Answer:
3/4 or 0.75
Step-by-step explanation:
Draw an equilateral triangle of perimeter 10 centimetres.
Answer:
See attachment for triangle
Step-by-step explanation:
Given
Shape: Equilateral triangle
[tex]Perimeter = 10cm[/tex]
Required
Draw the triangle
First, we determine the side lengths.
The perimeter of an equilateral triangle is:
[tex]Perimeter = 3 * Length[/tex]
So, we have:
[tex]10= 3 * Length[/tex]
Solve for Length
[tex]Length = \frac{10}{3}[/tex]
[tex]Length = 3.33[/tex]
See attachment for triangle
Does this limit exist? Show steps
Answer:
Yes, the limit does exist.
Step-by-step explanation:
By definition, a limit in the form:
[tex]\displaystyle \lim_{x\to a}f(x)[/tex]
Exists if and only if:
[tex]\displaystyle \lim_{x\to a^-}f(x)=\lim_{x\to a^+}f(x)[/tex]
We are given the limit:
[tex]\displaystyle \lim_{x\to 2}\frac{x^2+x-6}{x^2-4}[/tex]
So, in order to prove that this limit exists, we simply have to show that:
[tex]\displaystyle \lim_{x\to 2^-}\frac{x^2+x-6}{x^2-4}=\displaystyle \lim_{x\to 2^+}\frac{x^2+x-6}{x^2-4}[/tex]
Let's do the left-hand side first. We can factor the function:
[tex]=\displaystyle \lim_{x\to 2^-}\frac{(x+3)(x-2)}{(x+2)(x-2)}[/tex]
Simplify:
[tex]\displaystyle =\lim_{x\to 2^-}\frac{x+3}{x+2}[/tex]
By direct substitution:
[tex]\displaystyle =\frac{(2)+3}{(2)+2}=\frac{5}{4}[/tex]
Now, we can evaluate the right-hand side. Again, factor:
[tex]=\displaystyle \lim_{x\to 2^+}\frac{(x+3)(x-2)}{(x+2)(x-2)}[/tex]
Simplify:
[tex]\displaystyle =\lim_{x\to 2^+}\frac{x+3}{x+2}[/tex]
And by direct substitution:
[tex]\displaystyle =\frac{(2)+3}{(2)+2}=\frac{5}{4}[/tex]
Since both the left- and right-hand limits equal 5/4, our original limit does indeed exist.
A shopkeeper purchased 60 pencil boxes for 4.500 and sold at the rate of 4.125 for 50 pencil boxes. How
much profit present does he make on selling all the pencil boxes?
5%
7%
10%
12%
Answer: 10%
Step-by-step explanation:
Since the shopkeeper purchased 60 pencil boxes for 4,500, he purchased them at the rate of:
= 4500 / 60
= 85 per pencil box
If the shopkeeper sold them at the rate of 4,125 for 50 pencil boxes, then he sold them at the rate of:
= 4125 / 50
= 82.50 per pencil box.
Therefore the percentage profit will be:
= Gain / Cost price × 100
= (82.50 - 75) / 75 × 100
= 7.5/75 × 100
= 10%
Verify that triangle ABC is equal to DEF . Find the scale factor of triangle ABC to triangle DEF
Answer:
k = 6 : 5 : 4
Step-by-step explanation:
BC : AB : AC = 18 : 15 : 12 = 6 : 5 : 4
EF : DE : DF = 12 : 10 : 8 = 6 : 5 : 4
Neeed help plz urgent need to turn in this assignment
Answer:
The area of the shaded region of the figure in the exercise is:
27.98 [tex]in^{2}[/tex]Step-by-step explanation:
To obtain the area of irregular shapes, you can divide that shape in figure you know and you can obtain the area, first, we're gonna calculate the area of the right side and the left side with the formula below:
Area of a rectangle = base * height.Area of right rectangle = 1.6 in * 5.2 inArea of right rectangle = 8.32 [tex]in^{2}[/tex]How the left rectangle and the right rectangle have the same measurements, we can say:
Area of left rectangle = 8.32 [tex]in^{2}[/tex]You can see in the center there is a rectangle too, but you need just a half formed by a triangle, you can use two form for this: calculating the area of the triangle or calculating the area of the whole rectangle and next to divide in 2, we're gonna use the first:
Area of triangle = (base * height) / 2In the exercise, the base of the shaded triangle is 2.7 inches, and the height you must add the measurements in the right side:
Height of the triangle = 1.6 in + 5.2 in + 1.6 inHeight of the triangle = 8.4 inNow we replace in the formula:
Area of triangle = (2.7 in * 8.4 in) / 2Area of triangle = 22.68 [tex]in^{2}[/tex] / 2Area of triangle = 11.34 [tex]in^{2}[/tex]By last, you must add all the calculated areas from the shaded regions:
Area of the shaded region = 8.32 [tex]in^{2}[/tex] + 8.32 [tex]in^{2}[/tex] + 11.34 [tex]in^{2}[/tex]Area of the shaded region = 27.98 [tex]in^{2}[/tex]How many distinguishable permutations are there for the word SCIENCE?
Answer:
Step-by-step explanation:
= 7*6*5*4*3*2*1 = 5040.
Step-by-step explanation:
Step-by-step explanation:
= 7*6*5*4*3*2*1 = 5040.
Arlie is on an airplane that has traveled 420 miles in 3/4 of an hour. At this rate, how far will the airplane travel in the next 1/2 hour?
SOLVE FOR X AND Y!!! DUE IN 2 HOURS!!!
Answer:
x = 5, y = 5
Step-by-step explanation:
The scale changes from 8 to x+y
to find the change in scale, use the bottom values.
2 + 3 = 5 | 1 + 3 = 4
5/4 = 1.25 (the scale)
8 * 1.25 = 10
x+y = 10
There are 2 possibilities for this, but I feel like it is possibility #1
1. x = 5, y = 5
2. x = 4, y = 6
Find the measure of arc DHG
Answer:
128
Step-by-step explanation:
PLEASE RECHECK IF POSSIBLE I GOT 128 AS CIRCLE IS 360 and DIAMETER IS 180 ALSO 90 IS MARKED JUST RECHECH LET SOMEONE ELSE ALSO ANSWER.ALL THE BEST
HEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPP
Answer:
The volume of the tissue is 42 cubic inches
Step-by-step explanation:
Given
[tex]Base\ Area = 8.4in^2[/tex]
[tex]Height = 5in[/tex]
Required
The volume of the tissue
This is calculated as:
[tex]Volume = Base\ Area * Height[/tex]
So, we have:
[tex]Volume = 8.4in^2 * 5in[/tex]
[tex]Volume = 42in^3[/tex]
The rectangle below is show with dimensions in inches
Answer:21/64
Step-by-step explanation:
Do 3*7 to get 21
And 8*8 to get 64.
To multiply fractions you multiply the denominators together and then the numerators together
Evaluate the expression when y =7 and x = 9
X + 4y
The stock of Company A lost $1.90 throughout the day and ended at a value
of $36.10. By what percentage did the stock decline?
Answer:
5%
Step-by-step explanation:
36.10 + 1.90 = 38
1.9 / 38 = 0.05
0.05 x 100 = 5
Find d using a trigonometric ratio(no links I can’t click them)
Answer: 38 is your answer hope this helped
plz make brainly
Step-by-step explanation:
A recent report has shown that Nike's sneaker supply of the Air Jordan 1 was at 300,000
pairs in 2016. Because Nike wanted the Jordan 1 to be more of a rare shoe, the supply
of pairs started decreasing at a rate of 5% per year. At this rate, how many pairs of
Jordan 1s will be in production in the year 2030?
Answer: 90000 Pairs at 2030
Step-by-step explanation:
2030 - 2016 = 14
14 x 5 = 70
30% of 300k = 90000
What is the area of the green triangle?
Answer:
The answer is 65
Step-by-step explanation:
Formula for triangle: b x h x 1/2
base= 13cm height= 10cm
13 x 10 x 1/2 =65
The area of the green triangle is 65.
Maya keeps her bolts in a large box in her garage. The total number of bolts in the box, f(x), is determined by the number of models (x) that she builds. The graph below shows that this relationship is a linear function. Which of the following would be the largest possible value in the domain of Maya’s function?
4
10
11
12
Answer:
4
Step-by-step explanation:
The domain of a function consist of all possible values of x that will give us corresponding values of y.
From the graph given, the points plotted indicates on the x-axis that the largest possible value we can have on the x-axis which represents Maya's Domain function is x = 4.
4 is the highest domain of Mayas function.
What is the product of (6x^2 + 8)(3x^2 – 5x + 7)?
Answer:
x = 14 /3
Step-by-step explanation:
Answer: 18x^4 - 30x^3 + 66x^2 - 40x + 56
Find the slope of the line that passes through (10,8) and (1,9).
Answer:
[tex]-\frac{1}{9}[/tex]
Step-by-step explanation:
between (1, 9) and (10, 8), the x moves by 9 and y moves by -1
The slope is equal to: [tex]\frac{\Delta y}{\Delta x} = \frac{-1}{9} = -\frac{1}{9}[/tex]
Answer:
-1/9
Step-by-step explanation:
plug in the slope formula:
y-y
-----
x-x
=9-8
-------
1-10
=-1/9
what is the following product?
square root of 30 times the square root of 10
Step-by-step explanation:
That 'd be the square root of 300, which is equivalent to 10sqrt(3).
Factor completely 21x3 + 35x2 + 9x + 15.
Answer:
= ( 3 x + 5 ) ( 7 x² + 3 )
Step-by-step explanation:
What type of correlation is shown in the graph?
Answer:
no correlation
Step-by-step explanation:
it shows no trend or a line thing
also i think your pic is upside down haha
A 90% confidence interval for a proportion is found to be (0.37, 0.43). What is
the sample proportion?
A. 0.43
B. 0.39
C. 0.40
D. 0.41
Answer:
.4
Step-by-step explanation:
Sample proportion of 90% confidence interval for a proportion (0.37, 0.43) is 0.40 .
Thus option C is correct.
Given, A 90% confidence interval for a proportion is found to be (0.37, 0.43) .
Sample proportion - margin of error = 0.37
Sample proportion + margin of error = 0.43
Therefore, the sample proportion will.be the average of the values given above and this will be:
= (0.37 + 0.43)/2
= 0.80/2
= 0.40
Therefore option C is correct.
Know more about sample proportions,
https://brainly.com/question/32835750
#SPJ4
Answer the question asked. When necessary, round to the nearest hundredth.
A boat moves 6 kilometers upstream in the same amount of time it moves 20 kilometers
downstream. If the rate of the current is 6 kilometers per hour, find the rate of the boat in still water.
Answer:
0.555km p/h
shown as 555m p/h
Step-by-step explanation:
First we convert km to meters
6k = 6000m
Time = distance / rate.
20/6 = 3.33333333 = 3hr + ( 0.33 x 60 = 19.8) - 3.20hr
then 3.33 / 6 = 0.555 km = 555 meters p/h
HOW DO YOU FIND THE ARC OF A CIRCLE????
Answer:
1. Multiply the area by 2 and divide the result by the central angle in radians.
2. Find the square root of this division.
3. Multiply this root by the central angle again to get the arc length.
Step-by-step explanation:
Cherries cost $4.35 per pound and onions cost $0.98 per pound. Lacey has $21.45 to spend. How many pounds of cherries can Lacey afford if she has to buy 3 pounds of onions?
A certain disease has an incidence rate of 0.6%. If the false negative rate is 8% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.
Answer:
0.1562 = 15.62% probability that a person who tests positive actually has the disease.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Tests positive
Event B: Has the disease.
Probability of a positive test:
100 - 8 = 92% of 0.6%(person has the disease).
3% of 100 - 0.6% = 99.40%(person does not have the disease). So
[tex]P(A) = 0.92*0.006 + 0.03*0.994 = 0.03534[/tex]
Probability of testing positive and having the disease:
92% of 0.6%. So
[tex]P(A \cap B) = 0.92*0.006 = 0.00552[/tex]
Probability that a person who tests positive actually has the disease.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.00552}{0.03534} = 0.1562[/tex]
0.1562 = 15.62% probability that a person who tests positive actually has the disease.
A welcome mat in front of the hardware store is a half-circle. The straight side of the mat is 24 inches. What is the perimeter of the mat? Round to the nearest inch.
No links.
Answer:
To find the perimeter, we want to find the circumference of the whole circle, divide by 2, and add the 24 inches to get the total perimeter.
A semicircle is half a circle. If the straight edge of the semi circle is 24 inches, that makes the diameter of the full circle 24 inches as well.
To find the circumference of the full circle, we need the formula:
C = 2πr
Circumference = 2 x pi x radius
Radius is half of the diameter, so 12 inches.
C = 2 x pi x 12
C = 75.36 inches
75.36 is the circumference of a circle with a diameter of 24 inches. Divide this by two to get 37.68 inches, which is the length of the round part of the mat. Adding 24 inches for the straight side gives you the final answer, 61.68 inches, or ABOUT 62 inches.
Helppppppppppppppppppppp
How many millimeters are equal to one kilometer. Show your work
Answer:
1,000,000
Step-by-step explanation:
1mm=1e-6km
10mm=1e-5km
100mm=1e-4km
1000mm=000.1km
10000mm=0.01km
100000mm=0.1km
500000mm=0.5km
1000000mm=1km