Answers
Answer:
17
Step-by-step explanation:
Using the base angles theorem, [tex]x+4=4x+1 \implies x=1[/tex].
So, the perimeter is [tex]4(1)+1+1+4+7=17[/tex].
Related Questions
For the following two numbers, find two factors of the first number such that their product is the first number and their sum is the second number. 70, 17
Answers
Answer:
7, 10
Step-by-step explanation:
First, you can list out the factors of 70: 1 x 70
2 x 35
5 x 14
7 x 10
You can immediately see that the only factor pair that adds up to 17 is 7 and 10, so the answer is 7 and 10.
zoe is using a 72 foot ladder to reach the top of a 60 foot building, what is the distance from the bottom of the ladder to the base of the building?
Answers
The distance from the bottom of the ladder to the base of the building is 39.6ft.
What is the Pythagorean theorem in plain English?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.
This is a question about the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.
We can call the distance from the bottom of the ladder to the base of the building as x, and the distance between the ladder base and the building as the ladder's height = h.
By using Pythagorean theorem: x^2 + h^2 = 72^2 , the distance from the bottom of the ladder to the base of the building is x = √(72^2 - 60^2) = √(5184 - 3600) = √1584 = 39.6 ft.
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PLease help
On a map with a scale of 1 in = 30 mi , the distance between Norsville and Cheertown is 4 1/2 in What is the actual distance, to the nearest mile, between the towns?
A) 105 mi
B) 135 mi
C) 112 mi
D) 156 mi
Answers
If on a map with a scale of 1 in = 30 mi , the distance between Norsville and Cheertown is 4 1/2 in . The actual distance, to the nearest mile, between the town is B) 135 mi.
How to find the actual distance?Using this formula to find the the actual distance, to the nearest mile, between the towns
Actual distance = Scale of 1 in × Cheertown
Where:
Scale of 1 in =30 mi
Cheertown = 4 1/2 or 4.5
Let plug in the formula
Actual distance = 30 mi × 4.5
Actual distance = 135 mi
Therefore we can conclude that the correct option is B.
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Answer:
B
Step-by-step explanation:
if BCF ~ BDE solve for x
Answers
The value of x is 10
What are similar triangles?
If two triangles' corresponding angles and sides are identical and their corresponding sides are proportional, or if the ratios between the lengths of the corresponding sides are comparable, then two triangles are said to be similar.
Similar triangles are triangles with the same shape but different sizes. Examples of related objects are all equilateral triangles and squares with any side length.
BC/BD = BF/BE
52/(52+39) = 56/(56+5x-8)
52/91 = 56/(48+5x)
4/7= 56/(48+5x)
1/7=14/(48+5x)
48+5x = 98
5x= 50
x=10
The value of x is 10
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16.1 is what percent of 32? Round to the nearest thousandth.
Answers
Answer: 16.1 is 50.312% of 32
16.1 is approximately 50.313% of 32. This is found by creating a ratio of 16.1 to 32, converting that ratio into a percentage, and then rounding to the nearest thousandth.
Explanation:To find out what percent 16.1 is of 32, we first need to create a ratio.
The ratio will be 16.1/32. We can then convert this ratio into a percentage by multiplying the result by 100. So:
Percentage = (16.1 / 32) x 100
After calculating the above, we will find that 16.1 is approximately 50.313% of 32 when rounded to the nearest thousandth.
To find what percent 16.1 is of 32, you can use the formula:
Percent = (Part / Whole) * 100
In this case, the Part is 16.1 and the Whole is 32. Substitute these values into the formula:
Percent = (16.1 / 32) * 100 = 50.3125%
Rounding to the nearest thousandth, the answer is approximately 50.313%.
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4y^2+4(2y^2-8)=
How to combine like terms
Answers
Answer:
12y² - 32
Step-by-step explanation:
4y² + 4(2y² - 8) = 4y² + 8y² - 32 = 12y² - 32
someone please help me I am stuck on these 2 questions
Answers
…………………………………Answer:
Step-by-step explanation:
What is a point-slope equation of the line with slope 3 that goes through the point (-2, 8)?
Answers
The point-slope equation of the line is: y - 8 = 3(x + 2).
How to Write the Point-slope Equation of a Line?The point-slope form of a line is given by the equation y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.
Given the slope of the line is 3 and the point (-2, 8) lies on the line, we can substitute these values into the point-slope form to find the equation of the line.
y - 8 = 3(x + 2)
Simplifying, we can rewrite in slope-intercept form as:
y = 3x + 14
Therefore, the point-slope equation of the line with a slope of 3 that goes through the point (-2, 8) is y - 8 = 3(x + 2).
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Read the excerpt from "Healthy Eating."
But no one can ignore the damage being wrought by all this bad eating. More than one out of three adults in the United States -- 37.5 percent -- are obese, according to the Centers for Disease Control and Prevention. Some of the leading causes of death -- heart disease, stroke and type 2 diabetes -- are directly linked to obesity. And childhood obesity has tripled in the last 30 years. With more than a third of kids between 6 and 19 considered obese, the CDC reports, they are at substantially more risk for developing cardiovascular disease, diabetes, bone and joint conditions, and cancer.
PLS HELP.
Which statement best describes the author's argument in this part of the article?
Eating a poor diet can have harmful effects on people's health.
Eating healthier foods is not as easy as some might think.
Children should be required to maintain a healthy diet.
Eating habits have changed significantly in recent years.
Answers
Answer:
A
Step-by-step explanation:
Eating a poor diet can have harmful effects on people's health.
Answer:
A. Eating a poor diet can have harmful effects on people's health.
Step-by-step explanation:
right on edge
Round the underlined digit to its nearest place value: 84.68=
Answers
Answer:
84.68
Rounded to the nearest 0.01 or
the Hundredths Place.
Step-by-step explanation:
84.68_
You rounded to the nearest hundredths place. The 8 in the hundredths place rounds down to 8, or stays the same, because the digit to the right in the thousandths place is _.
84.68
When the digit to the right is less than 5 we round toward 0.
84.68 was rounded down toward zero to 84.68
Light travels about `180000000` kilometers in `10` minutes.
How many kilometers per second?
Answers
Answer: 300000 km per second
Step-by-step explanation:
180000000 km for 10 min
10 min = 600 seconds
180000000/600 = 1800000/6 = 300000 km per second
Answer: 300000 kilometers per second
Step-by-step explanation: if it travels 180000000 in 10 minutes and 19 divided by 10 is 1 minute and a minute divided by 60 is a second than 180000000 divided by 10 than 60 is your answer
Jose volunteered for a total of 34.4 hours. If he volunteered for 0.4 hours each day, for how many days did he volunteer?
Answers
For 86 days Jose had volunteered.
What are equivalent ratios?
The ratios that are same when compared are called equivalent ratios. The equivalentity of two or more ratios can be determined by comparing them to one another. For instance, 1:2 and 2:4 have the same ratio.
A unit rate is a cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.
Let x be the total days
equate the ratios of days and hours as shown:
x/34.4 = 1/0.4
=> x= 34.4/ 0.4 = 86
So, for 86 days Jose had volunteered.
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Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving at a constant rate of 50 mi/h. Complete the function that models the distance they drive as a function of time. Then complete a reasonable domain for this situation.
function notation in slope-intercept form: f(x) =
reasonable domain:
≤ x ≤
Answers
The function that models the distance they drive as a function of time is; 120 = 50t + 20
The required domain is;. 0 ≤ t ≤2
How to find the domain of the function?The formula for calculating distance travelled is expressed as:
Distance = Speed × time
The parameters are;
Total distance = 120 miles
Distance already travelled = 20miles
They are driving at a constant rate of 50mi/hr. Thus, the distance travelled at the time "t", during this period will be 50t.
The equation of a line in slope intercept form is;
y = mx + c
Thus,
The required function that models the distance is expressed as;
120 = 50t + 20
To find the domain, we need to get the value of t as shown;
120 = 20 + 50t
120 - 20 = 50t
100 = 50t
t = 100/50
t = 2sec
Hence the required domain must be within the range of 0 and 2.
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5. A food company designs a cylindrical can that will be used for beans. The net of the cylinder is shown.
What is the approximate surface area of the cylindrical can, using 3.14 for π? Round to the nearest hundredth if necessary. PLEASE HELP ME DUE I BEG THANK U
Answers
Answer:
Should be 87.92 inches
Step-by-step explanation:
First calculate the circumference of the circle - this is the length of the rectangle. The rest should be straight forward.
C = 2πr
= 2 * 3.14 * 2
= 12.56
A(circle) = πr^2
= 3.14 * (2)^2
= 12.56
A(rectangle) = lw
= 12.56 * 5
= 62.82
SA = area of rectangle + area of circle + area of circle
= 62.82 + 12.56 + 12.56
= 87.92
Newton and Descartes have a 70-day summer vacation. They go to camp for 23/70 of their vacation, and they travel for 6/35 of their vacation. They stay home the rest of their vacation. How many weeks do Newton and Descartes spend at home?
Answers
5 weeks do Newton and Descartes spend at home. This can be solved using the concept of fractions.
What is fractions?In mathematics, the portion or component of the complete item is represented by a fraction. It stands for the equal components of the whole. Both the numerator and denominator are components of a fraction. The top number is referred to as the numerator, while the bottom number is referred to as the denominator.
Given that,
Newton and Descartes have a 70-day summer vacation
They go to camp for 23/70 of their vacation
= 70 × (23/70)
= 23
Next, they travel for 6/35 of their vacation
= 70 × (6/35)
= 12
So, they stay home the rest of their vacation
= 70 - 23 - 12
= 35
Now, they stay home (35 ÷ 7) = 5 weeks.
Therefore, 5 weeks do Newton and Descartes spend at home.
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The function f(x) = 9x + 27 represents the distance in miles a drone flew. The function g(x) = x + 3 represents the time the drone flew in hours. Part A: Find f(4) and g(4). Show your work. (2 points) Part B: Find f divided by g of 4. Show your work. (2 points) Part C: What is the domain of f divided by g of x? (2 points)
Answers
Answer: A. Part A:
f(4) = 9x + 27 = 9(4) + 27 = 36 + 27 = 63
g(4) = x + 3 = 4 + 3 = 7
B. Part B:
f(x) / g(x) = (9x + 27) / (x + 3) = 9
f(4) / g(4) = 63 / 7 = 9
C. Part C:
The domain of f(x) / g(x) is all real numbers except x = -3, because dividing by zero is undefined. The domain of f(x) / g(x) is all real numbers except x = -3.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Part A: f(4) = 63, and g(4) = 7.
My work for Part A:
Step 1: Write the first function substituting x for 3: f(4) = 9 x 4 + 27.
Step 2: Solve the function: f(4) = 9 x 4 = 36, and 36 + 27 = 63.
Step 3: Write the final answer for the first function: f(4) = 63.
Step 4: Write the second function substituting x for 3: g(4) = 4 + 3.
Step 5: Solve the function: g(4) = 4 + 3 = 7.
Step 6: Write the final answer for the second function: g(4) = 7.
Part B: (f/g)(4) = 9.
My work for Part B:
Step 1: Using the numbers from Part A, simply divide f(4) by g(4) to get (f/g)(4): 63/7 = 9.
Step 2: Write the final answer of (f/g)(4): (f/g)(4) = 9.
Part C: The domain of (f/g)(x) is -3 < x ≤ ∞. So, any numbers greater than -3 and less than or equal to infinity, are possible solutions to this function. Therefore, -2, 3, 7, and many more numbers greater than -3 are possible solutions.
The test scores for a math class are shown below. 81, 85, 82, 93, 85, 84, 95, 87, 88, 91 39. What are the mean, median, and mode of the data set?
Answers
85
+
87
2
85
+
87
2
Remove parentheses.
85
+
87
2
85
+
87
2
Add
85
85
and
87
87
.
172
2
172
2
Divide
172
172
by
2
2
.
86
86
Convert the median
86
86
to decimal.
86
What is 31% of 425??
Answers
$4 MATHS BUSINESS MATHS EXERCISE A radio whose cash price is Shs 180,000 can also be bought on hire purchase paying a deposit of 35% of the cash value followed by 6 equal monthly instalments of Shs 24,500. Find the () hire purchase price of the radio () extra amount paid over the cash price using hire purchase
Answers
The extra amount paid is 30000 where total amount paid is 210000 where as the the actual amount be 180000 .
What is percentage?
percentage can be defined as the product of ratio of given value , total value and hundred.
Given ,
A radio whose cash price is 180,000 can also be bought on hire purchase paying a deposit of 35% of the cash value followed by 6 equal monthly instalments of 24,500
The 35% of 180,000 = 35/100 * 180000
= 63000
So, the amount to paid over 6 months of 24500
amount could be = 6 * 24500
= 147000
So, the total amount paid = 63000 + 147000
= 2, 10, 000
The total amount paid is 210000 where as the the actual amount be 180000 which is paid more that is 30000
Hence, The extra amount paid is 30000 where total amount paid is 210000 where as the the actual amount be 180000 .
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Determine if the triangles in each pair are similar. If so, write a similarity statement and state whether AAA, SAS, Or SSS
Answers
By the Angle - Angle - Angle criteria both ΔDEF and ΔSTR are Similar to each other.
Similar triangles:Two triangles are said to be similar triangles if all three corresponding angles are equal or if all three sides are equal. The symbol "∼" is used to represent the similarity between two triangles.
AAA Similarity Criterion for Two Triangles:
When three angles in two triangles are equal then the two triangles are said to be similar triangles.
Here we have
ΔDEF and ΔSTR
From ΔDEF
∠D = 46° and ∠E = 46°
As we know the sum of angles in a triangle = 180°
=> ∠D + ∠E + ∠F = 180°
=> 46° + 46° + ∠F = 180°
=> ∠F = 180 - 46 - 46
=> ∠F = 88°
Similarly, In ΔSTR
=> ∠ T = 88°
Thus,
Three corresponding angles of ΔDEF and ΔSTR are equal
Therefore,
By the Angle - Angle - Angle criteria both ΔDEF and ΔSTR are Similar to each other.
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NEED HELP ASAP PLS AND THX Picture is attached
Answers
The figure identifies as Ray.
What is ray?
A ray is a segment of a line where one point is fixed and the other has no defined end. It denotes that a ray has one terminating end and an indefinitely long other end.
In mathematics, a ray is a segment of a line with a fixed starting point but no ending. It can go on forever in a single direction. A ray cannot be measured since it has no end point.
Here the given figures ,
A is the fixed point and another end of the line is not have any ending point, We can't measure the length of the line because it has endless ending.
Hence the given figure is Ray.
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Q2: Determine whether the graphs of each pair of equations are parall
perpendicular or neither.
1. y = 3x + 4
y = 3x + 7
3. y = 2x-5
y = 5x -5
5. y = 3/5x - 3
5y = 3x - 10
7. y = 7x + 2
x + 7y=8
2. y = -4x+1
4y = x + 3
4. y=-1/3x + 2
y = 3x - 5
6. y = 4
4y = 6
8. y = 5/6x - 6
x + 5y = 4
Answers
Answer:
x+5y = 4 i think its the answer but I'm not sure
What is the perform indicated operation for 1 1/7×2 4/5
Answers
Answer: 16/5 or 3.2 or 3 and 1/5
Step-by-step explanation:
What is the value of x?
Answers
HELP IM BEGGING!!!!!
Answers
Answer: 20
Step-by-step explanation: if there is a ratio of 3:2 flowers and there are 12 lilies then 12 divided by the 3 from 3:2 is 4 meaning to find the number of daisies we need to multiply by 4, the 2 from 3:2 is multiplied by 4 which makes it 8 since there are 12 lilies and 8 daisies then 12 + 8 = 20 there are 20 flowers
Find equation of the line that passes through the point a and point b
A=(4,7) B=(
2,3)
Answers
Answer:
y = 2x - 1
Step-by-step explanation:
A = (4,7)
B = (2,3)
Use slope formula [tex]\frac{(y2 - y1)}{(x2 - x1)}[/tex]:
[tex]\frac{3 - 7}{2 - 4}[/tex]
[tex]\frac{-4}{-2}[/tex]
2 is our slope
Solve for b by plugging in both values for either coordinate or A and B. I will use coordinate B for this answer.
y = 2x + b
3 = 2(2) + b
3 = 4 + b
-1 = b
Our final equation is [y = 2x - 1]
Problem No. 4 300 is divided into 4 parts such that the first integer number is twice the second, three times the third and four times the fourth. What is the value of the largest of these numbers?
Answers
Ratio of 4:3:2:1
1+2+3+4=10
300/10=30
120:90:60:30
What is the sum of the measures of the interior angles of a 12 sided polygon?
Answers
Answer: The sum of the measures of the interior angles of a polygon can be found using the formula:
(n-2) * 180
Where n is the number of sides in the polygon.
For a 12-sided polygon (dodecagon), the sum of the measures of the interior angles would be:
(12-2) * 180 = 10 * 180 = 1800 degrees
Step-by-step explanation:
solve: −53x+0.5x=−14−38.5
Answers
Answer: x=1
Step-by-step explanation:
Add\:similar\:elements:-53x+0.5x=-52.5x
Subtract\:the\:numbers:-14-38.5=-52.5
Multiply\:both\:sides\:by 10
Refine
Divide\:both\:sides\:by -525
Simplify
x=1
NO LINKS!! Use the diagram to name each of the following pairs of angles. If the name doesn't exist, say "none". Part 2
f. <1 and <6
g. <2 and <3
h. <7 and <16
i. <2 and <10
j. <7 and <13
Answers
Answer:
f) Same-side exterior angles
g) Vertical angles
h) None
i) Corresponding angles
j) Same-side interior angles
Step-by-step explanation:
Part f∠1 and ∠6 are same-side exterior angles.Same-side exterior angles
When two lines are intersected by a transversal, the angles that are exterior to the two lines and on the same side of the transversal line are called "same-side exterior angles".
Part g∠2 and ∠3 are vertical angles.Vertical angles
When two straight lines intersect, two pairs of opposite vertical angles are formed.
Part h∠2 and ∠3 - NonePart i∠2 and ∠10 are corresponding angles.Corresponding angles
When two lines are intersected by a transversal, the angles that are in the same relative position are called "corresponding angles".
Part j∠7 and ∠13 are same-side interior angles.Same-side interior angles
When two lines are intersected by a transversal, the angles that are interior to the two lines and on the same side of the transversal line are called "same-side interior angles".