1. A triangle has two angles that measure 50° and 40°. The third angle is not labeled yet. Mark each of the
statements that are true about it.
All sides have different lengths
Two sides have the same length
The third angle measures 90°
The third angle measures 110°
The third angle measures 50°

Answer:

Area of the shaded region is 104.96 m².

Step-by-step explanation:

Firstly, finding the area of circle with radius 8 cm by substituting the values in the formula :

[tex]{:\implies{\tt{A_{(Circle)} = \pi {r}^{2}}}}[/tex]

[tex]{:\implies{\tt{A_{(Circle)} = 3.14{(8)}^{2}}}}[/tex]

[tex]{:\implies{\tt{A_{(Circle)} = 3.14{(8 \times 8)}}}}[/tex]

[tex]{:\implies{\tt{A_{(Circle)} = 3.14{(64)}}}}[/tex]

[tex]{:\implies{\tt{A_{(Circle)} = 3.14 \times 64}}}[/tex][tex]{:\implies{\tt{A_{(Circle)} = 200.96 \: {m}^{2} }}}[/tex]

Hence, the area of circle is 200.96 m².

[tex]\begin{gathered}\end{gathered}[/tex]

Secondly, finding the area of rectangle with length and breadth by substituting the values in the formula :

[tex]{:\implies{\tt{A_{(Rectangle)} = l \times b}}}[/tex]

[tex]{:\implies{\tt{A_{(Rectangle)} = 12 \times 8}}}[/tex]

[tex]{:\implies{\tt{A_{(Rectangle)} = 96 \: {m}^{2}}}}[/tex]

Hence, the area of rectangle is 96 m².

[tex]\begin{gathered}\end{gathered}[/tex]

Now, finding the area of shaded region by substituting the values in the formula :

[tex]{:\implies{\tt{A_{(Shaded)} = A_{(Circle)} - A_{(Rectangle)}}}}[/tex]

[tex]{:\implies{\tt{A_{(Shaded)} = 200.96 - 96}}}[/tex]

[tex]{:\implies{\tt{A_{(Shaded)} = 104.96 \: {m}^{2}}}}[/tex]

Hence, the area of shaded region is 104.96 m².

[tex]\rule{300}{2.5}[/tex]

Answer:

The volume of the cylinder is 785.4 cubic feet.

Answer:

26 million

Step-by-step explanation:

x = total number in million

28% * x = 7.2

so x = 7.2/0.28 = 25.7 ≈ 26

Answer:

2 times. 3.9x2=7.8

Step-by-step explanation:

3+3=6

0.9+0.9=1.8

6+1.8=7.8

Answer:

The horizontal line is to the y-axis

Using the normal distribution, it is found that there is a 0.0228 = 2.28% probability that X will be smaller than 80.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The probability that X will be smaller than 80 is the p-value of Z when X = 80, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{80 - 100}{10}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228.

0.0228 = 2.28% probability that X will be smaller than 80.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

x=60°

Step-by-step explanation:

The Sum of all sides of a pentagon is 540°

And in the figure there are 2 sides with 150° and 90°

Now we have,

[tex]90+90+150+150+x=540\\\\480+x=540\\\\x=540-480\\\\x=60[/tex]

Answer:

63 degrees

Step-by-step explanation:

angle B and angle D are opposite interior angles, and therefore they have the same measurements. IM NOT SURE IF THIS IS THE CORRECT EXPLANATION, I LEARNED THIS A REALLY LONG TIME AGO AND SO I KIND OF FORGOT!!! SORRY

Answer: 36/5= 7.2 days to complete sanaya work day

Step-by-step explanation:

Answer:

it's 6x+28

4 divide by 2 is 2

30 minus 2 is 28

Put together and hey 6x+28

Step-by-step explanation:

hope this helps

Answer:

it something i know that much

Step-by-step explanation:

Solution:

We know that the formula to write the equation of a circle is (x – h)² + (y – k)² = r², where:

First, let's find the radius of the circle. We know that the diameter of the circle is ten units. The radius is half of the diameter. This means that the radius is five units because it is half the diameter, which is ten units.

Creating the equation:

Hence, the equation to form a circle with center (-6, 2) and diameter 10 is (x + 6)² + (y – 2)² = 5².

Image attached~

Learn more: https://brainly.com/question/26573763

Answer:

1.5 as decimal, 1 1/2 as a fraction

Step-by-step explanation:

1. convert 2 5/6 & (-1 4/12) to a improper fraction.

17/6 and  -16/12

2. multiply 17/6 by 2 to match -16/12's denominator

17/6 * 2 = 34/12

We now have

34/12 + -16/12

A positive number plus a negative number is the same thing as subtraction so we remove the negative sign and replace the plus with a minus sign.

We have:

[tex]\frac{34}{12}-\frac{16}{12}[/tex]

Now solve. 34-16 = 18

our answer is 18/12

Answer:

factorize(35) = 5 x 7

Step-by-step explanation:

Answer: the answer is 2

Step-by-step explanation:

1. 5 x 2 = 10

2. 12 -10 = 2

hope this helps!!

The value for the given right triangle of [tex]x[/tex] is [tex]\pm \sqrt{2}[/tex].

By Pythagorean theorem and some algebraic handling, we have the following second order polynomial:

[tex](x-1)^{2}+(x+1)^{2} = 2.5^{2}[/tex] (1)

Where [tex]x[/tex] is the desired variable.

[tex](x^{2}-2\cdot x +1)+(x^{2}+2\cdot x +1) = 2.5^{2}[/tex]

[tex]2\cdot x^{2}+2 = 2.5^{2}[/tex]

[tex]2\cdot x^{2}-4.25= 0[/tex]

[tex]x = \pm \sqrt{2}[/tex]

The value for the given right triangle of [tex]x[/tex] is [tex]\pm \sqrt{2}[/tex]. [tex]\blacksquare[/tex]

The statement is incomplete. Correct form is shown below:

Suppose you are given a triangle with hypotenuse of length 2.5 and legs of length [tex]x-1[/tex] and [tex]x+1[/tex]. Determine the value of [tex]x[/tex].

To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/17822016

Answer:

I believe that's the solution!

sorry for my letters...

Answer:

a 31. w 55. X 60 y 46

Step-by-step explanation:

Answers in angles

Answer:

D(-2,5)

Step-by-step explanation:

Point D has the same x coordinate as point C and has the same y coordinate as the point A

Hi!

We want to find the x and y value for point D.

We can see that point C is the same amount to the left as point D. That means they will have the same x-value.

Furthermore, we can see that point A is the same amount up as point D. That means that they will have the same y-value.

We will use the given coordinates, (x, y).

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

The x-value of point C is -2, and the y-value of point A is 5.

That means that the coordinates of point D are (-2, 5).

Answer:

3

Step-by-step explanation:

[tex]\frac{18}{2a}[/tex]

a = 3

[tex]\frac{18}{2(3)}[/tex]

multiply 2 and 3

2 * 3 = 6

[tex]\frac{18}{6}[/tex]

simplify

18/6 = 3

Answer:

A

Step-by-step explanation:

when X = 0 then

1 - 1/ (1 - 3)*(1+1)

0/ -4

0

Answer:

Side = 5ft Side = 15 ft side = 3 ft

Step-by-step explanation:

Answer:

yes. by angle sum property.

Step-by-step explanation:

did not understood the question well but hope its useful.

Answer:

The Diver has to dive 20.02 ft at every interval.

Step-by-step explanation:

10 intervals → 200.2

1 interval → 200.2/10

1 interval → 20.02

Answer:

ok so frog a travels at a rate of 1 ft every 30 seconds

which frog b travels 2 feet every second so

Frog A: 1/30

Frog B: 2/1 or 2

so Frog B will win

Hope This Helps!!!

Answer:

[tex]\frac{1}{2} x - 4[/tex]

Step-by-step explanation:

Perpendicular lines will have slopes that are the multiplicative additive inverse of each other: a line with slope 3/4 is perpendicular to a line with slope -4/3, for example.  You need a line that is perpendicular to a line with slope -2 (reading that from the -2 in the -2x portion of the given equation, which is written in slope-intercept form), so your new line must have slope +1/2.

With the slope and a point, we can come up with an equation using this formula:

y - y-coordinate = slope (x - x-coordinate)

So we have y - (-2) = 1/2 (x - 4).

Simplify the equation:  y + 2 = 1/2 x - 2

Subtract 2 from both sides: y + 2 - 2 = 1/2 x - 2 - 2

Simplify: y = 1/2 x - 4.

Answer: 6/1

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

2 presents per 4 minutes is 30 presents per hour multiplied by 6 hours is 90 presents

Answer:

Exact: 3 2/9

Estimated: 3

Step-by-step explanation:

1/3=3/9, so just convert it to that, then do some simple subtraction.