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]
Circle D is shown. Line segment G D is a radius, D F is a radius, and D E is a radius. Angle G D F is 126 degrees, and angle F D E is 41 degrees. Point C is on the circle within angle G D F and point H is on the circle within angle G D E. Which statements are correct? Check all that apply.
Answer:
2,3,4 are correett
Step-by-step explanation:
1,5,6 are wroongg
Answer: 2 3 4 are your answers
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
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:
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:
Help please due in an 1 hour!!
Answer:
275
Step-by-step explanation:
1375-550/5-2
Answer:
275 per minute
Step-by-step explanation:
550/2=275
1375/5=275
2200/8=275
3025/11=275
therefore it is 275 ft. per minute
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.
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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
On a Cartesian plane, the horizontal axis is called the _______ -axis and the vertical axis is called the _______-axis.
Answer:
Step-by-step explanation:
horizontal = x-axis
vertical = y-axis
Hope this helps!
Answer:
Horizontal: X-axis; Vertical: Y-axis
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.
ten subtracted from a number if the difference is 30 what was the orginal number
If f(x) = 1/2x^2 - (1/4x +3), what is the value of
f(8)?
Answer:
27
Step-by-step explanation:
If [tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex], then the value of [tex]f(8)[/tex] is [tex]f(8) = \frac{-93}{4480}[/tex].
What is Quadratic Equation?A quadratic equation is an algebraic equation in the variable of the second degree. The quadratic equation is in the form of [tex]ax^{2} + bx + c = 0[/tex], where [tex]a,b,c[/tex] are the real numbers.
We have
[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]
According to Quadratic Equation,
[tex]f(x)=ax^{2} +bx+c[/tex]
And we have,
[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]
So,
[tex]f(8) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]
i.e. putting [tex]x=8[/tex],
[tex]f(8) = \frac{1}{2(8)^2} - \frac{1}{4*8 +3}[/tex]
[tex]f(8) = \frac{1}{128} - \frac{1}{35}[/tex]
Solving the above part,
[tex]f(8) = \frac{ 35-128 }{ 128*35 }[/tex]
[tex]f(8) = \frac{-93}{4480}[/tex]
Hence, we can say that value of [tex]f(8) = \frac{-93}{4480}[/tex] .
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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
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)
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
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
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
5. A train travels two different routes: the North Route and the South Route. • On Monday, the train traveled the North Route 8 times and the South Route 10 times, traveling a total of 410 miles. • On Tuesday, the train traveled the North Route 15 times and the South Route 11 times, traveling a total of 575 miles. How long is each route?
Answer:
North Route is 20 miles, and South Route is 25 miles.
Step-by-step explanation:
Let the length of the North route be represented by x and that of the South route be represented by y.
On Monday,
8x + 10y = 410
On Tuesday,
15x + 11y = 575
So that,
8x + 10y = 410 .............. 1
15x + 11y = 575 ......... 2
Using substitution method, from equation 1;
x = [tex]\frac{410 - 10y}{8}[/tex] ................. 3
Substitute the expression for x into equation 2,
15([tex]\frac{410 - 10y}{8}[/tex]) + 11y = 575
multiply through by 8,
6150 - 150y + 88y = 4600
6150 - 62y = 4600
6150 - 4600 = 62y
1550 = 62y
divide through by 62 to have,
y = 25
Substitute the value of y in equation 3
x = [tex]\frac{410 - 10y}{8}[/tex]
= [tex]\frac{410 - 10(25)}{8}[/tex]
= 20
x = 20
Thus, North Route is 20 miles, and South Route is 25 miles.
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%
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:
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
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:
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:
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
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
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
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
helpppppp plssssssss
Answer:
d
Step-by-step explanation:
I THINK
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!