Answer:
y = -1/2x + 4
Step-by-step explanation:
Use the slope formula (change in y divided by change in x) to find the slope. (-1/2). Then pick one of the points and plug it back into the new equation using -1/2 as your slope.
The area of a parallelogram is 12 square units. one side of the parallelogram is 18 units long. the other side is 6 units long. determine whether each dimension could be the height of the parallelogram. pick all correct. a. 2/3 units b. 3/2 units c. 2 units d. 3 units
option (a) and (C).
The height of the parallelogram is 2 units and 2/3 units.
The sides of parallelogram are 6 units and 18 units .
Area of parallelogram (A) =12 square units.
Base of parallelogram (B) = 6 units.
formula used:
A = B*H
12 = 6*H
H = 12/6
H = 2 units.
if, base of parallelogram (B) = 18 units
A = B*H
12= 18*H
H = 12/18
H = 2/3 units.
the height of parallelogram are 2 and 2/3 units.
#123
For more information:
The parallelogram has a height of 2/3 units.
Given that,
A parallelogram has a surface area of 12 square units. The parallelogram has a side that is 18 units long. There are 6 units on the other side.
For a parallelogram to find the height;
Let,
Area of the parallelogram = Base * Height
12 = 18 * H
H = 12/18
H = 2/3
Therefore, the height of the parallelogram is 2/3 units.
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A culture of bacteria doubles every 2 hours if there are 100
bacteria at the beginning how many bacteria will be there after
6 hours?
Answer:
800 bacteria.
Step-by-step explanation:
Please give the brainliest.
Simplity
Scientific notation
(2,4 x 10³)
Answer:
2400
Step-by-step explanation:
2.4 × 10³ means move the decimal point 3 times.
2400
please explain the answer
Answer: £4.26
Step-by-step explanation:
i think it is this:
the oranges cost £1.42 per kg and you have 1.5 kg of oranges so do £1.42 x 3=£4.26
PLEASE HELP MEEEEE!!!!!!!!!!
Answer:
i cant see that
Step-by-step explanation:
1. Find the value of x, y, and mEBF. SHOW ALL WORK.
The value of x is 9.
The value of y is 41
The value of angle EBF = 56°
Given,
The angles;
∠ABD = (3x + 7)°
∠DBC = (5x + 11)°
∠FBC = (3y + 1)°
We have to find the value of x, y and ∠EBF.
Here,
∠ABC = ∠ABD + ∠ DBC
∠ABC = 90° (Right angle)
Then,
90° = (3x + 7)° + (5x + 11)°
90 = 3x + 7 + 5x + 11
90 = 8x + 18
90 - 18 = 8x
x = 72/8
x = 9
Then,
∠ABD = (3x + 7)° = 3 × 9 + 7 = 27 + 7 = 34°
∠DBC = (5x + 11)° = 5 × 9 + 11 = 45 + 11 = 56°
Now,
∠FBC + ∠DBC = 180°(Linear pair angles)
3y + 1 + 56 = 180
3y + 57 = 180
3y = 180 - 57
y = 123/3
y = 41
Then,
∠FBC = (3y + 1)° = 3 × 41 + 1 = 123 + 1 = 124°
Next,
We have to find ∠EBF
∠EBF ≅ ∠DBC (Vertical angles)
Then,
∠EBF = 56°
We can check;
∠EBF + ∠FBC = 180°(Linear pair)
56 + 124 = 180°
Therefore,
The value of x is 9.
The value of y is 41
∠EBF = 56°
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Special right triangles find missing sides.
Answer:
56+45=101
101-90=11 °
Step-by-step explanation:
here is your answer 11°
A line with a slope of 7 passes through the points (2,–8) and (4,z). What is the value of z?
Answer:
z : 6
Step-by-step explanation:
points: (2,-8) and (4, 6)
40 POINTS (don't answer incorrectly just to get points)
The formula for the perimeter of a rectangle in terms of the width w is w=(P-2l)/2.
Given that, the formula for the perimeter of a rectangle is P=2(l+w).
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Here, the perimeter is P=2(l+w)
⇒ P=2l+2w
⇒ P-2l=2w
⇒ w=(P-2l)/2
Hence, the formula for the perimeter of a rectangle in terms of the width w is w=(P-2l)/2.
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You put $12,984 into an investment at 6.12% for seven and a half years. What will the balance be at the end of seven and a half years?
A toy company makes wooden blocks. A carton holds 87 blocks.
How many blocks can 15 cartons hold?
The cartons can hold
blocks.
Using mathematical operations, we know that 15 cartons can hold 1,305 wooden blocks.
What exactly are mathematical operations?A mathematical "operation" is the process of calculating a value utilizing operands as well as a math operator. The provided operands or integers must adhere to a predetermined body of norms relating to the math operator's symbol. The order of operations is a rule that specifies the right steps to take when analyzing a mathematical equation. The PEMDAS operations you can recollect in this sequence are parentheses, exponents, multiplying, division (from Left to Right), addition, and subtraction (from left to right).So, a number of blocks 15 cartons can hold:
We know that,
1 carton can hold 87 blocks.Now, calculate as follows:
15 cartons = 87 × 1515 cartons = 1,305 blocksTherefore, using mathematical operations, we know that 15 cartons can hold 1,305 wooden blocks.
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After a 25% discount, the price of a T-shirt was $12. What was the price before the
discount?
Answer:
$16
Step-by-step explanation:
100-25=75
75/100=12/x
75x=100(12)
75x=1200
/75. /75
x=16
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Which expression is equivalent to √-80?
O-4√√5
O-4√√51
O 4√51
O 4√√√5
The equivalent to √-80 is 4√5
What is square root of imaginary ?
The square root of minus one √(−1) is the "unit" Imaginary Number, the equivalent of 1 for Real Numbers. In mathematics the symbol for √(−1) is i for imaginary.
The given expression is √-80
The factors of 80 is
⇒√-(2 * 2* 2 * 2 * 5)
Take 4 out of the root
⇒ 4√-5
Since value inside the root is not to be negative. If it is then it means it is imaginary root or i.
So, the answer will be
⇒ 4√5
Hence, the equivalent to √-80 is 4√5
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the square base of a pyramid has an area of 144 square feet. If the slant height of the pyramid is 10 feet, what is the height of the pyramid
Answer: The answer would be 8ft
Step-by-step explanation:
What is the average of 1 to 9 numbers?.
The average of 1 to 9 Integers is 5 because average is computed by adding a set of numbers and then dividing by the total number of those numbers.
By average, do you mean overall?By dividing the total number of values by the total number of numbers, the average can be computed. A mean is the mathematical average of a set of two or more data items. Common names for average include mean and mathematical mean. The term "mean" simply represents the average of the sample.
What do you mean by average?The core value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio of the total number of data points to the amount of units in the list. The term "mean" in statistics also refers to the average of a particular set of numerical data.
To calculate average = 1+2+3+4+5+6+7+8+9/9
=45/9= 5
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i need help on this thanks
Answer:
2x + 20 = 3x (alternate angles)
x = 20
The polygon is enclosed by a circle, center o so that each vertex touches the circumference of the circle
show that the radius ao of the circle is 11.6 cm correct to the nearest 1 decimal place
Answer:
total is discarding 7 tables for you the Fall Festival by placing the same number of paper skeletons and bats on each table all together he used 84 scouters and 84 bats how many paper shapes went on each table
Anataia i grocery hopping with her father and wonder how much hopping i left to do. "We already have 60\%60%60, percent of the item on our lit," her father ay. Anataia ee 12 item in the cart. How many grocery item are on the lit?
Using Proportion formula,
the number of grocery items in her shopping list is twenty.
We have given that,
Both Anataia and her father already completed shopping percentage = 60%
total items in her cart = 12
we have to find number of groucery items she pucharsed.
let X be total number of items purchased by anatia or in her list .
60% of her whole shopping = 12 items in her cart
=> 60/100 of her whole shopping = 12 items
so, total 100% of her whole shopping= N items
Using the proportion,
x:y = a:b => xb = ab
similarly, 60 : 100 = 12 : X
=> 60X = 12 × 100
=> 60 X = 1200
=> X = 1200/60
=> X = 20
Hence , total number of items in her list is 20.
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Write the following expression as a simplified polynomial in standard form.
2(x+3)^2+3(x+3)+1
Answer:
11 times (9x)
Step-by-step explanation:
3 cartons of eggs cost $4.50. How much will 6 cartons of eggs cost?
A vehicle was valued at $36,000 in the year 2011. The value depreciated to $12,000 by the year 2015. Assume that the car continues to drop at a constant rate. How long will it take for the car to be valued at $800?
The car will cost $ 800 after a depreciation time of approximately 6 years.
In what year does a car cost $ 800 due to depreciation?
Herein we are informed about the case of a car bought in 2011 at a cost of $ 36,000 and that depreciates linearly every year. Then, the depreciation function is described below:
c(t) = c' + m · t
Where:
c' - Initial cost of the car, in monetary unit.m - Depreciation rate, in monetary unit per year.t - Time, in years.If we know that c(0) = 36,000, c(4) = 12,000 and c(t) = 800, then the depreciation rate is:
m = (12,000 - 36,000) / (4 - 0)
m = - 24,000 / 4
m = - 6,000
800 = 36,000 - 6,000 · t
6,000 · t = 35,200
t = 35,200 / 6,000
t = 5.867
The expected depreciation time is approximately 6 years.
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Write an equation for the trend line shown on the scatter plot. WEIGHT (LBS) 50 45 40 35 30 15 10 5 4 6 7 8 9 10 1 2 3 4 5 LENGTH OF TRIP (DAYS) pls help
Answer:
y=mx+b
Step-by-step explanation:
f(x) = (x - 1)²
Helpppp!
Answer:
x = 1
Step-by-step explanation:
f(x) = (x - 1)²
f(x) = (x -1)(x - 1)
*Note: to find zeros set your equation equal to zero
x - 1 = 0
x = 1
*Since both quantities are the same x = 1 is your only zero.
Angle E and angle F are supplementary if m angle E =62 find m angle F
If Angle E and angle F are supplementary to each other, and (∠E = 62°), then the measure of ∠F will be 118°.
As per the question statement, Angle E and angle F are supplementary to each other, and (∠E = 62°),
Then we are required to calculate the measure of ∠F.
To answer this question, first we need to understand the concept of supplementary angles. "Two angles are said to be supplementary to each other, if their sum is equal to 180°".
That, if Angle E and angle F are supplementary to each other, then
[(∠E + ∠F) = 180°],
Or, [(62° + ∠F) = 180°]...[∵(∠E = 62°), given]
Or, [∠F = (180 - 62)°]
Or, (∠F = 118°)
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find the measure of the indicated angle, GIVE STEPS PLEASE!!
The measures of the indicated angles are 35 °, 238.73° & 18.40 ° respectively.
What are the trigonometric identities?
All trigonometric identities are based on the six trigonometric ratios. Sine, cosine, tangent, cosecant, secant, and cotangent are the values. All of these trigonometric ratios are defined using the sides of a right triangle, such as an adjacent side, opposite side, and hypotenuse side.
Let's consider,
x = opposite side of an angle of the triangle.
y = adjustant side of an angle of the triangle.
z = hypotenuse of the triangle.
θ = angle of the triangle.
i) In the first diagram
We have,
y = 49
z = 60
[tex]cos\theta = \frac{y}{z}[/tex]
θ = cos⁻¹(0.816)
θ = 35 °
ii) In the second diagram
We have,
y = 41
x = 10
θ = ?
[tex]tan\theta = \frac{x}{y}[/tex]
θ = tan⁻¹(0.2439)
θ = 238.73°
i) In the third diagram
y = 53
x = 17
θ = ?
[tex]tan\theta = \frac{x}{y}[/tex]
θ = tan⁻¹(3.11)
θ = 18.40 °
Hence, the measures of the indicated angles are 35 °, 238.73° & 18.40 ° respectively.
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PLEASE HELL!!
For the given item below, show your solution and tell whether lines m and n are parallel. If
not, state your reasoning
m/2 = (5x + 3), m/3 = (8x - 5)°, x = 14
As their measure of angles are not the same with respect to the positive x-axis they are not parallel.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
We know two lines are parallel if their slope is equal.
Given are two lines m and n.
For line m, slope(m) is m/2 = (5x + 3)° where x = 14.
Slope(m) is, m/2 = (5·14 + 3)°.
m/2 = 73°.
m = 146°.
For line n, slope(m) is, m/3 = (8x - 5)° where x = 14.
m/3 = 107°.
m = 321°.
As their measure of an angle is not the same with respect to the positive x-axis these two lines are not parallel.
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the 10 students in the environmental club represents 20% of the students in the seventh grade. how many students are in the seventh grade
Answer: 50
Step-by-step explanation:
20 = 1/5
So if 10 is equal to one fifth the grade we can multiply 10 by 5 to find the other parts of the grade
Answer:
50 students
Step-by-step explanation:
10/x=20/100
Cross multiply
10(100)=20x
1,000=20x
/20. /20
50=x
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Just 12 IM DESPERATE PLS FINALS TOMORROW
12. In the figure given, we have x, y, z parallel lines. The answers are given below.
Parallel lines Converse
a. ∠8≅∠20 x, z x and z are parallel lines
b. ∠1≅∠9 x, y x and y are parallel lines
c. m∠3+m∠10=180° x, y x and y are parallel lines
d. ∠11≅∠16 - Opposite angles are equal
e. m∠6+m∠24=180° x, z x and z are parallel lines
f. ∠14≅∠23 y, z Opposite angles are equal
g. ∠4≅∠21 x, z x and z are parallel lines
h. m∠8+m∠18=180° x, z x and z are parallel lines
i. ∠5≅∠15 x, y x and y are parallel lines
The figure shows that x, y, z are parallel lines. m and n are trasversals drawn intersecting these parallel lines. When a transversal intersects two lines, the opposite angles are equal and the consecutive angles on the same side sum upto 180.
The corresponding angles are equal when a transversal intersects parallel lines. For example, ∠2 = ∠10 = ∠18 as they are corresponding angles and ∠2 = ∠4 and ∠4 = ∠10 as they are opposite angles.
∠2 +∠3 = 180° as they are on the same side of the transversal and are consecutive angles.
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15% of $9 is $_________.
Answer:
$1.35
Step-by-step explanation:
15% of $9 is $1.35
(9/100)*15 = 1.53
so and $1.35
Graph: y=3/4x+5
pls i need help ASAP!!!!
Answer:
Step-by-step explanation:
You will put your first dot on the x at 5. Then from 5 you will go up 3 and over 4 and put another point. Then from there you will go up 3 over 4 and put another point so on so forth.