Answers
Answer:
540 degrees
Step-by-step explanation:
The formula to find the sum of interior angles in any polygon is the following:
[tex]S=180(n-2)[/tex]
Where (n) represents the number of sides in the polygon. In this case, the polygon has (5) sides, therefore substitute (5) in place of (n) and solve;
[tex]S=180(n-2)\\\\S=180(5-2)\\\\S=180(3)\\\\S=540[/tex]
Related Questions
As head of the Parks Department, Jada has been tracking the park’s use of different supplies over the last several years. Her research shows that, up through last year, the park’s total water usage per year was 13,505 gallons for all regular days, plus another 18.5 gallons for each special event hosted by the park. How many special events did the park host last year? Show your work.
Answers
Answer:6 events
Step-by-step explanation:
13505+ 18.5x =13616
Maria wants to plant a tulip garden in her backyard. She can plant
10 rows of tulips with 9 tulips in each row.
How many tulips can Maria plant in all?
Answers
Explanation:
10 rows times 9 tulips in each row.
9*10= 90
Maria can plant 90 tulips.
Please help with this geometry question
Answers
Answer:
5894.82 ft^3
Step-by-step explanation:
We have to split the figure into two parts and then find the volume of both and add. The figure is split into a cylinder and hemisphere. The volume of the cylinder is 4823.04 ft^3 because the formula to find the volume of a cylinder is pi(r^2)h. The volume of the hemisphere is 1071.78 ft^3. Now, we have to add those volumes to get our final answer. 4823.04 + 1071.78 = 5894.82.
This is kind of far fetched but does anyone have an idea of how to find elevation using cos tan and sin ?
Answers
Answer:
Step-by-step explanation:
Use right triangle trig and SohCahToa. Elevation could either mean the height of something or it could refer to an angle of elevation. Either way, these ratios can help you. Do you have an actual question?
what is called intersection of two sets
Answers
Answer:
In mathematics, the intersection of two sets A and B, denoted by A ∩ B, is the set containing all elements of A that also belong to B (or equivalently, all elements of B that also belong to A).
Step-by-step explanation:
the ratio of colored papers to white papers is 3/8 if there are 48 white papers, how many coloured papers are there
Answers
The number of coloured papers as per the given problem is 18.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
Given that,
The ratio of coloured papers to white papers is 3/8.
And, the number of white papers is 48.
Suppose, the number of coloured papers be x.
Then, as per the question the following equation can be obtained,
3/8 = x/48
=> x = 3/8 × 48
=> x = 18
Hence, the number of coloured papers is 18.
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x + (3x - 4) = 5 - (-7 - 3x)
Answers
Answer:
x = 16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
x + (3x - 4) = 5 - (-7 - 3x)
Step 2: Solve for x
[Distributive Property] Distribute negative: x + 3x - 4 = 5 + 7 + 3x[Addition] Combine like terms: 4x - 4 = 12 + 3x[Subtraction Property of Equality] Subtract 3x on both sides: x - 4 = 12[Addition Property of Equality] Add 4 on both sides: x = 16Please help! This boxed is packed with cubes that measure on cubic foot.
Enter the volumes of the box in cubic feet.
Answers
Answer:
Volume of Cuboid = 72 cubic feet
Step-by-step explanation:
Using 1 cubic foot as standard
Given:
Length of given cuboid = 6 feet
Width of given cuboid = 3 foot
Height of given cuboid = 4 foot
Find:
Volume of Cuboid
Computation:
Volume of Cuboid = Length of cuboid x Width of cuboid x Height of cuboid
Volume of Cuboid = (6)(3)(4)
Volume of Cuboid = 72 cubic feet
6g = 48
g=?
What does g=?
Answers
Answer:
8
Step-by-step explanation:
6g = 48
/6 /6
divide 6 by both sides
g = 8
hope this helped!
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
[tex]1017.9ft ^{3} [/tex]
Step-by-step explanation:
[tex]volume \: of \: cylinder \\ v = \pi \times r {}^{2} \times h \\ = \pi \times 9^2 \times 4 \\ = 1017.9[/tex]
Angle 1 and angle 2 are shown in the diagram below.
Which of the following shows an equation that can be used to determine the measures of angle 1 and angle 2 and the actual measures of angle 1 and angle 2?
Equation: 90 = 25.8 + 3.5x
Angle 1: 64.2°
Angle 2: 25.8°
Equation: 90 =
Angle 1: 50.9°
Angle 2: 39.1°
⊝
Equation: 180 = 127.50 + 3.5x
Angle 1: 135.45°
Angle 2: 44.55°
Equation: 180 =
Angle 1: 127.5°
Angle 2: 52.5°
Answers
Answer:
Equation: 180 = 127.50 + 3.5x
Angle 1: 135.45°
Angle 2: 44.55°
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
9/4x + 101.7 + 1 1/4x +25.8 = 180
Change the mixed number to an improper fraction
9/4x + 101.7 + 5/4x +25.8 = 180
Combine like terms
14/4x +127.5 = 180
Subtract 127.5 from each side
14/4x = 180-127.5
14/4x = 52.5
Multiply each side by 4/14 to isolate x
x =52.5 * 4/14
x = 15
Angle 1 = 9/4x +101.7 = 9/4*15 + 101.7 = 33.75+101.7=135.45
Angle 2 = 1 1/4x +25.8 = 5/4 (15) +25.8 =18.75+25.8=44.55
Given CSC A= sqrt(85)/6 and that angle A is in Quadrant I, find the exact value of cot A
in simplest radical form using a rational denominator.
Answers
The exact value of cot A will be 0.857.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The co-secant of angle A is √85 / 6. And that angle A is in Quadrant I.
Then the value of angle A will be
csc A = √85 / 6
1 / cos A = √85 / 6
cos A = 6 / √85
A = 49.4°
Then the exact value of cot A will be
cot A = cot 49.4°
cot A = 0.857
The exact value of cot A will be 0.857.
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A truck driver drove 48 miles in 45 minutes. At this rate, how many miles can the truck drive in an hour.
_______ miles in one hour
Answers
Answer:
About 64 Miles
Step-by-step explanation:
I think you just divide the miles by minutes which is about 1.06 then x 60 = 64
Find the value of x.
Answers
Answer:
16 = x
Step-by-step explanation:
A triangle has 180 degrees. Use this to solve for x
180=(9x-8)+(x+2)+(x+10)
180 = 9x + x + x - 8 + 2 +10
180 + 8 -2 - 10 = 11 x
176 = 11x
176/11 = x
16 = x
square OABC is drawn on a centimetre grid. O is (1,3) A is (3,3) B is (3,5)
Answers
Answer:
you have to tell us the question honey
solve M2 + 6m = -8 using quadratic formula??
Answers
Answer:
m=-4,-2
Step-by-step explanation:
Hi there!
What we need to know:
The quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex] where the equation is given in standard formStandard form quadratic equation: [tex]y=ax^2+bx+c[/tex] (with y=0)1) Rearrange the given equation into standard form
This will help us determine the a, b and c values.
[tex]m^2+6m=-8[/tex]
Add 8 to both sides
[tex]m^2+6m+8=0[/tex]
Now, we can see that a=1, b=6 and c=8.
2) Plug a, b and c into the quadratic formula
[tex]m=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\\m=\frac{-6\pm\sqrt{6^2-4(1)(8)} }{2(1)}\\m=\frac{-6\pm\sqrt{4} }{2}\\m=\frac{-6\pm2 }{2}\\m=-3\pm1 \\m=-4,-2[/tex]
I hope this helps!
Solve 1/3(x-9)=2x+7
X=6
X=2
X=-6
X=-2
Answers
Answer:
x = -6
Step-by-step explanation:
1/3(x-9)=2x+7
1/3x - 3 = 2x + 7
-5/3x = 10
x = -6
The angle measurements in the diagram are represented by the following expressions.
\qquad \blueD{\angle A} = \blueD{6x - 18^\circ}∠A=6x−18
∘
start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 6, x, minus, 18, degrees, end color #11accd \qquad \green{\angle B} = \green{14x +38^\circ}∠B=14x+38
∘
The answer is 30 :)
Answers
Answer:
∠A = 30
Step-by-step explanation:
Look at attachment:
Hope this helps! :)
A line, y = mx + b. passes through the point (2, 4) and is parallel to y = 3x - 5. What is the value of b?
Answers
Answer:
-2
Step-by-step explanation:
Well since this line is parallel to y=3x-5 they must have the same slope
We are just solving for the y-intercept
We have a point (2,4) lets plug it into
y=3x+ b
4 = 3(2) +b
4= 6 +b
-2 = b
The value of b is -2
Answer:
B-value = -2
Step-by-step explanation:
In the picture below Orange line represents the line of "y = 3x - 5", since we know that the line passing through the point (2,4) is parallel to the given line, the slope of the line would be 3x as well. To find b-value or y-intercept we have to plot the point on the graph where the line passing through the points (2,4) intersects the y-axis, in this case it's at (0,-2), therefore the b-value = -2.
Hope this helps!
Here is the diagram:
Find the volume of this right rectangular
prism.
4 cm
4 cm
4 cm
[ ? ]cm3
Answers
Answer:
V = 64 cm^3
Step-by-step explanation:
Volume is length times width times height
V = l*w*h
V = 4*4*4
V = 64 cm^3
Answer:
64
Step-by-step explanation:
4x4x4=64
A car travels at a constant speed of 40 mph on the highway. Write an expression to find the distance the car travels for any number of hours. Let the variable h represent the number of hours.
Answers
Answer: [tex]40h[/tex]
Step-by-step explanation:
Given
Speed of car is [tex]40\ mph[/tex]
We know, distance is given by
[tex]\text{Distance=}\text{speed}\times \text{time}[/tex]
Let h represents the number of hours
So, the distance traveled with speed [tex]40\ mph[/tex] in 'h' hours
[tex]\Rightarrow d=40\times h\\\Rightarrow d=40h[/tex]
So, the expression is given by [tex]40h[/tex]
Stanley attempted to simplify the expression below.
−4●(2.5x−1.25)−3x
His work, step by step, is shown below.
Step 1: −4●{(2.5x+(−1.25)}−3x
Step 2:−10x+(−5)−3x
Step 3:−10x−3x+(−5)
Step 4: −13x−5
In which step did he make his first error simplifying the expression?
Answers
Which of these decimals represents the shaded area of the grid? A) .8 x .6 = .48 B) .8 x .6 = 4.8 C) .8 x .6 = .084 D) .8 x .6 = .84
Answers
Answer:
A) .8 x.6 = .48
Step-by-step explanation:
B, C, and D are all answered incorrect
Elena is feeding her neighbor's dogs. Each dog gets 2/3
cup of dog food, and she uses 3 1/3 cups of food. How many dogs does her neighbor have?
5 5/8 cups of water fill 4 1/2 identical water bottles. How many cups fill each bottle?
Answers
Answer:
5 dogs
1 1/4 cups per bottle
Step-by-step explanation:
10/3 ÷ 2/3 get solved by 10/3 x 3/2, which gives you 30/6 or 5
45/8 ÷ 9/2 is 45/8 x 2/9 which is 5/4 or 1 1/4
Find the surface area of
the prism.
12 in.
7 in.
4 in.
The surface area is
in. 2.
Answers
Taryn is making a quilt using fabric in the shape of parallelograms that have side lengths of 12 cm and 4.5 cm as shown. She sews two right
triangles to either end of the parallelogram to make a rectangle. The length of OP is 2.5 cm.
What is the length of MN?
O A V2.5 cm
OB. 14 cm
OC 4.5 cm
OD 26.5 cm
OE 7 cm
Answers
Answer:
[tex]MN = \sqrt{14[/tex]
Step-by-step explanation:
Given
[tex]NO = 12[/tex]
[tex]OP = 2.5[/tex]
[tex]OQ = 4.5[/tex]
Required
Find MN
First, we calculate QP using Pythagoras theorem
[tex]OQ^2 = OP^2 + QP^2[/tex]
[tex]4.5^2 = 2.5^2 + QP^2[/tex]
[tex]20.25 = 6.25 + QP^2[/tex]
Collect like terms
[tex]QP^2 = 20.25 - 6.25[/tex]
[tex]QP^2 = 14[/tex]
Take square roots
[tex]QP = \sqrt{14[/tex]
To solve MN, we have:
[tex]MN = OP[/tex]
So:
[tex]MN = \sqrt{14[/tex]
What is the product of -1.24 and 4.25?
A-5.27
B -3.01
C 3.01
D 5.49
Answers
The terms shown below are the first three terms of a geometric sequence whose common ratio is positive.
7, 4x+8, 112.
a) Determine the value of the common ratio
b) Determine the value of X algebraically.
Answers
Answer:
a. 4
b. 5
Step-by-step explanation:
a. r = √(112/7) =√16 =4
b. 4x+8 = 28
4x = 28-8
4x = 20
x= 5
The value of X algebraically is 5 and the common difference is;4.
What is a geometric sequence?There are three parameters which differentiate between which geometric sequence we're talking about.
The first parameter is the initial value of the sequence.
The second parameter is the quantity by which we multiply previous term to get the next term.
We are given that terms shown below are the first three terms of a geometric sequence whose common ratio is positive.
7, 4x+8, 112
Therefore, the common difference is;
r = √(112/7) =√16
r =4
Now, 4x+8 = 28
4x = 28-8
4x = 20
x= 5
The value of X algebraically is 5.
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A ski slope is 250 yards long with a vertical drop of 100 yards. Find the angle of depression of the
slope.
Answers
Step-by-step explanation:
would you still like me to help you with this question
Angle of depression of the slope is 24. degree.
Angle of depression is equal to the angle of elevation.
sine = the vertical drop/ the ski slope
sine = 100/250
= 2/5 = 0.4.
sine - 1 (0.4) = 23.57 which is about 24 degree.
Therefore, the correct angle of depression of the slope is approximately 24 degree.
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Solve
No links!!!
I will give brainlest
& send links get reported
Answers
Answer:
12 no .
x+2(4/5)=3(1/6)
x+5*2+4/5=6*3+1/6
x+14/5=19/6
5*x+14/5=19/6(do cross multiplication)
6(x+14)=19*5
6x+84=95
6x=95-84
x=11/6
Step-by-step explanation:
13 no
-0.4a+1.2=3.6
-0.4a=3.6-1.2
a=2.4/-0.4
a=-6