A tree is broken at a height of 9m from the ground and its top touches the ground at distance of 12m from the base of the tree. Find the original height of the tree.

Answer:

Because of the definition of congruent

Step-by-step explanation:

This problem may sound tricky, but it's not actually that hard. We now congruent means two things are the same, so for this problem, think of it as an equal sign. (Congruent doesn't mean equal, as an equal sign denotes the relationship that two things are the same if we know the concrete value of it.) So if AB=CD, CD=AB as you can swap two sides of an equation around and get the same answer. It's like saying 2=x ∴ x=2 (The dots mean therefore in math.)

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If I am correct, it is 36 because its b x h x l x 1/2

Answer:

A

Step-by-step explanation:

Answer:

No it is not possible for Bruce and Felicia to have used the same number of tiles.

Step-by-step explanation:

Bruce would have used 10x of tiles and Felicia used 7x of tiles.

No, it is not possible that Bruce and Felicia to have used the same number of tiles

The expression which shows the difference is (n² - 2)/2n, the correct option is B.

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

Number of tiles Bruce used: 5x + 2

Number of tiles Felicia used: 5x + 5

On equating the two expressions

5x+2 = 5x+5

There is no solution

At any value of x, Bruce would have always used 3 tiles less than Felicia.

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Answer:

m∡B = 120°

Step-by-step explanation:

base angles are equal

adjacent angles are supplementary so:

4x+20 + 3x-15 = 180

7x + 5 = 180

7x = 175

x = 25

∡B = 4(25) + 20

∡B = 120°

Answer:

39.6

Step-by-step explanation:

(3x-15)+(4x+20)+2x=360

9x+5=360

9x=355

*Divide each side by 9*

X=39.4

*SUBSTITUTE X*

3(39.4)-15=103.2

4(39.4)+20=177.6

*ADD THE TOTALS FROM ABOVE*

103.2+177.6= 280.8

360-280.8=79.2

*DIVIDE THE TOTAL BY 2*

79.2/2=39.6

*CHECK*

3(39.4)-15=103.2

4(39.4)+20=177.6

103.2+177.6+39.6+39.6=360 IS CORRECT.

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Answer:

0.05x + 0.10y = 34.40

x + y = 468

Step-by-step explanation:

Step-by-step explanation:

The The guy above is correct

Answer: 12.2

Step-by-step explanation:  Pythagorean Theorem

Answer:

C.) AFD measures 30°

Step-by-step explanation:

it is 150 degrees

Answer:

the answer is C

Step-by-step explanation:

A)  angle EFC is 80 degrees so a is a true statement

B) angle BFC is 60 degrees and angle DFE is 30 degrees 60+30=90 so that's a true statement

D) angle AFB is 40 degrees and angle CFD is 50 degrees  40+50=90 so that a true statement

that leaves C and angle AFD is more than 30 degrees its 150 degrees

Answer: The slope of the line is b. 3

Answer:b

Step-by-step explanation:

Answer:

x = 4,-9

Step-by-step explanation:

This is a quadratic equation in x-intercept pattern. Since this is completely factored, we can simply solve the equation like a linear.

First, separate two equations. Let r be the roots of equation, therefore:

[tex]\displaystyle \large{r=\begin{cases}x-4=0\\ x+9=0 \end{cases}}[/tex]

I use the r-variable to denote the roots of equations (not necessary), simply separate both then solve it like a linear.

[tex]\displaystyle \large{r=\begin{cases}x-4+4=0+4\\ x+9-9=0-9 \end{cases}}\\\displaystyle \large{r=\begin{cases}x=4\\ x=-9 \end{cases}}[/tex]

Therefore, the roots of equation are x = 4 or x = -9. In short, we can write as x = 4,-9.

The reason why we use OR instead of AND because one of x-values satisfy the quadratic equation hence ‘or’ is more suitable than ‘and’. However, you must write all valid solutions instead of writing only one x-value from two.

___________________

Let me know in the comment if you have any questions.

Answer:

b

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Solution Given;

0.6%=0.6/100=0.006

So

0.006 is the percentage multipier for 0.6%.

Let's check

We need to convert it into decimals

0.006 is the answer

Answer:

5

Step-by-step explanation:

8*5=40

45-40=5

r would be 5

[tex]\text{Given that,}\\\\y^2 +9y +3 \\\\\text{when}~ y = -2,\\\\(-2)^2 +9(-2) +3 = 4-18+3 = 7 -18 = -11,[/tex]

Answer:

See below

Step-by-step explanation:

A) Recall that a turning point is where the function changes from increasing to decreasing or vice versa. Since the graph of the function is a parabola, it only has 1 turning point, which is the vertex, or (1,-4). Therefore, the coordinates of the turning point are (1,-4).

B) The roots of the equation can be found by determining where the graph intercepts the x-axis (aka. x-intercepts). In this case, these are points (-1,0) and (3,0).

Answer: B.) x ≥ -6

Step-by-step explanation:

Answer:

1. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.

2. In a right triangle, one of the angles has a value of 90 degrees.

3. The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.

Step-by-step explanation:

Answer:

1.7m

Step-by-step explanation:

Given that 'm' was the waiting time before the outbreak

After the outbreak, waiting time increased by 70%.

This implies that :

70% of m increase

m + 70% of m

m + 70/100 of m

m + ( 70÷100 ) × m

m + 0.7m

= 1.7m

Step-by-step explanation:

Answer:

B. 21:18

Step-by-step explanation:

7/6 x 3 = 21/18

This means they are equivalent.

Answer:

Option B is correct.

Step-by-step explanation:

Let's first turn 7:6 into a fraction:

=> 7:6 = 7/6

Now, let's simplify all the options to see which one is the correct answer.

Option A:

Therefore, Option A is incorrect.

Option B:

Therefore, Option B is correct.

Option C:

Therefore, Option C is incorrect.

Option D:

Therefore, Option D is incorrect.

We can conclude that Option B is correct.

[tex]BrainiacUser1357[/tex]

Step-by-step explanation:

we have a right-angled triangle, that is "hovering" 1.61 m above the ground.

the Hypotenuse (the side opposite of the 90 degree angle) is the line of sight from the eye to the top of the skyscraper.

one leg is the height of the skyscraper (minus the 1.61 m).

the other leg is the ground distance from Jacob to the skyscraper (281 m).

we know already 2 angles : the 90° angle between the ground distance and the skyscraper height. and the 25° between the ground distance and the line of sight.

and as we know that the sum of all angles in a triangle is always 180°, we know that the third angle (between the line of sight and the skyscraper height) is

180 - 90 - 25 = 65°

now we can use the law of sines

a/sin(A) = b/sin(B) = c/sin(C)

(the ratio between a side and its opposing angle)

to get all missing side lengths.

the 25° angle is opposite of the skyscraper height, and the 65° angle is opposite of the ground distance (the only side length we know so far).

so,

height/sin(25) = 281/sin(65)

height = 281 × sin(25)/sin(65) = 131.0324519... m

to get the full height of the skyscraper, we need to add the 1.61 m that the described triangle was "hovering" above ground.

therefore, the height of the skyscraper is

131.0324519... + 1.61 = 132.6424519... ≈ 132.6 m

Answer:

He must practice at least 2 more times

Step-by-step explanation:

Answer:

B) x = 3 or x = -5/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 - x = 15

Subtract 15 from both sides:

2 x^2 - x - 15 = 0

x = (1 ± sqrt((-1)^2 - 4×2 (-15)))/(2×2) = (1 ± sqrt(1 + 120))/4 = (1 ± sqrt(121))/4:

x = (1 + sqrt(121))/4 or x = (1 - sqrt(121))/4

sqrt(121) = sqrt(11^2) = 11:

x = (1 + 11)/4 or x = (1 - 11)/4

(1 + 11)/4 = 12/4 = 3:

x = 3 or x = (1 - 11)/4

(1 - 11)/4 = -10/4 = -5/2:

Answer:  x = 3 or x = -5/2

Answer:

last option

Step-by-step explanation:

b) 1/6 = 16.7 to 1dp

c) 45% = 45/100 = 9/20

d) 7/9 = 77.8% to 1dp