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andrew-mc [135]
3 years ago
12

Mathwiz wya?? pic below i need help asap

Mathematics
1 answer:
n200080 [17]3 years ago
8 0

Answer:

Step-by-step explanation:

First, you gotta work out the hypotenuse of ABC, which is AC.

To do that, you need to figure out the scale factor between the two right-angled triangles. You can do that for this question because this is a similar shapes question.

12.5/5 = 2.5

The scale factor length between the two triangles is 2.5.

You can use 2.5 now to work out AC, so AC would be 13 x 2.5, which gives 32.5.

Now that you've got the hypotenuse and BC of ABC, you can use Pythagoras's theorem to work out the length of AB

Pythagoras's theorem = a^2 + b^2 = c^2

a = BC = 12.5

b = AB = we need to work this out

c = AC (the hypotenuse we just worked out) = 32.5

12.5^2 + b^2 = 32.5^2 Let's both simplify and rearrange this at the same time so that we have our b on one side.

b^{2} = 1056.25 - 156.25

b = \sqrt{(1056.25 - 156.25)}

b = \sqrt{900}

b = AB = 30  We've found b or AB, now we can work out the perimeter of ABC.

Perimeter of ABC = AB + BC + AC

= 30 + 12.5 + 32.5

= 75  Here's the perimeter for ABC.

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The fourth term of an Arithmetic Sequence is equal to 3 times the first term, and the seventh term exceeds twice the third term
11Alexandr11 [23.1K]

Answer:

The first term is 3. The common difference is 2.

Step-by-step explanation:

The first term is x.

The common difference is d.

The second term is x + d.

3rd term: x + 2d

4th term: x + 3d

7th term: x + 6d

"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"

x + 3d = 3 * x       Eq. 1

"the seventh term exceeds twice the third term by 1"

x + 6d = 2(x + 2d) + 1       Eq. 2

Simplify Eq. 1:

2x = 3d

Simplify Eq. 2:

x + 6d = 2x + 4d + 1

x = 2d - 1

Multiply both sides of the last equation by 2.

2x = 4d - 2

2x = 3d   (simplified Eq. 1)

Since 2x = 2x, then the right sides are equal.

3d = 4d - 2

d = 2

2x = 3d

2x = 3(2)

2x = 6

x = 3

Answer: The first term is 3. The common difference is 2.

8 0
3 years ago
-3 (2m+5)+8=5 (-2m+1)
Zanzabum
I just worked out the problem twice and got -4.5 both times.
3 0
3 years ago
Read 2 more answers
Find the sale price of each item. Round to two decimal places when necessary.
Bond [772]

Answer:

Sale Price: 276.25

Step-by-step explanation:

The original price of the item is $325 and the markdown is 15% off.

So, all you have to do is find out what 15% of $325, which it's 48.75, and subtract that from $325 to get your final sale price, which is $276.25.

7 0
3 years ago
The quadrilateral shown is a rectangle. What is the measure of CE?
aalyn [17]

Answer:

|CE|=2

Step-by-step explanation:

The quadrilateral is shown in the attachment

Recall that the diagonals of a rectangle are congruent.

This implies that:

|AC|=|BD|

We substitute the expressions to get:

2x-6=5x-21

This is now a linear equation in one variable.

Group similar terms to get:

-6+21=5x-2x

Simplify to get:

15=3x

Divide both sides by 3 to get:

5=x

Recall again that the diagonals of a quadrilateral bisect each other.

|CE|=\frac{1}{2}|AC|

|CE|=\frac{1}{2}|2x-6|

Plug x=5

|CE|=\frac{1}{2}|2*5-6| =10-6=\frac{1}{2}*4=2

3 0
3 years ago
Can someone pls help me
GrogVix [38]

Answer:

D) 750(1.02)^t

Step-by-step explanation:

All number of years equal the amount when plugged in

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3 years ago
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