A kite is formed by an equilateral triangle with sides 6 cm and an isosceles triangle with legs 5 cm. Find the area of the kite.

Answers

Answer 1

Answer:

The area of the kite is 27.6 cm²

Step-by-step explanation:

Given;

dimension of the equilateral triangle, = 6 cm

dimension of the isosceles triangle = 5 cm

Please check the image uploaded for a detailed solution.

A Kite Is Formed By An Equilateral Triangle With Sides 6 Cm And An Isosceles Triangle With Legs 5 Cm.

Related Questions

The function f(x) = a^x + 4 will never cross the x-axis if a is positive. True or False?

Answers

Answer:

True

Step-by-step explanation:

If a is negative then the shape of the graph is an upside down U, which intersects the x-axis. If a is positive it will never cross the X axis.

It is true that f(x)=[tex]a^{x}[/tex]+4 will never cross the x axis if a is positive.

What is function?

Function is relationship between two or more that are variables expressed in equal to form. In a function each value of x must have a corresponding value of y.

How to find x intercept?

We have been given that f(x)=[tex]a^{x} +4[/tex] and we have to find whether it will cross x axis or not.

when a line crosses the x axis the value of y becomes negative. We have to first check at y=0.

[tex]a^{x}+4[/tex]=0

[tex]a^{x}[/tex]=-4

taking log both sides,

log [tex]a^{x}[/tex]=log(-4)

x log a=0.602059991+1.3437635i

x=(0.602059991+1.3437635i)/log a

when we put the value of x in f(x) the value of f(x) cannot be negative so it cannot crosses the x axis.

Hence it is true that f(x)=[tex]a^{x}[/tex]+4 will never cross the x axis if a is positive.

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2) A test consists of eight true/false questions. A student who forgot to study guesses randomly on every question. What is the probability that the student answers at most six questions correctly? ​

Answers

Answer:

Step-by-step explanation:

Guss

2/3 divided by 7/12
PLSLSLSLSLSLLSLSL

Answers

Answer:

0.00793650794 or 8/7 in fraction form

Step-by-step explanation:

Find the reciprocal of the divisor

What is the surface area of the cylinder with height 4 in and radius 5 in? Round your answer to the nearest thousandth .

Answers

Answer: 282.743 in2

Step-by-step explanation:


Solve
3w - 4z = 8
2w + 3z = -6

A) w = -2
z = -2

B) w = -2
z = 0

C) w = 0
z = 2

D) w = 0
z = -2​

Answers

Answer:

D

Step-by-step explanation:

Multiplying the first equation by 2 yields 6w - 8z = 16.

Multiplying the second equation by 3 yields 6w + 9z = -18.

Subtracting the two equations gives -17z = 34, and thus z = -2.

Substituting this back into the first equation gives that 3w+8=8, and thus w=0.

Write an explicit formula for am, the nth term of the sequence 5, 30, 180, ....

Answers

Answer:

Am = 5 * 6^(m-1)

Step-by-step explanation:

30/5 = 6

180/30 = 6

Am = 5 * 6^(m-1)

What does the digit 8 represent in 687, 413?

Answers

Answer:

80,000

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Hundreths

Step-by-step explanation:

Tessellations

Determine whether the given figure tessellates the plane.

a. yes
b. no

Please select the best answer from the choices provided

Answers

Answer:

A. Yes

Step-by-step explanation:

I calculated it logically

Yes the given figure with triangular tessellates the plane.

All triangles tessellate.

The picture works because all three corners (A, B, and C) of the triangle come together to make a 180° angle - a straight line.

This property of triangles will be the foundation of our study of polygon tessellations, so we state it here: The sum of angles of any triangle is 180°.

Yes, the given figure tessellates the plane.

Hence, Yes the given figure tessellates the plane.

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15 POINTS. Ronna is estimating the amount of a 15% tip for a $20.36 bill. Her friend Suri said that $2 is a good estimate. Do you agree? Explain.

Answers

Hi

It's not a good estimation.  2 is  10% of  20, so 5% is 1 dollar.  

As the bill is  above  20, and  15 =  10+5  , so   15% is at least more than 3.

So 3 would be a better estimation.  

In fact, 15% of 20.36  is :  20.36 *0.15 = 3.054

Jack wants to abopt all kittens that weigh more than 4 ounces how many kittens will he abopt

Answers

Yea he will
Adopt that many kittens

the nth term of a sequence is 4n-3. finf the number in the sequence that is closest to 150

Answers

Answer:

149

Step-by-step explanation:

nth term = 4n - 3 ..............(1)

Now,

For The tern closer to 150

150 = 4n - 3

or, 153 = 4n

or, n = 38.25

Now,

Since n can not be in decimal,

Put n = 38 in (1)      (Rounding off 38.25 to 38)

or, nth term = 38*4 -3

                    = 152 - 3 = 149

∴ The number of sequence closer to 150 is 149


Show that the transformation T defined by
T(x1, x2) = (2x1 - 3x2, X1+4, 5x2) is not linear.

Answers

Let u = (1, 0) and v = (0, 1). Then

T (u) = (2*1 - 3*0, 1 + 4, 5*0) = (2, 5, 0)

T (v) = (2*0 - 3*1, 0 + 4, 5*1) = (-3, 4, 5)

=>   T (u) + T (v) = (-1, 9, 5)

but

T (u + v) = T (1, 1) = (2*1 - 3*1, 1 + 4, 5*1) = (-1, 5, 5)

=>   T (u + v) ≠ T (u) + T (v)

which means T does not preserve addition, so it is not linear.

How can we represent three-dimensional figures in only two dimensions?

Answers

just add , multiply .

Answer: A three-dimensional figure has a length, a width, and a height. A net is a two-dimensional pattern of a three-dimensional figure, that can be folded to form the figure. Identify the net that we could fold in order to create this 3D figure. Match the 3D figure to the right with its appropriate net, below.

which triangles are similar?​

Answers

Answer:

triangle a and b

Step-by-step explanation:

because its common knowledge

Find...
2/7 of 36
I really need help!

Answers

Answer:

10 2/7

Step-by-step explanation:

Of means multiply

2/7 *36

72/7

Changing from an improper fraction

70/7 +2/7

10 2/7

Answer:

[tex] \frac{2}{7 } \: of \: \: 36 \\ = \frac{2}{7} \times 36 \\ = \frac{2 \times 36}{7} \\ = \frac{72}{7} \\ = 10 \frac{2}{7} \\ = 10.28[/tex]

✐ The answer in fraction form is 72/7, & in decimal form is 10.28.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Round 386.565 to the nearest hundredth.

Answers

386.57
Hope this helps^^^^
Answer: 386.57

Explanation: the 5 was 5 or higher so you turn it into a 0 and pump the number your rounding up.

Suppose that 11 inches of wire costs 44cents.
At the same rate, how many inches of wire can be bought for 24 cents?

Answers

6 inches of wire can be bought with 24 cents.

44/11 = 4
4 cents per inch
24/4 = 6

we can bought 6 inches of wire which costs 24 cents

Tickets to the theater cost $8.00 for adults and $3.00 for children. A group of 2
total people showed up to the theater. They spent $93.00 total on tickets. How
many adults and children were in the group?

Answers

Answer: 9 adults 7 children

Step-by-step explanation:

Exam grades: Scores on a statistics final in a large class were normally distributed with a mean of 77 and a standard deviation of
10. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimals.
(a) Find the 28th percentile of the scores.
(b) Find the 65th percentile of the scores.
(c) The instructor wants to give an A to the students whose scores were in the top 12% of the class. What is the minimum score
needed to get an A?
(d) Between what two values are the middle 64% of the scores? (Enter the smaller number in the first box.)

Answers

Are all of those questions I think it’s C

At the start of the day, Megan has the following items for sale:
60 Sandwiches £2.40
40 Baguettes a £2.70
25 Jacket potatoes £3.25
She sells all the jacket potatoes, 65% of the sandwiches and 85% of the
baguettes.
What is the total value of her sales that day?​

Answers

Answer:

266.65

Step-by-step explanation:

65% of 60 = 39 sandwiches sold

85% of 40 = 34 baguettes sold

all Jacket potatoes sold 3.25 x 25

34 x 2.70

39 x 2.40

add the total and comes to 266.65

The sales tax rate is 10%. If Kamal buys a gold ring priced at $391, how much tax will he
pay?
Round your answer to the nearest dollar: $

Answers

391 x .10 = $39.10 which rounds to $39

Answer: $39

Step-by-step explanation: Actual answer is $39.1 but I rounded down

quickly answer or ill take this question down

Answers

The cross sectional shape is a circle.

I need the answer fast pls

Answers

Answer:

the answer is probably C

Answer:

the answer is B

Step-by-step explanation:

because the minimum score is 5

Select the correct answer.
This graph represents a function.
y
A
8-
61
+
2-
X
-8
-6
-4
- 2
2
4
6
8
-2
-4
-6-
-8
Which table contains points from the inverse of the graphed function?
A.
X х
-4
-3
-2.
-1
3
- 3
y
-1
1
B.
Х
-3
-1
3
1
у
-4
-3
-1
-2
.
-3
Х
3
- 1
2.
1
3
1
y
4
D.
Х
1
4
2
3
y
-3
-1
3

Answers

9514 1404 393

Answer:

  B

Step-by-step explanation:

To find the graph of the inverse function, swap the labels x and y on the axes of the given graph.

There are no x-values common to all the tables, but you can make a determination of the correct one by looking at x=1 and x=-1.

After you swap the axis labels you see that the points ...

  (x, y) = (1, -2) or (-1, -3)

are on the graph. These points are only found in the table of selection B.

The table contains points from the inverse of the graphed function is B. Table 2.

What is a graph?

A graph simply means a diagram that represents the variation of a variable when being compared with other variables.

In this case, the inverse of the graphed function will simply be done by switching all the values of x and y in each point. This is clearly illustrated in the second table.

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The distribution of the amount of money in savings accounts for Florida State students has an average of 1,200 dollars and a standard deviation of 900 dollars. Suppose that we take a random sample of 10 Florida State students and ask them how much they have in their savings account. The sampling distribution of the sample mean amount of money in a savings account is

Answers

Answer:

By the Central Limit Theorem, the sampling distribution of the sample mean amount of money in a savings account is approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Average of 1,200 dollars and a standard deviation of 900 dollars.

This means that [tex]\mu = 1200, \sigma = 900[/tex]

Sample of 10.

This means that [tex]n = 10, s = \frac{900}{\sqrt{10}} = 284.6[/tex]

The sampling distribution of the sample mean amount of money in a savings account is

By the Central Limit Theorem, approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.

The sampling distribution of the sample mean amount of money in a savings account is mean of 1,200 and standard deviation of 284.6 dollars.

Calculation of mean & standard deviation:

Since the distribution of the amount of money in savings accounts for Florida State students has an average of 1,200 dollars and a standard deviation of 900 dollars. And, a random sample of 10.

So here the mean should be $1,200

And, the standard deviation should be

[tex]= 900 \div \sqrt10[/tex]

= $284.6

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Find the multiplicative inverse of:

[tex]4 \times \frac{ - 7}{8} [/tex]
[tex] \frac{ - 5}{6} \times \frac{2}{7} [/tex]

Answers

Answer:

Step-by-step explanation:

first no answer=1/4*8/-7 =8/-28

second no answer=6/-5*7/2 =42/-10

find the exact value of cos A in simplest radical form

Answers

Answer:

cosA = 1/2

Step-by-step explanation:

cos = adj/hyp

cosA = 5 /10

cosA = 1/2

On a particular day, 112 of 280 passengers on a particular DTW-LAX flight used the e-ticket check-in kiosk to obtain boarding passes. In a random sample of eight passengers, use the binomial model to find the approximate hypergeometric probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

Answers

Answer:

0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

Step-by-step explanation:

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Population of 280, which means that [tex]N = 280[/tex]

112 use e-ticket check-in kiosk, which means that [tex]k = 112[/tex]

Sample of eight passengers means that [tex]n = 8[/tex]

Find the approximate hypergeometric probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

This is P(X = 4). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 4) = h(4,280,8,112) = \frac{C_{112,4}*C_{168,4}}{C_{280,4}} = 0.2348[/tex]

0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

What is the value of (5 x 20) + (8 x 10)?

Answers

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

(5 x 20) + (8 x 10) =

100 + 80 =

180

Determine if these values form a right triangle. E

Answers

Answer:

They do not.

Step-by-step explanation:

a² + b² = c²    c is the hypotenuse

9² + 12² = 17²

81 + 144 = 289

225  ≠  289

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