5. Write an equivalent expression for (2x + 4)(x-5)
[tex]2x^{2} -10x +4x -20[/tex]
I'm not sure if you need to simplify
Which equation correctly uses the value of x to represent the cosine of angle A? cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction
Here is the full question:
Triangle ABC is a right-triangle and sin(53o) = StartFraction 4 Over x EndFraction. Solve for x & round to the nearest whole number.
Triangle A B C is shown. Angle A C B is a right angle and angle B A C is 53 degrees. The length of B C is 4 centimeters, the length of A C is y, and the length of hypotenuse A B is x.
Which equation correctly use the value of x to represents the cosine of angle A?
cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction
Answer:
cos(53°) = StartFraction y Over 5 EndFraction
Step-by-step explanation:
From the information above:
The sketch of the triangle is drawn and attached in the diagram below.
To find x using the sine rule,
We know that:
[tex]Sin \theta = \dfrac{opposite}{hypothenuse}[/tex]
∴
[tex]Sin (53^0) = \dfrac{4}{x}[/tex]
Making x the subject of the formula:
[tex]x = \dfrac{4}{Sin \ 53^0}[/tex]
[tex]x = \dfrac{4}{0.7986}[/tex]
[tex]x \simeq 5[/tex]
Now, the equation that correctly uses the value of x can be determined by finding the cosine of ∠ A.
Recall that:
[tex]Cos \theta = \dfrac{adjacent}{hypothenuse}[/tex]
[tex]Cos \ 53^0 = \dfrac{y}{x}[/tex]
where; x = 5
[tex]Cos \ 53^0 = \dfrac{y}{5}[/tex]
Thus, the equation that correctly uses the value of x to represent the cosine of angle A is:
cos(53°) = StartFraction y Over 5 EndFraction
Answer:
simple answer B
Step-by-step explanation:
I need help finding the circled ones
#12 is 17, #3 is 59, #8 is 28, #22 is 78, #32 is 90, #10 is 59, #21 is 26
please help me :(
Angharad sleeps for 8 hours each night, correct to the nearest 10 minutes.
The total time she sleeps in the month of November (30 nights) is T hours.
Between what limits does T lie?
Answer:
The limits between which T lies is 273 hours 30 mins < T < 242 hours 30 minutes
Step-by-step explanation:
The number of hours Angharad sleeps each night = 8 hours ± 10 minutes
The actual time Angharad sleeps each night = 8 hours ± 5 minutes
Which gives the maximum time Angharad sleeps = 8 hours 5 minutes = 485 minutes per night
The minimum time Angharad sleeps = 7 hours 55 minutes = 475 minutes
The number of days in the month of November = 30 nights
The maximum time in minutes Angharad sleeps in November, [tex]T_{max}[/tex] = 30 nights × 485 minutes/night = 14,550 minutes = 242.5 hours = 242 hours 30 minutes
The minimum time in minutes Angharad sleeps in November, [tex]T_{min}[/tex] = 30 nights × 475 minutes/night = 14,250 minutes = 237.5 hours = 237 hours 30 minutes
Therefore, we have, the limits between which T lies given as follows;
273.5 hours < T < 242.5 hours.
Answer:
235 ≤ T ≤ 245
Step-by-step explanation:
(8 hours per night x 30 nights) = 240 hours
The deviation from 8 hours per night is as much as 10 minutes per night.
Over 30 nights, the total deviation can be as much as (30 x 10 minutes) = 300 minutes = 5 hours.
So T can be as much as (240 + 5) = 245 hours, or as little as (240 - 5) = 235 hours.
In inequality form,
235 ≤ T ≤ 245
A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?
Answer:
A:y=3x-10
Step-by-step explanation: the rise and run is 6/2 and the y intercept is -10
The manager of a clothing store purchased 40 pairs of jeans for $500. She plans to sell each pair of jeans for $19.99. By what percent did she mark up the price?
A.
60%
B.
12.5%
C.
10%
D.
7.5%
Answer:
60%
Step-by-step explanation:
Formula: Markup Percentage = Selling Price Per Unit - Cost Price Per Unit over Cost price per unit. times 100
$19.99 - 12.5
------------------- times 100
12.5
Follow PEMDAS
7.49 / 12.5 = 0.5592 (100) = 59.92
Round to the nearest whole number. So about 60%
helpppppp plssssssss
Answer:
d
Step-by-step explanation:
I THINK
Charles charges 4 an our to baby sit he also adds an extra 10 dollars onto the total for families with more than 3 children. How much will charles charge to baby sit 4 children for 4 hourss
Answer:
i beleve 26 or 48
good luck
If x = 4 and y = -2, the value of 3 xy?
Answer:
-24
Step-by-step explanation:
Answer: -24
Step-by-step explanation:
3xy
3(4)(-2)
12(-2)
-24
What is 27 times 30 to the power of 2?(“real” question)
Answer:
24300
Step-by-step explanation:
first find the square for 30 * 30
then multiply!
Will give brainliest (Don't copy from the internet please)
You have gone out to eat with a couple of friends. One is your friend Jamal and the other is your friend Marek. At the end, you get the check, and you decide to split it in two parts. You will pay for yourself and Jamal, while Marek will pay for 1/3 of the total amount. You end up paying $16.00 for your part of the meal. Later, you can’t remember how much the total bill was, but you are sure you can figure it out.
1. Write a system of equations to represent this situation, and solve the system to find out how much the total cost of the meal was (including your part as well as Marek’s part). Show all of your work.
2. How much did Marek pay for his part of the meal? Again, show all of your work.
3. Was this a fair way to split up the check? What might be a more fair way to split up the check?
If three cards are drawn at random from a standard deck of 52 cards, what is the probability that they will all be queens?
Answer:
0.01809955% or about 0.018%
Step-by-step explanation:
You do the multiplication of 4/52 by 3/51 by 2/50
Introduction to nonlinear models
Complete the table below.
Answer:
The table will be:
x y = 2x² y = 2ˣ
0 0 1
1 2 2
2 8 4
Step-by-step explanation:
Given the non-linear equations
y = 2x²
y = 2ˣ
When x = 0y = 2x²
y = 2(0)² =0
y = 2ˣ
y = 2⁰ = 1
When x = 1y = 2x²
y = 2(1)² = 2
y = 2ˣ
y = 2¹ = 2
When x = 2y = 2x²
y = 2(2)² = 8
y = 2ˣ
y = 2² = 4
Thus, the table will be:
x y = 2x² y = 2ˣ
0 0 1
1 2 2
2 8 4
Please help!!!! Will give Brainliest!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
1. after 7 hours, you watch 1 movie
2. after 0 hours, youve watched 0 movies
3. after 14 hours, you have watched 2 movies
Math question can you please help and can you breakdown how you got your answer
Answer:
8
Step-by-step explanation:
AB=DC
BC=AD
BA=CD
CB=DA
What is the compound interest when £1200 is invested for 8 years at a rate of 3.2% compound interest p.a.?
Answer:
the Compound interest is £1,543.90
Step-by-step explanation:
The computation of the compound interest is shown below:
As we know that
Compound interest is
Amount = Principal × (1 + rate of interest)^number of years
= £1,200 × (1 + 0.032)^8
= £1,200 × 1.286582318
= £1,543.90
hence, the Compound interest is £1,543.90
We simply applied the above formula so that the correct value could come
And, the same is to be considered
NEED HELP ASAP!!!!!!
Answer:
x=57
Step-by-step explanation:
63+60= 123
A triangle is 180 degrees
180-123= 57
x=57
Answer:
pretty sure x = 57
Step-by-step explanation:
60 + 63 = 123
180 - 123 = 57
Find the two square roots of 144.
Answer:
The square root function
sqrt(144) or √144 produces a single positive value, 12.
However if you have an equation
x² = 144, then you have two possible values for x, 12 and -12.
Two ways to look at it.
x² - 144 = 0
Difference of two squares
(x+12)(x-12) = 0
x = -12, 12
x² = 144
x = ±√144
x = ±12
x = -12, 12
Answer:
12 and -12
Step-by-step explanation:
144 is a perfect square which means that a number multiplies to it with the same number. In this instance both 12 and -12 equal 144.
12 x 12 = 144
-12 x -12 = 144 (two negatives equal a positive)
HELP I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!! THIS IS TIME PLZ HELP!!!
(look at the screenshot)
Ruby is visiting San Francisco. From her hotel she walks 2 blocks east and 4 blocks north to a coffee shop. Then she walks 6 blocks west and 5 blocks north to a museum. Where is the museum in relation to her hotel? SHOW YOUR WORK!!!
The museum is __ blocks(s) __ (east or west) and __ block(s) (north or south) of her hotel.
Answer:
2 blocks west and 5 steps north
Step-by-step explanation:
Review my example on how to find the rate of change for a given set of data. Let (x, y) = (11, 12) and (x', y') = (15, 16). The formula to find the rate of change for the two order pairs is: (y' - y) / (x' - x) = rate of change, so (16 - 12) / (15 - 11) = 4/4 = 1, therefore, the rate of change is 1 *
I would have labeled the points as
(x1,y1) = (11,12)
(x2,y2) = (15,16)
then used the formula
m = (y2-y1)/(x2-x1)
However, your idea works as well. I don't see any errors with your steps. Nice work.
Tom fed the dog 3 times as many times as her sister last week. His sister walked the dog 9 times. Max said he could multiply 4 times 9 to find out how many more times he walked the Dog than his sister. Is Tom correct?
Answer:
No
Step-by-step explanation:
The calculation that Tom is trying to do would be to calculate how many times he walked the dog if he had walked the dog 4 times as many times as his sister, who in this scenario walked the dog a total of 9 times. Since, in this scenario there is no mention of how many times Tom walked the dog then this calculation cannot be made and I would say that Tom is not correct.
Answer: nope
Step-by-step explanation: it’s just obvious
How many choices are in the sample space of drawing a club out of a deck of 52 cards?
A. 13 choices
B. 52 choices
C. 26 choices
D. 12 choices
Answer:
A. 13
Step-by-step explanation:
14. Susan went on a bus at 5:07 pm and got off at 6:32 pm. How long was 1 point
her journey?*
O 60 minutes
O 85 minutes
O 90 minutes
O 105 minutes
Answer:
susan took a detour with a stranger she told me so
Can sides of a triangle have lengths 3,4,9
Answer:
yes
Step-by-step explanation:
No, the lengths 3, 4, and 9 cannot form the sides of a triangle.
What is Triangle Inequality?The triangle inequality is a fundamental geometric principle that states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
We have sides as 3, 4 and 9.
For a triangle to be valid, the sum of the lengths of any two sides must be greater than the length of the third side.
In this case, let's check if this condition is satisfied:
3 + 4 = 7
7 is less than 9
Therefore, these lengths do not satisfy the triangle inequality theorem, and a triangle cannot be formed with side lengths 3, 4, and 9.
Learn more about triangle inequality theorem here:
https://brainly.com/question/30956177
#SPJ2
what is the answer to 36 divided by 48
Answer:
0.75
Step-by-step explanation:
Answer: 36 = dividend
48 = divisor or if ur doing other way 0.75
Step-by-step explanation:
identify the center
A music store bought a CD set at a cost of $20. When the store sold the CD set, the percent markup was 35%. Find the selling price.
The selling price was s (Round to the nearest dollar as needed.)
Answer:
30.8 I believe is your answer
Step-by-step explanation:
Tamika wants to predict the outcome of next Tuesday’s game, between the Nets and the Warriors.
She believes that the Warriors will score 19 points less than the Nets. Tamika also predicts that the total amount of points scored for both teams will be 207 points.
How many points does Tamika think that the Warriors will score? How many points will the Nets score?
Step-by-step explanation:
Let x be the Warriors' score. Then from Tamika's prediction, (x + 19) is the Nets' score.
Toal score = x + (x + 19) = 2x + 19 = 207.
Therefore 2x = 188 and x = 94.
Hence Tamika thinks that the Warriors will score 94 points and the Nets will score 94 + 19 = 113 points.
A parking lot is constructed in the shape of a parallelogram. A construction company needs to pave the parking lot, which will cost $3 per square foot. What is the total cost to pave the parking lot.
Answer:
[tex]\$3A[/tex]
[tex]A[/tex] denotes area of a parallelogram
Step-by-step explanation:
Given: A parking lot is in the form of a parallelogram. Per square foot cost to pave the parking lot is [tex]\$3[/tex].
To find: Total cost to pave the parking lot
Solution:
Let [tex]A[/tex] denotes area of a parallelogram.
Also,
Per square foot cost to pave the parking lot is [tex]\$3[/tex].
So,
Total cost to pave the parking lot [tex]=\$3A[/tex]
find the solution to following system using substitution or elimination
y = -x + 10
y = 7x + 2
A. (1,9)
B. ( 3/2 , 17/2)
C. (9,65)
D. (1, -1/7)
Answer:
the answer is (1,9)
Step-by-step explanation: