Answer:
[tex]143.8\:\mathrm{ft^2}[/tex]
Step-by-step explanation:
The composite figure shown in the picture consists of a semi-circle and a trapezoid. We can even break this trapezoid into a rectangle and two triangles for even simpler calculations. We can find the total area of the figure by simply adding the total area of the shapes we will break the figure into:
Area of semi-circle (half the area of a circle): [tex]\frac{1}{2}\cdot 4.5^2\cdot \pi[/tex]
Area of trapezoid (average of bases multiplied by height): [tex]16\cdot 7[/tex]
Thus, the total area of the figure is:
[tex]\frac{1}{2}\cdot 4.5^2\cdot \pi+16\cdot 7=143.808625618\approx \boxed{143.8\:\mathrm{ft^2}}[/tex]
Eddie made a video. The video included a 5-minute introduction followed by short segments. • Each segment was 8 minutes long • Eddie's video was 149 minutes long How many segments were in Eddie's video? O A 11 0 B 18 O C. 19 D 30
Answer:
B - 18
Step-by-step explanation:
149 total minutes minus 5 for the introductions leaves 144.
144/5=18
Nigel owed his friend $20. He paid his friend half of the debt, but later he had to borrow an additional $3. Which of these expressions represents Nigel's debt to his friend?
Answer:
Where are the answers
Step-by-step explanation:
If the perimeter of the polygon is 42, AB = ______?
Answer:
AB = 7
Step-by-step explanation:
The polygon pictured is a hexagon, which means that it has 6 equal side lengths. The perimeter is 42. AB is the length of one side.
Perimeter = 6 x length of one side
If you plug everything you know in the equation, you would get...
42 = 6 x length of one side
42 ÷ 6 = 7
So, 7 is the length of AB, since in a hexagon, all sides are the same length.
The length of side AB is 7.
What are regular polygons?A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.
This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).
We have,
The given polygon is a hexagon since it has 6 faces.
Now,
The six faces are equal in length.
So,
6 faces length = 42
Now,
Each face = x
And,
6x = 42
x = 42/6
x = 7
Thus,
The length of AB is 7.
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The Freeman family is barbecuing veggie burgers, corn cobs, and mushroom caps in their local park. If 3/8of the items barbecued are veggie burgers, and 1/3
of the items barbecued are corn cobs, what fraction of barbecued items are mushroom caps
Answer:
7/24
Step-by-step explanation:
Simplify: – 8p3 (9p4 +8p)
Answer:
-72p^7-64p^4
Step-by-step explanation:
WILL GIVE BRAINLIEST PLEASE HELP ASAP
The sum of three consecutive numbers is 72. What is the smallest of these numbers? Set up an equation to solve.
Answer:
Let the three consecutive numbers be x,x+1,x+2 . The numbers are: 23,24,and25 and the smallest one is 23
Step-by-step explanation:
Answer: (x-1) + (x) + (x+1) = 72; smallest number is 23.
Step-by-step explanation:
The numbers are consecutive, meaning they sit next to each other on a number line. For example 4, 5, 6.
Because they are three consecutive numbers, their average will be the value of the middle one. For example the average of 4, 5, 6 is 5.
Knowing this, we can divide 72 by three to get the value of the middle number.
72/3 = 24, so the middle number is 24.
The numbers that fall either side of 24 on the number line are 23 and 25, so the three consecutive numbers are 23, 24, 25.
You can also set up and solve the equation: (x-1) + (x) + (x+1) = 72 because the numbers are consecutive.
To solve, combine like terms. The (-1) and (+1) cancel out and the equation becomes 3x = 72.
72/3 = 24, so x = 24, and the smallest term, (x-1) = 23.
What is 4/8 + 1/4 simplified what is 3/5 + 2/10 simplified what is 1/3 + 3/9 simplified what is 2/10 +2/5 simplified and what is 3/6 + 2/12 simplified
Answer:
3/4, 4/5, 2/3. 3/5, 2/3
Step-by-step explanation:
What is 4/8 + 1/4 simplified
4/8 + 1/4
4/8 + (1/4)*2/2 (find the common denominator in our case it is 8)
4/8 + 2/8
6/8
or, 3/4 (I simplified the fraction to lowest term)
what is 3/5 + 2/10 simplified
3/5 + 2/10
3/5 + 1/5
4/5
what is 1/3 + 3/9 simplified
1/3 + 3/9
1/3 + 1/3
2/3
what is 2/10 +2/5 simplified
2/10 + 2/5
1/5 + 2/5
3/5
what is 3/6 + 2/12 simplified
3/6 + 2/12
3/6 + 1/6
4/6
2/3
Which is the equation of a hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0)?
The required equation of the hyperbola is expressed as
[tex]\frac{x^2}{10}- \frac{y^2}{15}=1 \\[/tex]
The standard form for calculating the equation of a parabola along the x-axis is expressed as:
[tex]\frac{(x-k)^2}{a^2}-\frac{(y-h)^2}{b^2} = 1 \ ............. 1[/tex] where:
(h, k) is the center
(k±c, h) are the foci
[tex]x=h\pm\frac{a^2}{c}[/tex] is the directrix
From the question given, we can see that foci = (±5, 0)
k±c, h = ±5, 0
k = 0
h = 0
c = 5
From the directrix,
[tex]x=h\pm\frac{a^2}{c}\\x =0\pm\frac{a^2}{5}\\\pm2 = \pm\frac{a^2}{5}\\a^2 = 10\\[/tex]
Also, we need to know that;
a²+b² = c²
10 + b² = 5²
b² = 25 - 10
b² = 15
Substituting the gotten values into the equation of a hyperbola;
[tex]\frac{(x-0)^2}{10}- \frac{(y-0)^2}{15} =1\\\frac{x^2}{10}- \frac{y^2}{15} =1\\[/tex]
This gives the required equation of the hyperbola
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Answer:
The answers are between C and D
Step-by-step explanation:
It can't be A or B because they create a horizontal hyperbola, when the directrices are vertical.
Please help it would mean sm :))) I’ll give BRAINLIST
Answer:
113.1 in
Step-by-step explanation:
C = πd
d = 36
C = 36π = 113.1 in
Find the area of the shaded region
Answer:
Area = 28.43 cm²
Step-by-step explanation:
area of square = 11.5 x 11.5 = 132.25 cm²
area of circle = πr² = (3.14)(5.75²) = 103.82 cm²
Area= 132.25 - 103.82 = 28.43 cm²
Answer:
28.38 cm²
Step-by-step explanation:
Area of square
a = 11.5^2
a = 132.25
The corners are 4 quarter circle
which makes a complte circle
a = πr^2
a = π(11.5/2)^2
a = 103.8689071093
Area shaded
a = 132.25 - 103.8689071093
a = 28.3810928907
Rounded
a = 28.38 cm²
rewrite each expression as single exponent. Answer all of them Please!
1} 11 to the second power times 11 to the tenth power
2} 13 to the 6 power times 13 to the forth power
3} 14 to the power 9 times 14 to the tenth power
4} 2 to the power 4 times 2 to the forth power
5} 7 to the 8 power times 7 to the 6 power
6} 3 to the power 3 times 3 to the 9 power
Answer:
[tex]11^2 *11^10 \\13^6 *13^4\\14^9 * 14^10\\2^4*2^4\\7^8*7^6\\3^3*3^9[/tex]
Step-by-step explanation:
Please Mark Brainliest for helping
Given:BK=CH Which additional congruence statement could you use to prove that ∆BJK ≅ ∆CFH by the HL Theorem?
Answer:
B
Step-by-step explanation:
The hl theorem says that if we have two right triangles that have a congruent hypotenuse and a congruent leg, the two triangles are congruent
in this case the exercise says the two leg are congruent, so we have to say that the two hypotenuse are congruent
So
JB congruent to FC
On the first day of a social media ad campaign, a website had 15 unique visitors. Over the following several days, the website received three times the number of unique visitors as the previous day. The number of visitors, v, can be modeled by v=15⋅3^(d−1), where d is the number of days in the campaign.
On which day of the ad campaign did the website have 10,000 visitors?
A) 4
B) 7
C) 9
D) 6
Answer: 7
Step-by-step explanation:
Change.4 to a fraction.
[?]
Answer:
2/5
Step-by-step explanation:
.4 is 40% out of a 100 so it is 2/5
Answer:
4 over 10
Step-by-step explanation:
the .4 is in the 10 place in the destimal sot here forever when u make it a fraction it would be ⁴/10
CAN SOMEONE HELP ME PLEASE
Answer:
m1= 82
m2=98
m3=82
Step-by-step explanation:
Angle m4 is supplementary with angle m1 so their values add up to 180
180-98=82
Angle m3 is opposite of m1 and is the same value, it is also supplementary to m4 so you can find the value that way as well.
Angle m3 is opposite of m4 so it is the same value. It is supplementary to m1 and m3, so it must be 98 through that logic as well.
PLEASE PLEASE HELP ME
Answer:
c
Step-by-step explanation:
dfghfghj
solve this quadratic by factoring
5x^2+7x=x^2+2
pls show work and how to do it! thank you!!!!!
Step-by-step explanation:
pls click on the pic for full answers
Let's solve this step-by-step. Here it is.
5x²+7x=x²+2
Step 1: subtract 2 from both the left and right side.
5x²+7x-2=x²+2-2
Simplify.
5x²+7x-2=x²
Step 2: subtract x² from each side.
5x²-x²+7x-2=x²-x²
Simplify.
4x²+7x-2=0
Step 3: solve using the quadratic formula.
[tex]x_{1,\:2}=\frac{-7\pm \sqrt{7^2-4\cdot \:4\left(-2\right)}}{2\cdot \:4}[/tex]
[tex]x_1=\frac{-7+9}{2\cdot \:4},\:x_2=\frac{-7-9}{2\cdot \:4}[/tex]
[tex]x=\frac{1}{4},\:x=-2[/tex]
Hope this helps!
Step 2: Factor the left side of the equation.
A parallelogram has area of 65 square units and a height of 5. Find its base. II
Answer: 13
Step-by-step explanation:
A restaurant can hold 300 people is divided into 20 equal parts, How many people can be put in each section
Answer:
15 people
Step-by-step explanation:
ez maths:
300 (total) divided by 20 (parts available) = how many people can sit at said part (15)
Answer:
Each section can hold 15 people.
Step-by-step explanation:
[tex]\frac{1}{y}=\frac{20}{300}[/tex]
y × 20 = 300 × 1
20y = 300
20y ÷ 20 = 300 ÷ 20
y = 15
PLZZZ HURRY!!
What is the series in summation notation?
Answer:
A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n . The expression is read as the sum of 4n as n goes from 1 to 6 .
Step-by-step explanation:
I hope it's help u
Answer:
the answer is B
Step-by-step explanation:
i got your back
Researchers give one group a new cold medicine and compare them with to a group that takes no medicine. what is the group that is not given any medicine?
A. the control group in an experiment
B. the experimental group in a survey study
C. the experimental group in an experiment
D. the control group in an observational study
Answer:
A. the control group in an experiment
Step-by-step explanation:
Researchers give one group a new cold medicine and compare them with to a group that takes no medicine. The group that is not given any medicine is the control group in an experiment.
Who are researchers?Researchers are those who do research on something i.e. systematics and deep investigation into something.
What is control group?Control Group is that group in research which does not take any medication or untreated group.
During the research while a new type of medicine is to be tested, the group that receives the medication or being tested is called the experimented group and the group that does not receive the treatment is called the control group.
Hence, we can say that the group that is not given any medicine is the control group in an experiment.
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how do you give bainlist
Solve for the value of n.
please help
Answer:
n = 8
Step-by-step explanation:
The angles are vertical angles and so they are equal
9n = 8n+8
Subtract 8n from each side
9n - 8n = 8n+8-8n
n = 8
Some help doing a final
Answer:
65 degrees
Step-by-step explanation:
90 + 90 + 115 + x = 360
x= 65
PLEASE I NEED HELP WITH THIS
Given:
The figure of a circle.
To find:
The measure of arc AD and measure of each arc.
Solution:
The measure of arc is equal to the central angle of that arc.
The central angle of arc AD is 105 degrees. So,
[tex]m(arc(AD))=105^\circ[/tex]
The central angle of arc BC is 35 degrees. So,
[tex]m(arc(BC))=35^\circ[/tex]
The central angle of arc CD is 50 degrees. So,
[tex]m(arc(CD))=50^\circ[/tex]
The central angle of a complete circle is 360 degrees. So,
[tex]m(arc(AD))+m(arc(BC))+m(arc(CD))+m(arc(AB))=360^\circ[/tex]
[tex]105^\circ+35^\circ+50^\circ+m(arc(AB))=360^\circ[/tex]
[tex]190^\circ+m(arc(AB))=360^\circ[/tex]
[tex]m(arc(AB))=360^\circ-190^\circ[/tex]
[tex]m(arc(AB))=170^\circ[/tex]
Therefore, the measure of arc AD is 105°, the measure of arc BC is 35°, the measure of arc CD is 50° and the measure of arc AB is 170°
According to a soccer coach, 75% of soccer players have had at least one sprained ankle. An athletic trainer would like to investigate this claim. To do so, the trainer selects a random sample of 125 college soccer players from across the country and finds that 99 of them have had at least one sprained ankle. The trainer would like to know if the data provide convincing evidence that the true proportion of college soccer players who have had at least one sprained ankle is greater than 75%. What are the appropriate hypotheses for this test
The appropriate hypotheses for this test are
p = 0.75 for Null Hypothesis.
p > 0.75 for Alternative Hypothesis.
Given that,
According to a soccer coach, 75% of soccer players have had at least one sprained ankle.
Null Hypothesis (H₀):
The true proportion of college soccer players who have had at least one sprained ankle is equal to 75% is,
p = 0.75
Alternative Hypothesis (Ha):
The true proportion of college soccer players who have had at least one sprained ankle is greater than 75%.
p > 0.75
Here, We are testing if the true proportion is greater than 75%, so the alternative hypothesis should reflect that.
The null hypothesis assumes the proportion is equal to 75%.
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please help me
I'm not very good with math so I am stuck
x=1
Step-by-step explanation:
f(x)=0 is basically the x-axis. the line passes through 3 points on the x-axis, the only correct pint listed is x=1. :)
Round your answer to the nearest hundredth.
Answer:
take 20 degree as reference angle
let hypotenuse be x
using cos rule
cos 20=adjacent/hypotenuse
0.93=7/x
0.93*x=7
x=7/0.93
x=7.5
Step-by-step explanation:
Geoff charges $23.30 for 4 hours of swimming lessons. Anne charges $18.10 for 5 hours. To the nearest cent, how much more does Geoff charge per hour than anne
Answer:
3 hour
Step-by-step explanation:
23.30×4=93.2. 18.10×5=90.5 93.2-90.5=2.7 ans 3 hour than anne
DO NOT PUT A LINK!!!
Answer: D
Step-by-step explanation:
Plug in 0 for each variables in the equation and see which one holds true
Hope this helps