Use similar triangles to calculate the height, h cm, of triangle ABE.
10 cm
D
36 cm
X
h
A А
E
20 cm

The required measure of the hypotenuse length is √544. Option D is correct.

In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units.

In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.

Here,
Apply Pythagoras' theorem,
(hypotenuse)² = sum of the square of the legs,
(hypotenuse)² = 20² + 12²
(hypotenuse)²  = 544
hypotenuse = √544

Thus, the required measure of the hypotenuse length is √544. Option D is correct.

Learn  more about Pythagorean triplets here:

brainly.com/question/22160915

#SPJ2

Answer:

3 cm and 1.75 cm

Step-by-step explanation:

the numbers have to coincide with the ones being compared in the same amount. like 3×2=6 and its the same with 1.75×2=3.50

Answer:

a= 8 and PQ= 28

Step-by-step explanation:

since triangle XYZ and triangle PQR are congruent, we will write the equation like this:

PQ=XY

3a+4= 5a—12

3a—5a= —12—4

—2a= —16

a= 8

SUBSTITUTE THE VALUE OF A IN THE EQUATION TO GET THE VALUE OF PQ

PQ= 3a+4

PQ= 3(8)+4

PQ= 24+4

PQ= 28

Answer:

4x^6

Step-by-step explanation:

Area of the square pasture = L² where:

L is the

length of one side of the pasture

Given

L = 2x³

Area of the pasture = (2x³)²

Area of the pasture =2x³•2x³

Area of the pasture = 4x^{3+3}

Area of the pasture = 4x^6

Hence the area of the pasture is 4x^6

Answer:

$1711.5

Step-by-step explanation:

Step one

given data

Principal = $1500

interest rate= 4.5% = 0.045

time = 3 years

Step two:

The compound interest expression is

[tex]A= P(1+r)^t\\\\A=1500(1+0.045)^3\\\\A=1500(1.045)^3\\\\A=1500*1.141\\\\A=1711.5[/tex]

Answer:

Step-by-step explanation:

Here you go mate

step 1

x^2+5x-14=0  equation/Question

step 2

x^2+5x-14=0  factor by setting them equal to zero

(x-2)(x+7)=0

answer

x=2 or x=-7

Answer:

2t-g

Step-by-step explanation:

Collect like terms

3t-t= 2t

2g-3g= -g

2t-g

Answer:

21 6

7 2

14 4

Step-by-step explanation:

not sure |•-•|

Answer:

it looks like it is completely factored out to me at least there is a high possibility I am wrong because that looks complicated I wish I could help

Answer:

192cm²

Step-by-step explanation:

The diagonal of the rectangle is expressed using the formula:

d = √l²+w²

l is the length

w is the width

Given d = 20

20 = √l²+w²

400 = l²+w² .... 1

Since the difference between the length and the width is 4cm, then;

l - w = 4 ... 2

l = 4 + w

Substitute equation 2 into 1;

400 = (4+w)²+w²

400 = 16 +8w + w² +w²

400 = 16 + 8w + 2w²

2w²+8w - 384 = 0

w²+4w - 192 = 0

w = -4±√4²-4(-192)/2

w = -4±√16+768/2

w = -4±28/2

w = -4+28/2

w = 24/2

w = 12

Since l = w+4

l = 12+4

l = 16

Area of the rectangle = 16 * 12

Area of the rectangle = 192cm²

Answer:

rytytyf

Step-by-step explanation:

yiyiuyiuy

Answer:

Part A: 100

Part B: 625

Step-by-step explanation:

Part A equation: 25 x 4 = 100

Part B equation: 25 x 25 = 625

Answer:

angle HEG = 12 degrees

Step-by-step explanation:

A line is 180 degrees. Since there is a right angle there, you know that angleHEG and 78 added together is 90degrees

x + 78 = 90         >> subtract 78 from both sides

x = 12

angle HEG = 12 degrees

Answer:

18 degrees

Step-by-step explanation:

There is a little box on the left that indicates both angles together make a 90 degree angle so you just have to do 90 - 78 to get the answer.

Answer:

634

Step-by-step explanation:

The population of the birds in 2001 = 230000

From 2001 to 2021 = 20 years

Given:

y = 200000[tex](0.75)^{x}[/tex]

where x is the number of years since 2001.

The population of the birds after 20 can be determined by;

y = 200000[tex](0.75)^{20}[/tex]

  = 200000(3.171211939 x [tex]10^{-3}[/tex])

  = 634.2424

y = 634

Thus, there would be 634 endangered birds in 2021.

Answer:

= 1 2

Step-by-step explanation:

Combine multiplied terms into a single fraction

Multiply by 1

Add the numbers

Subtract  7  from both sides of the equation then Simplify

Answer:

225 I just checked tell me if you're right

Answer:

15*15 = 225

15*15 is the same as [tex]15^{2}[/tex]

if you wanted to sit there you could add 15 with itself 15 times and you'd get 225.

no matter how ya do it, 15 *15 is 225

Step-by-step explanation:

Answer:

i think its B cause 4 was the radius

Step-by-step explanation:

Answer:

57/32

Step-by-step explanation:

171/32 divided by 2 2/3

Answer:

216*64/8=1728....

Step-by-step explanation:

12³ is the appropriate answer

Answer:

10x+2y

Step-by-step explanation:

combine like terms

Answer:

Step-by-step explanation:

3x + 4y + 7x - 2y=3x + 7x +4y - 2y

10x + 2y

Answer:

A ratio is a comparison of two numbers. A rate, by contrast, is a comparison of two quantities which can have different units.

Step-by-step explanation:

For example 5 miles per 3 hours is a rate, as is 34 dollars per square foot.

m<1:51, m<2:39, m<3:90

Answer:

A real solution in algebra is simply a solution to an equation that is a real number.

for example

If y>0, then x2 = y has two real solution or roots. x = ±√y

If y=0, then x2 = y has one real solution.

Answer: x=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x+5=x+25

Or,6x=30

Or,x=5

Answer:

Second number line represents the [X-5]=1.

Step-by-step explanation:

Given : [X-5]=1 .

To find : Which number line represents the solutions to [X-5]=1.

Solution : We have given that [X-5]=1.

We can se the value x-5 is inside the modulus it may be positive or negative.

So, we will do it by both cases.

1) (x - 5) = 1

On adding by 5 both sides.

x = 1+5 = 6

x = 6.

2) if -(x-5) = 1

remove parenthesis

-x +5 = 1

On subtracting by 5 both side

-x = -4

On dividing by -1 both side

x = 4.

So , x = 4, 6.

Therefore , the second number line represents the [X-5]=1.

Answer:

Irrational numbers cannot be written as a fraction, or the ratio of two whole numbers.

You would have to find a GCF (greatest common factor) and multiply it out of the radical.

ex.

[tex]\sqrt{6}[/tex] = 2 x 2 x 2

when you have to multiplier numbers then you can combine two of them to take outside the radical, meaning 2x2x2

2[tex]\sqrt{2\\}[/tex]

so [tex]\sqrt{6}[/tex] would be closest to the positive 2 on the number line and 2 notches.

[tex]\sqrt{11}[/tex]

is an irrational number, so it might fall into 3.3 if turned into a decimal.

Step-by-step explanation:

Step-by-step explanation:

b2 =5

.....................

Answer:

4

Step-by-step explanation: