Answer:
9.5 in
Step-by-step explanation:
The receiver is placed at the focus of the parabola at a distance of 1/4a from the vertex. Here that would be 1/(4*(1/38)) or 38/4 inches or 9.5 in
The receiver lies 9.5 inches far from the vertex of the cross-section.
Given that,
The cross-section (with units in inches) of a parabolic satellite dish can be modeled by the equation y=1/38 x².
To determine how far is the receiver from the vertex of the cross-section.
A parabola is a cross-section cut out of the cone and represented by an equation, y =4ax².
Here,
The receiver is located near the parabola's focus, 1/4a away from the vertex. That would be 1/(4×(1/38)) or 38/4 inches or 9.5 in. in this case.
Thus, the receiver lies 9.5 inches far from the vertex of the cross-section.
Learn more about parabola here:
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Determine if the triangles are congruent. If so, write a congruence statement. Explain
your reasoning in a short paragraph proof.
Answer: Yes, there are congruent.
Step-by-step explanation: A triangle is congruent if the same shape and size. In this figure, they're congruent.
I hope this helps you!
what equation does this model show?
Answer:
14x-12=9x-25
Step-by-step explanation:
Since the balance is equaled, the equation would read to be 14x-12=9x-25.
Can anyone help me with this?
Answer: X= 3^-1
X= -0.75
Step-by-step explanation:
y−2x=4
3x−5y=15
The system of equations above is only true if x=-6 or x=-5 or x=5 or x=10 and y=-10 or y=-8 or y=-6 or y=3
Answer:
The answer is x=-5 and y= -8
Step-by-step explanation:
Keiko, Juan, and Tony have a total of $80 in their wallets. Keiko has $5 less than Tony. Juan has 3 times what Tony has. How much does each have?
Answer:
Keiko 12 + Juan 51 + Tony 17 = $80
Step-by-step explanation:
K + J + T = 80
K=T-5
J=3T
T=T
T-5 + 3T + T = 80
5T -5 = 80 --> 5T = 85 --> T = 17
now that u know T=17, substitute the value of T to find K and J
K=(17)-5 = $12
J=3(17) = $51
T= $17
i need help with these
Answer:
7+4=11
Step-by-step explanation:
12/3 equalls 4 because the 12÷3=4.
What is the slope of the line
Answer:
[tex]m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from the graph.
Point (2, 0)
Point (5, -1)
Step 2: Find slope m
Substitute: [tex]m=\frac{-1-0}{5-2}[/tex]Subtract: [tex]m=\frac{-1}{3}[/tex]And we have our answer!
need help pls help :(
Answer:
Neither
Step-by-step explanation:
function A is non linear
what is the solution set of the above question ?
Answer:
The solution set is { } or ∅ ⇒ empty set
Step-by-step explanation:
∵ 2x + 10 < 10
→ Subtract 10 from the two sides of the inequality
∵ 2x + 10 - 10 < 10 - 10
∴ 2x < 0
→ Divide both sides by 2
∴ [tex]\frac{2x}{2}[/tex] < [tex]\frac{0}{2}[/tex]
∴ x < 0
∴ The solutions are all the negative numbers
∵ x ∈ N
∵ N is the set of Natural numbers
→ The natural numbers start at 1 and include all positive whole numbers
∴ N = {1, 2, 3, 4, 5, ..............}
∵ N does not contain any negative numbers
∴ The solution set is an empty set ⇒ ∅
∴ The solution set is { } or ∅
Which of the following values are solutions to the inequality 4+2x\le 4?4+2x≤4?
\text{I.}\hspace{2px}0\hspace{20px}\text{II.}\hspace{2px}-4\hspace{20px}\text{III.}\hspace{2px}-3
I.0II.−4III.−3
Help me with math please
Answer:
B. 1/6
Step-by-step explanation:
what’s the area of this? i really need help....50 points if u help me :)
Answer:
Step-by-step explanation:
We can split this up into 3 shapes.
Using the attached image:
[tex]A = (5-2)*(3)\\A = 3*3 = 9\\\\B = \frac{1}{2}(7-3)(5-2)\\B = \frac{1}{2}(4)(3)\\B = 2*3 = 6\\\\C = 7 * 2 = 14\\\\A + B + C = 14 + 6 + 9 = 29[/tex]
A video game store adds a 25% markup on each of the games that it sells. In addition to the manufacturer's cost, the store also pays a $1.50 shipping charge on each game.
Answer:
[tex]y=1.25x+1.5[/tex]
Step-by-step explanation:
Step one:
given data
let the manufacturing cost of the video game be x
25% of x
=25/100*x
=0.25x
the new price of the video game will be
=0.25x+x
=$1.25x
cost of shipping is given as $1.5
let the total cost of producing a video game be y
The expression for the total cost of one video game is given as
[tex]y=1.25x+1.5[/tex]
Circle the ratio which is the same as 1 cm represents 2m
1:2
1:20
1:200
1:2000
Answer:
1 cm: 200 cm (if they don't give units) (most likely this answer) (1:200)
if the units are centimeter and meter though, then it's
1:2
Step-by-step explanation:
there are 100 cm in 1 meter, so 1cm:2m
is actually 1cm : 200cm
a function is a type of ____.
a. vertical line test
b. relation
c. range
d. domain
Answer:
relation
Step-by-step explanation:
i just took the test and got it wrong because of the other answer
Find the percent increase. Round to the nearest percent.
From 76 books to 131 books
The percent increase is _____%
Answer:
I think it's a 72.36% increase
Step-by-step explanation:
I'm not completely sure but that's what the calculator I used said..
Answer:
3
Step-by-step explanation:
Find the amount of change.
Amount of change = Greater Value − Lesser Value
= 131 − 127 Substitute values.
= 4 Subtract.
Find the percent increase. Round to the nearest percent.
Percent Change =
Amount of Change
Original Amount
=
4
131
Substitute values.
≈ 0.03 Divide and round to the nearest hundredth.
= 3% Write as a percent.
The percent decrease is 3%.
pls press the heart if this was helpful
Select all the comparisons that are correct.
Check all that are true.
0.5 inches > 0.60 inches
0.10 inches
0.1 inches
0.75 inches > 0.6 inches
0.9 inches < 0.85 inches
0.2 inches < 0.28 inches
Answer:
a b e i think
Step-by-step explanation:
Find the exact value of sin(x + y), given sin(x) = -1/2 , cos(y) = -1/3, x is an angle in quadrant III, and y is an angle in quadrant II.
StartFraction 2 minus StartRoot 5 EndRoot Over 6 EndFraction
StartFraction 1 minus 2 StartRoot 6 EndRoot Over 6 EndFraction
StartFraction 6 minus StartRoot 5 EndRoot Over 6 EndFraction
StartFraction StartRoot 3 EndRoot minus StartRoot 5 EndRoot Over 6 EndFraction
Given:
[tex]\sin (x)=-\dfrac{1}{2}[/tex]
[tex]\cos (y)=-\dfrac{1}{3}[/tex]
x is an angle in quadrant III, and y is an angle in quadrant II.
To find:
The value of sin(x+y).
Solution:
We know that, only sin and cosec are positive in II quadrant. Only tan and cot are positive in III quadrant.
x is an angle in quadrant III,
[tex]\cos x=-\sqrt{1-\sin^2 x}[/tex]
[tex]\cos x=-\sqrt{1-(-\dfrac{1}{2})^2}[/tex]
[tex]\cos x=-\sqrt{1-\dfrac{1}{4}}[/tex]
[tex]\cos x=-\sqrt{\dfrac{4-1}{4}}[/tex]
[tex]\cos x=-\dfrac{\sqrt{3}}{2}[/tex]
y is an angle in quadrant II.
[tex]\sin y=\sqrt{1-\cos^2x}[/tex]
[tex]\sin y=\sqrt{1-(-\dfrac{1}{3})^2}[/tex]
[tex]\sin y=\sqrt{1-\dfrac{1}{9}}[/tex]
[tex]\sin y=\sqrt{\dfrac{9-1}{9}}[/tex]
[tex]\sin y=\sqrt{\dfrac{8}{9}}[/tex]
[tex]\sin y=\dfrac{2\sqrt{2}}{3}[/tex]
Now,
[tex]\sin(x+y)=\sin x\cos y+\cos x\sin y[/tex]
[tex]\sin(x+y)=(-\dfrac{1}{2})\times (-\dfrac{1}{3})+(-\dfrac{\sqrt{3}}{2})\times (\dfrac{2\sqrt{2}}{3})[/tex]
[tex]\sin(x+y)=\dfrac{1}{6}-\dfrac{2\sqrt{6}}{6}[/tex]
[tex]\sin(x+y)=\dfrac{1-2\sqrt{6}}{6}[/tex]
Therefore, the correct option is B.
Answer:
Choice B
Step-by-step explanation:
The slope of the line that passes through the point (2,4) and (3,8)is
Answer:
4
Step-by-step explanation:
x1 = 2, y1 = 4
x2 = 3, y2 = 8
from, (y2-y1)/(x2-x1) = m
m = (8-4)/(3-2)
m = 4/1
m = 4
Therefore, the slope of the line is 4
Find the distance from point A(−14, 5) to the line −x+2y = 14.
Answer:
The distance from point A to given line is: 2√5 or 4.472 units
Step-by-step explanation:
Given equation of line is:
[tex]-x+2y= 14[/tex]
And the point is:
[tex]A = (x_1,y_1) = (-14,5)[/tex]
The standard form of equation of line is:
[tex]Ax+By+C = 0[/tex]
Converting the given equation into standard form
[tex]-x+2y-14=0[/tex]
The distance of a point (x1,y1) from a line is given by the formula:
[tex]d = \frac{|Ax_1+By_1+C}{\sqrt{A^2+B^2}}[/tex]
In the given details,
A = -1, B = 2, C = -14
x1 = -14, y1 = 5
Putting the values in the formula
[tex]d = \frac{|(-1)(-14)+(2)(5)-14|}{\sqrt{(-1)^2+(2)^2}}\\d = \frac{14+10-14}{\sqrt{1+4}}\\d = \frac{10}{\sqrt{5}}\\d = \frac{5*2}{\sqrt{5}}\\d = \frac{\sqrt{5}*\sqrt{5}*2}{\sqrt{5}}\\d = 2\sqrt{5}\\d = 4.472\ units[/tex]
Hence,
The distance from point A to given line is: 2√5 or 4.472 units
i was doing fine until i came to this question please help
i dont know what its asking
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
12 min to 20 min
12(x - 6) = 2(x - 9)
Answer:
Exact form: x = 27/5
Decimal form: x = 5.4
Mixed-number form: x = 5 2/5
Step-by-step explanation:
hope this helps :)
whats 14 4/10 - 13 1/3 ASAP
Answer:
1 1/15
Step-by-step explanation:
Answer:
16/15 or 1.06.. or 1 1/15
Step-by-step explanation:
:)
2. A plumber charges a $70 fee for a repair plus $30 per hour. Write an equation to model the
total cost y of a repair that takes x hours. What is the slope? What is the y-intercept?
(3 points)
Answer:
y = 70 + 30x
slope 30
y intercept 70
Step-by-step explanation:
5/7 divided by 1/7?? Plez help
Answer:5
Step-by-step explanation:When we divide two fractions, such as 5/7 ÷ 1/7, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.
7. 3042 = 55
A.77 B. 67 C. 39.29 D. 23
Answer:
A (77)
Step-by-step explanation:
What is the hypothesis of the following conditional statement? Conditional Statement: If a triangle has three congruent sides, then it is an equilateral triangle.
A.) The triangle has three sides.
B.) If it is an equilateral triangle, it has three congruent sides.
C.) It is an equilateral triangle.
D.) A triangle has three congruent sides.
Answer:
A triangle has three congruent sides
Step-by-step explanation:
100% .
A secant and a tangent meet at a 90° angle outside the circle. What must be the difference between the measures of the intercepted arcs?
45°
90°
180°
270°
Answer:
C) 180
Step-by-step explanation:
I hope this helps
Good luck ;)
The difference between the intercepted arc is 180°
What is an angle?An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.
Circle theorem states that if a tangent and a sectant, two tangent or two sectant meets outside a circle, the measure of the angle formed is half the difference between the intercepted arcs.
A secant and a tangent meet at a 90° angle outside the circle. Hence:
90° = (1/2) * difference between the intercepted arc
Difference between the intercepted arc = 180°
The difference between the intercepted arc is 180°
Find out more on angle at: https://brainly.com/question/25770607
What is the exchange rate for converting British pounds (GBP) to Australian dollars (AUD)? Answer and get 50 dollars on cashapp, FIRST COME FIRST SERVER
1 Pound is equal to 1.81 Australian Dollars
1 Pound sterling equals 1.81 Australian Dollar