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Dvinal [7]
3 years ago
5

Evaluate the equation. 196b = 450.8

Mathematics
2 answers:
dolphi86 [110]3 years ago
7 0

Answer:

B=2.3

Step-by-step explanation:

196b÷196=450.8÷196

Scilla [17]3 years ago
6 0

Answer:

b = 2.3

Step-by-step explanation:

450.8 / 196 = 2.3

You might be interested in
Find the missing exponent. 10 =1,000
Hoochie [10]

Answer:

10^3

Step-by-step explanation:

An easy way to get exponents done if you're dealing with a multiple of 10, is to count the number of 0's present.

Since there are 3 0's in 1000, 10*10*10 = 1000 which just so happens to be the exponent needed

5 0
2 years ago
1 pts
timama [110]

Answer:

ASA

Step-by-step explanation:

Given:

Two triangles ABC and EDC such that:

AB ⊥ BD and BD ⊥ DE

C is the midpoint of BD.

The two triangles are drawn below.

Since, AB ⊥ BD and BD ⊥ DE

Therefore, the two triangles are right angled triangle. The triangle ABC is right angled at vertex B. The triangle EDC is right angled at vertex D.

Since, point C is the midpoint of the line segment BD.

Therefore, C divides the line segment BD into two equal parts.

So, segment BC ≅ segment CD (Midpoint theorem)

Now, consider the triangles ABC and EDC.

Statements                                             Reason

1. ∠ABC ≅ ∠CDE                         Right angles are congruent to each other

2. BC ≅ CD                                   Midpoint theorem. C is midpoint of BD

3. ∠ACB ≅ ∠ECD                         Vertically opposite angles are congruent

Therefore, the two triangles are congruent by ASA postulate.

So, the second option is correct.

7 0
3 years ago
How do you solve x for (x+5)^3/2 = ( x-1)^3
malfutka [58]

Answer:

x = 6 (2^(1/3) + 2^(2/3)) + 7 or x = 6 (-2)^(1/3) ((-1)^(1/3) - 2^(1/3)) + 7 or x = 6 (-2)^(1/3) ((-2)^(1/3) - 1) + 7

Step-by-step explanation:

Solve for x:

1/2 (x + 5)^3 = (x - 1)^3

Expand out terms of the right hand side:

1/2 (x + 5)^3 = x^3 - 3 x^2 + 3 x - 1

Subtract x^3 - 3 x^2 + 3 x - 1 from both sides:

1 - 3 x + 3 x^2 - x^3 + 1/2 (x + 5)^3 = 0

Expand out terms of the left hand side:

-x^3/2 + (21 x^2)/2 + (69 x)/2 + 127/2 = 0

Bring -x^3/2 + (21 x^2)/2 + (69 x)/2 + 127/2 together using the common denominator 2:

1/2 (-x^3 + 21 x^2 + 69 x + 127) = 0

Multiply both sides by 2:

-x^3 + 21 x^2 + 69 x + 127 = 0

Multiply both sides by -1:

x^3 - 21 x^2 - 69 x - 127 = 0

Eliminate the quadratic term by substituting y = x - 7:

-127 - 69 (y + 7) - 21 (y + 7)^2 + (y + 7)^3 = 0

Expand out terms of the left hand side:

y^3 - 216 y - 1296 = 0

Change coordinates by substituting y = z + λ/z, where λ is a constant value that will be determined later:

-1296 - 216 (z + λ/z) + (z + λ/z)^3 = 0

Multiply both sides by z^3 and collect in terms of z:

z^6 + z^4 (3 λ - 216) - 1296 z^3 + z^2 (3 λ^2 - 216 λ) + λ^3 = 0

Substitute λ = 72 and then u = z^3, yielding a quadratic equation in the variable u:

u^2 - 1296 u + 373248 = 0

Find the positive solution to the quadratic equation:

u = 864

Substitute back for u = z^3:

z^3 = 864

Taking cube roots gives 6 2^(2/3) times the third roots of unity:

z = 6 2^(2/3) or z = -6 (-1)^(1/3) 2^(2/3) or z = 6 (-2)^(2/3)

Substitute each value of z into y = z + 72/z:

y = 6 2^(1/3) + 6 2^(2/3) or y = 6 (-1)^(2/3) 2^(1/3) - 6 (-1)^(1/3) 2^(2/3) or y = 6 (-2)^(2/3) - 6 (-2)^(1/3)

Bring each solution to a common denominator and simplify:

y = 6 (2^(1/3) + 2^(2/3)) or y = 6 (-2)^(1/3) ((-1)^(1/3) - 2^(1/3)) or y = 6 (-2)^(1/3) ((-2)^(1/3) - 1)

Substitute back for x = y + 7:

Answer: x = 6 (2^(1/3) + 2^(2/3)) + 7 or x = 6 (-2)^(1/3) ((-1)^(1/3) - 2^(1/3)) + 7 or x = 6 (-2)^(1/3) ((-2)^(1/3) - 1) + 7

7 0
3 years ago
Read 2 more answers
To determine the effect their salespersons have on purchases, a department store polled 700 shoppers regarding whether or not th
Soloha48 [4]

Answer:

a) p = 352/700 = 0.5029

b) p = 348/700 = 0.4971

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

There are 700 shoppers.

151 + 201 = 352 were happy with the service received.

133 + 215 = 348 were not happy with the service received.

(a) A shopper was happy with the service received.

352 happy out of 700

p = 352/700 = 0.5029

(b) A shopper was unhappy with the service received.

348 unhappy out of 700

p = 348/700 = 0.4971

5 0
4 years ago
Calculate the value <br><br>X + 20<br>3x + 10<br>5x +10°​
Serga [27]

Answer:

x + 20°​ = 35.56​​°

3x + 10​​° = 56.68°

5x + 10​° = 87.8°

Step-by-step explanation:

Assume;

Given measures are angle of a triangle

x + 20°​

3x + 10​°​

5x + 10​°

Find:

Value of each angle

Computation:

We know that, sum of all interior angle in a triangle is 180°​

So,

We say that

x + 20°​  + 3x + 10​°​  + 5x + 10°​ = 180°

9x + 40° = 180°

9x = 140°

x = 15.56°

So,

x + 20°​ = 15.56 + 20 = 35.56​​°

3x + 10​​° = 3(15.56) + 10 = 56.68°

5x + 10​° = 5(15.56) + 10 = 87.8°

6 0
3 years ago
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