What is the slope of the line
the slope of the line above is -2
Which expressions have a value of 15 when
S = 15
what are the answer choices?
The expression S/3 + 10 has the value of 15 when S = 15. Then the correct option is A.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Let's check all the options, then we have
A. S/3 + 10
If S = 15, then we have
⇒ 15 / 3 + 10
⇒ 5 + 10
⇒ 15
B. S/2 + 10
If S = 15, then we have
⇒ 15 / 2 + 10
⇒ 10 + 10
⇒ 20
C. S + 10
If S = 15, then we have
⇒ 15 + 10
⇒ 15 + 10
⇒ 25
D. - S/3 + 10
If S = 15, then we have
⇒ -15 / 3 + 10
⇒ -5 + 10
⇒ 5
The expression S/3 + 10 has the value of 15 when S = 15. Then the correct option is A.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
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The missing options are given below.
A. S/3 + 10
B. S/2 + 10
C. S + 10
D. - S/3 + 10
50. Express
-44 in the form bi where b is a real number.
TIME SENSITIVE‼️‼️‼️
Answer:
A
Step-by-step explanation:
i is the same as negative squareroot of one. Then you have 2 squareoot of 11 which is the same as squareroot of 44
can someone tell me how to do this
Answer:
must not be
Step-by-step explanation:
The whole thing equals 360 degrees
Angle B and Angle D are equal; which equals 190 degrees.
Add Angle A to 190 degrees; which is 86 + 190 = 276.
Subtract 360, which is what the whole thing equals, and 276, which is the known angle added together, and you get 56.
In order for this to be a parallelogram, the opposite angles need to be equal.
Since they are not, the answer is must not be.
Write the quadratic equation in standard form:
X2– 20 = 52
Answer:
[tex] {x}^{2} - 72 = 0[/tex]
Step-by-step explanation:
[tex]the \: standard \: form \: a \: quadratic \: equation \:\\ is \:a {x}^{2} + bx + c = 0 \\ \therefore \: {x}^{2} - 20 = 52 \\ {x}^{2} - 20 - 52 = 0 \\ {x}^{2} - 72 = 0[/tex]
Jimmy pumps 288,000 cubic centimeters of air into a spherical balloon. What is the radius of the balloon?
There are no options to choose from
Answer:
r: radius of balloon
V = (4/3)*pi*r^3 = 288000
=> r^3 = 288000*(3/4)/pi
=> r^3 = 68754.94
=> r = [tex]\sqrt[3]{68754.94}[/tex] = ~40.97 cm
Consider the system of equations. 5x + 2y = 6, 10x + 4y = 12 Which equation is equivalent to the first equation of the system and can be used to solve the system using the linear combination method
Step-by-step explanation:
(5x+2y=6)2
10x+4y=12
10x+4y=12 then substract
10x+4y=12
0=0 true so, it have infinite s/n
3
Find the volume of the prism. *
1.5 m
2 m
4 m
Answer choices are:
A) 8m^3
B) 12m^3
C)10m^3
6m^3
Answer:
[tex]12m^{3}[/tex]
Step-by-step explanation:
Multiply all the variables together to get the answer (only for rectangular prism).
So I basically did 4 x 2 x 1.5 = 12 Then I applied the unit of measurement and cubic meters as it is volume.The formula is length x width x heightHELPPP I NEED IT I DONT KNOW WHAT TO DO
Answer:
3/2
Step-by-step explanation:
Its because its saying the largest box to the smallest.
since the largest box has a side of 3 it should be on top and the smallest is 2, should be on the bottom.
Ignore all negetive fraction because they are useless.
Solve the following equation using any method of your choosing: 6x² +24x = 0
Answer:
x = 0 or x = -4
Step-by-step explanation:
Solve: 6x² +24x = 0
First you can factor this binomial.
6x² +24x = 6x (x + 4) = 0
so x = 0 or x + 4 = 0
x = 0 or x = -4
Please help me I’m about to cry
Answer:
LKH and JKM
Step-by-step explanation:
Aye, if you're gonna cry bro, take a break. This stuff means nothing in like 2 or 3 years. Trust me :)
Answer: it is angle LKH and angle JKM
Step-by-step explanation:
Verticals angles are angles that are opposite to each other and have the same degree measure. Since line JL is parallel to line GI, then MF is the transversal, creating some vertical angles. I’m not sure how else to explain it but you can connect the letters (in order) of the different angles to figure out what angles they are, and then find ones that are opposite angles. I hope this helped!
A race awards prizes for the first and second place winners. If 10 people enter the race, how many different ways can the prizes be awarded?
Group of answer choices
90
10
45
20
Answer:
10
Step-by-step explanation:
there is only ten ways to do it
