Mathematics High School

The areas of the squares adjacent to two sides of a right triangle are shown below. What is the area of the squares adjacent to the third side of the triangle

Answers

Answer 1

Answer:

11 square units

Step-by-step explanation:

Find the diagram attached

First we need to find the side length of the square with known areas.

Area of a square = L²

L is the side length of the square

For the green square

44 = L²

Lg = √44

For the purple square

Ap = Lp²

33 = Lp²

Lp = √33

Get the length (L) of the unknown square using pythagoras theorem;

Lg² = L²+Lp²

(√44)² = L²+(√33)²

44 = L²+33

L² = 44-33

L² = 11

Since Al = L²

Hence the area of the square adjacent to the third side of the triangle is 11 square units

The Areas Of The Squares Adjacent To Two Sides Of A Right Triangle Are Shown Below. What Is The Area

Related Questions

please help ·ω· pppppppllllllllllllllleeeeeeeeeeaaaaaaaassssssssseeeeeeeeee????

Answers

Answer:

x=49

Step-by-step explanation:

Use the standard normal distribution to find P(Z < -2.33 or z > 2.33). Select one: O 9809 .7888 .0198 O 0606

Answers

The probability P(Z < -2.33 or Z > 2.33) is approximately 0.0198.

How to find the probabilities

To find the probability P(Z < -2.33 or Z > 2.33) using the standard normal distribution, we can calculate the individual probabilities and then add them together.

Using a standard normal distribution calculator

The value for P(Z < -2.33) is approximately 0.0099.

P(Z < -2.33), which is approximately 0.0099.

we can add the two probabilities together

P(Z < -2.33 or Z > 2.33) = P(Z < -2.33) + P(Z > 2.33)

= 0.0099 + 0.0099

= 0.0198

Therefore, the probability P(Z < -2.33 or Z > 2.33) is approximately 0.0198

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Find a*b. a = (4, 1, 1/5), b = (6,-4, -15)

Answers

The calculated product of the vectors a and b is 17

How to calculate the product of the vectors

From the question, we have the following parameters that can be used in our computation:

a = (4, 1, 1/5) and b = (6,-4, -15)

The product of the vectors can be calculated using

a * b = Sum of products of each position

Using the above as a guide, we have the following:

a * b = 4 * 6 + 1 * -4 + 1/5 * -15

Evaluate the expression

a * b = 17

Hence, the product of the vectors a and b is 17

Answers

Answer: x=17 and 98

Step-by-step explanation:

Those two angles are supplementary so just add them together and make it equal to 180.

Please answer correctly! I will mark you as Brainliest!

Answers

Multiply the length by width by the height/3

7 x 6 x 8/3 = 112 in^2

The answer is 112 in^2

Answer:

112

Step-by-step explanation:

A radiograph technician has a technique of 30 mAs and 120 kV at 100 cm SID with a 5:1 grid, and produces an intensity of 100 mR. If she wants to keep maintain exposure at: 200 cm, a 10:1 grid, with 138 kV , what should the new mAs be?

Answers

The new mAs should be approximately 45 mAs.
The intensity of radiation at a given distance can be calculated using the inverse square law:

Intensity2 = Intensity1 × (Distance1/Distance2)^2

Given:
Intensity1 = 100 mR
Distance1 = 100 cm
Distance2 = 200 cm

Using the above formula, we can calculate the new intensity at 200 cm:

Intensity2 = 100 mR × (100 cm/200 cm)^2
Intensity2 = 100 mR × (1/4)
Intensity2 = 25 mR

To maintain the same exposure at the new distance, the new mAs needs to be adjusted accordingly. We can use the exposure maintenance formula:

mAs2/mAs1 = (kVp2/kVp1) × (Distance1/Distance2)^2 × (Gridratio2/Gridratio1)^2

Given:
mAs1 = 30 mAs
kVp1 = 120 kV
kVp2 = 138 kV
Gridratio1 = 5:1
Gridratio2 = 10:1

Substituting the given values into the formula, we can solve for mAs2:

mAs2/30 mAs = (138 kV/120 kV) × (100 cm/200 cm)^2 × (10/5)^2
mAs2/30 mAs = (1.15) × (0.5)^2 × (4)
mAs2/30 mAs = 1.15 × 0.25 × 4
mAs2/30 mAs = 0.115

Simplifying, we find:
mAs2 = 30 mAs × 0.115
mAs2 ≈ 3.45 mAs

Therefore, the new mAs should be approximately 45 mAs (rounded to the nearest whole number) to maintain exposure at 200 cm with a 10:1 grid and 138 kV.

To maintain exposure at a new distance of 200 cm with a 10:1 grid and 138 kV, the radiograph technician should set the new mAs to approximately 45 mAs. This adjustment takes into account the changes in distance, kV, and grid ratio while ensuring that the radiation intensity remains consistent.

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Does the nature of the data allow you describe the difference of the two medians as a multiple of the interquartile range? If so, what is the multiple?

Answers

Answer:

1/3

Step-by-step explanation:

From the figure, we know that the median of Amy is 40 and the median of Megan is 35.

Therefore the difference in their medians is = 40 - 35

= 5

We see that Q1 of Megan is 25 and Q3 is 40. Therefore, her interquartile range is given by Q3 - Q1 = 40 - 25

= 15

So, the difference of the medians is the multiple of the interquartile range.

So the multiple is = 5/15

= 1/3 (IQR of Megan)

Answer:

Yes, I can describe the difference of the two medians as a multiple of the interquartile range as shown below.

Step-by-step explanation:

The difference of the medians for the two data sets is 69 − 60 = 9. The interquartile ranges for the data sets are 9 ounces and 8 ounces.

HELP ME I NEED HELP!!!

Answers

Answer: B

Answers

The statement is False.

(a) Let x be an integer. If 4x² + 3x + 7 is odd, then x must be even.Statement (a) is false.

Here is the explanation:We know that an integer is odd if and only if it can be represented in the form of 2k + 1, where k is any integer.Let us assume that x is an odd integer. Then, we can write x as 2k + 1, where k is any integer.Substituting the value of x in 4x² + 3x + 7, we get;4x² + 3x + 7 = 4(2k + 1)² + 3(2k + 1) + 7= 4(4k² + 4k + 1) + 6k + 3 + 7= 16k² + 16k + 4 + 6k + 10= 16k² + 22k + 14= 2(8k² + 11k + 7)which is an even integer as it is a multiple of 2.

Therefore, we have proven that if x is odd, then 4x² + 3x + 7 is even.So, we have disproved the statement as it is not true for all integers. It's only true for odd integers only. Therefore, statement (a) is false.

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what is the solution to the inequality of x+2<5

Answers

Answer:

Any number below 3

(2, negative infinity)

Answer:

here's the answer with steps

x + 2 < 5

-2 -2

x < 3

3x-y=2
x+2y=3

elimination method

Answers

Answer:

x=1 and y=1

Step-by-step explanation:

see attachment

$35 sweater ; 18% discount ; 3% tax ; find sales price

Answers

Answer: $27.65

Step-by-step explanation:

0.18 = 6.3

Discount = $6.3

0.03 = 1.05

Tax = 1.05

35 - 6.3 - 1.05 = 27.65

Two power providers are marketing their electricity plans to residential customers. Everyday Electric Company offers a plan with a base cost of $50 per month plus $0.075 per kilo-watt-hour (kwh) used. Consumer Power Limited offers a plan with a base cost of $30 per month plus $0.125 per kilo-watt-hour (kwh) used. Which graph correctly compares the cost of these competing electricity plans?`

Answers

Answer:

Step-by-step explanation:

The Great Knightrola Small Monster Association has four chartered positions: President, Vice President, Treasurer, and Secretary; it also has 12 officers chosen at large. All of these seats must be filled by members of GKSMA, of which there are 50. No member may hold more than 1 position. How many different ways are there to fill the positions

Answers

Answer:

Number of different ways of filling the position is 8961115245946500

Step-by-step explanation:

There are total of 4 positions which can be arranged in 4! Ways

Like wise there are 12 positions. Hence the number of arrangements for these 12 positions would be 12!

Overall there are 12+4 = 16 positions in which 50 people needs to be arranged

Number of different ways of filling the position is

50P16 /(12! *4!)

= 8961115245946500

The number of different ways of filling the position is, 8961115245946500

There are total of 4 positions can be arranged in 4! Ways

Similarly there are 12 positions.

Therefore, the number of arrangements for these 12 positions is 12!

When we use the permutation?

If there is an arrangement of the data then we use the permutation

Therefore we can say that there are 12+4 = 16 positions in which 50 people needs to be arranged.

The number of different ways of filling the position is,

[tex]50P16 /(12! *4!)[/tex]

By using the calculater you can find,

= 8961115245946500

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NEED HELP!! 50 points!!!

Answers

Answer: 3, The initial velocity of the rocket

Answer:

the initial velocity of the rocket

Step-by-step explanation:

Write a word problem for 1/3 X 2/3 . Use our definition of
multiplication and math drawings to
determine the answer to the multiplication problem. Explain
clearly.

Answers

The pizza is divided into 6 equal pieces in total: 3 initial slices, each further divided into 2 equal pieces.

A pizza is cut into 3 equal slices. Each slice is then cut into 2 equal pieces. How many pieces of pizza are there in total?

To solve this problem, we can use our definition of multiplication. Multiplication is repeated addition. In this case, we are repeatedly adding 2 to itself 3 times. This gives us 2 + 2 + 2 = 6. Therefore, there are 6 pieces of pizza in total.

We can also use math drawings to solve this problem. Here is a math drawing that shows how to find the product of 1/3 * 2/3:

The first row of the math drawing shows 1/3 of a pizza. The second row shows 2/3 of a pizza. The third row shows the product of 1/3 * 2/3. As you can see, the product is 6 pieces of pizza.

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Erika pours 6 cups of milk into 8 glasses. Each glass has the same amount of milk. How many cups of milk are in each glass?

Answers

Answer:

each glass will have 0.75 of a cup or 3/4 of a cup * 0.75 and 3/4 is the same*

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