The value of x in the hexagon is 17.
How to find the angle of a hexagon?A hexagon is a polygon with six sides. The sum of angles in a hexagon is 720 degrees.
Therefore, x can be found in the hexagon as follows:
we have to sum the whole angles to get x.
110 + 8x - 1 + 5x + 36 + 116 7x + 19 + 6x - 2 + 110 = 720
combine like terms
110 + 116 - 2 + 36 - 1 + 19 + 8x + 5x + 7x + 6x = 720
278 + 26x = 720
subtract 278 from both sides of the equation
278 + 26x = 720
278 - 278 + 26x = 720 - 278
26x = 442
divide both sides by 26
x = 442 / 26
x = 17
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6.
Can the following side measures form a triangle?
3 ft, 5 ft, 8 ft
I a) Yes
b) No
Answer:
No
Step-by-step explanation:
the sum of the two shorter sides must be greater than the longer side
(not even if it is equal to, as in this case)
Here are some formulas to see if 3 sides can make a triangle...
[tex]a+b>c\\b-a, a-b<c\\a+c>b[/tex]
So a=3
b=5 and c=8
3+5=8
So no it can't.
find the value of angle ABC A(3x)B(x+4) C 110
A 30.5 degrees
B 60 degrees
C 80.5 degrees
D 121.5 degrees
20 POINTS! Please help!
Find the value of x. Round to the
nearest tenth.
x = [?]
Answer:
4 hope it helps you better
how many miles is bowman from stonecrest ga.
a.1 hr 48 min
b.17 min
c.46 min
d.none of the above
2. 3. Edward bikes the same route to and from school each day. After 28 school days, he bikes a total distance of 389.2 miles. a. Estimate how many miles he bikes in one day.
Answer:
Step-by-step explanation:
Estimate usually means "Don't use a calculator." An estimate would be 30 days and 390 miles. That makes 13 miles / day. I get the feeling that is not what is wanted.
miles / day = total distance / number of days
miles / day = 389.2 / 28
miles / day = 13.9 miles per day. I don't know which answer to use. I'd try this one first and then use the top one.
The ratio of boys and girls riding the bus is 4:3 if there are a total of 56 students on the bus,how many girls are on the bus
Answer:
18 or 14
Step-by-step explanation:
also, can u help me with my recent questin
i need help with this question
Answer:
(C). [tex]\frac{22\pi }{3}[/tex] yd.
Step-by-step explanation:
What is the greatest common factor of 20w and 45wt
A. W
B. T
C. 5w
D. 45
Answer:
c
Step-by-step explanation:
20w=4w*5w
45WT=5WT*9WT
The area of a rectangle is x2 - 6x – 27 and the length is
X - 9. What is the width?
the width is x - 3
~iwa-chan
Last week the waiter received $80 in tips. This week the waiter received $63 in tips. What is the percent decrease in tips from last week to this week?
A 0.21%
B 21%
C 22%
D 27%
Answer:
21.25%
Step-by-step explanation:
To find the percent decrease, take the original amount and subtract the new amount
80-63 = 17
Divide this by the original amount
17/80 =.2125
Multiply by 100 to change to a percent
21.25%
whats the permiter and area of this triangle will mark brainleist?
Answer:
permiter 68ft
area 204ft²
Step-by-step explanation:
25ft+26ft+17ft=68ft
1/2×17ft×24ft=204ft²
I hope it's help
The Cougars basketball team sold tins of flavored popcorn as a fundraiser. The players competed for prizes to see who could sell the most tins. This box plot shows the results.
Popcorn tins sold
What fraction of the players sold between 8 and 16 popcorn tins?
Answer:
1/2 percent
Step-by-step explanation:
If you look at the box, the middle number is 12 or since its the middle "1/2"
so the fraction would be 1/2, hope this helped.
The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.
We have given that,
The players sold between 8 and 16 popcorn tins,
If you look at the box, the middle number is 12, or since it's the middle 1/2.
What is the fraction?
Fractions represent equal parts of a whole or a collection. Fraction of a whole When we divide a whole into equal parts, each part is a fraction of the whole.
So the fraction would be 1/2, hope this helped.
The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.
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Do the following setm of lengths form a right triangle 36,77, 85
Answer:
They can make a right traingle because both sides of the equation are equal these lengths do form a right triangle.
Answer:
yes
Step-by-step explanation:
Using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares of the other 2 sides then triangle is right.
longest side = 85 and 85² = 7225
36² + 77² = 1296 + 5929 = 7225
Thus the 3 sides form a right triangle
3√x^2
I need to write this as a fractional exponent.
[tex]3\sqrt{x^2}[/tex][tex]=3x[/tex]
[tex]\sqrt[3]{x^2}[/tex][tex]=x^\frac{2}3}[/tex]
I do not know which one you mean but still one of them is still your answer. :)
A milky way candy bar has a height of 2.4 cm, a width of 3 cm, and is 6 cm long.
What is the volume of the candy bar?
Answer:
V=lbh=2.4×3×6=43.2cm^3
We are given a candy batband we are given its dimensions
height = 2.4cmwidth= 3cmlength= 6cmTO FINDWe need to find it's volume
Volume of a cuboid is given by l×b×h
SOLUTIONVolume = length × breadth × height
Volume = 2.4 × 3 ×6
Volume = 43.2 cm^3If 18 g of air has 48 J of heat added to it, what will be the change temperature? (C = 0.25 J/g x°C)
Explanation is in the file
tinyurl.com/wpazsebu
Suppose you want to put trim around the floor of a rectangular room.
The room is 7 by 11 feet. If a foot of trim costs $6, how much will the
trim cost altogether?
What is the median of the data set shown: 18,21,22,24,28,30,31,32,36,37
Answer: 27.9
Step-by-step explanation:
Add all the numbers together and divide it by how many number there is so
all the numbers added together is 279
there are 10 numbers there so you divide 279 by 10 and it gives you 27.9
Oscar is planning to paint his house. For stability, the foot of his 17-foot ladder should be placed 4 feet from the house. How far up the side of the house will the ladder reach?
Answer: The side of the house will the ladder reached by ladder = 16.52 feet
Step-by-step explanation:
House is standing vertical on the ground.
By placing ladder, it will become a right triangle with hypotenuse as ladder.
By Pythagoras theorem,
[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]
i.e.
[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]
Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)
Which values for A and B will create infinitely many solutions for this system of equations? A x minus y = 8. 2 x + y = B.
Answer:
A = -2
B = -8
Step-by-step explanation:
A system of equations has infinitely many solutions when both equations are exactly the same equation, then both graphs intersect in infinitely many points, meaning that the system has infinitely many solutions.
Then if we have the equations:
A*x- y = 8
2*x + y = B
We want to find A and B such that both equations are exactly the same thing.
Notice that in the first one we have negative y, while in the second we have positive y.
Then A needs to be minus the coefficient that multiplies x in the other equation, this means that:
A = -2
And B needs to be minus the corresponding therm in the other equation, then B = -8.
Then the system becomes:
-2*x - y = 8
2*x + y = -8
We can see that one equation is -1 times the other, so if we write both of them as linear equations in the slope-intercept form, we get:
y = -8 - 2*x
y = -8 - 2*x
So both equations are exactly the same thing, meaning that we have infinitely many solutions.
What is a positive data set on a graph?
Answer:
when the dot's go left to right going upwards
Step-by-step explanation:
x - y = 4
y - 8 = -2
At which point do the graphs of the given equations intersect each other?
Answer:
(10,6)
Step-by-step explanation:
1. Rearrange
x-y=4
y=x-4
y-8=-2
y=6
2. Graph
A ship travels 200 km west from port and then 240 km due south before it is disabled. Illustrate this in a vector diagram. Use trigonometry to find the course that a rescue ship must take from port in order to reach the disabled ship.
The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.
Sketch of the ship's motionThe sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.
<-------- 200 km-------
|
| 240 km
↓
Displacement of the shipThe displacement of the ship from the initial position is calculated as follows;
d² = 200² + 240²
d² = 97,600
d = √97,600
d = 312.4 km
Direction of the displacementtanθ = 240/200
tanθ = 1.2
θ = tan⁻¹(1.2)
θ = 50.2⁰
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The sales tax on a $30 purchase was
$2.40. What was the sales tax rate?
Answer:
8 percent
Step-by-step explanation:
2.4/30 = 0.08 or 8%
36 is 18% of what number?
Answer: 200
Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200
Answer:
200
Step-by-step explanation:
:/
I hope
An engineer is designing a large steel pad to be installed on the deck of an aircraft carrier. Its total volume will be 18 yd^3. A scale model made of the same material measuring 6 feet by 4.5 feet and 4 inches thick weighs 75 lbs. If the steel costs $55/lb, how much will the material for the full-sized steel pad cost?
a) 12,375.00
b) 55,687.50
c) 82,500.00
d) 222,750.00
Answer:
The cost of the material for the full-sized pad is;
d) 222,750.00
Step-by-step explanation:
The parameters of the steel pad and the scale model are;
The volume of the deck = 18 yd³
The dimensions of the model of the same material = 6 feet by 4.5 feet and 4.5 inches thick
The weight of the sample, m₂ = 75 lbs
The cost of the steel, P = $55/lb
The dimensions of the sample in yards are;
6 feet = 2 yards, 4.5 feet = 1.5 yards, and 4 inches = 0.[tex]\overline 1[/tex] yards
The volume of the sample, V₂ = 2 yd. × 1.5 yd. × 0.[tex]\overline 1[/tex] yd. = (1/3) yd.³
The density of the sample material, ρ = m₂/V₂
∴ The density of the sample material, ρ = 75 lbs/((1/3)yd.³) = 225 lbs/yd³
Therefore, the density of the material of the pad, ρ = 225 lbs/yd³
The mass of the steel pad, m₁ = ρ × V₁
∴ The mass of the steel pad, m₁ = 225 lbs/yd³ × 18 yd³ = 4,050 lbs
The cost of the material for the full-sized steel pad, C = m₁ × P
∴ C = 4,050 lbs × $55/lb = $222,750
what % of 25 = 5
Please hurry
5 is what percent of 25? = 20
A pizza parlor is creating a questionnaire to survey customers about their satisfaction with the taste of their pizzas. Which questions would be considered good questions to include on the survey?
Answer:
On a scale of 1 to 10, how satisfied are you with the taste of our pizzas?
Would you recommend our pizzas to your friends and neighbors? Please answer either yes or no.
Step-by-step explanation:
James made 8 pancakes that are all approximately 4 inches in diameter, and 0.5 inches tall. He stacks all of the pancakes on top of each other. What is the total approximate volume of the stack of pancakes rounded to the nearest cubic inch?
A. 16 cubic inches
B. 50 cubic inches
C. 100 cubic inches
D. 201 cubic inches
Answer:
The answer is A:16
Step-by-step explanation:
8+4+0.5=16 I think so
Find the area of the composite figure.
A. 51 m2
B. 81 m2
C. 102 m2
D. 420 m2
Answer:
B. 81 m²
Step-by-step explanation:
6x10 = 60
7x6 = 42
42/2 = 21
60+21 = 81
Answer:
B) 81 meters squared
Step-by-step explanation:
rectangle = 6 * 10 = 60
triangle = .5 * 6 * 7 = 21
60+21 = 81