Find the perimeter of the trapezoidal brick to the nearest tenth of an inch.

Answers

Answer 1

Answer:

Answer:

The perimeter of the figure is 50 feet.

Step-by-step explanation:

The trapezoid is attached.

Remember, the perimeter is the sum of all sides. But, in this case, we don't know the lenght of all sides. So, we need to find them.

Notice that the missing side on the left is congruent to the vertical leg of the right triangle. So, we use the Pythagorean Theorem to find it. Also, observe that the horizontal leg of the right triangle is 6 feet long.

$10^(2) =6^(2) +h^(2) \nh^(2)=100-36\n h=√(64)=8$

Now, we can sum all sides to find the perimeter

$P=8 +13+10+19=50 \ ft$

Therefore, the perimeter of the figure is 50 feet.

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Is 7.601 greater than 7.6010?
You like a diamond ring. The diamond is cut into a cone shape. The diameter of the diamond is 4 millimeters. The slant height is 2.5 millimeters. Find the surface area of the diamond.
1. a baker had 10 sacks containing the following amounts of flour: 4 1/2 kg , 31/4 kg ,2 1/2 kg ,2 1/2 kg , 4 kg ,3 1/4 kg ,4 1/4 kg , 5 kg , 2 1/2 kg , 3 1/4 kg2. plot the measurements on a line plot give the line plot a title and label the axis 3. if the baker redistributed the flour equally among the ten bags how much flour would be in each bag explain your answer
2x^3+17x^2+23x-42; 2x+7

If x= root 7+ root 6 /root 7-root 6 then find the value of (x+1/x)

Answers

Answer:

$\huge\boxed{x+(1)/(x)=(13+2√(42))+(13-2√(42))=26}$

Step-by-step explanation:

$x=(\sqrt7+\sqrt6)/(\sqrt7-\sqrt6)\cdot(\sqrt7+\sqrt6)/(\sqrt7+\sqrt6)=((\sqrt7+\sqrt6)^2)/((\sqrt7-\sqrt6)(\sqrt6+\sqrt7))\n\n\n\text{use}\ (a+b)^2=a^2+2ab+b^2\ \text{and}\ (a-b)(a+b)=a^2-b^2$

$x=((\sqrt7)^2+(2)(\sqrt7)(\sqrt6)+(\sqrt6)^2)/((\sqrt7)^2-(\sqrt6)^2)\n\n\n\text{use}\ (√(a))^2=a,\ \text{for}\ a\geq0\n\n\nx=(7+2√(42)+6)/(7-6)=(13+2√(42))/(1)=13+2√(42)\n\n(1)/(x)=(1)/(13+2√(42))\cdot(13-2√(42))/(13-2√(42))=(13-2√(42))/(13^2-(2√(42))^2)=(13-2√(42))/(169-168)\n\n(1)/(x)=13-2√(42)$

Choose any 5-digit number and explain how to round your number to the nearest ten thousand

Answers

18730
You look at the 10,00 place and that is a 1 and look to the left that is 8 5 and above give it a shove! So it would round to 20,000

12345 because it is less then 15000 you round it down to 10000. so basically if it's 15000 or more you round up and if it's less then 1500 you round down

A pool has some initial amount of water in it. Then it starts being filled so the water level rises at a rate of 666 centimeters per minute. After 202020 minutes, the water level is 220220220 centimeters. Graph the relationship between the pool's water level (in centimeters) and time (in minutes).

Answers

Answer:

$y=6x+100$

The graph is drawn below.

Step-by-step explanation:

Let the minutes passed be $x$ and height of water level be $y$ cm.

Given:

Rate of rise of water level, $m = 6\textrm{ cm/min}$

When $x=20\textrm{ min},y=220\textrm{ cm}$

Therefore, the relationship can be expressed using the point-slope form of an equation if a line.

The point-slope form is given as:

$y-y_(1)=m(x-x_(1))$

Here, $m=6,x_(1)=20,y_(1)=220$

Therefore, the relationship is given as:

$y-220=6(x-20)\ny-220=6x-120\ny=6x-120+220\ny=6x+100$

Therefore, the relationship between the pool's water level (in centimeters) and time (in minutes) is $y=6x+100$ .

The graph is shown below.

Answer: Points are (20, 220) and (15, 190)

Step-by-step explanation: I had the same quiz question.

How to divide 8.4 into 0.03

Answers

8.4 / 0.03 would be 280.
Hope this helps! :)

take out the points and then divide .we will get exact answer as 280

Zack is preparing for a marathon and currently weighs 162 pounds. His total body weight can be expressed as 3x^3 + 9x^2, and his body fat weight can be expressed as 3/2x^2. Write a function which represent Zack's body fat percentage.

Answers

Fat percentage = Fat weight / Body weight * 100

Assuming that 3/2x^2 is (3/2)x^2

Fat percentage = $(3x^3+9x^2)/( (3)/(2) x^2) 100= [2x+6]100 = 200x+600$

Answer:

F(x) =1 /2x+6

Step-by-step explanation:

A spinner is divided into many different color sectors. Some sectors are larger than others. The spinner was spun 300 times. The results where tallied and written in the table below.Red:93 Blue:59 Green:105 Yellow:43

Part A: What is the probability that the next spin will land on green?

Part B: What is the probability that the next spin will land on either green or red?

Answers

Solutions

We know that a spinner was divided into many different color sectors. Some sectors are larger than others. The spinner was spun 300 times. The results were tallied up and were written in a table.

Red:93

Blue:59

Green:105

Yellow:43

The spinner landed the highest on green. To find the probability that the next spin will land on green we have add all the numbers and simplify them.

93 + 59 + 105 + 43 = 300

Out of 300 the spinner landed to green 105 times. We have the fraction 105/300.

105/300 can be reduced. To reduce the fraction we need to the GCF of 105 and 300. The GCF is 15.

We can reduce the fraction by dividing the numerator and denominator by the GCF = 15.

105 ÷ 15 = 7

300 ÷ 15 = 20

Our new fraction is 7/20

The probability that the next spin will land on green is 7/20.
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To get the answer to part (B) we have to add the results of red and green then simplify.

93 + 105 = 198

The fraction is 198/300. 198/300 can be reduced. To reduce the fraction we need to the GCF of 105 and 300. The GCF is 6.

We can reduce the fraction by dividing the numerator and denominator by the GCF = 6.

198 ÷ 6 = 33

300 ÷ 6 = 50

The new fraction is 33/50

The probability that the next spin will land on either green or red is 33/50.

Hope this helps

Answer:

Part A: 105/300

Part B: 195/300

Step-by-step explanation:

93+59+105+43 = 300

green is 105 or 105/300

Part B i’m not sure

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Steve and Ed were comparing how much money they earned in a 9 week period. Steve earned $149.53 each week for three weeks. He then earned twice as much each week for the next six weeks. Ed earned $108.77 for two weeks. He then earned three times as much each week for the next seven weeks. How much more did Ed earn than Steve?

1/3 as long as 6 meters