Answer:
Length= 17 feet
Width= 29 feet
Step-by-step explanation:
Original
Length= (2x +1) ft
Width= (3x -3) ft
New deck
Length= (2x +1) ft
Width
= (3x -3 +x) ft
= (4x -3) ft
Area of deck= length ×width
493= (2x +1)(4x -3)
Expand:
493= 2x(4x) +2x(-3) +1(4x) +1(-3)
493= 8x² -6x +4x -3
493= 8x² -2x -3
8x² -2x -3 -493= 0
8x² -2x -496= 0
Divide by 2 throughout:
4x² -x -248= 0
Factorise:
(x -8)(4x +31)= 0
x -8=0 or 4x +31= 0
x= 8 or 4x= -31 (reject)
Length of new deck
= 2(8) +1
= 16 +1
= 17 ft
Width of new deck
= 4(8) -3
= 32 -3
= 29 ft
Rewrite in simplest terms: 3g-5(-3g+7)3g−5(−3g+7)
Answer:
Step-by-step explanation:
3.750 kg and 1.125 kg in simplest form
Answer:
3.750 kg + 1.125 kg = 4.875 kg
Answer:
Hello There!!
Step-by-step explanation:
When it is simplest form you add all the like terms together so in this case it is kilograms so 3.750+1.125= 4.87500kg or 4.875kg (It is the same just shorter)
hope this helps,have a great day!!
~Pinky~
What is the total surface area of the solid?
9.7 mm
9.7 mm
8 mm
10 mm
11 mm
16 mm
sorry but I don't know, I'm in the 3rd grade and I don't know much about this, I hope this will be useful to you, I just could do it! I'm sorry❤️
What is coordinates of point C?
Answer:
(3,6)
Step-by-step explanation:
Using the midpoint segment formula
M(X, Y) = [(ax1+bx2/2, ay1+by2/2)]
Given (-2 -6) and (4,6) divided in the ratio 1:5
X = 1(-2) + 5(4)/1+5
X = -2+20/6
X = 18/6
X = 3
Similarly
Y = 1(-6)+ 5(6)/1+5
Y = -6+30/6
Y = 24/6
Y = 4
Hence the required coordinate of C is (3,6)
What is the rule of 72?
Answer:
Brainiest please
Step-by-step explanation:
In finance, the rule of 72, the rule of 70 and the rule of 69.3 are methods for estimating an investment's doubling time. The rule number (e.g., 72) is divided by the interest percentage per period (usually years) to obtain the approximate number of periods required for doubling. Although scientific calculators and spreadsheet programs have functions to find the accurate doubling time, the rules are useful for mental calculations and when only a basic calculator is available.
Write the simplest form of this ratio and its method.
2/3 : 3/2 : 5/8
Answer:
16 : 36 : 15
Step-by-step explanation:
2/3 : 3/2 : 5/8
multiply each term by the lowest common denominator: 24
16 : 36 : 15
Two triangular prisms are similar. The perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism. How are the surface areas of the figures related? The surface areas are the same. The surface area of the larger prism is 2 times the surface area of the smaller prism. The surface area of the larger prism is 4 times the surface area of the smaller prism. The surface area of the larger prism is 8 times the surface area of the smaller prism.
we know that
if the perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism and the two triangular prisms are similar
then
the scale factor is equal to
so
substitute the value of the scale factor
therefore
the answer is the option
Answer:
The surface area of the larger prism is 4 times the surface area of the smaller prism.
HELP WILL GIVE BRAINLIST
Help!!!!! find the value of x.
Answer:
x = 48
Step-by-step explanation:
The two angles shown in the diagram are supplementary and add to 180° because they form a straight line. We can set up an equation:
x - 12 + 3x = 180
4x - 12 = 180
4x = 192
x = 48
Answer:
[tex]x=42[/tex] ✔︎
Step-by-step explanation:
∠1 + ∠2=1803x+x-12=1804x-12=1804x=180-124x=168x=42°∠1= 3x=3×42=126°
∠2=x-12=42-12= 30°
------------------------------
hope it helps...
have a great day!!
Work out the size of angle p.
97°
64°
р
49°
76
Answer:
You have not attached a picture of the triangle.
180 degrees complete a triangle so maybe if an angle is given + 90 degrees if its right angle then 90- other angle = angle p.
You would need to see if any other angles given and if not then you would need to see if any straight parallel lines or adjacent or even consecutive angles given if not then angle p could be worked out from a side given.
If its an opposite side and adjacent then we use shift Tan-1 side/side
If its an adjacent side and hypotenuse we use shift Cos-1 side/side
IF its an opposite and hypotenuse given we use shift Sin -1 side/side
need help w this pls guys
Answer:
B
Step-by-step explanation:
Find the area of this circle. Use
3.14 for it.
96 mm
Answer:
28938.24
Step-by-step explanation:
A=π[tex]r^{2}[/tex]
= 3.14 x [tex]96^{2}[/tex]
= 28938.24
Please mark brainliest:)
In selecting one card from a deck of cards is obtaining a queen and obtaining a 2 mutually exclusive events?
A: Yes/True
B: No/False
Answer:
Mutually exclusive is a statistical term describing two or more events that cannot happen simultaneously. It is commonly used to describe a situation where the occurrence of one outcome supersedes the other.
Since in this question, we have selected one card from a deck, and is obtaining a 2 and a queen.
I think the answer for this would be No/False but if i'm wrong, tell me!
Which trig ratio? Can you solve this??
Step-by-step explanation:
There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.
1) Find the area of ABC to the nearest square centimeter.
that is right correct answer
A student measures the volume of a rubber stopper and finds that it is 36ml. The
teacher also measures the stopper and obtains a value of 40 ml. Other students
measure the stopper and it is decided to use 38 ml as the standard value for the
volume of the stopper. What was the student's percentage error? The teachers
error?
Answer:
the answer should be 5 I guess
A clock gains 12 min 15 s in one week. How many days will it take to gain 3 h
30 min?
Answer:
119 and a half days.
Or 17 and a half weeks
URGENT QUESTION.
The graph represents all solutions to an inequality
Please tell me the answer to this question. It is urgent...
Answer:
The answer is D. -9 and -3
Step-by-step explanation:
since the graph starts at 1 and goes backwards, it cant be 1. so that rules out A. and B. then it requires the numbers to be negative because if they are a whole number over 1, they don´t fit the inequality. I hope this helps :))
Help please! I would really appreciate it!!!
Answer:
the output is n+5
Step-by-step explanation:
3+5
4+5
8+5
n+5
X + 6
for
<1
f(x) =
-5
for
X = 19
X + 4
for
Find f(1)
Answer:
Step-by-step explanation:
when, for each x in the domain of f, f(x) 6. A function f Skills and Applications 回避回Domain, Range, and Values of a is , 13. Function In Exercises 7-10, use the graph of the function to find the domain and range of f and each function value. 7. (a) f(-1) (b) f(0) 8. (a) f(-1) (b) f(0 15. f(x) 16. f(x) 17. f(x) 18. f(x) 19. f(x 4-2 2 4 6 (c) f(3) (d) f(-1)(c) f(0 (d) f(2) y | y =f(x) 20. f(x 4 2 21. f(x 22. f(x 23. f(a 24. f( 2 回 回Vertical Line Test for Functions In 25. f Exercises 11-14, use the Vertical Line Test to determine whether the graph represents y as a function of x. To print an enlarged copy of Graph the graph, go to MathGraphs.com. 窝 (a) use
Find the domain and range of the given graph?
HELPPPP PLSS
Answer:
The domain would be -3≤x≤2 and the range would be -5≤y≤4
Step-by-step explanation:
The domain is where the x values cover, so since on the graph the points range from having -3 as the x value to 2, x would be anything between or equal to these values.
The domain is where the y values cover, so since on the graph the points range from having -5 as the y value to 4, y would be anything between or equal to these values.
Enter the value of p so that the expression (7 + 4n)3 is equivalent to 3 (4n + p).
I NEED HELPPP
Answer:
7
Step-by-step explanation:
Makes both expressions exactly identical and equivalent in value.
write √ 45 + √ 20 in the form k √ 5
Answer:
5sqrt(5)
Step-by-step explanation:
sqrt(45)+sqrt(20)
sqrt(9*5)+sqrt(4*5)
sqrt(9)sqrt(5)+sqrt(4)sqrt(5)
3sqrt(5)+2sqrt(5)
(3+2)sqrt(5)
5sqrt(5)
The expression in the required form is 5√5.
What is square root?A number's square root is a value that, when multiplied by itself, yields the number.
The given expression is √45 + √20.
Simplify the expression as follows:
√45 + √20
√(9×5) + √(4 ×5)
= 3√5 + 2√5
= √5(3+2)
= 5√5
Hence, the expression in the required form is 5√5.
Learn more about the square roots here:
https://brainly.com/question/3120622
#SPJ2
Figure JKLM is similar to figure PQRS.
S
J
к
R
Р
M
L
Which proportion must be true for these figures?
QR JK
F
=
QP
LM
QR
RS
=
KL
JK
QR
H
Il
PO
LM
QR
Il
PS
IM
KL
Answer:
the answer is D
Step-by-step explanation:
i found it in quizzes and Quizlet
find the measure of each angle indicated
a. 33
b. 36
c. 31
d. 136
Answer:
31
Step-by-step explanation:
Let the missing angle be x.
Sum of angles in a triangle is supplementary,
x + 20 + 129 = 180
x + 149 = 180
x = 180 - 149
x = 31
Answer:
31
Step-by-step explanation:
A triangle is 180 degrees.
129 + 20 = 149
180 - 49 = 33
i need help 3x²+7x+3=0
Answer:
60
Step-by-step explanation:
3x=3 multiplied by 2 which is 3x3=9
so, 9+(7x= 7x7=49) 49+3=61 rounded to 60
A tennis court has a length of (5x+7) and a width of (3x-3).
What is the area of the tennis court?
A recent study revealed that the average weight of babies born in the United States is normally distributed with a mean of 7.5 pounds. This number is lower than recent years and so researchers are interested in determining what factors are associated with lower birth weights. One researcher decides to look at the age of the mother to determine if younger mothers have babies that are significantly heavier or lighter than average. To study this the researcher collects data from 87 babies who were born to mothers between the ages of 16 and 18. Only one baby was measured per mother. Twins and other multiple births were excluded. The average weight for these babies was 7.3 pounds with a standard deviation of .6 pounds.
Which of the following statements is relevant to the assumption of Normality?
a. the standard deviation for young mothers is not expected to be different than the standard deviation in the population
b. only one baby was measured per mother
c. weights of babies are normally distributed in the population
d. the study used a sample that is different than the comparison population and measured weight on a ratio scale
Answer:
a. the standard deviation for young mothers is not expected to be different than the standard deviation in the population
Step-by-step explanation:
The population mean = μ= 7.5
Sample mean = x`= 7.3
Sample standard deviation= s= 0.6
Sample size = 87
Assuming normality we perform z test
z= x`-u/s/√n
z= 7.3-7.5/0.6/√87
z= -3.11
The critical region for 0.05 for two tailed test is z>+1.96 and Z<-1.96
Since the calculated z= -3.11 falls in the critical region Z<-1.96 we conclude that birth rate is lower in the young mothers.
a. the standard deviation for young mothers is not expected to be different than the standard deviation in the population
Only choice a is correct because when n > 30 the population standard deviation and the sample standard deviation are assumed to be normal
Choice b cannot be the correct option because it is already inferred that only one baby was measured per mother.
Choice C cannot be also the best choice because it is already assumed.
Choice d is totally incorrect.
A prism has a triangular base whose area is 42 square inches. If the height of the prism is 11
inches, which of the following is the volume of the prism?
Answer:
The volume of the prism is of 462 cubic inches.
Step-by-step explanation:
Volume of a triangular prism:
The volume of a triangular prism is given by:
[tex]V = A_b*h[/tex]
In which [tex]A_b[/tex] is the area of the base and h is the height of the prism.
A prism has a triangular base whose area is 42 square inches.
This means that [tex]A_b = 42[/tex]
Height of 11 inches.
This means that [tex]h = 11[/tex]
Which of the following is the volume of the prism?
[tex]V = A_b*h = 42*11 = 462[/tex]
Height in inches, so the volume of the prism is of 462 cubic inches.
ascending order for
0.005,0.015,0.006 and 0.0125
Pls answer
Will mark as brainliest
Answer:
0,0125,0.005,0.006,0.015