A triangle has angles measureing 40 and 30. What is the measure of the third angle

Answer (assuming that the shape is a right triangle):

If looking for the hypotenuse: 21.63

If looking for one leg, given other leg is 12, and the hypotenuse is 18: 13.42

Step-by-step explanation:

Given the length of two sides of a right triangle, we can use the pythagorean theorem to find the length of the third side. The pythagorean theorem is [tex]a^{2} + b^{2} = c^{2}[/tex] or [tex]c=\sqrt{(a^{2} + b^{2})}[/tex]. Given this question, I do not know what side of the triangle the problem is looking for, I would assume the hypotenuse, so let's do that first.

[tex]c = \sqrt{(12^{2} +18^{2})} \\c = \sqrt{468} \\c = 21.63[/tex]

Or we can manipulate the equation to find different scenarios of possible legs. Such equation that can be used is [tex]a = \sqrt{c^2 - b^2}[/tex], where c is the hypotenuse.

Only one scenario is possible, with the hypotenuse being 18 because the hypotenuse cannot be less than one of the legs, or that leg basically becomes the hypotenuse because such side is the largest (12 < 18).

So our last scenario is, if we are looking for one leg, given other leg is 12, and the hypotenuse is 18.

[tex]a = \sqrt{18^2-12^2} \\a = \sqrt{180} \\a = 13.42[/tex]

These are our possible answers.

The other dimension is the width of the rectangle

The other dimension is 51 centimeters

The given parameters are:

Area = 306 square centimeters

Length = 6 centimeters

The area of the rectangle is calculated as:

Area = Length * Width

This gives

306 = 6 * Width

Divide both sides by 6

51 = Width

Hence, the other dimension is 51 centimeters

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Answer:

the answer is B 0.760

Step-by-step explanation:

i did the test.

Answer:

p > 8

Step-by-step explanation:

p - 2 > 6

Add 2 to each side

p > 8

Answer:

96 inches

Step-by-step explanation:

The answer is 96 inches because you have to multiply, 4x6 to get 24 then, since you have four band member pictures,you have to multiply it by four. So it will cover 96 inches.

Answer:

Maximum

Step-by-step explanation:

At the vertex the function is at aits maximum value.

Answer:

​x​³ + 9x² + 16x - 6

Step-by-step explanation:

First, you have to multiply x + 3 with x² + 6x - 2.

(x + 3)(x² + 6x - 2)

You will get:

x · x² = x³

x · 6x = 6x²

x · -2 = -2x

3 · x² = 3x²

3 · 6x = 18x

3 · -2 = -6

When you combine these, you get:

x³ + 6x² - 2x + 3x² + 18x - 6

Add them up to get your answer,

x​³ + 9x² + 16x - 6.

Hope this helps!

After 23 years $125.32 will be matured to $46,683.28.

The formula for Recurring maturity is given by:

[tex]A=Pn +\frac{ P*n*(n+1)}{24} *\frac{r}{100}[/tex]

Where A=matured amount

P =Principal value

n=Number of months

r=Interest rate(annual)

We have P= $125.32

n=23*12 = 276 months

r=2.5*12 =30%

Put these values in the above formula

we get A= $46,683.28

Therefore, After 23 years $125.32 will be matured to $46,683.28.

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Answer:

A.12x2 −6; 21 inches

Step-by-step explanation:

The perimeter  of the triangle is 21inches and the expression can be used to find the perimeter of the triangle is 12x^2 −6

The perimeter of a triangle is the sum of all its sides as shown

P = s1 + s2 + s3

Given the following

s1 = 4x^2 - 3

s2 =4x^2 - 2

s3 = 4x^2 - 1

x = 1.5

Take the sum of the sides

P = 12x^2 - 6

Substitute x = 1.5

P = 12(1.5)^2 - 6

P = 21 inches

Hence the perimeter  of the triangle is 21inches and the expression can be used to find the perimeter of the triangle is 12x^2 −6

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Answer:

[tex]10.67\pi[/tex] OR [tex]33.49[/tex]

Step-by-step explanation:

Volume of a Sphere: [tex]\frac{4}{3} *\pi*r^3[/tex]

Radius = 2

[tex]\frac{4}{3} *\pi*r^3[/tex]

[tex]\frac{4}{3} *\pi*2^3[/tex]

[tex]\frac{4}{3} *\pi*8[/tex]

[tex]10.67\pi[/tex]

OR

[tex]\frac{4}{3} *\pi*r^3[/tex]

[tex]\frac{4}{3} *3.14*2^3[/tex]

[tex]\frac{4}{3} *3.14*8[/tex]

[tex]\frac{4}{3} *25.12[/tex]

[tex]33.49[/tex]

Hope this helps!

Answer:

6.002722642yd

Step-by-step explanation:

Area to Radius:

Area of a circle = (pi)r(squared)

28.3= pi x r2

28.3/pi = r2

9.0081...=r2

square root of 9.0081...= radius

radius= 3.001361321yd*

Radius to Diameter:

diameter = radius x 2

d = 3.001361321* x 2

d = 6.002722642yd*

*i used the full numbers after the decial point because i didnt know if it had to be to like 1 or 2 decimal places or even 3 so i left it like that just in case but you can just write 3 x 2 or 6yd as your final answer!

Hope this helped :)

Time:-

Time started=6AM

time to reach:-

Using the z-distribution, as we are working with a proportion, it is found that the 83% confidence interval is (0.5789, 0.7611).

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have an 83% confidence level, hence[tex]\alpha = 0.93[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.83}{2} = 0.915[/tex], so the critical value is z = 1.37.

The other parameters are [tex]n = 50, \pi = 0.67[/tex].

Then, the bounds of the interval are given as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 - 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.5789[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 + 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.7611[/tex]

The 83% confidence interval is (0.5789, 0.7611).

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Answer:

CI = (57.89%, 76.14%)

Step-by-step explanation:

First, solve for the 83% critical z-value (za/2). Second, solve for the margin of error. Third, solve for the confidence interval by subtracting and adding the margin of error with the sample probability of success.

The total amount of money that was spent by Noel to cash her three (3) most recent paychecks is equal to $10.99.

A paycheck can be defined as a financial document that is issued by an employer to an employee as payment for the work done over a period of time.

From the table, we can see that the amount of money charged by the bank as check processing fee is equal to $1.99, as well as 1.99% (0.0199) of the amount being cashed by a customer.

Thus, we would compute the amount of money spent by Noel as follows:

Noel = (0.0199 × 100.53) + (0.0199 × 119.38) + (0.0199 × 122.52) + (1.39 × 3)

Noel = 2.00 + 2.38 + 2.44 + 4.17

Noel = $10.99.

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Answer:

75°

Step-by-step explanation:

180°-105°=75°

Hope this helps!

If not I am sorry.

Answer:

8,070 meters

Step-by-step explanation:

First we add :)

410 + 370 = 780

Now we subtract :)

8,850 - 780 = 8070

Have an amazing day!!

Please rate and mark brainliest!!!

Answer:

17 and 20

Step-by-step explanation:

Write down the next two terms of the number pattern 2, 5, 8, 11, 14

Looking at the numbers, we can tell that they are increasing by 3:

2 + 3 = 5

5 + 3 = 8

8 + 3 = 11

11 + 3 = 14

14 + 3 = 17

17 + 3 = 20

Hope this helps!

Answer:

144

Step-by-step explanation:

Since there are 48 fluid-ounce in a cup, we can do 6 x 48

6 x 48 = 288

Now we know how much fluid ounces are in the 6 cups we can divide by the honey bear ( 2 fluid ounce ).

288/2 = 144

Answer:

Step-by-step explanation:

According to angle bisector theorem we get the following ratio:

Substitute the lengths and solve for x:

Use angle bisector theorem

Answer:

11/5

Step-by-step explanation:

y2-y1/x2-x1

= -3-8/4-9

= -11/-5

= 11/5

Answer:

R

Step-by-step explanation:

If you count the tiks by 10 instead of ones, Q is less than 50, and S and T are both larger than 60. Therefore, R is the only possible answer.

Hope this helped <3 Brainliest please :)

Answer:

Answer B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The answer is 16.4 inches

Step-by-step explanation:

The result is calculated by adding all the values together. 3.3+10.6+2.5=16.4

Step-by-step explanation:

the average change rate of a function f(x) in an interval [x1 .. x2] is

(f(x2) - f(x1)) / (x2 - x1)

in our case that is

(7000 - 2500) / (20 - 0) = 4500 / 20 = 225

the population changed in average by 225 people per year from 1900 to 1920.

Answer:

(B (4, 7 ) = (1, 12 )

Step-by-step explanation:

given

B (x, y ) = (x - 3, y + 5 ) , then

B (4, 7 ) = (4 - 3, 7 + 5 ) = (1, 12 )

Answer:

w = 60

Step-by-step explanation:

the midsegment SU is half the measure of side RV , then

SU = [tex]\frac{1}{2}[/tex] RV , so

w - 30 = [tex]\frac{1}{2}[/tex] w ( multiply through by 2 to clear the fraction )

2w - 60 = w ( subtract w from both sides )

w - 60 = 0 ( add 60 to both sides )

w = 60

The 4 sides of a square are usually the same and the side length of squares 4 and 5 is a+b.

From the diagram, each side is called the side length. Therefore,

If the side lengths are equal that is (a + b), then the area which is the square of the side length will also be the same.

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Answer:

  6.03 years

Step-by-step explanation:

The value of the Range Rover decreases 25% per year, so its value "growth" factor is 1-25% = 0.75. The initial value is 60,000, so its exponential value function can be written ...

  r(x) = 60000(0.75^x)

The Honda has a "growth" factor of 18000/20000 = 0.90 and an initial value of 20,000, so its exponential value function can be written ...

  h(x) = 20000(0.90^x)

__

We want to find x such that h(x) > r(x).

  20000(0.90^x) > 60000(0.75^x)

  0.90^x > 3(0.75^x) . . . . . . . divide by 20000

  (0.90/0.75)^x > 3 . . . . . . . . divide by 0.75^x

  x > log(3)/log(1.2) . . . . . . . . take logs, divide by log(1.2)

  x > 6.025685

It will take about 6.03 years for the Honda to be worth more.

The dimensions of the reduced rectangle are 5(length) and 4(width).

The original length of the rectangle= 20

The original width of the rectangle=16

It is the factor by which the size or dimension of an object is dilated.

Reduced length/Original length = 0.25

Reduced length = 0.25 * original length

Reduced length = 0.25 * 20

Reduced length = 5

Reduced width/Original width = 0.25

Reduced width = 0.25 * original width

Reduced width = 0.25 * 16

Reduced width = 4

Therefore, the dimensions of the reduced rectangle are 5(length) and 4(width).

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