List the steps taken to find the area of a triangle. Find the area of the
criangle.
10 in
17 in

9514 1404 393

Answer:

Step-by-step explanation:

In step 1 Angela used the distributive property to eliminate both sets of parentheses. In step 2, she found each of the products she indicated in step 1. In step 3, she combined like terms.

Answer:

the answer is a,d,e

Step-by-step explanation:

Answer: scalene and right

Step-by-step explanation:

Answer:

Step-by-step explanation:

mabey its c

The equation which is equivalent to [tex]2^{\frac{2}{3} }[/tex] will be equal to [tex]\sqrt[4]{2^3}[/tex]. Hence, option C is correct.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.

Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given information in the question,

[tex]2^{\frac{2}{3} }[/tex] = 1.68

Now, let's check the options,

A.

[tex](2^{\frac{1}{4} } )^{\frac{1}{2} }[/tex] = 1.09 ≠ 1.68, hence this is incorrect.

B.

[tex]2\frac{1}{4}*2\frac{1}{2}[/tex] = 9/4 × 5/2 = 5.625 ≠ 1.68, hence, this is incorrect.

C.

[tex]\sqrt[4]{2^3}[/tex] = 1.68 = 1.68, hence, this is correct.

D.

√8 = 2.82 ≠ 1.68, hence, this is incorrect.

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Answer:

[tex] y = \frac{ 2}{ 3} x - 2[/tex]

Step-by-step explanation:

[tex]2x - 3y = 6 \\ - 3y = - 2x + 6 \\ \\ y = \frac{ - 2}{ - 3} x + \frac{6}{ - 3} \\ \\ \huge \purple{ \boxed{ y = \frac{ 2}{ 3} x - 2}} \\ this \: is \: in \: the \: slope - intercept \: form.[/tex]

Answer:

y = 2/ 3 x − 2

Step-by-step explanation:

slope intercept is y=mx+b

Answer:

By the Chebyshev Theorem, at least 75% of commuters in Boston has a commute time within 2 standard deviations of the mean

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

What minimum percentage of commuters in Boston has a commute time within 2 standard deviations of the mean

By the Chebyshev Theorem, at least 75% of commuters in Boston has a commute time within 2 standard deviations of the mean

95% of commuters in Boston has a commute time within 2 standard deviations of the mean

Empirical rule states that for a normal distribution, 68% of the values are within one standard deviation from the mean, 95% of the values are within two standard deviation from the mean and 99.7% of the values are within three standard deviation from the mean.

Hence, 95% of commuters in Boston has a commute time within 2 standard deviations of the mean

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Answer:

Both F and Z have symmetry.

Answer:  A

Step-by-step explanation:

To multiply matrices, multiply each term in Row 1 of the first matrix with each term in Column 1 of the second matrix and then find their sum.  Repeat for Row1×Column2, Row2×Column1, and Row2×Column2.

[tex]\left[\begin{array}{ccc}1&4&-1\\3&2&2\end{array}\right] \times \left[\begin{array}{cc}2&-1\\0&3\\5&2\end{array}\right] \\\\\\=\left[\begin{array}{ccc}1(2)+4(0)-1(5)&1(-1)+4(3)-1(2)\\3(2)+2(0)+2(5)&3(-1)+2(3)+2(2)\end{array}\right] \\\\\\=\left[\begin{array}{cc}-3&9\\16&7\end{array}\right][/tex]

Answer:

Step-by-step explanation:

Let P=Mount Peak

Let K=Mount Killimanjaro

The equation should then be

12555=P+K    ...1

P=K+765   ... 2

sub equation 2 into 1

12555=P+P+765

12555=2P+765

12555-765=2P+765-765               (subtracting 765 from both sides)

11790=2P

P=5895, now that we know P

we just make a new equation that was similiar to 1

12555=5895+K

K=6660

the height of Mount K is 6660 Metres

Answer:

10,16,13

Step-by-step explanation:

got that right

The lengths of the sides of the triangle after the dilation is 13 , 10 and 16 respectively

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

Given data ,

Let the triangle be represented as ABC

Now , the dilated triangle is represented as A'B'C'

The dilation scale factor is d = 1/3

The measure of side AC = 39

The measure of side AB = 30

The measure of side BC = 48

Now , after the dilation of 1/3 , we get

The measure of side A'C' = 39 ( 1/3 ) = 13

The measure of side A'B' = 30 ( 1/3 ) = 10

The measure of side B'C' = 48 ( 1/3 ) = 16

Hence , the dilation triangle is having lengths 13 , 10 and 16

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Answer:

[tex]\sqrt{17}[/tex] or ≈4.12

Step-by-step explanation:

Use the distance formula

d= √(x₂ - x₁) ² + (y₂-y₁) ²

d= √(4-0)² + (1-0)²

d= √16 + 1

d= √17

Answer:

4

Step-by-step explanation:

[tex] \because \: f(4) = 2 \\ \therefore \: {f}^{ - 1} (f(4)) = {f}^{ - 1} (2) \\ \therefore \: 4 = {f}^{ - 1} (2) \\ \huge \red{ \boxed{{f}^{ - 1} (2) = 4}}[/tex]

Answer:

4 four

Step-by-step explanation:

hope it helps you

Answer:

  A. right

Step-by-step explanation:

Replacing x with (x-h) in a function shifts the graph to the right h units.

__

See the attachment for an example.

Answer:the answer would be 4. Hope this helps.

Step-by-step explanation:

Using the formula of union of three events, the number of patrons who didn't like any of given coffee drinks = 4.

Union of three events : P(A ∪ B ∪ C) = P(A) + P(B) + P(C) − P(A ∩ B) − P(A ∩ C) − P(B ∩ C) + P(A ∩ B ∩ C).

n (latte ∩ espressos) = 14

n (espressos ∩ cappuccinos) = 11

n (lattes ∩ cappuccinos) = 7

n (latte ∩ espressos ∩ cappuccinos) = 3

n (lattes) = 22

n (espressos) = 30

n (cappuccinos) = 23

n(latte ∪ espressos ∪ cappuccinos) =

= n (lattes) + n (espressos) + n (cappuccinos) - n (latte ∩ espressos) - n (espressos ∩ cappuccinos) - n (lattes ∩ cappuccinos) + n (latte ∩ espressos ∩ cappuccinos)

= 22 + 30 + 23 - 14 - 11 - 7 + 3

= 46

n (universe) = 50

Number of patrons who didn't like any of these drinks =  

= n (universe) - n (latte ∪ espressos ∪ cappuccinos) = 50 - 46 = 4

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Answer:   -9  ≤ f(6) - f(3)  ≤ 15

Step-by-step explanation:

In order to use the Mean Value Theorem, it must be continuous and differentiable. Both of these conditions are satisfied so we can continue.  

Find f(6) - f(3) using the following formula:

[tex]f'(c)=\dfrac{f(b)-f(a)}{b-a}[/tex]

Consider:    a = 3, b = 6

[tex]\text{Then}\ f'(c)=\dfrac{f(6)-f(3)}{6-3}\\\\\\\rightarrow \quad 3f'(c)=f(6) - f(3)[/tex]          

Given: -3 ≤  f'(x)  ≤ 5

          -9  ≤ 3f'(c) ≤ 15    Multiplied each side by 3

→   -9  ≤ f(6) - f(3)  ≤ 15  Substituted 3f'(c) with f(6) - f(3)

88°

Step-by-step explanation:

sum of angle=720

95+120+120+172+125+x=720

632+x=720

×=720-632

x=88

Answer:

[tex] \boxed{x \degree = 88 \degree} [/tex]

Step-by-step explanation:

Sum of the interior angles of a hexagon is 720°

[tex] = > x \degree + 172 \degree + 120 \degree + 95 \degree + 120 \degree + 125 \degree = 720 \degree \\ \\ = > x \degree + 172 \degree + 240 \degree + 220 \degree = 720 \degree \\ \\ = > x \degree + 172 \degree + 460 \degree = 720 \degree \\ \\ = > x \degree + 632 \degree = 720 \degree \\ \\ = > x \degree = 720 \degree - 632 \degree \\ \\ = > x \degree = 88 \degree[/tex]

Answer:

AOB = 73

BOC = 107

Step-by-step explanation:

So make an equation.

9x + 27 = 180

9x = 153

x = 17

AOB = 73

BOC = 107

Answer:

The 80% confidence interval for the the population mean nitrate concentration is (0.144, 0.186).

Critical value t=1.318

Step-by-step explanation:

We have to calculate a 80% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=0.165.

The sample size is N=25.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

[tex]s_M=\dfrac{s}{\sqrt{N}}=\dfrac{0.078}{\sqrt{25}}=\dfrac{0.078}{5}=0.016[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=25-1=24[/tex]

The t-value for a 80% confidence interval and 24 degrees of freedom is t=1.318.

The margin of error (MOE) can be calculated as:

[tex]MOE=t\cdot s_M=1.318 \cdot 0.016=0.021[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=M-t \cdot s_M = 0.165-0.021=0.144\\\\UL=M+t \cdot s_M = 0.165+0.021=0.186[/tex]

The 80% confidence interval for the population mean nitrate concentration is (0.144, 0.186).

Answer:

n = 3 or n = 4

Step-by-step explanation:

Let the unknown number be n.  

Then:

n² = 7n - 12

In standard quadratic form, we have:

n² - 7n + 12 = 0

In factored form, we have:

(n - 3)(n - 4) = 0, and so

n = 3 and n = 4

Answer: [tex]\frac{21}{4}[/tex]

Step-by-step explanation:

Multiply each side by 2 to get rid of the fraction on the right side. That basically gets rid of the 1/2 and the 2.

Youre now stuck with 2x + y = 21. They gave us y which is 2x. 2x + 2x = 4x

You now have 4x = 21

Divide each side by 4 to get x = 21/4

Answer:

D

Step-by-step explanation:

When there is an negative sign inside in a radical, then we remove that and put out of the radical classifying as "i". Then, reduce 63 into smallest form and we can write it as 9 and 7. 9 is a perfect square of 3 so we put it outside and the answer is D.

Answer:

2x+11

Step-by-step explanation:

2(x+3)+5

Distribute

2x+ 6 +5

Combine like terms

2x+11

Answer:

2x + 11

Step-by-step explanation:

First distribute 2 to the x + 3

2x + 6 + 5

Combine the constants

6+5=11

2x + 11

The simplified expression is 2x + 11

Answer:

1) 48 years.

2) Question incorrect.

11 isn't a factor of 64, and 368 isn't a multiple of 64. 11 also isn't a factor of 368, hence, it would be impossible to find the unknown second number with all of these false information in the question.

Step-by-step explanation:

Let the ages of Kissi, Esinam and Lariba be x, y and z respectively.

Ratio of the ages of Kissi and Esinam is 3:5

x:y = 3:5

(x/y) = (3/5)

5x = 3y

x = (3y/5) (eqn 1)

Ratio of the ages of Esinam and Lariba is 3:5

y:z = 3:5

(y/z) = (3/5)

5y = 3z

z = (5y/3) (eqn 2)

The sum of their 3 ages is 147

x + y + z = 147 (eqn 3)

Substituting the values of x and z from eqn 1 and 2 into eqn 3, we have

(3y/5) + y + (5y/3) = 147

(49y/15) = 147

y = (147×15/49) = 45.

x = (3y/5) = (3×45/5) = 27

z = (5y/3) = (5×45/3) = 75

The ages of Kissi, Esinam and Lariba are then 27, 45 and 75 respectively.

The difference in the ages of the oldest amf the youngest is thus, 75 - 27 = 48 years.

2) This question seems to be faulty and incorrect as 11 isn't a factor of 64, and 368 isn't a multiple of 64. 11 also isn't a factor of 368, hence, it would be impossible to find the unknown second number with all of these false information in the question.

Hope this Helps!!!

Answer:

A=450

Step-by-step explanation:

A=a+b

2h=12+33

2·20=450

Answer:

Area=450

Step-by-step explanation:

[tex]a+b/2h[/tex]

Answer: 50 student in the school

Step-by-step explanation: 5x10=50 so that’s the answer.

Answer:

see below

Step-by-step explanation:

(-1, -9) is a vertex or minimum.

(-4, 0) is an x-intercept / zero of the function / solution

(2, 0) is also an x-intercept / zero of the function / solution

The parabola has a minimum.

Answer:

1.7%

Step-by-step explanation:

We have to calculate the probability that the salesperson will make four or more sales if six sales calls are made on a given day, that is:

P (x => 4)

Therefore, we must calculate when x = 4, when x = 5, and when x = 6 and add. p = 0.2, n = 6

P (x = r) = nCr * p ^ r * (1 - p) ^ (n-r)

Also, nCr = n! / (r! * (n-r) !, now replacing:

P (x = 4) = 6! / (4! * (6-4)! * 0.20 ^ 4 * 0.80 ^ (6-4)

P (x = 4) = 15 * 0.001024 = 0.01536

P (x = 5) = 6! / (5! * (6-5)! * 0.20 ^ 5 * 0.80 ^ (6-5)

P (x = 5) = 6 * 0.000256 = 0.001536

P (x = 6) = 6! / (6! * (6-6)! * 0.20 ^ 6 * 0.80 ^ (6-6)

P (x = 6) = 1 * 0.000064 = 0.000064

now,

P (x => 4)  = P (x = 4) + P (x = 5) + P (x = 6)

P (x => 4)  = 0.01536) + 0.001536 + 0.000064

P (x => 4) = 0.01696 = 0.017

It means that the probability is 1.7%

Answer:

C

Step-by-step explanation:

I explained in my last answer but someone deleted it

By completing the square the function will be, g(x)=4(x-2)²-9

The standard form of the quadratic equation will be ax²+bx+c=0.

Equate the given equation with standard form of equation and determine the values of a, b, and c.

a=4

b=-16

c=7

For completing the square, add and subtract [tex]\frac{b^2}{4a}=\frac{(-16)^2}{4\times4}=16[/tex] in the given equation.

g(x)=4x²-16x+16-16+7

g(x)=(4x²-16x+16)-9

g(x)=4(x²-4x+4)-9

The term x²-4x+4 is equivalent to (x-2)².

g(x)=4(x-2)²-9

So, the given function is same as g(x)=4(x-2)²-9.

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Steps:

All cans take on the shape of a cylinder, unless you have seen interesting shape of cans like a starfish.

The formula for surface area of a cylinder is

SA = 2πr2 + 2πrh

where:

r = radius

h = height

Since we know the surface area and height, we can plug them in.  Note that we can factor out the 2π.  You will see why we factor out 2π rather than 2πr.

2π(r2 + (20)r) = 396

2π(r2 + 20r) = 396

Divide both sides of the equation by 2π to isolate the r terms.

r2 + 20r = 63.025    

Subtract 63.025 on both sides of the equation.

r2 + 20r - 63.025 = 0

Use the quadratic formula to solve for r:

r = (-b ± √(b2 - 4ac)) / 2a

where:

a = 1

b = 20

c = -63.025

Plug in these values into the formula.  You should get two solutions because of the plus/minus sign.  Accept the positive value of r.

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Hope this helps.