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Westkost [7]
4 years ago
13

Construct a rectangle whose one side is 3 cm and a diagonal equal to 5 cm.​

Mathematics
1 answer:
VMariaS [17]4 years ago
8 0

Answer:

Length = 4 cm

Breadth = 3 cm

Step-by-step explanation:

Its Simple, We use The Pythagoreas theorem,

We know that the Hypotenuse of a triangle squared is equal to the sum of the legs square,

So  A^2 + B^2 = C^2

substitute the values,

    3^2 + B^2 = 5^2

     9 + B^2 = 25.

Subtract 9 from both sides

    B^2 = 25 - 9

    B^2 = 16

     B = sqrt[16] = 4

I am assuming that you are not asking for an actual construction of a rectangle on paper, but if you are, just ask

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Given: ΔABC is an isosceles triangle where AB = BC.
Fed [463]

Reflexive property of equality

7 0
3 years ago
Madison is ordering a taxi from an online taxi service. The taxi charges $2.50 just for the pickup and then an additional $1.50
pickupchik [31]

Answer: It would cost Madison $7 to go for a 3-mile ride.

Step-by-step explanation:

Initial fee: $2.50

Per mile: $1.50

Set up an equation where x = the number of miles driven

Using y = mx + b form:

y = 1.5x + 2.5

How much would a taxi ride cost if Madison is riding for 3 miles?

Simply plug in 3 for x

y = 1.5(3) + 2.5

y = 4.5 + 2.5

y = 7


Therefore, It would cost Madison $7 to go for a 3-mile ride.

How much would a taxi ride cost that is mm miles long?

To solve this plug in the number of miles driven for x and then solve

3 0
2 years ago
Read 2 more answers
Yasmine earns $54 for dog walking. She walks her neighbors dog 12 times.
Paha777 [63]

Answer:

$4.5

Step-by-step explanation:

If the total price Yasmine earns was $54 and she walked her neighbors dog 12 times then we need to divde them.

54/12

= $4.5  So she earns $4.5 every time she walks her neighbors dog

4 0
4 years ago
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.1 parts
satela [25.4K]

Answer:

t=\frac{6.6-7.1}{\frac{1.0}{\sqrt{26}}}=-2.550    

Step-by-step explanation:

Data given and notation  

\bar X=6.6 represent the sample mean

s=1.0 represent the sample standard deviation

n=26 sample size  

\mu_o =7.1 represent the value that we want to test

\alpha=0.01 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is different from 7.1 ppm, the system of hypothesis would be:  

Null hypothesis:\mu = 7.1  

Alternative hypothesis:\mu \neq 7.1  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{6.6-7.1}{\frac{1.0}{\sqrt{26}}}=-2.550    

5 0
3 years ago
Which expression is represented by the
Serhud [2]

Answer: y^2 - 6

Step-by-step explanation:

We are given the statement which is:

The square of y decreased by the quotient of 36 and 6

We need to get the mathematical expression for the question.

Power 2 is used for square and

The sign "/" is used for quotient or division.

The sign "-" is used to subtract or decrease.

Using the sign above,

Square of y = y^2

Quotient of 36 and 6 = 36/6

The square of y decreased by the quotient of 36 and 6 = y^2 - 36/6

= y^2 - 6

Therefore, the required expression is:

y^2 - 6

8 0
3 years ago
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