Answer:
17
Step-by-step explanation:
Let x be the first side
x+2 is the next side ( consecutive odd number)
x+4 is the third side ( consecutive odd number)
P = x + x+2 + x+4
45 = x + x+2 + x+4
Combine like terms
45 = 3x+6
Subtract 6 from each side
45-6 = 3x+6-6
39 = 3x
Divide by 3
39/3 = 3x/3
13 =x
The longest side is
x+4
13+4 = 17
The longest side is 17
The longest side is 16.
Let the consecutive sides be y, y+1, and y+2.
The perimeter of a triangle is gotten by adding all its sides. Therefore, the perimeter will be:
y + y+1 + y+2 = 45
Collect like terms
3y = 45 - 3
3y = 42
Divide both side by 3
3y/3 = 42/3
y = 14
Therefore, the longest side will be:
y + 2 = 14 + 2 = 16
The longest side is 16.
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https://brainly.com/question/13978159
Ron randomly pulls a pen out of a box that contains 1 red, 2 black, and 3 blue pens. He does
this 4 times, replacing the pen each time, but pulls out a blue pen only 1 time. Ron concludes
that the observed frequency of pulling a blue pen will eventually be closer to the expected
frequency based on the theoretical probability of pulling a blue pen. Which reasoning best
supports his conclusion?
Answer:
The more experiments that are done, the more the theoretical trend is marked
Step-by-step explanation:
The first thing is to define each probability,
-Theoretical probability is a proportion that expresses the ways to be successful in the total events of an experiment.
-Experimental probability is the proportion of the proposed result for the number of experimental attempts.
Based on this, the reason that best supports this is that the more the experiment is repeated, the closer the experimental probability gets to the theoretical one, since as the number of attempts increases, it tends to go more to what theoretically is what would happen.
There are 24 students in the class. If 12 of them enrolled to the French courses, 13 of them to the Spanish and 7 of them take neither, what is the probability that a randomly-chosen student from this group is taking only the French class?
Answer:
1/6 = 0.1667 = 16.67%
Step-by-step explanation:
If there are 24 students in the class and 7 of them take neither courses, we have 17 students that take one or both courses.
To find the students that took both courses, we can use the formula:
N(Spanish or French) = N(Spanish) + N(French) - N(Spanish and French)
17 = 13 + 12 - N(Spanish and French)
N(Spanish and French) = 8
Then, the number of students that are taking only French is:
N(only French) = N(French) - N(Spanish and French)
N(only French) = 12 - 8 = 4
So the probability of chosing a student that took only French is:
P(only French) = N(only French) / N(total)
P(only French) = 4 / 24 = 1/6
13. Find the measure of ZABC. Show your work.
Answer:
47°
Step-by-step explanation:
In the picture attached, the problem is shown.
When two secants intersect at a point, the angle made is one-half of the difference between the greater arc and the minor arc formed. In this case:
∠ABC = 1/2*(arc DE - arc AC)
Replacing with data from the picture:
∠ABC = 1/2*(142° - 48°)
∠ABC = 47°
A pair of dice is rolled.
Find the probability of showing divisors of 12 on both dice.
Answer:
25/36
Step-by-step explanation:
The dicisors of 12 on a die are 1,2,3,4,6
So 5/6 per die
5/6*5/6 = 25/36
Help!
1.1 × 10 to the power of 5 + 4 × 10 to the power of 8 = (answer) × 10 (answer)
Answer:
[tex] 4.0011 \times {10}^{8} [/tex]
Step-by-step explanation:
[tex]1.1 \times {10}^{5} + 4 \times {10}^{8} \\ \\ = 1.1 \times {10}^{5} + 4000 \times {10}^{5} \\ \\ =4001.1 \times {10}^{5} \\ \\ = 4.0011 \times {10}^{8} [/tex]
7. The largest of the Great Pyramids in Egypt was built with a square base,
having edges that measured 754 feet and a height of 481 feet. Today, after
years of erosion, the base edges are 745 feet and its height is 471 feet. To the
nearest cubic foot, find the difference between the original and current
volumes of the pyramids.
Please show work
Answer:
Difference between the original and current volumes = 4013140.30 cubic feet
Step-by-step explanation:
Largest pyramid has the square base with one edge = 754 feet
Area of the square base = (Side)²
= (754)²
= 568516 square feet
Volume of the pyramid = [tex]\frac{1}{3}(\text{Area of the base})(\text{Height})[/tex]
= [tex]\frac{1}{3}\times 568516\times 481[/tex]
= 91152065.3 cubic feet
After erosion,
Area of the base = (745)² = 555025 square feet
Volume of the pyramid = [tex]\frac{1}{3}(555025)(471)[/tex]
= 87138925 cubic feet
Difference between the original and current volumes of the pyramid
= 91152065.30 - 87138925
= 4013140.30 cubic feet
Data is another word for fraction.
True
False
Answer: False
Step-by-step explanation:
On a map of Braxton County, the library is located at (–3, –7). The hospital is located 5 units west of the library. What ordered pair represents the location of the hospital?
Answer:
(-8,-7)
Step-by-step explanation:
assuming that the top part of the y-axis is north and the bottom part is south
we know west is to the left and that means -5 so -3-5=-8 meaning our coordinate is (-8,-7)
Solve the equation using square roots.
[tex]x^{2} -16= -16[/tex]
Answer:
x = 0
Step-by-step explanation:
x² -16 = -16
x² = - 16 + 16
x² = 0
√x² =√0
x = 0
Solve for x. x/7=-3
-21
-10
4
21
Answer:
D 21
Step-by-step explanation: x/7 = 3
isolate x by multiplyig both sides by 7: (7)(x/7) = (3)(7)
x = 21
Using a = 20, b = 15
and c = 25, is triangle
ABC a right triangle?
Yes
No
Answer:
Yes
Step-by-step explanation:
400+225=625
625=25^2
What’s (5-4)(1)
Show work
Give good explanation
Answer:
1
Step-by-step explanation:
5-4=1 and assuming that by (1) you or your teacher means times 1 so 1 times 1 is one
HELP PLS ASAP WILL MARK BRAINLIEST
Answer:
B. 4
Step-by-step explanation:
Since d=√[7-3]2+[8-8]2
Use the net to calculate the surface area.all measurements are in 1 cm squared.
PLEASE HELP ME!!!
Answer:
0.999999032256
Step-by-step explanation:
Link is coloring a triforce, which consists of four equilateral triangles and is depicted below. He has three colors to use: gold, black, and green. So that it remains recognizable, he doesn't want to color any two triangles the same color if they share a side. How many different ways can he color the triforce? (Two colorings that differ by rotation are considered distinct.)
Answer:
.
Step-by-step explanation:
.
-6p (p4- 8) what’s the answer ?
Answer:
-6p^5+48p
Step-by-step explanation:
-6p (p^4- 8)= -6p^5+48p
Solution,
-6p(p^4-8)
= -6p^5+48p
Hope it helps
good luck on your assignment
A store sells six-packs of soda for $3.00 a six pack. If this relationship is graphed with the number of cans of soda on the x-axis and the cost on the y-axis, what is the slope of the graph in dollars per can?
A 3
B 2
C 3/4
D 1/2
Answer:
D: 1/2
Step-by-step explanation:
3/6 is .5 which means each can is .50 cents
Peter buys a house that costs $100,000. If the
house loses 5% of its value each year, to the
nearest dollar, what will be the value of the
house after 6 years?
(A) $63,025
(B) $66,342
(C) $69,834
(D) $73,509
(E) $77,378
Answer:
None of these, it's $70,000.
Step-by-step explanation:
5% of $100,000 is $5,000
$5,000 · 6 (# of years) = $30,000
$100,000 - $30,000 = $70,000
Solve for x:
7 : x = 21 : 24
Answer:
8
Step-by-step explanation:
Multiply the right side by 3
3x = 24
x = 8
Answer:
x=8
Step-by-step explanation:
24 × 7 = 21 × X
168 = 21× X
168/21 = X
8 = X
The Bilbo Company plans to manufacture decals for children's lunchboxes. Each decal
would cover one rectangular side of a lunchbox, as shown in the figure above. Which of
the following expressions gives the area, in square inches, of the decal, in terms of a and
Answer: 1 -2ax²+2x-ax
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a rectangle: length x width
Replacing with the values given:
A = (2x+1) (1-ax)
A = [2x(1)] + [2x(-ax)] +[ 1(1)]+ [1 (-ax)]
A = 2x- 2ax² +1- ax
A = 1 -2ax²+2x-ax
In conclusion, the correct option is 1 -2ax²+2x-ax
Feel free to ask for more if needed or if you did not understand something.
BD is the perpendicular bisector of triangle ABC , and BD is a shared side of triangle ABD and triangle CBD . Which of the following must be congruent in order to verify that triangle ABD cong triangle CBD
Answer:
Option D is correct answer AD and CD are congruent
Step-by-step explanation:
because BD is bisector of AC
so AD = CD
Answer:
Yes option D
Step-by-step explanation:
If you measure AD and DC they will be the same length
The ratio of men to women in a sports league is 46 to 54. What percent of the sports league are women?
A. 5%
B. 10%
C. 20%
D. 25%
How do you translate "the sum of 5 and the product of a number times 3"?
Answer:
5+ 3x
Step-by-step explanation:
Which of these expressions is equivalent to log9 10? A) log 9 B) log 19 C) 1 log 9 D) 1 log 19
Which is the simplified rational expression
Please answer correctly my grade depends on it
Answer:
The answer is B.
Step-by-step explanation:
Since they all have a common denominator, you can group the numerators together. Therefore, we have...
[tex]\frac{(9x-5)+(3x-8)-(5x+3)}{4x-1}[/tex]
Now, we simply need to simplify.
[tex]=\frac{9x-5+3x-8-5x-3}{4x-1} =\frac{7x-16}{4x-1}[/tex]
This cannot be simplified further.
PLS I NEED HELP
A circular field is set into a square with an 800 m side length. Estimate the field's area.
A square where the vertical distance is labeled 800 meters.
About 5,000 m2
About 50,000 m2
About 500,000 m2
About 5,000,000 m2
About 50,000,000 m2
Answer:
c = 500,000
This is 6 digit number with 5 zero's.
We just multiply the radius ^2 by pi
D = 800m R = 400
R^2 = 400 x 400 = 160000
A = 160000π = 502654.824574
We estimate from 160000 and just count the 0's on multiplication as long as the 10's don't change in that estimation.
we can show the workings as the counting loops under the 6 and 0's of 160000. = 5 units+ 1.
= 500,000 m^2
1 [- - - - -} = 500000
someone help plss- simplify the expression
Answer:
27 x^21
Step-by-step explanation:
(3x^7)^3
We know that (ab)^c = a^c b^c
3^3 x^7^3
27 x^7^3
We know that a^b^c = a^(b*c)
27 x^(7*3)
27 x^21
James wants to build a wooden planter box for his garden with a volume of 100 cubic feet. If he constructed the planter with a height of 2 feet and a width of 5 feet, what should the length of the planter be, in feet?
Answer:
The length of the box is 10 feet.
Step-by-step explanation:
You have to work backwards to find volume, so just divide the volume (100) by the height (2) then divide that by the width (5) and you get your answer, 10
What is the slope of a line PARALLEL to the graph?
es
A)-3
B)0
C)3
D)-1/3
Answer:
C) 3
explanation:
parallel lines never touch, they are the same slope with different y-intercepts.
Right here the slope is 3, which means the slope is going to be 3
As a rule, parallel lines will always have the same slope.
The || symbol represents "parallel".
So if the slope of a line is parallel to this graph, the line
must have a slope of 3 since this line has a slope of 3.
As a quick review, remember that slope describes how steep a line is.
It can be found using the ratio rise/run between
any two points that are on that line.
5
Select the correct answer.
Which financial term refers to a reduction in the price of a product in order to obtain a response from consumers?
ОА
loan
OB.
discount
OC.
interest
OD
investment
Answer:
Discount.
Explanation:
I took the test.
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