9514 1404 393
Answer:
(1/120 mile/min)(60 min/h)(3 h)
1.5 mile
the increase in depth after 3 hours
Step-by-step explanation:
The rate is given in terms of miles per minute. To find the elevation after 3 hours, we need a conversion from minutes to hours. One possible product is ...
(1/120 mile/min)(60 min/h)(3 h)
The value of this product is ...
(1·60·3)/(120·1·1) mile = 1.5 mile
The value represents the increase in depth after 3 hours.
george is 6.25 feet tall needs to know the height of a tree that he is going to cut down. he notices that he casts a 10 foot tall shadow when the tree casts a 28 foot shadow.
Answer:
17.5 ft
Step-by-step explanation:
6.25/10 = x/28
x = 28(6.25/10)
x = 17.5 ft
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of the tree is 17.5 feet
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. It is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
Given that George casts a 10-foot tall shadow when the tree casts a 28-foot shadow. Also, George's height is 6.25 feet. Therefore, the tan angel can be written as,
tan(θ)= George's height/George's shadow = Tree's height/Tree's shadow
George's height/George's shadow = Tree's height/Tree's shadow
6.25 feet / 10 feet = Tree's height/28 feet
Tree's height = 17.5 feet
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what is the value of x in 1.5=x+0.25
Answer:
x = 1.25
Step-by-step explanation:
1.5 = X + 0.25
1.25 = x you subtract 0.25 from both sides
what is the value of expression 3/7 divide by 3/4
A 1/2
B 9/14
C 4/7
D 46/21 i have two mins left please help
Answer:
You're answer is 4/7
Step-by-step explanation:
I hope this helps!
Solve the equation.
Cosine (StartFraction x Over 2 EndFraction) = cosine x + 1)
What are the solutions on the interval 0° ≤ x < 360°?
Solutions: { , }
Answer:
The correct answers are 120°, 180°
An equation is formed of two equal expressions. The solutions for the interval 0° ≤ x < 360° are 120° and 180°.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
cos(x/2) = cos(x) + 1
cos(x/2) - cos(x) - 1 = 0
Let u=(x/2), therefore, the equation can be rewritten as,
cos(u) - cos(2u) - 1 = 0
cos(u) - 2cos²(u) + 1 - 1 = 0
cos(u) - 2cos²(u) = 0
-2cos²(u) = -cos(u)
2cos²(u) / cos(u) = 1
2 cos(u) = 1
cos(u) = 1/2
u = cos⁻¹ (1/2)
u = 60°
Since u=(x/2), therefore, the value of x is,
u=(x/2)
x = 120°
Hence, the solutions on the interval 0° ≤ x < 360° are 120° and 180°.
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Please help
What is the coefficient in the expression 10x + 8?
Answer:
2(5x+4)
2×5=10
2×4=8
so answer is 2(5x+4)
What is the term used for unscheduled full or partial payment of the principal amount
outstanding on a loan before its due date?
Answer:
This is called a prepayment
Please answer see the image
Answer:
9 yd²Step-by-step explanation:
surface area of a square pyramid
= Area of base + 1/2 base perimeter * slant height
= (1 x 1) + (1/2 x 4 x 4)
= 1 + 8
= 9 yd²
it's a yes or no need help
Answer:
no
Step-by-step explanation:
Helppp plzzzz N+5n=
Rudd Clothiers is a small company that manufactures tall-men’s suits. The company has used a standard cost accounting system. In May 2020, 10,500 suits were produced. The following standard and actual cost data applied to the month of May when normal capacity was 15,500 direct labor hours. All materials purchased were used.
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another triangle congruent question , it’s in the picture thanks :)
Answer:
I think it is either the first or second answer
Step-by-step explanation:
Is birth a qualitative or quantitative?
Birth year
Answer:
f we are talking about months of births its qualitative, if numbers such as 11, 10, 5, representing days or months or years is involved as data then it is quantitative.
Step-by-step explanation:
The sales tax for an item was $19.20 and it cost $320 before tax. find the sales tax rate. Write your answer as a percentage.
Answer:
6%
Step-by-step explanation:
19.20 = 320x (suppose x = tax rate)
Divide both sides by 320
x = .06 or 6%
x+y+(y-2)=60,1/2(x)(y-2)=120 what is x and y
Answer:
x = 62
y = 31
Step-by-step explanation:
x+(0)+(0-2)=60
x-2=60
x=62
(0)+y+(y-2)=60
y+y=62
y= 31
What is 5-4 in the quadratic
Answer:
1
Step-by-step explanation:
The point is located in the first quadrant because x and y are both positive. The quadrants are labeled in counter-clockwise order, starting in the upper-right.
Jacob performs the work shown to find tan Tangent 165 degrees. Tangent 165 degrees = negative StartRoot StartFraction 1 + cosine 330 degrees Over 1 minus cosine 330 degrees EndFraction EndRoot = negative StartRoot StartStartFraction 1 + (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) OverOver 1 minus (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) EndEndFraction = negative StartRoot StartStartFraction 2 + StartRoot 3 EndRoot Over 2 EndFraction OverOver StartFraction 2 minus StartRoot 3 EndRoot Over 2 EndFraction EndEndFraction EndRoot Equals negative StartRoot StartFraction 2 + StartRoot 3 EndRoot Over 2 minus StartRoot 3 EndRoot EndFraction EndRoot. Equals negative StartStartRoot 7 + 4 StartRoot 3 EndRoot EndEndRoot. Observe Jacob’s work. Use the drop down box to complete the statement. The error in Jacob’s work is
Answer:
the cosine expressions are reversed
Step-by-step explanation:
edge 2020
EMERGENCY Linda’s adding padding to all the surface inside her attic for extra warmth in the winter she needs to find the approximate surface area of the attic including walls floors and ceilings the attic is in the shape of a triangular prism Linda draws the net and writes the expression below to represent the surface area of the attic Are Linda’s net and expression correct?
Answer:
4350
Step-by-step explanation:
Linda's net and first term of the expression is correct and the surface area of the attic is 4425 square feet.
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Given the attic of Linda's home.
Attic is in the shape of triangular prism.
The net that Linda drawn is correct since she expresses all the measurements right in the net.
So, the net Linda drew is correct.
We can find the surface area from the net of the prism.
Net of the prism consists of 2 identical triangles, 2 identical rectangles and a rectangle.
Area of triangle is [tex]\frac{1}{2}[/tex] × base × height and that of rectangle = length × width
Area of 2 triangles = 2 × [tex]\frac{1}{2}[/tex] × 25 × 15 = 25 × 15
Area of rectangles = (45 × 40) + (45 × 25) + (45 × 25)
= 45(40 + 25 + 25)
Total surface area = 45(40 + 25 + 25) + (25 × 15)
The first term of Linda's expression, 45(40 + 25 + 25) is correct.
The second term of Linda's expression, ([tex]\frac{1}{2}[/tex] × 25 × 15) is not correct.
Surface area of the attic = 45(40 + 25 + 25) + (25 × 15)
= 4425 square feet
Hence the surface area of the attic is 4425 square feet.
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The complete question is given below.
Selena is 6 years younger than pual. in 15 years, pual will be 4 times the age Selena is now. what are their present ages?
Answer:
13 & 7.
Hope this helps.
(-1,5) to (4,1). Round to nearest tenth
Answer:
6.40
Hope this helped somehow
f(x)=x^2+12x+35, solve f(x)>0
Step-by-step explanation:
Solve the eq f(x) =0x^2+5x+7x+35=0
x*x+5x+7x+5*7=0
x(x+5)+7(x+5)=0
(x+7)*(x+5)=0
x=-7 or x=-5
Now solve f(x) >0So the function is positive (>0) when
x<-7 and when x>-5
Use the figure below to answer the question below.
A. If each square represent one square unit, estimate the area of the shaded figure in square units.
B. Estimate percent of the larger square that is shaded.
Answer:
Step-by-step explanation:
first we need to get the side length of a square.
Area of a square A = L²
1 = L²
L = √1
L = 1 unit
The shaded portion is a circle.
Area of a circle = πd²/4
The diameter of the circle = 4L = 4(1) = 4units
Substitute into the formula;
A =πd²/4
A = π(4)²/4
A = 4(3.14)
A = 12.56inits²
B) The area of the whole shape = Length * width
Length = 6
Width = 6 (6 squares)
Area of the shape = 6*66 = 36units²
Percentage of the area shaded = 21.56/36 * 100
Percentage of the area shaded = 2156/36
Percentage of the area shaded = 59.9%
What is 5/1/4 converted to a decimal ?
Answer:
it is 5.25
Step-by-step explanation:
ignore this i just need more letters XD
Answer : 5.25
explanation : 1/4 automatically is 25 because it's 1/4 of 100. 5 stays the same. 5.25
Show that the numbers below are rational and write each as a fraction:
(a) 0.73652913
(b) 0.746746746746...
Answer:
a) The number is:
0.73652913
There are 8 digits after the decimal point, then we need to multiply and divide by: 100,000,000 (8 zeros at the right of the 1)
0.73652913 = 0.73652913*(100,000,000)/(100,000,000) = 73,652,913/100,000,000
So we wrote this as a fraction of two integers.
b) The number is:
0.746746...
Where the periodic part is 746.
the periodic part has 3 digits, then we can do:
0.746746...*1000 = 746.746746....
Now we can subtract the number itself to get:
746.746746... - 0.746746... = 746
And what we did is:
N*1000 - N = N*999
Then to transform the number into a quotient of integers, we can multiply and divide by 999.
0.746746... = 0.746746...*(999)/(999) = 746/999
That is a quotient of two integers, so 0.746746... is a rational number.
Solve the system:
x - y = 5
4x – 5 y =17
Answer:
8,3
Step-by-step explanation:
Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying gallons of fuel, the airplane weighs pounds. When carrying gallons of fuel, it weighs pounds. How much does the airplane weigh if it is carrying gallons of fuel?
Step-by-step explanation:
Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 15 gallons of fuel, the airplane weighs 2187 pounds. When carrying 35 gallons of fuel, it weighs 2303 pounds. How much does the airplane weigh if it is carrying 50 gallons of fuel?
----
You have two points relating fuel and weight.
(15,2187) and (35,2303)
------------
slope = (2303-2187)/(35-15) = 5.8
----
intercept = ?
2187 = 5.8*15 + b
b = 2100
-------
Equation:
f(x) = 5.8x + 2100
---
f(50) = 2390 lbs.
====================
Please help I dont understand this pls
9514 1404 393
Answer:
A, D, E
Step-by-step explanation:
When the graph of a relation is a straight line, the relation is said to be "linear." When the graph of the line goes through the origin (x, y) = (0, 0), then the relation is both "linear" and "proportional."
The "rate of change" of a line is the ratio of "rise" to "run". On a graph of a line, it is convenient to determine "rise" and "run" using points where the line crosses grid intersections. Of course, there is a crossing here at (0, 0). We notice another grid intersection crossing at the point corresponding to x=2 and y = -6. Then the "rise" (y-change) divided by the "run" (x-change) is ...
rate of change = rise/run = -6/2 = -3
__
The equation of a line representing a proportion is of the form ...
y = kx
for some constant k. That constant is the "rate of change" of the proportion. Here, we found that rate of change to be -3, so the equation of the line is ...
y = -3x
A parabolic arch sculpture is on top of a city bank. A model of the arch is y = −0.005x2 + 0.3x where x and y are in feet.
The image is of a rectangle which represents the building of a Bank and its height is 30 feet. On top of it a semi circle is placed whose diameter is equal to the width of the rectangle.
a. What is the distance from the highest point of the arch to the ground?
b. What is the width of the bank?
A. a. 34.5 feet
b. 60 feet
B. a. 4.5 feet
b. 60 feet
C. a. 4.5 feet
b. 30 feet
D. a. 34.5 feet
b. 30 feet
Answer:
A. a. 34.5 feet
b. 60 feet
Step-by-step explanation:
Parabola equation
[tex]y=-0.005x^2+0.3x[/tex]
Differentiating with respect to x we get
[tex]\dfrac{dy}{dx}=-0.01x+0.3[/tex]
Equating with zero
[tex]-0.01x+0.3=0\\\Rightarrow -0.01x=-0.3\\\Rightarrow x=\dfrac{0.3}{0.01}\\\Rightarrow x=30[/tex]
Double derivative of the parabolic equation
[tex]\dfrac{d^2y}{dx^2}=-0.01<0[/tex]
So, [tex]x=30[/tex] is maximum.
[tex]y=-0.005\times 30^2+0.3\times 30\\\Rightarrow y=4.5[/tex]
So, the maximum height of the arch will be 4.5 feet.
From the ground the highest point of the arch will be [tex]30+4.5=34.5\ \text{ft}[/tex]
We are taking the x axis as the width of the bank.
[tex]0=-0.005x^2+0.3x\\\Rightarrow 0.005x^2=0.3x\\\Rightarrow x=\dfrac{0.3}{0.005}\\\Rightarrow x=60[/tex]
So, the width of the bank will be 60 feet.
What is the slope of the line through the points (2, 8) and (5, 7)?
3
- 1/3
-3
1/3
Answer:
Option B
Step-by-step explanation:
In order to find the answer to this question you need to use the slope formula and solve by subtracting the numerator and the denominator.
[tex]slope=\frac{y^2-y1}{x^2-x^1}[/tex]
[tex]x^1,x^2=(2,5)[/tex]
[tex]y^2,y^1=(8,7)[/tex]
Substitute:
[tex]\frac{8-7}{2-5}[/tex]
Subtract:
[tex]8-7=1[/tex]
[tex]2-5=-3[/tex]
[tex]=\frac{-1}{3}[/tex]
Hope this helps.
Shown here is a mathematical step taken when solving an equation. Identify the mathematical reason or property used to simplify from the first step to the second step. 7(A+13). 7A+91
HELP PLS!!
What is the measure, in degrees, of angle YXZ??
Answer:
20 degrees
Step-by-step explanation:
If ZWV = 115 then ZYX = 115.
115 + 45 = 160, 180 - 160 = 20