Mathematics College

w
What is the value of a?
4
5 units
C
Os units
O 6 units
O 7 units

Answers

Answer 1

Answer:

B.5 1/3

Step-by-step explanation:

got it right on edge

Answer 2

The value of a from the given triangle is [tex]5\frac{1}{3}[/tex] units. Therefore, option B is the correct answer.

What is the Pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

From the triangle we have WX=b, WZ=c, ZY=3, YX=a and WY=4.

By Pythagoras theorem,

c²=4²+3²

c²=16+9

c²=25

c=5 units

In triangle WXZ,

(3+a)²=5²+b² ----(i)

From the triangle WXY,

b²=4²+a² ------(ii)

From equation (i) and (ii), we get

(3+a)²=5²+4²+a²

9+6a+a²=41+a²

6a=32

a=32/6

a=[tex]5\frac{1}{3}[/tex] units

Therefore, option B is the correct answer.

To learn more about the Pythagoras theorem visit:

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Related Questions

I need the scale factor of this please, its due today:)

Answers

Answer: The scale factor is 3:1 because if you look at the T Point to T', it has a space of 3. Pardon for any mistakes. Good Luck!

Step-by-step explanation:

Which is the graph of f(x) = 3^x.

Answers

it will be the one that looks like this

Mrs jones uses 1/2 of a block of cheese to make packed lunches each day. how many days will 3 blocks of cheese last for?

Answers

Answer:

6 days

Step-by-step explanation:

Answer:

6 days

Step-by-step explanation:

1 day=1/2

2 day=1

3 day=1 and 1/2

4 day=2

5 day=2 and 1/2

6 day=3

hope this helps :)

Please help Ill give brainliest

Answers

Answer:

2. 13

4. 18

6. 14

Step-by-step explanation:

2. (5 x 2/5) = 2

20/2=10

10+3 = 13

4. (6/2+8) = 11

2 x 11 = 22

22-4 = 18

6. (8-2/2) = 7

21/3 = 7

7 + 7 = 14

Answer:

13, 18, 14

Step-by-step explanation:

Please help me !!!!!!!!!!!!!

Answers

umm i would not trust that file

3x = 42 solve for x show work plz

Answers

Answer:

Step-by-step explanation:

3x=42 d. b. s by 3

3x/3=42/3

x=14

Trevor is going to a baseball game next Saturday with some friends. He has $50 to spend. His ticket will cost $15 and hot dogs will cost $2.75 each.

What is the greatest number of hot dogs he can buy for himself and his friends?
A.10
B.11
C.12
D.13

Answers

Answer:

C. 12

Step-by-step explanation:

50-15=35

35÷2.75=12.7272

A number greater than or equal to 41.

Answers

Answer:

Step-by-step explanation:

¯\_(ツ)_/¯

If y = 12 when x = 9 find, x when y = 4

Answers

Answer:3

Step-by-step explanation:

12/4=3, 9/3=3

hope it helps

For Gianna's lemonade recipe, 8 lemons are required to make 10 cups of lemonade. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.

Answers

Answer:

4 5

8 10

24 30

Step-by-step explanation:

and the black flaure the ima Name a possible rotation and the degree in which it turned

Answers

Answer is in the file below

tinyurl.com/wpazsebu

Pleaseee I need this now!

Answers

Answer:

54000 cube cm

Step-by-step explanation:

Let height be the height of the box kite,

Also the length of one face = 30 cm,

Hence, the total area of the kite box that is covered by the fabric

= 4 × Area of one face

= 4 × 30 × height

= 120 h

According to the question,

120 height = 7200

height = 60 cm

Hence, the height of the box = 60 cm,

The volume inside the kite = The base area of the box × Its height

= 30² × 60

= 900 × 60

= 54000 cm³

HELP PLS WUICK! GIVING OUT BRAINLIST

Answers

You multiply the area of the triangle by 2

Answer:

reason:

did it recently

The circle has a diameter of 16 inches. What is the area of the circle, rounded to the nearest square inch?

Answers

Answer: Letter B)

A=πr2

d=2r

A=1

4πd2=1

4·π·162≈201.06193

Step-by-step explanation:

Hope this Helps! : )

Your answer is B, your welcome.

what is the equivalent fractions for 3/6 and 4/6

Answers

Answer: 1/2 and 2/3

Step-by-step explanation:

PLEASE I NEED HELP CLICK ON THIS IMAGE

Answers

Answer:

Mean: 10

Median: 10.5

Mode: none

Step-by-step explanation:

there is no mode, mean is 10 and median is 10.5

what is 3/10(x+2)=12

Answers

X=38

Hope I helped :]

solution...

x=38 it takes a few steps to get the answer

At the Dream Cone ice cream shop, there are
540 ways to make an ice cream sundae
consisting of one flavor of ice cream, one
topping, and one type of syrup. If there are 9
ice cream flavors and 5 types of syrup, how
many toppings are there?

Answers

Answer:

12 toppings

Step-by-step explanation:

5*9=45

540/45=12

The number of toppings in the ice cream cone are 9.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, there are 540 ways to make an ice cream sundae consisting of one flavor of ice cream, one topping, and one type of syrup.

Let the number of toppings be x.

So, 9×5×x=540

⇒ 45x=540

⇒ x=9

Therefore, the number of toppings in the ice cream cone are 9.

To learn more about an equation visit:

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bir bidonun 2/7 si dolu iken içinde 4 litre su bulunuyor bidon kaç litre su alır

Answers

Answer:

The canister hold water = 14 litres

Step-by-step explanation:

Given - While 2/7 of a canister is full, it has 4 litre water in it.

To find - How many litres of water does the canister hold?

Proof -

Given that,

When is canister is [tex]\frac{2}{7}[/tex] full , Total water = 4 litre

⇒If the canister is full , Total water = 4×[tex]\frac{7}{2}[/tex] litre

= 2 × 7 = 14 litres

⇒The canister hold water = 14 litres

Sarah has 31.2 pounds of dog food. She divides the food into bags that will hold 5.2 pounds each.

How many bags will Sarah fill with dog food?

Answers

Answer: 6

Step-by-step explanation:u divide 31.2 and 5.2

Question 2 of 20 -
2020-2021 T-Mat
What is the area of the shape below?
6 yd
4 yd
5 yd
9 yd

Answers

Answer:30

Step-by-step explanation:

Ran has 17 cameras to clean. He cleans 10 cameras.Then rah finds 8 more cameras to clean. How many cameras does ran has to clean now?

Answers

Answer:

total of 25 to clean.

did 10

has 15 left

Answer: 15

Step-by-step explanation:

Ran Needs to clean 17 cams... he already cleaned 10, so subtract 17-10... it would be 7

he finds 8 cams to clean... so we add 8+7... and it becomes 15...

brainliest appreciate

the mean age of swimers for all of these teams is 10. what does a large mad tell you.eade help

Answers

Answer: Larger the MAD tells us that the ages of swimmer are far from the mean age. Thus means is not a relevant indicator for the data.
Step-by-step explanation:
We know that the mean absolute deviation (MAD) helps to know whether the mean of a data is a worthy indicator for the data values .
The larger the MAD tells us the values are spread out far from the mean .
Also, larger the MAD makes the mean less worthy as an indicator of the data elements within the data set.

PLEASE HELP ASAP!! After 5 years, $8,060 deposited in a savings account with simple interest had earned $3,224 in interest. What was the interest rate?

Answers

Answer:

Step-by-step explanation:

I = PRT

PRT = I

R = I/PT

R = 3224/(8060)(5)

R= 8%

19. A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years, respectively.19a. Describe the shape of the sampling distribution of the sample mean in this case.19b. Find the mean and standard error of the sampling distribution of the sample mean.19c. What is the probability that the mean age exceeds 73 years

Answers

Answer:

a) Approximately normal.

b) The mean is 75 years and the standard deviation is 0.8485 years.

c) 0.9909 = 99.09% probability that the mean age exceeds 73 years

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set 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]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Sample of 50 retirees

This means that [tex]n = 50[/tex]

Mean age and standard deviation are 75 and 6 years

This means that [tex]\mu = 75, \sigma = 6[/tex]

a. Describe the shape of the sampling distribution of the sample mean in this case

By the Central Limit Theorem, approximately normal.

b. Find the mean and standard error of the sampling distribution of the sample mean.

By the Central Limit Theorem, the mean is 75 and the standard error is [tex]s = \frac{6}{\sqrt{50}} = 0.8485[/tex]

c. What is the probability that the mean age exceeds 73 years?

This is 1 subtracted by the pvalue of Z when X = 73.

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

By the Central Limit Theorem

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

[tex]Z = \frac{73 - 75}{0.8485}[/tex]

[tex]Z = -2.36[/tex]

[tex]Z = -2.36[/tex] has a pvalue of 0.0091

1 - 0.0091 = 0.9909

0.9909 = 99.09% probability that the mean age exceeds 73 years

aha please help me...

Find the height of a right square pyramid that has a rectangular
base area of 70 square units and a volume of 140 cubic units.
OA) 2 units
OB) 6 units
OC) 1 units
OD 18 units

Answers

Answer:

Height = 6 units

Step-by-step explanation:

Recall that the volume of a pyramid is defined as:

Volume = 1/3 Base x Height

Then, in our case we have:

140 = 1/3 (70) x Height

we multiply by 3 both sides to eliminate the fraction on the right:

420 = 70 Height

divide by 70 to isolate the Height completely:

420 / 70 = Height

Therefore, the height is:

Height = 6 units

which inequality represents the sum
of x and y is at most 15?
a.)x-y_>15
b.)x-y_<15
c.)x-y>15
d.)x-y<15

Answers

Answer:

x+y≤15

Step-by-step explanation:

We need to write an inequality that represents the sum of x and y is at most 15. At most in inequality is defined as less than or equal to i.e. ≤.

Sum of x and y means x+y

The inequality becomes,

x+y≤15

Hence, the correct option is (b).

The inequality which represents the sum of x and y is at most 15 is; Choice (b) x+y_<15

According to question;

We are required to determine the inequality that represents the sum of x and y is at most 15.

In essence, the sum of x and y is either equal to or lesser than 15.

Therefore, the inequality is Choice B; x+y_<15

Answers

Answer:

circle

Step-by-step explanation:

The answer to the question is aqua

which inequality is true p=3.4

Answers

uhhh...p=3.4 is already simplified.

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hope it helps???

Jessica goes out to eat at a restaurant. The meal costs $18.40, and Jessica wants to leave a tip that is StartFraction 3 over 20 EndFraction of the cost of the meal. How much should Jessica leave for the tip?

Answers

Answer:

$20.00

Step-by-step explanation:

Answer:

20.00 trust me

Step-by-step explanation:

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w What is the value of a? 4 5 units C Os units O 6 units O 7 units

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w
What is the value of a?
4
5 units
C
Os units
O 6 units
O 7 units