Answer:
440 square unitsStep-by-step explanation:
We can find half of a side of the pentagon with the expression
[tex]tan(36\°)=\frac{s_{half} }{11}[/tex]
Because, as a regular polygon, all its sectors have the same central angle, and the apothem divides equally each sector in two equal parts.
[tex]s_{half} \approx 8[/tex]
Therefore, half of a side is 8 units long, which means each side measures 16 units.
Now, the area of a penthagon is defined by
[tex]A=\frac{p \times a}{2}[/tex]
Where [tex]p[/tex] is the perimeter and [tex]a[/tex] is the apothem. Where the perimeter is the sum of all sides, which is 80 units.
[tex]A= \frac{80 \times 11}{2} =440 \ u^{2}[/tex]
Therefore, the right answer is the second choice.
Jivesh is analyzing the flight of a few of his model rockets with various equations. In each equation, h is
the height of the rocket in centimeters, and the rocket was fired from the ground at time t = 0, where t is
measured in seconds.
Jivesh also has a more powerful Model B rocket. For this rocket, he uses the equation h =-81012+1,980t.
When is the height of the Model B rocket 1,210 centimeters? Round your answers to the nearest
hundredth.
After how t “” seconds, the rocket will have reached a height of 1,210 centimeters
Answer:
1.22 s
Step-by-step explanation:
h = -810t² + 1980t
This is the equation of a parabola.
We must solve the equation to find the maximum height (h).
The coefficient of x² is negative, so the parabola opens downward, and the vertex is a maximum.
One way to solve this problem is to convert the equation to the vertex form.
We do that by completing the square.
Calculation:
h = -810t² + 1980t
Divide both sides by -810 to make the coefficient of t² equal to 1.
(-1/810)h = t² - (22/9)t
Square half the coefficient of t
(-11/9)² = 121/81
Add and subtract it on the right-hand side
(-1/810)h = t² - (22/9)t + 121/81 - 121/81
Write the first three terms as the square of a binomial
(-1/810)h = (t - ¹¹/₉)² -121/81
Multiply both sides by -810
h = -810(t - ¹¹/₉)² + 1210
You have converted your equation to the vertex form of a parabola:
y = a(t - h)² + k = 0,
where (h, k) is the vertex.
h = ¹¹/₉ and k = 1210, so the vertex is at (¹¹/₉, 2100).
The maximum height of the rocket is 2100 cm.
After ¹¹/₉ s ≈ 1.22 s, the rocket will have reached a height of 1210 cm.
The graph below shows the rocket reaching 1210 cm at 1.22 s.
A 26 ft ladder leans against a wall. The bottom of the ladder is 10 ft from the wall. How tall is the top of the ladder on the wall?
Answer:
It is going to be 16 ft because
26 ft - 10 ft = 16 ft
can u mark me brainliest plz
Answer:
the top of the ladder is at 24 feet from the ground
Step-by-step explanation:
Use the Pythagorean theorem to solve for the unknown, since we notice that the ladder is the hypotenuse of a right angle triangle formed by the horizontal distance from the wall to the base of the ladder, and the height of the top of the ladder against the wall. We need to find one of the triangle's sides given its hypotenuse and the other side, so we use the formula:
[tex]side_2=\sqrt{hyp^2-side_1^2}\\ side_2=\sqrt{26^2-10^2} \\side_2=\sqrt{676-100} \\side_2=\sqrt{576} \\side_2=24\,\,ft[/tex]
Find the value of b rounded to the nearest tenth
Answer:
You can use the Law of Sines for this problem, but what makes it tough at first glance is that they put a step in before you can use it directly. That first step is to get m∠C. When solving a triangle, always get the third angle if you know the other two so that you can use the Law of Sines (or Law of Cosines) more directly.
The sum of the angles of any triangles is 180°. We know the measures of the two other angles. So we subtract them from 180° to find that third angle.
180° - 76° - 66° = 38°
Now we can use the proportion from the picture. Angle B measures 76°, side b is our unknown, Angle C measures 38°, and side c measures 3 units.
sin 76° sin 38°
----------- = -----------
b 3
Cross multiply to find b (the side). We carry out five places in these calculations to get more accuracy.
3 * sin 76° = b * sin 38°
b = 3 * sin 76° 3 * 0.56611 1.69832
--------------- = --------------- = ---------------- = 5.73044
sin 38° 0.29636 0.29636
To the nearest tenth, b - 5.7 units.
Step-by-step explanation:
google hope this helps
Simplify the expression using positive exponents: (6^4)3
Answer:3888
Step-by-step explanation:
(6^4)3
=1296*3=3888
Hope I helped
Please answer correctly !!!! Will mark brainliest !!!!!!
Answer:
h(r) = 6(r+1)+10
Step-by-step explanation:
Just solve for q. Because that's the output. h(r) = q
Answer: 6r+16
Step-by-step explanation: All you need to do is to simplify the equation q-10=6(r+1) It becomes q-10=6r+6. You then add 10 on both sides, resulting q=6r+16.
Cable car travels from the village up to a resort on the top of a mountain. When a cable car has traveled 150 feet along the cable, it is 100 feet above the ground. The total distance the cable car must travel to reach resort is 12,000 feet. How high is the mountain?
PLEASE HELP I WILL MARK YOU BRAINLIEST
Answer:
8000 feet
Step-by-step explanation:
Assuming that the cable is a straight line,
it has to travel the the 80-fold of what it already did, and goes up the 80-fold.
Proofing this by calculating it could be done like this: 100 * (12.000/150)
= 100 * 80
(would really, reallly appreciate the brainliest)
Answer:
8,000
Step-by-step explanation:
What is the equation for the asymptote of the following function?
F(x)= -2^-x + 5
Answer:
y=5
Step-by-step explanation:
Maria mows 2/3 of a lawn in 1/5 hour. How Many similar-sized lawns can she mow in 1 hour?
Answer:
Hey mate,
In one hour = 2/3/1/5
= 10/3 lawn
Hope this helps you out!
Step-by-step explanation:
Answer:
10/3
Step-by-step explanation:
Which equation represents f(x) f(x)=^3 square root of x+6+1 f(x)=^3 square root of x-6+1 f(x)=^3 square root of x+6-1 f(x)=^3 square root of x-6-1 HELP!!!
Answer:
First answer, F(x) = Cuberoot (x+6) + 1
Step-by-step explanation:
Graphing Calculator
Hope this helps!
Two roots of a third degree polynomial function f(x) are -4 and 4. Which statement describes th
roots for this function?
f(x) has three complex roots.
f(x) has three real roots.
f(x) has two real roots and two complex roots.
Of(x) has three real roots and one complex root.
Answer:
f(x) has 3 real roots
Step-by-step explanation:
According to the Fundamental theorem of Algebra.
A polynomial of degree n has n roots, which can be real or complex or both.
Thus a polynomial of degree 3 has 3 roots.
Two real roots are given
Complex roots occur in conjugate pairs, thus there cannot be an odd number of complex roots.
Thus f(x) has three real roots.
Answer:
B
Step-by-step explanation:
Edge
A food worker needs to cool a large pot of soup.
How should the food worker cool the soup?
Answer:
1) The worker can keep the soup in a container with a large surface area as evaporation will occur faster
2) The worker and keep the soup near a fan, cooling the soup
3) The worker keep the soup in a dry area as moisture reduces the rate of evaporation
Can someone please help me with this and I need it today
Answer:
Step-by-step explanation:
rule for line c: y=x+3
x y
0 3
1 4
2 5
3 6
I was able to determine the rule because line c has a slope (m) of 1 (it goes up one and sideways one each time). Its y int. is at 3, so that means 3 is b in the equation y= mx+b
Rule for line D: y=1/2x
x y
0 0
2 1
4 2
6 3
Line d is y=1/2x becaise it goes up 1 and then sidewys 2, so slope (m)= 1/2. There is no b becase it crosses the origin.
(-2,-1) (-4,-2) (-6, -3) just extend the line with a ruler.
hope this helps! :)
Jane wants to edge her garden with brick. All sides are equal. The brick costs $5 per yard. What is the perimeter of the garden? How much will it cost to buy the edging she needs?
Answer:
$45 for the cost and 9 for the perimeter.
Step-by-step explanation:
hope it helps you !!
Answer: perimeter is 96 ft
and it will cost 160
Step-by-step explanation:
Please solve questions 15 to 17
Choose correct answer
WILL GIVE LOTS OF POINTS IF SOLVED CORRECTLY AND ASAP!!!!
ALSO WILL MARK BRANLIEST
15.A
16.D
17.B
Step-by-step explanation:
if you put it on a graph it works for all
what is the surface area of this wedge
Answer:
84 ft
Step-by-step explanation:
triangle= 1/2bh
rectangle or square = bh
so 1/2(4)3=6
6 times 3= 18
1/2(4)3= 6
4 times 6 = 24
5 times 6 = 30
now you add them all up
6 + 18 + 6+ 24+ 30 =
The Surface area of this wedge is 84 square ft.
What is Surface Area?The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.
For each three-dimensional geometrical shape, surface area and volume are determined. The area or region that an object's surface occupies is known as its surface area.
To find the Surface are we will find the area of each part individually.
We have two triangle and 3 rectangles.
So, area of Triangle
= 1/2 b h
= 1/2 x 4 x3
= 6 square ft
Area of rectangle
= l w
= 6 x 3
= 18 square ft
Area of 2 rectangle
= l w
= 4 x 6
= 24 square ft
and, area of 3rd rectangle
= 5 x 6
= 30 square ft
So, the Surface area of Figure is
= 6 + 18 + 6 + 24 + 30
= 84 square ft
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PLZ HELP 20 POINT
Lucia's credit card company calculates a finance charge based upon a periodic rate of 1.92% on all unpaid balances. If Lucia has an unpaid balance of $212.53, determine the finance charge that she will be assessed.
Round your answer to two decimal places.
$214.45
$210.61
$408.06
$4.08
Answer:
$1.98
Step-by-step explanation:
125.89 x 0.0157 = 1.97 rounded to 1.98
Was this helpful?
The price of a 5-minute phone call is $1.75. What is the price of a 12-minute phone call?
The price of a 12-minute phone call is?
Answer:
$4.20
Step-by-step explanation:
you first do 1.75 divided by 5 which gives you .35
so you do .35 times 12 which gives you 4.2
The price of a 12-minute phone call is $4.2.
We have given that,
The price of a 5-minute phone call is $1.75.
We have to determine, the price of a 12-minute phone call.
What is the price?
A price is the (usually not negative) quantity of payment or compensation given by one party to another in return for goods or services.
We first 1.75 divided by 5 which gives you .35
That is,
[tex]\frac{1.75}{5} =0.35[/tex]
[tex](0.35)( 4)=4.2[/tex]
0 .35 times 12 which gives $4.2.
Therefore the price of a 12-minute phone call is $4.2.
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Help!!I hate math with a passion plz help!due today
Answer:
Step-by-step explanation:
help help help help help help help
Answer:
6x²+11x-3
Step-by-step explanation:
5x²+2x+x²+9x-3=
6x²+11x-3
You can't put the x² and x together since you don't know what x is.
Add terms that have only x together and terms that only have x² together and terms that have neither x or x²
5x to the second power with x to the second power
2x with 9x
3 is by its self
Lucas built a composite solid by joining 12 identical blocks, with dimensions 4 inches by 5 inches by 7 inches, into three
rows of four as shown
What is the total surface area of the composite solid?
521 square inches
1,042 square inches
1,072 square inches
1,992 square inches
Answer:
the correct answer is b .
Step-by-step explanation:
Carolyn makes and sells necklaces. The material to make each neckalce costs $3.20. She has 12 necklaces to sell and wants to make a total profit of $54. The following equation describes the situation. 12 (x minus 3.20) = 54 Carolyn found that x = 7.7 and determined that she will make a profit of $7.70 on each necklace . Which error did Carolyn make? The solution means that she should charge $7.70 for each necklace. The solution means that each necklace costs $7.70 to make. The solution to the equation is not x = 7.7. Carolyn did not distribute the parentheses when solving.
Answer:
A
Step-by-step explanation:
Answer:
It's A.
Step-by-step explanation:
HELP!
This pattern follows the rule add 24. What other features do you observe?
12, 36, 60, 84
A. All terms are even because even + even = even.
B. All terms are even because odd + odd = even.
C. All terms are odd because odd + even = odd.
D. All terms are even because when you add two numbers together, the sums are always even.
Answer:
A.
Step-by-step explanation:
All terms are even. This means it either has to be A. or B. Since 24 is an even number, two even numbers are always added together. So A. is the correct answer.
Answer:
A.
any number even + even = even
10 + 14 = 24 and 24 is even
12+24=36 which is even
Odd + odd does = even but it doesn't represent the situation so it is wrong.
Step-by-step explanation:
What percentage increase occurs in the price of a round-trip economy plane ticket from New York to London by electing to go first-class as opposed to going on the regular economy class?
Answer:
71.1%
Step-by-step explanation:
Find a whole number between 3.75 and root 36 .
Answer:
The whole numbers between 3.75 and 6 is 4 and 5
The shape has an area of 60 square inches. Find the value of x.
Answer:
8 inches
Step-by-step explanation:
ROCK is a kite. The area of a kite is denoted by:
A = (1/2) * d1 * d2, where d1 and d2 are the diagonals
Here, the two diagonals are x and 15, and we know the area is 60, so plug these into the equation:
A = (1/2) * d1 * d2
A = (1/2) * 15 * x
60 = (1/2) * 15 * x
x = 120 / 15 = 8
Thus, x = 8 inches.
Answer:
[tex]8 \: \: inch[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The table shown below gives the estimated number of text messages sent in the U.S. by year. Approximately how many times as many text messages were sent in the U.S. in 2011 as in 2005
The correct answer should be A.
First consider that 2357/1180 is around 2. So the first part must have the answer of times 2. Then decide how many zeroes must be added. By simple math if you do 118,000,000,000 * 20 (which is ) then you get 2,360,000,000,000. which is roughly the correct number.
The correct answer should be A.
First, consider that 2357/1180 is around 2.
What is the estimated number?Estimation is the process of finding the number which is close enough to the exact solution. But it is not an exact answer.
So the first part must have the answer of times 2.
Then decide how many zeroes must be added. By simple math if you do 118,000,000,000 * 20.
Then you get 2,360,000,000,000.
which is roughly the correct number.
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A number cube is rolled three times. What is the probability of rolling three even numbers? Hint: It's not 5/10 :(
Answer: 2/3
Step-by-step explanation:
Answer:
1/2
Step by step explanation:
Is this a statistical question? : How many vacations did employees take last year??
Answer:
Yes,it is
Step-by-step explanation:
solve for y in x+0.25y=1.5
Answer:
Y=-4x+6
Step-by-step explanation:
Step 1: Add -x to both sides.
X+0.25y+-x=1.5+-x
0.25y=-x+1.5
Step 2: Divide both sides by 0.25.
0.25y/0.25=-x+1.5/0.25
Y=-4x+6
Hope I helped
Solve the following pair of linear equation using Cross multiplication
method
2x + 3y = 46; 3x + 5y = 74
Answer:
2x + 3y = 46
3x + 5y = 74
Multiply 1st equation by 3 and 2nd equation by 2:
6x + 9y = 138
6x + 10y = 148
Subtract 2nd equation to 1st equation:
=> y = 148 - 138 = 10
=> 2x + 3*10 = 46
=> 2x = 16
=> x = 8
Hope this helps!
:)