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Ivenika [448]
3 years ago
6

Help please!!!! Need this ASAP

Mathematics
2 answers:
kap26 [50]3 years ago
7 0
(PT)^2 = PA . PB
PA = 15 + x
x = Diameter

-> 31^2 = (15 + x) . 15
-> 961 = 225 + 15 x
-> 15x = 961 - 225
-> 15x = 736
-> x = 736/15
-> x = approximadately 49

Answer: 1st Option (49.1)

Darina [25.2K]3 years ago
3 0
The diameter is about 49.1
You can find this using the equation: 31^2 = 15 x (15+diameter)

Hope this helped!!
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Which of the following represents the zeros of f(x) = x3 − 11x2 + 38x − 40?
Delvig [45]
The answer is <span>5, 4, 2
</span>
Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
                          x³ - 11x² + 38x - 40
(x - 5)  * x² =      x³ - 5x²                   Subtract
____________________________
                              -6x² + 38x - 40
   (x - 5) * (-6x) =    -6x² + 30x          Subtract
____________________________
                                           8x - 40
                    (x - 5) * 8 =     8x - 40   Sutract
____________________________
                                              0

Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)

Now, let's simplify x² - 6x + 8.

x² - 6x + 8 = x² - 2x - 4x + 8 =
                  = x² - 2*x - (4*x - 4*2) = 
                  = x(x - 2) - 4(x - 2) =
                  = (x - 4)(x - 2)

Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0            or             x - 4 = 0              or      x - 2 = 0
x = 5                 or              x = 4                   or      x = 2
3 0
3 years ago
27.38 + 384 -<br> I don’t know the answer can I please have some help
Katen [24]

Answer:

411.38

Step-by-step explanation:

When you add 27.38 and 384 together, you get 411.38.

3 0
3 years ago
The proof shows that opposite angles of a parallelogram are congruent. Given: ABCD is a parallelogram with diagonal AC. Prove: ∠
Rom4ik [11]

A parallelogram is a figure which has its <em>opposite</em> sides to be <u>equal</u> and <u>parallel</u>. The <em>missing</em> reason in the proof is:

B. Substitution Angle Angle Postulate.

A <em>parallelogram</em> is a type of quadrilateral that has its <u>opposite</u> sides to be equal and parallel. The sum of its <em>internal</em> angles is 360^{o}.

To <u>prove</u> that ∠ BAD ≅ ∠ DCB, we have:

Given parallelogram ABCD;

<BAC ≅ <ACD (alternate angle theorem)

<DAC ≅ <ACB (alternate angle theorem)

<BAC + <DAC = <BAD

Also,

<BCA + <DCA = <BCD

Therefore,

<BAD ≅ <DCB (Substitution Angle Angle Postulate)

Thus, the <u>missing</u> reason in the partial proof is:

option B. Substitution Angle Angle Postulate

A sketch is attached to this question for more clarifications.

Visit: brainly.com/question/3100335

4 0
2 years ago
What's the answer to number 16?
Svet_ta [14]
You will wait 210 days. Hope this helps!
4 0
3 years ago
Read 2 more answers
Sita and Ram divided Rs. 250 into 2:3 ratio. Find their shares.​
miskamm [114]

Answer:

Rs. 100 and Rs. 150

Step-by-step explanation:

the ratio = 2:3 => the sum = 2+3=5

Sita gets = 2/5 × 250 = 100

Ram gets = 3/5 × 250 = 150

7 0
3 years ago
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