Answer:
leg = √7 units (approximately 2.65 units)
Step-by-step explanation:
Given a right isoceles triangle with a hypotenuse of 14 units, the two other legs must be congruent in length. Because this is a right triangle, the pythagorean theorem a^2 + b^2 = c^2, can be used.
Since the two legs are congruent, side a = side b. This means that
2leg^2 = hypotenuse.
_____________
2leg^2 = 14 units
÷ 2. ÷2
_____________
leg^2 = 7 units
√ √
____________
leg = √7 units
Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?
Answer:
y - 1 = 1/2(x -5)
Just took the test, hope this helps!
Answer:
y-1=1/2(x-5)
Step-by-step explanation:y-1=1/2(x-5) i took the test
Use the model to solve for x. A) x = -2 B) x = 4 C) x = 8 D) x = 12
The perimeter of a rectangular pool is 314 m.
If the width of the pool is 66 m, what is its length?
Answer:
The length is 91 meters
Step-by-step explanation:
The perimeter formula is 2W · 2L = 314
We know the width is 66 m, so we can then say:
132 · 2L = 314
-132 -132
2L = 182
L = 91
Hope this helped!
Leisure Life manufactures a variety of sporting equipment. The firm's predetermined overhead application rate was 150 per cent of direct labour cost. Job 104 included direct material of $20 000 and total costs were $25 000. The manufacturing overhead applied to Job 104 to date is
Answer:
3,000
Step-by-step explanation:
The computation of manufacturing overhead applied to Job 104 is shown below:-
We assume direct labor be x
Total Cost = Direct Materials + Direct Labor + overhead
$20,000 + x + 1.5x = $25,000
x = 2,000
Manufacturing Overhead = Direct Labor 2,000 × 150%
= 3,000
Therefore the manufacturing overhead applied to Job 104 is 3,000
x(x+5)+6(x+5)=(x+5)(?)
help
Answer:
x = -25/12 or x = -0.2
Step-by-step explanation:
x(x+5)+6(x+5)=(x+5)
Distribute
x^2 + 5x + 6x + 30 = x + 5
Combine
x^2 + 11x + 30 = x + 5
Subtract 1x from both sides
x^2 + 10x + 30 = 5
Subtract 30 from both sides
12x = -25
Divide 12 on both sides
x = -25/12 or -0.2
1/4(-64+100) how to solve this
Step-by-step explanation:
1/4(-64+100)=1/4(36)
=1/4*36/1
=36/4
=9
The value of the given expression is 9.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 1/4(-64+100).
Now, 1/4 ×36
= 9
Therefore, the value of the given expression is 9.
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Jared is reading a 300-page book he borrowed from the library. So far, he has 85 read pages. He has more days to read the book before he returns it to the library. How many 5 pages must he read on average per day in order to finish the book before he returns it to the library?
Answer
43days
Step-by-step explanation:
Given that the total number of pages is 300
and Jared has read 85 pages
this means he has 300-85=215 pages unread.
We are told that if he reads 5 pages per day in how many days would he be done with the 215 pages left.
to solve for the number of days left, we have to divide 215 by 5
that is
=215/5
=43 days
So Jared needs 43 days to read the 215 pages left and return the book to the Lilbrary.
I need help with this question
The value of x for the cube with volume 90 cubic inches is x = 4.4814 inches
Volume of a cubeThe volume of a cube is defined as the total number of cubic units occupied by the cube. The formula can be written as V = x³ where "x" is the length of edge or sides.
The length of an edge for the cube is x inches , given that the volume is 90 cubic inches then is x is calculated as follows:
x × x × × = 90 in³
x³ = 90 in³
x = ³√(90 in³) {take cube root of both sides}
x = 4.4814 in
Therefore, the value of x for the cube with volume 90 cubic inches is x = 4.4814 inches
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John earns $8.35 an hour. Last week he worked 21 hours.This week he worked 33 hours.
What is his straight time pay for the two weeks?
A. $460.90
B. $450.90
C. $175.35
D. $275.55
E. $409.15
aye I need help a little, In the inequality -9 < 9, which number appears farther left on a number line and why? A. -9 appears farther left because -9 is smaller than 9. B. 9 appears farther left because 9 is larger than -9. C. 9 appears farther left because 9 is smaller than -9. D. -9 appears farther left because -9 is larger than 9.
Answer:
A is the answer
Step-by-step explanation:
since -9 is a negative is and 9 is positive, -9 will appear furthest to the left on a number line.
Hope this helped, have a great day.
Answer:
A is the answer
Step-by-step explanation:
since -9 is a negative is and 9 is positive, -9 will appear furthest to the left on a number line.
Convert 18 1/2 into a improper fraction
Answer: 37/2
Step-by-step explanation:
Answer:
37/2
Step-by-step explanation:
18×2+1
=37
classify this triangle.
Hello!
- it is rectangular: it has a right angle
- but it is also isosceles: it has two equal sides starting from the right angle
so this triangle is an iscoceles right triangle
Write a calculation and a result that represents
the sum of -3 and 8.
Answer:
-3+8. (+ - = -)
so,-3+8=+5
(6x + 1)
37
Solve for x.
Answer:
atleast 5
Step-by-step explanation:
Answer:
this is your ans mark brainliest pls
a driver receives $-25$ points for each rule violation. what integer represents the change in points after 4 rule violations?
The integer that represents the change in points after 4 rule violations is -100.
If a driver receives a penalty of $-25$ points for each rule violation, it means that for each violation, the driver loses 25 points.
To find the change in points after 4 rule violations, we need to multiply the penalty per violation by the number of violations:
Change in points = Penalty per violation * Number of violations
In this case, the penalty per violation is $-25$, and the number of violations is 4. Plugging these values into the formula:
Change in points = (-25) * 4 = -100
Therefore, the change in points after 4 rule violations is -100. The driver would lose 100 points.
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A roller coaster slowly chugs up an incline at a steady rate and then picks up speed as it races down the other side.
Click through the graphs and select the one that would best represent the sentence above.
Answer:
The one that goes to the right
Step-by-step explanation:
Answer: It would be the one that looks like a triangle
The figure below shows a circle with center T, diameter PO, and tangent UI. Which of the angles must be right angles? Select all that apply.
A)
B)
C)
D)
E)
F)
The angles that must be right angles in the given figure are <PTU and <TOX.
To determine which angles must be right angles, we need to consider the properties of circles and tangents.
Angle <PTU: This angle is formed by the tangent UI and the radius TP. By the property of tangents, the tangent line is perpendicular to the radius at the point of tangency. Therefore, angle <PTU must be a right angle.
Angle <TOX: This angle is formed by the diameter PO and the tangent UI. According to the property of circles, any angle formed by a diameter and a tangent at the point of tangency is always a right angle. Hence, angle <TOX must also be a right angle.
The remaining angles, <TPX, <OTU, and <TUG, are not necessarily right angles. <TPX depends on the specific positioning of the point X on the circumference, and it may or may not be a right angle. Similarly, angles <OTU and <TUG do not have any specific properties that guarantee them to be right angles in this context.
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Complete question:
The figure below shows a circle with center T, diameter PO, and tangent UI. Which of the angles must be right angles? Select all that apply.
A) <TPX
B) <OTU
C) <PTU
D) <TUG
E) <PXO
F) <TOX
Which of the following is closest to the y-intercept of the function whose equation is Y= IOe'* (I) 10 (3) 27 (2) 18 (4) 52
The given equation is Y = IOe' * (I) 10 (3) 27 (2) 18 (4) 52. We have to find the y-intercept of the given function.
The y-intercept is the point where the graph of the function intersects the y-axis. When a point lies on the y-axis, the x-coordinate of that point is 0. Therefore, to find the y-intercept of the function, we need to set x = 0 in the given equation. Thus,Y = IOe' *
To find the y-intercept of a function, we need to substitute 0 for the x-coordinate in the equation. The value we get as a result of the substitution is the y-intercept. In the given equation, the value of y, when x is 0, is IO. Therefore, the y-intercept of the function is IO. The given function Y = IOe' * (I) 10 (3) 27 (2) 18 (4) 52 is an exponential function. An exponential function is of the form y = ab^x, where a and b are constants and b is a positive number greater than 1. Exponential functions can be used to model growth and decay processes. In the given function, the base is e, which is approximately equal to 2.718. Therefore, the function is of the form y = ab^x, where a = IO and b = e. The y-intercept of the function is IO.
The y-intercept of the function Y = IOe' * (I) 10 (3) 27 (2) 18 (4) 52 is IO.
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What is 703,937 rounded to the ten thousands place?
Answer:
700,000
Step-by-step explanation:
The integer number 703,937 rounded to the ten thousand's place will be 700,000.
What is the rounding of a number?The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.
The integer number is given below.
⇒ 703,937
Round the number 703,937 nearest ten thousand place.
If a thousand's place of the integer number is more than 5, then the ten thousand's place of the integer number will be increased by one.
In the thousand's place of the integer number is 3, then the number 0 will remain 0.
The integer number 703,937 rounded to the ten thousand's place will be 700,000.
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The ordered pairs in the table below represent a linear function
2
5
3
9
What is the slope of the function?
1/4
1/2
02
04
Answer: ITS C (2) trust me my guy
The slope of the function is,
⇒ m = 4
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The ordered pairs in the table below represent a linear function are,
(2, 5) and (3, 9)
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (9 - 5) / (3 - 2)
m = 4 / 1
m = 4
Thus, The slope of the function is,
⇒ m = 4
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find thw two numbers ratio if their ratio is 9:11 and their difference if 6
Answer:
11x - 9x = 6
2x = 6
x = 3
The numbers are 9(3) = 27 and 11(3) = 33.
27/33 = 9/11
find the coordinates of the image of the point.
C(-5,3); rotation 90° counterclockwise about origin, reflection in
the y-axis.
The image of point C(-5,3) after a 90° counterclockwise rotation about the origin and reflection in the y-axis is C"(-3,5).
To find the image of point C(-5,3) after a 90° counterclockwise rotation about the origin, we can apply the rotation formula:
x' = x * cos(theta) - y * sin(theta)
y' = x * sin(theta) + y * cos(theta)
In this case, theta is 90°, so the formulas become:
x' = -5 * cos(90°) - 3 * sin(90°) = 0
y' = -5 * sin(90°) + 3 * cos(90°) = 5
The result of the rotation is the point C'(0,5).
Next, we need to reflect C' in the y-axis. When a point is reflected in the y-axis, the x-coordinate changes its sign while the y-coordinate remains the same. Therefore, the image of C' after reflection in the y-axis is C"(-0,5), which simplifies to C"(-3,5).
So, the final coordinates of the image of point C after a 90° counterclockwise rotation about the origin and reflection in the y-axis are C"(-3,5).
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Complete question:
Find the coordinates of the image of the point. C(-5,3); rotation 90° counterclockwise about origin, reflection in the y-axis. (A) C"(5,3) (B) C"(-3,5) (C) C"(3,-5) (D) C"(-5, -3)
which expression below evaluates to true if and only if the units digit (also known as the one's digit or one's place) of an integer variable x is less than 8? assume x stores a non-negative integer.
The expression that evaluates to true if and only if the units digit of an integer variable x is less than 8 is :x % 10 < 8 where % is the modulo operator that gives the remainder of x divided by 10. This expression works by extracting the units digit of x using the modulo operator and then checking if it is less than 8. If it is, the expression evaluates to true.
To evaluate the truth value of an expression, we need to first understand the conditions under which it would be true and the conditions under which it would be false. The expression in question is evaluating the units digit of an integer variable x, so we need to consider the possible values that the units digit can take.Let's start by considering the values that would make the expression true. We are told that the units digit of x must be less than 8. This means that the units digit can take on any value from 0 to 7. So if the units digit of x is any of these values (0, 1, 2, 3, 4, 5, 6, or 7), then the expression would be true.Now let's consider the values that would make the expression false. The expression only evaluates to true if the units digit is less than 8, so any value of the units digit that is greater than or equal to 8 would make the expression false. This means that if the units digit of x is 8 or 9, the expression would be false.
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Mr. Harris has bags of apples on sale! Each bag contains the same number
of apples. Your mom buys 2 bags and gets a total of 16 apples. Your
grandmother buys 10 bags. How many apples did she get?
Answer:
80
Step-by-step explanation:
If your mom bought 2 bags of apple and it contained 16 apples then 16 apples ÷ 2 bags = 8 apples/per bag. then your grandma buys ten bags so 10 x 8 = 80.
Your grandma got 80 apples.
the amount of increase or decrease in a function usually written as a fraction
Answer:
considered the slope
Step-by-step explanation:
Two fourth-degree polynomials are multiplied together. What is the degree of the product? 1 4 8 16.
The degree of the product of two fourth-degree polynomials is 8.
When two fourth-degree polynomials are multiplied together, the degree of the product will be 8.
Explanation:A polynomial is a mathematical expression that is made up of terms that are either added or subtracted together. A polynomial can have several terms. The polynomial's degree is the highest power of its variable. The degree of a polynomial is determined by looking at the term with the highest power.
For example, if a polynomial is:5x^2 + 3x + 7
then the degree of the polynomial is 2 (the highest power of x in the polynomial).
When two fourth-degree polynomials are multiplied together, their degrees are added.4 + 4 = 8
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A traffic officer is monitoring traffic on a windy section of road that has a speed limit of 55 miles per hour. A car speeds past the officer and the radar gun indicates the car is traveling 68 miles per hour. How far will the speeding car travel in one minute?
Answer:
The relative speed of the passing car is 13 miles per hour.
Step-by-step explanation:
[tex]v = \frac{x}{t} \\ v = 13 \frac{mile}{hours} \\ t = 1 \: min \: = \frac{1}{60} \: hours \\ 13 = \frac{x}{ \frac{1}{60} } \\ 13 = \frac{60 \: x}{1} \\ x = \frac{13}{60} miles \: \\ and \: we \: are \: done.[/tex]
i hope i have been useful buddy.
good luck ♥️♥️♥️♥️♥️.
The Jones family is driving from San Antonio, Texas, to Anchorage, Alaska, which is a distance of 4304 miles. They have already driven 1639.2 miles.
How much farther does the family need to drive to reach Anchorage?
Answer: The family need to drive 2664.8 miles to reach Anchorage.
Step-by-step explanation:
Given : Total distance from San Antonio, Texas, to Anchorage, Alaska = 4304 miles
They have already driven 1639.2 miles.
Then, the distance needs to be travel to reach Anchorage = 4304- 1639.2 miles
=2664.8 miles
Hence, the family need to drive 2664.8 miles to reach Anchorage.
8 divided by 2 1/3 in fraction form
Answer:
24/7
hope this helps you
y = 4x – 4 Which of the following phrases describes characteristics for the graph of the equation?
Answer:
Option DStep-by-step explanation:
Given line y = 4x - 4The answer optionsA. A line with a negative slope that crosses the x-axis at a negative value and crosses the y-axis at a negative value.
Incorrect. The slope is positive: 4B. A line with a negative slope that crosses the x-axis at a positive value and crosses the y-axis at a positive value.
Incorrect. The slope is positive: 4C. A line with a positive slope that crosses the x-axis at a negative value and crosses the y-axis at a negative value.
Incorrect. The line crosses the x/axis at positive value of 1.D. A line with a positive slope that crosses the x-axis at a positive value and crosses the y-axis at a negative value.
Correct9514 1404 393
Answer:
D. A line with a positive slope that crosses the x-axis at a positive value and crosses the y-axis at a negative value.
Step-by-step explanation:
The given equation is in slope-intercept form.
y = mx +b . . . . where m is the slope, and b is the y-intercept
This tells you the slope is positive (up to the right) and the y-intercept is negative.
A line that goes up to the right from a point on the -y axis must cross the x-axis at some positive value.
The appropriate description is ...
A line with a positive slope that crosses the x-axis at a positive value and crosses the y-axis at a negative value
