Answers
Related Questions
Satellite dishes are shaped like parabolas to optimally revive signals. The cross section of a satellite dish can be modeled by the function y= 1/8(x^2-4) where x and y are measured in feet. The x-axis represents the top of the opening dish.
Write a quadratic function that models the cross section of the satellite dish that is 6 feet wide and 1.5 deep.
Answers
The cross section of the satellite dish is an illustration of a quadratic function
The quadratic function that models the cross-section is y = 1/6(x^2 - 9)
How to determie the equation of the cross-section?The given parameters are:
Width = 6 feet
Depth = 1.5 feet
Express the width the sum of two equal numbers
Width = 3 + 3
The above means that, the equation of the cross section passes through the x-axis at:
x = -3 and 3
So, we have:
y = a(x - 3) * (x + 3)
Express as the difference of two squares
y = a(x^2 - 9)
The depth is 1.5.
This is represented as: (x,y) =(0,-1.5)
So, we have:
-1.5 = a(0^2 - 9)
Evaluate the exponent
-1.5 = -9a
Divide both sides by -9
a = 1/6
Substitute 1/6 for a in y = a(x^2 - 9)
y = 1/6(x^2 - 9)
Hence, the quadratic function that models the cross-section is y = 1/6(x^2 - 9)
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Question: The lengths of the diagonals of a rhombus are 5 inches and 8 inches. What are the interior angle measures of the rhombus?
How you must answer:
- Sketch - draw the sketch:
- Known:
-Unknown:
-Rationale:
-Exquation and expression:
Steps:
- Include a sketch
-State the Known
-State the Unkown and represent with a variable
-Provide a rationale
-Include the equation, exact answer, and decimal approximation
Answers
Answer:
The interior angles are approximately 64.02 degrees and approximately 115.98 degrees
The drawing is below.
==========================================================
Explanation:
A rhombus always has perpendicular diagonals. The two diagonals form four identical (aka congruent) right triangles as the figure shows below.
Notice how I've marked x and y as the unknown acute angle measures. Also, the two diagonals divide each other in half. The 8 splits into 4+4 and the 5 splits into 2.5+2.5
----------------------
Focus on one of the right triangles (they're all identical so it doesn't matter which you go for). We can use the tangent ratio to help determine the value of x.
[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{x}) = \frac{2.5}{4}\\\\\tan(\text{x}) = 0.625\\\\\text{x} = \tan^{-1}(0.625)\\\\\text{x} \approx 32.005383^{\circ}\\\\\text{x} \approx 32.01^{\circ}\\\\[/tex]
Angle x is roughly 32.01 degrees.
Make sure your calculator is in degree mode.
---------------------
Similar steps can be done to find the value of y.
[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{y}) = \frac{4}{2.5}\\\\\tan(\text{y}) = 1.6\\\\\text{y} = \tan^{-1}(1.6)\\\\\text{y} \approx 57.994617^{\circ}\\\\\text{y} \approx 57.99^{\circ}\\\\[/tex]
Or you could use the value of x to compute y like this
x+y = 90
y = 90 - x
y = 90 - 32.005383
y = 57.994617
y = 57.99
---------------------
Once we figure out x and y, it's simply a matter of doubling those values to get the interior angles of the rhombus. This is because we have the x angles next to each other to form two of the interior angles. So we have x+x = 2x = 2*32.01 = 64.02 degrees as one interior angle of the rhombus. The value is approximate.
The other interior angle is roughly y+y = 2y = 2*57.99 = 115.98 degrees
Notice how 2x+2y = 64.02+115.98 = 180
For any rhombus, the adjacent angles are supplementary (they add to 180 degrees).
An unknown number is not equal to 3.6 but rounds to 3.6 when rounded to the nearest tenth. what does the unknown number round to when rounded to the nearest whole?
Answers
The answer would be 4
Question
Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There are 13 red beads, 13 blue beads, 13 green beads, and 13 black beads.
What is the theoretical probability of selecting a blue bead? Write the probability as a fraction in simplest form.
Enter the correct answer in the boxes.
Answers
Answer:
1/4
Step-by-step explanation:
This question is asking for the probability of just picking a blue bead
It does NOT say anything about picking a smooth or rough!
This means you don't have to worry about it being smooth or rough (it is just extra information to throw you off)
So to find just picking one blue bead, you want to have the amount of blue beads divided by the total amount of beads
the amount of blue beads is 13
and the total is 52
So:
13/52 is your probability, but you want to simplify
Which comes out to
1/4
2 2/3 - 1 1/2 - 4/5
what does it equal
Answers
Answer:
11/30
Step-by-step explanation:
Do you need an explanation?
1. During which of the following situations would the government most likely have a
contractionary fiscal policy?
A. when the volume of net exports is unusually low
B. when the economy is in a trough of the business cycle
C. when the inflation rate is negative
D. when the level of economic output is running unusually high
E. when the unemployment rate is running unusually high
2. During a recession, unemployment will ________, tax revenue collected by the
government will ________, and spending by the government will ________.
A. decrease; decrease; decrease
B. increase; increase; decrease
C. decrease; decrease; increase
D. increase; decrease; increase
E. decrease; increase; decrease
3. According to the new classical critique of fiscal policy, why do consumers increase their
savings in response to government spending?
A. They shift their consumption toward more expensive goods, which must be saved up
for.
B. Government spending incentivizes firms to lower prices, which means consumers
spend less.
C. Government spending drives interest rates up and so makes saving more profitable.
D. When workers’ earnings increase, they are able to save a greater percentage of their
total earnings.
E. They believe they will eventually need the saved money when they have to pay
higher taxes.
Answers
A situation when the government most likely have a contractionary fiscal policy is D. when the level of economic output is running unusually high.
What is contractionary fiscal policy?Contractionary fiscal policy is when the government collects more money than it spends. This is usually done by increasing taxes and reducing government expenditure.
During a recession, unemployment will increase tax revenue collected by the government will decrease, and spending by the government will increase.
According to the new classical critique of fiscal policy, consumers increase their savings in response to government spending because they believe they will eventually need the saved money when they have to pay higher taxes.
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find the total surface area of this triangular prism
answer quick
Answers
Answer:
716
Step-by-step explanation:
Triangle = bh / 2
24 x 14 = 336, you should divide by 2 but there is 2 of them (front and back) so cancels out. 10 x 24 is 240 and cancels for same reason. 336 + 240 = 576. 14 x 10 = 140 and 576 + 140 = 716
Answer:
976 cm^2
Step-by-step explanation:
area of triangle is 1/2 times base times height
notice we have two triangles
so 14 * 24 * 0.5 is 168
168 times 2 is 336
now we have a rectangle on the bottom so its area is base times height
14 times 10 is 140
and now we have two rectangles on either side
25 times 10 is 250
250 times 2 is 500
500+140+336
976 cm^2
From the coordinate 8,12 to 10 and 15 what was the scale factor
Answers
Answer:
Scale factor is 5/4
Step-by-step explanation:
To find scale factor make a fraction. New coordinates/old coordinates
Make the fractions and reduce.
10/8 and 15/12
5/4 and 5/4
The scale factor is 5/4
1/(√2+√3)-√4 pls explain i dont understand
Answers
Hey there!
1/(√2+√3)-√4
=−2−√2+√3
(Decimal: -1.682163)
i REALLy WanT sOme HeLp
Jack brought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese pizza and 2 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50.
What is the cost of this one slice of mushroom pizza?
O $1.50
O $3.00
O $3.50
O $2.00
Answers
Answer:
$4.25
Step-by-step explanation:
Simple, 12.50 divided by four is 4.25. Meaning the answer is $4.25.
3. What is the slope of a line that passes
through (0,-5) and (8,27)?
Answers
Answer:
4.
Step-by-step explanation:
Slope = difference in y coordinates / difference in the corresponding x coordinates
(27 - (-5)) / (8 - 0)
= 32 / 8
= 4.
Answer: Well, The entered points belong to an increasing, linear function.
Equation: y = 2.75x + 5.
You're key in this will be y=mx+b right?
Then you're M in y=mx+b is your slope. Therefore, if we take a look at our M in the slope we got,.....y = 2.75x + 5......it's-
2.75.
So you're slope is y= 2.75x
I'm not that great at explaining but yeah, i tried lolz :3
Solve for s.
s ÷ 15 = 0.88
Answers
Multiply both sides by 15.
s = 0.88 * 15 = 13.2 (use calculator)
Answer:
13.2
Step-by-step explanation:
just multipply 15 by 0.88 to get 13.2
Can I have help on this?
Answers
Answer:
25°
Step-by-step explanation:
51+x+14=90°
x+65=90°
x=90-65
x=25°
Answer: 25°
Step-by-step explanation:
51+x+14=90°
x+65=90°
x=90-65
x=25°
[tex]\left \{ {{x+4y=2} \atop {2x+5y=7}} \right.[/tex]
Answers
A flower-delivery service charges $39.95 per flower arrangement and $2.99 for delivery. The total cost y is represented by the function y=39.95x+2.99 , where x is the number of flower arrangements.
Which of the following sets of numbers would be appropriate input values for the given situation? Select all that apply.
A) Integer
B) Only Zero
C) Whole Number
D) Rational Number
E) Positive Integer
F) Negative Number
Answers
Answer:
D
Step-by-step explanation:
Out of those choices, only a rational number is going to work. There are too many decimals in the given equation to give an integer, zero, a whole number or a minus number.
D
PLEASE HELP ASAP!!
A population of zombies in Happy Town, USA doubles every week. The number of zombies in Happy Town is currently 75. How many more zombies will there be after an additional 4 weeks? (no commas just numbers)
Answers
Answer:
1200
Step-by-step explanation:
since the first week has 75 doubling it is 150 doubling that is 300 doubling that is 600 doubling that for the final week is 1200.
1200 more zombies will there be after an additional 4 weeks.
What is Sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. It has members (also known as elements or phrases), just like a set. The length of the series is the number of elements (potentially infinite).
At initial the zombies are= 75
Now, the zombies doubles at every week.
So, After 1 st week the population of zombies are
= 75 x 2
= 150
Then, After 2 nd week the population of zombies are
= 150 x 2
= 300
Then, After 3 rd week the population of zombies are
= 300 x 2
= 600
Then, After 4th week the population of zombies are
= 300 x 2
= 1200
Learn more about Sequence here:
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SYSTEM OF EQUATIONS- I struggle with this
Person A wants to order a bunch of shirts. One website charges 9.65 per shirt, plus a set up fee for $43. Another company charges 8.40 per shirt plus a $58 fee. But what number of shirts would the cost be the same? Why?
Answers
Answer:
12 shirts
Step-by-step explanation:
First, we need to write our equations. Let x be the number of shirts and y be the cost. We will multiply the number of shirts bought (x) by the price and then add the setup fee.
To answer the overall question, we will graph the two equations we create. Their point of intersection is the solution, or where the number of shirts bought would cost the same.
"One website" - 9.65 per shirt, plus a set up fee for $43
y = 9.65x + $43
"Another company" - 8.40 per shirt plus a $58 fee
y = 8.4x + $58
See attached for the graph.
They intersect at point (12, 158.8) meaning that both websites will charge $158.80 for 12 shirts.
what is thecentre and diameter of the circle with equation
[tex]x {2} + {y2} - 2y + 1 = 16[/tex]
Answers
Answer:
The exact value of sin 22.5° using the half-angle formula is √(2 - √2) / 2 or 0.38
Step-by-step explanation:
Let us consider θ = 22.5 º
Therefore, sin2θ = [(1− cos 2θ) / 2] -------(1)
If θ = 22.5° then 2θ is 45°.
On substituting the value of θ in equation (1), we get
sin2 22.5° = [(1− cos (2 × 22.5°)) / 2]
sin2 22.5° = [(1− cos 45°) / 2]
sin2 22.5°= [ [1 - (1 / √2)] / 2 ]
sin2 22.5°= (2 - √2) / 4 [ on simplifying the above RHS value ]
sin 22.5° = [√(2 - √2) / 2]
After substituting the value of √2 as 1.414 in the above equation, we get
sin 22.5°= 0.38
The seventh-grade class is selling boxes of votive candles as a fundraiser. The first box purchased costs $14.00 , and each additional box costs $10.00 .
a. Is the relationship between the number of additional boxes of candles purchased and the total money spent linear?
Yes
Question 2
Explain your answer.
Answers
Answer:
b. C= 14+(10b)
c. C = 14+ ( 10 x 3) = 14+30 =44
Step-by-step explanation:
Hope this helps
Simplify: 18 - ⎷81 + 9 · 3⁴ - (3 - 2 + 9) ÷ 2
Answers
Answer:
733
Step-by-step explanation:
18 - √81 + 9 × 3⁴ - ( 3 - 2 + 9 ) ÷ 2
18 - 9 + 9 × 81 - ( 10 ) ÷ 2
(18 - 9) + (9 × 81) (-10 ÷ 2)
9 + 729 - 5
738 - 5
733
I hope this helps!
I need help I’m not sure what this answer is
Answers
The equivalent statement is "if m∠A = 60°, then Δ ABC is an equilateral triangle. (Option C).
What is an Equivalent Statement?Equivalent Statements refer to statements that when written differently, retain their logical equivalence. another way to know if a set of statements are equivalent is if they can be proven by one another.
An example of equivalent statement besides the one given already is:
A cat is an animal.
A pet is an animal you own.
Therefore owning a cat is the same as owning a pet.
Therefore:
If Jake owns a cat then he owns a pet.
If Jake doesn't own a pet then he doesn't own a cat.
Learn more about Equivalent Statement at:
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12 , − 7 , − 20 , − 9 , − 5 , 6 , 2 , − 12 , 15 , 16 State the median.
Answers
To find the median, we must order the numbers from least to greatest and find the middle number which will be the median.
List in order: -20, -12, -9, -7, -5, 2, 12, 15, 16
The number in the middle position is -5 <-- median
Hope that helps!
Solve this for me pls
Answers
Answer:don’t delete my comment I need more points lol
Step-by-step explanation:
Find the scale of the 2 known sides:
40/8 = 5
the larger shape is 5 times the size.
Multiply the known sides by 5:
X = 5 *5 = 25
x = 25
Write 0.5 repeating as a fraction
Answers
Answer: 5/9
Step-by-step explanation: I took a test on this ;)
**20 POINTS + BRAINLIEST** Please help me with the math question!
Answers
Answer:
1/6.2=15/x
Step-by-step explanation:
15:x=1:6.2
Answer:
D. [tex]\frac{1}{6.2} =\frac{15}{x}[/tex]
93 meters
Step-by-step explanation:
Howard has a scale model of the Statue of Liberty
The model is 15 inches tall.The scale of the model to the actual statue is 1 inch: 6.2 meters1 inch = 6.2 meters
15 inches = ? meters
[tex]\frac{1}{6.2} =\frac{15}{x}[/tex] <= cross multiply
1x = 93 <== divide both sides by 1
/1 /1
x = 93 meters <== the height of the model, our final answer
Hope this helps!
Un triángulo rectángulo ABC recto en B , en la region relativa al lado AB se ubica el punto P, tal que la m
Answers
this queation is tricky give me a sec
Step-by-step explanation:
How can I solve the equation?
Answers
Answer:
r = 15
The radius of the sphere is 15 feet.
Step-by-step explanation:
see image.
Use the formula for the volume of a sphere:
V = 4/3 • pi • r^3
Fill in the 4500pi that is given for the V.
4500pi = 4/3 • pi•r^3
Then solve for r.
see image.
Multiply by 3/4 to get rid of the 4/3.
Divide both sides by pi.
Then cube root to get rid of the third power on the r.
see image.
Don't forget units.
r = 15 feet
Hope this helps! Pls mark Brainliest! tysm!
A business man has 200 bags of maize flour each weighing 50000 grammes. Find the total weight of the bags in kilograms
Answers
Answer:
10,000 ★ soz if im wrong
Step-by-step explanation:
I hope the best
Answer:
10,000kg
Step-by-step explanation:
200 bags
1bag=50,000g
200bags=?
cross multipy
200bags x 50,000g
---------------------------
1bag
=10 000 000grams
1000g=1kg
10,000,000g
10,000,000/1000
=10,000kg
brainiest please
Family B lives in Boise, Idaho. Their total household monthly income is
$
4
,
675
.
Use the graph to calculate the central angle of each section for Family B. Then, complete the following table. Note: Express each angle measure as a number, rounded to the nearest tenth of a degree.
Family B
1. Housing
°
2. Food
°
3. Childcare
°
4. Transportation
°
5. Insurance
°
6. Other Needs
°
7. Taxes
°
Answers
The central angles of the monthly budget of family B are 7.2 degrees, 57.6 degrees, 57.6 degrees, 64.8 degrees, 46.8 degrees, 100.8 degrees and 25.2 degrees, respectively
How to determine the central angles?The central angles of each family is calculated using:
Angle = Percentage * 360
Using the data on the circle graph, we have:
Taxes = 2% * 360 = 7.2 degrees
Housing = 16% * 360 = 57.6 degrees
Food = 16% * 360 = 57.6 degrees
Childcare = 18% * 360 = 64.8 degrees
Transportation = 13% * 360 = 46.8 degrees
Insurance = 28% * 360 = 100.8 degrees
Other needs = 7% * 360 = 25.2 degrees
Read more about circle graphs at:
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The pattern follows the "add one dot to the top of each column and one dot to the right of each row" rule. What will the 10th term be?
Answers
Answer:
what are the answers for a b c and d