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3 years ago

The diagram shows a triangle.

Mathematics

1 answer:

nordsb [41]3 years ago

4 0

Answer:

A = 110.25

Step-by-step explanation:

add all the equations and equal it to 180 because all triangle angles add to 180:

4x+1 + 3x + 3x-1 = 180

10x =70

/10 /10

x = 7

Insert x into each equation and solve:

3(7)-1 = 20

4(7)-1 = 27

3(7) = 21

and then use A = 1/2 base*height formula:

A= 1/2 21* 20

A= 210

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Using the given table of an exponential function, determine the growth/decay factor as well as the rate of increase/decrease. Ty

Westkost [7]

Answer:

The growth rate is 0.6

The growth factor is 1.6

Step-by-step explanation:

Generally, the exponential equation can be written as;

y = a(1 + r)^x

Where a is the initial value of 100

r is the growth rate

So let us form equations;

160 = 100(1 + r)^1 •••••(i)

Also;

256 = 100(1 + r)^2 •••••••(ii)

Divide equation ii by i

256/160 = 1 + r

1.6 = 1 + r

r = 1.6-1

r = 0.6

7 0

3 years ago

Convert -450° from degrees to radians. (5 points)

ValentinkaMS [17]

Negative five pi divided by two

4 0

3 years ago

If WXY is equilateral and WZY is isosceles, find each missing measure.

timurjin [86]

Answer:

m∠1 = 60°

m∠2 = m∠4 = 39°

m∠3 = m∠5 = 21°

Step-by-step explanation:

ΔWXY is a equilateral angle,

Therefore, all angles of the the triangle are equal in measure.

m∠W + m∠X + m∠Y = 180°

3m∠W = 180°

m∠W = 60°

Since, ΔWZY is an isosceles triangle,

m∠3 = m∠5

m∠3 + m∠Z + m∠5 = 180°

m∠3 + 138° + m∠3 = 180°

2m∠3 = 180 - 138

m∠3 = 21°

Therefore, m∠3 = m∠5 = 21°

Since, m∠2 + m∠3 = 60°

m∠2 = 60 - 21

= 39°

Since, m∠4 + m∠5 = 60°

m∠4 = 60 - 21

= 39°

m∠1 = 60°

7 0

3 years ago

Read 2 more answers

Find the slope of the line passing through the points (7, -1) and (2, -8).

Ugo [173]

Answer:

$\frac{4}{5}$

Step-by-step explanation:

We have to use the slope formula: m = slope

(x1, y1) = coordinates of the first point in the line

(x2, y2) = coordinates of the second point in the line

Here, we'll plug into our given points to give; $\frac{7--1}{2--8}$

Solving this, we get, $\frac{8}{10}$ , but we're not done, as this fraction can be reduced.

Diving both sides of the fraction by 2, we get our final answer of $\frac{4}{5}$ .

8 0

3 years ago

The graph shows the relationship between the hours a soccer team practiced after the season started and their total practice tim

Sergio [31]

Answer:

6 hours

Step-by-step explanation:

The picture of the question in the attached figure

Let

x ----> the hours a soccer team practiced after the season started

y ----> the total practice time for the year in hours

we know that

The y-intercept of a linear equation is the value of x when the value of y is equal to zero

In the context of this problem, the y-intercept is the total practice time before the season began (the value of x is equal to zero)

Looking at the graph

The y-intercept is the point (0,6)

therefore

the total practice time before the season began is 6 hours

5 0

3 years ago