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Bingel [31]
3 years ago
8

Choose the correct formula to find the area of the oblique ABC shown below. Select all that apply. Select all true statements.

Mathematics
1 answer:
mote1985 [20]3 years ago
8 0
The area of a triangle by definition is:
 A = (1/2) * (b) * (h)
 Where,
 b: base
 h: height
 For the case of oblique triangles we must find the height:
 There are two ways to find them:
 h = c * sine (B)
 h = b * sine (C)
 Substituting we have:
 A = (1/2) * (a) * (c * sine (B))
 A = (1/2) * (a) * (b * sine (C))
 Answer:
 
Two ways to write the area are:
 
A = (1/2) * (a) * (c * sine (B))
 
A = (1/2) * (a) * (b * sine (C))
 
Note: These results are not among the options. It was probably a mistake writing the question.
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A chemist would like to dilute a 90-cc solution that is 5% acid to one that is 3% acid. How much water must be added to accompli
Verizon [17]

Answer:

The amount of water must be added to this task = 60 cm^{3}

Step-by-step explanation:

Let amount of water added = x cm^{3}

Then from the given conditions

A chemist would like to dilute a 90-cc solution that is 5% acid to one that is 3% acid. So

90 (0.05) = 0.03 ( 90 + x )

4.5 = 2.7 + 0.03 x

0.03 x = 1.8

x = 60 cm^{3}

Therefore the amount of water must be added to this task = 60 cm^{3}

8 0
3 years ago
It is a six-digit
KonstantinChe [14]
Ok, the first clue is it has six digit and the second clue is it’s a whole number!
So we know it lies between 99999 and 1000000
3rd clue tells it has only 3 different digits and 4th clue tells us each are used twice!
Moving on, 5th clue says none of its digits are even! 6th speaks none are divisible be 3
So the possibilities for digits are 1, 5, 7
And it’s greater than 600000, then the 1st digit must be 7! It is divisible be 5, so last digit must be 5!
7th clue states that It’s tenth digit is same as hundred-thousand! Means the tenth digit is 7
Let’s see what we got!
{7xxx75}
Clue no 8 as you can see says that it’s thousands digit is same as unit digit
So the number now is {7x5x75}
9th clue says it’s hundreds digit is different from tens digit meaning the hundreds digit is either 1 or 7 and we used 7 two times, so it’s 1 and clue 10 says it’s ten thousands digit is 1 so the number that’s playing hide ‘n seek or most probably riddle game is 715175!
8 0
3 years ago
When exercising, the maximum heart rate (r ) in beats per minute is modeled by the equation shown in the box, where (a ) represe
worty [1.4K]

Answer:

186 beats per minute

Step-by-step explanation:

The maximum heart rate (r ) in beats per minute is modeled by the equation :

r = 220 - a ...(1)

Where

a is age of the person in years

If Sanchez age is, a = 34 years

Put a = 34 in equation (1)

r = 220 - 34

= 186 beats per minute

Hence, the maximum heart rate is 186 beats per minute.

7 0
3 years ago
Write the equation in slope-intercept form. (-7,-2), (2,3)
Vadim26 [7]

Answer:

y = -5/9x + 4.1

(try doing this yourself first with different points to make sure this is the right answer, because im to lazy to check myself but ill try checking D:)

Step-by-step explanation:

first you have to find the slope . to do this use the equation y2 - y1/ x2 - x1

so write as -2 - 3/  -7 - 2 is equal to -5/-9

so now write y = -5/9x + b

we must now find the y-intercept so substitute one of the points given. lets substitute 2,3 it looks easier. So it will look like 3 = -5/9(2) + b

3 = -5/9(2) + b

3 = -10/9 + b

b = 3 + 10/9

b = 4.111111

um just round to the tenth place

6 0
2 years ago
Could you help plz.​
I am Lyosha [343]

Cost of each bags of flour = $2.50

Cost of each bags of butter = $3.75

Solution:

Let f be the bags of flour and b be the pounds of butter.

Cost of 20 bags of flour 16 pound of butter = 110

⇒ 20f + 16b = 110 -------------------- (1)

Cost of 30 bags of flour 12 pound of butter = 120

⇒ 30f + 12b = 120  -------------------- (2)

Equation (1) and (2) are the system of equations.

(2) ⇒ 30f + 12b = 120

Subtract 30f from both sides.

⇒ 12b = 120 – 30f

Divide by 12 on both sides.

$\Rightarrow b =\frac{120-30f}{12}  -------------------- (3)

Substitute (3) in (1).

$20f+16\left(\frac{120-30f}{12}\right)=110

$20f+4\left(\frac{120-30f}{3}\right)=110

$20f+4(40-10f)=110

$20f+160-40f=110

Subtract 160 from both sides.

$-20f=-50

Divide by –20, we get

$f=\frac{5}{2}

f = 2.50

Substitute f = 2.5 in equation (3), we get

$\Rightarrow b =\frac{120-30(2.50)}{12}

$b=\frac{15}{4}

b = 3.75

Cost of each bags of flour = $2.50

Cost of each bags of butter = $3.75

7 0
3 years ago
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