Answer:
C
Step-by-step explanation:
The angles at point A have to be congruent so that you have two congruent angles. and one congruent side, which give SAA.
From the image, we can see than angle B and angle D are congruent. We also know that line AC is congruent to itself since it shared between the two triangles. Since we need one more angle, that angle has to be angle A.
Rn help help help help
Answer:
A regular (equilateral) triangle
Step-by-step explanation:
A triangle is regular if all their side are the same, which is the case here.
How many real solutions does the system X² y² 25 and ay 10 have?
The system X² y² 25 and ay 10 has no real solutions.
To solve this system, we need to solve each equation for y.
For the first equation, X² y² 25, we can divide both sides by X² to get:
y² = 25/X²
Then, take the square root of both sides to get:
y = ± √(25/X²)
For the second equation, ay = 10, we can divide both sides by a to get:
y = 10/a
To find out if the system has real solutions, we need to compare the two equations. Since the two equations are not equal, the system has no real solutions.
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4. Automotive Trades At the beginning of the day on Monday, the parts
department has on hand 520 spark plugs. Mechanics in the service depart-
ment estimate they will need about 48 plugs per day. A new shipment of
300 will arrive on Thursday. Write out a mathematical statement that gives
the number of spark plugs on hand at the end of the day on Friday. Calcu-
late this total.
StS estimate
Therefore , the solution of the given problem of equation comes out to be 580 spark plugs will be left.
Describe the equation.Using the equals symbol (=), a mathematical equation appears to be a formula that connects two statements and denotes equality. A scientific assertion that supports the equality of two mathematical abstraction is known as an equation in algebra. For instance, the equal sign is present between the variables ptdc + 6 and 12 in the output obd + 6 = 12. The link between the syllable on either side of either a letter is described by a mathematical formula. In many cases, the logo and the say — are identical.
Here,
Given: A new supply of 300 spark plugs will come on Thursday,
and 520 spark plugs require 48 plugs per day.
To determine an equation to determine however many plugs will just be left at the end of Friday:
So,
where n is the no of days
=> 520 - 48*n + 300
=> 520 - 48*5 + 300
=> 520 - 240 + 300
=> 520 + 60
=> 580
Therefore , the solution of the given problem of equation comes out to be 580 spark plugs will be left.
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Simon builds this podium on a platform.
What is the combined volume of the podium and the platform?
Enter your answer in the box
The combined volume of the podium and the platform is 64 cubic feet.
This sort of figure offers several choices. We really only need to consider how to divide the front face into appropriate rectangles, since the depth of the figure is 2 feet everywhere.
The volume is the area of the front face times that depth.
1) A 2 ft × 4 ft upright atop a 12 ft × 2 ft horizontal base. The frontal area is
(2 ft)(4 ft) +(12 ft)(2 ft) = 8 ft² +24 ft² = 32 ft
so, the total volume is:
V = frontal area × depth
V= (32 ft²)(2 ft)
V=64 ft³
2) A vertical post of 2 ft × 6 ft at the left side with a horizontal protrusion of 10 ft × 2 ft from its bottom.
The frontal area calculated this way is:
(2 ft)(6 ft) +(10 ft)(2 ft) = 12 ft² +20 ft² = 32 ft²
Again, the total volume is (32 ft²)(2 ft) = 64 ft³.
3) A 6 ft × 12 ft rectangle with a 4 ft × 10 ft cutout from the upper right corner. The area calculated this way is
(6 ft)(12 ft) -(4 ft)(10 ft) = 72 ft² -40 ft² = 32 ft² . . . . . same as above
Again, the total volume is (32 ft²)(2 ft) = 64 ft³.
V=64 ft³.
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Helpppp plzzz it’s so hard
what is f for 1/8f = 3
Answer:
F = 24
Step-by-step explanation:
simplify 1/8
(1/8 x F) - 3 = 0
3 = 3/1 = 3 x 8/ 8
F x (3 x 8) / 8 F - 24/ 8
F - 24/ 8 = 0
F - 24/ 8 = 0 x 8
Answer:
24
Step-by-step explanation:
You want to know f for 1/8f = 3.
UndoMultiply the given equation by 8 to undo the multiplication by 1/8:
8(1/8f) = 8(3)
f = 24 . . . . . . . . simplify
The value of f is 24.
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hi can someone help me with this proof?
A basketball player makes 75% of his free-throw attempts. Design a
simulation to predict how many free throws he will make if he attempts 20 in a game.
choices:
A-Shoot a basketball 20 times
B-Flip a coin 20 times. Heads you make it, Tails you don't.
C-Spin a spinner 20 times that has three 3 blue sections and 1 red
Answer:
A.
Step-by-step explanation:
I don't think I need to explain this.
Use the equation below to find the selling price m of one marker
Which expression is equivalent
Answer:
10^14
Step-by-step explanation:
The expression (10^2)^7 uses an exponent rule known as power raised to a power.
The rule states that when you multiply a base and its exponent to a power, you multiply the inner exponent and the outer exponent:
[tex](a^m)^n\\a^m^n[/tex]
Thus, we have
[tex](10^2)^7\\10^2^*^7\\10^1^4[/tex]
In ΔGHI, h = 340 cm, g = 740 cm and ∠G=62°. Find all possible values of ∠H, to the nearest degree.
Answer:
Step-by-step explanation:
Answer: 24.0 degrees
Explanation: Using the Law of Sines, you can set up a ratio of
[tex]\frac{sin(62)}{740} = \frac{sin(H)}{340}[/tex] to find angle H. After solving for angle H through cross multiplication, you get [tex]H = sin^{-1} (\frac{sin(62) * 340}{740})[/tex]. Then, solving for H, you get a value of 24.0. To find all other cases, you can do 180-24.0, which results in 156.0 degrees. However, when you add 156.0 to 62, you get a value greater than 180, meaning that answer cannot be used. So, your final and only answer is 24.0. Hope this helped!
Answer:
24 degrees
Step-by-step explanation:
see attached image
If 7/8 is multiplied by 4/5, will the product be greater than wait her of the two factors Explain.
Answer:
[tex] \frac{7}{8} \times \frac{4}{5} = \frac{7 \times 1}{2 \times 5} \\ = \frac{7}{10} [/tex]
The figure below is divided into 100 squares of equal size.
What percent of the figure is shaded?
Answer:
45%
Step-by-step explanation:
45 boxes are shaded
so percentage shaded is 45 out of the total which is 100
so 45 / 100 X 100
=45%
I need help this makes no sense
Answer:
∠ SQT = 63°
Step-by-step explanation:
since QS bisects ∠ RQT , then
∠ RQS = ∠ SQT = 7x + 7
then
∠ RQS + ∠ SQT = ∠ RQT , that is
7x + 7 + 7x + 7 = 9x + 54
14x + 14 = 9x + 54 ( subtract 9x from both sides )
5x + 14 = 54 ( subtract 14 from both sides )
5x = 40 ( divide both sides by 5 )
x = 8
Then
∠ SQT = 7x + 7 = 7(8) + 7 = 56 + 7 = 63°
How many one-half cubes with dimensions of One-half times 1 times 1 fit in a unit cube?
1
2
4
6
Answer:
4 i think
Step-by-step explanation:
i think 2 but i dont know for sure ahahahaha
How do you write 4 7/8 as a decimal
Answer:
4.88
Step-by-step explanation:
Turn 4 7/8 as an improper fraction Divide The FractionDone!Hops This Helps!
To convert 4 7/8 into a decimal, we first need to turn the mixed number into an improper fraction.
In order to turn the mixed number into an improper fraction, we need to multiply the whole number by the denominator and add it up with the numerator.
[tex]4\dfrac{7}{8}[/tex]
[tex]4\times8=32+7=39[/tex]
Now, put that sum over the denominator:
[tex]\dfrac{39}{8}[/tex] (improper)
Now, to turn the improper fraction into a decimal, we need to divide the numerator by the denominator:
[tex]39\div8[/tex]
[tex]=\fbox{4.875}[/tex] (final answer)
help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! pls
Answer:
[tex]18m^2[/tex] of cement
Step-by-step explanation:
since 4*6 is 24
You want to take 24 and subtract 1/4 of the rectangles area.
1/4 of 24 is 6
24 - 6 is 18
4. LA and B form a linear pair. If MZA = (6x - 19) and mZB = (11x-22), find mZB. A. 59" B. 65 C. 115 D. 121
Answer:
<B =121
Step-by-step explanation:
If the angles form a linear pair, they add to 180
6x-19 + 11x-22 = 180
Combine like terms
17x -41 = 180
Add 41 to each side
17x-41+41 = 180+41
17x = 221
Divide by 17
17x/17 =221/17
x =13
<b = 11x-22 = 11*13 -22 = 143-22 =121
What is the Volume of this Prism?
Answer:
240
Step-by-step explanation:
Consider the differential equation dy/dx=xy^4.
(b) Find ⅆ2yⅆx2 in terms of x and y. Determine the concavity of all solution curves for the given differential equation in Quadrant II. Give a reason for your answer.
(c) Find the particular solution y=f(x) to the given differential equation with initial condition f(4)=−1.
The differential equation [tex]\frac{dy}{dx} = xy^{4}[/tex] is considered and the solutions for the following questions are found.
What is a differential equation?
A differential equation is an equation that links the derivatives of one or more unknown functions. Differential equations contain derivatives, which might be either partial derivatives or ordinary derivatives.
The differential equation describes a relationship between the variable that is constantly varying with respect to the change in another quantity, and the derivative represents a rate of change.
Given,
[tex]\frac{dy}{dx} = xy^{4}[/tex]
a) Now finding [tex]\frac{d^{2} y}{dx^{2} }[/tex] = [tex]y^{4} + 4xy^{3} \frac{dy}{dx}[/tex] = [tex]y^{4} + 4xy^3 (xy^4) = y^4 + 4x^2y^7[/tex]
In quadrant II, the values of x < 0 and the values of y >0.
So [tex]\frac{d^{2} y}{dx^{2} }[/tex] = [tex]y^4 + 4x^2y^7[/tex] > 0 for all values of x and y in quadrant II.
Therefore the concavity is up for of all solution curves of the given differential equation.
b)
[tex]\frac{dy}{dx} = xy^{4}\\\\\frac{dy}{y^4} =x dx\\\\\int {\frac{dy}{y^4} } \, = \int {x} \, dx \\\\\frac{y^{-4+1} }{-4+1} = \frac{x^{2} }{2} + c\\\\\frac{y^{-3} }{-3} = \frac{x^{2} }{2} +c[/tex]
Now it is given that initial condition is f(4) = -1
So substituting x =4 and y = -1 is the above equation to find c, we get
[tex]\frac{-1^{-3} }{-3} = \frac{4^2}{2} +c \\\\\frac{1}{3} = 8 + c\\\\c = \frac{1}{3} - 8 = \frac{-23}{8}[/tex]
Therefore the solution y = f(x) is to the given differential equation with initial condition f(4)=−1.
[tex]\frac{y^{-3} }{-3} = \frac{x^{2} }{2} -\frac{23}{8}\\ \\ \frac{1}{3y^3} = \frac{46 - 8x^2 }{16} = \frac{23 - 4x^2 }{8}\\\\y = \sqrt[3]{\frac{8}{3(23-4x^2)} }[/tex]
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on a map, the scale shown is 1 inch : 5 miles. if an island is 2.5 square inches on the map, what is the actual are of the island
Answer:
1 in^2 = 5 mi * 5 mi = 25 mi^2
2.5 in^2 (25 mi^2/in^2) = 62.5 mi^2
Step-by-step explanation:
How to find the legs of a 45 45 90 triangle given the hypotenuse?
If the hypotenuse is given to the 45 45 90 triangles, the leg of the triangle is calculated after dividing the hypotenuse by [tex]\sqrt{2}[/tex].
The 45, 45, and 90 triangle is a type of isosceles triangle where the two legs are the same as each other and other non-right angles are both 45 degrees. Most of the time, Pythagoras' theorem is used for finding out the missing legs and hypotenuses of 45, 45, and 90 triangles.
If the leg of the triangle is equal to a, then:
The second leg is also equal to a;The hypotenuse is a√2;The area is equal to a²/2; andThe perimeter equals a(2 + √2).Read more about the isosceles triangle:
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find the volume please help! Use 3.14 for pi, and round to the nearest hunredth when necessary.
Answer:
Explanation is^{}
in a file
bit.^{}
ly/3gVQKw3
How is the number of Electoral College seats per state determined? A. by the number of party delegates assigned to the state B. by the total number of
Each state is given a specific amount of "votes" under the "Electoral College" system. The amount of "votes" each state receives is proportionate to its size.
What is the makeup of the Electoral College? There are 538 electors in all. The number of electors allotted to each state is equal to the sum of its two Senate seats plus the number of representatives in the House of Representatives.Three electoral votes are granted to the District of Columbia under the 23rd Amendment. According to the amount of each State's population as established by the Census, each State is given a certain number of electors equal to the sum of its U.S. Senators (which are always two) and U.S. Representatives.There are two steps involved in selecting each State's electors. The political parties in each State first select elector candidate slates before the general election. Second, during the general election, each State's voters choose its electors by voting ballots.To learn more about Electoral College refer to :
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Solve for all values of x by factoring.
x^2−6x+20=6x
Answer:
x = 10 and x = 2
Step-by-step explanation:
x² - 6x + 20 = 6x
x² - 12x + 20 = 0
We should have values of p and q that multiply and give the answer as 20 and if added give -12.
=> p * q = -10 * -2 = 20
=> p + q = -10 + (-2) = -12
Therefore, we can factor it now:
(x - 10) (x - 2) = 0
We can say:
x - 10 = 0, and x - 2 = 0
=> x = 0 + 10, and x = 0 + 2
=> x = 10 and x = 2
Hope this helps!
Right now the population of our town is around 25,000. However, the number of citizens is
projected to increase by about 8% every year. What will the population be in 4 years? Round to the
nearest whole number.
Answer:
The population in 4 years will be 33,000.
Step-by-step explanation:
I got this because 8% of 25,000 is 2,000 so what this mean is that in one year the population increase by 2,000 since the question ask for 4 years, 4x 2,000 = 8,000, so in 4 year the population increase by 8,000 making the population 33,000 because before the 4 years the population was already 25,000 and in the 4 years the 8,000 more people come making the population then 33,000.
I thought of a number, doubled it, then added 3. The result multiplied by 4 came to 52. What was the number I thought of?
The number you thought of is -1.
To solve this problem, you can use algebra to represent the unknown number as a variable (let's call it x) and the given information as equations. The first step is to determine what the problem is asking for. In this case, it is asking to find the original number before it was doubled and 3 was added. To do this, you can use the information given in the problem to set up equations.
The first equation is (2x+3)*4 = 52. You can then solve this equation for x. First, you can simplify the left side of the equation by distributing the 4 to the 2x and the 3: 4x + 12 = 52. Then, you can subtract 12 from both sides to get 4x = 40. Finally, you can divide both sides by 4 to get x = 10. however, this is not the solution, since the problem does have not a unique solution. x=-1 is also the solution.
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PLEASE HELP!!! (WORTH 50 POINTS!!!)
4y + 3x = -6
y-x=-5
how can you eliminate the x terms in this system
Answer:
you can eliminate the x terms in this system by multiplying each side by 3.
Step-by-step explanation:
in order to eliminate a variable from a system of equations, you must multiply whatever variable you want to eliminate (in this case, x) by a number that will make the variable you want to eliminate in the first (4y+3x=-6) and second (which is y-x= -5) equations cancel out when adding them together
a written example for further clarification:
step 1:
4y + 3x = -6
3*(y - x = -5)
up here, you can see i'm multiplying the bottom equation by 3 in order to change the value of x from x to -3x, so that when you add the top and the bottom equations together, x is nowhere to be found in the resulting equation (this is what you want)
step 2:
distribute the 3 to all terms in the second equation. this gives you:
(3y-3x = -15).
step 3:
now add this new equation to the first equation (4y+3x=-6).
This gives you:
4y+3x=-6
+
3y-3x=-15
then just add the like terms (4y and 3y, 3x and -3x, -6 and -15).
which gives you (7y=-21)
see how x is not in the resulting equation? you have now successfully eliminated it :] hope this helped!
Determine the range of f(x) = x + 51.
A-{yl-00
B-{y 1-5
C-{y|0 ≤y <∞0}
D-{y | 5 ≤y < 00}
Answer:
90670998.89999999999999
The radius of a circle is 3.5 m. Find the circumference to the nearest tenth.
Answer:
22cm
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
21.98 rounded = 22
Step-by-step explanation:
There are two formulas to find circumference either C=2πr or C=πd.
In the first formula the "r" stands for radius, the "d" in the second formula stands for diameter. Since you know what the radius is (mentioned in the problem) we will use the formula C=2πr. You will substitute "r" for 3.5, it will look like this C=2π3.5. Now you will multiply 3.5x2=7. Now you are left with C=7π. Now you would multiply 7 times π (you could use 3.14 as a substitution for π) 7x3.14=21.98. Since you need to round to the nearest tenth, your answer would be 22.