Answer:
B) Angle G is smaller than angle P.
Step-by-step explanation:
It's logic, the only way the hypotenuse could be shorter is if the angle opposite of it is more acute.
I know that's a mouthful and probably sounds really weird but just trust me.
Would appreciate brainliest, new to brainly! good luck!
The correct option is, (B) Angle G is smaller than angle P.
It's logic, the only way the hypotenuse could be shorter is if the angle opposite of it is more acute.
What is called triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.A triangle is also a polygon.Some real-life examples of triangles include sandwiches, traffic signs, cloth hangers, and a rack in billiards.What is triangle and its types?Triangles are shapes with three sides.There are different names for the types of triangles.A triangle's type depends on the length of its sides and the size of its angles (corners).There are three types of triangle based on the length of the sides: equilateral, isosceles, and scalene.
What is triangle shape?In Geometry, a triangle is a three-sided polygon that consists of three edges and three vertices.The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees.This property is called angle sum property of triangle.
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combining like terms please asap
The like terms are 1.3b and -3.2b because they both have the variable b attached to it so you may combine them
(1.3b + (-3.2b) ) + 7.8
-1.9b + 7.8
Hope this helped!
~Just a girl in love with Shawn Mendes
How many layers of material were the roads made of?
A.two
B.three
C.four
D.five
which of these triangle pairs can be mapped to each other using a reflection and a translation
Answer:
B
Step-by-step explanation:
If you have the a,b,c,d
Find the missing lengths of the sides. b = , c = 16 b = , c = b = , c = b = , c = 12
To find the missing lengths of the sides, you need to use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Explanation:To find the missing lengths of the sides, you need to use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). So, the equation is: a² + b² = c².
For example, if b is missing and c is 16, you can plug the values into the equation and solve for b: a² + b² = 16². Once you find the value of b, you can follow the same process for the other missing lengths.
Remember to square each side length before adding them. Then, find the square root of the sum to find the length of the hypotenuse.
How many multiples of $6$ are between $100$ and $500$?
Answer:
67
Step-by-step explanation:
First number between 100 to 500 which is divisible by 6 is 102
Multiples of 6 between 100 to 500 :
102,102+6,102+6+6,....
This Forms an AP
a= first term = 102
d = common difference = 6
Last number between 100 to 500 which is divisible by 6 is 498
So, [tex]a_n=498[/tex]
Formula of nth term = [tex]a_n=a+(n-1)d[/tex]
[tex]498=102+(n-1)6[/tex]
[tex]498-102=(n-1)6[/tex]
[tex]396=(n-1)6[/tex]
[tex]\frac{396}{6}=n-1[/tex]
[tex]66=n-1[/tex]
[tex]66+1=n[/tex]
[tex]67=n[/tex]
Hence there are 67 multiples of 6 between 100 to 500.
Merlin Industries bought a laptop for $2,100. It is expected to depreciate at a rate of 14% per year. What will the value of the laptop be in 5 years? Round to the nearest dollar.
Question 4 options:
$912
$988
$1,806
$4,043
988
A year later will depreciate $294
The following year $253
On the third year $217
The fourth year. $187
And the 5th year. $161
Answer:
$988Step-by-step explanation:
[tex]100\%-14\%=86\%=0.86\\\\0.86\cdot\$2,100-\text{after the first year}\\0.86\cdot(0.86\cdot\$2,100)=0.86^2\cdot\$2,100-\text{after the second year}\\0.86\cdot(0.86^2\cdot\$2,100)=0.86^3\cdot\$2,100-\text{after the third year}\\\vdots\\0.86^5\cdot\$2,100\approx\$988-\text{after the fifth year}[/tex]
The ratio of boys to girls at a local sports club is 3-1.if there are 45 girls how many boys are there
Answer:
I'm pretty sure the answer is 43
because you have to minus 2 from the girls each time to get the boy answer. Hope this helps :)
Step-by-step explanation:
Talk Time Phone Company charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for its phone service. The equation below can be used to find c, the total cost for one month when m minutes are used. If a customer’s bill for the month is $38.00, how many minutes did the customer use the phone?
Take the total price - rate . 0.12
38 - 8 = 30 / 0.12 = 250 <- The customer used 250 mins.
Hope I helped :)
Find an equation of variation where y varies directly as x and y = 0.8 when x = 0.4
Answer:
y = 2x
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 0.8 when x = 0.4
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{0.8}{0.4}[/tex] = 2
y = 2x ← equation of variation
To find an equation of direct variation given that y = 0.8 when x = 0.4, we use the form y = kx to determine the constant k, which is 2. Thus, the equation of variation is y = 2x.
To find an equation of direct variation where y varies directly as x, we use the form y = kx, where k is the constant of variation.
Given that y = 0.8 when x = 0.4, we can substitute these values into the equation to find k.
Solving for k, we get k = y / x = 0.8 / 0.4 = 2. Therefore, our equation of variation is y = 2x.
Can’t work out angle 2x-30 I don’t know what this means and is the angle next to 68 a right angle or straight line : would I subtract 180 - 68
Answer:
x = 63 degrees.
Step-by-step explanation:
So first, 2y - 30 = 68 degrees.
It is because of alternative interior angles.
2y - 30 = 68
2y = 98 Move the -30 to the other side
98/2 = 49 So, y = 49
So in a triangle, the 3 angles equal 180 degrees.
So you do 49 + 68 = 117 degrees. You do this, because the 2 angle not including x is 49 and 68
Then you subtract 117 from 180
180 - 117 = 63 degrees. You do this because the 3 angles of a triangle equal 180 degrees.
So x = 63 degrees
Answer:
x = 63
Step-by-step explanation:
Since AB and CD are parallel lines, then
2y - 30 = 68 ( corresponding angles )
Add 30 to both sides
2y = 98 ( divide both sides by 2 )
y = 49
The third angle in the triangle = 68 ( alternate angles )
The sum of the 3 angles in the triangle = 180°, that is
x + y + 68 = 180 ← substitute value of y
x + 49 + 68 = 180
x + 117 = 180 ( subtract 117 from both sides )
x = 63
Las bases de un prisma recto son dos triangulos rectangulos cuyos catetos miden 1.5 cm y 1.8 cm, respectivamente, el prisma tiene una altura de 4.5cm. calcula su area total y volumen
Answer:
Part 1) The surface area is [tex]SA=35.1\ cm^{2}[/tex]
Part 2) The volume is equal to [tex]V=12.15\ cm^{3}[/tex]
Step-by-step explanation:
The question in English is
The bases of a right prism are two rectangle triangles whose legs measure 1.5 cm and 1.8 cm, respectively, the prism has a height of 4.5 cm. calculates its total surface area and volume
Part 1) Find the surface area
The surface area is equal to
[tex]SA=2B+Ph[/tex]
where
B is the area of the base
P is the perimeter of the base
h is the height of the prism
Find the area of the base B
[tex]B=(1.5)(1.8)=2.7\ cm^{2}[/tex]
Find the perimeter of the base P
[tex]P=2*(1.5+1.8)=6.6\ cm[/tex]
we have
[tex]h=4.5\ cm[/tex]
substitute the values
[tex]SA=2(2.7)+(6.6)(4.5)=35.1\ cm^{2}[/tex]
Part 2) Find the volume
The volume is equal to
[tex]V=Bh[/tex]
where
B is the area of the base
h is the height of the prism
we have
[tex]B=2.7\ cm^{2}[/tex]
[tex]h=4.5\ cm[/tex]
substitute
[tex]V=(2.7)(4.5)=12.15\ cm^{3}[/tex]
Plzzzzzzzz help me this is really hard
Answer:
4dg=40cg
Because dg to cg rate is 1:10
Answer:
4000 cgs
Step-by-step explanation:
This one requires 2 sets of brackets. You are best to work in grams.
1 dg = 10 grams
1 cg = 0.01 grams.
I wouldn't fret about this if I were you. This is the first time I've actually used these units. Most likely if you really need them, you can just look them up.
4 dg * [10 grams / 1 dg] * [ 1 cg / 0.01 grams]
40 grams * 1 cg / 0.01 grams
= 4000 cgs.
Notice the first set of brackets get's rid of the dgs
the second set of brackets gets rid of the grams.
Help I need it
A laptop computer has a selling price of $800. This includes a 20% mark up. The computer is also being offered at a discount of 20%. A customer thinks that the seller is going to break even given this information. Is the customer correct Explain your reasoning?
A. what was the price of the laptop before the markup?
b. what is the discounted price of the laptop?
Answer: customer is incorrect
Step-by-step explanation:
I am working this from b first
b $800 x .20 (20%) = $160 discount
$800 - $160 = $640 customers price
the price of the computer after the 20% discount would be $640
a customer thinks seller is going to break even this is not true
$640 (customer cost after discount) x .20 (20% discount) =$ 128
$640 + $128 = $768
Cost of the laptop before the 20% markup is $667.67
$666.67 x .20 = $133.33
$666.67 + $133.33 = $800
$768 ≠ $667.67
Can someone help me with this? ASAP.
You need to multiply the amount it is dropping per day by the number of days, so you would have 0.3d
You would then need to subtract that amount from the current level of 25 feet.
Now you have 25 - 0.3d.
This total needs to be greater than or equal to 13 feet.
25 -0.3d ≥ 13
Which graph represents the compound inequality? h2-5 and h<2
2 is correct, because:
1) we have a close interval
2)we must have node on x=-5
In the given figure find the value of x and y if AB parallel to CD
Answer:
x = 42
y = 38
Step-by-step explanation:
for y:
there is a corresponding angle at 58° so y + 20 must equal to 58. ∴y = 38°
for x :
first locate the straight angle at CD. The angle opposite 58° must also be 58° as it is vertically opposite. We have two values here.. 58° and 22°. Use your knowledge of straight angles and add 22 + 58, which equals to 80. Now subtract from 180 which = to 100°. We know that the angle sum of a Δ is 180° so add 38 and 100, which will give you 138°. Subtract from 180 to give you a total of 42°
Sorry if this was very lengthy haha
hope it helps:)
What is the length of the diagonal of a poster board with dimensions 22 inches by 28 inches? Round to the nearest tenth.
Answer:
The length of the diagonal of a poster board is [tex]35.6\ in[/tex]
Step-by-step explanation:
Let
x----> the length of the diagonal of a poster board
we know that
Applying the Pythagoras Theorem
[tex]x^{2}=22^{2}+28^{2} \\ \\x^{2}=1,268\\ \\x=35.6\ in[/tex]
Answer:
The length of the diagonal of a poster board is 35.6 inches.
Step-by-step explanation:
To find : What is the length of the diagonal of a poster board with dimensions 22 inches by 28 inches?
Solution :
The dimensions of a poster board is
Length = 22 inches
Breadth = 28 inches
The diagonal is given by,
[tex]D=\sqrt{L^2+B^2}[/tex]
[tex]D=\sqrt{22^2+28^2}[/tex]
[tex]D=\sqrt{484+784}[/tex]
[tex]D=\sqrt{1268}[/tex]
[tex]D=35.60[/tex]
Therefore, the length of the diagonal of a poster board is 35.6 inches.
A mountain climbing team is camped at an altitude of 18,460 feet on Mount Everest. The team wants to reach the 29,029 foot summit within 6 days. Write an inequality to find the average number of feet per day the team must climb to accomplish its objective.
The average number of feet per day they need to ascend is 'Feet climbed per day ≥ 1,761.5'.
The mountain climbing team must calculate the average number of feet to climb each day in order to reach the summit of Mount Everest, which is at an altitude of 29,029 feet. Starting from an altitude of 18,460 feet, the team needs to climb the remaining distance to the summit within 6 days. To find the average feet per day they need to ascend, we use an inequality.
First, we determine the total feet that the team must climb:
Total feet to climb = Summit altitude - Current altitude
= 29,029 feet - 18,460 feet
= 10,569 feet
Now we divide the total feet by the number of days to find the average feet per day:
Average feet per day = Total feet to climb / Number of days
= 10,569 feet / 6 days
Since the team must climb at least this average number of feet daily, the inequality will be:
Feet climbed per day ≥ 10,569 feet / 6 days
By solving the inequality, we find that the team must climb at least 1,761.5 feet per day.
Therefore, the inequality to represent the average number of feet the team must climb per day to reach the summit within 6 days is:
Feet climbed per day ≥ 1,761.5
The weather forecast for the day shows a 45% chance of
rain, a 45% chance of lightning, and a 25% chance of lightning
and rain. Which statement is correct?
A. The chance of rain and the chance of lightning are
independent because .2025 = .25
B. The chance of rain and the chance of lightning are
independent events because .45 = .45
C. The chance of rain and the change of lightning are
dependent events because .2025 2.25
D. The chance of rain and the chance of lightning are
dependent events because .45 = .45
Answer:
C
Step-by-step explanation:
If two events are independent, the probability of both happening are:
P(A and B) = P(A) × P(B)
In this case, if rain and lightening were independent:
P(rain and lightening) = P(rain) × P(lightening)
P(rain and lightening) = 0.45 × 0.45
P(rain and lightening) = 0.2025
However, we're told that P(rain and lightening) is 0.25, not 0.2025.
Since 0.2025 ≠ 0.25, the events are not independent, so they are dependent.
What is the I-value of the solution of the system of equatIons
x + 3y = 13 and 3x - y = –11?
The I-value of the solution of the given system of equations is -2.
Explanation:The I-value of the solution of the given system of equations can be found by solving the equations simultaneously.
We can solve the system of equations using the method of substitution or the method of elimination. In this case, let's use the method of substitution.
First, solve one equation for x in terms of y or vice versa. Let's solve the second equation for x:
3x - y = -11 => 3x = y - 11 => x = (y - 11)/3
Now substitute this value of x into the first equation:
x + 3y = 13 => (y - 11)/3 + 3y = 13 => (y - 11 + 9y)/3 = 13 => 10y - 11 = 39 => 10y = 50 => y = 5
Finally, substitute the value of y back into one of the original equations to find the value of x. Let's substitute y = 5 into the second equation:
3x - 5 = -11 => 3x = -6 => x = -2
Therefore, the solution to the system of equations is x = -2 and y = 5. The I-value of the solution is x, so the I-value is -2.
Final answer:
To determine the I-value for the given equations, we apply algebraic methods to solve for x and y; however, it's not possible to find an I-value without further context as I typically represents current in electrical engineering.
Explanation:
To find the I-value of the solution to the system of equations x + 3y = 13 and 3x - y = -11, we can use the method of substitution or elimination. However, the question seems to be a mix of content as it initially presents equations that are typical of algebra but then refers to finding a value for I1 which is more in line with physics or engineering contexts, particularly with circuit analysis where I represents current. Since we are given two standard linear equations, we will solve them as algebraic expressions to find the values of x and y.
Solution:
First, we solve one of the equations for one variable and then substitute it into the other. Let's solve the first equation for x:
x = 13 - 3y
Next, we substitute this expression for x in the second equation:
3(13 - 3y) - y = -11
Simplify and solve for y:
39 - 9y - y = -11
-10y = -11 - 39
-10y = -50
y = 5
Now, substitute y into the expression we found for x:
x = 13 - 3(5)
x = 13 - 15
x = -2
The solution to the system of equations is x = -2 and y = 5. If the variable I is meant to represent the current in a circuit, this solution does not directly provide the I-value without additional context of the circuit's parameters.
The sale price of apples at a local grocery store is $1.35 for the first pound and $1.10 for each additional pound. Which function rule shows how the cost of apples, y, depends on the number of pounds, x?
1.)y = 1.10(x – 1) + 1.35
2.)y = 1.10x + 1.35
3.) y = 1.35x + 1.10
4.)y = (1.10 + 1.35)x
Answer:
1.) y = 1.10(x – 1) + 1.35
Step-by-step explanation:
When x pounds of apples are purchased, the number of "additional" pounds is (x-1). The cost of those additional pounds is then added to the cost of the first pound to get ...
y = 1.10(x -1) +1.35
_____
Comment on the function rule
Personally, I think it is easier to write the rule as y = 1.10x +0.25, considering the first pound to have a $0.25 premium added to its otherwise $1.10 cost. This saves an operation when evaluating the formula for some value of x.
what is the equation of a circle centered at the origin with a radius of 15?
Answer:
x² + y² = 225
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ← r is the radius, so
x² + y² = 15², that is
x² + y² = 225
The table shows Alice's age (a) and her daughter Martha's age (m). Complete the table and the equation.
Alice’s Age in Years
(a) Martha’s Age in Years
(m)
28 6
33
37 15
41 19
48
This equation relates Alice’s and Martha's ages in years.
Alice’s age (a) = Martha’s age (m) +
this is easy but i want u guys to get points
Answer:44
Step-by-step explanation:
The equation relates Alice’s and Martha's ages in years. Alice’s age (a) = Martha’s age (m) + 22 The blank spots on table are filled by 33-11 and 48-26.
What does it mean to solve an equation?An equation represents the equality of two or more mathematical expressions.
When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
The table shows Alice's age (a) and her daughter Martha's age (m).
In order to find the blank spots, we need to find the difference in the filled spots. We are trying to figure out the difference which is subtraction.
28 - 6 = 22
37 - 15 = 22
To find Martha's age when Alice was 33, we would subract 22.
33 - 22 = 11
similarly, when Alice was 48.
48 - 22 = 26
And the last equation is asking the difference between them, which is 22.
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what is the sum of the cards card one-9 card 2 is 4 card 3 is -3 card 4 is 2
Answer:
-6
Step-by-step explanation:
-9+4=-5-3=-8+2=-6
Before soccer practice, Laura warms up by jogging around the soccer field that is 80 yards by 120 yards . How many yards does she jog if she goes around the field two times.
19200! hope this helps! good luck
Answer:
800 yards
Step-by-step explanation:
80 x 4 + 12 x 4 = 800
Hope this helps!
What is the perimeter of this square?
26 ft
26.5 ft
24.5 ft
13 ft
6.5 x 4 = 26
The perimeter of the square is 26 ft.
Answer: 26 ft
Step-by-step explanation: you have add all sides.
Suppose a diver dove from a diving platform 4 feet above the water and stopped at –8 feet to pick up some scallops. Which expression models this situation and tells how far below the diving platform she is?
A. –4 + |–8|
B. |4| + |8|
C. 4 – |–8|
D. 4 + |–8|
Answer: Option D.
Step-by-step explanation:
By definition, the absolute value of a number is its distance from 0 on a number line. We know that the distances cannot be negative. Then:
[tex]|-a|=a[/tex]
We can assume that the water is at level 0.
We know that the diver dove from a diving platform, which is 4 feet above the water, and then she stopped at -8 feet to pick up some scallops.
This indicates that she stopped at 8 feet below the water.
Therefore, in order to find how far below the diving platform the diver is, we must add 4 feet and the absolute value of -8 feet.
Then, the expression that models this situation is:
[tex]4+|-8|[/tex]
Notice that it matches with the expression shown in Option D.
Solve (-18^3+17x+6)/(3x+2)
Answer:
[tex]\frac{17x-5826}{3x+2}[/tex]
Step-by-step explanation:
The polynomial - 18x³ + 17x + 6 is divided by 3x + 2. Then the polynomial will be - 6x² + 4x + 3.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
- 6x² + 4x + 3
3x + 2 ) - 18x³ + 17x + 6
- 18x³ - 12x²
+ 12x² + 17 x + 6
+ 12x² + 8x
+ 9x + 6
+ 9x + 6
0
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What is the mean absolute deviation of the data set?
{8, 11, 12, 17}
Enter your answer in the box. Round to the nearest tenth, if necessary.
Answer: The Mean Absolute Deviation (MAD) is 2.5.
Step-by-step explanation:
The mean absolute deviation of the data set {8, 11, 12, 17} is calculated by first finding the average of the numbers, then calculating the absolute deviations from this mean, and finally averaging those deviations to get a MAD of 2.5.
To calculate the mean absolute deviation (MAD) of the data set {8, 11, 12, 17}, we first find the mean of the data set and then find the average of the absolute deviations from this mean. The mean (average) of the data set is calculated by adding all the numbers together and dividing by the number of numbers, which in this case gives us (8 + 11 + 12 + 17) / 4 = 48 / 4 = 12.
We then calculate the absolute deviations from this mean for each number: |8 - 12| = 4, |11 - 12| = 1, |12 - 12| = 0, and |17 - 12| = 5. Finally, we calculate the average of these absolute deviations: (4 + 1 + 0 + 5) / 4 = 10 / 4 = 2.5. Therefore, the mean absolute deviation of the data set {8, 11, 12, 17} is 2.5.
the line that passes through the points (-5,-6) and (-3,2) and the line with equation y=x-4 intersect at what point?
Answer:(-6,-10)
Step-by-step explanation:
Let’s say that A is (-5,-6) and B is (-3,2). The slope of AB is (-6-2)/(-5+3)=(-8)/(-2)=4
The equation of AB is:
y-2=4(x+3)
y=4x+14
The lines intersect in:
4x+14=x-4
3x=-18
x=-6
(-6,-10)