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3 years ago

7th grade work help please will give brainliest:)

Mathematics

1 answer:

Montano1993 [528]3 years ago

4 0

Answer: 67.27

Step-by-step explanation:

7.1 x 7.1 for the square = 50.41

7.1 divided by 2 = 3.55

3.55 x 4.75= 16.86

Normally here you would divide by 2, but you don’t need two because there is 2 triangles that are the same

Add the 50.41 and the 16.86 and you have your answer!

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Statement 1: If parallel lines have a transversal, then corresponding angles are congruent. Statement 2: A line has an infinite

Nataly_w [17]

The statement 1:"If parallel lines have a transversal, then corresponding angles are congruent" is theorem, because it has been proved. It is a logical consequence of axioms.<span>
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3 0

3 years ago

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.

EastWind [94]

Answer:

The Law of Sines applies to any triangle and works as follows:

a/sinA = b/sinB = c/sinC

We are attempting to solve for every angle and every side of the triangle. With the given information, A = 61°, a = 17, b = 19, we can solve for the unknown angle that is B.

a/sinA = b/sinB

17/sin61 = 19/sinB

sinB = (19/17)(sin61)

sinB = 0.9774

sin-1(sinB) = sin-1(0.9774)

B = 77.8°

With angle B we can solve for angle C and then side c.

A + B + C = 180°

C = 180° - A - B

C = 180° - 61° - 77.8°

C = 41.2°

a/sinA = c/sinC

17/sin61 = c/sin41.2

c = 17(sin41.2/sin61)

c = 12.8

The first solved triangle is:

A = 61°, a = 17, B = 77.8°, b = 19, C = 41.2°, c = 12.8

However, when we solved for angle B initially, that was not the only possible answer because of the fact that sinB = sin(180-B).

The other angle is simply 180°-77.8° = 102.2°. Therefore, angle B can also be 102.2° which will give us different values for c and C.

C = 180° - A - B

C = 180° - 61° - 102.2°

C = 16.8°

a/sinA = c/sinC

17/sin61 = c/sin16.8

c = 17(sin16.8/sin61)

c = 5.6

The complete second triangle has the following dimensions:

A = 61°, a = 17, B = 102.2°, b = 19, C = 16.8°, c = 5.6

The answer you are looking for is the first option given in the question:

B = 77.8°, C = 41.2°, c = 12.8; B = 102.2°, C = 16.8°, c = 5.6

Step-by-step explanation:

8 0

3 years ago

Simplify: StartRoot 324 EndRoot 1. Write the prime factorization of the radicand. StartRoot 324 EndRoot = StartRoot 2 times 2 ti

Savatey [412]

Answer:

Step-by-step explanation:

To continue where you left off, ...

$\sqrt{2^2}\times\sqrt{3^2}\times\sqrt{3^2}=2\times 3\times 3=18$

The square root of 324 is 18.

3 0

3 years ago

Read 2 more answers

Find the area of a triangle b=72.5 a=105 c=64

riadik2000 [5.3K]

There are two methods I know. hope it'd help :)

7 0

3 years ago

A curve passes through the point ( 0 , 7 ) (0,7) and has the property that the slope of the curve at every point P P is twice th

STatiana [176]

Answer:

The equation for the curve is:

$f(x) = 7*e^{2*x}$

Step-by-step explanation:

We know that for a curve defined as:

y = f(x)

The slope of the curve at the point x is:

y = f'(x)

where f'(x) = df(x)/dx

Here we know that we have a function that passes through the point (0, 7)

We also know that the slope of the curve at every point is twice the value of the y-coordinate. (remember that the y-coordinate is given by f(x))

Then we have two equations:

f(0) = 7

f'(x) = 2*f(x)

From the shape of the equation, we can assume than this is an exponential equation like:

$f(x) = A*e^{k*x}$

Replacing that in the second equation, we get:

$k*A*e^{k*x} = 2*A*e^{k*x}$

From that equation, we can conclude that k = 2

Then:

$f(x) = A*e^{2*x}$

Now we can use the first equation:

f(0) = 7

With this, we can find the value of A.

$f(0) = 7 = A*e^{2*0}\\7 = A*e^0 = A*1\\7 = A$

Then we can conclude that the equation for the curve is:

$f(x) = 7*e^{2*x}$

6 0

3 years ago