Solve and show each step

First you need to draw in a diagonal across the "floor" of the room connecting 2 vertices. You should draw the diagonal so that it's going in the same direction as the spider's thread; the diagonal is drawn in the wrong way if it intersects across the spider's thread.

Then you need to mark in the measures. The figures that are parallel to each other are congruent, so they have equal measures. For example, the rectangle that is parallel to the 6 by 8 one has the same measures as that one. Also, all of the walls of the room are rectangles. That means that the opposite sides of each rectangle have equal measures.

Because the diagonal divides the rectangle into 2 right triangles, you can then use the Pythagorean theorem to find the length of the diagonal that you drew in. (12 squared + 8 squared = length of the diagonal squared, and solving gives you the length of the diagonal as the square root of 208)

Finally, you can see that there is another right triangle formed with the diagonal that includes the spider's thread. With the length of the diagonal and the length of 6 ft, you can use the Pythagorean theorem to find the length of the spider's thread. (6 squared + the square root of 208 squared = length of the thread squared) The length of the spider's thread is the square root of 244, which is 15.6 ft rounded to the tenth's place.

Answer: Josh ran the farthest.

Step-by-step explanation:

1 mile = 5,280 feet

1.8 miles = 1.8 x 5,280 feet = 9,504 feet

1 yard = 3 feet

9,504 feet = 9,504 / 3 yards = 3,168 yards

So Jason ran 3,168 yards.

Since 3,200 yards is greater than 3,168 yards, Josh ran the farthest.

Answer:

Josh ran further

Step-by-step explanation:

I converted Josh's yards to miles.

[tex]\frac{3200yards}{1 }[/tex] · [tex]\frac{3 feet}{1 yard}[/tex] · [tex]\frac{1 mile}{5280feet}[/tex]  cancel out the words that you see on the top and on the bottom

[tex]\frac{3200}{1}[/tex] · [tex]\frac{3}{1}[/tex] [tex]\frac{1mile}{5280}[/tex]  Now simplify by multiplying

[tex]\frac{9600 miles}{5280}[/tex] = 1.8181... This is a repeating number

1.8181... is larger than 1.8

Helping in the name of Jesus.

Answer:

$9,660

Step-by-step explanation:

$23 x $420 = $9,660

Answer:

B 30°

Step-by-step explanation:

come now.

the sum of all angles around one point on one side of a line is 180°.

why ?

because any line with a point can be seen as a diameter of a circle with that point as center.

and every side of the line represents then a half-circle.

and a half-circle stands for 360/2 = 180°.

so,

180 = (2x + 70) + (x - 10) = 2x + 70 + x - 10 = 3x + 60

120 = 3x

x = 40

2x + 70 = 2×40 + 70 = 80 + 70 = 150°

x - 10 = 40 - 10 = 30°

180 = Q + (2x + 70) = Q + 150

30° = Q

Answer:

The distance between these two points is 4 units.

Answer:

4 units

Step-by-step explanation:

There are only 4 units of distance since in the y-axis, the first point is found on 0 and the second point is found on 4.

Answer:

Option 11 is correct.

Step-by-step explanation:

The values of the expression 4x − y when x = 3 and y = 1 will be 11.

Answer:11

Step-by-step explanation: 4*3-1=12-1=11

Answer:

0.083 or 8.3%

Step-by-step explanation:

Since there are initially four cards, each card has a 25% (or 1/4) chance of being chosen. So the 8 card would have a 1/4 chance of being chosen.

Since the first card was chosen and not put back into the deck, the percent chance of each chosen card changes from 25% to about 33.3% (or 1/3) chance of being chosen. So the 8 card would now have a 1/3 chance of being chosen.

Since the question is asking what the percentage of choosing an 8 twice without replacing it is, you would multiply each of the percent chances that 8 card has to be chosen. In this case, multiply 1/4 and 1/3

This will result in about 0.083. To change to a percentage, multiply by 100 and the answer will end up at 8.3%.

Answer: 0%

Step-by-step explanation:

If you pick a 8 the first time, and you don't put it back, then there is no chance to get a 8 the second time. However, fi you pick a number other than 8 the first time, and pick 8 the second time, you didn't get 8 both times. Hope this helps!

Answer:

Step-by-step explanation:

The probabilities of each of the following combination in question is 1/8, 1/6, 1/8, and 1/12 respectively.

The car dealership offers combinations of car parameters. The possible values of each car parameter are :

Vehicle = [Sedan, Suv, Truck]

Exterior color = [Red, Blue, Silver, Black]

Interior Material = [Leather, Cloth]

1. The probability of selecting a Silver Vehicle with a Cloth Interior is 1/8.

P(Silver, Cloth) = P(Exterior = Silver, Interior=Cloth)

                       = P(Exterior = Silver) * P(Interior=Cloth)

                       = (1/Total exterior options) * (1/Total interior options)

2. The probability of selecting an SUV or Truck with a Red or Black color and Cloth Interior is 1/6.

P(SUV|Truck, Red|Black, Cloth)

                       = P(Vehicle=Suv|Truck, Exterior = Red|Black, Interior=Cloth)

                       =  P(Vehicle=Suv|Truck) * P(Exterior = Red|Black) * P(Interior=Cloth)

                       = (2/Total vehicle options) * (2/Total exterior options) * (1/Total interior options)

3. The probability of selecting a Sedan of a non-Red color and Cloth Interior is 1/8.

P(Sedan, !Red, Cloth)

                       = P(Vehicle=Sedan, Exterior != Red, Interior=Cloth)

                       =  P(Vehicle=Sedan) * (1- P(Exterior = Red)) * P(Interior=Cloth)

4. The probability of selecting a Truck of a Blue or Black color and Leather Interior is 1/12.

P(Truck, Blue|Black, Leather)

                       = P(Vehicle=Truck, ExteriorBlue|Black, Interior=Leather)

                       =  P(Vehicle=Truck) * P(Exterior = Blue|Black)) * P(Interior=Leather)

Answer:

The length of the missing side is 21 cm.

Step-by-step explanation:

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

[tex]a^{2}[/tex] + [tex]28^{2}[/tex] = [tex]35^{2}[/tex]

[tex]a^{2}[/tex] + 784 = 1225

[tex]a^{2}[/tex] + 784 - 784 = 1225 - 784

[tex]a^{2}[/tex] = 441

[tex]\sqrt{a^{2} }[/tex] = [tex]\sqrt{441}[/tex]

a = 21

Helping in the name of Jesus.

x=4

Step-by-step explanation:

if x equals 4 the whole equation satisfys

Answer:

Step-by-step explanation:

The value of angle ADC is 157.4°

How do you find angle In a trapezium?

The sum of angles in a trapezoid-like other quadrilateral is 360°. So in a trapezoid ABCD, ∠A+∠B+∠C+∠D = 360°. Two angles on the same side are supplementary, that is the sum of the angles of two adjacent sides is equal to 180°. The length of the mid-segment is equal to 1/2 the sum of the bases.

Therefore angle A + angle D = 180

using trigonometry,

cos A = 12/13

A = cos^-1(0.923)

A = 22.63°

therefore angle D = 180-22.63

= 157.4° ( 1 dp)

learn more about angle in a trapezium from

brainly.com/question/30179943

Answer:

see below

Step-by-step explanation:

TUV = 180-107 = 73

VWT = 180-58 = 22

Answer:

Only if you award me brainliest

Ok I will answer your recent unanswered pre-algebra questions.

But one thing…. Marking my answer as the BRAINLIEST. Is a must!

Answer:

A as a square root

Step-by-Step:

Fractional exponents are roots and nothing else. 

Answer:

.30 × 52 = 15.6 = 16 boys in the two classes

Answer:40

Step-by-step explanation:

each friend has 10 nails and there is a total of 8, 8 x 10 80 - 40 = 40 in other words Jackie has to paint 40 finger nails

Answer: lxWxh= v

Step-by-step explanation:

To find the length of a rectangular prism, there should be two missing sides. Since we don't have length or width, you find what times 8 times another number equals 250.

Answer:

The mistake appears in step 1 where 23.8 is divided by 14 instead of 2.

The correct first step should be: (23.8 / 2) + 12 + (14.5 / 2)

Hope this helps!

Answer:

A

Step-by-step explanation:

The error arises in the equation "(23.8 / 2 + 12)", where the division is incomplete. A slick fix is to rephrase it as "(23.8 / 2) + 12" to ensure accurate calculation, with the division taking precedence over addition, resulting in a cooler computation!

Answer:

Step-by-step explanation:

Factors(7 and 10) are numbers that multiply to make a number(70) How many of those numbers are a factor of 7.  Only 7 can go into 70 evenly

Which is only 1 out of 4 of the numbers

So your fraction is

p(factor of 70) 1/4.

Answer: 100%

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Three out of the six choices are odd. (1,2,3,4,5,6)

[tex]\frac{3}{6}[/tex] = .5  Multiply .5 buy 100% to get the percentage.

To multiply by 100% move the decimal two places to the right

50%

Helping in the name of Jesus.

Answer: 50%

Step-by-step explanation:

There are 3 odd numbers on a 6 sided dice (1,3 and5)

so you have a 3 out of 6 chance of rolling odd

P(odd)=3/6

convert to decimal first

P(odd)=.5   then move decimal over 2 times to the right to convert to %

P(odd)=50%

Answer: 37x

Step-by-step explanation:

because both terms have an x after them, they are "like terms", so you can add the coefficients (numbers in front of x)

32+5=37

so your answer is 37x because you keep the term

ex. 5x+6y are different terms so you can't add them, 5 is in terms of x and 6 is in terms of y.

It's like say i have 5 times a certain numbers of apples

and 6 times a certain number of oranges

and they want to know how many apples you have

you can't say 30 times that number of apples.  It just is 5 times that number of apples.  you can't combine

Answer:

D. It's like multiplying a fraction by -1: it multiplies only the numerator

Answer:

Step-by-step explanation:

the average score, calculated by dividing the sum of scores by the number of examinees. Median: the middle raw score of the distribution; 50 percent of the obtained raw scores are higher and 50 percent are lower than the median.

Answer:

The correct answer:

Reflexion across x = 4

Answer:

The correct answer:

Reflexion across x = 4

Answer: He did not perform enough trials to compare the theoretical and experimental probabilities.

Step-by-step explanation:

He only gave two entries for the experimental probability.He would need  atleast four or three.

Hope this helped you!

Answer: He did not perform enough trials to compare the theoretical and experimental probabilities.

Step-by-step explanation:

He only gave two entries for the experimental probability.He would need  atleast four or three.

Hope this helped you!

Answer:

(a) The probability of guessing both questions correctly is (1/2) * (1/4) = 1/8, or 0.125, or 12.5%.

(b) The probability of guessing both questions incorrectly is (1/2) * (3/4) = 3/8, or 0.375, or 37.5%.

(c) The probability of guessing both questions correctly from the remaining options is (1/3) * (1/3) = 1/9, or approximately 0.111, or 11.1%.

Hope this helps!

Answer:

(a) The probability of guessing both questions correctly is (1/2) * (1/4) = 1/8, or 0.125, or 12.5%.

(b) The probability of guessing both questions incorrectly is (1/2) * (3/4) = 3/8, or 0.375, or 37.5%.

(c) The probability of guessing both questions correctly from the remaining options is (1/3) * (1/3) = 1/9, or approximately 0.111, or 11.1%.

Hope this helps!