The length of a rectangular room is 5 feet longer than twice the width If the room's perimeter is 166 feet, what is the length?
A. 67 feet
B. 44 feet
C. None of these
D. 114 feet
E. 57 feet

Answer:

Step-by-step explanation:

This problem is about random experiments.

Random experiments are defined as experiments where the outcome can't be predicted. To ensure that result, the subjects are selected randomly. So, in this case, the right answer must be a situation where subjects are randomly present.

People taking the bus is a random experiment, because there's no the exact subjects in a bus at any time, it happens randomly.

Also, the winner of a sport league is also a random experiment, because it happens after several games which cannot be predicted.

Therefore, the right answers are a and c.

Answer:

26771.8115

Step-by-step explanation:

24500(1.03)=25235 then continue doing this 2 more times and you get 26771.8115

Answer:

The missing side is 22.98, or rounded to the nearest tenth, 23

The angles are 90, 40.37, and 49.63

Step-by-step explanation:

We can use the Pythagorean theorem to solve this problem;

[tex]a^2 + b^2 = c^2[/tex]

Since a = 14.9 and b= 17.5, we need to find the missing side, or c

[tex]14.9^2 + 17.5 ^2 = c^2[/tex]

Using a calculator this gives us;

528.26 = [tex]c^2[/tex]

Now to undo [tex]c^2[/tex], we have to square root both sides

[tex]\sqrt{528.26} = \sqrt{c^2}[/tex]

22.98 = c

Now to round to the nearest tenth, we know that .9 is greater than 5, so we can round 22.98 to 23

Now to find the angles.

We know that the triangle has a hypotenuse of 23, a short side of 14.9 and a long side of 17.5.

I labeled the side opposite of 14.9, x, and I will use sin to solve for the angle.

We know that sin= opposite/hypotenuse

So, sin(x)=14.9/23

Since we want to find the angle we must use the inverse of the trig function.

[tex]sin^-^1[/tex](14.9/23) = x

By using a calculator we get

x=40.37

Now since we know that this is a right triangle, we have a 90 degree angle.

So, we can subtract from 180 to find the third angle.

180-90-40.37=49.63

The angles of the triangle are 90, 40.37 and 49.63.

Hope this helped let me know if this can be explained further or if anything is wrong! : )

Answer:

it is 279 square feet

Step-by-step explanation:

Answer:

279 sq. feet

Step-by-step explanation:

got the question correct

Edg.

Answer:

d = 5.4

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

a = 2

b = 5

2^2 + 5^2 = c^2

4 + 25 = c^2

29 = c^2

c = 5.4

Answer:

[tex]\sqrt{29}[/tex]

Step-by-step explanation:

Using pythagorean theorem you will get 5 squared plus 2 squared equals c squared. Which is 25+4= 29 = c squared. That's the answer it wont simplify any further.

Step-by-step explanation:

15 - 5n = 2n + 1

Bringing like terms on one side

15 - 1 = 2n + 5n

14 = 7n

14/ 7 = n

2 = n

Answer:

Step-by-step explanation:

First distribute. 5•3 and 5•n.

This gives you 15-5n=2n+1

Next add 5n to both sides.

This will give you 15=7n+1

Then you will subtract 1 from both sides.

14=7n

Finally you divide by 7 so you can get n by itself.

Your answer will be 2=n

You can always go back and plug your answer in to see if it works!

Answer:

cost of the fabric = $22

Step-by-step explanation:

The picture is a regular hexagonal which means it has six sides of equal length. The triangle in the hexagons are equilateral triangle. This means they have equal length. The blue portion is just like half the area of the hexagon while the white part is also half the area . Note both colors cover 3 triangle each.

area of the hexagon = 3/2 × √3 × a²

where

a = sides

area of the hexagon = 3/2 × √3 × a²

a = 5 ft

convert ft to yard

3 ft = 1 yard

5 ft = 5/3 = 1.6666666667 yards

area = 3/2 × √3 × 1.6666666667²

area of the hexagon = 7.21687836516 yard²

Half of the area is the blue section area because 3 triangle makes half of the hexagon = 7.21687836516/2 = 3.60843918258  yard². Note we can only order whole number of square fabric . Therefore, 3.60843918258 ≈ 4

blue fabric cost $3.50 per square yard.

The cost for this yard = 4  × 3.50 = $14  

white fabric cost $2 per square yard .

The cost for this yard = 4  × 2 = $8

Total cost = 14  + 8  = $22

cost of the fabric = $22

Answer:

If events A and B are independent:

P(A|B) = P(A⋂B)/P(B) = (P(A) x P(B))/P(B) = P(A)

=> Option A is correct

Hope this helps!

:)

Step-by-step explanation:

The three numbers are 23 25 and 27

23 + 25 + 27 = 75

The smallest number is 23

Answer:

355

Step-by-step explanation:

3[tex]x^{3}[/tex]-5[tex]y^{2}[/tex]=3*5³-5*2²

3*5³-5*2²=3*125-5*4

3*125-5*4=375-20

375-20=355

Answer:

355

Step-by-step explanation:

3-5=3*5³-5*2²

3*5³-5*2²=3*125-5*4

3*125-5*4=375-20

375-20=355

Answer:

[tex] -0.01 \leq p \leq 0.12[/tex]

The confidence is 0.95 or 95% and the significance would be given by: [tex] \alpha=1-0.95=0.05[/tex]/

For this case our confidence interval contains the value 0. So then we can conclude that we don't have significant differences in the the proportion of satisfied owners of AWD vehicles  from the proportion of satisfied owners of FWD at the significance level used of 5%. So then the claim that the two proportions are different is incorrect with the results obtained

Step-by-step explanation:

The confidence interval for the true proportion would be given by this formula

[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

And for this case we have the following result:

[tex] -0.01 \leq p \leq 0.12[/tex]

The confidence is 0.95 or 95% and the significance would be given by: [tex] \alpha=1-0.95=0.05[/tex]/

For this case our confidence interval contains the value 0. So then we can conclude that we don't have significant differences in the the proportion of satisfied owners of AWD vehicles  from the proportion of satisfied owners of FWD at the significance level used of 5%. So then the claim that the two proportions are different is incorrect with the results obtained

Answer:

29/35

Step-by-step explanation:

probability of choosing a boy or an A student = (boys + a students - a boys)/total -->

probability of choosing a boy or an A student = (17 + 20 - 8)/35 -->

probability of choosing a boy or an A student = 29/35

The probability of choosing a boy or an A student is equal to 29/35.

We have given that,In a math class of 35 students, 17 boys and 18 are girls.

On a unit test, 8 boys and 12 girls made an A grade.

The probability of an event can be calculated by the probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.

Probability of choosing a boy or an A student = (boys + a student- a boys)/total Probability of choosing a boy or an A student.

= (17 + 20 - 8)/35

Therefore, the probability of choosing a boy or an A student = 29/35.

To learn more about the probability visit:

https://brainly.com/question/25870256

#SPJ2

Answer:

7 + 3/8x

Step-by-step explanation:

8+7/8x−1−1/2x.

Combine like terms

8-1  +  7/8x -1/2x

7 + 7/8x -1/2x

Get a common denominator

7 + 7/8x -4/8x

7 + 3/8x

Answer: So, an Engineer will use a topography while working to locate the elevation for a given region. They provide the numerical value of an elevation. So from the list of options the closest to it is to determine the best location for a new road.

I hope this is helpful.

Answer:

B

Step-by-step explanation:

Answer:

Area of shaded region = 16π in² (D)

Step-by-step explanation:

The question is incomplete without the diagram if the circles. Find attached the diagram used in solving the question.

Area of the smaller circle = 8π in²

Area of a circle = πr²

πr² = 8π

r² =8

r = √8 = 2√2

From the diagram, there are two smaller circles in a bigger circle.

The radius of the bigger circle (R) is 2times the radius of the smaller circle (r)

R = 2r

Area of bigger circle = πR²

= π×(2r)² =   π×(2×2√2)²

= π×(4√2)² = π×16×(√2)²

Area of bigger circle = π×16×2

Area of bigger circle = 32π in²

Since there are two smaller circles in a bigger circle

Area of shaded region = Area of bigger circle -2(area of smaller circles)

Area of shaded region = 32π in² - 2(8π in²)

Area of shaded region = 32π in² - 16π in²

Area of shaded region = 16π in²

Answer:

D.

Step-by-step explanation:

Answer:

7.211

Step-by-step explanation:

Answer:

angle F

Step-by-step explanation:

so they want an angle that's on the SAME SIDE as angle D. angle C is on the opposite side of the transversal.

Angle E would be alternate interior, not same side interior.

angle B is supplementary to angle D

therefore, the answer is F

Answer:

The slope is undefined

Step-by-step explanation:

When graphed, the two points form a vertical line, since we can't divide the slope by zero thw slope is considered as undefined

Answer:

Step-by-step explanation:

A-10.0 in

B-35 in

Answer:

distance = 5 units

Step-by-step explanation:

In order to solve this problem we can start by plotting the two points you were provided with (see attached picture). This will help us visualize the problem better.

Now, we need to find the distance between those two points, so in order to do so we can use the distance formula:

[tex]distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

in this case the x's and y's are given by the given points, since they are written as ordere pairs. And ordered pairs are written in the form (x,y). So for Point C:

C=(-1,4)

[tex]x_{1}=-1[/tex]

[tex]y_{1}=4[/tex]

and for point D

D=(2.0)

[tex]x_{2}=2[/tex]

[tex]y_{2}=0[/tex]

so we can now use those values in our distance formula so we get:

[tex]d=\sqrt{(2-(-1))^{2}+(0-4)^{2}}[/tex]

[tex]d=\sqrt{(3)^{2}+(-4)^{2}}[/tex]

[tex]d=\sqrt{9+16}[/tex]

[tex]d=\sqrt{25}[/tex]

d=5 units.

Answer:

Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?

d = StartRoot (x 2 minus x 1) squared + (v 2 minus v 1) squared EndRoot

5  units

Step-by-step explanation:

Just did it on Edg

Answer:

42

Step-by-step explanation:

The perimeter of circle is same as it’s circumference.

Circumference = π * D

132 = 22/7 * D

22D = 7 * 132

22D = 924

D = 924/22

D = 42

Answer:

42.0

Step-by-step explanation:

For this question we are given the circumference of a circle which is 132 and we are asked to find diameter of the circle. We need to utilise one important formula which the circumference of a circle formula

⇒ Circumference of a circle = π × d

We need to make 132 equal to the circumference of a circle formula so then we can work out the diameter by forming an equation to solve for the diameter so,

⇒ Form the equation

→ π × d = 132

⇒ Divide both sides by π to isolate d

→ d = 42.0169049763

The diameter of the circle with a perimeter of 132 is 42.0 to 1 decimal place

Answer: 1/4

Explanation: Remember that the absolute value of a number is just the positive version of that number. So the absolute value of -1/4 is 1/4.

Answer:Use the quadratic 'Complete the Square' method

Step-by-step explanation:#x^2 - 6x +y^2 - 4y = 12

Then take 1/2 of the 'b' term for both quadratic expressions, square those values and add them to both sides.

#x^2 -6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4

(x - 3)^2 + (y -2)^2 = 25

Circle centered at (3,2) with radius = 5

Answer:

3-2x=-1.5

add -3 on both sides

-3+3-2x=-1.5+3

-2x=1.5

x=1.5/-2

Answer:

x= 9/4

Step-by-step explanation:

3 - 2x = -1.5

-2x = -4.5

x = 4.5/2

Simplified x = 9/4

Answer:1/8

Step-by-step explanation:

there are 8 slices and its asking for the probability of one number. so its 1 out of 8

Answer: 1/4

Step-by-step explanation:

3 and 6 are multiples of 3. There are 8 possible options, and 2 multiples of 3.

2/8 = 1/4

Answer:

The answer would be {y|y>0}

Step-by-step explanation:

hope this helps

Answer:

The type of triangle is this triangle is the acute isosceles triangle

Step-by-step explanation:

They are all less than 90 degrees and two of the sides are the same and two of the angles are the same

Answer:

The type of triangle is this triangle is the acute isosceles triangle

Step-by-step explanation:

bro get smart stop cheating

Answer:

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

Step-by-step explanation:

We are given a point P which lies on a unit circle

P  = (-½, y)

Where x coordinate is -½ and y coordinate is y.

We are asked to find the value of y in simplest form.

Recall that a unit circle has a radius of 1 and is centered at the origin that is (0,0).

The equation of the unit circle is given by

[tex]x^{2} + y^{2} = 1[/tex]

Since the point P lies on a unit circle, we can substitute this point into the equation of unit circle and get the value of y.

Substitute x = -½ and y = y

[tex](-\frac{1}{2} )^{2} + y^{2} = 1\\\\(\frac{1}{4} ) + y^{2} = 1\\\\y^{2} = 1 - \frac{1}{4} \\\\y^{2} = \frac{3}{4} \\\\y = \pm \sqrt{\frac{3}{4}} \\\\y = \pm \frac{\sqrt{3}}{2}} \\\\[/tex]

Assuming that the given point P lies in the 2nd quadrant, the value of y will be positive.

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

Therefore, the coordinates of the point P are

[tex]P =( -\frac{1}{2} , \frac{\sqrt{3}}{2}}) \\\\[/tex]