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use Pythagorean theorem to solve for the missing side in the triangle above

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Answer:

A = 10.5 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 7 and h = 3 , then

A = 0.5 × 7 × 3 = 10.5 cm²

Answer:

A = 10.5 cm²

Step-by-step explanation:

hope this helps

Step-by-step explanation:

The equations with solution x = 1 and y = (-1) will intersect each other at (1,-1) .

Equation 1 :-

→ y - (-1) = 1 ( x -1)

→ y +1 = x -1

→ x - y -2 = 0

Equation 2 :

→ y - (-1) = -1( x -1)

→ y +1 = -x +1

→ x + y = 0

Required answer

Answer:

0.0417

Step-by-step explanation:

[ 13^(2x + 1) - 5 × 169^x ] ÷ [ 9 × 169^x ] =

Expanding 1 from 13^(2x + 1 )

[ 13 × 13^(2x) - 5 × 169^x ] ÷ [ 9 × 169^x ] =

13 goes to the power of 2

[ 13 × 169^x - 5 × 169^x ] ÷ [ 9 × 169^x ] =

Factorize 169^x from both parts

[ ( 169^x ) × ( 13 - 5 ) ] ÷ [ ( 169^x ) × 9 ] =

Simplify 169^x

[ 1 × ( 13 - 5 ) ] ÷ [ 1 × 9 ] =

[ 13 - 5 ] ÷ [ 9 ] =

[ 8 ] ÷ [ 9 ] =

8 / 9

Answer:

zⁿ = z³

Step-by-step explanation:

We have the expression:

√(z/ z^⅓)

Hence

= z^½/ (z^⅓)^½

= z^½/ (z^⅙)

= z^(½ ÷⅙)

= z ^(1/2 × 6/1)

= z³

Therefore: zⁿ = z³

Answer:

Step-by-step explanation:

65+3x-1=4+8x(the sum of two interior opposite angle are equal to the exterior angle formed)

64+3x=4+8x

64-4=8x-3x

60=5x

60/5=x

12=x

substitute the value of x

4+8x

4+8*12

4+96

100

therefore angle ZAB=100 degree

Answer:

4x-2+5x+10=90 degree(being perpendicular)

9x+8=90

9x=90-8

x=82/9

x=9.11

Step-by-step explanation:

=============================================================

Explanation:

Refer to the chart below. The values in red up top add to the values in blue along the left column to get the 6 by 6 grid of values inside. This represents all of the possible ways to add up values on a pair of dice. There are 6*6 = 36 outcomes.

Of those 36 outcomes, we have 13 outcomes where we roll less than a 4, or greater than 8

These 13 results are shown in green boxes in the diagram.

Since we have 13 ways to get what we want, out of 36 total, the final answer as a fraction is therefore 13/36

13/36 = 0.3611 = 36.11% approximately

Answer:

The answers for ed is

Step-by-step explanation:

16 and 10

Answer:

Step-by-step explanation:

BaF2 + Na2S = 2 NaF + BaS

Answer:

720

Step-by-step explanation:

first, to figure out the side lengths you do 12*10 = 120 then 120*6 = 720 (because those sides are all equivalent)

Answer:

$227 + $24w

Step-by-step explanation:

Initial balance = $227

Amount deposited per week = $24

Amount in account after w weeks

Total amount = initial balance + total weekly deposit

Total Weekly deposit = $24 * number of weeks

Number of weeks = w

Hence,.

Total deposit = $227 + $24w

Answer:

r = 5.74%

Step-by-step explanation:

Compound interest formula is expressed as;

A = P(1+r)^t

P is the principal = $8000

A = P+I =8000 + 2000 = $10000

time t = 4years

Substitute

10000 = 8000(1+r)^4

10000/8000 = (1+r)^4

10/8 = (1+r)^4

1.25 = (1+r)^4

1.05737126344 = 1+r

r = 1.05737126344 - 1

r = 0.05737126344

r = 5.74%

This gives the rate of interest

Answer:

Step-by-step explanation:

on the edge of a cliff overlooking the Pacific ocean. You see a sailboat down in the water below you. The angle of depression to the sailboat is 28◦ . A quick tells you that the cliff you’re standing on is 150ft. How far away from the boat are you, in feet, rounded to one decimal place?(30pts)

We solve using the Trigonometric function of TANGENT

tan 28 = 150/x

Answer:

all real numbers

Step-by-step explanation:

3 + 8x = 8x + 3

Subtract 8x from both sides.

3 = 3

Since 3 = 3 is a true statement, the solution is

x = all real numbers

Every number is a solution of this equation.

Answer:

x=-2

Step-by-step explanation:

1.1x +1.2x -5.4 = -10

Combine like terms

2.3x -5.4 = -10

Add 5.4 to each side

2.3x -5.4+5.4 = -10+5.4

2.3x = -4.6

Divide each side by 2.3

2.3x/2.3 = -4.6/2.3

x= -2

Answer:

-2/3

Step-by-step explanation:

put 1 in x should be 0

k is -2/3

Answer:

The answer is option B.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The histogram shows driving to work so A even though it looks like it may fit there is no way to assume they don’t drive at all

Hope this helps

Answer:

The equation is a conditional.

y = 7.5

Step-by-step explanation:

y - 11 + 3y = 6y + 4

4y - 11 = 6y + 4

4y - 4y - 11 = 6y - 4y + 4

- 11 = 2y + 4

- 11 - 4 = 2y + 4 - 4

2y = - 15

2y ÷ 2 = - 15 ÷ 2

y = - 7.5

Answer:

26p of clay.

Hope this helped

Answer:

151

Step-by-step explanation:

First, you find the radius which is 8/2. Next, you square the radius which is 16. Now you multiply 16 by pi which is 50.26548246. Now you do 9 divided by 3 which is 3. Then you multiply 50.26548246 by 3 to get 150.7964474 or 151

Answer:

20

Step-by-step explanation:

Those angles are the same so you can put them in an equation like this:

x + 60 = 4x

Then you subtract x from both sides to get variables on one side and constants on the other:

60 = 3x

Now divide by three to find what just x is:

20 = x

And there you go <3

Answer:

32%

Step-by-step explanation:

Percent means out of 100 so we need the denominator to be 100

8/25  * 4/4 = 32/100

The percent is the numerator since it is now out of 100

32%

Answer: 32%

Step-by-step explanation:

32%

Answer:

The circle one

Step-by-step explanation:

What you need to do is count the number of squares or slices it has and then count how Buchanan the chunk is divided into, should be 6

==============================================================

Explanation:

Ignore the dashed smaller lines for now. The solid black vertical lines form 4 smaller equal pieces, and not 5. Each tickmark represents 1/4 and not 1/5

So if you wanted to represent a model for [tex]\frac{1}{4}\div 6[/tex], then you would use the lower left corner. However, we want that 1/4 to be 1/5 instead. So this is why the answer is the lower left corner.

Everything else is a correct model. We started dividing everything into 5 equal parts. Then we focused on one of those slices, and subdivided that slice into 6 equal parts. Imagine doing that for each slice and we should have 5*6 = 30 smaller pieces total. Hence [tex]\frac{1}{5} \div 6 = \frac{1}{5} \times \frac{1}{6} = \frac{1}{30}[/tex]

Answer:

Step-by-step explanation:

The first step for solving this expression is to remove the first set of parenthesis.

-8.3x+4 - (3.2x-5)

Remember that when there is a "_" sign in front of the parenthesis, we must change the sign of the expression to the following

-8.3x + 4 - 3.2x + 5

Collect the like terms with an x variable.

-11.5x + 4 + 5

Lastly, add the number to get your final answer

-11.5x + 9

Hope that helps you dear...

Have a nice day..

Buhbye!

a = 3

b = -7

c = 4

Explanation

what you need to know:

[tex]a {x}^{2} + bx + c = 0[/tex]

what you have:

[tex]4 + 3 {x}^{2} - 7x = 0[/tex]

so you just rearrange them from highest exponent being on the left to lowest exponent being on the right:

[tex]3 {x}^{2} - 7x + 4 = 0[/tex]

Answer:

90 and 80 degrees

Step-by-step explanation:

Answer:

A might be right

hope this is helpful

The required correct statement for WXYZ to be a square is given as,
A. WX ≅ XY.
C. WXYZ  is parallelogram.
D. ∠W is congruent to ∠Y.
E. ∠W is a right angle.

A frame with a square shape i.e. all sides are identical and the measure of the angle between the side is 90°.

Here,
A square is a four-sided regular polygon, and also square is said to be a parallelogram because the opposite of a square is parallel. And each of the four angles of the square is equal to each other and has a measure of 90°.

Thus, the correct statement for the square has been shown above.

Learn more about square here:
https://brainly.com/question/1658516
#SPJ2

Answer:

sin=180/181

cos=19/181

tan=19/180