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4 years ago

A triangle has side lengths 1, 2 and . The triangle

Mathematics

2 answers:

slamgirl [31]4 years ago

4 0

Answer:

A. that is a right triangle

Step-by-step explanation:

laiz [17]4 years ago

3 0

I think the correct one is That is a right triangle despite the fact that you did not give full information.

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Find the area of the following rectangle (the figure is not drawn to scale)

Sophie [7]

Answer:

<h2>204 units²</h2>

Step-by-step explanation:

It's a rectangle. Therefore the opposite sides are congruent.

We have the equation:

2x + 4 = 12 <em>subtract 4 from both sides</em>

2x = 8 <em>divide both sides by 2</em>

x = 4

Put the value of x to the expression 4x + 1:

4(4) + 1 = 16 + 1 = 17

Therefore we have the rectangle with dimesions 17 × 12.

The area of the rectangle:

A = (17)(12) = 204

8 0

4 years ago

A sample of blood pressure measurements is taken for a group of adults, and those values (mm Hg) are listed below. The values

nika2105 [10]

Answer:

For systolic pressure data:

$\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085$

For diastolic pressure data:

$\bar X =73.5\\\\S=12.54\\\\CV=\frac{73.5}{12.54}=0.17061$

Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.

Step-by-step explanation:

The coefficient of variation is defined as the percentage relative variation of a set of data with respect to its average. And it is calculated like this:

$CV=\frac{\bar X}{S}$

$S =\sqrt{\frac{1}{n-1} \sum_{i=1}^n (x_i-\bar{x})^2$

$\bar X={\frac{1}{n} \sum_{i=1}^n x_i$

For systolic pressure data:

$\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085$

For diastolic pressure data:

$\bar X =73.5\\\\S=12.54\\\\CV=\frac{12.54}{73.5}=0.17061$

It is observed that the systolic pressure shows greater standard deviation but less coefficient of variation. This is due to the greater magnitude of its measurement scale.

Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.

7 0

3 years ago

A bag with 6 marbles is shown below. (3 marbles are red, 1 is yellow, and 2 are blue.) A marble is chosen from the bag at random

11Alexandr11 [23.1K]

Answer:The answer is 1/2 or you can do 3/6 if it doesnt need to be simplified

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Anna has a 30-year, 5.75% mortgage on her $250,000 home. She has been

poizon [28]

Answer:

Her new monthly payment is now $1,378.91¢

Step-by-step explanation:

For us to calculate the new monthly mortgage payment that Anna will start paying from now on, we need to input the formula for calculating monthly mortgage payments.

The formula is:-

$M = P [\frac{r(1+r)^{n} }{(1+r)^{n}-1}]$

Where M is the monthly mortgage payment.

P is the principal

r is the monthly interest rate calculated by dividing your annual interest rate by 12

n is the number of payments(the number of months you will be paying the loan).

In this case, the new principal that Anna must pay back is $231,905.47¢. The annual interest rate has been reduced to 5.17% from 5.75% so the new monthly interest rate will be obtained by dividing the new annual interest rate by 12

= 5.17%/2

= 0.431%

This is the new monthly interest rate.

Since she has been paying her mortgage loan diligently for 5 complete years. It means she now has just 25 years to complete the payment. If 12 months make up one year, then there are - 12 × 25 = 300 more months to go.

300 is therefore "n" that is required for the calculation.

All the terms needed for the calculation of her new monthly mortgage is now complete.

P = $231,905.47¢

r = 0.431%

n = 300

$M = 231,905.47[\frac{0.00431(1+0.00431)^{300} }{(1+0.00431)^{300} -1}]$

$= 231,905.47[\frac{0.00431(3.634)}{2.634}]$

= 231,905.47 × 0.005946

M = $1,378.91¢

Therefore her new monthly mortgage payment will become $1,378.91¢

4 0

4 years ago

Read 2 more answers

Consider the diagram. Lines a and d are?

marta [7]

Answer:

perpendicular

Step-by-step explanation:

They form a 90 degree angle

5 0

3 years ago