Answer:
80cm^2
Step-by-step explanation:
20*5=100
10*2=20
100-20=80
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $23 monthly fee and charges an additional $0.11 for each minute of calls. The second plan has no monthly fee but charges $0.15 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
Answer:
575 minutes
Step-by-step explanation:
this is a systems of equations problem
2 plans, 2 equations
Scenario 1:
$23 is a mandatory fee, 11 cents per minute
x=23+0.11m (x= total cost, m= minutes called)
Scenario 2:
There is no mandatory fee, but there is a higer 15 cents per minute
x=0.15m (y=total cost, m=minutes called)
Set them equal to each other because you want to know when they become equal
23+0.11m=0.15m
23=0.04m
m=575
Answer:
Plan 1: 65 minutes, Plan 2: 201 minutes
Step-by-step explanation:
Not sure if this is the answer that you need but here is the math that i did..
Plan 1: $23 + $0.11/min
$0.11 x 65 minutes will give you a total of $7.15 + the inital $23 = $30.15
Plan 2: $0 + $0.15/min
$0.15 × 201 minutes will give you a total of $30.15
I hope this helps!
In circle C, SQ = 10 cm.
Circle C is shown. Chords S Q and R P intersect at point C. Angle P C Q is 30 degrees.
Which statements about the circle are correct? Check all that apply.
Arc PQ is congruent to arc SR.
The measure of arc QR is 150°.
The circumference of circle C is 20π cm.
Arc PS measures about 13.1 cm.
Arc QS measures about 15.7 cm.
Answer:
its 1,2,4,5
Step-by-step explanation:
Answer:
A, B, D, E
Step-by-step explanation:
Arc PQ is congruent to arc SR. TRUE
The measure of arc QR is 150°. TRUE
The circumference of circle C is 20π cm. FALSE
Arc PS measures about 13.1 cm. TRUE
Arc QS measures about 15.7 cm. TRUE
Divide. Write your answer as a fraction in simplest form. − 10 2/7÷(−4 4/11)=
Answer:
33/14
Step-by-step explanation:
[tex] - 10 \frac{2}{7} + ( - 4 \frac{4}{11} )[/tex]
[tex] = - \frac{72}{7} \div - ( \frac{48}{11} )[/tex]
[tex] = \frac{72}{7} \times \frac{11}{48} [/tex]
[tex] = \frac{3}{7} \times \frac{11}{2} [/tex]
[tex] = \frac{33}{14} [/tex]
stan dreamcatcher
Trigonometric ratios
class 9
please answer my questions
Step-by-step explanation:
Hi there!
Please see the answer in the picture.
Hope it helps!
1. Approach
One is given a trigonometric equation with and one is asked to prove that it is true. Using the attached image, combined with the knowledge of trigonometry, one can evaluate each trigonometric function. Then one can simplify each ratio to solve. To yield the most accurate result, one has to each of the ratios in a fractional form, rather than simplifying it into a decimal form. Remember the right angle trigonometric ratios, these ratios describe the relationship between the sides and angles in a right triangle. Such ratios are as follows,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}\\\\csc(\theta)=\frac{hypotenuse}{opposite}\\\\sec(\theta)=\frac{hypotenuse}{adjacent}\\\\cot(\theta)=\frac{adjacent}{opposite}[/tex]
Please note that the terms (opposite) and (adjacent) are relative to the angle uses in the ratio, however the term (hypotenuse) refers to the side opposite the right angle, this side never changes its name. Use these ratios to evaluate the trigonometric functions. Then simplify to prove the identity.
2. Problem (9)
[tex]\frac{sin(60)+cos(30)}{1+sin(30)+cos(60)}=sin(60)[/tex]
As per the attached image, the following statements regarding the value of each ratio can be made:
[tex]sin(60)=\frac{\sqrt{3}}{2}\\\\cos(30)=\frac{\sqrt{3}}{2}\\\\sin(30)=\frac{1}{2}\\\\cos(60)=\frac{1}{2}[/tex]
Substitute,
[tex]\frac{sin(60)+cos(30)}{1+sin(30)+cos(60)}=sin(60)[/tex]
[tex]\frac{\frac{\sqrt{3}}{2}+\frac{\sqrt{3}}{2}}{1+\frac{1}{2}+\frac{1}{2}}=\frac{\sqrt{3}}{2}[/tex]
Simplify,
[tex]\frac{\frac{\sqrt{3}}{2}+\frac{\sqrt{3}}{2}}{1+\frac{1}{2}+\frac{1}{2}}=\frac{\sqrt{3}}{2}[/tex]
[tex]\frac{\frac{2\sqrt{3}}{2}}{1+\frac{1}{2}+\frac{1}{2}}=\frac{\sqrt{3}}{2}[/tex]
[tex]\frac{\frac{2\sqrt{3}}{2}}{1+1}=\frac{\sqrt{3}}{2}[/tex]
[tex]\frac{\sqrt{3}}{1+1}=\frac{\sqrt{3}}{2}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{\sqrt{3}}{2}[/tex]
Thus, this equation is true.
2. Problem (10)
Use a similar strategy to evaluate this equation,
[tex]\frac{1-cos(30)}{sin(30)}=\frac{1-cot(60)}{1+cot(60)}[/tex]
Use the attached image to evaluate the ratios.
[tex]cos(30)=\frac{\sqrt{3}}{2}\\\\sin(30)=\frac{1}{2}\\\\cot(60)=\frac{1}{\sqrt{3}}[/tex]
Substitute,
[tex]\frac{1-cos(30)}{sin(30)}=\frac{1-cot(60)}{1+cot(60)}[/tex]
[tex]\frac{1-\frac{\sqrt{3}}{2}}{\frac{1}{2}}=\frac{1-\frac{1}{\sqrt{3}}}{1+\frac{1}{\sqrt{3}}}[/tex]
Simplify,
[tex]\frac{1-\frac{\sqrt{3}}{2}}{\frac{1}{2}}=\frac{1-\frac{1}{\sqrt{3}}}{1+\frac{1}{\sqrt{3}}}[/tex]
[tex]\frac{\frac{2-\sqrt{3}}{2}}{\frac{1}{2}}=\frac{1-\frac{1}{\sqrt{3}}}{1+\frac{1}{\sqrt{3}}}[/tex]
[tex]\frac{\frac{2-\sqrt{3}}{2}}{\frac{1}{2}}=\frac{\frac{\sqrt{3}-1}{\sqrt{3}}}{1+\frac{1}{\sqrt{3}}}[/tex]
[tex]\frac{\frac{2-\sqrt{3}}{2}}{\frac{1}{2}}=\frac{\frac{\sqrt{3}-1}{\sqrt{3}}}{\frac{\sqrt{3}+1}{\sqrt{3}}}[/tex]
[tex]2-\sqrt{3}=\frac{\frac{\sqrt{3}-1}{\sqrt{3}}}{\frac{\sqrt{3}+1}{\sqrt{3}}}[/tex]
[tex]2-\sqrt{3}=\frac{\sqrt{3}-1}{\sqrt{3}}*\frac{\sqrt{3}}{\sqrt{3}+1}}[/tex]
[tex]2-\sqrt{3}=\frac{\sqrt{3}-1}{\sqrt{3}+1}[/tex]
Rationalize the denominator,
[tex]2-\sqrt{3}=\frac{\sqrt{3}-1}{\sqrt{3}+1}[/tex]
[tex]2-\sqrt{3}=\frac{\sqrt{3}-1}{\sqrt{3}+1}*\frac{\sqrt{3}-1}{\sqrt{3}-1}[/tex]
[tex]2-\sqrt{3}=\frac{(\sqrt{3}-1)^2}{3-1}[/tex]
[tex]2-\sqrt{3}=\frac{3-2\sqrt{3}+1}{2}[/tex]
[tex]2-\sqrt{3}=\frac{4-2\sqrt{3}}{2}[/tex]
[tex]2-\sqrt{3}=2-\sqrt{3}[/tex]
Therefore, this equation is also true.
hurry PLEASE i'm unsure of this
Answer:
Infinite solutions
Step-by-step explanation:
x + 4y = 7 --------------(I)
8y = 14 - 2x
⇒ 2x + 8y = 14 -----------(II)
[tex]\frac{a_{1}}{a_{2}}=\frac{1}{2}\\\\\frac{b_{1}}{b_{2}}=\frac{4}{8}=\frac{1}{2}\\\\\frac{c_{1}}{c_{2}}=\frac{7}{14}=\frac{1}{2}\\\\\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}=\frac{1}{2}[/tex]
So, infinite solutions
Answer:
G
Step-by-step explanation:
Given the 2 equations
x + 4y = 7 → (1)
8y = 14 - 2x → (2)
make x the subject of (1) by subtracting 4y from both sides
x = 7 - 4y
Substitute x = 7 - 4y into (2)
8y = 14 - 2(7 - 4y) ← distribute
8y = 14 - 14 + 8y
8y = 8y
Since both sides are equal this indicates the system has infinite solutions
Find the measure of the indicated angle to the nearest degree.
Answer:
37
Step-by-step explanation:
tan(theta)=perpendicular/base
tan(theta)=3/4
theta=arctan(3/4)=37
Answer:
37°
Step-by-step explanation:
for this question you have to use the tan ratio since the opposite of that angle has been given as 3 and the adjacent has also been given which is 4..I will represent the unknown angle using x so,
tan x=opposite/adjacent
tanx=3/4
tanx=0.75
x=tan inverse of 0.75
x=36.9 or 37°
I hope this helps
I will give brainlist
Answer:
54
Step-by-step explanation:
162 divided by 3 is 54
Answer:
54 words per minute
Step-by-step explanation:
in 3 minute Rachel types 162 words
so, in 1 minute Rachel types 162words÷ 3 minutes
= 54 words per minute
A sailboat has a large sail in the shape of a right triangle. The height of the sail measures 17 yards, and the width measures 8 yards
Answer:
68
Step-by-step explanation:
17x8 = 136
136/2 = 68
HELP ITS DUE IN THE MORNING AND ITS 3:57
Answer:
A " (1,-2)
B " (4,0)
C " (6,-3)
Step-by-step explanation:
Hope it helped.
° ° °
Find the first three terms of the sequence given by the following.
a
n = 25-3(n − 1), n= 1, 2, 3, ...
A. 28, 25, 22
B. 25, 22, 19
C. 25, 28, 31
D. 28, 31, 34
the answer is
A. 28, 25, 22
Below are the times (in days) it takes for a sample of 6 customers from Sarah's computer store to pay their invoices.
33, 16, 29, 41, 36, 37
Find the standard deviation of this sample of times. Round your answer to two decimal places.
=___
Answer:
8.80
Step-by-step explanation:
(S. D.)^2=summation(x-mean)^2/(n-1)
S. D.=sqrt(388/5)
S. D.=8.80
Complete the following sentence.
A radius is________
the diameter.
Answer:
1/2
Step-by-step explanation:
The radius is 1/2 of the diameter
a radius is 1/2 the diameter
A customer's stock value seems to be rising exponentially. The equation for the linearized regression line that models this situation is log(y) = 0 30x +0 296, where x represents number of weeks. Which of the following is the best approximation of the number of weeks that will pass before the value of the stock reaches $200?
A. 9.3
B. 12.1
C. 6.7
D. 4.8
Given:
The equation for the linearized regression line is:
[tex]\log y=0.30x+0.296[/tex]
where x represents number of weeks and y be the customer's stock.
To find:
The number of weeks that will pass before the value of the stock reaches $200.
Solution:
We have,
[tex]\log y=0.30x+0.296[/tex]
Substituting y=200, we get
[tex]\log (200)=0.30x+0.296[/tex]
[tex]2.301=0.30x+0.296[/tex]
[tex]2.301-0.296=0.30x[/tex]
[tex]2.005=0.30x[/tex]
Divide both sides by 0.30.
[tex]\dfrac{2.005}{0.30}=x[/tex]
[tex]6.6833333=x[/tex]
[tex]x\approx 6.7[/tex]
Therefore, the correct option is C.
The Hernandez family is evenly splitting 7 liters of gasoline between their 4 cars.
How many liters of gasoline should each car get?
(In fractions)
Answer:
Each car should get 1.7, 17/10 or 1 7/10
Step-by-step explanation:
Answer:
[tex]1\frac{3}{4} \ liters[/tex]
Step-by-step explanation:
7 liters of gasoline is shared between 4 cars. So 7÷ 4
[tex]\frac{7}{4}=1\frac{3}{4} \ liters[/tex]
Given: j(x) = x2 - 2x + 1
Which set of values represents the range of the function for the domain {0, 1, 5}?
Answer:
{1, 0, 16}
Step-by-step explanation:
given..
j(x) = x^2-2x+1
put all given values of domain (1,0 and 5 ) in the equation..
the values you get are range of the function
Answer: 1
Step-by-step explanation
0(2)-2(0)+1=0+0+1= 1
1(1)-(2)(1)+1=1-2+1= 1
(5)(2)-(2)(5)+1=10-10+1= 1
Mrs brown designed a rug if it cost $22 per square foot to make how much will Mrs brown pay if the square feet is 31.25
Answer:
$687.5
Step-by-step explanation:
Cost of the rug per square foot = $22
Length of the rug = 31.25 feet
Total amount Mrs brown will pay = Cost of the rug per square foot × Length of the rug
= 31.25 × 22
= $687.5
Total amount Mrs brown will pay = $687.5
Convert the following equation into slope intercept form. -5x + y = 2 y = ?x + ?
Answer:
5, 2
Step-by-step explanation:
hope u got it.........
Answer:
y = 5x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
- 5x + y = 2 ( add 5x to both sides )
y = 5x + 2 ← in slope- intercept form
Please help me ASAP I’m stuck on these questions
Answer:
4, yes through the middle 5, yes through the middle 6, yes through the middle all of them reflect from the center
Step-by-step explanation:
2x²+3x²+3.(-1) =5x.x+5x .1
[tex]\\ \sf\longmapsto 2x^2+3x^2+3(-1)=5x.x+5x.1[/tex]
[tex]\\ \sf\longmapsto 5x^2-3=5x^2+5x[/tex]
[tex]\\ \sf\longmapsto 5x^2-5x^2-3=5x[/tex]
[tex]\\ \sf\longmapsto 5x=-3[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-3}{5}[/tex]
If the angles of a pentagon are x 2x 3x 4x 5x .Find the value of X
Mark Brainliest if correct:
x = 36
Step-by-step explanation:
x + 2x + 3x + 4x + 5x = 540 (Sum of interior angles in pentagon)
15x = 540
x = 36
Find the surface area of the triangular prism
Each day Jose spends 2/3 of an hour playing the piano and 1/4 of an hour practicing music theory. What is the total fraction of an hour that Jose spends playing the paino and practicing music theory each day?
Answer:
11/12
Step-by-step explanation:
2/3 + 1/4
Get a common denominator of 12
2/3 *4/4 + 1/4 *3/3
8/12 + 3/12
11/12
Can all polynomials be factored the same way? Why or why not?
Answer:
No, they cannot. Some polynomials are different than others and can be factored in different ways. Some can't even be factored at all.
Perfect Square Trinomials have a pattern with factoring and can be written as one binomial squared.
Difference of Squares has a pattern of (x - y)(x + y).
Difference/Sum of Cubes have formulas for their patterns.
Prime Polynomials simply cannot be factored.
Step-by-step explanation:
Brainliest, please! (Almost an Ace)
I don't get it- can someone explain
Answer:
11 4-passenger cars
Step-by-step explanation:
let 'x' represent the number of 4-passenger cars,then 'x-3' represent the number of 6-passenger cars.
92=4x+6(x-3)
92=4x+6x-18
92=10x-18
92+18=10x
110=10x
x=110/10
x=11
Therefore there are 11 4-passenger cars
Si Juana tiene dos perros y lo simbolizamos y 2p y le regalan un hato y lo simbolizamos por g como se representa en el leguaje algebraico.
A) 3P
B) 3G
C) 2PTG
D) 2P-G
I need help please help me
Answer:
I found x for you, right there.
Answer: x is 12 and y is 5
Step-by-step explanation:
Is the following number rational or irrational?
-117
Choose 1 answer:
Rational
Irrational
Answer:
-117 is irrational number
Answer:
Irrational
Step-by-step explanation:
Irrational number can't be written as a faction, -11pie can't be written as a fraction. Therefore it is a irrational number.
u4gent help needed
help me with the question of o.math
Answer:
1≤f(x)≤5
Step-by-step explanation:
-1≤x≤1
-2≤2x≤2 (Multiplied by 2 both side)
-2+3≤2x+3≤2+3 (Adding three both sides)
1≤f(x)≤5
This polygon is a Quadrilateral (4 sided
2
figure). Based on the interior angle sum,
find the value of x.
80 degrees
to
60 degrees
xº
to
O 100 degrees
O 110 degrees
Answer:
Step-by-step explanation:
3x° + 60° = 360°
3x = 360 - 60
3x = 300
x° = 100°
Add.
(3x2 – 2x) + (4x-3)
O A. 7x2- 5x
O B. 12x3 - 14x2 + 6x
O C. 3x2 - 6x + 3
O D. 3x2 + 2x-3
Answer:
O D. 3x2 + 2x-3
Answer:
A.7x2-5x questions 2of 20
