What is the value of q?
52 589
9
A rectangle has a length of 3x + 7 and a width of 2x. If the perimeter of the
rectangle is 94 units, what is the length of the rectangle.
Answer:
The length of the rectangle is 31.
Step-by-step explanation:
We have that the length (L) and width (W) are:
[tex] L = 3x + 7 [/tex]
[tex] W = 2x [/tex]
The perimeter of the rectangle is given by:
[tex] P = 2W + 2L [/tex]
[tex] 94 = 2(2x + 3x + 7) [/tex]
[tex] 94 = 10x + 14 [/tex]
[tex] x = 8 [/tex]
Now, we can calculate the length of the rectangle:
[tex] L = 3x + 7 = 3*8 + 7 = 31 [/tex]
Therefore, the length of the rectangle is 31 units.
I hope it helps you!
A ladder 5 m long, leaning against a vertical wall makes
an angle of 65° with the ground. How far up the wall is
the top of the ladder?
Step-by-step explanation:
Given:length of ladder =5 m
Angle formed = 65°
Let h be the Height of the top of the ladder from the ground
Required:Height of the top of the ladder from the ground
Equation:SOH-CAH-TOA
Since the hypotenuse side is given and what we are to solve is the opposite side, use SOH
[tex]sinθ\:=\: \frac{opposite}{hypotenuse}[/tex]
[tex]sin(65°)\:=\: \frac{opposite}{5\: m}[/tex]
[tex]opposite\:=\:(5 \:m )\:sin(65°)[/tex]
[tex]opposite\:=\:4.53 \:m[/tex]
Final Answer:The height of the top of the ladder from the ground is 4.53 mPlease refer to the photo for the illustration
Please help
Part b is how much farther would she have to walk if she stopped at randis house before continuing on to the store
Answer:
10 units
Step-by-step explanation:
Distance from Sarah's house to Randi's house = 6 units.
Distance from Randi's house to store = 8 units.
By using Pythagoras theorem:
Distance from Sarah's house to store
[tex] = \sqrt{ {6}^{2} + {8}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]
Р
D
Which of the statements describe the transformation on
the left? Check all that apply.
NOPQR-N'O'P'Q'R'
ONOPQR-→ NOPQR
O QRNOP → R'N'O'P'Q'
NOPQR maps to N'O'P'Q'R'
O QPONR maps to Q'P'O'N'R'
N
R
N
R
The statements which describe the transformation on the left are:
NOPQR → N'O'P'Q'RNOPQR maps to N'O'P'Q'R'QPONR maps to Q'P'O'N'R'What is a transformation?A transformation refers to the movement of a point from its original position to a new location. Hence, when an object is transformed, all of its points would also be transformed.
Based on the image of these geometric figures (see attachment), we can infer and logically deduce that the following statements describe the transformation on the left:
NOPQR → N'O'P'Q'RNOPQR maps to N'O'P'Q'R'QPONR maps to Q'P'O'N'R'Read more on transformation here: https://brainly.com/question/12040896
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Answer: a,b,d that´s the answer
Step-by-step explanation
a factory is able to manufacture parts for a ceiling fan. based on the data shown in the graph below, how many parts can the factory manufacture in 14 hours
Answer:
Step-by-step explanation:
Roberto wants to display 18 sports cards in an album. Some pages hold 2 cards and others hold 3 cards. How many different ways can Roberto display his figures?
Answer: The answer is 2.
HOPE IT HELPS!!
How many solutions exist for the given equation?
x+12) = 4x-1
EEEE
O zero
O one
two
O infinitely many
Answer:
One answer exists for this equation.
Which statement describes data that is normally distributed?
A.
The majority of the data is to the left of the mean.
B.
The majority of the data is to the right of the mean.
C.
The majority of the data is in the center with the mean.
D.
The majority of the data is split to the right and left of the mean.
Please explain and no answering just for points.
Answer: D.) The majority of the data is split to the right and left of the mean
Ed spent 25% of his savings on lunch, which cost $5.25. How much did he have in savings before lunch?
Step-by-step explanation:
I think 21 dollars is the answer
HELP PLEASE
Determine the length of a chord whose central angle is 65° in a circle with a radius of 9 feet.
Question 5 options:
1)
4.84 feet
2)
9 feet
3)
9.67 feet
4)
8.16 feet
Answer:
3)
9.67 feet
Step-by-step explanation:
The length of the chord is approximately 8.16 feet. The correct option is 4.
What is the length of the chord of the circle?A line segment connecting two points on a circle is referred to as a circle's chord in geometry. The circle's center is traversed by the longest segment that can be drawn between any two points on the circle.
To get the chord's length, we can utilize the formula for a circle's chord length. The equation is:
Length of chord = 2r sin(θ/2)
where r is the circle's radius, is its radian central angle, and sin is the sine function.
First, we need to convert the central angle from degrees to radians:
θ = 65° = (65/180)π = 1.14 radians
Now we can plug in the values:
Length of chord = 2(9 feet) sin(1.14/2) ≈ 8.16 feet
Therefore, the length of the chord is approximately 8.16 feet.
To know more about the chord of a circle follow
https://brainly.com/question/8937665
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1. (1.-2).(-2, 0).(-1,2). (1.3)
Function:
Domain:
Range:
What’s is 9 divided by 3/10
Answer:
30
Step-by-step explanation:
9/(3/10)=9*(10/3)=30
You are purchasing a car for $12,465.00 plus 5.65% sales tax. You make a $1,300.00 down payment and have a fair credit score. If you improved your credit score to good and paid $1,500 on your purchase, how much interest could you save in the first month?
Secured Unsecured
Credit APR (%) APR (%)
Excellent 4.75. 5.50
Good 5.00 5.90
Average 5.85 6.75
Fair 6.40 7.25
Poor 7.50 8.40
$13.25
$14.68
$21.74
$25.69
Answer:
21.74
Step-by-step explanation:
Please help this is for a grade and I need it answered soon
Answer:
option D
Step-by-step explanation:
5c(3c²)³
5c(27c^6)
135c^7
3.2 - 5.1n - 3n + 5= n +8.2 can someone tell me what goes in the blank
Diego had $420 in his checking account. He made 6 deposits of $35.50 each. He also
needs to write 4 checks for $310.75 each.
a. How much did Diego deposit In total?
show the work please.
giving 13 points!!
Please help me if u know
Nada is making square coasters with sides of 3 inches. On each coaster is a circular design. What is the radius of the largest circle that fits on one of the coasters?
Answer:
1.5
Step-by-step explanation:
diameter is half the length of the circle so if it is 1.5 the full length will be 3 inches which is the full length of the coaster
Find the value of x.
Answer:
[tex]\sqrt{30}[/tex]
On Wednesday, farmer bell wants to take an inventory of his mango trees He planted 7 rows of mango trees. There are 42 mango trees in each row. How many mango trees does he have altogether?
A mason has 7,758 bricks that he needs to share equally among 9 dierent building sites. How many bricks should go to each site?
Answer:
The answer is 862
Step-by-step explanation:
All you have to do is divide 7758 by 9 which would equal 862. Hope this helps.
--6x = 48 (solving equations)
Based on the table, which function represents the same relationship? The x column has 0, 1, 2, 3. The y column has 0.0625, 0.25, 1, and 4.
Answer
A g(x) = (0.25)
B g(x) = 256(0.25)
C92) = 0.0625(4)"
D g(x) = 0.5(4)"
Answer: C 92) = 0.0625(4)
Step-by-step explanation:
it iz
Which is the percent for 1.67
Answer:
167%
i thank that is the anserr.
Step-by-step explanation:
H
Which side has a length of 10 units?
G
8
O HG
O GJ
4
O HI
OJ
-8
-4
4
8
1
-4
-8
Done
Intro
Answer:
HI sorry for the late answer:>
Step-by-step explanation:
Answer:
it is indeed HI
Step-by-step explanation:
What will be the equations for the justification.
Answer:
The expression is: [tex]-30n + 70 = -80[/tex]
Step-by-step explanation:
Given
[tex]n = 5[/tex]
Multiply both sides by 3
[tex]3 * n = 5 * 3[/tex]
[tex]3n = 15[/tex]
Subtract both sides by 7
[tex]3n - 7 = 15 - 7[/tex]
[tex]3n - 7 = 8[/tex]
Multiply both sides by -10
[tex]-10(3n - 7) = -10*8[/tex]
[tex]-30n + 70 = -80[/tex]
To verify: Substitute 5 for n
[tex]-30 * 5 + 70 = -80[/tex]
[tex]-150 + 70 = -80[/tex]
[tex]-80 =-80[/tex] ---- Verified
Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h. Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Question:
A company produces boxes of DVDs at a rate of 52 boxes per hour they begin to produce boxes when they first opened for the day and after 3 hours have 400 boxes in stock.
- How many boxes were in stock when they opened?
- Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h.
- Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Answer:
1. [tex]Initial = 244[/tex]
2. [tex]b = 244 + 52h[/tex]
3. 660 boxes
Step-by-step explanation:
Given
[tex]Rate = 52\ per\ hour[/tex]
[tex]Total\ boxes\ in\ 3\ hours = 400[/tex]
Solving (a): Initial Number of boxes
First, we calculate the number of boxes made in 3 hours
[tex]Boxes = Rate * Hours[/tex]
[tex]Boxes = 52 * 3[/tex]
[tex]Boxes = 156[/tex]
If they had 400 boxes at the 3rd hour.
Then, the number of boxes when they opened is:
[tex]Initial = 400 - 156[/tex]
[tex]Initial = 244[/tex]
Solving (b): Linear function
[tex]b = boxes[/tex]
[tex]h = hours[/tex]
Since, we have the rate and the initial number of boxes.
The linear function is:
[tex]Boxes = Initial + Rate * Hours[/tex]
i.e.
[tex]b = 244 + 52 * h[/tex]
[tex]b = 244 + 52h[/tex]
Solving (c): Boxes at the end of the 8th hour
We have:
[tex]b = 244 + 52h[/tex]
In this case:
[tex]h = 8[/tex]
Substitute 8 for h
[tex]b = 244 + 52 * 8[/tex]
[tex]b = 244 + 416[/tex]
[tex]b = 660[/tex]
Hence, there are 660 boxes at the end of the 8th hour
Jada’s lawn mowing service charges $28 per hour plus a $20 fee to cover gas for the mower. Mai’s lawn service charges $16 per hour, but a $44 fee. For how many hours will Jada’s service be cheaper than Mai’s?
Answer:
5
Step-by-step explanation:
JADA MAI
1. 48 60
2. 68 76
3. 88 92
4. 108 108
so its 5
Answer:12 hour
Step-by-step explanation:they ask For how many hours will Jada’s service be cheaper than Mai’s its 12 if you subtract 60-48 which is how much jade and mai is paying you have 12 and thats with the fee without the fee it would still be 12 becuase thats how much hours they put into it
HELP ME FAST PLEASE I NEED THIS VERY SOON!!! you’d be a lifesaver omg
There are 600 seats in the auditorium. This is 112 less than the number of seats in the gymnasium. How many seats are in the gymnasium?
712 is the answer of this question