Answer:
Perimeter of rectangle 1=4x+4
Perimeter of rectangle 2=4x+4
Step-by-step explanation:
Two squares with the same dimension
Square 1: let length=x
Square 2: let length=x
Since they have same dimensions
He added two inches to the length of square 1 to make it a rectangle
Rectangle 1: width=x, length=x+2
Perimeter=2(l+w)
=2{(x+2)+x}
=2(x+2+x)
=2(2x+2)
=4x+4
He added two inches to the width of square 2 to make it a rectangle
Rectangle 2: length=x, width=x+2
Perimeter=2(l+w)
=2{(x+(x+2)}
=2(x+x+2)
=2(2x+2)
=4x+4
The two rectangles have equal perimeter
The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a different spot to place the light. The proposed placements and the lit area that each produces are shown below. 27,5ft 38ft 60ft and 16.5ft 38ft 60 ft How do Nikki’s and Dylan’s proposals compare? Check all that apply. Nikki’s proposed placement will light a greater area than Dylan’s placement. Dylan’s proposed placement will light a greater area than Nikki’s placement. Both proposed placements will light the same sized area. Nikki’s proposed placement will light more than half the yard. Dylan’s proposed placement will light more than half the yard. Dylan’s proposed placement will light exactly half of the yard. Nikki’s proposed placement will light less than half of the yard.
Answer:
(C)Both proposed placements will light the same sized area.
(F)Dylan’s proposed placement will light exactly half of the yard.
Step-by-step explanation:
The diagram of the proposed light placement is attached below.
The area of the Rectangular Yard=60 X 38=2280 Square feet
The lit area for both placements is in a triangular shape.
Area of a triangle [tex]=\dfrac12 \times Base \times height[/tex]
Area of Nikki's Proposed Placement Lit Area =0.5 X 60 X 38[tex]=1140 ft^2[/tex] Area of Dylan's Proposed Placement Lit Area=0.5 X 60 X 38 [tex]=1140 ft^2[/tex]Therefore, the following options are correct:
(C)Both proposed placements will light the same sized area.
(F)Dylan’s proposed placement will light exactly half of the yard.
please help its urgent !!!! -3c + 5d + 3c- d
Answer:
4d
Step-by-step explanation:
Am I supposed to simplify this?
-3c+5d+3c-d
-3c+3c+5d-d
0+4d
4d
Let me know if this helps :)
Answer:
= 4d
Step-by-step explanation:
-3c+3c = 0
5d-d = 4
-3c+5d+3c-d=4d
Lisa has 10 pencils. She gives two pencils to Anna and one pencil to Ben. What fraction of her pencils did she give away?
━━━━━━━☆☆━━━━━━━
▹ Answer
[tex]\frac{3}{10}[/tex]
▹ Step-by-Step Explanation
2 + 1 = 3
Written as → [tex]\frac{3}{10}[/tex]
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
[tex] \frac{3}{10} [/tex]Step-by-step explanation:
Total pencils that Lisa had = 10 pencils
Total pencils that Lisa had given to Anna and Ben:
=2+1
= 3
Now,
Fraction of her pencils that she gave away:
[tex] \frac{3}{10} [/tex]
Hope this helps...
Good luck on your assignment...
Use the substitution method to solve the system of equations. Choose the
correct ordered pair
y = 12x-8
y=8x
A (4.12
B (3,15
C. (5.11
D. (216)
Answer:
D) (2,16)
Step-by-step explanation:
Y=12x-8
Y=8x
8x=12x-8
8=12x-8x
8=4x
2=x
Y=8x
Y=16
A man from a village X on a bearing of 060 degree to a village Y which is 20km away.From Y,he travels to a village Z,on a bearing of 195 degree. If Z is directly east of X , calculate, correct to three significant figure the distance of Y from Z and Z from X
Distance from Y to Z is 10.4 km and Z to X is 20 km
What is Distance?Distance is a numerical measurement of how far apart objects or points are.
What is Triangle?A triangle is a polygon with three edges and three vertices.
From the given data plot the graph,
Then,
∠XYZ=∠YZX=75 degrees
Therefore XY=XZ=20 km
[tex]YZ^{2}=20^{2} +20^{2} -2(20)(20)cos30[/tex]
YZ=10.4 km
Hence, Distance from Y to Z is 10.4 km and Z to X is 20 km
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Answer:
Step-by-step explanation:
if y is an integer, find the value of y that satisfies both the linear inequalities y-2<2 and 3y+10>16
please give me calculation too tq
Answer:
Value of y = 3
Step-by-step explanation:
Given:
y-2<2 ........Eq1
3y+10>16.........Eq2
Find:
Value of y
Computation:
y-2<2
Add 2 both side,
y-2+2<2+2
y < 4
So y = (0,1,2,3)
Put y = 3 in both equation:
y-2<2
3-2<2
1<2
3y+10>16
3(3) + 10 >16
19>16
Both equation get satisfies by y = 3
So, Value of y is 3
A policyholder has probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims. Claim amounts are uniformly distributed on the interval [0,60] and are independent. The insurer covers 100% of each claim. Calculate the probability that the total benefit paid to the policyholder is 48 or less.
Answer:
0.89.
Step-by-step explanation:
So, we are given the following data or parameters or information which is going to aid in the solution to this question or problem. So, the data or parameters are;
(1). "probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims."
(2). " distributed on the interval [0,60] and are independent."
(3). "The insurer covers 100% of each claim."
So, taking (1) above we will have;
(Total probability= 0.7 + 0.2 + 0.1 = 0.1)
A = { (0.7 × 0)^2 + (0.2 × 1)^2 + ( 0.1 × 2)^2 =( 0.4) +( 0.4) = 0.8.
0.8 + total probability = 0.8 + 0.1 = 0.9.
So, from the question, we are to "Calculate the probability that the total benefit paid to the policyholder is 48 or less."
Hence, P< 48/A = P < 48/0.9 = P < 53.33.
Thus, 53.33/60 = 0.89.
How do you factor the expression 54+24= Thanks!
Answer:
Step-by-step explanation:
1.The prime factorization of 54 is: 2 x 3 x 3 x 3.
2.The prime factorization of 24 is: 2 x 2 x 2 x 3.
3.The prime factors and multiplicities 54 and 24 have in common are: 2 x 3.
4.2 x 3 is the GCF of 54 and 24.
Answer: GCF(54,24) = 6.
Answer:
6 × 13
Step-by-step explanation:
To find the greatest common factor (GCF), write the prime factorization of each term.
54 = 2×3³
24 = 2³×3
The greatest common factor is the product of each prime number at its lowest exponent.
GCF = 2×3
GCF = 6
Factor:
54 + 24
6 (9 + 4)
6 × 13
Which of the following graphs is described by the function given below?
y = 2x2 + 8x+ 3
5
A.
B.
D.
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Step-by-step explanation:
D. Graph D the answer is D
Answer:
D. Graph D the answer is D
Step-by-step explanation:
Given: ∆ABC – iso. ∆, m∠BAC = 120° AH ⊥ BC , HD ⊥ AC AD = a cm, HD = b cm Find: P∆ABH
P = _____ cm
Answer:
P = 5.4641b cm.
Step-by-step explanation:
If the triangle ABC is isosceles and m∠BAC = 120°, we have that:
[tex]mACB = mABC = (180-120)/2 = 30\°[/tex]
Then, in triangle ABH, we have:
[tex]mABH + mBHA + mHAB = 180\°[/tex]
[tex]30\° + 90\° + mHAB = 180\°[/tex]
[tex]mHAB = 60\°[/tex]
If m∠BAC is 120°, we have:
[tex]mHAB + mHAC = 120\°[/tex]
[tex]m∠HAC = 60\°[/tex]
Now we can find the length of AH using the sine relation of angle m∠HAC:
[tex]sin(mHAC) = DH / AH[/tex]
[tex]0.866 = b / AH[/tex]
[tex]AH = b / 0.866 = 1.1547b[/tex]
Now, to find the length of HB and AB, we can use the tangent and cosine relation of the angle m∠HAB:
[tex]tan(mHAB) = HB / AH[/tex]
[tex]1.7321 = HB / 1.1547b[/tex]
[tex]HB = 1.7321 * 1.1547b = 2b[/tex]
[tex]cos(mHAB) = AH / AB[/tex]
[tex]0.5 = 1.1547b / AB[/tex]
[tex]AB = 1.1547b / 0.5 = 2.3094b[/tex]
So the perimeter of triangle ABH is:
[tex]P(ABH) = AB + HB + AH[/tex]
[tex]P(ABH) = 2.3094b + 2b + 1.1547b[/tex]
[tex]P(ABH) = 5.4641b[/tex]
The relation of a and b can be calculated using the tangent relation of the angle m∠HAC:
[tex]tan(mHAC) = DH / AD[/tex]
[tex]1.7321 = b / a[/tex]
[tex]b = 1.7321a[/tex]
One serving of pretzels contains 1.5 grams of fat. That is 3% of the daily amount recommended for a 2,000 calorie diet. How many grams of fat are recommended? Show your work.
Answer: 50 grams of fat
Step-by-step explanation:
From the question, we are informed that one serving of pretzels contains 1.5 grams of fat which is 3% of the daily amount recommended for a 2,000 calorie diet.
This means that we are expected to find the grams of fat for 100%. Since one serving of pretzels contains 1.5 grams of fat which is 3%, this means 1% will contain (1.5/3) = 0.5 grams of fat.
Therefore the grams of fat that are recommended will be:
= 100 × 0.5
= 50 grams of fat
Answer:
50 grams of fat
1.5 / 3 = 0.5
0.5 x 100 = 50
Step-by-step explanation:
check all the answers of a present the same level precision. A) 22.543 B) 98.4 C) 0.264 D) 1.04
Answer:
A,and C
Step-by-step explanation:
A and C have the same level precision , they have three significant digit
You run 9.1 miles in 1.3 hours at a steady rate. What equation represents the proportional relationship between the x hours you run and the distance y in miles that you travel?
Answer:
y = 7x
Step-by-step explanation:
Given that;
You run 9.1 miles in 1.3 hours at a steady rate
Distance y = 9.1 miles
Time x = 1.3 hours
The relationship between the distance y and the time x is the speed v;
Distance = speed × time
y = v×x ......1
v = y/x
Substituting the given values;
v = 9.1/1.3
v = 7 miles/hour
To derive the equation that represents the proportional relationship between the x hours you run and the distance y in miles that you travel. We substitute v = 7 into equation 1;
y = 7x
Which of the following is the best approximation of the area of the circle?
Answer:
49π or 153.938 mm²
Step-by-step explanation:
Area of a Circle Formula: A = πr²
Since we are given radius r, simply plug it into the formula:
A = π(7)²
A = 49π
A = 153.938
Answer:
Step-by-step explanation:
Pleased to help u....
When the sun is 62° above the horizon, a building casts a shadow 18 m long. How tall is the building?
9514 1404 393
Answer:
33.9 m
Step-by-step explanation:
The relationship between the building height (h), the shadow length (s), and the angle of elevation of the sun (α) is ...
tan(α) = h/s
h = s·tan(α) = (18 m)tan(62°) ≈ 33.853 m
The building is about 33.9 meters tall.
On a coordinate plane, a curved line with minimum values of (negative 1.56, negative 6) and (3, 0), and a maximum value of (1.2, 2.9), crosses the x-axis at (negative 2.5, 0), (0, 0), and (3, 0), and crosses the y-axis at (0, 0). Which interval for the graphed function has a local minimum of 0? [–3, –2] [–2, 0] [1, 2] [
Question:
On a coordinate plane, a curved line with
minimum values
o (negative 1.56, negative 6)
o (3, 0),
maximum value
o (1.2, 2.9),
crosses the x-axis
o (negative 2.5, 0),
o (0, 0),
o (3, 0),
crosses the y-axis
o (0, 0).
Which interval for the graphed function has a local minimum of 0?
[–3, –2]
[–2, 0]
[1, 2]
[2,3]
Step-by-step explanation:
From the given information, it 'crosses' the x-axis at (3,0), and this is also a minimum. Thus the local minimum is at (3,0), so the answer choice for the interval is [2,3] (not indicated in the posted question, so double check).
The graphed function has a local minimum of 0 at [2, 4]
What is function?A special relationship where each input has a single output. It is often written as "f(x)" where x is the input value.
Given that, On a coordinate plane, a curved line with minimum values of (-1.56, -6) and (3, 0), and a maximum value of (1.2, 2.9), crosses the x-axis at (-2.5, 0), (0, 0), and (3, 0), and crosses the y-axis at (0, 0).
This means,
When x = -1.56, the minimum value of the function is y(min) = -6
And,
When x = 3, the minimum value of the function is y(min) = 0
Therefore, the graphed function has a local minimum of 0, when x = 3
That means, the interval which contains this value of x is [2, 4] because, x = 3 ∈ [2, 4]
Hence, the graphed function has a local minimum of 0 at [2, 4]
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Complete the table of values for y=x^2-x x -2 -1 0 1 2 3 y 0 2
Answer:
See table below
Step-by-step explanation:
y=x^2-x
x -2 -1 0 1 2 3
y ? ? ? 0 2 ?
completed table:
x -2 -1 0 1 2 3
y 6 2 0 0 2 6
Can someone please help me I really need help please help me thank you
Answer:
We can call the supplementary angle of x as (180 - x)°. Since the lines are parallel, 61° and (180 - x)° are congruent because they are alternate interior angles. We can write:
61 = 180 - x
-119 = -x
x = 119°
Select the correct answer from each drop-down menu. Simplify. √63
Answer:
√63 can be written as
√ 9 × 7 = √ 9 × √7 = 3 × √ 7
= 3√7
Hope this helps you
Answer: [tex]3\sqrt{7}[/tex]
Step-by-step explanation:
Separate [tex]\sqrt{63}[/tex] into [tex]\sqrt{7}[/tex] and [tex]\sqrt{9}[/tex]. Then simplify [tex]\sqrt{9}[/tex] into 3. Thus, the simplified version of [tex]\sqrt{63}[/tex] is [tex]3\sqrt{7}[/tex]
Which property of equality is used in solving x + 8 = 9?
Answer:
Subtraction Property of Equality.
Step-by-step explanation:
To solve x + 8 = 9, you need to subtract 8 from both sides of the equation. So, you would be using the Subtraction Property of Equality.
Hope this helps!
Answer:
subtraction property of equality
Step-by-step explanation:
x + 8 = 9
Subtract 8 from each side using the subtraction property of equality
x+8-8 = 9-8
x = 1
What is the measure of ABC? Please help, will give brainliest.
Answer:
Hello!
~~~~~~~~~~~~~~~~
Your answer would be (D) 60
~~~~~~~~~~~~~~~`~
Hope this helped you!
A man's basic wage for a 40-hour week
is $160.00. He is paid $5.00 per hour for
overtime. If he works 61/2 hours overtime
in a certain week, his wage for that week
is
Answer:
467.50
Step-by-step explanation:
do 61.5 times 5 to get 307.5 and add to 160 to get 467.50
Answer:
He earned $312.5 for that week
Step-by-step explanation:
Hello,
He earns $160 for 40 hours
And $5 per hour for every extra hour.
In a certain week, we work 61/2 hours as over time
1 hour = $5
61/2 hour = $x
x = [5 × (61/2)]
x = $152.5
He earned $152.5 on that week for overtime
Total amount he earned for that week = wage + overtime wage
Total amount = $160 + $152.5
Total amount = $312.5
The man earned $312.5 for that week
(02.01 MC) A talent show broadcast on television asks viewers to call in to vote for their favorite act. Describe how the design of the survey leads to bias. (4 points) Select one: a. A voluntary response error was made in this design. This type of sampling only targets people with phones to call in and is not a good representation of the population. b. A convenience sample error was made in this design. This type of sampling only targets people with televisions and is not a good representation of the population. c. A voluntary response error was made in this design. This type of sampling only targets those who are passionate about a specific act and call in to vote; it is not a good representation of the population. d. A convenience sample error was made in this design. This type of sampling only targets people with access to that television channel and is not a good representation of the population. Incorrect e. There are no potential areas of bias.
Answer:
Option D is correct.
A voluntary response error was made in this design. This type of sampling only targets those who are passionate about a specific act and call in to vote; it is not a good representation of the population.
Step-by-step explanation:
When humans are given the choice whether to participate in a survey like in this question, most often than not, the survey becomes biased.
This is because only the people or set of people who feel strongly the most about the subject matter of the poll will participate in the survey. This favours the group that disagrees as this group, if given the choice to express their opinion, will most likely be the set of people that will readily express their discontent.
Discontent is more visibly and strongly expressed in humans.
In order to remove this bias, people should have been chosen at random and their responses recorded.
Hope this Helps!!!
How are zeros, the vertex, and symmetry of a quadratic function interpreted in a context?
Answer:
The zeroes of a quadratic equation are the points on the graph where it lies on the x-axis.
The vertex is the point where it is the maximum or minimum value of x or y depending on the symmetry.
The symmetry is the line where it cuts the graph through the vertex of the graph dividing it into two equal parts that mirror each other.
The quadratic formula, factoring, and completing the square are the methods used to solve a quadratic equation.
f(x) + 7 shifts the graph 7 units up, f(x +7) shifts the graph 7 units to the left
Step-by-step explanation:
factor 20r+60t to identify the equivalent expression
Answer:
[tex]\boxed{20(r + 3t)}[/tex]
Step-by-step explanation:
[tex]20r + 60t[/tex]
Factor out 20 from the expression.
[tex]20(r) + 20(3t)[/tex]
Take 20 as common.
[tex]20(r + 3t)[/tex]
N a group of 39 students, 14 study both Art and Biology. 5 study Biology but not Art. 6 study neither subject. Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answer:
14/39 which is about 35.9%
Step-by-step explanation:
We have a total of 39 students and 14 of which study both Art and Biology
and the rest of the total is unimportant to the question. Since there are 14 students out of 39 we can now do the math and figure out that 14 divied by 39 is right about 35.9 percent.
Can you pick brainliest?
change 3/4 to decimal
Answer:
0.75
Step-by-step explanation:
Since we use the base 10 decimal system, first convert 3/4 to out of 100:
3/4 = 75/100
We divide 75 by 100 to get 0.75
The recipe calls for 3/8 cup of sugar and 1/8 cup of flour. Add:3/8+ 1/8 add the numerators only the answer is not 4/8
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8}+\frac{1}{8}=\boxed{\frac{4}{8}}[/tex]
If the answer is not [tex]\frac{4}{8}[/tex] then it's probably because that it's not in the simplest form.
[tex]\frac{4}{8} =\frac{4/4}{8/4}=\frac{1}{2}[/tex]
The answer would be a half cup total.
Brainilest Appreciated.
Answer:
The answer is 1/2
Step-by-step explanation:
Percentage is 50%
Dec. Is 0.50
Remeber to fond the GCF and divide both sides by it:
4/8 = the GCF is 4 so 4/4 is 1 , 8/4 is 2
=1/2.
find the volume and total surface area of a rectangular solid of dimensions 2cm by 3cmby 4cm
Answer:
volume-24 cm³
total surface area-12 cm²
Step-by-step explanation:
volume-2cmx3cmx4cm=24 cm³total surface area-3cmx4cm=12 cm²please help me with this question and I'll give u a brainlist for the correct ans. thank you
Answer:
least value of n =4
Step-by-step explanation:
i hope the screenshot of my work broken down step by step helps