Identify and calculate the area and perimeter for each triangle

Answer:

Radius, r = 10 cm

Radius, r = 10 cmWe know, Circumference = 2πr=2×π×10=20π cm

The circumference of the circle is

20π cm or about 62.8 cm.

Here's how I did it:

The formula for a circumference of a circle is 2πr , where r is the radius. We can plug our known value of the radius ( 10 cm) into the formula and solve.

2π 10=20π cm or about 62.8 cm.

Step-by-step explanation:

The radius is half as long as the diameter, so the diameter can be thought of as 2r. Keeping this in mind, you can write down the formula for finding the circumference of a circle given the radius: C = 2πr. In this formula, "r" represents the radius of the circle.

Hope it is helpful....

Answer:

t = 3 seconds

Step-by-step explanation:

16t^2=144

Simplify by dividing both sides by 16:

t^2=9

t=3

Hope this helped!

The value of x is 1.75 and y is 5. The solution is obtained using properties of congruent triangles.

What is a congruent triangle?

Two triangles that are congruent will have precisely the same three sides and three angles.

The dimensions of the triangles' sides and angles determine whether two or more triangles are congruent. A triangle's size is determined by its three sides, and its shape by its three angles. Pairs of corresponding sides and corresponding angles in two triangles are said to be equal if they are congruent. They share a similar size and shape. In triangles, there are numerous congruence conditions.

The triangles are congruent by SAS congruency because

AC = CD (Given)

∠ACB = ∠DCE ( Vertically opposite angles)

BC = CE  (Given)

Thus, Triangle ABC ≅ Triangle DEC

Since, the triangles are congruent, therefore

⇒AC = CD

⇒4y-6 = 2x+6   ...(1)

Also, BC = CE

⇒3y+1 = 4x

⇒(3y+1)/4 = x    ...(2)

Now, substituting the value of x in (1), we get,

⇒4y-6 = 2(3y+1)/4+(6)

⇒4y-6 = (6y+2 +24)/4

⇒16y-24 = 6y+2 +24

⇒10y = 50

⇒y = 5

Now putting the value of y in (2), we get

⇒(3(2)+1)/4 = x

⇒7/4 = x

⇒ x = 1.75

Hence, the value of x is 1.75 and y is 5.

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Answer:

787

Step-by-step explanation:

401 muffins that contained nuts

787 muffins that did NOT contained nits

Then the ratio is:

401 : 787

Answer:

401:787 = 1/2

Step-by-step explanation:

muffins with nuts                muffins without nuts

401                                             787

ratio= 401/787

     =1/2

Answer:

1/4

Step-by-step explanation:

The combinations where both numbers are even are:

2, 2

2, 4

2, 6

4, 2

4, 4

4, 6

6, 2

6, 4

6, 6

There's a total of 9 combinations.  So the probability is 9/36 = 1/4.

Answer:

Cost of Washer = $696

Cost of Dryer = $232

Step-by-step explanation:

Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.

Put the equation together, so we can add the x variables together.

3x + x = 4x

The total cost will be what the '4x' is equal to.

4x = 928

Going back to algebra, we solve the equation by dividing both sides by 4.

x = 232

Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.

3x

3(232) = 696.

To check the answer, we can add them together to make sure we get the total cost.

696 + 232 = 928

Answer:

He made $414.90 in all.

Step-by-step explanation:

56.25 * 6 = $337.50

25.80 * 3 = $77.40

77.40 + 337.50 = $414.90

Answer:

Wow this hard

Step-by-step explanation:

X∞

k=1

k(k + 2)

(k + 3)2

is convergent or divergent. If it is convergent, find its sum.

Answer: This series diverges. To see this, I will show that the terms in the sequence do not

go to zero:

lim

k→∞

k(k + 2)

(k + 3)2

= lim

k→∞

k

2 + 2k

k

2 + 6k + 9

.

Dividing numerator and denominator by k

2 yields

lim

k→∞

1

k

2

1 + 2

k

1

k

2

1 + 6

k +

9

k

2

= lim

k→∞

1 + 2

k

1 + 6

k +

9

k

2

= 1.

Therefore, using the nth term test (a.k.a. Test for Divergence), the series diverges

Step-by-step explanation:

umm its false cause one thing isn't correct here.

like if we're asked to find the opposite of -5 itll be +5

and in Anita's case, she should have said, that the like for 2 the opposite will be -2 like just change the integers.

like for -, change it to positive and for +, change it to negative

have a great day :)

Body design, muscular power and steadiness, flexibility and cardio-respiratory endurance are the components of fitness. Fitness is a major component of a healthy lifestyle.

While performing tasks during gymnastics she needs balance so that she can maintain and control a particular position.

Body design, muscular power and steadiness, flexibility and cardio-respiratory endurance are the components of fitness. Fitness is a major component of a healthy lifestyle.

Balances are of two types dynamic and static. Balance used while moving and performing the task is dynamic balance while performing in a standing position is static balance.

Gymnasts require balancing as the main component cause they use poles and beams to perform their tasks.

Therefore, balance is the skill mainly required in gymnastics.

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A mathematically indication example would be to solve the equation 3x + 2 = 14 for the value of x. The solution would be 4.

Looking for a mathematically indication example, we can consider a simple mathematical equation with one variable and solve it.

The equation would be 3 x + 2 = 14.

So we can solve for the equation to be :

3x + 2 - 2 = 14 - 2

3x = 12

3 x / 3 = 12 / 3

x = 4

In conclusion, the mathematically indication example would be 3x + 2 = 14 and the value of x would be 4.

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Answer:

-285

Explanation:

I did it on my calculator

Approximately 17.65% of Ana's salary is withheld for taxes.

To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.

Number of hours worked per week (H) = 25 hours

Hourly wage (W) = $10

Net salary (S) = $212.50

Calculate the total earnings before taxes:

Total earnings = Hours worked * Hourly wage

Total earnings = 25 hours * $10/hour

Total earnings = $250

Determine the amount of tax withheld:

Tax withheld = Total earnings - Net salary

Tax withheld = $250 - $212.50

Tax withheld = $37.50

Calculate the percentage of salary withheld for taxes:

Percentage withheld = (Tax withheld / Net salary) * 100

Percentage withheld = ($37.50 / $212.50) * 100

Percentage withheld ≈ 17.65%

Therefore, approximately 17.65% of Ana's salary is withheld for taxes.

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After answering the presented question, standard deviation t Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

A statistic that expresses the variability or variation of a bunch of values is the standard deviation. A high standard deviation indicates that the values are more distributed, whereas a low standard deviation indicates that the numbers are closer to the set mean. The standard deviation is a measure of how far the data are from the mean (or ). When the standard deviation is small, the data tends to cluster around the mean; when it is great, the data is more spread. The standard deviation represents the average variability of the data collection. It displays the average deviation from the mean of each score.

Next, we need to find the t-value for a 90% confidence interval with 8 degrees of freedom (n-1):

t = t(0.05, 8) = 1.860

Now we can calculate the lower and upper bounds of the confidence interval:

Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

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Answer: 5 second on the way down

Step-by-step explanation: i hope this helps plz tell me if its wrong so i can fix it

we get that in interest Linda get

and Mary get:

So Linda get $3 more than Mary

the length of the rope is approximately 11.9 feet.

What is right angle triangle?

The term "right-angled triangle" refers to any triangle with an internal angle that is either a right angle or 90 degrees in value. The right triangle or the 90-degree triangle are other names for this triangle because of this. Right triangles have "opposite" and "adjacent" sides, which refer to the sides that are across from and next to respective angles, respectively. When a right triangle is formed, the hypotenuse is its longest side.

We can consider the flagpole, the ground, and the rope as forming a right triangle. The angle between the flagpole and the rope is 90 degrees, and the angle between the rope and the ground is 35 degrees. Therefore, the angle between the flagpole and the ground is 90 - 35 = 55 degrees.

Let's call the length of the rope "r". We can use the trigonometric function tangent to find r:

tan(35°) = opposite/adjacent = r/20

Multiplying both sides by 20, we get:

r = 20 tan(35°)

Using a calculator, we get:

r ≈ 11.9 feet

Therefore, the length of the rope is approximately 11.9 feet.

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Answer:

A president, a vice president, and a secretary can be selected in 60 ways.

Step-by-step explanation:

The order in which the people are chosen is important(first president, second vice president and third secretary), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

\(P_{(n,x)} = \frac{n!}{(n-x)!}\)

In this question:

3 students from a set of 5, so:

\(P_{(5,3)} = \frac{5!}{2!} = 5*4*3 = 60\)

A president, a vice president, and a secretary can be selected in 60 ways.

Answer:

two pair of opposite parallel sides

two pair of opposite congruent angles

i am sorry if i was wrong but thoes are the only reasonable answers

Answer:two pair of opposite parallel sides two pair of opposite congruent angles

Step-by-step explanation:You also have parallel side

Answer:

the answer is d i took the test and got it right

Step-by-step explanation:

i have none

Answer:

she delivers 9 flower plugs.

Step-by-step explanation:

in a standard equation the equation would be 21 = 2x + 3 and if you isolate the x you would have to first subtract the 3 from both sides and that would leave you with 18 = 2x and then you have to divide both sides by 2 and get 9=x

The given expression is

Since the greatest common factor of 11, 44, 231 is 11, then divide each term by 11 to take it as a common factor

Now, we will factorize the trinomial into 2 factors

Since

Then the 2 factors are (x - 7)(x + 3)

Answer:

\(D_u f(0,\pi/6)=\frac{4\sqrt{3}-3}{5}\)

Step-by-step explanation:

We are given that

\(f(x,y)=2cos(y)e^{x}\)

Point=(\(0,\pi/6\))

Vector v=<-8,6>

We have to find the directional derivative of the function.

\(f_x(x,y)=2cos(y)e^{x}\)

\(f_x(0,\pi/6)=\sqrt{3}\)

\(f_y(x,y)=-2sin(y)e^{x}\)

\(f_y(0,\pi/6)=-1\)

\(|v|=\sqrt{(-8)^2+6^2}=\sqrt{100}=10\)

\(\hat{u}=\frac{v}{|v|}=\frac{-8i+6j}{10}=\frac{1}{10}(-8i+6j)\)

\(\nabla f(0,\pi/6)=<f_x(0,\pi/6),f_y(0,\pi/6)>=<\sqrt{3},-1>\)

Now, the directional derivative in the direction of v at point (0,\(\pi/6\)) is given by

\(D_u f(0,\pi/6)=\nabla f(0,\pi/6)\cdot \hat{u}\)

By using the formula

\(D_u f(x,y)=\nabla f(x,y)\cdot \hat{u}\)

\(D_u f(0,\pi/6)=<\sqrt{3},-1>\cdot <-\frac{8}{10},\frac{6}{10}>\)

\(D_u f(0,\pi/6)=-\frac{4\sqrt{3}}{5}-\frac{3}{5}=-\frac{1}{5}(4\sqrt{3}+3)\)

The equation of the line in slope - intercept form is \(y=\frac{-7}{4}x-5\)


Explain what the slope-intercept form is?

Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible. This expression is sometimes referred to as y = mx + b form

Given: x = -4 , y = 2 and b = -5

y = mx + b

2 = m (-4) + (-5)

m = \(\frac{-7}{4}\)
By putting the value of m we get equation of line
\(y=\frac{-7}{4}x-5\)

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Let the 7 letters A through G represent the ages of the 7 person family.

7/2 = 3.5 which rounds to 4 represents the slot number of the median, aka the middle-most position. The 4th letter is D. Because the median is 16, we know that D = 16.

We go from this

A,B,C,  D,  E,F,G

to this

A,B,C,  16,  E,F,G

I put a bit of spacing to help show why D is the middle.

-------------------

The modes are 12 and 45, which means those values show up more than once. Let's assume they show up 3 times each.

That tells us A,B, and C are all equal to 12. Furthermore, that assumption indicates E,F,G are all equal to 45.

We go from this

A,B,C,  16,  E,F,G

to this

12,12,12,  16,  45,45,45

But we run into a problem. The range is max-min = 45-12 = 33 and not 35 like we want.

We have no choice but to remove one copy of "12" and remove one copy of "45". We need to remove both because removing only one of those would result in the mode being just one value (rather than two).

-------------------

So we have this now

A,12,12,  16,  45,45,G

where A < 12 and G > 45

range = max - min = G-A = 35

G-A = 35 solves to G = 35+A

We can update the set to

A,12,12,  16,  45,45,35+A

-------------------

Now to figure out what "A" is.

The bit of info we haven't used yet is the mean.

Recall the mean has us add up the numbers and then divide by the number of values.

mean = (sum of the values)/(number of values)

mean = (A+B+C+D+E+F+G)/7

mean = (A+12+12+16+45+45+35+A)/7

mean = (2A+165)/7

Set that equal to the stated mean of 23 so we can solve for "A".

mean = (2A+165)/7

(2A+165)/7 = 23

2A+165 = 7*23

2A+165 = 161

2A = 161-165

2A = -4

A = -4/2

A = -2

That's not good. We should have gotten a positive whole number for "A". Since "A" is negative, it means there is a typo somewhere in the given instructions.

It's impossible to have a family of 7 people where the mean age is 23, the median is 16,  the modes are 12 and 45, and the range is 35. At least one of those starting values needs to change. If for instance the "45"s were changed to "41", then the equation above would solve to A = 2.

I would ask your teacher for clarification.

The new function g(x) after performing the given transformations is g(x) = (x - 93)² + 98

From the question, we have the following parameters that can be used in our computation:

f(x) = x²

The transformation that shifts it upward 98 units is g(x) = f(x) + 98,

While the transformation that shifts it 93 units to the right is g(x) = f(x - 93).

To apply both transformations, we can first shift the function f(x) to the right by 93 units:

g(x) = f(x - 93) = (x - 93)²

Then we can shift the resulting function upward by 98 units:

g(x) = (x - 93)² + 98

Hence, the new function g(x) is: g(x) = (x - 93)² + 98

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\(\Huge \bf \over \rightarrow\mid\mathcal {\underline{ \orange{12 \: : \: 00}}} \mid\)

Answer:

I think 10:45 is the nearest quarter hour.

Answer:

a) The maximum Jenna's employer will allow for her contribution is $24,000.

b) The maximum contribution she could make is $22,000.

c) Her employer's maximum contribution amount is $8,640.

Step-by-step explanation:

a) What is the maximum Jenna's employer will allow for her contribution?

The maximum Jenna's employer will allow for her contribution = Jenna's annual salary * Maximum percentage allowed by her employer = $96,000 * 25% = $24,000

b) What is the maximum contribution she could make?

The maximum contribution she could make = The maximum allowable contribution to any 401K for the year in question = $22,000

c) What is her employer's maximum contribution amount?

Her employer's maximum contribution amount = Jenna's annual salary * 9% = $96,000 * 9% = $8,640