Find the area of this triangle. Round to the nearest tenth. 8m, 62°, 12m.

Answer:

3rd, y=-1/5x

Step-by-step explanation:

Answer:

ffffgggghhhuukufgnjsdhn

Answer:

∞

Step-by-step explanation:

since cos(0) = 1, you have 1/0

Answer:

[tex]38[/tex] and [tex]68[/tex].

Step-by-step explanation:

Let [tex]x[/tex] be the smaller one of the two number.

[tex]x[/tex] must be a positive integer. The other number would be [tex](x + 30)[/tex].

The question states that the product of the two numbers is [tex]2584[/tex]. In other words:

[tex]x\, (x + 30) = 2584[/tex].

Rearrange this equation and solve for [tex]x[/tex]:

[tex]x^{2} + 30\, x - 2584 = 0[/tex].

The first root of this quadratic equation would be:

[tex]\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}[/tex].

Similarly, the second root of this quadratic equation would be:

[tex]\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}[/tex].

Since the question requires that both numbers should be positive, [tex]x > 0[/tex]. Therefore, only [tex]x = 38[/tex] is valid.

Hence, the two numbers would be [tex]38[/tex] and [tex](38 + 30)[/tex], which is [tex]68[/tex].

9514 1404 393

Answer:

  38 and 68

Step-by-step explanation:

Let x represent the average of the two numbers. Then their product is ...

  (x -15)(x +15) = 2584

  x^2 = 2584 +225 = 2809 . . . . . . use relation (x -a)(x +a) = x^2 -a^2; add a^2

  x = √2809 = 53

Then the two numbers are ...

  53 +15 = 68

and

  68 -30 = 38

The two numbers are 38 and 68.

_____

Additional comment

Solving the problem in this way is equivalent to writing the quadratic equation for the smallest (or largest) number and solving that by completing the square. The "solution" x = -53 is not relevant in this problem.

Answer:

d

Step-by-step explanation:

i did this last year

Answer:

Step-by-step explanation:

Answer: 0.86

Step-by-step explanation:

Answer:

=fx+5f

Step-by-step explanation:

=fx+5f

The GCF of 10 and 6 is 2. May this will help you.

Answer:

because P(x) has factors of (x-2) and (x+1) => x = 2 and x = -1 are the solutions of P(x)

so we have:

[tex]\left \{ {{2^{4}+2^{3}a-2^{2}+2b-12 =0} \atop {1-a-1-b-12=0}} \right.\\=>\left \{ {{8a+2b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{4a+b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{a=4} \atop {b=-16}} \right.[/tex]

=> [tex]P(x)=x^{4} + 4x^{3}-x^{2} -16x-12[/tex]

With P(x) = 0

=> [tex]x^{4}+4x^{3}-x^{2} -16x-12 = 0[/tex]

=> ........

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

You can't divide anything by zero

0÷0=

=0

Answer:

Step-by-step explanation:

You need to find the HCF of 36 and 90.

Prime factors of each:

HCF includes all prime factors of both numbers:

To find the least number,

Which is exactly divisible by 36 and 90. We have to find the HCF of 36 and 90.

→ 36 = 2 × 2 × 3 × 3

→ 90 = 2 × 3 × 3 × 5

Then the required HCF will be,

→ 2 × 2 × 3 × 3 × 5

→ 180 (HCF)

Thus, 180 is the least number which is exactly divisible by 36 and 90.

Answer:

The prime factors are: 2 x 2 x 2 x 3 x 7 x 7 x 13

Step-by-step explanation:

Answer:

give brainliest please I need it to level up

Step-by-step explanation:

20 + 8

4(5 + 2)

100 + 75

25(4 + 3)

49 + 28

7(7 + 4)

32 + 24

8(4 + 3)

Answer:

Ans; 8 +20 —> 4(2+5)

Ans; 75+100 —> 25(4+3)

Ans; 28+49 —> 7(4+7)

Ans; 24+32 —> 8(3+4)

I hope I helped you^_^

Answer:

an emergency fund allows you to live for a few months if you lose your job or if something unexpected comes up that costs a fair chunk of money to cover

Answer:

If there ever was an emergency you will need money to pay/afford the injury

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

5/6 x 2/3 = 10/18 (5/9 reduced)

5/9 x 8/5 = 40/45 ( 8/9 reduced)

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Answer:

  D.  G(x) = (x+3)² -2

Step-by-step explanation:

G(x) is translated left 3 and down 2 from F(x). The transformation ...

  G(x) = F(x -h) +k

is a translation right h units and up k units. We have h=-3 and k=-2, so the function of interest is ...

  G(x) = F(x +3) -2

  G(x) = (x +3)² -2

Power Walking has been at the top of a natural range to walk with such a speed. A walk defines as a walking journey, and the further discussion can be defined as follows:

Given:

Power walking by the Gabriella by every 3 days  

Walking by the Mona by every 5 days  

Both walk on Monday then They both walked together,

after taking LCM of 5 and 3 that is = 15 days

For question a:

When both walk again after the same day is = 15 days

For question b:

"Tuesday" is the weekday that will it be when they walk again on the same day.

Learn more:

brainly.com/question/4546421

Answer:

Angle 8=115 degrees

Angle 2= 65 degrees

Angle 6 + angle 7 = 65+65 = 130 degrees

Angle 3 + angle 5 = 180 degrees

Step-by-step explanation:

Answer:

7x³ + 7x² + 2x - 8

Step-by-step explanation:

Let the unknown polynomial be a

a + -3x³ + 2x - 5 = 4x³ + 7x² - 3

a = 4x³ + 7x² - 3 - (-3x³ + 2x - 5)

a = 4x³ + 7x² - 3 + 3x³ + 2x - 5

a = 7x³ + 7x² + 2x - 8

Answer:

1360

Step-by-step explanation:

there are 1200 seconds in 20 minutes. if Ella can do 17 jumps in 15 seconds, you would divide 1200 by 15 (which equals 80) because that would be the number of 15 seconds in 20 minutes. then you would divide 80 by 17, which gives you your final answer of 1360 jumps in 20 minutes.

Answer:

5 + 8 × 4

Assuming "five and eight" means 5 + 8

Answer:

1st box: 1

2nd box: 1

Step-by-step explanation:

1: 3 * 7 = 21, so only put the 1 and carry the 2.

2: 5 * 6 = 30, but we have a 1 from the previous answer given so 31, but only put the 1.

I hope this helps :)

Answer:

A. x≤2; B. wrong unequality after dividing by negative number.

Step-by-step explanation:

9x-18x≥ -18;

-9x≥ -18;

0≥ -18+9x;

18≥9x;

9x≤18;

x≤2.

Answer:

Step-by-step explanation:

answer: 9

Step-by-step explanation:

x = - 4; y = 3; z = 2;2 x² - 2 z^4 + y² - x² + z^4 = = 2 * (-4)² - 2 * 2^4 + 3² - ( -4)² + 2^4 == 2 * 16 - 2 * 16 + 9 - 16 + 16 = = 32 - 32 + 9 - 16 + 16 = 9

Answer:

Step-by-step explanation:

a+1 = 3

(a - 1)^2

[tex] {a}^{2} - 2.a.b + {b}^{2} \\ \\ a - 2a + 1 \\ \\ 1 + 1 = 2[/tex]