Evaluate.

3·(7-3)²=?

Answer:

x = 30

Step-by-step explanation:

here 50 is hypotenuse as it is opposite of 90 degree.

x and x + 10 are the two other smaller sides of a right angled triangle respectively.

using pythagoras theorem,

a^2 + b^2 = c^2

x^2 + (x + 10)^2 = 50^2

x^2 + x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 - 2500 = 0

2x^2 + 20x - 2400 = 0

2(x^2 + 10x - 1200) = 0

x^2 + 10x - 1200 = 0

x^2 + (40 - 30) - 1200 = 0

x^2 + 40x - 30x - 1200 = 0

x(x + 40) - 30(x + 40x) = 0

(x + 40)(x - 30) = 0

either x + 40 = 0          OR x - 30 = 0

x = 0 - 40

x = -40

x - 30 = 0

x = 30

x = -40,30

since the length and distance is not measured in negative ur answer will be 30

credit goes to sreedevi102

thank u very much . At first i was wrong and giannathecookie i m really sorry

Answer:

x = 30

Step-by-step explanation:

Using Pythagoras Theorem:

[tex]x^2 + ( x+ 10)^ 2 = 50^2\\\\x^2 + (x^2 + 100 + 20x ) = 2500\\\\x^2 + x^2 + 20x = 2500 - 100 \\\\2x^2 + 20x = 2400\\\\2x^2 + 20x - 2400 = 0\\\\2(x^2 + 10x - 1200) = 0\\\\x^2 + 10x - 1200 = 0\\\\x^2 + 40x - 30x - 1200 = 0\\\\x(x + 40 ) -30(x + 40) = 0\\\\(x+40)(x - 30) = 0\\\\x = -40, \ x = 30[/tex]

Since x is the measurement of a side, it can't be negative. Therefore x = 30

Answer:

.

Step-by-step explanation:

Answer:

73.13 m^2

Step-by-step explanation:

1/2(bh)

Pi(d)

Answer:

No,

Step-by-step explanation:

No, it's irrational.

Because, it is a non-terminating non recurring type number.

Answer:

$150.5

Step-by-step explanation:

CP of an item = $140

sales tax rate = 7.5%

sales tax amount = sales tax rate of CP

=7.5% of CP

= 7.5/100 * $140

=$1050/100

=$10.5

total cost with tax = CP + tax rate

=$140 + $10.5

=$150.5

Answer:

a

Step-by-step explanation:

first one i believe

Answer:

[tex]{ \tt{pH = - log[H {}^{ + } ]}} \\ pH = - log(4.2 \times {10}^{ - 5} ) \\ pH = 4.38[/tex]

Step-by-step explanation:

H

pH of a solution is 4.38

"The pH of a solution refers to the strength of solution whether it is acidic or basic in nature It is considered by the concentration of hydrogen ion in the solution."

We have,

Concentration of [tex]4.2[/tex]×[tex]10^{-5}[/tex][tex]MH_{3}O[/tex]

pH = [tex]-log(H^{+})[/tex]

⇒pH = [tex]-log(4.2[/tex]×[tex]10^{-5})[/tex]

⇒pH = 4.38

∴ pH of a solution is 4.38

Learn more about pH of a solution here

https://brainly.com/question/23162505

#SPJ2

Answer:

7

Step-by-step explanation:

we use Pythagorean theorem for solving x

a^2 + b^2 = c^2

c^2 - a^2 = b^2

(√58)^2 - (3)^2 = b^2

58 - 9 = b^2

49 = b^2

b = 7

9514 1404 393

Answer:

Step-by-step explanation:

1. The only "Given" statement involving QR is ...

  QR ≅ SR

2. You will notice that PQ ≅ PS is a Given statement.

3. The reflexive property says a segment is congruent to itself:

  PR ≅ PR

4. All three sides of the triangles have been shown to be congruent. The appropriate choice for the postulate that shows congruence of the triangles is the SSS Postulate.

Answer: 11 because it all works out.

Answer:

15.58

Step-by-step explanation:

Hope this helps.

Answer:

1) Given

2) vertical angles

3) SAS

4) CPCTC

5) Angle Addition

6) By construction

7) Transitive

Step-by-step explanation:

Answer:

812 in²

Step-by-step explanation:

The area (A) is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 29 and h = 28 , then

A = 28 × 29 = 812 in²

9514 1404 393

Answer:

  x = -9

Step-by-step explanation:

The value 13-8x apparently is the measure of the arc in degrees. That is the same as the measure of the central angle, shown as 85°. Then we have ...

  85 = 13 -8x

  72 = -8x . . . . . . subtract 13

  x = -9 . . . . . . . . divide by -8

The value of x is -9.

Answer:

∠ JKL = 70°

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary , then

∠ JKL + ∠ HJK = 180°

∠ JKL + 110° = 180° ( subtract 110° from both sides )

∠ JKL = 70°

Answer:

70

Step-by-step explanation:

did it before

Answer:

5

Step-by-step explanation:

8x^2y^3 24

degree of monomial is power of x + power of x

2 + 3= 5

Answer:

5

Step-by-step explanation:

What is that 24 doing there?

If the monomial is

[tex] 8x^2y^3 [/tex]

then the degree is 5.

The degree of a monomial is the sum of the exponents of all the variables of the monomial.

Answer:

hey. pls complete your question

Answer:

yes it's ok and I'm sorry I didn't get it

Answer:

x=33

Step-by-step explanation:

The angles of a straight line always add up to 180°.

Hence, (x+13)+(4x+2)=180 we can then remove the parenthesis and we get x+13+4x+2. Adding the two, we get 5x+15=180--->x=33

The two angles:

46° and 134°

completing the steps in the image, you should choose supplementary in the drop-down. Supplementary means the angles add up to 180 degrees In the next blank, put 4x+2. In the last blank, put 180 degrees.

Answer:

x = 7

Step-by-step explanation:

A median bisects the opposite side length, therefore

14x = 6x+56

8x = 56,

x = 7

Answer:

x = 7

Step-by-step explanation:

given:

AM is the median

BM = 14x

MC = 6x + 5x

since the median is drawn fron vertex A to BC it bisects the BC into two equal halves. So,

14x = 6x + 54

14x - 6x = 54

8x = 54

x = 54/8

x = 7

Answer:

Ok so we know that the angle on top is 110 since the angle above is the same.

we also know that all the angle of the triangle will add up to 180 so

D+(180-E)+110=180

we also know that d and the angle directly across are the same so

180-110=70

70divide by 2 equals 35

now we subtratch 35 from 180 to get 145

E=145

D=35

Your Welcome

BIFFY OUT!!!

Answer:

d=e=35 degree

Step-by-step explanation:

Answer:

DEC and AEB are the same angles

Answer:

[tex]Area =( 4 \times 3) + ( \frac{1}{4} \pi \times 2^2) \\\\[/tex] [tex]\ cm^2[/tex]

Step-by-step explanation:

The figure is a combination of rectangle and a quarter of a circle.

Therefore,

                    Area = Area of rectangle x Area of quarter of the circle

                             [tex]= (Length \times breadth ) + ( \frac{1}{4} \pi r^2)\\\\=( 4 \times 3) + ( \frac{1}{4} \pi \times 2^2) \\\\[/tex]

Bella took the sum of area of rectangle and area of entire circle.

That is why Bella is wrong.

Answer:

D: (x^2 + 3x + 9) (x^2 - 3x + 9)

-

G: (x^2 + 3x + 5) (x^2 - 3x + 5)

Answer:

[tex]d) \: \: ( {x}^{2} + 3x + 9)( {x}^{2} - 3x + 9)[/tex]

[tex]g) \: \: ( {x}^{2} + 2x + 5)( {x}^{2} - 2x + 5)[/tex]

Step-by-step explanation:

Hope it is helpful....

Answer:

60009=hh

Step-by-step explanation:

Answer:

the answer is a 4 x d = 24 I think

x^3= 125000 m^3

x=50 m

Answer:

(- 4, - 12 ) , (4, 12 )

Step-by-step explanation:

Given the 2 equations

y = 3x → (1)

y = x² + 3x - 16 → (2)

Substitute y = x² + 3x - 16 into (1)

x² + 3x - 16 = 3x ( subtract 3x from both sides )

x² - 16 = 0 ( add 16 to both sides )

x² = 16 ( take the square root of both sides )

x = ± [tex]\sqrt{16}[/tex] = ± 4

Substitute these values into (1) for corresponding values of y

x = - 4 : y = 3 × - 4 = - 12 ⇒ (- 4, - 12 )

x = 4 : y = 3 × 4 = 12 ⇒ (4, 12 )

Answer:

Step-by-step explanation:

Clara gave (1/2) of formal dresses to her sister. After giving, she has 1/2

of formal dresses (1- 1/2 = 1/2).

Number of formal dresses that Clara has = [tex]\frac{1}{2}*d=\frac{1}{2}d[/tex]

Clara bought 4 more dresses

[tex]\frac{1}{2}d + 4 = 12[/tex]