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3 years ago

????????????????????????

Mathematics

1 answer:

Sladkaya [172]3 years ago

7 0

Answer:

79 degrees.

Step-by-step explanation:

M < 4 = m < 1 + m <3 (External Angle of a Triangle Theorem).

m < 4 = 26 + 53

= 79 degrees.

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How can you decompose the composite figure to determine its area?

Gnom [1K]

Answer:

as two semicircles and a rectangle

Step-by-step explanation:

If you extend the radii shown, each becomes an end of the rectangle, and also a boundary for a semicircle. The result is two semicircles and a rectangle.

_____

Of course, two semicircles make a circle, so you could also decompose this to a circle and a rectangle.

5 0

3 years ago

Read 2 more answers

What are the coordinates of the vertex of the parabola described by the equation below? y=7(x+5)^2-4

Ipatiy [6.2K]

Answer:

$y= 7(x+5)^2 -4$

The vertex form for a parabola is given by this expression:

$y = a(x-h)^2 +k$

By direct comparison we see that for this case:

$a = 7, h = -5 and k=-4$

And we know from the general expression that the vertex is:

$V= (h,k)$

So then the vertex for this case is:

$V= (-5,-4)$

Step-by-step explanation:

For this case we have the following function:

$y= 7(x+5)^2 -4$

And we need to take in count that the vertex form for a parabola is given by this expression:

$y = a(x-h)^2 +k$

By direct comparison we see that for this case:

$a = 7, h = -5 and k=-4$

And we know from the general expression that the vertex is:

$V= (h,k)$

So then the vertex for this case is:

$V= (-5,-4)$

4 0

3 years ago

the value of a new automobile depreciates 15% during the first year, and 16% during the second year. What is its depreciated val

Flauer [41]

It starts at 100% - 15% = 85% after the first year. $15,000*0.85 = $12,750
The second year is further reduced 100% - 16% = 84%
$12,750*0.84 = $10,710

3 0

3 years ago

Cannonballs are stacked in a pyramid shape with a triangular base of 5 cannonballs on a side. How many cannonballs in all are in

jek_recluse [69]

Answer:

one side would be 15, you need to do 15x4 to find the whole pyramid, so it would be 60

Step-by-step explanation:

4 0

3 years ago

Carolyn was asked to solve the following system of equations. Her work is shown. What is the solution to the system of linear eq

Natalka [10]

Answer:

(11, 13)

Step-by-step explanation:

Carolyn's work is incorrect. Below is the correct solution:

Given:

$3x - 2y = 7$ ----› Equation 1

$y = x + 2$ -----› Equation 2

Substitute y = (x + 2) in equation 1

$3x - 2y = 7$ ----› Equation 1

$3x - 2(x + 2) = 7$ (substitution)

$3x - 2(x) -2(+2) = 7$ (distributive property)

[Note: this is where Carolyn made a mistake]

$3x - 2x - 4 = 7$

Collect like terms

$x - 4 = 7$

$x = 7 + 4$ (addition property of equality).

$x = 11$

Substitute x = 11 in equation 2

$y = x + 2$ -----› Equation 2

$y = 11 + 2$ (substitution)

$y = 13$

✅The solution to the system of equations would be:

(11, 13)

8 0

3 years ago