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kolezko [41]
3 years ago
10

HELP PLEASE! ^^^

Mathematics
1 answer:
Strike441 [17]3 years ago
7 0
What is the formula for the area of a triangle?  A = 1/2 bh, right? If we let b = the length of the base, then the height is b + 7, seven feet greater than the base. Put in the info we have.  A = 1/2 bh                                   15 = 1/2 b(b+7)                                  30 =  b2 + 7b                                    0 = b2 + 7b - 30 Since we can't factor the equation, it's time to pull out the old quadratic formula. x = -b + √(b2 - 4ac) / 2a   =  -7 + √49 - 4(1)(-30) / 2 = = -7 + √169 / 2  -7 +13 / 2 = 3               -7 - 13 / 2 = -10 We can't have a negative length, so our base is 3.  This makes the height 10. Let's check.  1/2(3)(10) = 15.  Good to go!
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What is the slope of a line perpendicular to the line whose equation is 4x−10y=404x−10y=40. Fully simplify your answer.
Anna007 [38]

Answer:

-  \frac{5}{2}

Step-by-step explanation:

4x -10y= 40

Let's rewrite this equation in the slope-intercept form (y= mx +c) so that we can obtain it's slope.

10y= 4x -40

Divide both side by 10:

y =  \frac{2}{5} x - 4

The product of the gradients of perpendicular lines is -1.

⅖(gradient of line)= -1

Gradient of perpendicular line

=  - 1 \div  \frac{2}{5}

=  - 1 \times  \frac{5}{2}

=  -  \frac{5}{2}

5 0
3 years ago
If tan theta= 3/4 , find csc theta
dangina [55]

Answer:

csc\theta=\frac{5}{3}

Step-by-step explanation:

Given:

tan\theta =\frac{3}{4}

cot\theta =\frac{4}{3}                 [∵ cot\theta =\frac{1}{tan\theta} ]

Squaring both sides.

cot^2\theta =\frac{4^2}{3^2}=\frac{16}{9}

csc^2\theta -1=\frac{16}{9}        [∵ cot^2\theta =csc^2\theta-1] ]

Adding 1 to both sides.

csc^2\theta -1+1=\frac{16}{9}+1

csc^2\theta =\frac{16}{9}+1

csc^2\theta=\frac{16}{9} +\frac{9}{9}     [Taking LCD=9 and adding fractions ]

csc^2\theta=\frac{16+9}{9}

csc^2\theta=\frac{25}{9}

Taking square root both sides.

\sqrt{csc^2\theta}=\sqrt{\frac{25}{9}}

∴ csc\theta=\frac{5}{3}

6 0
3 years ago
Ute of Change
spin [16.1K]

Answer:

1

2

0.5

Step-by-step explanation:

8 0
3 years ago
Formula for finding perimeter/circumference of major sector<br> plz no links<br> in a hurry
Rainbow [258]

Answer:

C = 2πr or C = πd

Step-by-step explanation:

Hope this helps :)

3 0
3 years ago
What fraction of a year are 31 days ?
Alborosie

9514 1404 393

Answer:

  • non-leap years: 31/365
  • leap years: 31/366

Step-by-step explanation:

As a fraction of the number of days in a calendar year, it will depend on whether the year is a leap year.

non-leap years have 365 days, so 31 days is 31/365 years.

leap years have 366 days, so 31 days is 31/366 years.

_____

If you're asking for the purpose of computing interest, you need to be aware that "ordinary interest" counts 360 days in a year. 31 days would be 31/360 years. "Exact interest" counts 365 days in a year, so 31 days would be 31/365 years.

In astronomy, the definitions of "day" and "year" may vary, depending on the frame of reference and what direction in space marks the boundary of the period. The precise fraction will depend on how you define these terms and where the clock is located.

5 0
3 years ago
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