Answer:
C) 60
Step-by-step explanation:
For computing the difference between the time taken in minutes by Noel and Tyra first we have to compute individually which are as follows
For Noel, the time taken required
\(= Time\ required \times number\ of\ days\)
\(= 90\ minutes \times 6\ days\)
= 540 minutes
For Tyra, the time taken required
\(= Time\ required \times number\ of\ days\)
\(= 60\ minutes \times 8\ days\)
= 480 minutes
So the difference is
= 540 minutes - 480 minutes
= 60 minutes
Hence, the third option is correct
Questions 9-10, deal with the ambiguous SSA case. For each, find all possible solutions and sketch the
triangle(s) in each case. (3 points each)
9: A=50, a=10, b=15
10: A=47, a=1.6, b=2
The possible solutions for (10) are B = 66, C = 67 and c = 2.01
How to determine the possible solutionsTriangle 9
Here, we have
A = 50, a=10, b = 15
The angle B can be calculated using the following laws of sines
sin(B)/b = sin(A)/a
So, we have
sin(B)/15 = sin(50)/10
sin(B) = 15 * sin(50)/10
So, we have
sin(B) = 1.1490
The sine of angles are always between 0 and 1
Hence, the triangle does not exist
Triangle 10
Here, we have
A=47, a=1.6, b=2
The angle B can be calculated using the following laws of sines
sin(B)/b = sin(A)/a
So, we have
sin(B)/2 = sin(47)/1.6
sin(B) = 2 * sin(47)/1.6
So, we have
sin(B) = 0.9142
B = 66
This means that
C = 180 - 66 - 47
C = 67
The length c is
c² = a² + b² - 2ab * cos(C)
So, we have
c² = 1.6² + 2² - 2 * 1.6 * 2 * cos(67 degrees)
c² = 4.06
Take the square roots
c = 2.01
See attachment for the triangles
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Rob and Mike are selling cookie dough
for a school fundraiser. Customers can
buy packages of white chocolate chip
cookie dough and packages of oatmeal
cookie dough. Rob sold 12 packages of
white chocolate chip cookie dough and
6 packages of oatmeal cookie dough for
a total of $192. Mike sold 6 packages of
white chocolate chip cookie dough and
12 packages of oatmeal cookie dough
for a total $222. What is the cost of one
package of white chocolate chip cookie
dough and one package of oatmeal
cookie dough?
The cost of one package of white chocolate chip cookie is $9 while the cost of one package of oatmeal cookie dough is $14.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the cost of white chocolate chip and y represent the cost of oatmeal dough, hence:
12x + 6y = 192 (1)
Also:
6x + 12y = 222 (2)
From both equations:
x = 9, y = 14
The cost of one package of white chocolate chip cookie is $9 while the cost of one package of oatmeal cookie dough is $14.
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PLEASE HELP ASAP DUE TOMORROW
The area of the shaded part of the given figure is 60 square inches'
How to calculate the area of a composite shape.The given figure is made up of a rectangle and 2 similar triangles
Area of the shaded part = Area of rectangle + area of 2 triangles
From the figure
Area of rectangle = 12 * 4 = 48 square in
Area of one triangle = 0.5(6)(4) = 12 square in
Area of the figure = 48 + 12
Area of the figure = 60 square inches'
Hence the area of the shaded part is 60 square inches.
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Put y-7=3(x+4) in Standard Form
Answer:
3x-y=5
Step-by-step explanation:
standard form is 3x-y=5
estimate the original volume of the pyramid in fig 15.28 given that it's frustum has a 4 m by 4 m squared top which is 12 m vertically above the square base which is 20 m by 20 m (assume that the original problem was raised to a point . Neglect the volume of the entrance of the right of the photograph)
Answer:
Step-by-step explanation:
To estimate the original volume of the pyramid in Figure 15.28, we can use the formula for the volume of a frustum of a pyramid. The frustum is the portion of the pyramid between the top and bottom, created by removing the top section.
The formula for the volume of a frustum of a pyramid is:
V = (1/3) * h * (A + sqrt(A * B) + B)
Where:
V = Volume of the frustum
h = Height of the frustum (vertical distance between the top and bottom)
A = Area of the top base
B = Area of the bottom base
Given the dimensions provided, we can calculate the areas of the bases:
Area of the top base (A) = 4 m * 4 m = 16 m²
Area of the bottom base (B) = 20 m * 20 m = 400 m²
The height of the frustum (h) is given as 12 m.
Now we can plug these values into the formula:
V = (1/3) * 12 m * (16 m² + sqrt(16 m² * 400 m²) + 400 m²)
Calculating the square root and simplifying:
V = (1/3) * 12 m * (16 m² + 20 m² + 400 m²)
V = (1/3) * 12 m * (436 m²)
V = 1744 m³
Therefore, the estimated original volume of the pyramid in Figure 15.28 is approximately 1744 cubic meters.
Which two angles are adjacent?
∠AHD and ∠AHB
∠DHB and ∠BHF
∠AHD and ∠BHF
I don't know.
Imported Asset
Answer:
I think it is ∠DHB and ∠BHF
Step-by-step explanation:
Because they share a common side
Find the probability that a randomly selected point within the square falls in the red shaded square
The probability that a randomly selected point within the square falls in the red shaded square is 1/16
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.
Probability = sample space /total outcome
sample space is the area of the red shaded square and the total outcome is the big square.
Area of red shaded square = 1 × 1 = 1unit²
area of the big square = 4 × 4 = 16 units²
Therefore the probability that a point selected falls on the red shaded square
= 1/16
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Whats the area of this thing
Answer:
341 in sq
Step-by-step explanation:
When you are finding the area of trapezoids you have to do b1+b2/2 times height because there are two bases you have to include them both so adding 40 and 22 gives 62 and you have to divide that by 2 because the numbers will be too big and way off so 62/2 = 31 and you multiply that by the height to get 341 in sq. Hope it helps :P
Sienna has graphed the equation y - 3x = -2
on the coordinate plane below. Next, she will graph the
equation y = 3x 2 on the same coordinate plane.
Determine whet
y
A
Select True or Fals
6
The system of ed
4
2
The system of ec
Answer:
Step-by-step explanation:
I need your help please please
Answer:
Hope this helped
Step-by-step explanation:
False
False
True
True
True
Mia hired a moving company. The company charged $500 or its services, and Mia gives the movers a 16% tip.
Answer:
The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580
Step-by-step explanation:
What is y when x = 40?
about 120
about 150
about 190
about 210
Answer:
About 190
Step-by-step explanation:
Hope that helps!
Answer:
Step-by-step explanation:
I took the quiz :)
Help ME! solve for ∠K.
Answer:
45
Step-by-step explanation:
Every Triangle has 180 degrees.
x + 8x + 3x = 180
12x = 180
x = 180/12
x = 15
Angle K = 3x
K = 3 * 15
K = 45
Which ratio is larger, 6:9 or 5:6?
Answer:
5:6 is larger
Step-by-step explanation:
6:9 = 6/9 = 2/3 = 0.6666...
5:6 = 5/6 = 0.8333...
5:6 is larger
Answer:
5:6
Hope this helps! :)
Simplify the inequality
1/3 + 1/6 <= 1/x
Answer:
x ≤ 1/2
Step-by-step explanation:
PLS HELP ASAP
What is (f-g)(3})?
Answer:
442
Step-by-step explanation:
you can download g a u t h m a t h for questions like this, good luck :D
5(10v-8w+4) as a distributive property
Using distributive property, the solution to the given expression is: 50v - 40w + 20
How to use distributive property?The Distributive Property is a term which is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.
For example:
4(3 + 5)
According to the distributive property, you first have to multiply out the bracket to get:
4*3 + 4*5 = 12 + 20
= 32
Thus:
5(10v - 8w + 4) = (5 * 10v) - (5 * 8w) + (5 * 4)
= 50v - 40w + 20
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El Cheapo Car Rentals Charge $5 daily to rent a compact car plus a mileage of $0.34 per mile.
- Write the linear equation that relates to the cost C to the miles driven M
Jim was thinking of a number. Jim divides by 8, then adds 9 to get an answer of 6. What was the original number?
Answer:
120 is your answer
Step-by-step explanation:
reverse the equation so:
6+9= 15
15 x 8 = 120
Happy holiday and I hope you do well on your assignment or whatever
Levi completed the following steps to begin determining the distance for zip line 3 from the shore to the island of a lake . He marked point A with a stake directly across from point Ithen turned east and walked 300 ft to point where he placed another stake -- 500 feet from point I. He continued his task by climbing up to the zipline platform , point M and deciding that the zipline cable would be 100 feet directly above point A.. Finally , he turned south and walked to point D, from which point he could see he was perfectly in line with points and I by looking northwest .
We are given the following right triangle:
We are asked to determine segment AI. To do that we can apply the Pythagorean theorem which states:
\(AI^2+AB^2=IB^2\)Now we solve for AI, first by subtracting AB squared from both sides:
\(\begin{gathered} AI^2+AB^2-AB^2=IB^2-AB^2 \\ AI^2=IB^2-AB^2 \end{gathered}\)Now we take the square root to both sides:
\(AI=\sqrt[]{IB^2-AB^2}\)Now we replace the given values:
\(AI=\sqrt[]{(500ft)^2-(300ft)^2}\)Solving the operations:
\(AI=\sqrt[]{250000ft^2-90000ft^2}\)Solving the subtraction:
\(AI=\sqrt[]{160000ft^2}\)Solving the square root:
\(AI=400ft\)Therefore, the distance AI is 400 feet.
Now, we have the following triangle:
We can also use the Pythagorean theorem in this triangle:
\(MA^2+IA^2=MI^2\)To solve for the distance MI we will take the square root to both sides:
\(\sqrt{MA^2+IA^2}=MI\)Now we replace the values:
\(\sqrt[]{(100ft^{})^2+(400ft)^2}=MI\)Solving the operations we get:
\(\sqrt[]{170000ft^2}=MI\)Now we solve the square root:
\(412.3ft=MI\)Therefore, the distance MI is 412.3 feet.
Now we are asked to calculate the angle I. To do that we will use the trigonometric function tangent since this function is defined as:
\(\tan \theta=\frac{opposite}{adjacent}\)Replacing the values:
\(\tan \theta=\frac{100}{400}\)Simplifying:
\(\tan \theta=\frac{1}{4}\)Now we take the inverse function of tangent:
\(\theta=\arctan (\frac{1}{4})\)Solving the operation we get:
\(\theta=14\)Therefore the angle is 14 degrees. The angle at the launching point is angle M, since we have a right triangle this angle must be equal to:
\(\alpha=90-14=76\)Therefore, in compliance with regulations.
The figure is cut into 15 equal pieces. Shade 2/5 of the figure
Answer: Shade 6 pieces
Step-by-step explanation:
Because 2/5 of 15 is 6
In the figure, Line a is parallel to line b. Name the angles congruent to angle 3.
helppp it’s due today
Admission to the county fair costs $9 per person. The ride tickets cost $2.50 each.
Which equation represents the total cost, C, of visiting the fair where r represents the number of ride tickets bought?
Answer:$11.5
Step-by-step explanation:
Admission = $9 charged once
each ride = $2.5x (x=number of rides)
Total cost for x rides
=2.5x+9
three orders are placed at a pizza shop.
two small pizzas, a liter of soda, and a salad costs $14.
one small pizza, a liter of soda, and three salads costs $15.
three small pizzas, a liter of soda, and two salads costs $22.
how much does each item cost?
Given:
Two small pizzas, a liter of soda, and a salad costs $14.
One small pizza, a liter of soda, and three salads costs $15.
Three small pizzas, a liter of soda, and two salads costs $22.
To find:
The cost of each item.
Solution:
Let x be the cost of a small pizza.
y be the cost of a liter of soda
z be the cost of a salad.
According to the question, two small pizzas, a liter of soda, and a salad costs $14.
\(2x+y+z=14\) ...(i)
One small pizza, a liter of soda, and three salads costs $15.
\(x+y+3z=15\) ...(ii)
Three small pizzas, a liter of soda, and two salads costs $22.
\(3x+y+2z=22\) ...(iii)
From (i), we get
\(z=14-2x-y\) ...(iv)
Putting \(z=14-2x-y\) in (ii), we get
\(x+y+3(14-2x-y)=15\)
\(x+y+42-6x-3y=15\)
\(-5x-2y=15-42\)
\(-(5x+2y)=-27\)
\(5x+2y=27\) ...(v)
Putting \(z=14-2x-y\) in (iii), we get
\(3x+y+2(14-2x-y)=22\)
\(3x+y+28-4x-2y=22\)
\(-x-y=22-28\)
\(-(x+y)=-6\)
\(x+y=6\)
Multiply both sides by 2.
\(2x+2y=12\) ..(vi)
Subtracting (vi) from (v), we get
\(5x+2y-2x-2y=27-12\)
\(3x=15\)
\(x=5\)
Putting x=5 in (vi), we get
\(2(5)+2y=12\)
\(10+2y=12\)
\(2y=12-10\)
\(2y=2\)
\(y=1\)
Putting x=5 and y=1 in (iv), we get
\(z=14-2(5)-(1)\)
\(z=14-10-1\)
\(z=3\)
So, \(x=5,y=1,z=3\).
Therefore, the cost of a pizza is $5, cost of a liter of soda is $1 and cost of salad is $3.
8. Round 4.853 to the nearest thousandth
a)4.000
b)4.500
c)4.800
d)5.000
Answer:
A. Hope it helped brainiest plz and thank you have a great day!!
Step-by-step explanation:
It's A. because 4 is still below 5 which means it goes to whatever you round it to so in this case it's 1000 which would be a. because it stays in the nearest 1000 which is 4.000
The rule for rounding is 5 below will stay in the number you round which means it stays in the number it is 5 and up they will round to what you round it to.
Next, what equation should you use to find the number that is 5% of 60?
Answer:
60 divided by 5
Step-by-step explanation:
if the volume of a Sphere is 36 pie cm³. then find its radius
I will give brainliest
Answer: r = 3
Step-by-step explanation:
V=(4/3)πr^3 (this is the formula to identify a volume of the sphere. Since we know that V = 36π, add it into the following formula like so:
36π = (4/3)πr^3; from here we can cancel out the π
36 = (4/3)r^3; multiply both sides by 3/4
27 = r^3;
the final answer is r = 3.
Points A(9, 2), B(5,6), and C(-3,-2)
are given. The distance between
point C and the perpendicular
bisector of AB is:
The distance between point C and the perpendicular bisector of AB is 2√3.
Given points A(9, 2), B(5,6), and C(-3,-2).
We need to find the distance between point C and the perpendicular bisector of AB.
We first need to find the midpoint of line segment AB using the midpoint formula:
Midpoint of AB
= [(x1 + x2)/2, (y1 + y2)/2]
= [(9+5)/2, (2+6)/2]
= [(14/2), (8/2)]
= (7, 4)
Now, we need to find the slope of the line AB:
Slope of AB= (y2 - y1) / (x2 - x1)
= (6-2) / (5-9)
= 4/-4
= -1
So, the slope of the perpendicular bisector to AB is 1 (negative reciprocal of -1).
Now we need to find the equation of the perpendicular bisector of AB, which passes through (7, 4) with a slope of 1.
Using point-slope form of the line: y - y1 = m(x - x1)y - 4
= 1(x - 7)y - 4
= x - 7y
= x - 3
Now we have the equation of the perpendicular bisector of AB.
Now we can find the distance between C and the line by finding the length of the perpendicular from C to the line.
To do this, we need to find the equation of the line that is perpendicular to the line we found, which passes through point C, and then find the point where the two lines intersect.
This new line has a slope of -1, since it is perpendicular to the line with slope 1.
Using point-slope form of the line:
y - y1 = m(x - x1)y - (-2)
= -1(x - (-3))y + 2
= -x - 3y
= -x - 5
Now we have the equation of the new line.
Now we can find the point of intersection of the two lines:
y = x - 3y
= -x - 5
Adding the two equations:
2y = -8y
= -4
The point of intersection is (-4, -4).
Now we can find the distance between C and (-4, -4) using the distance formula:
Distance between C and (-4, -4) = √(x2 - x1)2 + (y2 - y1)2
= √((-3 - (-4))2 + (-2 - (-4))2)
= √(12)
= 2√3
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Which of the following statements must be true based on the diagram below?
Select all that apply. (Diagram is not to scale.)
UV is a segment Bisector.
What is a segment Bisector?A segment bisector is a line, ray, or segment that splits another line segment in half evenly at its center. The midpoint of the line segment is always bisected by the line, which divides it into two equally sized parts.
What is the bisector rule?The angle bisector theorem states that a triangle's opposite side is divided into two parts by an angle bisector that is proportional to the triangle's other two sides.
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Each side length of a triangle is 4 cm. What type of triangle is it?
☐ right
□acute
Equilateral
Isosceles
Answer: Equilateral
Step-by-step explanation:
It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.
Hope you understood.
(5x3)+(nx4)=5(3+4) write each missing number.
Answer:
5
Step-by-step explanation:
5 x 3 = 15
n x 4 = 4n
3 + 4 = 7
(5 x 3) + (n x 4) = 5(3 + 4)
15 + 4n = 5*7
15 + 4n = 35
4n = 35 - 15
4n = 20
n = 20/4
n = 5
Hence, the value of missing number (n) is 5.