Answers
Related Questions
We can show that triangle abc is congruent to triangle a prime b prime c prime by translation of
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Final answer:
To show congruence by translation, we need to show that corresponding sides and angles of the triangles are equal.
Explanation:
To show that triangle ABC is congruent to triangle A' B' C' by translation, we need to show that they have the same shape and size.
Translation is a transformation that moves every point of a figure the same distance in the same direction. Therefore, to show congruence by translation, we need to show that the corresponding sides and angles of the two triangles are equal.
For example, if we have AB || A'B' and AB = A'B', BC || B'C' and BC = B'C', and AC || A'C' and AC = A'C', then we can conclude that triangle ABC is congruent to triangle A' B' C' by translation.
What is the length of chord AB ?
A. 5.8 ft
B. 5.5 ft
C. 6.1 ft
D. 6.25 ft
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3 - 2.25 = 0.75
3^2 - 0.75^2 = 8.4375
√8.4375 = 2.9
AB = 2 (2.9) = 5.8
The odds that you will pick a heart from a standard deck of 52 cards is 13:39. TRUE or FALSE
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the odds of picking a heart is 13:39.
the statement is TRUE.
To determine whether the statement is true or false, we need to calculate the odds of picking a heart from a standard deck of 52 cards and compare it to the given odds of 13:39.
Step 1: Calculate the number of hearts in a standard deck.
A standard deck of 52 cards contains 13 hearts.
Step 2: Calculate the total number of cards in the deck.
A standard deck of 52 cards contains 52 cards.
Step 3: Calculate the odds of picking a heart.
The odds of picking a heart can be expressed as the ratio of the number of favorable outcomes (hearts) to the number of unfavorable outcomes (non-hearts).
Number of hearts: 13
Number of non-hearts: 52 - 13 = 39
So, the odds of picking a heart is 13:39.
Now, let's compare the calculated odds (13:39) with the given odds (13:39).
Since the calculated odds match the given odds, the statement is TRUE.
A cone-shaped hat is shown:
A cone is shown with slant height 18 cm and radius 5.7 cm. The unknown height is labeled with a question mark, and the line joining the tip of the cone to the base is perpendicular to the base.
What is the approximate height of the hat?
3.51 centimeters, because height = Square root of the difference of 18 and 5.7
17.07 centimeters, because height = Square root of the difference of the squares of 18 and 5.7
18.88 centimeters, because height = Square root of the sum of the squares of 18 and 5.7
4.87 centimeters, because height = Square root of the sum of 18 and 5.7
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h^2=x^2+y^2
18^2=5.7^2+y^2
y^2=18^2-5.7^2
y^2=291.51
y=√291.51
y≈17.07
It's the second explanation down...
Answer:
B. 17.07 centimeters, because height = Square root of the difference of the squares of 18 and 5.7.
Step-by-step explanation:
The formula of height (h) of a cone is: [tex]h=\sqrt{l^2-r^2}[/tex], where,
[tex]l[/tex] = Slant height of cone,
[tex]r[/tex] = Radius of cone.
Upon substituting slant height = 18 cm and radius = 5.7 cm, we will get,
[tex]h=\sqrt{(18)^2-(5.7)^2}[/tex]
[tex]h=\sqrt{324-32.49}[/tex]
[tex]h=\sqrt{291.51}[/tex]
[tex]h=17.0736639301586348\approx 17.07[/tex]
Therefore, the height of cone is 17.07 cm and option B is the correct choice.
Which graph represents the function f(x) = (x – 5)2 + 3?
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3. Suppose e and f are real numbers where e>0 and f<0.
(a) Is -e+f positive or negative. Explain how you know.
(b) Is e-f positive or negative? Explain how you know.
(c) Is f-e positive or negative. Explain how you know.
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Given that e and f are real numbers where e > 0 and f < 0.
Since e > 0, this means that e is positive and -e is negative.
Also, since f < 0, this means that f is negative.
The sum of two negative numbers gives a negative number.
Therefore, -e + f is negative.
Part B:
Given that e and f are real numbers where e > 0 and f < 0.
Since e > 0, this means that e is positive.
Also, since f < 0, this means that f is negative and -f is positive.
Recall that e - f = e + (-f)
The sum of two positive numbers gives a positive number.
Therefore, e - f is positive.
Part C:
Given that e and f are real numbers where e > 0 and f < 0.
Since e > 0, this means that e is positive and -e is negative.
Also, since f < 0, this means that f is negative.
Recall that f - e = f + (-e)
The sum of two negative numbers gives a negative number.
Therefore, f - e is negative.
Write each whole number using words.
a) 325
b) 9,542,006
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b) nine million five hundred forty-two thousand and six
Write the interval (3,20] as an inequality and using set notation
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Which value of k would cause the system of linear equations 35x+14y=119 and 5x+2y=k to have an infinite number of solutions?
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The value of k in the equation is k = 17 and the equation 5x + 2y = 17 and
5x + 14y = 119 has infinite number of solutions
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Now , the value of A is
35x + 114y = 119 be equation (1)
Let the second equation be represented as B
Now , the value of B is
5x + 2y = k
For the system of equations to have infinite number of solutions ,
equation (1) = equation (2)
So , 5x + 2y = 35x + 114y
And , 7 ( 5x + 2y ) = 35x + 114y
So , the value of k = 119/7
On simplifying the equation , we get
k = 17
Therefore , the value of k is 17
Hence , the value of k from the equation is k = 17
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The following table shows the data collected from 4 random samples of 50 students from a small middle school regarding the type of television shows they prefer to watch:
Television Show Preferences
Sample News Music Movies Cartoons Total
1 2 12 6 30 50
2 3 10 5 32 50
3 5 13 7 25 50
4 6 19 8 17 50
Based on the results in the table, which type of television show is preferred by the majority of students in the samples?
News
Music
Movies
Cartoons
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If we add up the numbers
Number who prefer cartoons = 30+32+25+17 = 104 out of 200
Television show preferred by the majority of students in the samples is Cartoon
What is majority ?Majority is More than half or just the larger part.
What is addition?The addition of two whole numbers results in the total amount or sum of those values combined
Total number of students= 50+50+50+50 =200 students
Total number of student who prefer news =2+3+5+6=16 students
Total number of student who prefer music = 12+10+13+19 = 54 students
Total number of student who prefer movies = 6+5+7+8 = 26 students
Total number of student who prefer cartoon = 30+32+25+17 = 104 students
Hence, television show preferred by the majority of student in the samples is Cartoon
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Mary creates a table of values for a function and plots the points. She finds that the difference in the y values is the same. What kind of function did she graph? linear quadratic square root exponential
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Answer:
A
Step-by-step explanation:
How many liters of wine can be held in a wine barrel whose capacity is 28.0 gal? 1 gal = 4 qt = 3.7854 l?
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given that:
1 gal=4 qt=3.7854 l
then:
28 gal will be equivalent to the following number of liters;
28/1*3.7854
=105.9912 l
thus the number of liters of wine that can be held in a wine barrel is 105.99 l
Answer:
105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.
Step-by-step explanation:
Proportion states that the two ratios or fractions are equal.
Let x be the liters of wine can be held in a wine barrel whose capacity is 28.0 gal.
Given that:
1 gal = 3.7854 l
then
by definition of proportions;
[tex]\frac{1}{3.7854} =\frac{28}{x}[/tex]
By cross multiply we get;
[tex]x = 28 \times 3.7854 = 105.9912[/tex] liters
Therefore, 105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.
Tuna provides 30 calories per ounce . On a graph representing the relationship between the number of ounces of tuna a person consumes and the number of calories the tuna provides which quantity should be graphed on the x-axis
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Answer:
Ounces of tuna will go on the x axis and calories on the y axis. This is because the relationship between the number of ounces a person eats and the calories he consumes then is a positive correlation (a line with a positive slope which goes from lower left to upper right) with x being the independent variable. As x increases, y increases. In other words you can ONLY change the amount of calories you consume WHEN you change the amount of ounces you eat. You can't change the number of calories independent of the number of ounces. The independent variable goes along the x axis, cuz the x variable always represents the independent variable.
Step-by-step explanation:
Line GJ is tangent to point A at point G.
What is m∠AGJ?
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hope it helps
АG is a radius
A tangent line to a circle is perpendicular to the radius drawn to the tangent point ⇒ m∠АGJ = 90°
Why is sin(20) = sin(160) = -sin(200) = -sin(340)?
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Answer:
see.
Step-by-step explanation:
The value of sin is the same at the same distance from the cuadrant limit of the point. For the case of 20°, we have that the sin is the same in the following case:
As 20 is positive we use the limit cuadrant at 90°. The distance of 20 to 90 is 70. So, sin(20)=sin(90+70)=sin(160).
Also we have that sin(x) is a odd function, so sin(-x)=-sin(x), so
sin(-20°)= -sin(20°)
-sin(-20°)=sin(20°)
-sin(340°)=sin(20°).
and,
sin(-160°)=-sin(160°)
-sin(-160°)=sin(160°)
-sin(200°)=sin(160°)=sin(20°).
a rectangular school gym has a length of x+24 and a width of x-10. Which measure does (x+24)(x-10) represent?
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l x w = area
(x+24)(x-10) means (x+24) *(x-10) which is to calculate the area
Answer: The measure (x+24)(x-10) represents the AREA of the rectangular school gym.
Step-by-step explanation: Given that a rectangular school gym has a length of (x+24) and a width of (x-10).
We are to find the measure that (x+24)(x-10) represent.
The expression (x+24)(x-10) is the product of the length and breadth of the given rectangular school gym.
Also, we know that
the product of the length and breadth of any rectangle is equal to the area of that rectangle.
Therefore, the measure (x+24)(x-10) represents the AREA of the rectangular school gym.
You have $50 in your savings account.Each week you deposit $5 in your account. Write an expression that models the situation.
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It is 30y because there are 7 days in a week and each week you deposit $5 so 5*7 is 30.
Solve log 6 60 - log 6 30
A.) 2
B.) log 6 2
C.) 5
D.) log 6 30
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Using that formula we get:
[tex]log_6(60) - log_6(30) = log_6(2)[/tex]
so B is your answer :)
A garden has 8 white roses and 11 red roses. One rose is plucked from the garden and then one more rose is plucked without replacement let the event w=plucking a white rose for the first time and event r=plucking a red rose for the second time in two or more complete sentences explain the meaning of probabilities p(r/w) and p(w/r) do they have the same value
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P(w/r) is the probability of picking a white rose at first picking and a red rose at second picking.
P(r/w) = [tex] \frac{11}{19} [/tex]×[tex] \frac{8}{18} [/tex] = [tex] \frac{88}{342} [/tex]
P(w/r) = [tex] \frac{8}{19} [/tex]×[tex] \frac{11}{18} [/tex]=[tex] \frac{88}{342} [/tex]
Notice that the second fraction is out of 18 because the second picking of rose will be out of 18 since the first rose is not replaced.
P(r/w) equals to P(w/r)
A realty developer sell residential lots fir 4,000 per square meter plus a processing free of 25,000. one of the lots the realty developer is seling cost 625,000.
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625000 = ( 4000 * lots) + 25000
625000 - 25000 = 4000 * lots
600000 = 4000 * lots
lots = 600000 / 4000 = 150.
A rocket is launched into the air. The projectile motion of the rocket can be modeled using h(t) = 112t –16t2, where t is the time since launch in seconds and h(t) is the height of the rocket at time t. When will the rocket be 196 feet in the air?
A.) after 2.0 seconds
B.) after 3.5 seconds
C.) after 4.5 seconds
D.) after 7.0 seconds
*The answer is B, after 3.5 seconds. If anyone wants to properly explain how this is the correct answer, I will give you brainliest.*
Answers
.
h ( t ) = 112 t - 16 t²
When the rocket is 196 feet in the air:
196 = 112 t - 16 t²
16 t² - 112 t + 196 = 0
divide everything by 4 ( just makes numbers smaller and easier to work with)
4 t² - 28 t + 49 = 0
Now factor the equation:
( 2 t - 7 )² = 0
2 t - 7 = 0
2 t = 7
t = 7 : 2
t =
3.5 s
The rocket will be 196 feet in the air after 3.5 seconds.
True or false X=4 for both 1. 3x+10-(5+3)=14 2. 3x+10(3x-2)=60
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For the first equation,
3x+10-(5+3)=14
Every time we see an X, we need to place a 4 in its place.
3(4)+10-(5+3)=14
Using the order of operations, PEMDAS, we start to solve the equation.
3(4)+10-(5+3)=14
12 + 10 - (5+3) = 14
12 + 10 - (8) = 14
12 + 10 - 8 = 14
22 - 8 = 14
14 = 14
TRUE.
For the first equation, x does indeed equal 4.
However, we still need to see if x equals 4 for BOTH of the equations.
3x+10(3x-2)=60
3(4) + 10(3(4)-2) = 60
12 + 100 = 60
112 = 60
This isn't true.
To conclude, the answer is false. X doesn't equal 4 for both of the equations provided.
Hope I could help you out!
If my answer is incorrect, or I provided an answer you were not looking for, please let me know. However, if my answer is explained well and correct, please consider marking my answer as Brainliest! :)
Have a good one.
God bless!
WILL GIVE A BRAINLIEST IF UR RIGHT!! PLEASE HELP!!
The volume of a sphere is found using the formula V=4/3nr^3. The area of a circle is found using the formula A=nr^2. What is the ratio of the volume to the area?
A.
4/3r
B.
4/3r^5
C.
3/4r
D.
4/3nr
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- Your welcome
Solve for x: 3/4x+5/8=4x
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4x - 3/4x = 5/8
13/4x = 5/8
x = 5/8 * 4/13
x = 5/26
Given 2 events a and b, and that p(a)=0.30, p(b)=0.45, p(a u b)=0.60. find the probability p(a∩b).
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<=>
p(a ∩ b) = p(a) + p(b) - p(a U b)
I let you do the maths :)
1. In triangle ∆PQR, C is the centroid.
a. If CY = 10, find PC and PY
b. If QC = 10, find ZC and ZQ
If PX = 20, find PQ
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Since C is the centroid, therefore:
Segments PZ = ZR; RY = YQ; QX = XP
A.
If CY = 10, then
PC = 2*CY = 20
PY = PC + CY = 20 + 10 = 30
Answer: PC = 20 PY = 30
B.
If QC = 10, then
ZC = QC/2 = 5
ZQ = ZC + QC = 5 + 10 = 15
Answer: ZC = 5 ZQ = 15
C.
If PX = 20
Because the median RX bisects side PQ, therefore PX = QX = 20
PQ = PX + QX = 40
Answer: PQ = 40
Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F + G) (2) =
Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F - G) (6) =
Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F G) (2) =
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Answer with Step-by-step explanation:
F = {(0, 1), (2, 4), (4, 6), (6, 8)}
G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F+G)(2)=F(2)+G(2)
= 4+5
= 9
F = {(0, 1), (2, 4), (4, 6), (6, 8)}
G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F - G) (6) =F(6)-G(6)
=8-9
=-1
F = {(0, 1), (2, 4), (4, 6), (6, 8)}
G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F.G) (2) =F(2).G(2)
= 4×5
= 20
Find the center and radius of a circle defined by the equation x^2+yy^2+4x-8y+13=0
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x²+y²+4x-8y +13 = 0
(x² +4x) +(y² -8y )+13 = 0
(x²+4x+4) -4 +(y-8y +16) -16 +13 = 0
(x+2)² +(y -4)² = 7
the center is : (-2 , 4) and radius √7
Which of the following equations has only one solution?
x2 + 4x + 4 = 0
x2 + x = 0
x2 - 1 = 0
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(x+2)^2 = 0
x+2 = 0
x = -2
answer
this one has only one solution
1) x = {-2}
2) x = {0, -1}
3) x = {1, -1}
The first one only has one solution
What is the answer to this?
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Step 2: (2)(150) = 75x
Step 3: 300 = 75x
Step 4: x = 300/75 = 4