Answer:
Below
Step-by-step explanation:
edited: FOR QIII (I didn't see that part)
Remember for a right triangle S-O-H-C-A-H-T-O-A
Tan is OPPOSITE LEG / ADJACENT LEG
make the right triangle with legs 3 and 4 ( in quadrant III)
then the hypotenuse is 5
sin = opp/ hyp = - 3/5
cos = - 4/5
csc = 1/sin = - 5/3
sec = 1/cos = - 5/4
cot = 1/tan = 3/4
Keith buys 3 yards of material to make a blanket. He trims off a total of 1/6 yard before he begins sewing. How much material remains for the blanket?
The remaining material for sewing is 5/2 material.
What is fraction?Fractions are used to represent smaller pieces (or parts) of a whole.
Given that, Keith buys 3 yards of material to make a blanket. He trims off a total of 1/6 yard before he begins sewing.
1/6 of 3 = 3x1/6 = 1/2
The remaining material = 3-1/2
= 5/2
Hence, The remaining material for sewing is 5/2 material.
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How can you use rates to determine weather a situation is proportional relationship?
Answer: If the rate is constant, then the situation is a proportional relationship. If the rate is not constant, then the situation cannot be a proportional relationship.
How to solve-2–(-12)
Answer:
10
Step-by-step explanation:
[tex]-2-(-12)\\=-2+12\\=12-2 \\=10[/tex]
How many square feet of tiles do you need to purchase to cover the floor of a 10.5 foot by 8.5 foot bathroom
You would need to purchase 89.25 square feet of tiles to cover the floor of a 10.5-foot by 8.5-foot bathroom.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
To determine the number of square feet of tiles needed to cover a 10.5-foot by 8.5-foot bathroom floor, we can use the formula for the area of a rectangle, L × W
As per the question, the length of the floor is 10.5 feet and the width is 8.5 feet, so the total area of the floor is 10.5 feet × 8.5 feet = 89.25 square feet.
Therefore, you would need to purchase 89.25 square feet of tiles to cover the floor of a 10.5-foot by 8.5-foot bathroom.
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The median monthly rent in 2000 was $602 and $651 in 2003. What was the percent increase in the median monthly rent prices from 2000 to 2003? Round to the nearest tenth of a percent.
Answer:9.8
Step-by-step explanation:
SIMPLIFY 2X+3Y^2(X-Y^2)
The required simplified expression is 2x + 3xy² - 3y⁴ which is determined by using the distributive property.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The expression is given in the question as:2x + 3y²(x - y²)
We have to simplify the given expression.
As per the question, we have
⇒ 2x + 3y²(x - y²)
Apply the distributive property of multiplication
⇒ 2x + 3xy² - 3y⁴
Therefore, the simplified expression is 2x + 3xy² - 3y⁴.
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MATHEMATICAL CONNECTIONS In Exercises 23 and 24,
use the given information to write and solve a system of
linear equations to find the values of x and y.
23. LMN = PQR, L = 40°, M = 90°,
P = (17x − y)°, R = (2x + 4y)º
The value of x and y are 3 and 11.
What is the congruent triangle?
Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.
Given that,
△LMN = △PQR
Thus ∠L = ∠P, ∠M = ∠Q, and ∠N = ∠R.
Also, ∠L = 40°, ∠M = 90°, ∠P = (17x − y)°, ∠R = (2x + 4y)°.
The sum of interior angles of a triangle is 180°.
∠L + ∠M + ∠N = 180°
40° + 90° + ∠N = 180°
∠N = 50°.
Therefore,
17x − y = 40 .....(i)
2x + 4y = 50 .....(ii)
Multiply equation (i) with 4 and add with equation (ii)
68x - 4y = 160
2x + 4y = 50
_________
70x = 210
x = 210/70
x = 3
Putting x = 3 in equation (ii)
6 + 4y = 50
4y = 44
y = 11
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During a sale all items of men clothing were reduced by 20% of marked price if the store made 5% profit on the cost price what % of profit did it make on the marked up price before the sale
Answer: Sales Price = ($17,000 * 20%) + $17,000 = $20,400
Find the missing angles
What is the image point of (3, 6) after the transformation T0,-3 o R90°
Answer:
The image point of (3,6) after the transformation T0,-3 o R90° can be found by first applying the transformation T0,-3, which shifts the point 3 units to the right and 3 units down. This results in the point (6,-3). Then, the transformation R90° rotates the point 90 degrees counterclockwise around the origin. This results in the point (-3,6). Therefore, the image point of (3,6) after the transformation T0,-3 o R90° is (-3,6).
a pineapple which was bought for $1.00 was sold at $1.30. calculate the profit percent
Answer:
The profit percent is 30%.
Step-by-step explanation:
Answer: 30%
Step-by-step explanation:
Your profit is $0.30 so you have to calculate what percent 30 is of 100 (I converted both numbers to cents) and you would get 30%
what is the value of X in the figure below?
Answer:
x = 35
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
(x + 110)° is an exterior angle of the triangle , then
x + 35 + x + 40 = x + 110
2x + 75 = x + 110 ( subtract x from both sides )
x + 75 = 110 ( subtract 75 from both sides )
x = 35
It says to find the surface area of the figure and to round to nearest hundredth. confused..
Find the missing side length.
Assume that all intersecting sides meet at right angles. Be sure to include the correct unit in your answer.
Answer:
5 yd
Step-by-step explanation:
Missing side = 11 - 6 = 5 yd
Find the measure of the arc or angle indicated.
The measure of arc DA is 104°.
What is inscribed angle?
In terms of geometry, an inscribed angle is the angle created when two chords intersect within a circle. It can also be described as the angle formed by two specified points on a circle at a given point on the circle. Two chords of the circle sharing an endpoint are equivalently used to define an inscribed angle.
We have to find the measure of arc DA.
In the given diagram the angle DBA is the inscribed angle.
Since, the measure of arc formed by inscribed angle is twice the measure of inscribed angle.
Here, m ∠DBA = 52°
Hence,
measure of arc DA = 2 (m ∠DBA)
= 2(52°)
measure of arc DA = 104°
Hence, the measure of arc DA is 104°.
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Find the circumference of a pizza if the diameter is 10 inches.
0.314 in.
3.14 in.
3.04 in.
31.4 in.
Answer:
31.4 inch
Step-by-step explanation:
So the circumference of a circle is pi times the diameter=10 times 3.14 (pi is around 3.14)=31.4
Eight minus a number is less than or equal to seventeen.
Can you help me with number 4 I can’t solve it I tried many ways. Help me do the full number 4 the x and the and angles please help me! Anyone
Answer:
x = 20 6/7∠3 = 65 3/7∠8 = 65 3/7Step-by-step explanation:
You have transversal n crossing parallel lines l and m, creating angles labeled 1–8. Angles 1, 3, 6, 8 are shown as obtuse, and the others are shown as acute. You want values of x and angles, given certain angle expressions.
4.The acute and obtuse angles are supplementary. Angles 3 and 5 are "consecutive interior angles", so are supplementary.
∠3 +∠5 = 180
(4x -18) +(3x +52) = 180
7x +34 = 180 . . . . . . . . . . collect terms
7x = 146 . . . . . . . . . subtract 34
x = 20 6/7 . . . . divide by 7
The measures of the angles are ...
∠3 = 4x -18 = 4(20 6/7) -18 = 83 3/7 -18 = 65 3/7
∠5 = 3x +52 = 3(20 6/7) +52 = 62 4/7 +52 = 114 4/7
Note that the total of angles 3 and 5 is 180°.
The problem asks for the measure of angle 8. Angle 8 is an alternate interior angle with respect to angle 3, so is congruent.
∠8 = ∠3 = 65 3/7
__
Additional comment
Note that the angle values of question 4 make the angles that appear to be obtuse in the diagram actually have measures less than 90°. The figure is not drawn to scale.
Brianna has 34 m of fencing to build a three-sided fence around a rectangular plot of
land that sits on a riverbank. (The fourth side of the enclosure would be the river.)
The area of the land is 140 square meters.
The dimensions of the field are 17 meters and 8.5 meters.
What is dimensions?
The minimal set of coordinates required to specify any point within a mathematical space is known as the dimension of the space in physics and mathematics. As a result, a line has a dimension of one because a point on it can be specified by a single coordinate, such as the point at 5 on a number line.
Given:
Brianna has 34 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank.
Since,
Area of rectangle = A = l x w ..(1)
where l = length and w = width
Perimeter = 2w + l
34 = 2w + l
l = 34 - 2w ..(2)
Plug this value in equation (1).
A = (34 - 2w) x w
140 = 34w - 2w^2
2w^2 - 34w + 140 = 0
The dimension w can be found as follows;
w = - b / 2a
Here a = 2, b = -34
⇒ w = -(-34)/2(2) = 34/4 = 8.5
Hence, the width is 8.5 meters.
Now to find the length.
Plug w = 8.5 in equation (2)
l = 34 - 2(8.5)
l = 34 - 17
l = 17
Hence, the dimensions of the field are 17 meters and 8.5 meters.
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Complete question:
Brianna has 34 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 140 square meters.
List each set of possible dimensions (length and width) of the field.
Write a summary of what you learned and understand about slope, and slope triangles. Use some of the words below in your summary.
Vertical
Horizontal
m
negative
positive
count
triangle
slope
Line
The answer contains a brief description of the slope and slope triangle.
What is the slope of line?
Determine the slope of the line using the slope formula given two line-side coordinates. The formula m=(y2-y1)/ describes the slope as the proportion of the change in y values to the change in x values (x2-x1). The coordinates of the first point corresponding to x1 and y1. The second points are situated at the coordinates x2, y2, and. It doesn't matter which point you choose to rank as the first and which as the second.
slope triangle:
A slope triangle is a tool that you can use to visually determine a line's slope. Slope here refers to the degree of steepness.
Imagine that you are a pilot and that you have ascended by 1,000 feet in the air vertically. You have advanced (horizontally) 3,000 feet by the time you are 1,000 feet above the ground. You can calculate how steep your rise was using those two measurements. The inclination increases as the plane move ahead a certain distance.
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Simplify 5i/3-5i. Show your work for full credit.
Answer:15i-25/34
Step-by-step explanation:
You have to multiply by 3+5i to get rid of the i on the bottom since you can't have it.
5i/3-5i x 3+5i/3+5i
Kim bought a new car for $28,000. She paid a 20% down payment and financed the remaining balance for 48 months with an APR of 4.3%. Assuming she made monthly payments, determine the total cost of Kim's car. Round your answer to the nearest cent, if necessary.
The total cost of kim's car is $30,021.61
What is total ?
Total refers to an entire or complete amount, and the verb "to total" means to combine two numbers or to destroy anything. In mathematics, you add integers to get the total; the outcome is the total. The result of adding 8 and 8 is 16.
20% of the car price
= (20 * 28,000 ) / 100
= $5600
She paid $5600 as down payment for new car
Financed remaining for 48 months = 4 years
APR = 4.3%
Loan amount = 28000 - 5600
= 22400
Monthly payment = [tex]\frac{P * R * (1+R)^{n} }{(1+R)^{n} - 1}[/tex]
Rate of interest = (R/12)/100
For 4.3 % R will be = 0.00358333
Monthly payment is = $508.78
So the total interest paid will be = $ 2021.61
Total cost of the car = cost price + interest
= 28000 + 2021.61
= 30021.61
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3. Pozfrescims nepibricoms
a) $5 x+8 ≤2-3 x
The value of x for the given inequality is always greater than and equal to -3/4.
In the given question we have to find the value of x.
The given inequality is 5x+8 ≤2-3x.
Now solving the given inequality.
To solve the inequality we firstly subtract 2 on both side, Then we equate the coefficient and variable in one side.
5x+8 ≤2-3x
Subtract 2 on both side, we get
5x+6≤-3x
Now subtract 5x on both side, we get
6≤-8x
Now divide by -8 on bot side, we get;
x≤-6/8
x≤-3/4
We change the inequality because the sign is changed.
Hence, the value of x for the given inequality is always greater than and equal to -3/4.
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which expression is equivalent to 2^3/2^7
A. 2^4
B. 1/2^4
C. -2^4
D. - 1/2^4
The sphere is a geometric body generated by turning a semicircle around its diameter ?
The theory tells us that the sphere is a three-dimensional body that arises by rotating a semicircle around its diameter.
¿What is the sphere?The sphere has been a three-dimensional body. The main characteristics of this body are:
All the points that make up the surface of the sphere are at the same distance from a particular point known as the center. It is a geometric field that arises when a semicircle rotates around its own diameter.In the attached image let's see an example of a sphere.
¡Hope this helped!
An airplane was flying at an altitude of 11,200 feet above sea level. The airplane then increased its altitude by 10,150 feet. The airplane will land at an airport that is located at sea level. What change in altitude must the airplane make in order to land?
With the application of Arithmetic operators altitude must the airplane make in order to land is 21350 feets.
What is Arithmetic operators ?
By combining operands with one arithmetic operator, an arithmetic operation is given. The built-in functions ADD, SUBTRACT, DIVIDE, and MULTIPLY additionally allow for the specification of arithmetic operations.
solution:
An airplane was flying at an altitude above the sea level is 11,200 feet
The airplane then increased its altitude by 10,150 feet.
By adding both the altitude 11,200 + 10,150 = 21350 feets
Therefore, altitude must the airplane make in order to land is 21350 feets
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U V||R T{. Find ST
ST=
Submit
Using the congruence angel theorem, the value of ST is 38.
In the given question given that, UV||RT.
We have to find the value of ST.
Given: UV||RT
Prove: Value of ST.
From the given diagram we can see that;
UT = 19
VS = 39
RS = 26
Using the Congruence Triangle Theorem;
∆USV≈∆TSR
So using the theorem;
US/VS = ST/RS………………(1)
From the given diagram we can see that
US = UT+ST
US = 19+ST
Now putting the value to the condition 1
(19+ST)/39 = ST/26
Simplifying
26(19+ST) = 39ST
494+26ST = 39ST
Subtract 26TS on both side, we get
13ST = 494
Divide by 13 on both side, we get;
ST = 38
Hence, the value of ST is 38.
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What is the value of X
Answer:
x = 2
Step-by-step explanation:
Let's find our third angle:
60 + 60 + A = 180
A = 60
Because all of our angles are the same, the triangle must be equilateral, meaning all of the sides are the same length as well!
(Pick any two sides):
2x + 3 = 4x - 5
(add 5 to both sides):
2x + 8 = 4x
(Subtract 2x from both sides):
2x = 4
(divide both sides by two):
x = 2!
Alpha Industries is considering a project with an initial cost of $8.2 million. The project will produce cash inflows of $1.93 million
per year for 6 years. The project has the same risk as the firm. The firm has a pretax cost of debt of 5.67 percent and a cost of
equity of 11.31 percent. The debt-equity ratio is .62 and the tax rate is 24 percent. What is the net present value of the project?
O $553,990
O $498.591
O $576,150
O $474,849
O $418.860
The net present value of the project is $347,941.73.
What are the key points for solving this problem?Get the Weighted Average Cost of Capital first (WACC). WACC is the minimal return a project must provide in order to be approved. Thus, it is employed to discount a project's projected cash flows to its present value.
WACC = Ke × E/V + Kd × D/V.
where,
Ke is cost of equity
= 11.31%
E/V is Market Weight of Equity
= (1/1.62 × 100)
= 61.73%
Kd is After tax cost of debt
= 5.67% × ( 1 - 0.21)
= 4.48 %
D/V = Market Weight of Debt
= 0.65/1.65 × 100
= 39.40%
∴ WACC = 11.31% × 0.6773 + 4.48 % × 0.3940
= 9.43 %
Next, calculate the project's net present value using the formula,
i/yr = 9.43 %
$347,941.73.
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100 POINTS PLEASE HELP Supply curves shift to the left when a product is more expensive to create. All of the following are examples of scenarios that would cause this EXCEPT:
A. higher materials cost
B. higher minimum wage for employees
C. higher demand from customers
Answer:
C. Higher Demand from customers
Step-by-step explanation:
Higher Materials cost leads to higher production cost
Higher minimum wage leads to higher production cost
The demand for the final product does not increase the production cost of the products
Answer: C. Higher Demand from customers
Step-by-step explanation: