Answer: A composite figure is made up of several simple geometric figures such as triangles, rectangles, squares, circles, and semicircles. To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.
Area of the composite figure can be find by using additive areas method and subtractive areas method
What is Composite figure?Composite geometric figures are made from two or more geometric figures. The composite figure below is made from parts of a rectangle and a circle
What is Area ?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
Area of the composite figure can be find by using two methods,
Additive areas method and Subtractive areas method
In Addictive areas method
Break the composite shape into basic shapesFind the area of the each basic shapesAdd all the areas of basic shapes togetherIn Subtractive areas method
Break the composite shape into basic shapes. That shape maybe larger than the composite shapes.Find the area of the each basic shapesArea of the composite shape will be the difference between the area of the larger shape.Hence, the area of the composite figure can be find by using additive areas method and subtractive areas method
Learn more about Composite figure and Area here
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Simplify
[tex] \sqrt[4]{ {5}^{4} } [/tex]
4
5
25
625
Answer:
5
Step-by-step explanation:
[tex] \sqrt[4]{ {5}^{4} } \\ = ({5}^{4})^{ \frac{1}{4} } \\ = {5}^{ \frac{4}{4} } \\ = 5[/tex]
Answer:
5
Step-by-step explanation:
Mitch runs 4 miles in 2x + 3 minutes, and Joy
runs 7 miles in 5x - 1 minutes. If each of them
ran for 1 minute, how many miles would they
run, combined (in terms of x)?
If a set of data has a mean of 22 and a standard deviation of 6.5, what would be the amount that is one standard deviation lower than the mean?
Your answer
Answer:
Could u help me with my question
Step-by-step explanation:
When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a standard deviation of 3 minutes. What percentage of his commutes will be between 33 and 35 minutes, to the nearest tenth?
Answer:
[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]
And we can find the probability of interest with this difference
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]
And if we use the normal standard table or excel we got:
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]
And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %
Step-by-step explanation:
Let X the random variable that represent the times to conmutes to work of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(41,3)[/tex]
Where [tex]\mu=41[/tex] and [tex]\sigma=3[/tex]
We are interested on this probability
[tex]P(33<X<35)[/tex]
And we can solve the problem using the z score formula given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
And using this formula we got:
[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]
And we can find the probability of interest with this difference
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]
And if we use the normal standard table or excel we got:
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]
And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %
Anyone else getting the nasty storms from Tropical Storm Arthur? (I live in Virginia Beach, VA so I am :/)
Answer:
No not yet. But Sumter County is supposed to get rain all week starting today. It's starting to thunder now.
Answer:
Oh yeah...
Step-by-step explanation:
Arthur is bullying my house.......
(Brainliest?)
Mia agrees to borrow a 3-year loan with 4% simple interest to buy a motorcycle. Part A If Mia will pay a total of $444 in interest, how much money did she initially borrow?
Answer:
$3700
Step-by-step explanation:
To find how much Mia borrowed, we simply need to use the Simple Interest formula:
I = (P * R * T) / 100
Where I = interest
P = principal or amount borrowed
R = rate of interest
T = time taken (in years)
Mia agrees to borrow a 3-year loan with 4% simple interest and she will pay a total of $444 in interest. Therefore:
444 = (P * 4 * 3) / 100
444 = 12P / 100
444 * 100 = 12P
=> P = (444 * 100) / 12
P = $3700
Therefore, she initially borrowed $3700 .
Find \cos(\alpha)cos(α)cosine, left parenthesis, alpha, right parenthesis in the triangle. Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac{20}{29} 29 20 start fraction, 20, divided by, 29, end fraction (Choice B) B \dfrac{20}{21} 21 20 start fraction, 20, divided by, 21, end fraction (Choice C) C \dfrac{21}{29} 29 21 start fraction, 21, divided by, 29, end fraction (Choice D) D \dfrac{21}{20} 20 21
Answer:
Check Explanation
Step-by-step explanation:
The diagram for this question is missing, but from the setup of the question, it is evident that the triangle to obtain cos α from is a right angled triangle.
It is evident from the options provided that the right angled triangle is one with dimensions of 20, 21 and 29.
These three dimensions perfectly form a Pythagorean triple.
So, the value of cos α now depends on the setup of the triangle.
From trigonometric relations, if α is an angle in the right angled triangle, cos α is given mathematically as
Cos α = (Adj/Hyp)
For this Pythagorean triple,
Hyp = hypotenuse side = 29
Adj = Adjacent side = 20 or 21, depending on the triangle's setup.
If the adjacent is 20,
Cos α = (20/29), option A is correct.
If the adjacent is 21,
Cos α = (21/29), option C is correct.
Hope this Helps!!!
What is 2/3 ÷ 4/5 = ?
Answer:
5/6
Step-by-step explanation:
2/3 ÷ 4/5 = ⇒ changing division to multiplication by reciprocal of the second fraction2/3 × 5/4 = ⇒ simplify and multiply numerators and denominators5/6 ⇒ here is the answerA relation where every input has one and only one output is called what?
On the blueprint of a house, 27 millimeters represents 6 meters. The actual length of the living room is 9 meters.
Answer:
40.5 mm
Step-by-step explanation:
Use a proportion to find the blueprint's length of the living room.
27 mm is to 6 m as x is to 9 m
27/6 = x/9
6x = 27 * 9
6x = 243
x = 40.5
Answer: 40.5 mm
help please! ill mark brainliest
Answer:
A=150ft^2
Step-by-step explanation:
A=(b1+b2)/2*h
A=(15+10)/2*12
A=25/2*12
A=25*6
A=150ft^2
Area of trapezoid formula: A = h(b1+b2/2)
A = 12(10+15/2)
A = 12(25/2)
A = 12(12.5)
A = 150
Therefore, the area of the trapezoid is 150ft²
Best of Luck!
Matthew invested $5,800 in an account paying an interest rate of 4.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 7 years?
Answer:
A≈8173.18
Step-by-step explanation:
Please people help me
Answer:
C. 8.06
Step-by-step explanation:
You can use the pythagorean theorem to find that the length of the hypotenuse of this triangle is [tex]\sqrt{7^2+4^2}=\sqrt{49+16}=\sqrt{65}\approx 8.06[/tex]. Hope this helps!
Answer: C
Step-by-step explanation:
7^2 + 4^2 =c^2
49 + 16 =c^2
65=c^2
c= 8.06
Which is an example of an abiotic factor that might limit the number in an African grassland giraffe population?
Answer:
rocks. rocks everywhere means no where for trees so no foods.
Step-by-step explanation:
Solve each word problem using either method.
1.
Your parents took your family out to dinner. Your parents wanted to give the waiter a 15% tip. If
the total amount of the dinner was $42.00, what should be paid to the waiter as a tip?
PLEASE HELP
Answer:
it should be $6.30
Step-by-step explanation:
i put it in 2 different ways:
42x.15 and 42x15% both gave me 6.3
triangle xyz is similar to triangle abc solve for k
Answer:
k = 13.5
Step-by-step explanation:
We can use ratios to solve
3 4.5
---- = ---------
9 k
Using cross products
3k = 9*4/5
Divide each side by 3
3k/3 = 9*4.5/3
k =13.5
What is the range 0 -9 -9 -6 -4 -7 -5 -3
Answer:
9
Step-by-step explanation:
put in order least to greatest
-9 -9 -7 -6 -5 -4 -3 0
9-0=9
range cannot be negative because it is the space between numbers and distance cannot be negative
Answer: The range is 9.
A cell phone and phone case cost $110 in total. The cell phone costs $100 more than the phone case. How much was the cell phone?
Answer:
105
Step-by-step explanation:
if both together cost $110
and the cell phone cost 100 more than the phone case, we need to find the cost for the phonecase
and it's 105
hope this helped:D
brainliest is appreciated if u want
Answer:
$105 r e
Step-by-step explanation:
yo was the answerrrrrr n how u do it???????
Answer:
A pizza with 8 slices has price: 12$, then each slice cost:
12/8 = 1.5$
Hope this helps!
:)
Answer:
$1.50
Step-by-step explanation:
Total cost of pizza: $12
The pizza has 8 slices, so 12 divided by 8 will give the cost of one slice.
12/8 = 1.50
one slice of pizza costs $1.50
How can you use the properties of operations to evaluate this expression?
18 + 4(28). Explain.
Answer:
130.
Step-by-step explanation:
18 + 4(28(
= 18 + 4 * 28 Multiplication is done before addition so we have:
18 + 112
= 130.
Use the distributive property and expand 28, then distribute the 4 to 20 and the 4 to 8. Then you have 18 + 80 + 32. Use commutative property to reverse the order of 32 and 80 so that 18 and 32 are friendly numbers to add.
A circle has centre (0, 0) and it passes through the point (5, -3)
Find the radius of the circle, in surd form.
Answer:
radius = [tex]\sqrt{34}[/tex]
Step-by-step explanation:
The radius r is the distance from the centre to a point on the circle.
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (5, - 3)
r = [tex]\sqrt{(5-0)^2+(- 3-0)^2}[/tex]
= [tex]\sqrt{5^2+(-3)^2}[/tex]
= [tex]\sqrt{25+9}[/tex]
= [tex]\sqrt{34}[/tex]
PLEASE HELP WILL GIVE BRAINLIESTT
What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?
Answer:
(0, 5)
Step-by-step explanation:
To solve for the y-intercept, plug in 0 for all x values and solve.
25 x 10 to the power of 6 in standard form
Answer:
24414062 14
sj rjsjstushnaayaeyn
Please help me with logarithms!
Answer:
x=2ln(2)/(2ln(2)-ln(3))
Step-by-step explanation:
ln(4^x-1)=ln(3^x)
(x-1)ln(4)=ln(3^x)
(x-1)ln(4)=xln(3)
ln(4)x-ln(4)=xln(3)
ln(4)x=ln(3)x+2ln(2)
2ln(2)x-ln(3)x=2ln(2)
(2ln(2)-ln(3))x=2ln(2)
Therefore, x=2ln(2)/(2ln(2)-ln(3))
Answer:
4.819 =x
Step-by-step explanation:
4^(x-1) = 3^x
Take the log of each side
log (4^(x-1)) = log(3^x)
We know that log a^b = blog a
(x-1) log 4 = x log (3)
Distribute
x log 4 -log 4 = x log 3
Subtract x log 4 from each side
x log 4 - x log 4 -log 4 = x log 3 - x log 4
- log 4 = x log 3 - x log 4
Factor out -x
- log 4 =- x ( log 4- log 3)
Divide by -1
log 4 = x (log 4 - log 3)
Divide each side by (log 4 - log 3)
log 4 / (log 4 - log 3) = x
4.81884167930641800 =x
Round to the nearest thousandth
4.819 =x
100 PTS:Please help me now plz plz I promise I will mark you brainliest
Answer:
[tex] \cos \beta = \dfrac{8}{17} [/tex]
Step-by-step explanation:
[tex] \cos A = \dfrac{adj}{hyp} [/tex]
For angle beta, adj = BC = 8, and hyp = AB = 17
[tex] \cos \beta = \dfrac{adj}{hyp} [/tex]
[tex] \cos \beta = \dfrac{BC}{AB} [/tex]
[tex] \cos \beta = \dfrac{8}{17} [/tex]
Answer:
Cos B = 8/17
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos B = adjacent/ hypotenuse
Cos B = 8/17
7. What is the value of the expression 3(2 - 7)
Answer:
-15
Step-by-step explanation:
3(2 - 7)
PEMDAS says parentheses first
Subtract
3 (-5)
Multiply
-15
Jack earns $40 in interest each year on an investment. What is his interest rate if his principal was $200
Answer:
The interest rate is 20%.
Step-by-step explanation:
In order to calculate the interest rate, we need to compute how many percents the value he recieves is related to the total he invested. In this case he recieves 40 every year and he invested 200, to calculate that we will apply a rule of three. We have:
$200 -> 100%
$40 -> x%
200/40 = 100/x
200*x = 40*100
200*x = 4000
x = 4000/200 = 20
The interest rate is 20%.
Please help me I’m about to break down
Answer:
the answer would be <RSV &<TSV
Answer:
RSV and TSV
Step-by-step explanation:
Supplementary angles are those that add to 180 degrees
RSV and TSV form a straight line so they add to 180
They are complementary angles
Which of the following numbers is not a rational number? -3 2.7 √4 √5
Answer:
[tex]\sqrt{5}[/tex]
Step-by-step explanation:
