Answers
Answer:
AB=18 units.
Step-by-step explanation:
So, one of the angle measures is 6x. Since the shape is an equilateral triangle, this means that all the angles measure 6x. In other words, the total measure of the three angles is 6x+6x+6x=3(6x) or 18x. Recall that a triangle has a total interior angle sum of 180. Therefore, set 18x to 180 and solve for x:
[tex]18x=180\\[/tex]
Divide both sides by 18:
[tex]x=10[/tex]
Therefore, x is equal to 10.
Now, since this is an equilaterial triangle, all three side lengths are the same. Thus, AB=BC=AC. We know that BC is equal to x+8. Find BC:
[tex]BC=x+8\\BC=(10)+8\\BC=18[/tex]
And since all the side lengths are equivalent, this means that side AB is also 18 units.
Answer:
See below.
Step-by-step explanation:
The 3 angles in the triangle add up to 180 degrees
Also, as all 3 sides are equal, all 3 angles are also equal and each has the value 180/3 = 60 degrees.
So 6x = 60
x = 10.
Now AB = BC = x + 8
Therefore AB = x + 8
= 10 + 8
= 18.
Related Questions
Astrid is in charge of building a new fleet of ships. Each ship requires 404040 tons of wood, and accommodates 300300300 sailors. She receives a delivery of 444 tons of wood each day. The deliveries can continue for 100100100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 210021002100 sailors.
Answers
To build the fleet of ships, Astrid must consider each of the given rates (i.e. the daily tons of wood, the sailors per ship, etc.). The available deliveries are enough to build ships that can accommodate at least 2100 sailors.
Given that:
Required quantities
[tex]Wood = 40\ tons[/tex]
[tex]Sailors = 300[/tex] per ship
Available quantities
[tex]Wood = 4\ tons[/tex] daily
[tex]Days = 100[/tex] at most
First, we calculate the total tons of woods Astrid can receive.
[tex]Total = Days \times Wood\ Available[/tex]
[tex]Total = 100 \times 4[/tex]
[tex]Total = 400\ tons[/tex] ---- in 100 days
Next, we calculate the number of ships that can be made from the 400 tons.
[tex]Ships = \frac{Total\ tons}{Wood\ Required}[/tex]
So, we have:
[tex]Ships = \frac{400}{40}[/tex]
[tex]Ships = 10[/tex]
This means that Astrid can build up to 10 ships
The number of sailors the ship can accommodate is:
[tex]Sailors = Ships \times Sailors\ per\ ship[/tex]
So, we have:
[tex]Sailors = 10 \times 300[/tex]
[tex]Sailors = 3000[/tex]
It means the 10 ships can accommodate 3000 sailors.
3000 sailors is greater than 2100 sailors.
So, we can conclude that she can build enough ship for the 2100 sailors.
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Answer:
280 tons
Step-by-step explanation:
:)
Find the distance between the points A(13, 2) and B(7, 10). The distance between the two points is
Answers
Answer:
The answer is 10 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question , the points are
A(13, 2) and B(7, 10)
The distance between them is
[tex] |AB| = \sqrt{( {13 - 7})^{2} + ({2 - 10})^{2} } \\ = \sqrt{ {6}^{2} + ( { - 8})^{2} } \\ = \sqrt{36 + 64} \\ = \sqrt{100} [/tex]We have the final answer as
10 unitsHope this helps you
$10,000 for 20 years at 5% compounded annually
Answers
Answer:
$26532.98
Step-by-step explanation:
Given:
Principal = $10000Profit rate = 5% PA compoundedTime = 20 yearsCompounds = 20*1 = 20Sum is:
10000*(1 + 5/100)²⁰ ≈ 26532.98Complete the statement to describe the expression abc + defabc+defa, b, c, plus, d, e, f. The expression consists of terms, and each term contains factors.
Answers
Answer:
The expression consists of 2 terms and each terms contains 3 factors.
Step-by-step explanation:
Given the expression (abc)+(def), the description of the expression is as shown:
The expression consists of 2 terms and each terms contains 2 factors.
Terms are expressions connected by mathematical signs such as addition and subtraction sign. As we can see from (abc)+(def), 'abc' and 'def' are separated by addition signs therefore both abc and def are the "terms" of the expression.
Factors are variables connected using the multiplication or bracket signs. As we can see, each term contains 3 factors. Looking at the first term 'abc', we can see that there are 3 variables/factors (a, b and c) multiplied together. This shows that they are connected by multiplication signs and same goes with 'def'.
Hence, the expression consists of 2 terms and each terms contains 3 factors.
The statements of expression.
As per the question, the statement which tells us about expression consists of 2 terms, and each term is 3 factors. As per the expression of the ABC and DEF describes expression of 2 terms and each term contains 2 factors.
Hence the answer is 2 terms and 3 factors.
The terms of the expressions are linked by mathematical signs such as addition and the subtraction signs. The factor is variables joined using the multiplication signs. In each term contains the 3 factors are found. Looking at the first term ABC, we can see that there are 3 variables like a, b, and c that are multiplied together.Learn more about the statement to describe.
brainly.com/question/14255123.
Find the total surface area.
8 km
4 km
3.9 km
2 km
8 km
Answers
Answer:
71.2 km²
Step-by-step explanation:
Triangles: 1/2(8)(3.9)=15.6 (2 of them - front and back)
Base: 8x2=16
Side: 4x2=8
Slant:8x2=16
15.6+15.6+16+8+16=71.2
Need help plz on delta math
Answers
Answer: The x intercept for Line A is 2 and the x-intercept for line B is -6.
Step-by-step explanation:
Line A uses the equation y = -1/2x + 1 and to find the x intercept y has to be zero so set the equation equal 0 and solve for x.
0 = -1/2x + 1 Subtract one from both sides
- 1 -1
-1 = -1/2x divide both sides by -1/2
x = 2
So the x intercept for A is 2
For Line B it already indicates the x intercept because that is when y is 0. So when y is 0 then x is -6.
-3 = 7 - BLANK pls tell me what blank is
Answers
Answer:
10
Step-by-step explanation:
-3 = 7 - x
Add x to both sides
x -3 = 7 - x +x
x - 3 = 7
Now, add 3 to both sides
x - 3 + 3 = 7 + 3
x = 10
Answer:
[tex]\boxed{10}[/tex]
Step-by-step explanation:
[tex]-3=7- \sf BLANK[/tex]
[tex]\sf Subtract \ 7 \ from \ sides.[/tex]
[tex]-3-7=-7+7- \sf BLANK[/tex]
[tex]-10=- \sf BLANK[/tex]
[tex]\sf Multiply \ both \ sides \ by \ -1.[/tex]
[tex]-10(-1)=(-1)- \sf BLANK[/tex]
[tex]10= \sf BLANK[/tex]
Given that (-9,-8) is on graph of f(x), find the corresponding point for the function f(x)+2
Answers
Answer:
(-9, -6)Step-by-step explanation:
The graph of function f(x)+2 is moved 2 units up compared to the graph of f(x).
It means the x-coordinate is the same and the y-coordinate of f(x)+2 is increased by adding 2 to y-coordinate of f(x).
-8 + 2 = -6
I will give brainliest to the correct answer!! Find the vertex and the length of the latus rectum. x= 1/2(y - 5)² + 7
Answers
Answer:
Vertex =(5,7)
Latus rectum = 2
Step-by-step explanation:
The general equation of a parabola can be expressed as x = a(y-h)²+k where 'a' is a constant and (h,k) is the vertex of the parabola.
Comparing the general equation with the given equation x= 1/2(y - 5)² + 7, it can be seen that a = 1/2, h = 5 and k = 7. Hence the vertex of the equation is (5,7) on comparison.
The length of the latus rectum of a parabola is 4a
On comparing the equation with the general equation, a = 1/2
Length of the latus rectum = 4(1/2)
Length of the latus rectum = 4/2 = 2
Hence the vertex is (5,7) and the length of latus rectum is 2
Help please!!! Thxxxxx
Answers
Answer:
H
Step-by-step explanation:
All of the following are true statements except _____. |93| = 93 −|93| = −93 |−93| = 93 |−93| = −93
Answers
Answer: Hi!
Alll of the follow are true except option 4, which states the absolute value of -93 is -93. This is not true! Absolute value will always be positive.
Hope this helps!
All of the given statements are true except |-93|=-93.
We need to identify the false statement from the given options.
What is an absolute value?The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value. The absolute value of a positive number is the number itself, that of a negative number is the number without a negative sign, and the absolute value of 0 is 0.
From option (A):
|93|=93 is true.\
From option (B):
-|93|=-93 is true
From option (C):
|-93|=93 is true
From option (D):
|-93|=-93 is false
Therefore, all of the given statements are true except |-93|=-93.
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The office building is 111ft high. About how tall is this in meters.?
Answers
Answer:
Hey there!
11 meters is about 36 feet tall.
Let me know if this helps :)
Answer:
you answer is :33.8328
What is the volume of this rectangular prism?
Answers
Answer:
1
Step-by-step explanation:
rectangular prism volume = Width * Height * Length
Width = 1.33
Height = .6
Length = 1.25
volume = 1
Can someone please help me with this question? The y is throwing me off.
Answers
x = 21
y = 8
=========================================================
Explanation:
Since the y is giving you trouble, I recommend ignoring it for now. Luckily we don't need the y value at first.
Let's solve for x.
The two angles (10x-61) and (x+10) form a straight angle which is 180 degrees.
So,
(10x-61) + (x+10) = 180
10x-61 + x+10 = 180
11x - 51 = 180
11x-51+51 = 180+51 .... adding 51 to both sides
11x = 231
11x/11 = 231/11 .... dividing both sides by 11
x = 21
Since x = 21, the upper right angle (10x-61) is equal to
10x-61 = 10*21-61 = 210-61 = 149
-------------
We can now focus on the (18y+5) angle. This is set equal to 149 since vertical angles are congruent
18y+5 = 149
18y+5-5 = 149-5 ... subtracting 5 from both sides
18y = 144
18y/18 = 144/18 .... dividing both sides by 18
y = 8
--------------
Or we could add the angles (18y+5) and (x+10), set them equal to 180, and solve for y like that
(18y+5)+(x+10) = 180
18y+5 + x+10 = 180
18y+5+21+10 = 180 .... plug in x = 21
18y+36 = 180
18y+36-36 = 180-36 ... subtract 36 from both sides
18y = 144
18y/18 = 144/18 .... dividing both sides by 18
y = 8
We get the same result.
--------------
As a check, plugging y = 8 into 18y+5 should lead to 149
18y+5 = 18*8+5 = 144+5 = 149
This confirms the y value answer
Ms. Ayala had 152 pencils. She divided the numbers of pencils equally among 13 students. What is the greatest numberof pencils Ms.Ayala could have given each student
Answers
Answer:
11
Step-by-step explanation:
she divides the number of pencils equally
so the number of pencils per student is 152/13
which is 11.692...
but she can't give 0.69 of a pencil so she gives only the whole part 11
and she keeps 9 pencils
Multiply.
(7c+6)(-5c-4)
Simplify your answer.
Х
Answers
Answer:
120c
Step-by-step explanation:
7c(-5c)*(-4+6)
7c+5c*4+6
12c*10
120c
Answer:
the answer can be step by step explanation will be found in the answer was Matilda by 776 7 x 6 then the answer you will you - with the answer dancer used you New divide the answer that answer the simple your answer if we multiply you can contact me and say me in which is correct or wrong and I am a teacher
Determine the minimum rotation (in degrees) which will carry the following figure onto itself ( where all sides and verticles will match up). Round to the nearest tenth if necessary.
Answers
Answer:
360°
Step-by-step explanation:
The figure is irregular which means it must be completely rotated to have matching sides and vertices. A full rotation is equal to 360°.
what is the radical of 5√72 PLZ HELP!
Answers
Answer: Exact Form: 30√2
Decimal Form:42.42640687…
Step-by-step explanation: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
I hope this helped :)
Answer:
30√2
Step-by-step explanation:
The radical portion of the given expression is √72.
__
Perhaps you want the simplest form of your expression. Factor out the perfect squares from under the radical.
[tex]5\sqrt{72}=5\sqrt{36}\sqrt{2}=5\cdot 6\sqrt{2}=\boxed{30\sqrt{2}}[/tex]
Jack picks 3 liters of berries in 8 minutes. Jill picks 4 liters of berries in 10 minutes. Working together, how many berries can they pick in 1 minute?
Answers
Answer:
they can pick 27 berry's
Step-by-step explanation:
I think-
They can pick 1.29 liters of berries in 1 minute working together.
--------------------------------------------
The together rate is the sum of each separate rate. In this question:
We want to find the together rate.Jack's rate is [tex]\frac{3}{8}[/tex]Jill's rate is [tex]\frac{4}{10}[/tex]--------------------------------------------
Together, they can pick x liters, and the rate is: [tex]\frac{1}{x}[/tex]
Then
[tex]\frac{1}{x} = \frac{3}{8} + \frac{4}{10}[/tex]
[tex]\frac{1}{x} = \frac{15 + 16}{40}[/tex]
[tex]\frac{1}{x} = \frac{31}{40}[/tex]
Applying cross multiplication:
[tex]31x = 40[/tex]
[tex]x = \frac{40}{31}[/tex]
[tex]x = 1.29[/tex]
They can pick 1.29 liters of berries in 1 minute working together.
A similar question is given at https://brainly.com/question/23323624
what is the key term for at most
Answers
Answer:
less than or equal to it hope this helps you!
2. The fraction 84 by 98 in simplest form is
Answers
Answer: 6/7
Step-by-step explanation: Since the Greatest common factor of 84 and 98 is 14, you divide both sides of 84/98 by 14 to get 6/7
Answer:6/7
Step-by-step explanation:The greatest common factor of both numerator and denominator is 14.So if you divide 84 by 14 you will get 6 and if you divide 98 by 14 you get 7.
15. Paul is scuba diving and is 3.5 feet below
sea level. He is descending at a rate of 0.5
feet per minute. If Paul is now at 12 feet
below sea level, how many minutes has he
been diving?
Answers
Answer:
24min.
Step-by-step explanation:
he descends 0.5 feet per min. Its just like counting by 2's. I hope this helped!!
Answer:
17 minutes
Step-by-step explanation:
This equation can be expressed as .5m+3.5=12 where m = minutes. I put this in a graphing calculator but to solve this you can
12-3.5=8.5
8.5/.5 = 17
What is the value of w? inscribed angles (Image down below)
Answers
Answer:
w = 100°
Step-by-step explanation:
Opposite angles in an inscribed quadrilateral in a circle are supplementary.
Therefore, [tex] w + 80 = 180 [/tex]
Subtract 80 from both sides
[tex] w + 80 - 80 = 180 - 80 [/tex]
[tex] w = 100 [/tex]
The value of w = 100°
The graphed system represents the rate at which two trucks are being filled, where x represents the time in minutes and y represents the percentage filled. Which statement is true? A. The solution is nonviable because the percentage filled cannot be negative. B. The solution is nonviable because the time cannot be negative. C. The solution is nonviable because the time cannot be partial minutes. D. The solution is viable.
Answers
By reading the graph, we can say that the solution is nonviable because A. the percent filled cannot be negative B. the time cannot be negative.
What is meant by Reading the graph?Reading a graph means interpreting what information is being conveyed by the graph and getting meaningful insights from it.
Learn more about reading the graph here
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s
If point C is between points A and B and AB = 41, AC = 5x, BC = 3x – 7,
what is the value of x?
I NEED HELP ASAP
Answers
Answer:
x=6
Step-by-step explanation:
We know that point C is in the middle of point A and point B.
That means that when these two equations are added they should be equal to the length of AB which is 41.
5x+3x-7=41
add 7 to both sides
8x=48
divide both sides by 8.
x=6
Can you write a summation notation of a series that is neither arithmetic nor geometric?
Answers
Answer:
Yes, we can.
Step-by-step explanation:
Hello, I found this one.
[tex]\displaystyle \sum_{n=0}^{\infty} \dfrac{1}{n!}[/tex]
We can prove that it exists and it is equal to e.
But this is nor arithmetic nor geometric.
Thank you
URGENT PLZ HELP!!! Fill in the blank with the appropriate word. The preserves distances and angles between anchor points on the pre-image so that the image is the same size and shape. Transformations Translation equidistant 90° angle
Answers
Answer:
Translation
Step-by-step explanation:
Translations move shapes without changing their side lengths or angles.
Answer:
translation(s)
Step-by-step explanation:
translation(s) mean that you move a shape but not change the lenghts and some,... stuff
PLEASE ANSWER QUICKLY ASAP
READ QUESTIONS CAREFULLY
Answers
Answer:
see explanation
Step-by-step explanation:
Corresponding angles within the similar figures are congruent, thus
x = ∠ A = 52°
h = 7 × 1.5 = 10.5 cm
From B to A then divide by the scale factor, that is
w = 12 ÷ 1.5 = 8 cm
At Geri’s school, 2 out of every 9 eighth-grade girls tried out for the volleyball team. If there are 216 eighth-grade girls at the school, how many tried out for the team?
Answers
Answer:
48 girls tried out for the team.
Step-by-step explanation:
The phrase "2 out of every 9" can be written as the fraction 2/9. To find our answer, all we have to do is 2/9 * 216 = 48 girls.
First Question The following table shows the length and width of a rectangle: Length Width Rectangle A 4x + 5 3x − 2 Which expression is the result of the perimeter of rectangle A and demonstrates the closure property? A.14x + 6; the answer is a polynomial B.14x + 6; the answer may or may not be a polynomial C.2x + 6; the answer is a polynomial D.2x + 6; the answer may or may not be a polynomial
Answers
Answer: A.14x + 6; the answer is a polynomial
Step-by-step explanation:
Since all of the variables have integer exponents that are positive this is a polynomial.
