Determined the quadrant for an angle with the following characteristics: cotθ>0 and cscθ>0.

Dan is 8 years older than Fiona. Gavyn is 9 years younger than Fiona. If the total of their ages is 56, how old is the eldest of

r-ruslan [8.4K]

Answer:

27

Step-by-step explanation:

If Fiona's age is x, Dan and Gavyn's ages respectively are x + 8 and x - 9. We can write:

x + x + 8 + x - 9 = 56

3x - 1 = 56

3x = 57

x = 19

The eldest is Dan (because x + 8 > x and x + 8 > x - 9). His age is x + 8 = 19 + 8 = 27.

3 0

3 years ago

How can I answer this question?

stiv31 [10]

She/he could use 2 12x3 in of wood and 1 4x2 so now we will take all of the numbers and see what we get when we calculat them so when we take the 2 12x3 we will get 72 and then we will add 72 to 4x2 after we multiply them so when we multiply the 4x2 we will get 8 and now will we add 72 to the 8 and we will get a 80 for your answer hope that is the right answer if it is not sorry

7 0

4 years ago

A jeweler wants to make 14 grams of an alloy that is precisely 75% gold.. The jeweler has alloys that are 25% gold, 50% gold, &a

Goryan [66]

Given that the jeweler has alloys that are 25% gold, 50% gold, and 82% gold.

As he wants to make 14 grams of an alloy by adding two different alloys that is precisely 75% gold, so one alloy must have a percentage of gold more than 75%.

One alloy is 82% gold and, the second can be chosen between 25% gold, 50% gold, so there are two cases.

Case 1: 82% gold + 50% gold

Let x grams of 82% gold and y grams of 50% gold added to make x+y=14 grams of 75% gold, so

75% of 14 = 82% of x + 50% of y

$\Rightarrow 75/100 \times 14 = 82/100 \times x + 50/100 \times y \\\\$

$\Rightarrow 75/100 \times 14 = 82/100 \times x + 50/100 \times (14-x)$ [as x+y=14]

$\Rightarrow 75 \times 14 = 82 \times x + 50 \times (14-x) \\\\\Rightarrow 75 \times 14 = 82 \times x + 50 \times14-50\times x \\\\\Rightarrow 75 \times 14 = 32 \times x + 50 \times14 \\\\\Rightarrow 32 \times x =75 \times 14 - 50 \times14 \\\\$

$\Rightarrow x =(25 \times 14)/32=10.9375$ grams

and $y = 14-x= 14-10.9375=3.0625$ grams.

Hence, 10.9375 grams of 82% gold and 3.0625 grams of 50% gold added to make 14 grams of 75% gold.

Case 2: 82% gold + 25% gold

Let x grams of 82% gold and y grams of 25% gold added to make x+y=14 grams of 75% gold, so

75% of 14 = 82% of x + 25% of y

$\Rightarrow 75/100 \times 14 = 82/100 \times x + 25/100 \times y \\\\\Rightarrow 75/100 \times 14 = 82/100 \times x + 25/100 \times (14-x) \\\\ \Rightarrow 75 \times 14 = 82 \times x + 25 \times (14-x) \\\\\Rightarrow 75 \times 14 = 82 \times x + 25 \times14-25\times x \\\\\Rightarrow 75 \times 14 = 57 \times x + 25 \times14 \\\\\Rightarrow 57 \times x =75 \times 14 - 25 \times14 \\\\$

$\Rightarrow x =(50 \times 14)/57=12.28$ grams

and $y = 14-x= 14-12.28=1.72$ grams.

Hence, 12.28 grams of 82% gold and 1.72 grams of 50% gold added to make 14 grams of 75% gold.

3 0

3 years ago

How to i get the aswner for 3^5(8×9)

Agata [3.3K]

Hey there Emilybarnhart20,

How do I get the answer for 3^5(8x9)

Answer:

Step 1 : Finish the equation in the brackets

3^5 (72)

Step 2: Find the answer for 3^5

243 (72)

Step 3 : Multiply 243 with 72

243 (72) = 17496

Hope this helps :D

<em>~Top♥</em>

3 0

4 years ago

A(-2,-2) B(-1,2) C(2,1) / A (-4,-4) (-2,4) C(4,2)

Vitek1552 [10]

Answer:

umm lettders dont go in math pst this in englash

Step-by-step explanation

yeet

8 0

3 years ago